{"text":"Question: Sort 0, -3630, 5, -202 in decreasing order.\nAnswer: 5, 0, -202, -3630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + i + 1. Let z(q) = -2*q**3 + q**2 - 2*q. Let u be 14\/(-4) - 5\/(-10). Let g(j) = u*y(j) - z(j). Calculate g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -14. Let n = y - 8. Let q be (-8)\/22 + (-4)\/(-22). What is the closest to n in q, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74972 is divided by 143.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 269, 906, 1705, 2468, 2997, 3094, 2561?\n\"Answer: -33*m**3 + 279*m**2 + 31*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/2 - 2\/(-4). Suppose 0 = -m*c - 2*c + 2*l + 16, 5*l = 20. Let j = 11 - c. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.13 and -76048.\nAnswer: -9886.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - (sqrt(76) - -3*(sqrt(76) - (2*sqrt(76) - sqrt(76))))) - sqrt(76) - sqrt(76)) + 5*1*sqrt(76))\/(sqrt(8)\/(sqrt(22)\/sqrt(44))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 + 11*j - 27. Suppose 0 = 3*k + 11 + 1, -59 = 3*h + 5*k. Let w be o(h). Let c = 13\/12 - 3\/4. Sort c, 0, w in increasing order.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z + 0*z + z + (-2 + 0 + 1)*(2 + 1 - 4)*(4*z + 5*z - z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(1\/1*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(400)*-2*4)\/sqrt(10))\/(sqrt(56)\/(1*sqrt(7)*-1)) + 4.\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a2 (base 15) to base 2.\nAnswer: 101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s + 10*s + 6*s - 25*s + 11*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 8 + 4)*(6*w - 2*w - 3*w)*(-w**3 + 0*w + 0*w) in the form v*w**3 + d*w**2 + q*w + x + i*w**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -160 + 160.3. Which is the nearest to -2\/17?  (a) 1  (b) l  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 2.8. Let t be 110\/(-30) + (-4 - -8). Let n = -20 + 19.8. What is the closest to n in 0.5, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 12. Let h(g) = -9*g**2 - 6*g - 4. Let j(w) = -9*w**2 - 5*w - 3. Let u(s) = 2*h(s) - 3*j(s). Is u(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 49572, -0.4, 0.013 in decreasing order.\nAnswer: 49572, 0.013, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -16*n - 3. Let l = 66 + -47. Calculate the remainder when t(-6) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 8. Let v(s) = s + 8. Let q be v(-6). Suppose 4*f + f - 35 = -5*d, 1 = -q*d + 3*f. Solve -j*i - 4 = -d*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b**3 - 6*b**2 - 10*b + 4. Let g be n(-6). Let i = -180 + g. What is the hundreds digit of (1\/(12\/i))\/((-1)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 - 1124*c - 44156.\nAnswer: (c - 1162)*(c + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 2 - 48\/27. Is -0.22 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19.984 + -0.016. Let x = t - -16. What is the nearest to 2\/3 in 0.2, 0.1, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 - w - 1. Suppose -2*y + y + 4 = 0. Does 7 divide p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 14) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -6*h - 5. Let w(g) = -g + 1. Calculate -r(i) - 4*w(i).\nAnswer: 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13.9 and 95466?\nAnswer: -1326977.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67 - -4 - 1 - (368 + -346).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.265294935 rounded to four dps?\nAnswer: -0.2653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + -6475138?\nAnswer: -6475142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 177 = 184 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**1)**(1\/25)*b**(-5)*b**(2\/5)\/b assuming b is positive.\nAnswer: b**(-139\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 5*k + 5. Let c(n) = -1 + n - n**2 + 0*n**2 + 4 - 2*n. Let w(z) = 3*c(z) - q(z). Let r be 2 - -1*(3 + -2). Give w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1935\/(-70) + 28)\/(6\/21).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 8 - 5*k + 41 + 5*k + k**2. Let p(n) = -36*n. What is p(h(j))?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 - 40. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3*n**2 - 2*n + 1. Let k be q(1). Let d be (3 + -5)\/((-4)\/6). Suppose -d*c = -2*c - k. Solve 5*a - 4*s - 23 = -2*s, c*a - 3*s - 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 5:10 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 1097 = -12323. Round m to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-57 - (0 - (12 + -23))) + 16 + -7\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5 or 263\/3?\nAnswer: 263\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1027352 (base 8) to base 15.\nAnswer: 5636e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.14199 + 0.1?\nAnswer: 4.24199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3978595990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**3 + 3*f**2 - 53*f - 2. Let c(j) = -j**3 + 2*j**2 - 51*j - 2. What is -2*b(l) + 3*c(l)?\nAnswer: 3*l**3 - 47*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + a = -41, 25 = 3*a - 8*a. Suppose n - 54 = x. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32680 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 27 and 0.3?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hjxeo. Give prob of picking 1 e and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 9*c**2 + 10*c + 4. Is 6 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 342 - 242. Let r be ((-4)\/(-10))\/((-5)\/k). What is the biggest value in r, -0.2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 n, and 1 x when three letters picked without replacement from {j: 1, x: 1, d: 1, c: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -612*m**2 + 612*m**2 + 0*m**3 - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4194.34 weeks?\nAnswer: 42278947.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 8. Let x(z) = -1 - 8*z + 6*z + 4*z - 5*z + 5*z. Let p be x(w). Solve -6 + p = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of 1597*d**6\/3 - 3*d**2\/2 + 74*d + 2793. Find the second derivative of r(s) wrt s.\nAnswer: 63880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7923, 15800, 23691, 31602, 39539, 47508?\nAnswer: 55515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -386574, -386548, -386510, -386454, -386374, -386264?\nAnswer: -386118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3883\/10 + -385. Find the common denominator of u and ((-2727)\/84)\/(-9) - (5 + -4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1495837\/64 + -23373. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*v**2 - 66\/5*v - 58\/5*v**3 + 4\/5.\nAnswer: -2*(v - 1)**2*(29*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.88 + -1.38. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3497 times 0.3268\nAnswer: -1142.8196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.3414 and 50983331.\nAnswer: 50983332.3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -227 + 371. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -82*-0.02\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**3 - c**2 + 6*c + 2. Let h = -7 + 15. Suppose -4*o + h = -6*o. What is the tens digit of y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 - 176\/(-30) - (-2)\/15. Suppose r = 4*g + u*r - 15, -2*r = g - 9. Calculate the highest common divisor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000211569483 rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 288 is divided by (13 + 693\/(-49))*-35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10511*c*m**2*v - 3579*c*m**2 + 8*m**2*v - 5*m**2 - 5*m*v + 6*m + 7*v - 8 wrt c.\nAnswer: -10511*m**2*v - 3579*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3314 = -254*r + 54*r + 16314 for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**3 - 2*x**3 + x**3 + (0*x**2 + 0*x**2 - 2*x**2)*(x - 2*x - x) - x**2 + x**3 + x**2)*(9 - 3 + 7).\nAnswer: 91*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 31 = 4*y, 1362*v + 17 = 2*y + 1367*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -0*b + 5. Suppose 4*q = 2*n - b + 1, q = -1. Suppose -4*a + 9 - 1 = n. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -4536.\nAnswer: -1\/2268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4041*y - 230. Is m(2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 6:04 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 + -27. Let k = 9.27 + h. Let n = k + -0.26999935. Round n to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4 = 4*d - d, 0 = t + d - 4. Let 2*u + 8 + 6*u**2 - 14*u - 2*u**t = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6115735 + -16.1?\nAnswer: 6115718.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 242*h - 247*h = -29, -24 = -2*p - 4*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 6:19 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(-4*q + 4*q - 2*q) + (-4 - 1 + 3)*(-q + 3*q - 3*q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.03 - -0.03. Let d = i - -6.3. Which is the second biggest value?  (a) d  (b) -3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -4*g + 18, 0 = 4*g + g + 3*w - 17. Let k(r) = -18*r + g*r + 11*r. Let z(u) be the third derivative of -u**5\/60 - 2*u**2. What is z(k(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of -8*j + 0*j**4 + 0 + 0*j**2 - 25\/6*j**3 - 3\/10*j**5. What is the second derivative of y(z) wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -710\/9 - -78. Let k(a) = -a**2 - 18*a + 88. Let r be k(-22). Is r != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20319*r + 20324*r - 320 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + ((6 - 3) + -1 + -1 - (310 + -315)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9072, -9469, -10030, -10755?\nAnswer: -11644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 65*i**3 - 13*i**2 + 4*i + 42. What are the prime factors of c(6)?\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 4*m - 2*m + 12, -5*m - 20 = 5*u. Let i be (-2 - 19)*1\/(-3). Let r be (1 - u) + -4 + i. What is the greatest common factor of r and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 4*j**2 + 2*j + 3. Suppose 0 + 12 = -4*s. Let q be (s\/6)\/((-10)\/12)*5. Let h be c(q). Which is bigger: h or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vtxkbxhh. What is prob of picking 1 h, 2 x, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -1186225 and -1186225 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 102 - 54. Let u be (-27)\/9 + 1 + 18. What is the greatest common divisor of t and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -102*d + 386. Let c(o) = -77*o + 289. Let x(w) = -9*c(w) + 7*n(w). Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1173 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 46478263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + 0*n - 4*n = 10*p - n + 111 - 33, 0 = -6*n - 156 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -875\/8 - -871\/8. What is the closest to z in -3, -5.3, 0.077?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1139, -100, 939?\n\"Answer: 1039*m - 2178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3667?\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101 - -1000100011001?\nAnswer: 1000100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*j - 4 = -t, 5*t + 30 = 0. Let s(b) = -3*b - 3. Let r be s(-3). What is the third derivative of n**r - n**2 + 0*n**6 - 14*n**2 + 9*n**j wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 48.05744ns?\nAnswer: 0.00004805744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**5 + 4*w**4 - 52*w**3 + 112*w**2 - 94*w + 28.\nAnswer: 2*(w - 2)*(w - 1)**3*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 98853 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gzhai. Give prob of picking 1 a and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15542578?\nAnswer: 2, 1187, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49729802 divided by -1212922.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 595 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -r - 0. What is the derivative of 5*t**3 + 4 - 3*t**2 + 3*t**r - 3*t**3 wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 19 - 257. Calculate the remainder when a is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -448 + 8*q + 448.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 2.66\nAnswer: -11.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6183696 + 6183696 - 30*d**2.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*j - 29617 = -188*j - 7777. Calculate the remainder when 19598 is divided by j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -5. Let j = -979 - -981. Suppose -15 + 2 = -5*f + 3*z, j*f = -4*z + 26. Solve -o*m + 0*m = s - 7, f*m + 3*s - 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k + 10. Let n be f(5). Suppose n = 4*a - 10*a - 2*a. Suppose 213 = -a*t + 3*t. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 4*o - b, 3*o + 4*b - 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 75673195 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14.442 - 0.142. Let c = 1.3 - s. Let n = c + 12.99991. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b + 0*b - 12*b**3 + 2*b**3)*(-2*b - 1 + 1 + (-2*b + 3*b - 3*b)*(-36 - 2 - 16) + 0*b - b - b).\nAnswer: -1040*b**4 - 520*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(264)\/sqrt(539))\/(5*3*sqrt(1200))*-1*4.\nAnswer: -4*sqrt(2)\/525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -40400573.8 to the nearest 10000.\nAnswer: -40400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15801, -17597, -20593, -24789, -30185, -36781?\nAnswer: -44577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45232985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/271 in 0.04, 164, -1\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3430*v + 3402*v + 588 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, y: 3, i: 1}. What is prob of sequence yi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 753a56 - 1b?\nAnswer: 753a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 divided by 476779.\nAnswer: 20\/476779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 492 = -x, -33*t + 35*t = 2*x + 964. Let v = -3386\/7 - x. What is the closest to v in 8, 1, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -550\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -i**4\/4 + i**2\/2 + i - 9. Let x be t(-1). Suppose -5 = -3*a + x. Solve 2*l - 4*b - 4 = 6*l, a*b = -l - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -47789811*f**3 - 1291565*f**2 + 6*f wrt f.\nAnswer: -286738866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114*f = 309 + 238 + 137. Let a = -21 - -43. What is the remainder when a is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 14*k + 11. Let f(t) = t. Let v(m) = 2*f(m) + u(m). Let z(i) = 3*i + 2. Suppose -g = 3*g + 8. Calculate g*v(w) + 11*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t = 17*t + 15. Let w be -2 + (-2 - (-3 + 0)) - t. What is the greatest common divisor of 22 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2*(sqrt(880) - (sqrt(880) + sqrt(880)*-3 + sqrt(880)))\/sqrt(5) + ((sqrt(1100) + 3)*-6)**2*3).\nAnswer: -359316 - 19488*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.517*53\nAnswer: 27.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*r**3 - 4*r**3 - 1560*r + 1455*r**4 + 2268*r - 1403*r wrt r?\nAnswer: 17460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + (-146)\/(-140) - -1. Let h = -111\/140 + c. Put h, -0.3, 0.4 in decreasing order.\nAnswer: 0.4, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5172*w - 3435*w - 2290*w - 68*w.\nAnswer: -10965*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/20)\/((28\/(-14))\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1*-3)\/(-9)*2. Let o = -56.44 + 56.84. What is the closest to s in o, -6, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*n - 24 = -57*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 4*t - t**2)*(-1 - 3 + 1)*(1 - 2*t - 1).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1319*s - 1251*s + 1496 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g**2 - 14*g + 7. Give w(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of -23*o**5\/5 - o**4\/4 - o**3\/6 - o**2 + 10*o - 4. List the prime factors of r(-2).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -4*b + 3851. Calculate the greatest common factor of 109 and b.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i - 2. Let n be 15\/1*4\/10. Let h be o(n). Suppose h*c + 3*y = 137, -2*c = -4*y + y - 73. What is the highest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2241805*a**4*r**2 + 2086*a*r**2 - 16*r**2 wrt a.\nAnswer: 26901660*a**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*g**3 - 9046*g**2 - 28244*g + 30864.\nAnswer: -2*(g + 4)*(g + 643)*(7*g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3.20109 + -0.00109. Is 88 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3837125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 66\/10 + 3\/(-5). Suppose -l - 25 = -s*l. Solve 2 = l*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/9*(2\/(-4) - 0).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7275, -29226, -65801, -117000, -182823, -263270, -358341?\nAnswer: -468036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, l: 4, e: 2, n: 1, q: 4, i: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-1)\/((-2)\/264) - (54 + -58) and 85?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3565423607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 5, 1, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48 and 12752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t**3 - 62*t**3 - 2*t**3)*(-2*t**2 + 0 + 0)*(-8 - 2 + 1).\nAnswer: -1062*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -45, -69, -113, -183, -285, -425, -609?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 10:01 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 266 = 17*m - 10*m. Suppose 0 = -10*o + 2 + m. Solve 0 = -3*h + 7*h + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5026, 20028, 45024, 80008, 124974, 179916, 244828, 319704?\n\"Answer: -u**3 + 5003*u**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 152315, 147642, 139853, 128948, 114927, 97790?\n\"Answer: -1558*f**2 + f + 153872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s = -8 + 56. Suppose 10*r - 4*r - s = 0. Is r*((-8)\/12 - 1)*-3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13*(-1)\/(-4))\/(331\/(91356\/552)).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 768502.\nAnswer: 2, 7, 17, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (2 + (1 - 1 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645 greater than or equal to 9107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 - 1) + 37*1. Let m be (58\/4)\/(29\/58). Suppose -m = -2*o + g. Calculate the remainder when 101 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3652 = -398*x + 17*x + 985 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4134 (base 6) in base 8?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 823\/5 - 6\/(-15). Suppose 4*v - h = -21. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-37)\/(-4) - 1\/4. Solve 0 = -2*c + 2*n + 1 + o, 4*c - 15 = -n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19336, 19341, 19346, 19351?\nAnswer: 19356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(4 - 3)*(-1)\/4)\/((-10)\/350).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 790660144.\nAnswer: 2, 23, 2148533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -35*b. Let t(w) = 3*w**2. Calculate p(t(m)).\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + (sqrt(637) + sqrt(637)*1*-6 - (4 + 1*sqrt(637)))**2 + 2 + -4).\nAnswer: -22948 - 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 418718*m - 551235 wrt m?\nAnswer: 418718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -153*0.4\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*l + 3*l. Suppose 0 = 3*m + l - 1. Is (2\/(-4))\/(m\/476) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -83*t**2 - t + 7. Suppose -10*b + 12*b = 44. Let m(f) = 330*f**2 + 4*f - 27. Let g(c) = b*u(c) + 6*m(c). Find the second derivative of g(y) wrt y.\nAnswer: 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - u**2 + u. Let h be f(0). Suppose -4*k + 4 + 56 = h. What is the tens digit of ((-426)\/k)\/((-2)\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -134, -1\/2, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2 - 121869*m - 5842800.\nAnswer: -3*(m + 48)*(m + 40575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 256945697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g. Suppose 34 = -3*v - 122. Let x = v - -58. Calculate k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from uatyuvavau.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5682822?\nAnswer: 2, 3, 947137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 9 + 84 = 0. Suppose -23*f + a = -18*f. Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 671 - 671.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -96*l**3 - 10*l**2 + 3 + 8*l**2 + 3*l - 5*l**2 + 15*l**2 to the form d*l**3 + k + f*l**2 + g*l and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (46\/2)\/((-1)\/((-13)\/(-13)*-1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - 7*y + 11. Let j be l(6). Suppose 7*z = j + 30. Suppose -43 = -3*g + b, 2*g = -g - z*b + 73. Calculate the remainder when 30 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 9:45 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 223*u - 3651. Give q(15).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.460412 + -784.518012. Let c = l + 784.21760014. Let t = -0.16 + c. Round t to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of 0 + 0*i + 0*i**4 + 1\/80*i**5 - 1\/8*i**3 - 4*i**2. Factor u(p).\nAnswer: 3*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -r, -4*m + 7 = -m + 4*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*1*20\/24. Suppose 13 = -4*g + 41. Suppose u - x = -1, -2*u - x + g = -u. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 21 + 166. Let f be (4 + 0)*q\/(-4). Let n = 11 + f. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 4*2\/56 - (-1992)\/168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 855 - 209. What are the prime factors of p?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 651911130 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/83 in 0.5, -1\/4, 6\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1200)*4 - sqrt(1200) - (sqrt(144)*1)\/sqrt(12))\/(sqrt(12)\/((sqrt(3) - sqrt(243)) + sqrt(3)) - 4*sqrt(100)))**2.\nAnswer: 41209\/6627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/20*(-4)\/(-3))\/((-15)\/(-3045)*58)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (2 - -3)) + 4 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*b - 273 + 828 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31100\/(-139950)*2\/((-8)\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 1 + 7 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -80929, 72, -8 in increasing order.\nAnswer: -80929, -8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1 and -0.3956.\nAnswer: -1.3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, e: 2, n: 4, r: 2, z: 2}. Give prob of sequence zt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -b**8\/1120 - b**7\/140 - b**6\/48 - b**5\/40 + 7*b**3\/3 - 3*b. Let r(t) be the second derivative of a(t). Factor r(z).\nAnswer: -3*z*(z + 1)**2*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 16) to base 14\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 12 = -t + 3*t, 2*o + 3*t = -3. Let -16*i**3 - 3*i + 14*i**o + 5*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 609 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16\/79 + 364\/237. What is the second biggest value in 0.3, z, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z. Let w(b) = -b - 235646. Determine o(w(i)).\nAnswer: -4*i - 942584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 13. Suppose n*a + a - 180 = 0. Let p = a + -18. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i + 29. Let z(s) = -44*s - 1. Determine z(n(t)).\nAnswer: -44*t - 1277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1205397 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/(-12) - 1)\/2. Let a be -5 - -2 - 213\/(-69). What is the closest to i in 3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7713, -3, -87, -1, 4, -4 in increasing order.\nAnswer: -87, -4, -3, -1, 4, 7713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8 + (-3 - -12))\/((-2)\/(-3616))?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o - 116 = -4536. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1630*j**2*s*z**2 - 55*j**2*s*z - 2*j*s - 6*j*z**2 - 3*j*z + 11*s wrt j?\nAnswer: 3260*s*z**2 - 110*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -138 - -163.6. Let k = g + -21.6. Which is the nearest to -2\/5?  (a) k  (b) 0  (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152867538 divided by -18?\nAnswer: -8492641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16300 and 26080.\nAnswer: 130400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 1017131.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 minus -2589925713?\nAnswer: 2589925777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 38895.895826 plus -0.4?\nAnswer: 38895.495826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9.067 + -1.067. Which is the closest to -0.1?  (a) g  (b) 4  (c) 0.6  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 78 + -75. What is the nearest to q in -5, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.37453203 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 20*a + 3. Let v(d) = 2*d**2 - 4*d. Let s(t) = -3*t**2 + 10*t. Let u(n) = -2*s(n) - 5*v(n). Give q(u(g)).\nAnswer: -80*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 10, m: 4, k: 2}. What is prob of picking 3 m?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(24)\/sqrt(72) + (sqrt(24)\/sqrt(2))**2).\nAnswer: -36 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1349 - -2299. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.8100064 + 0.81. What is p rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74, -307, -696, -1241, -1942, -2799, -3812?\nAnswer: -4981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -5*n**3 - 17*n**2 + 3. Let h(j) = -9*j**2 - 9*j**2 + 13*j**2 - 9*j**3 - 4*j**2 - 25*j**2 + 5. Determine -3*h(q) + 5*v(q).\nAnswer: 2*q**3 + 17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 157660 and 77324347.\nAnswer: 1546486940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -276414\/25 or -11056?\nAnswer: -276414\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -6*i**2 + 194*i - 33. Determine a(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1156*o + 3535 - 1223 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 111467136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94759 is divided by 7896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w. Let h(j) be the first derivative of 848*j**3\/3 + 4. What is n(h(o))?\nAnswer: -1696*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -7*r**4 - 23*r**2 + 0 + 0*r - 217\/6*r**3. Find the first derivative of l(w) wrt w.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wjsskvjrkjjjkrwkk. Give prob of sequence svw.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2804.1 + 2650.73. Round v to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 160, 2, -1.\nAnswer: -5, -1, 2, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*d - d - 10 = 0, 2*d + 18 = 4*t. Solve 0 = 2*k - t*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-6) - (-25)\/(-15). What is the common denominator of (-1580)\/(-448) - i\/7 and (0 - 39\/3)\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 60403, 16, 114 in decreasing order.\nAnswer: 60403, 114, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -14*a + 7. Let r be b(7). Let t = r + 177. Suppose 5*l = -3*d + t, 2*l + l = -3*d + 48. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4630768?\nAnswer: 2, 289423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(72))**2 - (-2 + -4*(sqrt(2)*-1)**2*3).\nAnswer: -339 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-1 - 3) - 8. Let b = -1 - s. Suppose -u + b*u = 135. What is the highest common divisor of 243 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20) + (1*sqrt(240))\/sqrt(12) + -5.\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -515 + 4*d + 3*d - 14*d + 10*d.\nAnswer: 3*d - 515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -22 + 27463633?\nAnswer: 27463611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -219.4 * 0.0462\nAnswer: -10.13628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -4*p + 35, 1433429*p = 2*j + 1433431*p - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of -f**7\/1680 - f**6\/720 - f**5\/30 - f**2. Let g(x) be the third derivative of a(x). Find the first derivative of g(y) wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-28)\/(-20) + (-6)\/(-10). Suppose 0 = 2*j - k + 3*k - 16, -5*j + n*k + 26 = 0. Suppose 7*p - 313 = 65. Calculate the highest common factor of p and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2387248609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -11. Suppose 0 = -c - z - 4, 0 = 4*z - z - r. Let u be 13\/(-117)*(-4 - 37\/(-10)). What is the closest to u in c, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-525)\/(-196))\/((-2)\/(-4)). Let y = l - 859\/161. Let w = y - 95\/138. Which is the nearest to 0?  (a) 4  (b) 2\/5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 7*r + 2. Let u be s(-7). Solve -u = 3*a + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1807205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 - 0.6. What is the smallest value in -2, 2\/9, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 932 + 4581. Suppose m = 9*v - 6754. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 times -0.393?\nAnswer: -23.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52 or 8?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1919605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 54*m - 55*m. Let u(j) = 9*j**3 - 2*j**2 + 4*j - 3. Let f be u(2). Let k = -49 + f. Solve 0 = 5*a - 5*r + k, 5*a = 4*r - 6 - m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 2908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7143 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 8*k - 4*k. Let y be 38\/3 + (-8)\/12. Suppose 0 = -0*q + 4*q - y. What is the remainder when q is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*n - 0. Let k be (2\/(-8)*-8)\/(1*n). Is k smaller than 3\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 104, -1348, 3, -3, 4.\nAnswer: -1348, -3, 3, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35?  (a) 0.5  (b) 5  (c) -1  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -81*g + 332 wrt g?\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10232.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6789790 is divided by 205738?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -1010011111110100?\nAnswer: -1010011111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 189 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 954248186 divided by -11637173?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmnmmmbmmmmmmms. Give prob of picking 1 s and 2 m.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 - -46. Suppose s + 12 = 4*k - 29, -w*k = 2*s - 61. Suppose -5*p + k*p = 30. Solve -4*l + 3 = -p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -31, -48, -65, -88, -123, -176?\n\"Answer: -o**3 + 6*o**2 - 28*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -5*k - 10. Let a be c(-11). What is the greatest common divisor of 45 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17*m*r*y**3 - 2*m*r*y**2 - m*r*y + m*y**3 + 3*m*y**2*z - 6*r*y**3*z + 3*r*y*z wrt z.\nAnswer: 3*m*y**2 - 6*r*y**3 + 3*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -h + 7. Suppose -6 = h*w - 0*w + 3*u, 4 = 4*w - 2*u. Suppose w*t - 72 = -4*t. Solve 2*y - 4*y - 4*n + t = 0, n = 3*y + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -5*c**2 + 67*c - 110. What is g(3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 + -11. Which is the second smallest value?  (a) 5\/4  (b) g  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - x - 29. Let s be h(0). Let w = 13 + s. Let j be -2*(34\/w + 2). Is j at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -1300.\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 208 divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004214595 to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1289, 2692, 4223, 5876, 7645?\n\"Answer: -v**3 + 70*v**2 + 1200*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 - 10*u - 11. Let i be p(-8). Let z be (2\/i)\/((-2)\/(-10)). Is 10\/(-4)*(z + -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, b: 1, t: 5, l: 2, d: 6, c: 1}. Give prob of sequence gdb.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + -4. What is the remainder when 12 is divided by (0 + -1)\/((-1)\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-10)*(-684)\/2565.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -296 or 1?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -204 divided by -34\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0 + 2 - 44*t**3.\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*v + 491 = 0, 994 = -7*d + 3*d - 2*v. Let u = d + 251. Let o(x) = 23*x**2 - x. Give o(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 5*l + 80 = 0, 0*d = -d + l + 24. Solve 0 = -u - 4*u + d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 471 - 460. Is 61\/5 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 909289 to the power of 1\/2, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 8*g**2 - 11*g - 10. Let t(u) = 2*u**3 + 15*u**2 + 23*u + 21. Let l(m) = -5*p(m) - 2*t(m). What is the units digit of l(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (105055 - 1)\/((-8)\/(-4)) + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 1534 + 7*k**3 - 1534 + 5*k**2 + 0*k**3. Let q(v) = v**3 + 10*v**2 + 2*v**3 - 12*v**2 + 5*v**2. Give 9*q(p) - 4*z(p).\nAnswer: -p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eauauaueaa. What is prob of picking 2 e and 2 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 7*d - 11*d + 2600, -655 = -h + 4*d. What are the prime factors of h?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 541 = -7*o - 611 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/36*9\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(1 + -2) + 48. Let y = m - 35. Factor -y*c**4 - 3*c**4 + 6*c**2 - c**4 - c**4 - 15*c**3.\nAnswer: -3*c**2*(c + 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62 + -50. Suppose -o*q + 10*q + 6034 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55385213.\nAnswer: 13, 4260401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -11856487, -23712905, -35569333, -47425777, -59282243, -71138737?\n\"Answer: -r**3 + r**2 - 11856414*r - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43.7 - 48. Let g = w + 4. Which is the biggest value?  (a) 5  (b) -0.18  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5181, 5192, 5203, 5214?\nAnswer: 5225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6774 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c899 + -436?\nAnswer: 1c463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7908940519 to the power of 1\/3, to the nearest integer?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1740 greater than or equal to 1739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -73, 12, -13.\nAnswer: -73, -27, -13, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of -l**4 - 137*l. Let q(o) = -o**2. Give z(q(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 176 divide 13376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-10)*((13 - -5) + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.3 + -3.7. Let k = 4 + z. Let q = k - 0.4. What is the third biggest value in -1\/4, 3\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 5:17 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 104579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66243 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rckwttdd. Give prob of sequence trd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (180\/(-32))\/((-180)\/72)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2592 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**(-21\/5)*l*(l**(17\/5)*l)\/l*l**(-10\/9)*l)**(-48) assuming l is positive.\nAnswer: l**(-6112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c71440 - -196?\nAnswer: c71606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a + 3. Let b be k(3). Let h be 28\/(-6)*9\/b. What are the prime factors of 68\/3 + h\/(-21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 2*d = a, -5*a - 2*d = 0. Suppose 2*n - n + 9 = a. Calculate the common denominator of 24\/n*(-1)\/12 and -17\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 + -0.1. Which is the nearest to 5\/4?  (a) 2\/11  (b) d  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1552 (base 10) to base 3.\nAnswer: 2010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/3  (b) -0.5  (c) -384  (d) -3\/8  (e) -12.2  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.0492 and -40.\nAnswer: 81.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from {o: 2, q: 3, g: 6, e: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-15 - (3 + -9)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 29, 5, -5930 in descending order.\nAnswer: 29, 5, 4, 3, -5930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5*l = -18, o - 5*l - 1 = -13. Suppose -31 = -4*g - o*d, -d + 2 + 19 = 4*g. Differentiate 0*w**3 - 5*w**g + 0*w**3 + w**4 - 9 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -44*k + 7. Let c(u) = 15*u - 2. Give 7*c(h) + 2*x(h).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/9 and 65\/2796.\nAnswer: 8388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 986  (b) 1\/3  (c) 3\/19  (d) 4  (e) -0.2  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1421573 divided by -9?\nAnswer: -1421573\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x + 43 - 88 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 6*m**2 - 7*m + 4. Let c be x(4). Let i = -37 - -37. Suppose 8*q - 10*q + 16 = i. Calculate the greatest common divisor of c and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10538 + -2772. What are the prime factors of v?\nAnswer: 2, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3819\/(-76))\/(15\/80). What is the nearest to -0.1 in 0.1, t, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7312 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 times -0.16?\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 6\/25  (c) 4  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/6 + 85*t**3\/6 + 29*t**2.\nAnswer: -t**2*(t - 87)*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 7*x = -f + 900, 0 = -5*f + 4*x + 4470. Suppose k + 4*o - 1812 = -k, 2*o = k - f. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*1\/6)\/((-2975)\/(-1909950))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -1 + 5 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hah when three letters picked without replacement from {h: 6, a: 2, f: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.8 + -0.8. Let g = 0.06 - 0.36. Let z = -4.5 - -4.5. Which is the nearest to y?  (a) g  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1609 + -1607. Solve -3*s = i + 11, r*i - 4*s + 6*s + 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 12 = i. Let f(x) = i - 3 - 2*x**2. Let p(l) = -l**2 - l + 1. Let t(c) = -3*c**2 - 4*c + 4. Let n(k) = 4*p(k) - t(k). Give n(f(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) -0.03  (c) 89160  (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 0.1, 8928263?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lmll when four letters picked without replacement from mlllllmllll?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 86*r**4 + 262*r**3 - 24756*r**2 + 88288*r + 4160 = 0?\nAnswer: -20, -2\/43, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2051619.012768 less than -3?\nAnswer: 2051616.012768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c - 3*j - 2, -5 - 8 = c + 2*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 4, g: 1, b: 1, a: 1, z: 2}. Give prob of sequence gbz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**2 + 9*x - 1. Let r(d) = -3*d**2 - 17*d + 2. Let z(v) = -5*c(v) - 3*r(v). Let u be z(3). Does 2 divide u*4\/20*10\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 174\/(-116)*(-124)\/6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -12*t - 6. Let c(i) = -14*i - 5. Calculate -5*c(p) + 6*v(p).\nAnswer: -2*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9145145 (base 10) to base 4.\nAnswer: -202320230321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27 and 31?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 392351837 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 1833858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 + 6*d - 14. Determine v(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m - 2 = -10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*(-18)\/81.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 - 2 = 10*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 1, f: 12, b: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -642, -971, -1300?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (3 + -2*sqrt(52) - (-2 + sqrt(13) + -1)*-5))**2.\nAnswer: -16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/44 + (-22)\/(-44)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 181*z**2 + 127*z**2 - 1271 - 9*z - 15*z + 1263 wrt z.\nAnswer: 616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6837984150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2)*(u*u**3)\/u)\/(u**(-5\/3)*u**6*u) assuming u is positive.\nAnswer: u**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2480 - 1230 + 3*r**2 + 4*r - 1250. Let j(q) = 2*q**2. Determine k(j(y)).\nAnswer: 12*y**4 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 939 and 3443.\nAnswer: 10329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 60218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**4 - 2*d**4 + 0*d**4)*(-10*d + 2*d + 4*d) + 2*d**5 + 12*d**5 + 15*d**5.\nAnswer: 33*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/2*(-6)\/96*25\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*g*t**2 - 2142*g + 81*t**2 + 2*t wrt t?\nAnswer: -6*g*t + 162*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 4*c. Suppose a + 3*a + 16 = 0. Let q be j(a). Let o = -0.38 + -0.02. What is the closest to q in o, -0.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(-7) + 6\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 5*f = -5*q - 105, -5*f - 75 = 4*q. Let i be (-3)\/(-9)*(q\/8 - -1). Let t be (-9)\/(-3) + (-116)\/36. Put t, 0.3, i in decreasing order.\nAnswer: 0.3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 444875981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (40\/25)\/((-1)\/(-10)). Suppose 5*k - 20 = 3*a - 5*a, 2*a - f = -4*k. Let w = -237\/7 - -34. Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 25*z**2 + 131*z - 79. Determine f(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1188 and 10494.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**4\/4 - t**3\/3 - t**2\/2 - t + 12. Determine z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*s**2 + 3*s**3 - 20*s**2 + (2*s**2 + 3*s**2 - 7*s**2)*(-3*s + 3*s + 2*s) + s**3 + 3*s**3 - 6*s**3 - 22*s**2 + 22*s**2 - 26*s**3.\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3234.24 litres in millilitres?\nAnswer: 3234240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**5\/2 + 9*b**4\/2 + 29*b**3\/2 + 39*b**2\/2 + 9*b = 0. What is b?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 343678 and 29.\nAnswer: 9966662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 33 + (19 - -8 - 49)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23010 - 101032?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 1244?\nAnswer: -123d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 463 divide 423197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 1:13 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -3, 3, -2, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1\/(5\/2) - (-1404)\/65 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/7, -9, 0, -237?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18907812 is divided by 6302604.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 + (-30 + 14 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/3)\/(1\/(-81)). Let g be -24 + n - (1 - -2). Suppose -y - y + 10 = 0, 4*y = -2*l + g. Solve 5*k - 20 = 0, 4 = 3*o - k + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-12))\/(15 + -7 - -2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4814 + 4833.91. Let j = a + -20. Let d = 0.03 + j. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38.1 + 37.8. Let v = -5 - -8. Let c = v + -2. Which is greater: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2. Let t(p) = 5*p**2 - 2. Suppose 18 - 6 = 12*r. Let s(b) = -b**2 - 1. Let g(k) = r*t(k) - 2*s(k). What is g(q(l))?\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-1 - 1) - -9 - (-10 + -20 + -15)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/6, 2.1, 1, 2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 4*t - 1. Does 22 divide (t\/(-9))\/((-2)\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -114\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 6*y - 9. Let r be j(7). Let z be (9\/(-6))\/(r\/4). Let a = z + -5. Which is bigger: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57800 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 12) to base 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 359323872 divided by -4?\nAnswer: -89830968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -253177177 - 26*q**2 + 253177175 - 19*q**2.\nAnswer: -45*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 9 - (-32 - (-21 - 2))) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3\/5, 5, 62\/17?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of -s**5\/210 + 23*s**4\/21 + 188*s**3\/21 + 1887*s**2. Factor f(o).\nAnswer: -2*(o - 94)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80)\/sqrt(4) - sqrt(20))*-2)\/(sqrt(64)*1) - (sqrt(250)*-2)\/sqrt(450))**2 + -2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2136 - 2176 = -2*n + 3*d, 4*n - 64 = 2*d for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 4*x - 24. Let o be 4\/(-8) - 17\/30*x. Solve -3\/5*h**5 + 0 + 0*h**3 - 6\/5*h**2 + o*h**4 + 3\/5*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 128 and 33600.\nAnswer: 67200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 2*z - 3. Let b(k) = 33*k + 11. Let q be b(-1). Calculate the least common multiple of f(-6) and q\/(-44)*(7 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(15\/(-9)) - (-131 + -1). Suppose -o = -8*q + 25. Suppose -2*s - 10 = -q. Solve -l + 2 = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5374907 + -174907. What is r rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 AM and 7:24 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 3*d = 3*o - 18 + 3, 14 = 7*o - 3*d - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -62 + -43. Let l = 110 + v. What is the third biggest value in 10, l, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 - -190. Let d be -3 - (m\/(-44) + 1). Is d < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, -4, 1\/31, 0.08, 3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -g - 14 + 2, -4*g - 78 = 2*b. Let a = g + 19. Suppose j = -a, 4*c - 4*j = -0 + 12. Solve -3*u = 2 + c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 909 and 335219?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3802318 a multiple of 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 2 - 29*j + 1.\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*4.364.\nAnswer: -1.3092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (87 - 87 + 7*j)*(-2 - j + 2) - 2*j + 1911 - 2184 + 0*j - j**2 to the form c + m*j**2 + x*j and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/142413?\nAnswer: 2\/142413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 5) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.446 * -1367\nAnswer: 609.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s - 25. Let f be p(26). Let n(x) = 3*x**3 - x**2 - x + 2. Let v be n(f). Let q be 0\/(5 - (6 - v)) + -2. Let o(j) = 2*j**2 + 4*j + 2. Calculate o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + 0. Solve 37*r = n*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 349 - 352 - (-1 + -23) - 89.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jux when three letters picked without replacement from {g: 1, j: 4, u: 1, x: 5, r: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p - 2. Let u be n(-13). Suppose -f + 179 = -3*a - 6*f, -5*a - 3*f - 277 = 0. Let y = u - a. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19\/137 greater than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 371, 366, 363, 368, 387, 426, 491, 588?\n\"Answer: f**3 - 5*f**2 + 3*f + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -1320 and -1775654.\nAnswer: -1776974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) 2\/3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + 2*sqrt(320))\/(-3*(sqrt(4) - sqrt(4)*-1)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -1, 0, -5416?\nAnswer: -5416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b + 3. Let i(w) = 5*w + 1 - 3*w + 0*w + 1. Let z = 143018 + -143014. Determine z*p(a) - 5*i(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 8 = -2*w, 3*h + 20 = -3*h + 2*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**3 - 68*g**2 - 301*g + 33282 = 0.\nAnswer: -43, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - 5*x**2 + 5*x - 1. Let b = 55 - 51. Let s be n(b). Solve -2*c + s*c = -3*o - 14, -4*o - c = 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6693 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 5*s - 19, -2*a - 4*s - 13 = 3. Let y be 3*(2 + 3) + 0. Solve a*m + y = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (116\/(-203))\/(35\/(105105\/(-22))).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25, -99, -103, -43, 75, 245?\n\"Answer: -n**3 + 41*n**2 - 190*n + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 18 = -4*o, -3*r + 3*o - 14 = -2*o. Solve -w = -r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 13\/21 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**3 + 7642994*c**2 - 15285982*c + 7642990 = 0. Calculate c.\nAnswer: 1, 3821495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6697861 is divided by 8576.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*h = 24. Let v be (6\/(-44))\/(6\/h). Which is the nearest to -1\/4?  (a) -2\/9  (b) v  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(400) + 3*sqrt(400))*-3)\/((sqrt(24) + -2*-2*sqrt(24))\/((sqrt(96)*-1 - sqrt(96))\/sqrt(8) + sqrt(12))))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201 is divided by 46*(1 - (1 + 3\/(-2))).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1500 or 1412?\nAnswer: -1500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 2*h - 750. Let a be (1788\/1490)\/(6\/500). What is the greatest common divisor of h and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (10 + (-3 - -2) - (109 - 65 - -40))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 179784 and 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -2. Suppose -a*s + 2*l + 38 = 14, s = 4*l + 8. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -115.8 - -136. Round m to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 18 = -g - 2*i, 76 = -4*g - 4*i. Let s be g\/(-15)*(-18)\/4. Let z be (1\/(-2))\/(1\/s). Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -3*u - u. Let j(n) = -n - 4. Let z be j(0). Let k be (18\/(-12))\/(2\/z). Solve 2*s = -k*s + u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/332956 and -61\/1831258?\nAnswer: 3662516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t + 4. What is n(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 963*z**3 - 45*z**2 - 7*z + 16. Let i(t) = -481*t**3 + 27*t**2 + 4*t - 10. Give 5*i(f) + 3*w(f).\nAnswer: 484*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*t + 103*t + 24 = 0. What are the prime factors of 2 + (2 - t) + (-1 - -1387)?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 6. Let g be x(-5). Suppose g = 4*y - 7. Let r(i) = 11*i**2 - i. What are the prime factors of r(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 881*f**2 - 107*f - 2 wrt f?\nAnswer: 1762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -11, 21, 2.\nAnswer: -11, -1, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 467666 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -355603*r**4 - 2*r**2 - 166*r + 355907*r**4 - 642*r wrt r.\nAnswer: 3648*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + (sqrt(24)\/(sqrt(392) - sqrt(8)) - -2*sqrt(363))*2).\nAnswer: 6 + 266*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 take away 24822?\nAnswer: -24822.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.09 in 3, -8420, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (111\/74)\/((-6)\/1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from yxqqx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -1, -15, -3, 190?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 22 = -18. Let w be (3\/(-9))\/(q\/(-12)). What is the units digit of 4\/(-14)*14\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*j - 19*j + 21. Solve 3*c + 3 - 6 = 5*f, 3*c - j = -5*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c - c - c)*((-2 + 3 + 1)*(-2 + 2 + 2) - 3 + 1 + 0 + 0 + 5 - 6 - 153 + 56 + 68) to f + o*c and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 13\/8 of a minute?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = p - 156. Suppose p = 12*i - 3*i. What is the second derivative of -35*s**4 + i*s - 35*s**2 + 35*s**2 wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3320)\/16 + (-6)\/(-4). What is w rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 11*p - 1250. Let x be r(114). Let z(m) = 8*m**2 - m + 3. Let f(h) = 16*h**2 - 2*h + 7. What is x*f(g) - 9*z(g)?\nAnswer: -8*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1024\/3 + 4\/3*a**3 - 80\/3*a**2 + 512\/3*a.\nAnswer: 4*(a - 8)**2*(a - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 764184 and 24990.\nAnswer: 187225080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-25 - -1*1)*(9 + -126). Suppose 0 = 6*l + 3*l - v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2, -3\/4, -1, -10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**12*t\/(t\/(t\/t**(-5\/8))))**42*(t\/(t\/t**(-1))*t)**(-24)\/(t**(-3\/5)\/(t\/(t\/t**(-5)))) assuming t is positive.\nAnswer: t**(11357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.059063766 * 0.3.\nAnswer: -0.0177191298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6240 is divided by 250.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**2 + 10*t + 22. Let h be m(-3). What is the greatest common factor of h and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 0*k**2 + 101 + 2\/3*k**3 + 93*k. Find the first derivative of v(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 7*m + 24. Let s(h) = -h + 5. Let o(k) = r(k) - 5*s(k). Calculate o(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 240 = -4*r. What is the highest common divisor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20435 + 29338. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-14) + 46735\/(-35). Is 4\/(-10) - f\/25 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*k**5 - 11*k**4 - 3404*k**2 wrt k?\nAnswer: -360*k**2 - 264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 529474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xjjxxlxljvjjv. What is prob of picking 1 v, 1 l, and 2 j?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21 + 4 - -5) + -33 + 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -36 by -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*a**4 - a**3*n**3 + 52*a - 2*n**3 + 21*n + 2 wrt a?\nAnswer: 28*a**3 - 3*a**2*n**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 268 and 83024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 - -118. Suppose 0 = -3*b - 16 + r. Suppose -12*f + 16*f = b. What is the greatest common factor of f and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 + 13*q**2 - 2*q - 3. Let s be a(12). Let j(n) = 3*n**2 + 3. Let d be j(-4). Let w = s - d. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3627 + -3627. Put -5.5, 5, -2\/9, d in ascending order.\nAnswer: -5.5, -2\/9, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60816461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7560.01 and 9050759.\nAnswer: 9043198.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (82 - 40 - 170) + 110\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sis when three letters picked without replacement from siisiyriihhi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4*z**3 + 5*z**2 + z - 10. Suppose -12 = 33*g - 36*g. Let k be x(g). Let t = -86 - k. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 - 3)\/((-2)\/(-11)). Let y = p - -17. What is the lowest common multiple of y and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-65)\/30)\/((3276\/(-112))\/(-39)).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**4 + u**4 + u**5 + (3*u + 0*u - u)*(1 + 5 - 5)*(4*u**4 - 2*u**4 + 2*u**4).\nAnswer: 9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from {t: 5, n: 2, z: 8, b: 4}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5 - 35. Let z(l) = -l. What is z(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -89 - -89. Suppose 0 = -z - 2*t - 0*t + 77, -5*z + 5*t + 460 = a. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tth when three letters picked without replacement from ptptphhttptp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1177*l + 1288*l - 1361082 = 0. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, 39\/23, 0.4, 0, -105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 332987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11b66 - -19?\nAnswer: -11b4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + y - 10 = 0, 0*i + 2*i - y = 15. Suppose 1 - i = 2*b. Let m be b + 5 - (-1 + -1). Solve -2*h - 13 = -m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 157*p**2 + 3407*p + 328. Determine r(-131).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (48\/52)\/(9\/2106*-9)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of 2*o**2 + 2*o**3 + 0*o**4 + 0*o - 2\/5*o**5 - 38. Determine c so that l(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 10. Suppose 2*v + 5*h = 8 + 10, -3*h = w*v - 22. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x - 11335*x**2 + 76509*x**2 + 0*x.\nAnswer: 65174*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -109*z + 515 + 466 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*b - 31*b - 23*b - 24*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q. Let p(n) be the second derivative of n**4\/12 - n**3\/6 - 5*n. Let u(t) = -56*t**2 + 70*t. Let k(i) = 70*p(i) + u(i). What is g(k(o))?\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 19568 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 613 + -329. Let h = -152 + m. Calculate the highest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1134255*u**2 - 4*u + 23383 wrt u.\nAnswer: -2268510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 97*t**3 - t**2 + 3*t - 4. Let h be b(2). Let o = h + -517. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.14 - -0.04. Let h = -11 - -11. Put h, -0.2, f in increasing order.\nAnswer: -0.2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.09 and 19166831.\nAnswer: -1725014.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 164 + -824\/5. Let b = 14057 - 632611\/45. Let s = b - c. What is the closest to 0 in s, 3, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-7)\/(-19)*6\/21?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(3 + (-10)\/4). Let g(c) = c**3 - 5*c**2 + c + 2. What is g(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 9. Suppose 13*t = 17*t - 4. Solve -k*f - t = -13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-40)*522350\/5055?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 696\/(-812)*56\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 158 and -0.1?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 3*x**2 - x - 4. Let r = 31 + -57. Let t be ((-13)\/r)\/(1\/(-6)). Determine k(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, p: 1, s: 1, a: 2, w: 2}. Give prob of sequence wasw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**2*c**2*u - 2*a**2*c - 31*a**2*u**2 + 2*a*c*u + 372*c**2*u**2 - 3*c**2 wrt a?\nAnswer: -4*c**2*u - 4*c - 62*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/242 and 63\/44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -2. Let h be 303\/(-12)*8\/d. Suppose -5 = 4*c - h. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 2.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -120 divided by -3\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -169.5 less than 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 16*m + 65. Let s be v(-9). Suppose -247 = -5*f - 6*q + 2*q, -s*q = -4*f + 182. Calculate the highest common factor of f and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 131795388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 170\/306*(21\/(-5) + 3)*24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*x - 75 - 21 = 0, 4*d = -2*x + 108. What is the tens digit of (-2)\/(-4) - d\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qhqqqqqqbqqbhqqhqqob. What is prob of picking 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + l - 1. Let m(t) = 7*t**2 - 6*t + 6. Let k(o) = -6*b(o) - m(o). Let n(d) = 3*d**2. Determine k(n(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(8\/4*-1). Let l(v) = -v**3 + 4*v**2 - v - 5. Let n be l(x). Suppose 0 = -2*w + 21 + n. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + k + 9. Let b(w) = -w**2 + 16*w - 27. Let u be (0\/5)\/(-2) + 0 + 14. Let m be b(u). Let s be (0\/m)\/(18 - 19). Give v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24 + 4000\/(-180) + (-2 - (-2 - (-2)\/(-9))). Suppose -3*g - g - 4*j + 24 = 0, -1 = -j. Solve -s = -g*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -3*a**2 + 27*a + 30 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 - -1220?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.476025 years to centuries.\nAnswer: 0.01476025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 715, 442, 169, -104?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d + 4. Let m(i) = i**2 + 5*i + 89. Give 3*k(j) + m(j).\nAnswer: j**2 + 2*j + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.8 - -19.8. Let s = 17.11 - w. Let r = s + 3.89. Put 3, -2, r in ascending order.\nAnswer: -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**(-2\/7)))**12)**20 assuming y is positive.\nAnswer: y**(480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*w + 28 = 0. Let k be (-4)\/w + 19\/(-7). Does 9 divide 0 + k + 1 + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) 2\/3  (c) -8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 + 0.5. Let s = 0.5 - v. Let o = 4.97 - -0.03. Which is the nearest to -0.1?  (a) o  (b) -4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of h**4\/12 - h**3 + 3*h**2\/2 + 10*h. Let x be s(6). Let g be x\/((-2)\/(4\/(-3))). Put 1, -11, g in increasing order.\nAnswer: -11, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 6 = -w, 5 = z - 0*w + 2*w. Let y be (3 + 0)*z\/(-1). Let s(v) be the first derivative of v**4\/4 - 2*v**3\/3 - 4*v + 11. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 28 = 4*b, 0 = 2*c - 5*c - 2*b + 8. Let o be 6\/(-8) - (-65)\/140. What is the nearest to o in -3, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8800 + -8804. What is the nearest to -2\/79 in d, 1\/19, 2\/7, 1\/2?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 9*z - 10. Let r be l(7). Suppose 0 = 3*h - r*h + 1471. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 11*v**2 + 24*v + 35. Suppose t + 5*u + 5 = 3*u, u = 0. Let g(c) = -7*c**2 - 16*c - 23. Let h(j) = t*a(j) - 8*g(j). Determine h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 5 + 5)*(-44 + 17 + 272)*(4*u + 0*u - 6*u) to the form z*u + q and give z.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -7 * 5945\nAnswer: -41615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, -0.2, 38, -2, 11\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 0. Let f be a - -4 - 177\/(-3). Factor -f*v**2 - 3*v + 1 + 56*v**2 - 3.\nAnswer: -(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 25*u**2 + 28*u - 28. Let r(w) = w**3 - 7*w**2 + 13*w - 18. Let n be r(6). Is 6 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n + 8*n = 2*r + 14, 0 = 3*n - r - 22 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -57453 divided by -1192\nAnswer: 57453\/1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/264 and -91\/2358.\nAnswer: 103752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*l - 11*l = 0. Suppose y - a - 981 = l, -14*a - 1956 = -2*y - 18*a. Is y a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 52*v**2 - 1245*v + 58. Give i(24).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00911751 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 140 and 1332?\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.13786 kilometers in millimeters?\nAnswer: 50137860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -111, -20 in descending order.\nAnswer: -4, -20, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4072348 and 4654112?\nAnswer: 32578784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1724111181 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**2 + 1. Let h(a) = 2748*a**2. Give i(h(b)).\nAnswer: -15103008*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*a = 33*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*z**3 + 3 - 4 + 3 - 2*z)*(8*z - 3*z - z) to f + b*z**4 + p*z + m*z**2 + g*z**3 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 20 - 9a89c9?\nAnswer: -9a89a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9 - (-14 + -7)) + -6. Suppose k + 0*y - 154 = 2*y, 5*y - 590 = -4*k. What is the highest common factor of s and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 0 + 0 + 9 + (1 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*166\/415*(-5)\/68.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 127\/3 + (-2)\/(-3). Let t = -20 + k. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*k**2 + 2*k**2 - k**2 + 9*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 46. Let w be 4\/(-3)*30\/c. Factor 0*y**2 + 5 - 7*y + y**w - 2 + 3*y.\nAnswer: (y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 555565 is divided by 776.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**2 - 256814*l - 1540956 = 0.\nAnswer: -6, 128413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*u + 20*u - 60*u + 20*u + 94*u**2.\nAnswer: 94*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 593536?\nAnswer: 2, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8504 - 4fd?\nAnswer: -8a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -304*l**3 + 2*l**2 + 1. Let w(k) = 309*k**3 - 3*k**2 - 1. Give 2*w(f) + 3*y(f).\nAnswer: -294*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 2. Suppose -104 = -2*r + 2*f, 3*r = r + m*f + 101. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tata when four letters picked without replacement from {a: 12, g: 1, t: 5}?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*a**4 + 45*a**2 + 8*a**4 - 2*a**4 + 0*a**4 - a**4 - a**4 + (0 - 2*a**3 + 0)*(-2*a + 0*a - 2*a).\nAnswer: 5*a**4 + 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 10492 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -122 != -14349\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -722, -2902, -6542, -11648, -18226, -26282?\n\"Answer: -c**3 - 724*c**2 - c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00017264 to 6 decimal places.\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20142 (base 9) to base 8.\nAnswer: 31671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of c**6\/120 + 7*c**5\/60 + c**4\/4 + c**3\/3 + c**2. Let y be m(-6). Suppose -y = -o + 2. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*g + 8*g + 2831, -3*s = -2*g - 1870. Let p = g + 1417. What are the prime factors of p?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 165\/8  (b) -0.5  (c) -2\/13  (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 984, 52 in decreasing order.\nAnswer: 984, 52, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21 - -103122321321?\nAnswer: 103122322002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*n + 1511 + 942 - 356 + 654 = 0 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z - 27. Let o(j) be the first derivative of 0*j + 259 + 2\/3*j**3 + 0*j**2. Calculate o(a(m)).\nAnswer: 8*m**2 + 216*m + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 4*x**2 + 6 + (-2*x + 2 - 2)*(-3*x - x + 3*x) + 2*x**2 - x**2 - 2*x**2 + (4*x - 2 + 2)*(-2 - x + 2) to b*x**2 + f*x + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 10 - q**3 - 7*q**2 + 17*q - 24*q. Suppose -l - 4*l - 25 = 0. What is the smallest common multiple of o(l) and 130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 + 11*m + 11. Let r be q(-10). Let t be (5\/(-15))\/(r\/(-9)). Find the second derivative of -14*i**3 + i + 0*i + 10*i**t wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4 = 1. Let o be (84\/(-16))\/(k\/(-4)). Let t = -11 - o. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 2*t - 4*m - 2886, -3*m = -5*t - 14430. Let w = t - -8836\/3. Let s = w - 59. What is the closest to s in -5, 1, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 382 = 82*f - 78*f, 3*h + 238 = -2*f. Which is bigger: -60 or h?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23666625 divided by -7888875?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104688, 104659, 104630?\nAnswer: 104601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.06 - -0.34. Let u = -1082\/15 + 72. Which is the closest to 0?  (a) p  (b) -2\/11  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-188784\nAnswer: 188784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + w - 2. Let v be -2 + 0*3\/9. Let d be i(v). Suppose d*f = -5*f + 180. Calculate the highest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 6275529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, 12, -5, 2, -7, -4, 33 in increasing order.\nAnswer: -48, -7, -5, -4, 2, 12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, a: 2, t: 1, j: 6, o: 3, y: 2}. Give prob of sequence atg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -563  (c) -499  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from dddkmdccdi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 17550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6185 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v + 17742 = 18*v. Let k = v - -26558. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 7:03 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 6. Let c(p) be the first derivative of -p**2\/2 - p - 38. Let s be 3\/(-3*5) - (-21)\/5. Calculate s*c(q) - y(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 4:52 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u + 60 = 15*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 - 4*o**2 - 5*o + 1. Let y be k(-2). Suppose 2*z = -y*d + 55, 5*d + 0*d = -4*z + 95. What is the highest common factor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 7:52 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -60*f**3 + 3*f**2 + f - 1. Suppose -3*q = -2 + 8. Is y(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 5:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6286*i + 4536 = -6274*i. What is the greatest common factor of 702 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 0)*16833\/1629.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57 = 3*r - 117 + 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*o = -187 + 187 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 3:56 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + -9 + -33 + 54.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 1524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from udwucwudwdww.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -125, -245, -365, -485?\n\"Answer: -120*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**5\/4 - 48221*n**4\/2 - 2324492813*n**3\/4 + 9311380366*n**2 + 174477040491*n + 586161183132 = 0.\nAnswer: -48229, -6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-4 + -1*sqrt(1053) - -2*(1 + sqrt(1053))) + 2*(0 + sqrt(1053)*1))**2.\nAnswer: -9481 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 6:13 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/50934 and -107\/539378?\nAnswer: 21035742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/2024 and -11\/103960?\nAnswer: 1143560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 1b?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 0. Let n be -2 + (-5)\/((-25)\/z). Let m = n - -2. Is 0 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 2*q + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 + 27. Let z(f) = -f**3 - 2*f - 18 - 2*f + w + 7*f**2. What is z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 238964449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 202*z = 208*z - 61980. Let y(t) = 2*t**2 + 10330 - z. Let c(w) = 7*w**2 + 5. Calculate y(c(n)).\nAnswer: 98*n**4 + 140*n**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2001810523 + -2001810533.99999989. Let i = p + 11. What is i rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -7. Suppose -18 = -n*f + 2*f + r, 2*r = 0. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3262.93355 and 31.\nAnswer: 3293.93355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 2. Let a(y) = -10 - 12*y**2 - 11*y**2 - 2 + 34*y**2. Let v(t) = -a(t) - 6*i(t). Let w(j) = -j. Calculate v(w(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(2\/77 + 167808\/(-9856)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 148 + -201. Let t = -39 - x. Calculate the lowest common multiple of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 6:32 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.050910121*2.\nAnswer: -0.101820242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-1\/2)\/q)\/q*q*q**(1\/2)*q*(q**7*q)\/q*q*q\/q**(-6) assuming q is positive.\nAnswer: q**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06856*0.178.\nAnswer: 0.01220368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-45248)\/(-16968))\/((-1)\/1*2\/12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.3011351t?\nAnswer: 301.1351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 4*v - 2*v)*(-2 + 2 + v**4) + 3*v**2 - 3*v**5 - 3*v**2.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/30*1)\/(83\/(107485\/74))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*x - 5, 0 = -2*o + 2*x + 188. Let w be ((-450)\/(-2))\/(-7 - -8). What is the greatest common divisor of w and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 3*r. Suppose -3*a + v = r, -3*a + 5*v - v - 9 = 0. Factor -a + 1 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4219463 divided by 14\nAnswer: -4219463\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {u: 9, d: 11}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from brtbd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5 + 11)\/162)\/(1\/6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3988, -3982, -3962, -3922, -3856, -3758, -3622?\nAnswer: -3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-28))\/((-4)\/7)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 0 + 0*k**2 + 0*k**3 - 1\/126*k**7 + 1\/45*k**6 + 0*k**4 + 16*k + 1\/20*k**5. Factor d(l).\nAnswer: -l**3*(l - 3)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.085 + 0.075. Let r = -14594\/5 + 2918. Which is the closest to z?  (a) 5  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8325*g**2 - 8331*g**2 + 242*g**3 + 16653*g**2 - 716*g**3 in the form r*g + m*g**2 + p*g**3 + y and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17556*u**4 - 23074*u**2 wrt u.\nAnswer: -421344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/21*(-1)\/2. Let d = 0.71 - -0.29. Suppose 5*z + 2*p - 5 = -0*z, 0 = -z - 4*p + 19. Sort d, l, z.\nAnswer: z, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 62\/8 + (-1)\/(-4). Suppose -3*l = 4*l - 14. Let k be (-2)\/(-4) + 15\/l. What is the greatest common divisor of f and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 2*a**3 - 12*a**2 + 11*a + 8. Let y be z(2). Let s(b) = -3*b - 3. Let q = -1 - 4. Let g(o) = 7*o + 6. Give q*s(h) + y*g(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**6*(s*s**(-5))\/s)**(5\/7)*s*(s**4\/s)\/s*s**6*s*((((s*s*((s**1*s)\/s)\/s)\/s)\/s)\/s)\/s*s**(-1\/9) assuming s is positive.\nAnswer: s**(542\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 36*p - 3. Calculate d(-6).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 63 and 12527883.\nAnswer: 87695181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 - 36028*j**2 + 159811288*j + 22066443568.\nAnswer: 2*(j - 9074)**2*(j + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Factor -4*n**2 + 25078456*n - 39308059708996.\nAnswer: -4*(n - 3134807)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 15 = 5*q, -1143*q + 1138*q = -2*o - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.7?  (a) -3  (b) 2593  (c) -403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of 5*q**3\/6 + q**2 + 78*q + 1. Let w(y) = y + 1. Suppose 2*n + n - 3*k + 6 = 0, 3*k = 4*n + 7. Give n*v(z) + 3*w(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 0*z + z)*(-4368 - 481*z + 4368)*(2 + 2 - 9).\nAnswer: -2405*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 1\/3  (b) -0.1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**2 - 7*j - 11. Give a(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/3*-1*28\/364. Which is the smallest value?  (a) -4\/5  (b) m  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 16, -1, 4\/9, 1\/8, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = 21 - 9. Let k be (3\/d)\/((-3)\/(-16)). What are the prime factors of -3 - (-15)\/4 - 762\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86383036 = -3*k + 7*k. Let p = -8229875 - k. Let x = p - -1834116. What is x rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3267*y**2 + 7279.\nAnswer: -6534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 709, 1393, 2043, 2653, 3217?\nAnswer: 3729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -5, -0.03, 79, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**4\/4 + r**3 - 3*r**2 - r + 9. Let i be m(-5). Let h = 44 + i. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 (base 7) in base 2?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6237905*w**3 + 753177*w**2 wrt w.\nAnswer: 37427430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 969 and 342?\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3 - 18*k + 33*k - 7*k - 7*k. Let w(x) = 2*x - 6. Give 5*f(t) - 2*w(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**3\/2 - 5778*j**2 + 161931*j\/2 - 283465 = 0. Calculate j.\nAnswer: -11570, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -103597.1019 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13.2 or 245092?\nAnswer: 245092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 283*v + 34 = 279*v - 3*x, 3*x + 27 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15141 - 323?\nAnswer: -15504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.35096095 plus 0.1?\nAnswer: -85.25096095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 70*p + 1470. Let o be s(-17). Suppose i - 2*i - l + 33 = 0, 5*i - 2*l - 130 = 0. Calculate the highest common factor of o and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.8 + 8. Let y = 4.8 + s. Let p = 1.5 - 2. What is the smallest value in -3, p, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (8 - 12) + (-4 - (2 - -20))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 14) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36163 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {u: 4, k: 1, g: 4, a: 2, c: 2, i: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13331874?\nAnswer: 2, 3, 97, 22907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5226893 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -11 from 19185007.\nAnswer: 19185018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*t - 2 = 124, 4*a - 142 = 3*t. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35742 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -37086, -37088, -37090?\n\"Answer: -2*j - 37084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 0*i**3 + 6\/5*i**5 + 118 + 126*i + 0*i**4 - 3\/2*i**2. What is the first derivative of n(t) wrt t?\nAnswer: 24*t**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 1069*z - 1066*z + 25 = 0, -5*f - 5*z = 25. Suppose 0 = i - 7 + 3. Solve 0 = -f*m - i + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 13561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -3, 3 in ascending order.\nAnswer: -3, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 118 + -109 + -1 + -4 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*v = 7*v + 12546. List the prime factors of v.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60797554 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 7*b**2 + 437*b - 14958. Give l(-87).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q + 1. Suppose 0 = 3*r - 8*r - 5. Let m be j(r). Let w = m - -5. What is the greatest common factor of 33 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 5*d. Let u be h(-1). Let k(i) be the second derivative of 31*i - 3 - 3\/2*i**2 - 1\/3*i**3. Give k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/20 - (-207)\/45. What is the second derivative of 45*w**r - 5664*w**2 - 76*w + 5664*w**2 wrt w?\nAnswer: 900*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ykfxgku. Give prob of sequence gk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8506?\nAnswer: 2, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 699752545 to the nearest integer?\nAnswer: 26453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(270)\/sqrt(600))\/(sqrt(6480)\/sqrt(5)).\nAnswer: sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 10*t**3 + 2*t**2 - 1. Suppose 4*k = k. Suppose v - 1 + 0 = k. What is the least common multiple of v and z(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-16)\/(-120))\/(2\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * -0.05.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -187 - 95. Let l = -282.5 - r. Let v = -647\/7 + 92. Which is the closest to -0.1?  (a) l  (b) -1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 6*k + 5. Give l(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-9))\/(4\/(-24)). Let p be (-2)\/(-3) + (-40)\/(-3). Solve 2*i - 10 = -5*h, 5*h = i + p - m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 5*x - 2132 = -n, -2*x = -3*n + 6392. Suppose -3*o = 4*f - 3, 2*f - 3*o + o + 2 = 0. Suppose f = 3*i + 91 - n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 + 15402*a**2 + 31711950*a + 19701123750.\nAnswer: 2*(a + 1425)**2*(a + 4851)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 10:48 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + (-2)\/(-1) - -79. Suppose -4*u - 3*p = 6 - v, -5*p = 2*u - 52. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -15*u - 7. Let y be f(-9). Suppose y = -c + 5*c. Solve -4*r + c = -4*t, -24 = -5*r + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2502 is divided by 812?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/17)*i*i**(2\/27)\/i)\/(i\/(i**10\/i*i)*(i*i**(1\/6))\/i))**18 assuming i is positive.\nAnswer: i**(8285\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -157, -235, -231, -145?\n\"Answer: 41*v**2 - 201*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-6*1*sqrt(432) - (3 + sqrt(432) + 2*sqrt(432) + sqrt(432))))**2 + -3.\nAnswer: 960*sqrt(3) + 43213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 13. Let c = o + 21. What is the units digit of (4\/5)\/(1\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 4:15 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-1)*4\/(-3). Suppose r = -0*y + y. Suppose -2*f - y = -6*f. Solve 5*m + f = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**3 - 2*r**3 + 0*r**2 + r**2 + r - 2 + 11*r**3 + 2 + (-2*r + 2*r - 26*r**2)*(6*r - 3*r - 4*r).\nAnswer: 38*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 111144 (base 5) in base 12?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -14900940*f**2 + 39*f = 0. What is f?\nAnswer: 0, 13\/4966980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011 - -1001?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and 404.7.\nAnswer: 409.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -39632, -158517, -356658, -634055, -990708, -1426617, -1941782?\n\"Answer: -39628*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -1 - (15 + 0). Let v = -14 - t. Calculate the greatest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5*x + 15835 = 0, 305*w = 310*w - 5*x - 19795. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 8:39 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5984  (b) 0.3  (c) 6  (d) -0.3  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24890 + 32398. List the prime factors of g.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64 + -61. Let i(q) be the first derivative of 0*q**4 - h + 0*q**2 + 2\/7*q**7 + 0*q + 0*q**6 + 0*q**5 + q**3. What is the third derivative of i(t) wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 358856 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1\/(g\/(g\/(g*g*g**0*g)*g))*(g\/(g*g**(2\/9)*g*g))\/g*g*(g**(-1)*g)\/g*g)\/(g\/(g\/g**2)*g\/(g*g*g**(-1)*g))**36 assuming g is positive.\nAnswer: g**(-353\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**2 - 3*n**2 + n**2 + (8 - 1 - 3)*(-1 + 1 - n**2) + 0*n**2 + n**2 - 3*n**2)*(-13*n + 43*n - 15*n).\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14084 - 14073. Solve -4*x = 2*d - 6, 5*x - 2*d - k = 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-13))\/(93\/62)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*n + 5. Let t(h) = -h**2 + 6*h - 6. Let j be t(4). Suppose -2*l - 2 = 0, j = -3*m - 5*l - 3. Solve -n*b + 10 = 5*r, b - 2*r + m = -10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 31068482 and 5?\nAnswer: 155342410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 7, c: 3}. What is prob of picking 2 c and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 157568.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {u: 1, f: 2, y: 1, p: 1, e: 2, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, t: 2, y: 1}. Give prob of sequence ut.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 - o - 4*o**2 - 31*o.\nAnswer: -2*o**2 - 32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4665*i - 50 = 4670*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3320 times -0.3?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -15140731\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.305323ml?\nAnswer: 0.006305323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 9 = -3*i. Suppose i*f - 31 = -y, 43 = 3*f - y + 6*y. Let g(m) = m + 7. What is the smallest common multiple of g(-3) and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4595, -4585, -4575, -4565, -4555, -4545?\nAnswer: -4535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((2\/(-5))\/((-10)\/25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 374 and 1876732.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -1.08  (b) 60  (c) -2\/3  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 5*k**2 + 4*k + 2. Let c be m(-4). Let v be c\/2 + 60\/24. Is v at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {v: 1, l: 2, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, 0.76, -1\/7, -135, -1 in descending order.\nAnswer: 0.76, 4\/7, -1\/7, -1, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.113153 to three decimal places.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1080\/14 - (-1)\/(-7). Suppose 3 = -4*q - p. Let l = q - -42. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 6*p**3 - 2)*(-1 + 4 + 3) + 2*p**3 - p**3 - 3*p**3 as j*p + t + b*p**2 + u*p**3 and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1106*b**2*m**3 + 3*b**2*m**2 + b**2*m + b*m + b + m**4 - 1417*m wrt m.\nAnswer: 6636*b**2*m + 6*b**2 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 363 + -207. Suppose -41*r = -30*r - 66. Suppose i + r = b. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 + 11*j - 13. Let n be u(10). Suppose -5*l = -0*l + 10. Let v be l + (-3)\/(-3) + 0. Sort n, 1, v.\nAnswer: n, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2128*b + 712872. Give v(335).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1245534 divided by -5.\nAnswer: 1245534\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of -o**6\/30 - 873*o**5\/20 + o**4\/12 - 3313*o**2\/2 - 36*o + 46. Differentiate q(x) wrt x.\nAnswer: -4*x**3 - 2619*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1200212022112 (base 3) in base 14?\nAnswer: 196dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/20)\/(120744\/(-18720)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -148.7899 to the nearest integer.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -3011?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20 or -653421?\nAnswer: -653421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -568.354995101787 + 92541411.354999701787. Let j = b + -92540796. Let w = j - 47. Round w to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, l: 4, c: 1}. What is prob of sequence sslc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 314 = 4*c - 4*l, -2*l = 8. Let i = -35 - c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2136\/2964 - (-8)\/(-76). Factor -24\/13*n**2 + a*n - 14\/13*n**3 + 0.\nAnswer: -2*n*(n + 2)*(7*n - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 803*w**4 + 9*w**2 + 2*w + 5 wrt w.\nAnswer: 19272*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84116675, -84116676, -84116677, -84116678, -84116679, -84116680?\nAnswer: -84116681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)*-2 - (((sqrt(5) - (2 + sqrt(5))) + sqrt(5))**2 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -213, -420, -623, -822, -1017?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 370 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 450 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + -1 + -1 + 5. Suppose 0 = h*b + b - 76. Suppose -b = -z + 12. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1399 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 449620.1 grams to nanograms.\nAnswer: 449620100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 968 + 952 + 975 + 8*v - 2895 + 7*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 5)*(-3 + 3 + 1)*(3*l - l - 4*l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*x = -2, 2*j - 41 = -0*j - 5*x. Suppose 6 - 4 = -v, 2*v = -3*c + j. Suppose 5 - c = i. Calculate the smallest common multiple of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(72))\/sqrt(6)*-2 + 0 + (3*(sqrt(192) + -3))**2.\nAnswer: -436*sqrt(3) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -796 = -72*n - 292. Solve -n*m + 3*t = -3*m + 11, m - 2*t + 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6 - 0*(-5)\/70. Let s(w) = 6*w**3. Let i(a) = -a**3. Determine b*s(f) - 42*i(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31189 is divided by 248.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12012 and 4312?\nAnswer: 168168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8862231 and 794.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*a**2*d*j**3 + 4*a**2*d + 2*a**2*j - 851*a*d*j + 2*d*j**2 - 104*j**3 + 2*j wrt j?\nAnswer: 30*a**2*d*j + 4*d - 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1343 + 2773. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o - 3*o = 0. Suppose -z - 5*z + 18 = o. Let q(b) = -b**3 - 4*b**2 + 4*b - 4. Let g(w) = w**3 + 3*w**2 - 3*w + 3. Determine z*q(c) + 4*g(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q = 4*q + 41868. Let h = q + 3984. What are the prime factors of h?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 703169 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (171\/(-18))\/(1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 10:54 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 45961*d + 5. Determine u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27468079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 121 and 363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 + 71 - (0 + -6 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 9*n - 53. Determine v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 5*t**2 + 175*t + 170 = 0.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7262901, -7262923, -7262959, -7263009, -7263073, -7263151?\nAnswer: -7263243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -402364*d**3*j*v - d**3*j - 2*d**3*v - 55*d**2*v + 97*j + v wrt d?\nAnswer: -2414184*j*v - 6*j - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -7*n**2. Let q(o) = -90*o**2. Let y(f) = -27*c(f) + 2*q(f). Let x(k) = -95*k + 32*k + 30*k + 37*k. Determine x(y(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-10) - (-3208)\/40. Suppose y + 2*g + 0 = -2, 2*y - g = 11. Suppose y*l - 52 = l + 5*v, 3*l + 2*v = u. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 54 - 2. Find the common denominator of 21*(t\/(-88) + (-1)\/(-2)) and 2\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*f - 58 + 58)*(5*f**2 - 5*f**2 - 2*f**2) in the form p*f**3 + h + l*f**2 + d*f and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 7*s - 10. Let r be a(-8). Suppose -23 = q - 4*l, 2*q + 3*l = l + 4. Put r, 5, q in decreasing order.\nAnswer: 5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 450230 - 184594541\/410. Let g = 1\/82 - r. Let m = 279 + -1950\/7. Is m less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (150\/200)\/(9*(-8)\/(-3264))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 13) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1025425 (base 6) to base 5.\nAnswer: -3103424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 76*t**2 - 436*t**2 - 31*t**2 + 3 + 5*t.\nAnswer: -391*t**2 + 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(4\/21)\/r*r*r)\/r**2*r**(-1)\/r*r**12 assuming r is positive.\nAnswer: r**(193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 7 = 4*o - 15, w = -5*o + 17. Let q be ((-63)\/(-27))\/(6\/18). What is the highest common factor of q and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -5 + 7 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -4  (c) -2.392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 5*u**2 - 10*u. Let d(c) = c - 3. Let q(r) = 6*r - 15. Let b(a) = -5*d(a) + q(a). What is g(b(h))?\nAnswer: 5*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45907 is divided by 6478.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5c4 (base 14) to base 10\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 3\/35010745 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 5:57 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/33 and 10\/72*(-406)\/(-29).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11597485163846 from 47.\nAnswer: -11597485163799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5 + -2*(sqrt(396) + 0)*6 + -5) + -4)**2.\nAnswer: 14688*sqrt(11) + 514372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -13*j + 454. Calculate b(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from tttttttqttttt.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 3*g - 5*g - 16 = 0, 3*k - 10 = 2*g. What is the tens digit of 781\/33 + 2\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 3:00 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j\/j**20))**35*((j*j**(5\/7))\/j)\/j**(-44) assuming j is positive.\nAnswer: j**(5458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*i**5\/7 + 916*i**4\/7 + 150828*i**3\/7 + 1974464*i**2\/7 + 2530462*i\/7 + 705900\/7 = 0. Calculate i.\nAnswer: -75, -13, -1, -2\/5, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of -b**7\/280 - b**5\/40 + b**3\/2 + 2*b. Let j(d) be the second derivative of i(d). Find the second derivative of j(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23822571 and 12.\nAnswer: 95290284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of -t**4\/12 - t**3\/3 - 6*t**2. Let r(a) = -2*a - 2. What is 3*c(k) - 4*r(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - g - 55 = 0. Let c = 13 - g. Suppose 2 = -z + c*z. Solve -5*h + 4*u = 1, 4*h = 5*u - 3*u - z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 17728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 6*k**2 + k. Let d be g(-2). Suppose 5*n = 2*n + 4*a + 384, -141 = -n - 3*a. What is the greatest common factor of n and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*t - 15 + 49 - t**2 - 15*t.\nAnswer: -t**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 8 = -4. Suppose 3 = v*x, -6 = -5*q - x + 5*x. Let y = -0.2 + 0.5. Which is the nearest to q?  (a) y  (b) 4\/7  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 7*t - 4*w = 11, 13 = 3*t + 4*w. Suppose 5*j = 4*v + 2, -4*j + v + t = -3. What is the tens digit of 51\/5 + j\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-3)*(608\/665 - 2\/(-7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -119, -112, -105, -98, -91, -84?\n\"Answer: 7*o - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k + 7. Suppose -3*q = -9, 0 = 2*b - q - 14 - 19. Let u = b - 26. Does 13 divide c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382*i + 378*i - c + 25 = 0, 0 = -3*c + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 851 - 7669\/9. Let q = 4529\/4 + -1111. Find the common denominator of q and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 42864993 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 n when four letters picked without replacement from neeenee.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 1. Let w(i) = 10*i**3 + 3*i**2 - 4*i + 7. Let m = -10 - -15. Let r(y) = m*o(y) + w(y). Calculate the remainder when r(2) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/(-10))\/(-2))\/4.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f3a7 + -5?\nAnswer: f3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -29) + -37 + (-10 - -29).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**3 - l**3 - 2*l**4)*(6 - 2 + 6).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126 and 38220.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 516 + -516. Let r be -3 + (-3 - -1) - -3. Sort r, -4, l, 5 in descending order.\nAnswer: 5, l, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -1\/3, -0.14, 3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 247019911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b + 5 + 55*b**3 - 28*b**2 - 91*b**2 - 5.\nAnswer: 55*b**3 - 119*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 89 - 64. Suppose 0 = n - 86 + o. Let h = -33 + n. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*x - 25, 4*u + 3 = -5*x + 18. Suppose -u*v + 2*n - 3*n = -68, 3*v + 3*n - 36 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + a = -63, -a + 117 = -0*r + 2*r. Let j(l) = r*l - 244*l**2 + 119*l**2 + 124*l**2. Let p(w) = 2*w. Determine j(p(f)).\nAnswer: -4*f**2 + 120*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 340889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 3:58 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 15*h = 3*w + 13, 4*w = 5*h + 41. Solve -265*d**2 + 265*d**2 + 6*d**3 + w*d**3 + 45*d**4 = 0 for d.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 divided by 50?\nAnswer: -17\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/(-1740)*-29*(-11)\/((-220)\/72)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 166, 391, 718, 1153?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -1, -1215, 11, 1, 4, -2 in descending order.\nAnswer: 11, 4, 1, -1, -2, -14, -1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 7 + 7)*(1 + 1 - 3)*(14*t - 85*t - 12*t).\nAnswer: 1162*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31.7 - 13.7. Let p = t + -18.4. Put 5, p, 3\/5, 9\/5 in decreasing order.\nAnswer: 5, 9\/5, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1968, 1969, 1970, 1971?\nAnswer: 1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - 2a79?\nAnswer: -2a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oosgogso. What is prob of sequence ooo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 345 and 2024805?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 3:41 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 351162 and 630?\nAnswer: 1755810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26714483 divided by -16.\nAnswer: 26714483\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -120c (base 15) to base 9\nAnswer: -5233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from edbbkkekdbb.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5470, -5349, -5212, -5059?\nAnswer: -4890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4975)\/11940*(-24)\/885\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + ((-42560)\/(-130))\/19?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 86*c - 143*c + 99*c + (2*c + 3 - 3)*(4 - 2 + 0) + (-5*c + 5*c + c)*(-3 + 1 + 1) to the form n + w*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29062*x**5 + 150826*x wrt x.\nAnswer: 581240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 246715, 493369, 740023, 986677?\n\"Answer: 246654*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - 7. Which is smaller: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*w + 1101 - 1085 - 25*w**2 + 8*w**2 + (-2 - 3 + 7)*(-3*w**2 + 5*w - 5*w) in the form x*w + c + j*w**2 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, -580, 5 in decreasing order.\nAnswer: 5, 4, -4, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 590 and 413.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1635*w**2 + 2902*w**2 - 1264*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -421*x**2 - 220*x**2 + 881*x**2.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221 - -1?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 4*z**2 - 4*z - 2. Let o be c(5). Let d(p) = -3 + 0 - 2*p - p**2 - 6*p. Let a be d(-5). What is the highest common divisor of o and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2048339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2792999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -27*a - 18. Let l(i) = 3*i**2 - 34*i - 25. What is the smallest common multiple of m(-2) and l(13)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.932 or -2\/3?\nAnswer: 0.932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 10 - 6 - 54*v**2.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 11:08 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 7*o**2 + 6*o + 3. Let v be h(-6). Solve 35 = -v*l - 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31455761 is divided by 457.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9\/18)\/((-2)\/(-76)). Let o(j) = -c + j - 4*j + 2*j. Let y be (-2 + 2\/1)\/(11 - 9). Determine o(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137515 take away 8567543?\nAnswer: -8430028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 228751.51 - 1613.\nAnswer: 227138.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 372852 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5 + (sqrt(78)\/sqrt(6)*4 - sqrt(91)\/sqrt(567))**2*4.\nAnswer: 63133\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 5 - 8 + 3*a - 3 in the form u + c*a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 5) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 4 = -x + 3, -x = 4*g + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 64888651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 8 = -0*m. Calculate the common denominator of 4\/(-6) + (-82)\/6 and (-12)\/32*m - 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/7  (b) -19  (c) -3  (d) 30  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 2792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + f**2)*(0*f - 4*f + 2*f) + 18*f**3 - 3*f**3 - f**3 + 0*f + 0*f + 3*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -295*z**6\/3 + 2*z**3\/3 - 129*z**2 - 607. What is the second derivative of a(l) wrt l?\nAnswer: -11800*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46 - 13*x**2 - 55*x**2 - 4*x - x + 2*x.\nAnswer: -68*x**2 - 3*x - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of 31*w**5\/60 - 7*w**4\/12 + 5*w**3\/2 + 14*w**2 + 2*w. Let s(k) be the first derivative of l(k). Differentiate s(f) wrt f.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 365 - 364.89. What is the fourth biggest value in -0.2, -5, -1, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -9 - 2037\/(-231) - (-39028002)\/11. What is f rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 - 16*z - 44. Let s be y(-4). Suppose -6*r = -2*r - 4, 0 = -4*v - 3*r + 15. Suppose -v*h + 9 = 0, s*l + 1346 = 8*l + 2*h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o + 1. Let g be (3\/9)\/((-8)\/(-24)). Let r(s) = -9*s - 4. Give g*r(i) + 4*j(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -7*d**2 - 16*d - 20. Let x be t(-20). What is x rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 654\/5 - 2\/5*o**2 + 212\/5*o = 0.\nAnswer: -3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**3 + 15*p + 14*p + 32 - 31*p**2 + 30*p**2 - 33 to r + a*p + i*p**2 + d*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x + 11*x - 715 = -22*x. Solve -4*y = v + x, v - 7 = -y - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -864*w = -q - 862*w - 34, w = -3*q - 123 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35477 is divided by 243.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*m**2 - 5*m + m**2 + 5*m + m + 15 + 6 as q + a*m + t*m**2 and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.05632 + 0.13494. Let o = -89 + 89.078. Let g = n - o. What is g rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 493 - 504. Which is the third smallest value?  (a) -1\/14  (b) u  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 5*b**2 + 17*b - 21. Let d(g) = -6*g**2 - 21*g + 26. Let n(v) = 4*d(v) + 5*w(v). Let y(h) = 12*h**3 - 6*h**2 - 5*h + 5. Determine 5*n(a) + y(a).\nAnswer: 12*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 284689830 to the nearest 100000.\nAnswer: 284700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13663679 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -21*z. Let l(q) = -5*q. Let m(y) = 5*k(y) - 20*l(y). What is the units digit of m(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-990)\/(-81) - (-2)\/(-9). Solve -4*x + g = 3*w, -2*w - 4*x + 2 + 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3973 or 1?\nAnswer: 3973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*a**3 + 18*a**3 + 8*a**3 - 27*a**3.\nAnswer: -25*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q + 2*q + 0*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c - 5*c + 3*a + 6 = 0, a = -4*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-4)*36\/2. Let u be 12\/(-9) + 3\/d. Is 2 a factor of 3 + (1 + -1)*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 9*p**2 - 5. Suppose 54*q = 27*q - 135. Let w = -6 + 2. Let c be 7\/w + (-1)\/4. Let v(d) = -4*d**2 + 2. What is c*i(f) + q*v(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 14331207, 14331206, 14331205, 14331204, 14331203?\n\"Answer: -m + 14331208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10134 is divided by 3360?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1397181 = -98*o - 266359. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 8 = -8. Let q = -68 - -125. Let y = q + -28. What is the remainder when y is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 77 and 23261805.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/15 + (-180)\/(-25). Let v(g) = 2*g**2 - t + 8. Let c(n) = n**2. Let l(d) = -2*d**2. Let m(s) = -2*c(s) + l(s). Calculate v(m(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182483.\nAnswer: 7, 131, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 6:07 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 13 + 8 + 1)*(1 + 10*m + 40*m - 19*m).\nAnswer: 496*m + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -2877996.8 to the nearest ten thousand.\nAnswer: -2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*f = 1852 + 430 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5356 is divided by 762.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -170*o - 15. Let a(k) = -23*k - 2. Let i(y) = -15*a(y) + 2*p(y). Let l(f) = -2*f**2 - 2*f. Determine i(l(v)).\nAnswer: -10*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571333?\nAnswer: 7, 81619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/((((o**(-4\/3)\/o)\/o)\/o)\/o*o*o)))**(2\/9) assuming o is positive.\nAnswer: o**(-20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 56.3*0.5\nAnswer: 28.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3*s = 26090, -3*d + 5699 = -4*s - 13879. List the prime factors of d.\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 35*((-78)\/(-42) + 1). What is the remainder when 113 is divided by 168\/(-10)*(10 - l\/8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 + 2*m + (1 - 1 + 3*m)*(2 - 4 + 4) + 4*m + 0*m - 5*m as o + f*m and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -22*v + 31. Suppose 3*w - 24 = -2*b - 7, 4*b = 4*w - 16. Calculate h(w).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 230, 236, 262, 308?\n\"Answer: 10*k**2 - 24*k + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-169 + 169 + 10*i**2 + 2*i)*(-3*i**2 + i**2 - 2*i**2)*(-3*i + 8*i - 3*i).\nAnswer: -80*i**5 - 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 0.3, 5.06 in decreasing order.\nAnswer: 18, 5.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.31886l in millilitres?\nAnswer: 9318.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 415 or 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -139*b + 16. Suppose 4*o + q - 27 = 0, -q - 4*q = -15. Let m(h) = -139*h + 16. Let z(a) = o*m(a) - 5*g(a). Is z(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qalhqhlkakklshq. What is prob of picking 3 q?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12 or -1103\/101?\nAnswer: -1103\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -u**3\/6 - 7*u**2\/2 + 64*u + 2. Determine m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 f, and 1 p when four letters picked without replacement from fnpnnfnpynypnpnnnyn.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -1 + d - d + 3*d - 2*d. Let a be z(5). Suppose -a*p = -8*p + 24. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -104856806 + -5?\nAnswer: -104856812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-297 - 63*g - 67*g + 128*g)*(2*g**3 - 2*g**3 - g**4).\nAnswer: 2*g**5 + 297*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -2*l**3 + 31*l**2\/2 - 24*l + 37. Let p(t) be the first derivative of h(t). Differentiate p(s) with respect to s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*g + 182, -3*m + 1 = 7. What is the greatest common factor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 11:48 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**2 + f. Suppose -28*a = -753 - 3. Let w(v) = 1 - 28*v - 26*v + 107*v - 25*v - a*v. Determine r(n) - w(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -30433552?\nAnswer: 30433560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-21 - 1038\/(-54))*(-3)\/4. Solve 26\/3*o**2 + 0 - y*o = 0 for o.\nAnswer: 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 145*x**2 + 206600*x - 35625.\nAnswer: 5*(x + 1425)*(29*x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of 0*q**2 + 4*q - 1\/6*q**3 + 0. Let t(d) = -d**2 + d + 1. Let w be t(0). Give z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1424099 and -0.03.\nAnswer: -42722.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 159*z**2 + 42*z. Let f(x) = 2*x**2. Calculate j(f(r)).\nAnswer: 636*r**4 + 84*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 147?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-10 - -8) - (-10 + 8 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - 0 - (0 + 3). Let m be (-7 - 1)*(-2)\/f. Does 2 divide (-8)\/m*1*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(475) + -1).\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (7580 - 1386 + 2499 - 969)*(3*l**3 - 3*l**3 + l**3) in the form b*l + p*l**3 + d*l**2 + n and give p.\nAnswer: 7724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**3 + 3*v**3 - 5*v**3)*(88*v**2 + 676*v**2 - 382 + 380 + (3*v + 2*v - 7*v)*(-2*v - 2*v + 2*v)).\nAnswer: 1536*v**5 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 - -279. Let d = r + -310.99316. What is d rounded to 4 decimal places?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -150*u + 175 - 175 + 2*u + 3*u - 6*u + (u + 3*u - 2*u)*(3 + 2 - 4) to the form n + o*u and give o.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/35*7*4\/56?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 517998 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.3, 0, -278\/9, -4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 79260577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/21, -3013, -2 in increasing order.\nAnswer: -3013, -2, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 8:53 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.26 + 3.36. Put -0.042, -0.1, c in decreasing order.\nAnswer: c, -0.042, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 6*h. Let u(n) = 6*n**2 - 8*n**2 - 2*n**2 - 10*n**2. What is u(w(v))?\nAnswer: -504*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z. Let k(q) be the second derivative of q**6\/720 - q**4\/4 + 3*q. Let o(b) be the third derivative of k(b). Give l(o(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -6\/7, 6, -0.153?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5905 (base 12) to base 8.\nAnswer: 23325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 + 11. Let w = 0.45 + -1.45. Let h = -5 - -8. Which is the smallest value?  (a) w  (b) z  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 311666808 rounded to the nearest one hundred thousand?\nAnswer: 311700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 314276, 314263, 314250, 314237?\n\"Answer: -13*h + 314289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -26, 4, 3, -6, -5 in decreasing order.\nAnswer: 4, 3, -5, -6, -21, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1\/372 - -251\/1116. What is the third biggest value in t, 1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 283 - 713 = 0. Let g = k + 30. List the prime factors of g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 6504.12?\nAnswer: 26016.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*d + 9 = 0, -3*z + 6 = 4*d + 11. Let i(g) = -g**2 + 8*g - 7. Let j be i(7). Put j, z, 66 in descending order.\nAnswer: 66, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 975 is divided by 160?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -1687 - 2065. Let j = -297 + y. What is the remainder when j is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by 25\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 97, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3\/3 + 76*t**2\/3 - 580*t\/3 + 500\/3.\nAnswer: 4*(t - 5)*(t - 1)*(t + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 2*o - 4462200, -16*o + 8924400 = -12*o + 4*d. What is o rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 - -2 - (196 + -166)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6957113*l**2 - 6379*l + 4255.\nAnswer: -13914226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.08, -5\/6, 4, 2\/481, 8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*w - 1120 = 11*w. Solve 0 = -w*p + 30*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 105 + -10011221?\nAnswer: -10011113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.47 * -3701.\nAnswer: 12842.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*f + 24*f + 50. Suppose -8*y = -f*y - 84. Let r = 62 + y. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 14522154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-9 - -3) - 368045\/(-3). Suppose 32*v - 104614 - j = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 749, 1498, 2247, 2996, 3745, 4494?\n\"Answer: 749*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -2*d - 105. Suppose -206 = -11*z + 619. Let i = z - d. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 580*v**3 + 514*v**3 + 2*v**2 - 2*v**2 - 1092*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-4))\/((-6)\/64). Let m = l - 9. Suppose 0 = d - 6 + m. Let x(o) = 2*o. Determine x(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.4  (b) -0.09  (c) 1\/5  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 223 - 103. Suppose -r = 4*y + 24. Let w = -17 - y. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -8*g + 1. Let d(b) be the first derivative of b**2\/2 - 4*b + 4. Let w be d(3). What is the units digit of p(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*b - 17. Let a be 7\/((b\/(-9))\/(-5)). Let m = a - 15. Solve -2*l = 2 - m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -7 + 6. Let c be 2 + d + 2 + 35\/5. Solve -3*f - 10 = 5*r, f = 3*f + 4*r + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -7. Let t = 2 + j. Let w = -1 - -0.9. Which is the closest to 0?  (a) -0.3  (b) w  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 11:36 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49*a**2*f*r - 3*a**2*r*t**2 + 9*a*f*t**2 + 35*a*r*t + a + 2*t**2 wrt f.\nAnswer: 49*a**2*r + 9*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 71, -26, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 112331?\nAnswer: -112331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 46224868 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 129 = -49. Calculate the common denominator of 2*74\/16*2 and ((-14)\/v)\/((-45)\/(-380)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + 4. Calculate the remainder when 22 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 62 + 41. Let u = 125.6 - i. Let t = u + -22.398. Round t to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 + 13 + 24*k - 51*k to the form n*k + i and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 + 3)\/1 - (28 + -24). Let g(n) = 2*n**2 + 4 + 3*n + 2*n - 2. Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - -356 - (-2)\/(-2). Suppose -5*x + f + 444 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**3 - 64*b**2 + 93*b**2 - 41*b**2 - 125*b**2 - 182*b**2.\nAnswer: -8*b**3 - 319*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: 28912555 divided by 35\nAnswer: 826073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 338 divide 1578122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -50320000 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 7. Let n(m) = m**2 + 2. Let q be n(d). Let u(y) = -y**3 + 9*y**2 - 5*y + 49. Let f be u(9). Solve q*x - 41 = x - 4*s, -x + f*s = 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -163, -165, -167, -169?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10\/9, 3.1, -3\/2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 2*g - 36 = -4*d, 5*g - 77 = 3*d. Let s = g - 0. Let q = s - -4. What is the least common multiple of 18 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w + 1. Let a(b) = 18*b - 2. Let k(i) = -2*a(i) - 7*g(i). Calculate k(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -68671 and -0.2.\nAnswer: 13734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*h**5 - 2972*h**4 + 2*h**2 + 42261*h wrt h.\nAnswer: -1500*h**2 - 71328*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54 - -54. Suppose 3*n = 2*d + 37, -3*d - n - 46 - 4 = k. Let u(l) = -l**3 - 17*l**2 - 6*l - 17. What is the tens digit of u(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -24.6. Let n = w + -4.4. Sort n, -4\/7, 1\/3 in decreasing order.\nAnswer: 1\/3, -4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/3 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 + 3*x**2 + 29 - 28)*(-2 + 5 + 3) - 4*x**2 + 5*x**2 + 0*x**2 + (3 + 3 - 7)*(-2*x**2 + x**2 + 3*x**2).\nAnswer: 17*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*f - 78 = 10*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7525)\/172 - (7 - 403\/52).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 9*10*2\/(-45)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1738, 5379, 11040, 18721, 28422, 40143, 53884?\n\"Answer: 1010*p**2 + 611*p + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3882878 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adgiaagrdidsaassra. Give prob of picking 1 s, 1 i, and 1 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oud when three letters picked without replacement from {h: 1, d: 2, o: 1, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.557939t to kilograms.\nAnswer: 8557.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-112)\/(-192)*((-21)\/(-14))\/((-5)\/(-10)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16438.\nAnswer: 2, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**2)**37)**(-2\/31))**(-20) assuming x is positive.\nAnswer: x**(2960\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18632 - 5?\nAnswer: -18637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 4:33 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qm when two letters picked without replacement from mjqmqmqmmqm?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 k, and 1 p when three letters picked without replacement from uuuuuuvputqvvkuutu?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -43.046 and -18?\nAnswer: 25.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x - 4 = -5*s + 28*x, -2*s + 3*x - 3 = 0. Let i(q) be the second derivative of s*q**2 + 0 - 3*q + 1\/2*q**3. Calculate i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qoqwzz. What is prob of sequence ow?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -505164 - -1355513. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 190 and 246335.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -32) + -2*1. What is the units digit of 9\/d + (-16)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -5. Let c = 7.4 + -7. Suppose -4*x + 22 - 18 = 0. What is the closest to 1 in x, r, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 201523 - -484.\nAnswer: 202007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (12 - 8 - (1 + (-3 - -2 - -18))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 1, w: 1, m: 1, q: 1, x: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 182 - 234 = -32*c. Suppose 2*a = k + a - 313, 625 = 2*k - a. Calculate the greatest common divisor of k and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c + 5*c - 4*c)*(-1 - 3 + 3)*(2 + 36 + 1)*(-c**2 + 0*c**2 + 2*c**2 + (5*c**2 - c**2 - 3*c**2)*(0 - 2 + 0)).\nAnswer: 39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19324 - -231739\/12. Find the common denominator of y and (-1 + 63\/30)*(-11425)\/(-5484).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minus -992?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 7 + 66*q**2 + 65*q**2 + 6*q - 116*q**2. Calculate the remainder when 31 is divided by x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*o - 56700 = -112*o. Is o a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1009.1  (b) 4\/7  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1620 and 585766890.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -4*t**3 + 5*t - 3. Let y(n) = n**3 - n**2 - 3*n + 3. Let o be y(2). Let d(s) = s**3 - s + 1. Give o*r(p) + 3*d(p).\nAnswer: -p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 34270148217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 177*1 - (5 + 30\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 8) to base 3.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -102*v**3 + 56 + 33*v**3 - 31*v**3 + 1 - 79*v**3 wrt v.\nAnswer: -537*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 68174\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-33)\/((-693)\/(-42)) + (-105055)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkbkkkkkb. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*z + x - 6, -311*x + 314*x = -2*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2311102 + -223?\nAnswer: 2310213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a factor of 7435890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + g**2 - 40. Let o be q(0). Let w = 7 + o. Let s = w + 65\/2. Which is the closest to s?  (a) 4  (b) 1  (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -19, -4, -3, -27, 4.\nAnswer: -27, -19, -4, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*z - 3019 + 835. What is the remainder when z is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -119*q**5\/10 - 539*q**4\/12 + 2093*q**2. Find the second derivative of t(b) wrt b.\nAnswer: -1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*r - 11 = 0, -4*r + 7 = -2*t - r. Suppose 59 + t = w. Suppose 19*h - 17*h - w = 0. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/40 and -53\/31838.\nAnswer: 636760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7 from 0.009.\nAnswer: 7.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(2) + 1 + sqrt(2) - (sqrt(18)*1 - sqrt(2))) + (2*sqrt(6))\/sqrt(3)*1.\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1*l)**(-40)\/(l**(2\/7)*l\/l**(-2\/3))*(l*(l\/(l**(-1\/2)\/l))\/l*l**(-1\/5))\/(l**(-2\/7)\/((l\/l**(-1))\/l)) assuming l is positive.\nAnswer: l**(-2351\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**1)**26*v\/(v\/v**(-2))*v**(-1)\/v assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 3*a - 271, -2*a - 15 + 7 = 0. Round c to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1120\/1353 - 10083571\/20295. Let c = q - -496. Sort 0.1, -0.5, c.\nAnswer: -0.5, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**4 - 14*d**2 - 3. Let b(m) = 3463*m**4 + 54*m**2 - m - 351. Let c(u) = -b(u) - 4*i(u). What is the third derivative of c(q) wrt q?\nAnswer: -83016*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u**(2\/5)*u)\/u*u)\/u)\/(u*u**1)*((u*u\/u**(-9)*u)\/u)\/(u\/(u\/(u\/(u\/u**(6\/5))))) assuming u is positive.\nAnswer: u**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (8 - 23) - -13) + -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -789440 less than -789427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 517 = 2*a. Let z = a - -1058. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1007205965?\nAnswer: 5, 31, 6498103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -40*o - 32. Let h(g) = g + 429 + 427 - 857 - 4*g + 2*g. Suppose -23*v - 6 = -17*v. What is v*l(r) + 32*h(r)?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(21)*-1 - (sqrt(84)\/sqrt(4)*1 + sqrt(21)))\/(sqrt(700) + 1*sqrt(700)*6 + sqrt(700)*1*4).\nAnswer: -3*sqrt(3)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 4 = k - 3*i, -5*k - 35 = -5*i. Let s be ((-15)\/6 + 2)*k. Suppose w = s*t - t - 113, 0 = t - 5*w - 70. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 329b + -10d?\nAnswer: 318c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 10*d**2 - 22*d - 8. Let s be v(-7). Let u be ((-16)\/(-180))\/(2\/s). Is 2\/3 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 71.8 - 37.4. Let w = 34 - z. What is the nearest to -0.1 in -1\/2, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -14*g + 23. Let n(p) = -1 - 14 + 6*p + 5*p - 2*p. Let c(d) = 11*d**3 + 7*d**2 + d. Let u be c(-1). Give u*j(o) - 8*n(o).\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3501098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 249.4?  (a) 5  (b) -9  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3169212177.\nAnswer: 3, 233, 1549, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 15*n**2 - 14*n. Let w be i(-14). Suppose 4*o + 0*o - 80 = w. Suppose 0 = -5*j + o, 0 = -5*d - 7*j + 2*j + 1075. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1884 - -3823. Is 15 a factor of (d - -27)\/(4 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1*t**(1\/13))\/(t*t**(-2)*t*t**(1\/10)) assuming t is positive.\nAnswer: t**(127\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300) + -2 + sqrt(300) + sqrt(300) + -5 + -5 + (sqrt(300)*1 - sqrt(300)))**2.\nAnswer: -720*sqrt(3) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -430640, -430638, -430636, -430634?\n\"Answer: 2*o - 430642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 620, 602, 556, 470, 332, 130?\n\"Answer: -2*i**3 - 2*i**2 + 2*i + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 17*n**2 - 14*n + 17. Let y(k) be the first derivative of 2*k**3 - 5*k**2\/2 + 6*k - 3. Determine 4*x(s) - 11*y(s).\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*u - 4*p, 3*p + p - 12 = 0. Solve -5*f + 4*f = 3, 0 = -4*j - u*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65167 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13295 divided by 83.\nAnswer: -13295\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(-30 - 53 + 11)*(-2 + 2 - 4*z).\nAnswer: 288*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -7767 divided by -2589\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 w, and 2 z when four letters picked without replacement from zdwwwdzdwdwww?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -11 times 28\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eed when three letters picked without replacement from dedddededdeeeedeeede.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*t = 34*t - 5*r - 75, 0 = 2*t + 4*r - 72. Solve 2*s = -t*j + 29*j - 4, s = -j - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000638373675 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (-12)\/9 - 1\/3. Let k = z - -4. What is the third derivative of j**4 + 2*j**k - j**4 - 25*j**2 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2794 divide 1240960688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*i = 6239958, -5*h + 4269643 = 4*i - 6130319. Suppose -4*d - 520008 = -o, 5*d - h = 3*o - 7*o. What is o rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 954 and 424?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 644562.\nAnswer: 2, 3, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 111311 and 395?\nAnswer: 556555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7084 and 154350700.\nAnswer: 1697857700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*b - 5*f = 451, -5*b + 1080 = -3*f. Let w = b + -146. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-1)*(3600\/(-60))\/480?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42311*o**4 + 10545*o + 1 wrt o.\nAnswer: -507732*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -5*m, 28*m - 31*m = -2*s + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -5710.\nAnswer: -1\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.266, -6429, 0.3?\nAnswer: 0.266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 51448, 205808, 463076, 823252, 1286336, 1852328, 2521228?\n\"Answer: 51454*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 353, 3036, 10359, 24656, 48261, 83508, 132731?\n\"Answer: 389*z**3 - 14*z**2 + 2*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t**3 + 2*t**2 - 1. Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 + 8. What is the highest common factor of t and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-384)\/(-15))\/(11 + (-3064)\/280). What is the greatest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -6, -1327*n + 1329*n + 3*m + 31 = 0 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 + (-3 - -7))\/1. Solve -8*o + 3*o - 10 = u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57 * 5\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 521121 or 521736?\nAnswer: 521736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142730303.\nAnswer: 142730303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 6*l - 3. Let a = 171 - 167. Suppose a*n = -0*n - 5*i - 20, -3*i - 25 = 5*n. Let w(b) = 3*b - 2. Give n*w(m) + 3*g(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 7:18 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 + -0.12. Let o = 2.78 - p. What is the closest to 0 in -1\/4, 1, o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4 = -4*o - 1, 0 = -3*v + o + 9. Suppose -5*x = -v*x - 68. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 101 and 5813055.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.83 + 3.83. Which is the nearest to 1?  (a) 5  (b) 0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 665281.7 kilometers?\nAnswer: 665281700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.061 and -50.43?\nAnswer: 50.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15299508019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -811 or -866?\nAnswer: -811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 2*x - 528. Let u = -80 - x. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81.19 - 86.19. What is the nearest to p in 3, 1\/6, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 9*v + 8. What is z(-7)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11, -16, -33, -68, -127, -216, -341?\n\"Answer: -c**3 + 2*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 721919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**6\/720 + o**5\/40 - 3*o**4\/16 + o**3 - 3. Let r(s) be the third derivative of x(s). Factor r(q).\nAnswer: -(q - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*94333.\nAnswer: 94333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48 - -72) + -42 + -22.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 91 in -0.247, 3\/11, -2\/43, -1?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-7) - 186\/(-210). Let y = -40 + 38.3. Let t = y + 1.8. Sort x, 0.2, t in ascending order.\nAnswer: t, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11 - -11140?\nAnswer: 11125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2362\/296255 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2277 + 2279. Let h be (1\/(-2) - 0)*-2. Let j = h - 2. Sort 1, q, j in decreasing order.\nAnswer: q, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from mmfmfmmmmmf?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*g = 2*z - 41*g + 6, 3*z + 4 = 8*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of s**4\/12 + s**2. Let p = 320 + -222. Let k(z) = -3*z + p - 98. What is k(x(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 - ((-40 - 25) + 42)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 4:02 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s + 2. Let f be z(-2). Let r be -130*(-2)\/8*f. Let x = r + 122. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -359 - -388. Which is smaller: 35 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-9) + (-8)\/(-6). Let f be -3 - (-46)\/x - 3. What are the prime factors of 8\/f + (-59)\/(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 7*k**2 - k + 9. Calculate the remainder when 60 is divided by v(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2879.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 514*l - 5254. Calculate y(10).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9396706*f + 9897759?\nAnswer: 9396706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus 2287213?\nAnswer: -2287214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(4 + (-4*sqrt(1100) - sqrt(1100) - sqrt(1100) - sqrt(1100)))*-3 + 0 + -3)**2.\nAnswer: -189000*sqrt(11) + 17469225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/9)\/(11\/77)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -107.9312 and 11022?\nAnswer: 11129.9312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*b - 20 = 41*b. Let m be -9*(1\/(-21) + (b - 5)). Factor m - 1\/7*i**2 - 2\/7*i.\nAnswer: -(i - 1)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0048621 to five dps.\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -t**2*u + 716*t**2 - 3*t*u**2 - 1160*u**2 - 2*u with respect to t.\nAnswer: -2*t*u + 1432*t - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9936 and 810?\nAnswer: 149040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 12:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -46*g. Let t(y) = -67*y**2 + 5*y + 5. Determine t(u(n)).\nAnswer: -141772*n**2 - 230*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (133 + -1)*(-54)\/(-72). Suppose 5*y - k = -2*a, -2*a + 6 = -4*a. What is the highest common divisor of y and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -407*f + 6103. Calculate j(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 57 = -5*z - 71, 6 = 5*z + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**2. Let z(o) = -1303*o - 4. Let p(j) = -80*j. Let i(f) = 6*p(f) - z(f). Determine w(i(l)).\nAnswer: 2031987*l**2 + 19752*l + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z\/z**(-2\/9))\/z))\/z)**(-4\/3)*(z**0)**(3\/7)*((((z\/((z**(-8)\/z*z*z*z)\/z))\/z*z)\/z)\/((z\/(z**(-10)\/z))\/z*z*z))**(-38) assuming z is positive.\nAnswer: z**(6164\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**5 - l**5 + 2*l**5 + (0*l**4 - l**4 - 7*l**4)*(-l - 4*l + 3*l) + (-l**4 - 6*l + 6*l)*(3 + 2*l - 3).\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 4*p**2 - p - 7. Let j be w(3). Suppose 0 = 4*y + g - 13, 2*y = 7*y - 2*g - 13. Calculate the remainder when 78 is divided by j\/y*0 - -20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 38, 127, 266, 455, 694, 983, 1322?\n\"Answer: 25*s**2 + 14*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -152 equal to -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12, 46, 102, 180, 280?\n\"Answer: 11*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001000 - 1011000001011110?\nAnswer: -1011000011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (944\/(-32) + 21)\/((-1)\/2). Solve 3*m - 2*x - 3 - o = 0, 2*x + 16 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -23. Let v be t\/9*(-5 + 2). Suppose -4*i - 3*l = -v*l - 51995, 52005 = 4*i + l. What is i rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - (-700)\/170) + 147\/51. Let n = -5.98 - 0.02. Let x = 2 - 1.5. Which is the closest to n?  (a) -0.4  (b) x  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 + 15. Let y = -2 + 9. Let f = y - q. Solve 0 = c - 1 + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 62520861 divided by -563251\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19779 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2007029054 to the nearest integer?\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 555141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b + 12*b + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o**4*u**2 - 5*o**4*u - o**3 + 419*o**2*u - u**2 wrt o?\nAnswer: 24*o*u**2 - 120*o*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-3\/10)\/q**(-7))**(1\/66) assuming q is positive.\nAnswer: q**(67\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*j - 3591 = 6341 - 6816 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*c + 52*c = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -19*t. Let g be (-108)\/(-26) - 0 - (-4)\/(-26). Suppose 0 = -4*b + 4*o - 4, 4*b + g*o - 4 = -0*b. Let q(c) = b*c**2 + 8 - 8 + c**2. What is z(q(v))?\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 + 42. Suppose 5*q + 0*q = w. Suppose -q*k - 3*k + 486 = 0. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 30557*g**3 - 4*g**2 - 10*g + 11. Is 108 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**4 - 6*a**2 + 5*a**2 - 3*a**3 - a**2)*(3 + 4 - 4).\nAnswer: -6*a**4 - 9*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 73 and 1679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7*10\/(-15) + 6. Let c(m) be the first derivative of 0*m - t*m**3 + 2*m**2 + 4\/5*m**5 + 4 - m**4. Factor c(l).\nAnswer: 4*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 10:06 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*a*r**5 - 44*a*r + 3*a - 4796*r**6 - 5*r**2 - 2 wrt r?\nAnswer: -180*a*r**2 - 575520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -10, -7, -10, -25, -58?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 - -1633?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is dad - -2a?\nAnswer: dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3211 is divided by 226.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from rzrzazrarrzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1016*o**3 - 1169?\nAnswer: 3048*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 34950566?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 8311.5 + -2915066\nAnswer: -2906754.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30103962 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 548 - 2*o - 1679 + 590 + 541.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5248306.4 rounded to the nearest 1000?\nAnswer: -5248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -1569 and -2.\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4473857258 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 11*t - 7. Calculate v(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, 249, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 202 divide 175336606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 126151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 110\/14)*(1495\/(-260))\/23?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(468) - (sqrt(468) - (-2*sqrt(468) + sqrt(468)))))\/(sqrt(1089)*-3))**2.\nAnswer: 832\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 213814 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -5098000 to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 2*d - 16, -3*d + d + 4*n + 26 = 0. Suppose l + 3*u = d*l - 14, 4 = 3*l + 4*u. What is the first derivative of 1 + l + t - 4 wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 5:59 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771859 is divided by 13783?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) -2\/7  (b) 38.5  (c) -3\/4  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qwtfwwwqtqqqqq. Give prob of picking 2 q and 2 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73*u**3 + 68489*u - 147*u**3 - 34244*u - 34245*u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oppnpppppnnnpppnp. Give prob of picking 3 n.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - w. Suppose -5*s + 1 = -2*z + 2, -3*z + 4*s = -5. Suppose -v + 0 + z = w, 5*p - v = 12. Solve -q + p - 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -3\/7, -1.6, -0.1, 4731?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - 5 - (-1 + -1). Suppose -2*y + u*y = 54. Suppose 4*j = -3*x - 53, -j - j - x = y. Which is smaller: j or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 348 - 80. Let c = h - 268.019. Round c to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m**2 + 2*m. Let u be r(-4). Let c be ((-10)\/u)\/(2 + 0). Put c, 4, -0.1 in descending order.\nAnswer: 4, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 + 0.133596\nAnswer: 0.163596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1.82 times 0.0532\nAnswer: -0.096824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m - 2. Let v be h(7). Suppose 0*b + 9 = 4*b - v*s, -b = -2*s - 3. Solve w = -b - 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**2 - 9*q - 7. Let x be d(-2). Let c(b) = -b - 1. Let g(r) = -r. Let s(k) = x*c(k) - 5*g(k). Let y(j) = 2*j. What is y(s(i))?\nAnswer: 4*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 - 2*f**2 + 2*f**2 + (2*f - 4*f + 0*f)*(3 - 2*f**2 - 3) - 2*f**3 + 2*f**2 - 2*f**2 + (3 - 3 - 2*f**2)*(-f - 2 + 2).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 j when four letters picked without replacement from {v: 8, j: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 325, -443, -1223, -2021, -2843?\n\"Answer: -b**3 - 761*b + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*f**3*u**3 - f**3*u + 2*f**2 + 2427*f*u**3 + 61674*f*u**2 wrt u?\nAnswer: -90*f**3 + 14562*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 798 in -0.2, 5, 483, 1\/13, -1?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8955308652 to the power of 1\/3, to the nearest integer?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**21)\/(n*(n\/(n**(6\/17)*n*n))\/n) assuming n is positive.\nAnswer: n**(-300\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - 8. Let s = 14 - q. Suppose 7*d - s*d - 12 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -16*h**2 - 30*h - 25. Let c(g) = -3*g**2 - 6*g - 5. Let l(v) = -11*c(v) + 2*d(v). What is the units digit of l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 12.199765.\nAnswer: 15.199765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5 - 1)*-1)\/(2\/1). Suppose -q + 18 = x*g, -2*q + 6 = g + 3*q. Let z be (-3)\/(-3) - -54 - 1. Calculate the highest common factor of g and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 6*u - 34, 2*u - 4*t = -0*t + 20. What is the lowest common multiple of u and -2*32\/(1 - 2)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*p - 4. Let u = p + -2. Let f = -1 - u. Solve -r = -f*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55158 is divided by 10537?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l. Let o = -20 + 39. Let m = 36 - o. Let u = -16 + m. Calculate v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5589035.8 - -2313490.\nAnswer: -3275545.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27930, 29052, 30920, 33534, 36894, 41000, 45852?\nAnswer: 51450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -0.0312.\nAnswer: 0.00936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - 4. Calculate the remainder when ((-62)\/c)\/(15\/(-75)) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 237.6 + -241.6. What is the nearest to -6\/17 in -0.1, 1, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 9:53 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 249584.3 decades to millennia.\nAnswer: 2495.843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 279486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 0 + ((sqrt(68) - ((sqrt(68) + 1*sqrt(68) + sqrt(68))*-3 + sqrt(68))) + sqrt(68))\/sqrt(4) + -5 + 2*sqrt(2057) + sqrt(2057) + sqrt(2057))**2.\nAnswer: -216*sqrt(17) + 49576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 228015 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 2 = -14. Let o be 2 - -1 - (-16 + l). Let i = o - 10. Solve -h + 3*h + i = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 31*u. Let l(h) be the second derivative of h**6\/360 + h**4\/3 + 13*h. Let y(m) be the third derivative of l(m). Determine y(x(t)).\nAnswer: 62*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = t + 21, 0*t - t = k - 23. Let i = k - 18. Solve 2*c + i = 4*c + 5*z, -5*c = -4*z + 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + r + 3*r)*(0*r + 6*r - 3*r) + (-r + 2*r - 2*r)*(51*r - r + 26*r).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 16*z - 6. Let u be k(16). Let g(i) = 2*i + 8. Let c be g(u). Which is greater: -14\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*j = 163. Let d = j + 247. Suppose 32 = -2*t + d. 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: Evaluate (0 - 0)\/4*(-22)\/(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -22.9  (c) -0.92  (d) -1348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*c + 2 - 2. Let b(o) be the third derivative of -1\/30*o**5 + c + 0*o**4 + o**2 + 1\/6*o**3 + 0*o. What is the first derivative of b(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 104*r - 105*r - 2*h - 7, 5*h = -2*r - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 913575 and 2414649.\nAnswer: 2811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3*u = -4. Suppose -5*t - 1 = 9. Is (-11)\/(u\/(14\/t)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 9 = t, 3*p + 6 = 5*p + 4*t. Let l = p - 2. What is the lowest common multiple of 10 and 2 + (-2 - 2) + l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5273 (base 10) to base 15.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10347*h**2\/4 + 217290*h + 252 = 0.\nAnswer: -84, -4\/3449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 17*z**2 - z - 12. Let k be p(-17). Let g(h) be the second derivative of h**3\/2 + 3*h**2\/2 + 3*h. What is g(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k**2 - 606142140*k - 18370414694188980 = 0.\nAnswer: -60614214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 3*s - 15 + 36, 0 = 2*x - 3*s - 3. Let o = x - -7. Find the first derivative of 2 + 0 - o*g + 3*g wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5420.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3364306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 3*l**2 + 1. Let p(v) be the second derivative of -v**3\/6 + v**2 - 3*v. Let t be p(0). Calculate a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c + 1. Let f(n) = 2 - 10 - 3 + 1 + 8*n. Calculate 2*f(y) + 18*t(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 450 + -296. Suppose s + 140 = 2*k + 2*b, 0 = 3*k - 5*b - 425. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*l + 13*l + 36. What is the third derivative of 37*j**5 - 33*j**2 - 52*j**5 + l*j**2 wrt j?\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 - 7*t - 30 - 13 + 12*t - 6*t.\nAnswer: -t - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -685 equal to -684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -72*d + 32*d + 95*d**2 + 2 + 0 + d**4 + 39*d in the form g*d**4 + h*d**2 + k + w*d**3 + p*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-55)\/(-3))\/(19\/57) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(-4*sqrt(144) - sqrt(9)) + (1*sqrt(190)*-1)\/sqrt(10).\nAnswer: -18*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 0 - d**2 + 3 + 6 + 5*d - 3. Let o be (111\/24)\/1 - (-6)\/16. Give q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 3*w - 5, o = -3*o - 16. Let y be w + (-6)\/3 - -1. Let f = y - -6. Solve -4*x = 4*v + 12, f = v + 3*v + x + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 557620 and 55020?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 18 (base 14) to base 10\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 45 - (-1 - ((-20)\/(-12) + 58\/(-6))). Let g be (-2)\/(1\/(-1)) - -1. Solve s = 5*k + 30, 2*s + 13 = g*k + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**2\/2 + 1262138*q + 796496165522 = 0.\nAnswer: -1262138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1628, 1 in decreasing order.\nAnswer: 1, -2, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -1688*a + 114 - 938*a - 76 - 38 in the form v + c*a and give c.\nAnswer: -2626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 328*k = 336*k + 88. Let u(h) = 2*h**2 + 19*h - 30. Let i be u(k). Solve 2*l + 2 = i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -15*s**2 + 0*s + 10*s**2 - 6*s. Let r(z) = z**2 + z. Give -g(j) - 6*r(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53 - 369\/7. Let r = 24 + -25.95. Let i = -0.05 + r. Is m at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6839*h - 3386*h - 3455*h + 11698)*(-3 - 2 + 3) to x*h + g and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27.473 + 8.773. Are p and 30 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -178*r**2 + 597 - 298 - 299 as t*r**2 + v + p*r and give t.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 358 + -364 - (0 - (10 - (2 - 1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*((-95)\/266)\/(2\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2158954110?\nAnswer: 2, 3, 5, 23, 211, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 103301?\nAnswer: 103243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1075 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -4*w**2 - 128*w - 1039. Calculate y(-18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 305 = -105*w + 103*w, -2*w - 2*z = -270. What is the remainder when w is divided by 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.08 or -8188?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/2 and 13\/23916273.\nAnswer: 47832546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 357 and 12774.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19f99e (base 16) to base 9.\nAnswer: 3174106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3\/8, 5, -0.4, 0.4, -0.251453?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-792)\/(-176))\/(27\/117636)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -274*s + 29. Let o be c(10). Let g = 6286 - o. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 179, 1, -10, -0.3, -0.35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 + 428*p + 4848.\nAnswer: 2*(p + 12)*(p + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -t**3\/3 - 3*t**2\/2 + 7*t - 4. Let w be g(-8). Let f = -16 - w. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**3\/7 + 6801910*l**2 + 47613368*l\/7 = 0. Calculate l.\nAnswer: -23806684, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -396*i**3 + 8503*i + 785*i**3 - 384*i**3 - 710*i**2 wrt i.\nAnswer: 30*i - 1420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5\/(-6))\/((-2)\/4))\/(400\/300).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*o + 88, 0 = -5*o + 2*r + 256 - 15. Let v = -14 + o. Let m be (5\/2)\/(v\/84). Solve -k - 2*k + m = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 77.54 + -77. Let z = -0.765 + m. Round z to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 8*j**2 + 596*j + 115. Calculate a(-73).\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, d: 8, v: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 8:13 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 128.3  (c) 0.3  (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 452 (base 6) to base 7\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 2*l - 6. Let o be r(-5). Let c be (-4)\/6 - 3\/o. Let u = 201 - 196. Put 3, c, u in descending order.\nAnswer: u, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2e (base 15) in base 4?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 5*c + 24, 13 = -5*m + 4*c - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - u + 2*u)*(1 + 3 - 2)*(0 - 2 - 1).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 357000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -42?  (a) 480  (b) -0.3  (c) -5\/2  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -9 - -7) + -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 170 = -12. Let r be f + ((-2)\/4)\/(1\/(-8)). Let q = 181 - r. Does 49 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -277*m**2 - 145*m**2 + 416*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -64*18\/(-576)*130\/4\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.5 in 8, 0.2, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -51149 - -0.0109?\nAnswer: -51148.9891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80362 and 36997966?\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-2517)\/81 + (102\/(-27) + -9 - -13)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z = 5*z. Suppose z = -u + 43 - 11. Suppose -4*a + u = -12. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 7*l - 4. Let o(y) = -48*y + 27. Let t(p) = -4*o(p) - 27*r(p). Let a(b) = -12 + 36 - 24 - 5*b**2. What is a(t(w))?\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2226?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*l - 41*l - 27*l = -38*l - 265 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 - 31.5. Let g = j + -23. Let p = g - -3.9. Round p to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.26 + -2.74. Let d be ((-2)\/(-28))\/(2\/(-4)). Sort d, a, 3.\nAnswer: a, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 789420?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 535040967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - (11 + (10 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 13*o**2 + 16*o - 19. Calculate the remainder when p(14) is divided by 1\/2 - 22\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 3*a**2 - 35*a - 35. What is v(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 59069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2173.7 - 2173.8. Sort -6, a, 1\/76 in decreasing order.\nAnswer: 1\/76, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -6. Suppose 2*n - h*n - 6 = 0. Let q = 6.8 + -3.8. Sort q, -5, n in descending order.\nAnswer: q, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -2  (c) -88542\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 353 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*t + 7 = -47. Let k(i) be the first derivative of i**3\/3 + i**2\/2 + i - 1. Let m(u) = u**2 - 1. What is t*m(n) + k(n)?\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 4*z**2 - 5*z + 4. Let t be r(2). Let c be (t - 4)\/(-1 + -1). Does 25 divide c + -4 + (1 - -1 - -99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -233 divided by -14\nAnswer: 233\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -364*h*s**2 - h*s - h + 18 wrt s.\nAnswer: -728*h*s - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - -3.82\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -181\/236 + 1\/59. Sort k, -2, -5.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 + -20. Let v(l) = 4*l - 7. Let z be v(f). Differentiate -7 + 2*q**3 + q**2 + 4*q**2 - z*q**2 wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l + 2. Let m be v(2). Let i(h) = -h - 1. Let a(p) = -4*p - 6. Let t(o) = m*a(o) + 12*i(o). Let s(n) = 2*n. What is t(s(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*j = -27*j - 5*w + 65, 4*w - 18 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -14*q**2 + 1932*q + 18. What is g(138)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14*30\/(-36) + ((-48)\/(-30))\/(12\/45)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5099, -7019, -10217, -14693, -20447?\nAnswer: -27479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(54)*-2*5)\/sqrt(9))\/(-4*sqrt(8) - 3*sqrt(288)).\nAnswer: 5*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3641, -3644, -3635, -3608, -3557, -3476, -3359, -3200?\n\"Answer: k**3 - 10*k - 3632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.364 - 0.064. What is the closest to y in 1\/2, -4, 2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 + 31.99577. What is m rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/7524 and -125\/8923464.\nAnswer: 8923464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*s + 71*s = 17*s + 1496 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6495 and 1732?\nAnswer: 25980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/15 - 2)\/(2\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 14. Find the second derivative of 4*d**k + 4*d + 4*d**3 - 3*d**3 - d**3 wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33871 - 68915 = 9267*m + 3539 + 69748 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 399848445 - 399843891.15889. Let w = p - 4573.942. Let r = -20.1 - w. Round r to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/620?\nAnswer: 3\/620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 36 = n + n, -32 = -3*n - 5*b. Let k(d) = 0 + 7 + n + d + d**2 - 2. What is the units digit of k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-2)*(-46)\/69)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/5)\/(50\/125)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1344\/(-272))\/42)\/(11\/(-110)*-5)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 5 = 4. List the prime factors of z*21*72\/54.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**4\/5 - 506*p**3\/5 + 1004*p**2\/5 = 0. Calculate p.\nAnswer: 0, 2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 17. Let n = -53.406 + -0.094. Let x = 54 + n. Which is the closest to 0.1?  (a) -1  (b) q  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2 = -4*p + 8, -p = 2*i. Let s be (-1 + 2)\/((-4)\/(-24)). Let x be s\/4*(-10)\/(-3). Solve 4*h - f = 4, 5*h + 3*f - x = p*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -r**2\/2 - 2*r - 3. Let w = -99 - -96. Let f be ((-1)\/(-2))\/(1\/(-8)). Let p(n) = n + 1. Give f*p(k) + w*q(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 114, -725 in increasing order.\nAnswer: -725, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 724692157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 115 = -2*s, -h = -4*s + 3 - 8. Suppose 0 = 4*p + 5*z - 106, 0*p + 3*z = 4*p - 90. Is h greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 17952.\nAnswer: 1\/5984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 198 and 1474?\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 108 + -60. Suppose -r = -k + 15, 0 = -0*k + 2*k + 2*r - 38. Let d = k - 5. What is the highest common factor of q and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 0.038.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 17006 and -9515037?\nAnswer: 9532043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108200 - 108201. Let h = -16 - -9. Sort h, n, 4, 6 in increasing order.\nAnswer: h, n, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 412 and 410 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**2\/3 + 2900*a\/3 + 1051250\/3 = 0. Calculate a.\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-8)*(-4)\/(-10). Let b = -0.1 - -2.1. Let q = -601.3 - -601. What is the smallest value in b, q, -0.1, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98 + 138. Suppose -7*u = 12 - s. Solve -g - 21 = -2*a - 4*g, 37 = u*a + 5*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g - g + 0*g + (3 - 2 - 2)*(-g - 3*g + 2*g) - 10 + 10 - 8*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -13*n. Let w be (-2)\/4*(-799)\/510 + 3\/(-4). Let p(y) be the third derivative of 0*y**4 + 0 + w*y**5 + 16*y**2 + 0*y + 0*y**3. Give q(p(c)).\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/51 + -2197\/204. Let z = -313\/28 - r. Which is bigger: -0.1 or z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**2\/7 + 5676*u\/7 - 454896\/7 = 0. Calculate u.\nAnswer: -2916, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 227290 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -43, 777993 in decreasing order.\nAnswer: 777993, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - 3\/((-6)\/4). Suppose 5*z = -l - 2. Sort -2, 0, z in ascending order.\nAnswer: -2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, -65, -4580, -1\/4 in decreasing order.\nAnswer: 3\/4, -1\/4, -65, -4580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 353674917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7682, 15254, 22644, 29762, 36518?\n\"Answer: -15*m**3 - m**2 + 7680*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 163365 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from euaqhueuaqeuaeeu.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2432*a - 1821650. What is y(749)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b\/b**(3\/7)*b**(-3\/4)*b assuming b is positive.\nAnswer: b**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 12:29 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1 = -i, -4*i + 1 = -2*i + y. Solve -2*p + i = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -506510 (base 12) to base 6\nAnswer: -42523220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 124 + 224 = 0. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -103*o + 1. Is a(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227018791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19604 and 1396201781?\nAnswer: 4901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -5, 3\/5, 4 in increasing order.\nAnswer: -5, 0.5, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -4. Let h = 0.274 - -0.026. What is the third smallest value in i, -1\/3, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 74*j**2 + 6*j + 15. Let b be u(-6). Let m be -15*9*3\/45. Is (-2)\/6 - b\/m*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4740 is divided by 168?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267745*v - 16 = 267761*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2120*c + 15*c**2 - 17*c**2 + 1609*c - 1497*c to the form n*c**2 + x + w*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1311 + 3*r**3 - 19*r + 3*r**4 + 1311 to the form y*r + p*r**4 + g + k*r**3 + n*r**2 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 19199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 25 = 2*l - 5*q, 0 = -2*l - 2*q + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -11*a + 9 + 2 - 1 - 2. Is d(-3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, b: 1, n: 3, d: 5}. What is prob of picking 2 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 33 = 5*y. Suppose y = 2*w - s - 3, -23 = -2*w + 5*s. Find the second derivative of -q**3 - q**3 - w*q + 5*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 72 and 3520.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - -3. Let n = 215\/8 - r. Which is the third biggest value?  (a) n  (b) -2\/3  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81.872 + 82. Let y = m - 0.038. Let h be 1*2 - 75\/30. Which is the closest to y?  (a) 0.2  (b) h  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.035 + 73.035. Let a = r + -66. Sort -6\/5, -0.4, a, -5 in decreasing order.\nAnswer: a, -0.4, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c202 (base 14) in base 3?\nAnswer: -1200201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dbbbbtflbttbb. Give prob of picking 1 l and 1 b.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-27)\/72*-50)\/(213\/(-568))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-265*v - 356*v + 116*v)*(-5 + 2 + 4)*(-2*v + 2*v - v**4).\nAnswer: 505*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 369*l - 738*l + 370*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 - 237*m + 37 - 40 + 44 - 750*m.\nAnswer: -987*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9800 and 15017240?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 206060990 to the power of 1\/3, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 4 - 3) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6 - 7\/(7\/2). Let a(h) = 3*h + 9. Let v be a(-7). List the prime factors of v\/c*14\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 11 = -5*m. Let u(b) = 63*b**3 + 6*b + 4. Let k(g) = 32*g**3 + 3*g + 1. Let l(p) = m*k(p) - 3*u(p). What is the second derivative of l(n) wrt n?\nAnswer: -174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of 10*y**2 - 1\/3*y**3 - 1\/40*y**5 + 1\/480*y**6 + 1\/8*y**4 + 0*y + 0. Factor r(m).\nAnswer: (m - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 27\/5 + 63\/105. Solve a*t - 3*t = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -484, -582, -846, -1360, -2208, -3474, -5242, -7596?\nAnswer: -10620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 241842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-2 + 2 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/6)\/(1\/4))\/((-128)\/(-480))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -97 - -8700b7?\nAnswer: 870020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3212 + -4196. Which is smaller: 3\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {u: 6, r: 6, o: 1, q: 3, y: 1, h: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 12*i + 38. Let n be t(6). Let d(v) = -v - 1. Let b(s) = s**2 - 11*s - 12. Determine n*b(g) - 22*d(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -42545?\nAnswer: -42544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**7\/2520 + f**6\/90 + f**5\/60 + 9*f**4\/8 - 33*f**2. Let k(s) be the second derivative of q(s). Give k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, 10, 2, 5, 1, -92 in descending order.\nAnswer: 31, 10, 5, 2, 1, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52516775 and 300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18162157 and 598.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -5*d + 75. Let c be x(5). What is the greatest common factor of 100 and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 7*d**2 + 5*d - 2. Let f be 1\/2 - 33\/6. What are the prime factors of l(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 4*w - 7. Let m = -7 - -11. Suppose -m*l = -0*l + 24. What is the units digit of d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6391.261 millimeters in meters?\nAnswer: 6.391261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 99*u. Let w(k) = -35*k + 11 - 11 + 33*k. Give w(o(s)).\nAnswer: -198*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84067674 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 9:48 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 10*n - 2*n - 179 + 184. Let w(d) = -23*d - 14. Determine -17*o(k) - 6*w(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 115650 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -19 - (-94 - -116).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 950080337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/(-6) + (34\/6 - 5). What is the smallest value in 0.4, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4 = -2*r - 5*p, -2*r + 21 = 3*p. Calculate the remainder when 205 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6526091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -32.9  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -60554 (base 11) to base 13\nAnswer: -31396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((52\/(-39))\/(42\/(-9)))\/(35\/(-4165))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4120 divided by 2?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9879, -39518, -88931, -158130, -247127?\nAnswer: -355934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0\/l*l\/l**(1\/3))\/(l\/(l\/(l\/(l\/l**(-2\/5)))))**3 assuming l is positive.\nAnswer: l**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.08 + -25.92. Let x = -39.53 - -13.518. Let l = x - g. What is l rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t + 0 + 0 + (1 + 1 + 0)*(-t + 0*t - 2*t) - 2*t + 3*t - 2*t)*(-t - 10*t - 7*t)*(2*t - 5*t + 2*t).\nAnswer: -54*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 1)*(-2*i**2 - i**2 + 0 - 1).\nAnswer: -3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 17  (b) -0.4  (c) 5\/11  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*h + 23 + 21 = 0. Which is greater: h or 11\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 685 divide 3093099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 9820, 9826, 9836, 9850, 9868?\n\"Answer: 2*b**2 + 9818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*k**3 - 259*k**2*p**2 + 33*k - 2*p**2 + 5*p wrt k.\nAnswer: -36*k - 518*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -208902340 to the nearest one million.\nAnswer: -209000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + 7*u + 8. Let o be z(7). Suppose v = 18 + o. Let s = v + -14. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m = 15*m + 76. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9585393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*z, 4*x + z - 6 = -16. Sort -4, x, 3, 2, 5.\nAnswer: -4, x, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 0 + 7\/6*w**4 + 1\/2*w**5 - 5*w**2 + 0*w - 1\/112*w**8 + 4\/3*w**3 + 1\/24*w**6 - 4\/105*w**7. Solve z(b) = 0.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - 14*d**2 + 5*d - 11. Let j be h(14). Let p = -57 + j. Let a be (p\/10*4)\/((-17)\/(-85)). Solve -r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62354951?\nAnswer: 2251, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 25.051392 months?\nAnswer: 0.2087616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -331\/12 - -2143\/84. Calculate the common denominator of -27\/70 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147975?\nAnswer: 3, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -572*t + 566*t + 4 - 2*t**3 + 5 - 13*t**2. Give a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2502544 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 111 = -6*h. What is the remainder when h is divided by (4 - 1)*(8 + (-4)\/3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14*-1*(2\/(-2))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -5*(-1284)\/54 - (-6)\/162*3 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162) - (3*sqrt(162) + sqrt(162))**2 - sqrt(22)\/(sqrt(11)*-2).\nAnswer: -2592 + 19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1605 * -7\nAnswer: -11235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 + -4. Let l(b) = b - 6. Let q be l(s). What is the greatest common divisor of q and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 847 and 775144755.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 179282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 207025*0.232\nAnswer: 48029.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5 + ((-157)\/(-4))\/(351\/(-52)) and -13\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 905*r**4 + 452.\nAnswer: 3620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -113.6 from -10.1925.\nAnswer: 103.4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of 0*a + 8 + 0*a**3 + 10*a**2 + 3\/4*a**4. Find the second derivative of c(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**2\/5 + 33862*j\/5 - 243288 = 0.\nAnswer: 36, 16895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242)*-2 + sqrt(242) + sqrt(242))*-2*-3 + 3 - (3 + (sqrt(242) - -6*(sqrt(242) + 1 - sqrt(242)) - -2*(sqrt(242) + sqrt(242) + 1))))**2.\nAnswer: 880*sqrt(2) + 6114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 1974 = 271. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 2*x + 3*a - 18, 5*a - 31 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**3 + 22*m**2 - 133*m + 431. Give y(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222002 - 1102?\nAnswer: 220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 22\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -298 less than -353697?\nAnswer: -353399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1431695 is divided by 10075.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17\/3 + -164\/21. Let t = -2.4772 - -2.9772. Which is the second smallest value?  (a) h  (b) t  (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -657*r - 1318. Give b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 105163636?\nAnswer: 946472724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*i**3\/3 - 142*i**2\/3 - 440*i\/3 + 256\/3 = 0. What is i?\nAnswer: -32, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -18303 divided by -3?\nAnswer: 6101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 238, 270, 298, 322, 342, 358?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 5*o - 7. Let a be y(9). Suppose -a = -2*t - 5. What is the lowest common multiple of 22 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9754 + 9879. Which is bigger: -3\/52 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 104\/6 + 2\/(-6). Suppose 0 = 5*l - b - 3. Suppose 4*u = -2*s - 10, -4*s + 13 = -l*u - 3. What is the nearest to -2 in s, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rmrmjmrrmmrmjmm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 2*m - 2. Let t be 3 + 0 - 5\/(15\/(-6)). Suppose -5*v = -t*p + 10, 2*p + 11 + 0 = -v. Determine f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.125 and 5?\nAnswer: -0.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -m + b, 5*m = b + 64 + 122. Calculate the remainder when 411 is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6, d: 1, s: 3, m: 3}. Give prob of sequence smee.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 387, 395, 405, 417, 431?\n\"Answer: j**2 + 5*j + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -650*j - 19*j**2 + 336*j + 314*j. Let k(i) = 14*i. Calculate k(c(w)).\nAnswer: -266*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 482 + -696. Let k = 215 + g. Suppose 16 = -2*n + 6*n. Which is the nearest to k?  (a) n  (b) 2  (c) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of 89*f**5\/10 - 23*f**4\/6 - 2*f + 21. What is the third derivative of g(m) wrt m?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 109178485, 109178483, 109178481, 109178479, 109178477?\nAnswer: 109178475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 2 = -5*x, -34*x + 8 = -4*g - 30*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 + j**3 + j**3)*(-2*j + 3*j - 2*j) + 3*j**4 + 18 - 18 + 3*j**4 + 2*j**4 - 3*j**4.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 73783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44070*k = 44172*k + 1530 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 3*w**4 + 7*w**4 - 5*w**2 + 0*w**4 - 4*w**4 + 12*w**4 + 2*w**3 in the form h*w + d*w**4 + a*w**3 + v + n*w**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2044415369.\nAnswer: 21529, 94961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 4 - (-4 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o. Let z(q) = q**3 - 5*q**2 + 2*q + 4. Let a be z(5). Let h(l) = -3*l**2 + 42*l + 5. Let s be h(a). Let k(p) = 4*p. Give s*c(r) + 4*k(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 386711634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51718057, -103436114, -155154171, -206872228?\nAnswer: -258590285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211211011 + 20222?\nAnswer: 212002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3829 take away -44.282848192?\nAnswer: 3873.282848192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -57677, -115382, -173121, -230912, -288773?\n\"Answer: -3*d**3 + d**2 - 57687*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/13)*y)\/y**(2\/15)*y**(5\/2)\/(y*y*y**9\/y*y))\/(((y**(-1)*y*y)\/y*y)**(2\/101)\/(y**(1\/2)\/y*y**1)) assuming y is positive.\nAnswer: y**(-137851\/19695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -13, -33, -87, -193, -369, -633, -1003, -1497?\n\"Answer: -3*n**3 + n**2 - 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 4*r**2 - 4*r - 8. Let h be v(6). Suppose -5*a = 2*a - h. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 201*y**3 - 69*y + 69*y - 3*y**3 + 4*y**3 - 3*y**3 + 2*y**3 + y**3 - 2*y**3 + (2*y + 0 + 0)*(-3*y**2 + 0*y**2 + y**2).\nAnswer: 196*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**3 - n**3 + n**3 + (2605*n - 2605*n + 24*n**2)*(-4*n + 2*n + 3*n).\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 272 = a. Let b = a - 8. Suppose -3*x = x - b. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -15. Suppose 5*j + 30 = 5*y + 15, 2*y - 3*j - 4 = 0. Sort y, -2\/7, s in increasing order.\nAnswer: -2\/7, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z + 1. Let v be q(3). Let f(a) = -v*a - 7 + 2 + 2. What is the lowest common multiple of 10 and f(-3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-264)\/20 + ((-3)\/4 - 19690\/(-1432))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -i**5\/90 + i**4\/27 - i**3\/27 - i + 2. Let l(t) be the first derivative of k(t). What is o in l(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 610879 divided by 7\nAnswer: 610879\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.8 - -13. Let f = 0.2 - 0.2. Let l = 1 + 0. What is the closest to 1 in c, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and -316863568.\nAnswer: -316863567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31 - 4. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.081 and 0.07882240112.\nAnswer: -0.00217759888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -1 + (20 - 47).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -a - a. Suppose -3*t = -w - a, -w - t = 4*w - 29. Find the second derivative of 0*s - 4*s**2 - 2*s + 6*s**2 - w*s wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c - 5. Let p be g(6). Let l = 3542 - 3539. Calculate the highest common factor of p and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -349 + 14?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.12  (b) -4  (c) 2\/5  (d) -0.201  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*u + 5*x - 6 = -46*u, u - 3*x + 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 409176?\nAnswer: 2, 3, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(-2)\/(-4)*3. Suppose -228 = 9*q - 255. Suppose -q*o - 1338 = -t*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 b when three letters picked without replacement from llbpjljlmplplphbh.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8901.173 rounded to the nearest ten?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 80 = 4*v, -4*a + 2*v + 208 + 184 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1 + p**3 - 3*p**3 + 3 + 799*p**2.\nAnswer: -2*p**3 + 799*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -226*c**3 - 498*c**3 + 728*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 0*q + 156 = 0. Suppose -2*w + q = -18. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -219b + -29462?\nAnswer: -2b630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(4 - -1*2). Suppose 0 = 10*d + 269 + 271. What is the units digit of 4\/w + (-906)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 35, 48, 59, 68?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -381 = -2*o + 5*n, -5*o + 943 = 3*n + 68. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2334625628?\nAnswer: 2, 29, 2027, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*j + 3*t = 11*j, 8 = -2*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 199558 and 678?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47, -100, -159, -224, -295, -372?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x + 5*x + 0*x. Let z(u) = -u**2 + 2*u - 2. Let d(a) = -3*a**2 + 5*a - 5. Let v(b) = -2*d(b) + 5*z(b). Determine v(o(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.6446048 rounded to 4 decimal places?\nAnswer: -33.6446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (0 + -7 + 10 + -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1360 + -1351. Solve 0 = 6*i - 3 + d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.7 + -4. Let z = 17 + -37\/2. What is the nearest to 0 in q, -4\/7, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 15*u + 5. Let f be d(-14). Let q(o) = -o**3 - 9*o**2 - 4*o - 21. What is the units digit of q(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + g - 8 = 0, 12*g - 9*g - 6 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 + 17*v + 55. What is i(16)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zeee when four letters picked without replacement from eleeeeebleeezzle.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -149 or 16706?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/32 and -63\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 - -3) + -2*1. Suppose -4*b - b - c*h + 63046 = 0, 4*b - 50436 = -3*h. Let q = 1806 - b. Round q to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54153?\nAnswer: 3, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3705.3 + 3705. Let p = -0.6 - -0.4. Which is the third smallest value?  (a) p  (b) -1\/7  (c) -0.03  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 j when four letters picked without replacement from {i: 2, j: 7, v: 9}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1289 is divided by 467.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -11. Let k = 11 - -2. Suppose -y = h - 3, 2 + k = -3*h + m*y. Solve -4*c + h*p = -p + 11, 2*c - 7 = 3*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 130705\/8  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1564 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-4*(-5*sqrt(1100) + sqrt(1100)) + 4.\nAnswer: -480*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3*g - 9 = 0, -4*g - 34 = -14. Let a(i) be the second derivative of 0 + 0*i**3 - 9*i**b - 5\/6*i**4 + 6*i. What is the derivative of a(m) wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43398\/75971 - 2\/10853. Which is the second biggest value?  (a) 0.2  (b) s  (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((81\/(-30))\/(-27))\/((-10)\/125)*1*44.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -i**7\/21 - 1513*i**4\/12 - 277*i**3\/2 - 521*i. What is the second derivative of x(n) wrt n?\nAnswer: -40*n**3 - 3026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4382 in 0.1663, 0.1, -0.1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 606 and 1083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -13, -26, -43, -64, -89, -118?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*s - 154 + 154)*(2*s + 1 - 1).\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/(-49))\/(76\/14 + -3)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16)\/(2*sqrt(8)) - sqrt(2)) + sqrt(600)\/sqrt(12) + sqrt(2))**2*-4 + (2*(sqrt(1800) - (sqrt(1800) - (sqrt(1800) - (1 + -2*sqrt(1800))))))**2.\nAnswer: -720*sqrt(2) + 64562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(558\/31)*2\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) 8\/3  (c) -2\/3  (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100011011 - -110101?\nAnswer: -10011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 127122 (base 10) in base 16?\nAnswer: 1f092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a + 15 = 20*a. Suppose 28 - 45 = -k + 3*b, 29 = 5*k - b. Solve k*z - 3*f = -6, a*z - f + 7 = -5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y**3 - 3732705*y**2 = 0. Calculate y.\nAnswer: 0, 746541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 130*n**2 - 62*n**2 + 53*n**2 - 2*n**2 + 2*n**2 + 2*n**2 + 2*n**2 + 2*n**2 - 5*n**2 + (-2*n - n + 2*n)*(0*n - n - n) to g*n**2 + q*n + v and give g.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 609894880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 + -3 + 29 - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 2*p - 5*y + 20, 0 = -2*p - y + 5. Factor -3*r - 4 - r**2 + p*r - r.\nAnswer: -(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 94163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 - -0.2. Let y = 150 + -155. Let t be (-11)\/(-21) - 12\/28. Which is the nearest to -2?  (a) x  (b) y  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15182104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -16 - (-583 - -420)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 10*d - 207. What is j(0)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 64*g + 345*g + 4*g**3 - 88*g**2 - 173*g - 152 = 0.\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/70 and -46\/91.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8551 = x + 4*q, 5*x - 4*x + 8549 = -3*q. Let a = x - -102415\/12. Calculate the common denominator of 9\/(-12) + (-396)\/(-64) and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(22)\/sqrt(2) + 2) - -2*((sqrt(539) - -2*sqrt(539)) + sqrt(539) - sqrt(539) - sqrt(539))**2 - (2*sqrt(110)*3)\/(sqrt(90)\/sqrt(144))*1.\nAnswer: -20*sqrt(11) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(91) + (sqrt(91) - 5*sqrt(91)) + sqrt(91)) + sqrt(91))\/(sqrt(7) + 4*2*sqrt(7) + sqrt(7) + sqrt(7)).\nAnswer: -3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = -4*r. Let u(b) = -3*b + 5 + r + 2*b - 4*b. What is the tens digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122427056 divided by 140398\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -1 - a**3 + 0 - a**2 + a + 0*a - a**6. Let g(y) = y**6 + 2*y**3 - 2*y + 2. Let l(z) = g(z) + 2*j(z). Find the third derivative of l(d) wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 6*o**2 + 12*o - 17. Let a be d(-11). Suppose 3*b + 0*b = a. Suppose 5*r - b - 1259 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 2:00 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 243728273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 - 13*g - 3. Let j be u(7). Suppose 5*l + 0*w + j*w - 25 = 0, 5*l - 2*w - 25 = 0. Sort 12\/7, -0.4, -4\/9, l in increasing order.\nAnswer: -4\/9, -0.4, 12\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 11851.\nAnswer: 118510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t. Suppose -3*n - 14 = -5*h, 2*n = -2*h - 3*n - 13. Let y be r(h). Suppose y = -k + 12. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -200056 by 25007.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -132300121 (base 4) in base 15?\nAnswer: -274d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1220 less than 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 12014590?\nAnswer: 72087540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*w - 4 + 4)*(3*w - w - 3*w) - 22*w**2 - 72*w + 72*w + (-16 + 16 + 16*w)*(-w + 1 - 1) to the form s + c*w + f*w**2 and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - 8*i + 0*i)*(2*i - 3*i + 4*i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -882356 rounded to the nearest 1000?\nAnswer: -882000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 19. Let f(l) = -3*l - g*l + 3*l + 2*l + 7. Give f(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3*m + 2. Let c be q(-1). Suppose 0 = -3*d - 0*d - 2*g + 371, -c*d - 5*g = -620. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 1320 = -428. What is the remainder when x is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*m = 3115, -3*z + 2*m + 1542 + 302 = 0. Suppose 0 = 2*n - 3*b + 255, b + 0*b = 5*n + z. What are the prime factors of n\/(-12) + 2\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2*g + 8 = g, -g = -2*i. Suppose -18 = -i*f + 5*s, 0 = f - s - 16 + 4. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/2*(-4 + (-168)\/(-35)). Put l, -3, -4 in descending order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 3*g + 51. Let j = 645 + -636. Let o be u(j). Sort -25, -5, 4, o in increasing order.\nAnswer: -25, -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 = -2*g + 10*d, -60*d - 15 = 5*g - 59*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30540 by 6.\nAnswer: -5090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -20 and 467785523112.\nAnswer: 467785523092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (((-6)\/(-879))\/2)\/(-1). Let u = -64335 - -64334. Are u and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52265, 51613, 50961, 50309, 49657, 49005?\nAnswer: 48353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 4*f = -7*f + 2*s - 8, 4 = 3*f - s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31 + (-15 - -1 - -31).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -0.2. Let k = 3.9 - 4.35. Let u = k + 4.45. What is the nearest to -0.1 in v, -3, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -105 - 75\/4*o**2 + 11*o - 7\/6*o**3. Factor d(m).\nAnswer: -(m + 11)*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 11*a**3 - 5*a + 3. Let w(l) = 12*l**3 - 6*l + 4. What is 6*o(y) - 5*w(y)?\nAnswer: 6*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 2:22 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 5*q + 3. Let r be s(5). Suppose r*z + z - 2*i = 44, 3*i = -5*z + 77. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30600*l**3 - 11559*l.\nAnswer: -183600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-66)\/30)\/((-3)\/(-3)))\/(((-24)\/(-2))\/(-60))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 0  (b) -1  (c) -77  (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 10*t - 3. Let y be c(7). Suppose 0 = f + 2*f - y. Calculate the smallest common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 804  (b) 2\/5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.2868868 to two dps.\nAnswer: -3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 2\/23  (c) -4\/5  (d) 0.4  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*(z*z**(-2\/5))\/z))\/(z*z**(-4))*z\/z**(-11\/4)*z**3 assuming z is positive.\nAnswer: z**(203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22727 = -114*n + 665*n + 655*n - 64105 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 143133, 286168, 429203, 572238?\n\"Answer: 143035*j + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(891) + 5 + 2 + -4)*5.\nAnswer: -90*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -1, 49, 2, -560\/57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 616, 613, 612, 619, 640, 681, 748, 847?\n\"Answer: g**3 - 5*g**2 + 5*g + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, -0.01505, -2\/21?\nAnswer: -0.01505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of j**7\/105 - j**6\/120 - j**5\/4 - j**4\/12 + j**2 + 1. Find the third derivative of d(p) wrt p.\nAnswer: 48*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*g + 13*g - 12*g + 5*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1137.609 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -35*y**2. Let u(o) = 2*o - 202. Calculate u(m(c)).\nAnswer: -70*c**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1011222011101 (base 3) to base 15\nAnswer: -c669a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -3*f**3 - 2*f**2 - 20. List the prime factors of z(-6).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -3*q - 2*s, 0*q + 14 = -q + s. Is q at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 55 = 4*j - 0*j - 2*c, -284 = -5*j - 3*c - 215 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**4\/3 - 68*j**3\/3 + 56*j**2 + 1040*j\/3 + 800\/3 = 0. Calculate j.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**3*y*y*(y**3\/y)\/y)\/((y*y*y*y\/((y\/(y\/(y**(3\/5)*y)))\/y))\/(y*y\/(y**(1\/4)*y)))*(((y**3\/y)\/y)**(3\/4))**8 assuming y is positive.\nAnswer: y**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (854\/183)\/(6*20\/18). Let m = -11 - -7. What is the smallest value in o, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -83 - -79. Let u = h - -7. Find the second derivative of 85 - u*q**3 - q - 9*q - 85 wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhptthssshts. Give prob of picking 1 s and 3 h.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) 0.4  (b) -1\/9  (c) -1.1  (d) 31\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 - 7. What is the lowest common multiple of i and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60120 (base 7) to base 10.\nAnswer: 14469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, i: 1, f: 1, v: 1, z: 1, e: 1}. Give prob of sequence vs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 204, 822, 1852, 3294, 5148, 7414?\n\"Answer: 206*j**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -804, -1615, -2426?\n\"Answer: -811*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (654\/36 + -11)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = n + 5*w, -2969*n + 8 = -2964*n + w. Factor 1\/2*c**n + 8*c + 10 - 1\/2*c**3.\nAnswer: -(c - 5)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 26681 + 11341. Let x be (87\/6)\/(3\/w). Suppose -b - 81227 - x = 0. Round b to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.35 + -2.89. Let j = 1.34 + d. Which is the second biggest value?  (a) 2  (b) -5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6080912 divided by 166\nAnswer: 36632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of g**3\/3 + g + 1. Let d(y) = -2*y**2 - 3. Let s(u) = -d(u) - 3*n(u). Let w(c) = -2*c. Determine s(w(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 28.50108399 to 1 decimal place.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = d + 1 + 8, -2*z = 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*w**4 + 24*w**3 + 10*w**2 + 40007*w?\nAnswer: -96*w**2 + 144*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28191165 by 15.\nAnswer: -1879411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -2*t + 296, 0 = -3*t - 0*t - 2*p + 440. What are the prime factors of t?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13334360216 + 2?\nAnswer: -13334360214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 467814996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1113326105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 + 4*s - 29 - 3*s + 4*s to q + g*s and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1770 + 969\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 18 + 2 = 0. Let g = -1 + r. Let h be 3 - (-3 + -4 + g). Solve 2*x - 3*m = -m - 6, h = 4*x - m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4023 = -2*v - 1055, -5*n + 8490 = 2*v. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 11, k: 7, y: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 - 6*t**2 - 6*t - 6. Let f be (-145)\/116*1*4. Determine g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 63, -0.2, -3, -0.682, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 3, -5\/6, 0, -16, -0.1.\nAnswer: -16, -5\/6, -0.1, 0, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32755 - -351095. Suppose 5*x + 15*x - k = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (104\/10)\/(10\/25). Suppose 0 = -5*b - 4 - t. Let g be (b - -5)*(1 + -1). Solve g = -f + 3*j + 11, -5*f + 6*j = 3*j + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1053 and 3445?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -179.811*1\nAnswer: -179.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3679881494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42.2 + 24.2. Which is the closest to 1\/2?  (a) 0.1  (b) 0.3  (c) k  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d + 634 = 27*d. Let n = -306 + d. Let s = 8 - 4. Which is the nearest to 1?  (a) n  (b) -1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.7846082 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 2:50 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y - 18. Let x(r) = 65*r**2 - 30*r - 20. Let s(k) = 6*k**2 - 3*k - 2. Let v(o) = 10*s(o) - x(o). What is v(d(p))?\nAnswer: -5*p**2 + 180*p - 1620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + 7. Suppose 0 = -3*s - 3*k, 3*k - 2*k + z = 2*s. Suppose 0 = -m + 5 - 2, -114 = -3*v - s*m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5136 + 5211. Solve b*j = 70*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 5:44 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 16) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5c + 1933b?\nAnswer: 192ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 404472587.9 + -404465746.280133. Let o = c + -6841. Let z = o + -0.62. What is z rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9600412.\nAnswer: 2, 137, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 2*x - 600263, 0 = 9*y - 13*y + 5*x + 800343. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxaeeeexaexaexaxx. Give prob of picking 1 x and 2 e.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/27*(10\/(-4) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h - 2. Let t be u(-10). Let w = -18 - t. Let n(i) = -i + 5. Give n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/15)\/((-4)\/6)*-121. Suppose 0 = -52*s + 41*s + t. Suppose -4*k + 5*m + 5 = 0, 0 = -k - 2*k + 5*m. Solve -2*r + 2*x = -5*r + 4, 3*r - s = k*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -35*g**4\/4 - 21*g + 18. What is the first derivative of z(b) wrt b?\nAnswer: -105*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 - 1045*i**3 + 1050*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/5546359 or 1?\nAnswer: 1\/5546359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1330\/76)\/((-10)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -3*u - 5*o - 318, -4*o + 336 = 4*u. Calculate the remainder when 133 is divided by u.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13024548 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3664\/13 + -282. Are -1 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2391.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 3:01 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 210 - 1054\/5. Let i(f) = -3*f**2 + f. Let k be i(1). Let t be (k\/8)\/(2\/(-8)). What is the second smallest value in t, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/134912 and 143\/1152?\nAnswer: 1214208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10004568 + 0.\nAnswer: -10004568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -79520 divided by 560?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/9*(-18)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(10\/11)*z*z*z\/z**(-30)*z*z)\/(z**(1\/23)*z*z**(3\/5)) assuming z is positive.\nAnswer: z**(42311\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 5*o**4 + 152230*o**3 + 1158241865*o**2 - 6953561940*o + 10432398420 = 0?\nAnswer: -15226, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 620432 and 1088?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/177904069?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 10*z - 1008. Let l = z - -16. Let s = -102 - l. Solve 4*v + 8 + s = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**5\/20 + w**4\/16 + w**3\/6 + 1. Suppose g(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 11:14 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert a99ba (base 15) to base 13.\nAnswer: 15b341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-2) + (-11)\/(-2). What is the third derivative of 2*o**2 - 4*o**6 + k*o**6 - o**6 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 0, g + 0*g = -4*z + 812. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*8\/(-12)*(-3 + 2). Let h(o) be the third derivative of -o**5\/30 - 5*o**4\/24 - o**3\/3 + o**2. Determine h(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 4)*(-5*y + 0*y + y)*(-54 - 83 - 310)*(-4*y**3 + 1 - 1).\nAnswer: -28608*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.9643 + -0.0357. Let s = 46\/9 - 47\/9. Which is the third smallest value?  (a) 2\/13  (b) s  (c) p  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10\/15 - (-12)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 0*a + 1\/60*a**5 - 1\/2*a**3 + 9*a**2 - 1\/4*a**4 + 0. Let i(f) = -f**2 + 4*f + 5. Let z be i(4). Calculate y(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 238010286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 3:59 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from lsslslsllnl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43898 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6445.81 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 8 = -3*o, 2*o + 2 = 3*i + 9. Suppose 10*f + 72 = 7*f. Let b be 9\/2*16\/f. Which is greater: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**0)**4\/(j**(1\/2)\/((j**(-5)\/j)\/j)))\/((j**5*j**(-3))\/(j**2*j)**16) assuming j is positive.\nAnswer: j**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 4*p - 273 = 0, -4*f + 3*p - p + 386 = 0. What is the remainder when f is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -62593, -62349, -62417, -62953, -64113?\n\"Answer: -26*x**3 + 426*x - 62993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71336059 is divided by 492?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d + 7 = -28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -86*m**2 - 10 - 504*m**2 + 241*m**2 + 4*m + 10 as h + g*m + r*m**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 51 - -85. Suppose -5*v = -u + 16. Let x = 96762 + -96746. Calculate the remainder when v is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -647121\nAnswer: 194136.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -l**8\/8 + l**6\/15 - 49*l**4\/6 - 3*l - 7. What is the third derivative of g(b) wrt b?\nAnswer: -840*b**3 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q - 5*q + 2*q. Let m(c) be the second derivative of -c**4\/3 + 5*c**3 - 59*c. Let r(l) = l**2 - 3*l. Let t(n) = -m(n) - 10*r(n). Calculate x(t(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 + -5. Let x = 46 + q. Solve 6*o - 3*o - 4*p = 11, -4*o + x = 4*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 - 265973229*d - 265973232.\nAnswer: 3*(d - 88657744)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(396)*2*6)\/sqrt(12)*-1)\/(sqrt(11) - 1*sqrt(99) - 3*sqrt(44)).\nAnswer: 1 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (588\/(-8))\/(-3) - (-4)\/8 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 1:19 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 12283314 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 147986, 296198, 444412, 592628, 740846, 889066?\n\"Answer: r**2 + 148209*r - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5384 is divided by 154?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 11 + 9)*(-1 + 1 - 2*x + (2*x - 1 + 1)*(1 + 2 - 1)) + x + 2*x - x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 10, -5*w = -3*u - 317927 + 112921. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 7*z + 56. Give c(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, f: 2}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 92 = -o - 109, 3*o = 2*p - 203. Suppose -5*c + 53 = 2*v, 0 = -4*v - 9*c + 5*c + p. What is the remainder when 107 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.54575s in hours?\nAnswer: 0.000429375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 669\/892 - (905\/(-20) + -5 - 3).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -7\/293, -2\/5, 121, 3?\nAnswer: -7\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 143?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3.98  (b) 2\/3  (c) 8  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 296586 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: Evaluate ((-630)\/10)\/(-9)*2\/((-392)\/(-2436)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*n + 42160 = -497*n + 4360 for n.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1422\/(-316)*(4\/18)\/(6\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 5) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 + -19. Let y = 9 + c. Let g = 27.999974 - y. What is g rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 600949\/167700 + 2\/4. Let i = v + -2\/13975. What is the common denominator of 22\/16*(1 + 0) and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 8) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -166*n - 27. Let o(y) = 50*y + 9. Calculate 4*g(q) + 11*o(q).\nAnswer: -114*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) + sqrt(108)*2*2 - -5*(sqrt(108) + 0 + sqrt(108) + sqrt(108)))*6 + 5)**2.\nAnswer: 7200*sqrt(3) + 1555225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1523493 is divided by 190434.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1028340 divided by -10.\nAnswer: 102834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92968, 185216, 277464, 369712, 461960, 554208?\nAnswer: 646456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 194355072 and 4049064.\nAnswer: 194355072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 4. Let f(l) = -l**3 - l**2 + 2*l + 3. What is f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 34819?\nAnswer: 34819.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109601*m + 98924*m - 208522*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (84\/32)\/((-153)\/816)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 3, z: 1, f: 4, p: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 - 3*q + 1. Let b(t) = 6*t**2 + 17*t - 6. Let y = -46 + 80. Let i(u) = y*x(u) + 6*b(u). Factor i(z).\nAnswer: 2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6808*s + 13654*s + 3*s**3 - 6846*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(2880)*3)\/((sqrt(4) - sqrt(16)\/sqrt(36)) + sqrt(256)*1).\nAnswer: 162*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**2 + 0*y**2 - 5*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -29 + 6 + 9*f + 35 as q + x*f and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294*q + 2041 + 327 = -750*q - 5840 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ab9 + -ac6?\nAnswer: -157f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 436460 and 1884.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of 1\/2*h**2 + 0*h + 1. Let a(i) = -12*i**2 - 6*i - 24. Let d(x) = -8*x**2 - 5*x - 20. Let t(s) = 5*a(s) - 6*d(s). Give t(p(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -538 - -788. Let g be (j\/6)\/(10\/(-465600)). Round g to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - -14. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/640 and 7\/18.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -17. Suppose 48 = 3*p - 2*v, -g*p + 2*v = -6*p + 60. Let a be (-90)\/(-10)*4\/p. Solve a*y = 8 - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -11771\nAnswer: -9\/11771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.535709 milligrams to micrograms.\nAnswer: 3535.709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2110 - -1.60324.\nAnswer: 2111.60324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15951990.\nAnswer: 2, 3, 5, 257, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6598 divided by -173?\nAnswer: -6598\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 74 - 54 = 0. Let v be (-4*(-1)\/(-6))\/(g\/(-18)). Let b be (-5)\/(-15)*v\/8*2. Sort -0.7, 3, b, -1\/7.\nAnswer: -0.7, b, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/(h*(h\/(h*h**(-7)))\/h)*h)\/h)\/(h\/(h**(-2)*h)))**(-1))**(4\/3) assuming h is positive.\nAnswer: h**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 4093191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -5. Let g = o - 0. Suppose g*h = -20, -33 = -d + 3*h + 59. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*1 + 90\/42)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 6*m = 2*m + 517, 1 = m. Let f be c\/(-33) + 4\/22. Let n be -23 + 20 - 2\/(-1). Is f <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 36\/(-3)*(3\/12 - 4). Calculate the highest common divisor of k and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 14*l = -3*l. Solve x = 2*v + 3*v + 3, x - 2*v = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 2013136522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-2)*-4 - 1. What is the units digit of (q - 3) + (10 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + (2 - 19\/(-18)) and (14\/133)\/((-624)\/(-1328) + 3\/(-3)).\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42.03 - -37.03. Which is the third smallest value?  (a) -1\/2  (b) -3\/23  (c) -2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 18 = -u, 2*u + 3*u + c = 5. Let n(a) = 3*a**2 + 6 - a**2 - 3*a**2 + 7*a + 0*a**u. Is 18 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284*q + 236362102 = 39168122. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 5*u + 629, -4*t - 5*u + 3350 = 859. Calculate the remainder when t is divided by 175.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*s + 36*s + 448 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6274*a - 2130*a - 1645*a + 6050*a.\nAnswer: 8549*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 310321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36da7 (base 16) to base 4.\nAnswer: -312312213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 3:38 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rkprf. What is prob of sequence rfkr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i = -i + 249 - 247 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 660205.7 rounded to the nearest one thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -h**3\/3 + 1273*h**2\/3 - 119800*h\/3 + 977500 = 0.\nAnswer: 50, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**2 + 566*o + 30395. Calculate g(-72).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3*c + 203. Let h(x) = -6*x - 201. Let j(a) = 5*h(a) + 4*p(a). Let g be j(-11). Solve -k + q = 9, 2 = 4*k - g*q + 43 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 r when three letters picked without replacement from {r: 8, h: 2, i: 3, n: 4}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 371*g + 377*g - 749*g + 1859 - 1859.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -91364025659 - -4068?\nAnswer: -91364021591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -30*j - 10*j + 9*j + (0 - 1 + 0)*(1 - 2*j - 1)*(1 - 7 + 0) + (-2 + 3 + 1)*(0*j - 4*j + j).\nAnswer: -49*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 4)\/((-10)\/5). Suppose 2*h + 5*g - 6 = 0, g - m*g + 6 = h. Let v = h - 5. Solve 0*d + v*z = d + 4, 0 = 4*z - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 - 175 = -80*o + 288. Let q(l) be the first derivative of l**2\/2 + 10*l - 3. Let b(j) = -4*j - 30. Determine o*q(v) + 2*b(v).\nAnswer: -v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4157, -17953, -41391, -74471, -117193, -169557?\n\"Answer: -4821*t**2 + 667*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.982454 + -524.9.\nAnswer: -533.882454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 304 + -303.999723. What is q rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11095562 - 0.02166\nAnswer: 11095561.97834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + 3 - (53 + 3)) + 24 + -45 + 22.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-8)*v*v*v*v)**(2\/3) assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-2\/7))\/x)\/x*x)**33*x**8\/(x\/((x**(-1\/4)*x)\/x)) assuming x is positive.\nAnswer: x**(-75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -33 in 0.3, 1\/5, -1\/4, 5, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 5.7?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/5 - 21948*r\/5 - 3089414\/5.\nAnswer: 2*(r - 11113)*(r + 139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 102351524 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3452030 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + -38 + 65 + -33.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1250*f**2 + 110861*f*l + 806315*l + 92 wrt f.\nAnswer: -2500*f + 110861*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((42\/12)\/(-7))\/(1\/(-2338))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*q + 22*q - 273 = 0. Suppose 5*r - 3*h = h + 25, 0 = -3*h. Suppose -4*z + r*z - 13 = 0. Calculate the highest common factor of z and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 916  (b) 1  (c) -15  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r - 17*r**2 - 6*r + 5 - 6 + 2 - r in the form d*r + j*r**2 + h and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-15)*(-130)\/(-4). Suppose -x = -4*r - 269, 2*x - 4*r - 520 - z = 0. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1922682.9 months?\nAnswer: 1602.23575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 52.67 - 10\nAnswer: 42.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 118507934 bigger than 118507935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v - 61*v + 139 - 919 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 1505186?\nAnswer: 1505189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -355, -351, -347, -343, -339, -335?\n\"Answer: 4*u - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 - 71997?\nAnswer: -71989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 72*a + 425. What is f(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 != -8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + j + 1. Let k(v) = 2*v**2 - v + 2. Let f(g) = -2*g**2 - 2. Let n(o) = 3*f(o) + 2*k(o). Determine -n(p) - 3*x(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2072\/32 - 2\/(-8). Suppose -3*b + 0*b + j = -5*d, 4*b = -4*d + 76. Suppose 7*i = 8*i - b. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.6 - -0.4. Let d = 7992 - 8010. Put 9, d, v in ascending order.\nAnswer: d, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2115 + -10576\/5. What is the nearest to 0.1 in q, -1.2, 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -b**5\/5 + 8*b**4\/3 + 13*b**3\/6 - 9*b**2\/2 + 77*b. What is the units digit of j(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 1:51 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2171 a factor of 71011239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 - -11. Find the third derivative of -a**2 + 0*a**c + 0*a**3 - 2*a**2 + a**3 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 273 + 31. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of 0*o - 121\/6*o**3 + 19\/180*o**5 + 26*o**2 + 2 - 55\/72*o**4 - 1\/360*o**6. Factor v(w).\nAnswer: -(w - 11)**2*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000079236 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1c707 + -fe?\nAnswer: 1c609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -5669 and -5672 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 1:28 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 3 - 8. Let p be 0 + d + (-4 - -3). Is (161 + 18)\/(1 + p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.81828m to micrometers.\nAnswer: 88818280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (112\/49)\/8 - (-10)\/112 - 2540\/32?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - -1102112220111?\nAnswer: 1102112220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -4*m - 24, -2*m - 1 = 5*d - 10. Let h = -21 + 55. Suppose -4*z + d*z = -h. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.620378ml?\nAnswer: 0.005620378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4664*d**2 - 223 + 8*d - 318 + 3980*d**2 - 8*d wrt d.\nAnswer: -1368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8 + 6 - -5)*1. Solve -4*q - 3*u = f - 1, 3*u - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/8)*n**9*(n*n**(-2\/27))\/(n\/n**(-1\/8)))**9 assuming n is positive.\nAnswer: n**(455\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*h - 2*h + h)*(-7*h + h + 1 + 2*h)*(2*h**2 + 4*h - 4*h) + (-3*h**4 - 5*h**4 + 5*h**4)*(1 + 0 - 3) as t + w*h**2 + a*h**3 + x*h**4 + o*h and give x.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 20 and -24351161.\nAnswer: -24351141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/45*21)\/((-48)\/72)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1210200210 + -10022?\nAnswer: 1210120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -1239*q - 894*q + 4 - 933*q - 920*q + 728*q as j + a*q and give a.\nAnswer: -3258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 21 = -4*g, 3*g + 2959*z = 2960*z - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -8137, 0, -9, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 2. Let d = 1 + l. Suppose 2*z + 5 = -d. Is -4 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14386481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-10)\/((-350)\/(-63)))\/((-12)\/20). Find c such that 136\/3*c**q + 20\/3*c + 76\/3*c**2 + 2\/3 + 38*c**4 + 12*c**5 = 0.\nAnswer: -1, -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/54)\/((-3)\/45). Suppose 3*t - 5*t + 52 = 0. Solve -l*j + t = 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (328\/(-112) - -3)*-4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v - 7. Let r be u(9). Suppose 5*m - r*y = 22, -5*m + 4*y + 26 = 3*y. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 707778 = 125*a + 132*a. Is a a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1810323 + -5554070853\/3068. Calculate the common denominator of 57\/40 and l.\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 13. Let z(c) = 2*c + 9. Let h be z(g). Is 9 a factor of 12\/(1\/(h\/(-2)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.1  (b) 7532  (c) 0.5  (d) -0.095\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/9)*(m\/(m*m*m\/(m*m**(1\/2)))*m)\/m*m**8*m**7)\/((m**(-5)*m)\/(m*m**6*m)*((m\/(m*((m\/(m\/m**(2\/9))*m)\/m)\/m)*m)\/m)**(-2\/87)) assuming m is positive.\nAnswer: m**(41353\/1566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14920460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 28\/5, -1, 0.106, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-3 + 10) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-1)\/(-6)*6615\/(-294).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 13*o**2 + 3*o - 12. Let y be g(13). Suppose -4*z = 5*d - 37, z + 2 = 3*d - y. Solve 4*f = -k - d, 4*f - 3 = 2*k - 7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -10*x**2 - 563*x + 990. Calculate s(-58).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 9*n - 33. Suppose 3 = -u, -101 = -3*b - 4*u - 26. What are the prime factors of q(b)?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82939 divided by 5?\nAnswer: 82939\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 584\/9 - 65. Let o = 44 - 43.98. What is the nearest to -0.1 in -4, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 10 = -a. Let n = 34 - -11. Suppose 4*s - a*g - n = -8, 5*s - 10 = -g. Solve -2*j + 3*f + 3 + 4 = 0, 5*j - s*f = -5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 56*m + 670. Let w be b(-12). Let r = 10 - 7. Put -1, w, r in increasing order.\nAnswer: w, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 - 53. Suppose 0 = 7*t - 10*t + 39. Put -1, t, w in decreasing order.\nAnswer: t, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (19 - 9) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -29*u**2 + 53*u + 12. What is r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6099387*i**4*s - 4230*i*s + i - 16*s wrt i.\nAnswer: 73192644*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - d = -20. What is the third smallest value in -5, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3006*x = -3*y - 3002*x + 24, -16 = -2*y + 4*x for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*g = 4922, -8*c - 10913 = -19*c - 5*g. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -23 and 15114.\nAnswer: -347622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/5 - 88*q\/5.\nAnswer: q*(q - 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -114 + 134 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -160181929665+-6\nAnswer: -160181929671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -76*r**3 + r**2 + r. Let t(i) = i**3 - 13*i**2 + 13*i + 4. Let q be t(12). Suppose 0 = -m + 15 - q. List the prime factors of j(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 PM and 9:33 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39\/(76752\/160)*4*(-10)\/200?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -0 + 9. Suppose -45 = -m*d - 0*d + 3*g, -3*d = -5*g - 41. Let a = -607 + 760. What is the greatest common divisor of d and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-32)\/(m*m\/(m**(-6\/17)\/m)) assuming m is positive.\nAnswer: m**(-601\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*m + 5*m - 4*m + (-2 + 0 + 4)*(m - 4*m + 5*m) - 2*m - 14 + 14)*(8*m**2 + 8*m**2 - 5*m**2) in the form j*m**2 + h*m + a*m**3 + g and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 162720 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -10*d - 9. Let b(c) = -5*c - 5. Let o(z) = 5*b(z) - 3*u(z). What is the derivative of o(y) wrt y?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 64350*h*v*x**2 - 85*h*x**2 + 2*v*x**2 + v + 159*x**2 + 14*x - 32 wrt h.\nAnswer: 64350*v*x**2 - 85*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11496 + -11496. Let v(r) be the second derivative of s - 3\/2*r**4 - r**2 + 0*r**3 - 19*r. Find the first derivative of v(p) wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4645 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -295 + 1.76.\nAnswer: -293.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 306548959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 474.5 - 476. Let n = 0.0877 + 1.4793. Let k = n + d. Round k to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 825 - 816. Let a be (-27)\/(-72) - d\/24. Let 1\/6*z**5 + 1\/12*z - 5\/12*z**2 + 3\/4*z**3 + a - 7\/12*z**4 = 0. What is z?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 14395543 - 3*q - 14395543. Suppose 3*c - 2 + 5 = 0. Let n be c - (12 + -3 - -1). Let z(h) = 5*h. Determine n*k(u) - 6*z(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1225175?\nAnswer: 5, 7, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1158534 not equal to 1158511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13123222 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*p - 58*p - 48 = 0. Which is the nearest to p?  (a) -2  (b) 3\/7  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115439923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -l**6 - 3*l**5 - 60*l**4 - l**2 + 1065*l wrt l.\nAnswer: -120*l**3 - 180*l**2 - 1440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29520 and 213405?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39 + -25. Let m(x) = 17*x - 47. Is m(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2167*q - 56500 = -2078*q + 1420*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + -25. Suppose -5*v + p = -2*k, k - 8 = -3*v + v. Let a(t) = -42*t**2 + 20*t**2 + 26*t**v. Let q(m) = -4*m**2. Determine q(a(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -1 + -1 - (0 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -17*f**2 - 7666*f + 3821*f - 2 + 3845*f. What is z(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -80232, 3, 4, 43 in decreasing order.\nAnswer: 43, 4, 3, 1, -80232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 3*o + 20, 5*d + 1409 = 3*o + 1386. Let z = 0.04 - 0. What is the biggest value in z, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 9*s**2 - 19*s + 1. Let p be x(6). Does 8 divide p + (54 - -3) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 124 + -135.94. Let k = o + 9.9. What is k rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12032222 + -124?\nAnswer: -12032401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1084*l**2*x + 916*l**2 wrt x.\nAnswer: -1084*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/((-66)\/(-8)) - (32\/(-12))\/2. Is f at least as big as -3\/100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -2016\/1427?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 1)\/(4\/22). Let m = 139\/5 - 28. What is the common denominator of (i\/18)\/((-2)\/42) and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((35\/(-10))\/1)\/((-45)\/180))\/1. Let v be (4\/10)\/(1\/5). Solve -3*x + 0*f = -2*f - 22, v*f = x - t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**4\/13 + 516*w**3\/13 + 518*w**2\/13.\nAnswer: -2*w**2*(w - 259)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 43 = -33. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -43592730 to the nearest one hundred thousand.\nAnswer: -43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 43 + 10 = 0. Let c be 18\/(-8)*(-44)\/h. Solve 5*u + x - 15 = 0, -x = -5*u + c*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-3\/5))\/z)**(26\/7)*((z\/(z**(-1\/9)*z))\/z)\/(z\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(113\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/3 + 1)*-36. Let o be ((-8)\/10)\/((-2)\/35). Let i be (-10)\/(-35) - p\/o. Solve 4*c - 5*g - 15 = -0*g, i*c - 15 = -5*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10100110010100001 (base 2) to base 9\nAnswer: -138724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*o**2 + 1030*o - 3618 + 2*o**2 + 2754 + 1889 = 0. What is o?\nAnswer: -205, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66353 (base 10) to base 7.\nAnswer: 364310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) -3  (c) 3  (d) -15.8  (e) -0.3  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-39 - -34) + (6 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 83, -1, 1 in increasing order.\nAnswer: -4, -1, 1, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3985*s**2 + 171232 - 16288*s**2 - 171232.\nAnswer: -12303*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 124 = 32. Let h = -37 - x. Solve 2*a - 5*m + 2*m - 1 = 0, -h*a + 5*m + 7 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1167096 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1245786 is divided by 6964.\nAnswer: 6194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 9:54 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/9)\/((u*u\/(u*u**15*u))\/u)*(u*u**(-3\/7)*u)**(-29))**(-16) assuming u is positive.\nAnswer: u**(29696\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -u**6\/360 + u**5\/36 - 7*u**4\/72 + u**3\/6 - 2*u**2. Factor i(a).\nAnswer: -(a - 3)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0648 * -3\nAnswer: 0.1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 16*s. Let p(q) = -40*q. Suppose 2*z = -5*i + 23, 5*i + 10*z = 13*z + 28. Determine i*p(o) + 12*r(o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**2 + 3*x + 2. Let h(r) = r**3 + 3*r**2 - 5*r - 3. Let p(j) = -3*h(j) - 5*t(j). What are the prime factors of p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (18\/15)\/(4\/10). Suppose j*b = 8*b - 15. Suppose 0 = 2*n + b*n - 10. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111000010100010111101 (base 2) in base 8?\nAnswer: 7024275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 222021 (base 3) in base 8?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24 - -110410?\nAnswer: 110434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 10 = -2. Let a(k) = -k**3 - k**t + 10*k**2 - 7*k - 1 - 4. Let z be a(8). Solve r + z = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**24*t**(-3\/29)\/t*(t**(-13))**(-38) assuming t is positive.\nAnswer: t**(14990\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 181 = 5*y - 2*a, 46*y = 49*y - a - 108. What is the highest common divisor of 2240 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2. Let r(l) = 405*l + 3. What is r(k(x))?\nAnswer: -405*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of k**4\/78 - 4*k**3\/13 - k**2 + 42*k. Find h, given that p(h) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -9.7. Let c = 8.102 + 0.198. Let x = c + q. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72, -21, -57, -32, -1.\nAnswer: -57, -32, -21, -1, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by -38?\nAnswer: -17\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16423 - -16432. What is the smallest value in f, -0.155, 0?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2*s**3\/7 - 41922*s**2\/7 - 1465120*s\/7 - 6277800\/7 = 0.\nAnswer: -20926, -30, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2156267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q = -g - 20, -15*q = g - q - 9*q - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -191041*t**4 + 113*t**2 + 24*t + 9.\nAnswer: -4584984*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 404349 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, o: 5}. What is prob of picking 1 o and 1 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s = 40*s - 1764. Calculate the smallest common multiple of s and 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -10. Differentiate d**4 + d**4 - 1 - 4 + j wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1272 + 1296. Let w = -35 - -103. What is the remainder when w is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*b - 7348 + 6413 = 0. Solve 71*j - 60*j = b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 12:38 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2049597 and 2640?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.23288, -1\/375, -0.3.\nAnswer: -2.23288, -0.3, -1\/375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**2 + 24*j**3 - 96*j + 34*j**4 - 6*j**2 - 32*j**4 = 0?\nAnswer: -12, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 161221050 divided by -5\nAnswer: -32244210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -317 + -145. Let d = 3 + 11. Let y be 6\/d + 170\/i. Is y > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.467384 litres in millilitres?\nAnswer: 3467.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49308*h**5 + 214*h**4 - 166804808*h.\nAnswer: 986160*h**3 + 2568*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 4*n - 8. Let g be k(-6). Suppose -b - 4*r = -4*b + 169, -114 = -2*b + g*r. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -599, -309 in ascending order.\nAnswer: -599, -309, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2319\/92 or 25?\nAnswer: 2319\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) 0.09  (c) -0.099  (d) -28  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, -1433, -97 in ascending order.\nAnswer: -1433, -97, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18045313 divided by -143.\nAnswer: 126191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, p: 5}. What is prob of picking 3 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 3 = a, -5*a - 9*m + 5*m - 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/18 - (-11)\/(-3). Find the common denominator of (-207)\/15*(-5)\/c and -23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -209 or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3746  (b) -1\/7  (c) -2\/1901  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -114840017.\nAnswer: -11484001.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + ((-78)\/15 - (-22 - -17)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -178, 0, -3, 2\/15, 2 in decreasing order.\nAnswer: 2, 2\/15, 0, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 9 = 5*v. Let u be (-4)\/(-6) - (-12)\/v. What is the greatest common factor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 5*f - 22. Let w = f - 6. What is the units digit of 66\/10 - (-2)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -18\/7195 not equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53533 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -63*h + 59*h. Solve -26 + h = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -1 + -26 + 20 + (-15 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 157453237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2885 by 577.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 + 10*s - 169. Let c(w) = w**2 + 12*w - 168. What is 5*c(n) - 6*i(n)?\nAnswer: -n**2 + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3547, -3075, 1419, 9935, 22473, 39033, 59615?\n\"Answer: 2011*b**2 - 5561*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 640 a factor of 619520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of u**2 - 5\/3*u**3 + 1\/12*u**4 + 0 + u. Let w be y(10). Calculate the highest common divisor of w and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 20*c**2 - 23*c - 28. What is the remainder when (-2 - 8)\/2*(-11 - -3) is divided by h(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, 2, -3.8 in descending order.\nAnswer: 2, 1\/4, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 576 - 578. Sort -86, s, 0 in descending order.\nAnswer: 0, s, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266199?\nAnswer: 3, 89, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/2, 2\/7, 3, 8\/37, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 417046, 834191, 1251548, 1669225, 2087330, 2505971, 2925256, 3345293?\nAnswer: 3766190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3*p - 72. Let m = -15 + -4. Let s = m + p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-83)\/(12782\/(-220)))\/((-10)\/(-14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -f + 441, -4*x = -5*f - 5*x + 2037. What is the remainder when f is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - 7. Let g be ((-291)\/485)\/(2 - (-33)\/(-15)). Give c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/757957 and 107\/4596.\nAnswer: 9095484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -16  (c) -15  (d) -57  (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**2 - 186*g + 185*g - 18*g**4 + 1 + g**4 to f + o*g**3 + n*g + s*g**2 + l*g**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-4))\/((-2)\/8). Let a(g) = g**2 - g - 9. Let x be a(4). Suppose x*o = 2*o + 5*o. Solve 0 = -o*r + 4*r + 5*k + 31, 2*r - d*k = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*w**2 + 4 - 4.\nAnswer: 156*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -40.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 21279989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -59, -36 in ascending order.\nAnswer: -59, -36, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -1\/24*g**4 + 0 - 4*g - 1\/2*g**3 - 9\/4*g**2. Suppose n(b) = 0. What is b?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vyyyyyyvvyyyyyyyvyyy. What is prob of picking 1 v and 1 y?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262*y + 23*y + 50820 = 421*y for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*k**3 - 61350*k**2 + 1991563*k wrt k?\nAnswer: -24*k - 122700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/2 - (-10)\/(60\/27). Which is greater: 1\/13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 391 divide 257057526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c*i**3*x**3 - 2*c*i**3*x**2 - c*i**2*x - 2*c*i + 6*c*x - 5*i**3*x + 2*i*x**3 wrt i?\nAnswer: 6*c*x**3 - 12*c*x**2 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -195.9\nAnswer: -391.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10201 + 2?\nAnswer: -10155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2666623 - 9?\nAnswer: -2666632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yu when two letters picked without replacement from yuyyyyuyy?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 + 54 = 4*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 3, 174, 73 in descending order.\nAnswer: 174, 73, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9243 bigger than 9700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 - -4)*(48 + -1). Suppose -c*g = -44*g - 276. Let b = g + -71. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22722448 a multiple of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23\/(-46) - (-16534)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r - 11*r + 2*r - 7*r to l + g*r and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4358551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111730 is divided by 8594.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = i - 27, 3*z - 7*i + 3*i = 25. Calculate the remainder when 60 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q = -q + 553. Let y = q + -77. Let d(s) = -s**3 - s**2 + 2*s + 1. Determine d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000104036 to 7 decimal places.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*q - 5 + 95 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2416054500?\nAnswer: 2, 3, 5, 191, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -t - 16 + 44, -10 = 3*l - 4*t. What is the units digit of 8876\/21 + 4\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101 * 22345.1\nAnswer: -2256855.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x. Let a(m) = m**2 + 4*m - 2. Let o(g) = a(g) - 3*j(g). Suppose -3*t = -t + 4*b - 10, 3*b - 9 = 0. Let d = t - -1. What is o(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 22 + 3 + 1 + (-6)\/2. Suppose -d*k = -7*k - 6192. List the prime factors of k.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/10 + (-8)\/10. Factor -2\/5*i + c*i**3 + 0 + 0*i**2.\nAnswer: 2*i*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130) + sqrt(130) + 2*sqrt(130) + sqrt(130) - sqrt(130))\/sqrt(10) - (sqrt(13) + (-4*sqrt(117))**2 + sqrt(117)) - 1*(-4 + 2*(sqrt(52)\/sqrt(4))**2).\nAnswer: -1894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*w - 403 = 61*w - 106*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -110.61 + 110. Round z to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**3*j**3*s - 2672*d**3*j*s**2 - d**2*j**3*s**2 + 4*d**2 - d*j**3 + 89*s**2 wrt d?\nAnswer: 12*j**3*s - 16032*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -295, -296, -297, -298?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 7*w + 1012. Calculate the least common multiple of 1843 and n(-144).\nAnswer: 7372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -2\/9, 2, -4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/26 + 324990\/(-65). Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6650358 divided by -3\nAnswer: -2216786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**3 - 2*g**3 + 0*g**3)*(-3*g**2 + 4*g**2 + 4 - 3) - 15*g**2 + 1711*g**5 + 1692*g**5 - 3440*g**5.\nAnswer: -38*g**5 - g**3 - 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (6\/48*-4)\/(((-99)\/4)\/9)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of 1\/60*m**5 + 53*m**2 + 0*m + 2 - m**3 + 1\/24*m**4. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 + 428*i\/3.\nAnswer: 2*i*(i + 214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 9:54 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + n**2 + 5*n - 70. Suppose -3*t - 3*g + 84 = 0, -g - 180 = -5*t + 2*g. Let u = t + -27. Give a(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31343.\nAnswer: 13, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 9) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + (sqrt(136) - -1*sqrt(136))*1) - 4*sqrt(136)*1)\/(sqrt(8) + (sqrt(88)*-2)\/sqrt(11) + sqrt(72)\/(-1*sqrt(9))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 154915 or 154917?\nAnswer: 154917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 - 15. Suppose f + 22 = u. What is the lowest common multiple of 3 and u?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 5*s. Let b(t) be the first derivative of -10*t**3\/3 + 65. Calculate r(b(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251 + 491*k + 476 - 490*k**2 - 225.\nAnswer: -490*k**2 + 491*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11112100 - 0?\nAnswer: 11112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 134 + -89. What is the nearest to p in -0.3, 3\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43.14 - -44. Let n = s + -13.46. Round n to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2)\/a**(-2)*(a*a*a\/(a*a*a**(-1)*a)*a)\/(a*a\/(a**8\/a)*a) assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110010110111 - 0?\nAnswer: -110010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 52 - 40. Let k be 8\/h*1287\/6. Let i = 235 - k. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.493 - 0.553. Let t = r - -0.06. Let c = 4.9 - t. What is the closest to 0 in c, 0.2, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32870 is divided by 765?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1614518.\nAnswer: 2, 807259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -4 - (4 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 6:42 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -23 + (18 - -21) + -25\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36 - 11. Suppose d = c + 36. Which is greater: -29\/3 or c?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -703 divided by -5?\nAnswer: 703\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 498\/(-9)*((-3)\/6 + 2). Let a = 116 + w. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50 + -199\/4. Factor -3\/4*c**4 + 0 - 5\/4*c**3 - 1\/4*c**2 + l*c.\nAnswer: -c*(c + 1)**2*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.992 - 135.808. Let o = 137 + p. What is the nearest to 4 in 3\/5, o, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + j**2 + 0 + 11 as b + y*j**2 + a*j and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -951*x + 3083. Is g(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6556498219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5*s + 280. Let v = -108 + s. Let h = v + 55. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -512 + 179 + 174 + 172 - l**2.\nAnswer: -l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 348 - 326. What is the highest common divisor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.05720984 to 3 dps.\nAnswer: -2.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 + 8)*(-3*r + 2*r - r) + (88*r - 94*r - 353*r)*(0 + 2 + 0) in the form u*r + g and give u.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3701699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 895 = 895. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 493620 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.1 - 3. Let f = 0 - o. Let d be 3\/(-5) - 2\/(-5). Sort d, 2, f in increasing order.\nAnswer: d, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (126\/(-675)*-5)\/((-8330)\/(-1428)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 - (-1540)\/147) + (-11)\/((-385)\/30). Factor -2\/3*v**4 + c*v**3 + 54*v - 36 - 30*v**2.\nAnswer: -2*(v - 3)**3*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84 - 98 - (-40)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 22, 12, 2, -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 680 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 7*z + 2. Let g be r(6). Let d = 6 + g. Find the second derivative of 2*a - 3*a**5 - 3*a + d*a wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k + 2. Suppose -2 + 14 = 4*w. Suppose -5 = -2*n + n - 3*m, 0 = -2*n + w*m + 55. Calculate the smallest common multiple of n and t(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 at least -0.179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*u**3 + 18*u**3 - 34*u**3)*(u**2 - 2*u**2 + 2 + 0).\nAnswer: 25*u**5 - 50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39.014 + -39. Round t to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-14)\/(-3)))\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 58*j - 145 = 55*j, 7*b + 3*j + 203 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (55\/22)\/((-1)\/(-10)). Let i(x) = -x**3 + 5*x**2 - 3*x - 3. Let p be i(5). Let j = p + w. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 882?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 18.1, -1\/3, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.1 + 0.9. Which is the nearest to l?  (a) 5  (b) -1\/4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/54)\/(-36 + (-16887)\/(-468))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -1, -1\/2, 14\/5, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/23)*t*t**(-12)*t assuming t is positive.\nAnswer: t**(-232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 998 + -1001. What is the nearest to 1\/2 in y, 0, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bfbxbffofxxxfbb. What is prob of picking 2 x and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 106.0106 - 106. Let z = 0.009983 - j. What is z rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 3*q + 3*q)*(-6 + 2 + 2)*(15*q + 2*q - 4*q).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -8223*z + 8220*z + 2*y, 4*y = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 + -2a120?\nAnswer: -2a115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004033948 to six decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/15*45\/(-6). Let i(k) be the third derivative of 5*k**4\/24 + k**3\/2 - 21*k**2. List the prime factors of i(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 2*f - 11 = 0, 91 = -2*i - f + 78 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 4*o**2 - 6*o + 4. Let p be x(-5). Suppose 2*r = 27 - p. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -24*(-28)\/(-105) + 6*1. Which is the fourth smallest value?  (a) -15  (b) t  (c) -0.28  (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 53479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.088 + -4.55. Let t = h + 0.572. What is t rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72360*g + 30634*g + 10382*g - 60857*g.\nAnswer: -92201*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-9) + (-346)\/(-18). Suppose 4*b + 3*u - h = 0, u - 21 = -2*b - 3*b. Solve -s = b*x + 4*s - 21, 3*s + 17 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 10:22 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1267929 or -1267924?\nAnswer: -1267929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 + 13*y - 14. Let t be n(11). Suppose -z + t = -70. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(56\/(-3)))\/((-3)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-14 - (24 - 40))\/(16\/(-1017)). Which is smaller: -128 or t?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 202441981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(72)*-4 - sqrt(72))*-6)\/sqrt(8))\/(3*3*sqrt(3)*-4).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**3 - 1. Let d be r(1). Let h be d\/6 - (-11)\/6. Let t = -3 - -3.3. Which is the nearest to -1\/4?  (a) h  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, m: 1, x: 1, d: 3, o: 3, n: 2}. What is prob of picking 1 n, 1 o, and 1 m?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7275 and 43050.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 2866383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -194*g - 8. Let m(t) = -33*t - 2. Let o(z) = f(z) - 6*m(z). Let i(s) = 3*s + 3. Suppose 2*k = 3*a + 19, 2*k - a = 3 + 6. Calculate k*o(c) - 3*i(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 4\/5  (c) 28  (d) 2  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-11))\/(11865\/(-7119))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1360 + 1363. Solve -6*w + 9*w - q = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18781 is divided by 354.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1203, 0, -5, -4, -3, 23 in decreasing order.\nAnswer: 23, 0, -3, -4, -5, -1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*t - 13 + 13)*(1 - 1 + 2 - 3 + 1 + 3 + 4 + 1 - 4 + (-1 + 3 + 0)*(0 + 0 + 2) + 3 - 2 - 2 - 3 - 1 + 6 - 12 + 6 + 32).\nAnswer: 420*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -71529.9172 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**4 - a. Let p(u) = -18*u**4 + 19*u**2 - 2*u. Let f be (15\/(-10) - -2)*(-4)\/2. Let c(k) = f*p(k) + 2*l(k). Find the third derivative of c(b) wrt b.\nAnswer: 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 2*y + 1. Suppose 8 = 4*w, 3*o + 50 = 8*w - 4*w. Find the common denominator of k(-7) and 8\/2 - (o\/(-5) - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.376 + 4.376. Which is greater: b or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 30*a - 25*a = -16, 2 = -2*u - a. Let i be 55\/(-4) - 2\/8. Let m be (-6)\/21 - 32\/i. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107\/66 - 21\/22. What is the biggest value in -13, j, -2\/7, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 3 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((1 - -1) + (-9 - (14 + -8)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 13\/5 - (16 + -14). What is the third smallest value in -2, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1883 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.165 minus -0.16?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 10*y + 54 = 0. Suppose y*o + 4 = 11*o. Let x be (o\/(-3))\/(-8 + 6). Sort -0.5, x, -4\/5 in decreasing order.\nAnswer: x, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -234413331 (base 5) in base 6?\nAnswer: -35222124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -10. Suppose 3*g = -3*s + 6*s + w, 3*g + 4*s - 3 = 0. Let o(d) = 4*d + 2. Let y be o(g). What is the greatest common factor of 24 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003008660401 to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f**3 - 5*f**2 + 5*f + 4. Let u(w) = w**3 - w. Let r(d) = 3*u(d) + y(d). Let z be r(-5). Let j(v) = -v + 4. Is 5 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of r**2\/2 - r + 8. Let z(q) = 7*q - 4. Calculate -6*c(o) + z(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -56, -150, -232, -296, -336?\n\"Answer: x**3 - 101*x + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**3 + 6. Let j(r) = 6*r**3 - 11. Calculate -4*j(f) - 7*u(f).\nAnswer: -3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (273\/2457)\/(5\/99)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.122828 + -0.12504. What is q rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 581005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 3  (b) 1\/3  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 394697, 789040, 1183027, 1576658?\n\"Answer: -178*w**2 + 394877*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*w - 519 + 171 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s - 1. Suppose 3*x + 3*j - 13 = -1, 2*x + 6 = 5*j. Let q be (-50)\/8 - x\/(-8). Let l be n(q). Solve 0 = 2*d + l - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 33*p**2 - 4*p + 4. Let g(d) = -4429*d + 1 + d**3 + 34*d**2 - 2 + 4426*d + 0 + 4. Give -4*g(h) + 3*x(h).\nAnswer: -h**3 - 37*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-14))\/1 + 9048\/182. Let j = p - 20. Is j > 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -2, -20.\nAnswer: -20, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -5  (b) 0.07  (c) 3\/4  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h. Let j(d) = -51*d + 758. Let s be j(15). Let x(q) = 7*q - 6 + 2 + 1. Let o(u) = -15*u + 7. Let r(y) = s*x(y) - 3*o(y). Calculate r(z(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -12*v + 2. Let w(d) = -23*d + 3. Suppose -3*s - 17 - 4 = 3*j, 5*s + 67 = 3*j. Let p(t) = s*o(t) + 6*w(t). What is the first derivative of p(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 5 - 19. Let m = 1 + 8. Differentiate -m*o**b + 0 + 1 + 16*o**4 wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1\/31, -0.2, -2 in decreasing order.\nAnswer: 0.3, 1\/31, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = q + n, -37*q + 5*n - 1 = -40*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/9 + -8\/45. Let s be ((-1)\/33)\/(1\/(-6)). Let g = 28 - 113\/4. What is the closest to t in s, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.0098 or 0.195?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11836, 19692, 32784, 51112, 74676, 103476?\n\"Answer: 2618*n**2 + 2*n + 9216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(3\/8)*(-215)\/(-3096)*-12\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/(-36))\/((-5)\/(-20)). Which is the closest to -0.2?  (a) z  (b) -0.2  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 478261 and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20100608*q**2 + 15561648 wrt q.\nAnswer: -40201216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of 0*n**2 + 15\/4*n**4 + 0*n + 7\/3*n**3 - 3. What is the third derivative of f(w) wrt w?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-11)\/(1 + (-9)\/6). Let s = o - -12. What is the remainder when s is divided by (-2)\/3 - 76\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(3*t - 2 + 2 + (2*t - 2*t - t)*(-4 + 4 - 1) - 3*t + 3*t + 2*t) + 8 - 2*t - 8.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -991.67*1.88\nAnswer: -1864.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - (-3 - 10))*(0 - -6). Let g be (-5 - -71)*3\/2. Calculate the greatest common factor of g and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(363) + sqrt(363) + 0 + -4*sqrt(363)*-1)*6)**2.\nAnswer: -19008*sqrt(3) + 471024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -399 + 404. What is the closest to -4\/13 in -0.5, 2, b, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137811.\nAnswer: 3, 71, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1942*-2.08853.\nAnswer: 4055.92526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.634339 days to hours.\nAnswer: 111.224136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 - 5*x**2 - 4*x - 12. Let u be n(-5). Solve 3 = -o, u = 3*l + o - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 330*y - 4293 + 930 - 7857 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*i + 198*i - 25 = 0. Let g(u) = -u + 2. Let o be g(-2). Put o, 1, -3, i in decreasing order.\nAnswer: o, 1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 12:18 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 4*z + 7. Let o be f(5). Let j(m) = m + o*m - 4 - 5*m + 5. Let x be j(-6). Solve -1 + x = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/6)\/((-2)\/24). Suppose -3*s = 16 - z. Let v(j) = j**3 + 4*j**2 - 2*j - 4. Let q be v(s). Solve -q*c + p + 5 = 1, -3*c = 2*p + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30.9 + 30.9000394. Round k to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 21*y - 1. Is 3 a factor of d(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25764 divided by -19?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -5*c**3 + 12780*c**2 - 3712405*c + 3699630 = 0.\nAnswer: 1, 333, 2222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2562 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 + -20. Let f be 10\/6 - (-6)\/v. Determine z so that -2 + 2*z**f - 14*z + 4 + 16 + 2*z = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -1\/5, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 22992 divided by -2874?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 5:10 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.2225 + -0.0225. Let y = 0.2 - 3. Let n = h - y. Which is the fourth smallest value?  (a) 2\/7  (b) -0.2  (c) n  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 + 1780*v**2 - 230748*v + 6948972.\nAnswer: -4*(v - 201)**2*(v - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from yeseysfehfec.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 5*o**2 + 2*o - 1. Let g be y(6). Suppose 2*l + 11 = g. Suppose 10*v - 70 - 110 = 0. Calculate the least common multiple of v and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**2 + z**2 - 3*z**2)*(-1 + 1 - 2) - z**2 - 2*z**2 + z**2 + (-4 + 3 - 1)*(-5*z**2 - 9*z**2 - 13*z**2).\nAnswer: 56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -495.2 + 610.2. Sort 0.1, q, -4\/5 in decreasing order.\nAnswer: q, 0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -484201 (base 10) to base 14\nAnswer: -c865b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c = 5*c + 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(50)*1 - (sqrt(450)*-2 + sqrt(450)))\/(sqrt(20)\/(sqrt(4)\/sqrt(8) + sqrt(2))).\nAnswer: 27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k - 1. Let i(u) = -3*u**3 - u. Suppose -4*p = 6 - 2. Let g be i(p). Suppose 11 = 3*q - 6*q - 5*t, g*q - 4*t = 28. Determine z(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*a = 334, 2*a = -3*l - 2*a + 502. Calculate the common denominator of 1 + l\/(-55) + 0 and 47\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 171  (b) -4  (c) 581  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.199 + -0.199556. What is k rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4006 divided by 2489?\nAnswer: 4006\/2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 37583929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -571 + 158. Let v = c - -621. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9 or -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1090155*t**2 + 1756004*t?\nAnswer: -2180310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10372*a + 3*a**3 - 10372*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1046010 and 16422.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 26309 times -0.16?\nAnswer: -4209.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2283 and 21?\nAnswer: 15981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 9634b?\nAnswer: 9634c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h - 23. Let t be c(14). Solve -t*i = -3*u - 27, i + 4*u = 2*i - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -w**5 + 2337*w**4 - 2333*w**3 - 7009*w**2 + 2334*w + 4672 = 0.\nAnswer: -1, 1, 2, 2336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 506287062 to the nearest integer?\nAnswer: 22501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -469549461.2 rounded to the nearest one million?\nAnswer: -470000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -21) + 9 + -4 + -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25805, -25803, -25801?\nAnswer: -25799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 82, 83, 84?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16.18 + 1.52. Let c = i - -14.660001238. Round c to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) + -5*(sqrt(18) + sqrt(126)\/sqrt(7)))**2 + sqrt(18) + -4 + -1 + sqrt(18).\nAnswer: 6*sqrt(2) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 78939 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-12) + ((-1820)\/(-15))\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 42\/7*2\/(-6). Let y = 0 - a. Solve y*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*((j\/(j*j**(2\/3)*j))\/j)\/j)**(-17\/5)*j\/j**(-1)*j*j**(-14) assuming j is positive.\nAnswer: j**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-29)\/(-116) + (3 - 3807\/1164). What is the closest to j in 0, -0.2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 19*k**2 - k - 8. Suppose 3 = -5*u + 6*u. What is the remainder when s(u) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -741 - -838. Which is smaller: m or 293\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -31800840 - 0?\nAnswer: -31800840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 847858 and 693702.\nAnswer: 7630722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2127497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12.5 + -8.2. Let d = -10.4 + 14.7. Let r = g - d. What is the closest to 2\/7 in 1, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(((-11100)\/250)\/(-111))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 6*o. Suppose -3*g - 11 = r, -4*r + r + 2*g = 11. Let w be j(r). Let z be -3*(-1 + 14\/(-3)). Solve z = 4*i + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 PM and 11:04 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2*sqrt(192)*-5 + sqrt(192) + sqrt(192) + 3 + -1 + sqrt(192))**2 + -3*(sqrt(192) + -1*2*sqrt(192))**2 + -4.\nAnswer: -224*sqrt(3) + 8836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/234)\/((-1)\/(-27)))\/((-24912)\/40482).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-410 + 1616 - 414)*(0 - 5 + 4)*(0*f + 3*f - 4*f)*(f - 2*f - f) as r + i*f**2 + c*f and give i.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + -3)*(-8)\/6. Let z(k) = 2 + 0*k - 2 - 2*k. Let j be z(-2). Solve 0 = v*s - j*a + 28, 31 - 11 = -5*s + 2*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 1566\/11  (c) -2  (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/2870 and 89\/38130?\nAnswer: 266910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -0*z + 4*z - 96, -3*z - 2*n + 72 = 0. Let l be z\/(-18) + -2 + 2. Let p = -889\/9 + 99. Which is the nearest to -0.1?  (a) p  (b) l  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -10. What is the nearest to s in 3\/4, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 + (7 - 30\/(-5)) and 156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(475) + (-2 + 1*sqrt(475))**2.\nAnswer: -15*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 3*o + 5*o. Let t = o + 46. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 4*b + 0*b)*(8*b + 2 + 16*b - 8*b)*(-4 - 1 + 4).\nAnswer: -16*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fy when two letters picked without replacement from ifyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 1435 = 335. Let m(v) = -1 + 0*v + 0*v + d*v**2 - 83*v**2. Calculate m(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1755 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*a - 3*a + 2*a)*(3 - 1 - 3)*(42*a**2 + 20*a - 20*a) to w + z*a**2 + f*a + q*a**3 and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(3\/(-3)*-2). Suppose -g*r + 6 = 3*a + 4, -4*a - 16 = -2*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -6*y**3 - y**2 + 2*y - 2. Let q be v(2). Does -50 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.308053l to millilitres.\nAnswer: 9308.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0*t = 2*t + 5, -4*s - t - 6 = 0. Let a be ((-4)\/(-4))\/(s\/1). Let w(j) = -j**3. Determine w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2049343 and 0.085.\nAnswer: 174194.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -396 divided by -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2577359 and 7233.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/196871 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 26 + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2552  (b) 1\/4  (c) -58  (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-8) + 2)\/(3\/486). Calculate the highest common divisor of 27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3\/20)\/((b*b**(1\/17))\/b*b))\/((b\/((b*(b**(2\/11)\/b)\/b)\/b))\/b)**(-20) assuming b is positive.\nAnswer: b**(131479\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, -6, -62, -4, 4 in decreasing order.\nAnswer: 4, 2, 1, -4, -6, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1620670 - 0?\nAnswer: 1620670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 991911\/35 + -28335. Which is bigger: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.123003 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 7*r - 2. Let m(y) = y - 1. Let n(o) = a(o) + 2*m(o). Let k be n(6). Let q(b) = -k*b - 5*b + 5*b. Let w(v) = 2*v. Give q(w(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 236\/(-708)*(-2 + 50).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*b**2 - 10*b**3 - 9*b**2)*(23*b + 10 - 10 + (0 - b + 0)*(1 + 2 - 4)) + 3*b**4 - 4*b**4 - b + 3*b**4.\nAnswer: -238*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-31)\/(-4) - 3) + 2\/8. Which is the second biggest value?  (a) 1\/5  (b) z  (c) -4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60833 (base 16) to base 13.\nAnswer: -10ac1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**2 + 45*u**3 + 2*u**4 - 2 - 11*u**3 - 23*u**3 as r*u**4 + s*u**3 + n*u + m + i*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 36481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10249 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20037, -20040, -20047, -20058, -20073, -20092, -20115?\nAnswer: -20142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24273563 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 3582 - 1961. Suppose 0 = -31*c + n + 1820. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 557017 - -40?\nAnswer: 557057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(((-1008)\/(-147))\/((-6)\/21)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from kkkkikkkiikkkkkkkik?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 187*b**2 + 12*b - 16. Let c(i) = -147*i**2 - 9*i + 13. Let j(m) = -14*c(m) - 11*q(m). Let z(g) = g**3 + 5*g**2 + 2*g + 1. Let u be z(-4). Give j(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 11 = 6. Suppose -18 - 27 = -5*k. Suppose v - 4*r + a = -k*r, -v + 3*r = -15. Solve 3*o - 9 = -3*g, -3*g - 21 = -0*g - v*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1703*w - 1724*w + 231 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27680*o**2 - 28004*o**2 + 14883*o**2 - 8597*o**2.\nAnswer: -49398*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -65\/6 - -21\/2. Which is the smallest value?  (a) i  (b) 4  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(17) + (5*sqrt(68)\/sqrt(4))**2 + sqrt(17)) + (-1*sqrt(153))\/sqrt(9) + sqrt(68)\/sqrt(4)*-5 + -3.\nAnswer: -2*sqrt(17) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 11*p**2 + 11*p - 4. Let s be z(-12). Let v = 12 - s. Which is the third smallest value?  (a) 1  (b) v  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + t. Suppose 5*k = -5*b, 22*k - 2*b - 6 = 21*k. Let v(p) = 4*p**3 - 2*p**2 + 2*p. Determine k*q(m) - v(m).\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llml when four letters picked without replacement from pmmbllll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3020, 6769, 10518, 14267, 18016, 21765?\n\"Answer: 3749*w - 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k + 16050 = 49080. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s**3 - 39*s**2 - 127*s + 377. Determine k(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102212100021220 - 0?\nAnswer: -102212100021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 4*n - 8, -12 = -2*r + 7*n - 36 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 252271 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) -0.4  (b) -425970  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 44*j + 26 = -146. Let w(s) = -6*s + 0 - 2 + s**2 + 0*s**2. Give w(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((360\/84)\/15)\/((-598)\/301 + 2). What is the closest to 3\/2 in -2, 1, y, -9\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 295953738 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lfllfnllfnfffllf. Give prob of picking 2 l.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuuuubuuu. What is prob of sequence ub?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 65272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 221 and 281 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from {j: 2, h: 4, t: 5}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -19, 2.\nAnswer: -19, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 248*y = 679*y - 272*y - 11448 for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-8\/7)\/q)\/q*q*q\/(q*q\/((q*q**12\/q*q)\/q)*q)*q*q*(q*q*((q**(-1)*q)\/q)\/q)**10 assuming q is positive.\nAnswer: q**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0119693 - 92.\nAnswer: -92.0119693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -553*w = 437*w - 39016 - 64747 + 8723 for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24829?\nAnswer: 7, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -146261\/20 + 7313. Let r be 17\/(-36) + 6\/27. Which is the smallest value?  (a) -3  (b) r  (c) q  (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 87 + -163. Let y = 152 + g. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/((-12)\/(-9)) - -16. Let v(i) = 3 + 10 - 7 + c*i**2. Let h be v(-6). Round h to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, x: 3, e: 1, h: 3}. Give prob of sequence hxe.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/3 + (-38)\/6. Suppose 65*v - 18*v - 2258 + 2211 = 0. Put -4, b, v, -5 in increasing order.\nAnswer: b, -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5*y - 30 = 24, -y = -g - 10. Is g greater than -53\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f - 1. Let v be o(1). Let l = 659 + -659.3. Which is the biggest value?  (a) -5  (b) l  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 443*j**5 + 45*j**4 + 2*j**4 - 47*j**4 + 0*j**4 - 772*j wrt j.\nAnswer: 8860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 2*c + 85424 = 85467, -3*j + 5*c + 22 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2058 < -2020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -1\/84, 5, 4, -0.2?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h**(-2\/49)*h)*h*h\/(h*h**(-26)*h)*h assuming h is positive.\nAnswer: h**(1325\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46044.98 days to microseconds.\nAnswer: 3978286272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 3:07 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39 or -0.9?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d**2 + d**2 + 3*d**2 + 20*d - 3*d**3.\nAnswer: -3*d**3 + 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 4:03 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 100.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.09, -5.37, 0.05, 0, 0.4?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, q: 3, p: 2, t: 9}. Give prob of picking 1 p and 1 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2294312402 to the nearest integer?\nAnswer: 47899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*i + 20 = 7*i - 124 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3835960857 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 11*r - 2009. Let h(q) = -56*q - 1. What is c(h(w))?\nAnswer: -616*w - 2020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 3, 2\/2509, 0.2.\nAnswer: -0.1, 2\/2509, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*u + 5*u - 15 = -111 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3465 - -6987\/2. Let a = -2\/96157 + 189910089\/673099. Let k = 18244\/63 - a. What is the common denominator of k and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2 + 15\/10. Let p(c) = -3 + m - 1 + 4*c - 7. Let s be p(6). Solve 0*x = -5*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*w**4 - 7*w**2 + w**4 - 2*w**4 + w**4 wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = g - 2*r - 0, 5*r + 5 = 5*g. Let o = -56 + 58. Solve 0 = -o*i - 6*k + k - 15, -5*k = g*i + 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 5*w + 16 = 0, 7*p - 3*p - 2*w + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -320 - -320. Suppose 0 = 9*f + f - 30. Solve -g - 1 - f = x, w = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h + 6 = -11*h. Let x(k) = 5*k - 1 + 2 - 4*k. Calculate x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2331.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 + 9 + (-3 + 1 + 1)*(2 - 2 - 2) + 1 + 0 + 1)*(4*q**3 - 5*q**3 - 6*q**3)*(7*q**2 - 3*q**2 + 0*q**2).\nAnswer: -560*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxoqcccsqqf. Give prob of sequence fx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12181 - 12079.97. Let q = z - 101. Let u be (-3)\/(-234) + 2\/(-12). Which is the nearest to q?  (a) 3\/5  (b) 4\/5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2552368779?\nAnswer: 3, 94532177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3606, 14430, 32474, 57738?\nAnswer: 90222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19 + -4 + 2 + 3. Let z be 3\/(-2 + (-19)\/(-8)). What is the greatest common divisor of z and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -87*(-2)\/(-6)*-1. Let r = w + -7. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19840505 to the nearest integer?\nAnswer: 4454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2282 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -2, 69, 4, 0, 19 in decreasing order.\nAnswer: 69, 21, 19, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 572 and 3276?\nAnswer: 36036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 52*i**2 + 217*i - 356. Determine r(56).\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26093 + 37998. List the prime factors of l.\nAnswer: 5, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -61*c + 61*c + 11*c**3 + (-226*c + 147*c - 230*c)*(-c**2 + c**2 + 2*c**2) to the form x*c**3 + q + y*c + b*c**2 and give x.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-49)\/7)\/(-28)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 28 - 4. What is the tens digit of 8\/t - 82\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26857*0.06\nAnswer: -1611.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*o**3 - 2*o**2 + 0*o**3 + 2*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 20*y**2 + 1407*y - 11. Calculate c(-71).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/5  (b) 46\/9  (c) -9\/2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (4 - (4 - -2)). Suppose 14 = 2*s - 5*u - 8, -3*s - u - 1 = 0. Suppose -2*r + s = 3*f, -2*f = r - 0 + 1. Solve 0 = r*b + c - 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 10*-987*10\/(-6). Find the third derivative of -8*z**2 - 65*z**4 + x - 16450 - 4*z wrt z.\nAnswer: -1560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -252431, -505675, -758919?\n\"Answer: -253244*l + 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 54117 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8239, -10362, -12495, -14644, -16815, -19014?\nAnswer: -21247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**3 + 4*u**3 + 21 - 20. Let j be b(1). Suppose -17*c = 40 - 142. Is j less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186 - 188 + 374 - 53*x**2 + 36*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 + 50 + -8 - -123) + -8 + 4 + 12?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of 2*t**3\/3 - t**2\/2 - 2*t + 1228. Let n(s) = -5*s**2 - 2*s - s + 0*s + 6 + 6*s. Determine 4*n(k) + 11*o(k).\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (62\/72 - -3)*(-2)\/5. Let t = f - -13\/9. What is the biggest value in t, -4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {p: 6, v: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4908.5 - 4908. Sort w, 4, -80\/21 in descending order.\nAnswer: 4, w, -80\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 213553 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 241202, 240929, 240474, 239837, 239018, 238017?\n\"Answer: -91*j**2 + 241293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 76 and 14984.\nAnswer: 284696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*((-273)\/(-585))\/((-1)\/(-18)). What is the highest common factor of 1146 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*p**3*u**2 - 7*p**3*u + 35*p**3 wrt u?\nAnswer: -12*p**3*u - 7*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -3 - (-2 + -8 + 22 - -11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 420981580?\nAnswer: 2, 5, 3389, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2547 (base 9) to base 16.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1547009 divided by 121.\nAnswer: -1547009\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 130740, 130738, 130736?\n\"Answer: -2*x + 130742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (2 + sqrt(325) + -2 - -4*(sqrt(325) + (sqrt(325) - 2*sqrt(325)))) + 2 + 3)**2.\nAnswer: 80*sqrt(13) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2016 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hc when two letters picked without replacement from {f: 1, k: 1, c: 6, t: 3, h: 3, m: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -273, -4316 in increasing order.\nAnswer: -4316, -273, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -99*n + 7. Let w(i) = -50*i + 4. Let p(k) = -3*j(k) + 5*w(k). Let g be p(1). Suppose 0 = u - g - 112. What are the prime factors of u?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) -8148  (c) 614  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 5*a - 42, m - 6 = -6*a + 7*a. Suppose 0 = m*d + 2*d - 20. Find the second derivative of 17*x - 5*x**d - 196*x**4 + 228*x**4 + 5*x**2 wrt x.\nAnswer: 384*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11039113 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1656.1 and -0.1897?\nAnswer: 314.16217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 729291 or 9480782\/13?\nAnswer: 729291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 154*h + 1004. Calculate i(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 479148075 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**3 + 13962*r**2 + 3824415*r + 259378200 = 0. What is r?\nAnswer: -135, 14232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25038 - -25042.4204. What is h rounded to 1 dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**3 + 3*f**2 + f - 2. Let b be p(2). Let g = 8 + -8. Let i = -1 - g. Put b, 4, i in decreasing order.\nAnswer: 4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88, 1, 42.\nAnswer: 1, 42, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.5  (b) 2  (c) 1\/5  (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*a + 30, -4*o + 4*a - 7 = -23. Let q(r) = 9*r**3 + 2*r - 2. Let l(k) = 4*k**3 + k - 1. Calculate o*q(t) - 14*l(t).\nAnswer: -2*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 236178458*y**3 - 271040804?\nAnswer: 708535374*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m. Let j(s) = -14*s + 17. Let r(n) = n - 17. Let b be r(0). Let w(i) = -5*i + 6. Let u(g) = b*w(g) + 6*j(g). Give u(d(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -4*(-4)\/(-24)*(-2725410)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.3355*-0.9\nAnswer: 1.20195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 11:06 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 6:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 704 - 692. What is the third derivative of 298*k**3 + 17*k**2 + 19*k**2 - 50*k**2 + o*k**2 + 33*k - 53*k wrt k?\nAnswer: 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 2:33 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 10 + 2 = 0. Let o be g\/4 + 5\/2. Factor -i**2 + 6 - 4 + 2*i**4 - 3*i**o.\nAnswer: 2*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a factor of 810286113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 4*t**2 - 3*t - 4. Let i be g(-5). Let r be 1 + -2 + i\/(-7). Solve 0 = 2*j + r + 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9 + 336\/(-12))*1. Which is smaller: q or 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 - -41. Let a = 67.8 + w. Let r = a + -13.80000099. Round r to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7a + d?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 181, -17, -2.\nAnswer: -17, -2, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kg when two letters picked without replacement from qrqkskqrkggqrrqqsr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -88*k**2 - 1. Let z be h(-1). Let t = 151 + z. Let m = t + -27. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + u - 100. Let c(g) = 0*g + 14 + 11*g - 20*g**2 + 22*g**2. Let k be c(-6). Calculate the highest common factor of u and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -18. What is the nearest to 0.1 in 5, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(2\/(-56))*(-25)\/50.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23.5593 - -55.56005. Let n = 32 - a. What is n rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a8e (base 15) to base 9\nAnswer: -3238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e and 1 m when four letters picked without replacement from mmeemmmeeeamemaaeama?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -12221211 (base 4) to base 15\nAnswer: -810c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -5  (b) 0.4  (c) 6508\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o - 35 + 39 + 69)*(o**3 + o**3 + 0*o**3) to r*o**2 + w*o**3 + z*o**4 + y*o + n and give w.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -66 divided by 28574\nAnswer: -33\/14287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 25*i**2 - 3*i + 45. Let d be o(-25). Let r be d - ((-2)\/(-2))\/(-4 - -3). Let f = 530 - r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 91 - 84. Suppose 0 = k*n - 336 + 112. Solve 0 = 33*t - n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 4*w + 770 = 0, 2*a + 5*w - 325 = -0*a. Suppose -a + 46 = -8*r. Solve 4*s = l + r, -3 = -l - 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 11*t - 8. Give n(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (122\/4)\/(4\/16). Let b = i - -429. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -951*k - 10903 + 10234 - 26910 = 0 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7309674*d**2*m**3 - 2*d**2 - 6389*d*m**3 - 2*d*m**2 + d*m + 2*m**3 + 34*m**2 wrt d?\nAnswer: 14619348*m**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-70))\/(1457\/217 - 8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-14)\/6) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142562882122 + 142562882122 + 15*c**2.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7507*a - 7510 = 7517*a. Which is smaller: -752 or a?\nAnswer: -752","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(7\/3)*j**(-15))\/(j**(-12\/5)\/((j*j*j**(-1\/30)*j*j)\/j)) assuming j is positive.\nAnswer: j**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**3 + 4*k**3 + 3*k**4)*((1 + 0 + 1)*(-3 + 3 - 2) + 2 + 2 - 2 + (2 - 2 - 2)*(-1 - 3 + 2) - 1 + 4 - 4).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1292c + 2?\nAnswer: -1292a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 2*p**2 + 5*p - 3. Let w be 14\/3*(2 - -1). Suppose -2*f - 3*k - 2 = 0, -f = -4*f + k - w. List the prime factors of d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-0.038577\nAnswer: -0.0192885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: bb (base 15) to base 12\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 3:24 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88575 is divided by 44266.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 24 + -12 + -7 + 19\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**3 - 60*f**2 - 180*f.\nAnswer: -5*f*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 2*o + 16, 0*o + 2*o = 10. Let y = z - -3. Let g be (15\/(-6))\/1*-2. Which is the closest to y?  (a) -4\/5  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**5 - 49*d**4 - 7*d - 23 wrt d?\nAnswer: 20*d**3 - 588*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*y + 62*y + 2 = -5*c, 4*c - 4*y + 16 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 86?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10a0875 (base 11) in base 2?\nAnswer: 111010100100000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 28055474 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-54)*18\/48*-6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 - 20. What is the remainder when 60 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 114950 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6 = -0. Suppose 0 = -5*s - 10. Let u = h + s. Let d(m) = -3*m. What is d(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(-3*y + 0*y + 9*y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 1, m: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22658910 and 690?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*m - 5628 = -6780 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -268 = 22*d - 48. Is -114\/11 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/3375059 and -51\/169967.\nAnswer: 23625413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9851\/1580154 + 2\/9519. Which is smaller: 15\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(4\/(-56)) - -3. Let j = k - 16. Suppose 2*o - 3*o = -j. Solve -5*i + o = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13.974 - 0.126. Let x = -123.1 - r. Let p = x + 108.9953. Round p to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 96 + -92. Suppose -5*u + 67 - 6 = -4*l, 0 = 2*u + 2*l - 10. Suppose -t*r = -u*r + 70. Solve 2*i + r = 3*s, i = -3*s - i - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -170*h**3 - 21*h**2 + 28*h + 87. Let n(t) = -338*t**3 - 40*t**2 + 55*t + 173. Let d(g) = -11*m(g) + 6*n(g). Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 35065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -12 - 13*g**2 + 2 + 13*g - 5*g**3 + 2*g**3 + 2*g**3. Let c be i(-14). Suppose c*j - 15 = -4*k - 119, -2*j + 98 = -3*k. Which is greater: k or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56546102 to the power of 1\/2, to the nearest integer?\nAnswer: 7520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 8:45 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 4*f + 195, 3*f - 68 = -d - 2*f. Let t = d - 40. Is ((-314)\/8 + 0)\/(t\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -10*t**2 - 1370*t - 19503. Determine k(-16).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1540792 + 6*s**2 + 2*s - 1540781 + 0*s to the form p*s**2 + x*s + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 5 + (1*1*sqrt(171))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from bhrrbrhrrrrrrhbrrr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*b = 5*b - 22, y + 5*b + 8 = 0. Let r = 1251 - 1247. Suppose -r = -s + y. Solve 2*t - s = -0*t - w, -4*w + 4 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 0*h - h + 14 - 15. Let q = -2 - -4. Let w(f) = 2*f - f**2 - 2*f. Determine q*w(b) - l(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 5*p**2 + 2*p + 89. What is the units digit of g(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 7 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + p**2. Suppose -4*f = 2*q + 20, q = 3*f + 11 + 4. Let d(i) = 3*i - 2 - 7*i**3 + 0 - i + 0*i + 7*i**2. Let m(n) = f*c(n) + d(n). Factor m(y).\nAnswer: -2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 756135996?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - 2*m - 3*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 3 = 11. What is the remainder when 59 is divided by s - -32 - (-3 + 12 - 6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1300900 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -127?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f + 8811 = 12*f - b, b - 5879 = -2*f. What are the prime factors of f?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 3*g + g. Let j = 313 + -164. Let o = 149.3 - j. Put g, -2\/21, o in descending order.\nAnswer: o, -2\/21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.514 + -0.486. Let h = 421\/572 - -2\/143. Sort m, 5, h, 0 in ascending order.\nAnswer: m, 0, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s + 1. Let y(f) = 15*f - 7. Let k(z) = -z**3 + 19*z**2 - 16*z - 34. Let b be k(18). Give b*y(w) + 14*r(w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o**4 + 2*o**4 + 2*o**4)*(o - 4*o + 4*o) + o**5 + 4*o**5 - o**5 + 1 - 1 + o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand l + l**3 - l**2 - l**3 - l**4 - 3*l**4 - 2*l**4 + 7*l**4 + (1 - 1 - 2*l**4)*(2 - 2 + 2).\nAnswer: -3*l**4 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 31640 and 32?\nAnswer: 126560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27550 - 27550.1. Let x be (-16)\/(-18) - (-4)\/(-6). What is the second smallest value in -4\/7, x, 2.9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -337536, -337821, -338598, -340113, -342612, -346341?\n\"Answer: -41*q**3 + 2*q - 337497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1929, 2227, 2735, 3465, 4429?\nAnswer: 5639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - 0\/4 - 1. Let c(a) = 7*a**2 - 6*a. Let l(h) be the third derivative of h**5\/60 + h**4\/24 + h**2 - 49*h + 43. Calculate q*c(x) + 6*l(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k**2 + 13*k + 2. Let y(z) = z**2 + z. Determine a(l) - 4*y(l).\nAnswer: -l**2 + 9*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - -25. Let d = -36 + g. Solve 5*h = d*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**2 - 2*m**2 + 3*m**2 + (-27161 + 527*m**2 + 27161 - 2*m)*(2 + 5 + 0).\nAnswer: 3691*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 4*x = -55, 3*p - 56 + 40 = -x. What is the highest common factor of p and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {n: 3, g: 2, s: 2, o: 8, j: 2, d: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*d**2 + 5*d**2 - 2108*d**3 + 19*d**2.\nAnswer: -2108*d**3 + 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 9. Let v be m(-11). Let b(c) = c**2 + c. Let g be b(v). Suppose g*h - 33 = -h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of i**5\/210 - i**4\/42 + i**2 + 4. Let o(y) be the second derivative of r(y). Factor o(d).\nAnswer: 2*d*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 1078*l**3 - l**2 + 1. Let f be -1 - 16\/(-5 + -3). Does 11 divide a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - v**2 + 1. Let n be l(2). Suppose -3*z = -3 - 0, 3*z + 12 = n*x. Let w = 2 + x. Let f(k) = k**2 - 4*k - 4. Give f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*t + 154*t - 75*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 4*n + 3. Let u be q(-7). Suppose -4*h + 60 = 5*r - u, 5*h + 2*r = 88. Calculate the remainder when 45 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.03 from 0.0661.\nAnswer: 0.0961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 196105173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q**11\/q)\/q)\/q)\/((q**(1\/2)\/q)\/q)*q**(-3)\/q*q\/q**(3\/7) assuming q is positive.\nAnswer: q**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -63*k + 6161. What is v(97)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 2905.\nAnswer: 3\/2905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 7025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39281218 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/(-9) - 2)*(-6)\/4. Suppose -h*f + 11 = -5. Let w(a) be the first derivative of -2*a**3\/3 + 3*a**2 - a - 1. Give w(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 6*j**3 - j**2 - j + 1. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, -112, 3, -5.\nAnswer: -112, -5, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**15)**8\/((l\/(l**(-2)*l))\/((l\/(l\/l**(3\/10)))\/l)) assuming l is positive.\nAnswer: l**(1173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111110100000110011 (base 2) to base 9.\nAnswer: -430211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 8*v - 5. What is the remainder when q(6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 448982753 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + 4*(sqrt(1088) - (0 + sqrt(1088))) - 3*(4 + (sqrt(1088) - (sqrt(1088)*-1 - sqrt(1088))))**2).\nAnswer: -117680 - 2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2452619 is divided by 136256?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1533.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -489328 * -1.4\nAnswer: 685059.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 46, 24, -10, -56?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 414793?\nAnswer: 414793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o*o**(-1\/2))\/o*o))**21)**(-28)*(o*o\/(o*o*o**(-5\/2)\/o)*o\/(o**(-2\/29)*o))**(-4) assuming o is positive.\nAnswer: o**(-8940\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2211)\/(-804)*(-13020)\/385?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7205*s = -w + 7208*s - 8, 0 = 6*w + 3*s - 57 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -7 + -8 - (-227 + 60 - -12).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19259\/5 - 3851. Which is the closest to 2?  (a) 0.157  (b) w  (c) 1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12424 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -w + 1061, -3*w = -2*y - 5*w - 434. Let i = y - -855\/4. What is the fourth smallest value in 2, -14, -0.4, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 294221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011110100211012222 + 2?\nAnswer: -1011110100211012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 23*w - 45. Let m = -1990 - -2011. Give t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 - 16 + 27)*(-5*d**3 + 2*d**3 + d**3).\nAnswer: 66*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3665 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = -4*h - 60. What is the greatest common factor of 60 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s**3 - 2*s**3 + 4*s**2 + 0*s + 4*s - 6 + 2*s**2. Let n(d) be the first derivative of d**4\/4 + 7*d**3\/3 + 5*d**2\/2 - 7*d + 3. Give 5*f(m) - 4*n(m).\nAnswer: m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) - (sqrt(9)\/sqrt(3) + 2) - sqrt(24)\/(-1*sqrt(8)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 5\/582366 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**9\/15120 - r**8\/8400 - r**7\/4200 + r**6\/1800 - 3*r**3\/2 - 4*r**2. Let v(q) be the first derivative of d(q). Factor v(i).\nAnswer: i**2*(i - 1)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**2 - 2*f - 4*f**2 + 0*f - f to the form k*f + o*f**2 + p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/(-4)*(-7 + 72\/12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/24 and 187\/84360.\nAnswer: 84360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1188 = -57*o - 75*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 210878.4 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g\/g**0*g*g**4*g**(-2\/17)*g**(-5)*((g*g\/(g\/(g\/g**(-1))*g)*g)\/g)**(10\/11)*(g\/g**(-1\/3))**(-10\/9) assuming g is positive.\nAnswer: g**(11204\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of 491*f**3\/6 - 42*f**2 - 34*f - 1. Differentiate w(o) with respect to o.\nAnswer: 491","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18777, -36290, -53803, -71316, -88829?\n\"Answer: -17513*o - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 332 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 2*g**2 + g - 7. Determine x(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 45  (b) -6  (c) 2\/3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 1\/4, 20\/23, -7\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 639.5026 days to minutes.\nAnswer: 920883.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0003 + -0.4997. Suppose m + m = -6. Which is the nearest to 0.1?  (a) v  (b) m  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 45. What is the remainder when 191 is divided by l(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -2*w + 29. Let x = w + -16. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ipp when three letters picked without replacement from {p: 11, i: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 203045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 980*k - 56. Let l be s(3). Suppose -4*n + 438 = t, 4*t + 5*n = -1154 + l. List the prime factors of t.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 230670619 to the power of 1\/3, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*y**5 + 3*y**4 + 1753*y**3 + 31671*y?\nAnswer: -40*y**3 + 36*y**2 + 10518*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21318 and 83809?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13889 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/65?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 88095, 176155, 264185, 352179, 440131, 528035, 615885?\nAnswer: 703675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g. Let j(t) = -19*t. Let r(w) = 9*w. Let n(z) = 3*j(z) + 5*r(z). Determine n(o(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*u - 47*u = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -776*h + 1579 = 40379 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/3 - 41*c\/3.\nAnswer: c*(c - 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -639 - -647. Let x be 3 - (-8 + o) - -2. Let l(q) = q + 1. Let r be l(-4). Put r, x, -1, 4 in ascending order.\nAnswer: r, -1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 46464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -1, 0.1, -10970 in decreasing order.\nAnswer: 1\/5, 0.1, -1, -10970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 4*a - 7 = 0. Suppose 3*n - r - a = 0, -r - 3*r - 15 = n. Let v(b) = -3*b**3 - 2*b**3 + 1 - b - b**3. Give v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/284 and -89\/23250.\nAnswer: 3301500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 666*k - 4. Let p(a) = -667*a + 3. Give 5*p(z) + 4*u(z).\nAnswer: -671*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -307 = 51*w + 48 + 104 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -85287 + 443600. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3*c**2 + c + 5. Let u be g(0). Let i(n) = n**2 + 6*n - 58. Let y be i(u). What is the biggest value in y, -2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0115253 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3998 = b - 196002. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c + 1. Let y be (6\/(-2) - -1)*-3. Let o = 4 - y. Let n be p(o). Which is greater: n or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110000011101011101011001 (base 2) to base 14\nAnswer: -1989825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2698, 3241, 3784, 4327?\nAnswer: 4870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 38646\/54 - (-4)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(0 + (2 - 4) + 3). Suppose q*m - 8 = -4*m. Suppose -m*k + 11 = -13. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**2 + 322*y - 1. Let n(j) = -533*j. Give n(g(c)).\nAnswer: -1066*c**2 - 171626*c + 533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 42*b + 291. Calculate t(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 0*g - g)*(-5 + 5 - 6) - 8*g + 0*g + 2*g + 2.\nAnswer: -12*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 896*k + 3764. Let t(y) = y. Calculate z(t(q)).\nAnswer: 896*q + 3764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -141770*i**3*n - 2*i**3 - 48*i**2 + 1716*i*n - 2*i - 508415 wrt n?\nAnswer: -141770*i**3 + 1716*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 7. Let a = o - 4. Let x(h) = -6*h + 6*h + a*h - 2*h**2. Let j(b) = -3*b**2. What is x(j(g))?\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -50*z**4 + 15790*z**3 - 223308*z**2 + 171080*z - 33712 = 0. What is z?\nAnswer: 2\/5, 14, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 4 = -4*f, l + 3*l + 2*f = 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26376 is divided by 26357.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 - 0.1. Let w = -3.917 + -0.123. Let a = w - -0.04. What is the closest to -1 in s, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*f + 220175 = 216300 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -5*u. Let z(g) = -2*g + 1. Suppose -16*b + 33 = 1. Let i(w) = -9*w + 3. Let v(c) = b*i(c) - 6*z(c). Give f(v(p)).\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 8) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6 - 3*r**2 + 0 + 8*r**2 with respect to r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v + 1026. Let r be y(14). What is the closest to r in 2\/3, -0.2, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -346268419 or -346268421?\nAnswer: -346268421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 + 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*r + 80 = 0, -9 = -n - 2*r + 1. Suppose 1 = 4*q - 7. Suppose -q*b + 3*t = -4*b - n, 5*b + 27 = -3*t. Sort b, 3, -5, 1.\nAnswer: -5, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4074)\/776)\/((-3)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide (-19)\/(-1) - (2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 - ((-2 - 47) + 9) is divided by (-75)\/(15\/(-3))*(-12)\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 950376428?\nAnswer: 2, 19, 12504953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 0*r - 3 - 3*r - r**2 + 9 - 1. Let c be (-8)\/52 + 25*(-8)\/52. Determine i(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + (19 + -34 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*g - 4*g - 2*g + (2*g + 0*g + 0*g)*(-3 - 1 + 2) + 3*g + g - 5*g - g + g - 2*g + (0 + 0 - g)*(3 + 2 - 3) + 8 - 8 + 6*g + 5*g + g - 15*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 2:15 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 148*v + 5 - 5 - 108*v. Let i(p) = 9*p**2. Calculate f(i(u)).\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r - 9. Let u(d) = d - 1. Let m(l) = f(l) - u(l). Let x be m(10). Let s(z) = z**2 - 4*z + 3. Let w be s(3). Sort w, x, -1 in descending order.\nAnswer: x, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5771729205.0326 - -5772235066. Let v = -505786 + h. Let k = 75 - v. What is k rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11624000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.146 + 0.205. Let j = -0.0638 + l. What is j rounded to four decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-140020571 + 9149*l**2 + 140020571)*(-3*l**2 + 2*l**2 - l**2) to the form n + r*l**2 + k*l**4 + p*l**3 + v*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 11 - 36 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -3*b - 5. Let s = b + -33. Let x = s - -39. Calculate the greatest common factor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**6\/k*k)\/(k**(-1\/4)*k*k*k))\/(k**1)**(-2\/5) assuming k is positive.\nAnswer: k**(73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 15*(-7 - (-88)\/12). Let s be (v - (-84)\/(-15))\/(4\/5). Let h = 2 + -2. What is the closest to h in s, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 455840\/(-469040) - (-6)\/123?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 3. Suppose -2*t - 86 = -p*m, -6*m - 5*t + 100 = -m. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3264 and 5839755.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525752?\nAnswer: 2, 65719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 489 - 543 = 0. Calculate the smallest common multiple of t and 125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*y + 489. Suppose 4*p - 3*h - y = -4*h, 0 = -2*h + 6. Solve j - 5 = 0, -2*j - 2 + p = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 114875 = -3401 - 2644. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, 139, -2, 2 in decreasing order.\nAnswer: 139, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36\/169 - 5630\/24843. Is 0 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -902\/815 or -2?\nAnswer: -902\/815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 70269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1371*s**3 + 13383333*s**2 - 13383333*s**2.\nAnswer: -1371*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/sqrt(2)*-3)**2 + -1.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -2. Let y be (2 - -1) + (1*5842 - q). Suppose l + y = 4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 24. Suppose -4*p = -j - 14, 2*p - d = 3*j + 2*j. Let x = 1 - 3\/4. Which is the nearest to -1?  (a) p  (b) x  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -48c (base 16) to base 12.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d - 77. Let h be m(13). Let u = -8.017 + 0.017. Which is the closest to u?  (a) -3\/5  (b) 5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5 + 1 = 0. Let u(r) = -5*r - 2. Let c(m) = 9*m + 3. Let o be (44\/8 - 0) + 1\/(-2). Calculate o*u(i) + q*c(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-30)\/4)\/((-1)\/(-2)). Let w be 0 - (2 + 12 + -2). Let b = w - h. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*790678.\nAnswer: -3162712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.17 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -227, -18, -5 in ascending order.\nAnswer: -227, -18, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 4*a = 18, -4*c - 3*a - 11 = 5. Let r be (-21 - c)*(-6)\/(-12). Let j be 2\/(-5) - 344\/r. What is the highest common divisor of 85 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/32*8)\/((-6)\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*w - 41*w + 52*w**2 - 8*w**2.\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -50 + -33 + 32 + -6 + 16 + -5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n - 18. Let u be f(9). Let i = u + 15. Is (-36)\/16*(-32)\/i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3495 and 2025?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1015*f**4 - 112675*f**3 + 2338465*f**2 - 2202845*f - 21930 = 0. Calculate f.\nAnswer: -129, -2\/203, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f**2 - 6 + 17*f**2 + 6.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 698 or 695?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) - (-1 + (sqrt(468) + -2)**2))*-4.\nAnswer: -120*sqrt(13) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 53, 2, 100, 1 in descending order.\nAnswer: 100, 53, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 636*s**3 + 3*s**2 + 2*s - 5. Let y be k(1). What is the greatest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/4 + 2499*t**2 - 19989*t\/4 + 4997\/2.\nAnswer: -(t - 9994)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*z - z - z)*(319*z**2 + 1035*z**2 - 315*z**2 + 372*z**2) in the form u + l*z**3 + j*z + n*z**2 and give l.\nAnswer: -2822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3044685 by -271.\nAnswer: -11235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1663673 divided by 2.\nAnswer: -1663673\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37.7 + 38. Let l = -0.7 - -1.2. Sort -2\/11, l, w.\nAnswer: -2\/11, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*5*sqrt(4)\/sqrt(2) + 5)**2.\nAnswer: -150*sqrt(2) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*g**4 - 34*g**4 + 67*g**4 - 2*g + 2*g**3 - 7 as l*g**2 + u*g + h*g**3 + n + b*g**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**2 - 20*z - 69. Calculate i(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 3*p - 5*p)*(2*p**3 - 3*p**3 - p**3) + (3 - 3 + 4*p)*(p**2 - p**2 - p**3)*(1 + 0 - 2).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 621 and 12650.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -79, -203, -365, -559, -779, -1019?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -1250\/80029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 788273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -19?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 + 14*z + 7. Calculate u(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 6:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqllqqvqlv. What is prob of picking 1 v, 2 q, and 1 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {i: 2, b: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42429\/14 - 3032. Find the common denominator of -155\/42 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**3\/10 + 997*c**2\/5 + 477188*c\/5 - 958368\/5 = 0. Calculate c.\nAnswer: -1192, -804, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of s**8\/5040 - s**5\/10 - s**2 - 11. Let z(y) be the third derivative of b(y). Let u(p) = -2*p. What is z(u(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.3  (b) -3\/5  (c) -487  (d) -0.2  (e) 0.1  (f) -0.4  (g) 31.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 4 = -0. Suppose -2*a - 31 = -3*x, -x - 2*a - 2 = k. Let p = 204 + -201. Solve o = -p + x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1953101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (9\/2)\/((1575\/120)\/(-35))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -221165 + 5?\nAnswer: -221160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(342) + sqrt(342)*3)\/sqrt(6))\/sqrt(3))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of f**4\/10 - 18*f**3\/5 + 243*f**2\/5 + 38*f. Factor y(u).\nAnswer: 6*(u - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -67*s + 302*s**2 - 80*s - 306*s**2 + 36*s to the form v*s + p + y*s**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 32, 25, 734 in increasing order.\nAnswer: 1, 25, 32, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8535, 8161, 7787?\nAnswer: 7413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -9133\/8 > -1143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*r + 111*r = -44*r + 11375 for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yoywnyjynywyzjnzoj. What is prob of picking 2 o and 1 w?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 + -2.3. Let d = 7 - 3. Let n be (2 - 2) + 2\/6. What is the nearest to n in d, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103996000 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 20*n**2 - 1. Let m be f(-1). Suppose 4*y - m = 5. Suppose v = -y + 9. Which is the closest to 0.1?  (a) v  (b) -1\/5  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuuuooououuuuuo. What is prob of picking 2 o?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/(-16)*38)\/(72\/2112). What is the highest common factor of 38 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8.91 in -29, 13, -4, 0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5204 and 4?\nAnswer: 5204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6974?\nAnswer: 2, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, d: 5, l: 4}. What is prob of sequence de?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-9)\/(o*(o\/(o*o**2))\/o))\/((o\/o**(-1\/12))\/(o\/(o\/(o\/o**(1\/2)))*o)))**45)**(-1\/12) assuming o is positive.\nAnswer: o**(395\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 - 39 = -13*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from hmvhvmhsmshvhqhqqdhs.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 320931.9 litres?\nAnswer: 320931900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 minus -14.2?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 3:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -452, -848, -1246, -1646, -2048?\nAnswer: -2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 207 and 18285.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 535072 and 439835.\nAnswer: 323718560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 2*q + 6 = 0. Solve 0 = -q*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -15. Suppose -s + 14 = -d. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1916 + 0.1046\nAnswer: 1916.1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 5. Let j be (23\/(-11))\/1 + 2. What is the nearest to 0 in j, k, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(567) + 2*(1 + sqrt(567)).\nAnswer: 2 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 436*i**2 + 14*i + 5. Let v be l(5). Let x = v - 5196. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 5546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -626, -1434, -2242, -3050, -3858, -4666?\n\"Answer: -808*v + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f**3 + 4*f**3 - 117 - 103 - f**2 in the form j*f + b*f**2 + x*f**3 + z and give z.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 30*r - 29. Let o be j(-29). Suppose -4*u + 17 + 3 = o, -4*p - 4*u + 72 = 0. Factor 0*t**2 + 6*t**2 + 4*t**2 + p*t**3 + 20 - 18*t**3 + 35*t.\nAnswer: -5*(t - 4)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 77 + -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20\/11 - -162\/77. Suppose -b - 1 = 1. Sort b, s, 2.\nAnswer: b, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 715301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 19*b - 28. Let j be l(17). Let k(z) = -4*z + 4. Let v be k(j). Let n = 58 + v. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 15 = 11. What is the highest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - -14 - 3) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 3 + 3. Suppose q = 14*x + 9 - 51. What is the nearest to -12 in -4, x, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -17501*d + 4. Let r be n(4). What is r rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 7. Let o(v) = -4 - k + 9*v - 10*v + 2*v. Suppose 0 = -c + 2 + 3. Calculate o(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 27\/2 of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1800, -3, 6 in descending order.\nAnswer: 6, -2, -3, -1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2902816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 155, 152, 149, 146, 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -54*r**2. Let v(t) = -2*t. What is v(z(x))?\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**2\/(v**(-5\/3)\/v))\/(((v*v\/v**(1\/6)*v)\/v*v)\/(v**(-2)\/v)))\/((v**(-8)\/v)\/v*(v**(2\/3)\/v)\/v)**(-19) assuming v is positive.\nAnswer: v**(-433\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 3*c**2 + 16*c + 17. What is the units digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 258471 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3391 + 144 = 5*n. Let w = -315 + n. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Suppose 13*g - 3*g = 3*g. Let z be (g - (-4)\/(-2))\/(4\/56). Is -29 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - -18)*15\/(-350)*10.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 288*x - 9*x**3 - 2 - 288*x + (15*x**3 + 20*x**3 + 5*x**3)*(0 - 2 + 0).\nAnswer: -89*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 14\/3*m**4 + 32\/3*m**3 + 0 - 4*m - 34\/3*m**2 = 0. What is m?\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -2\/5  (b) -12  (c) -1  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 16*t - 13. What is the second derivative of 6*a**5 - 27 + 15*a**t + 60 + 2*a wrt a?\nAnswer: 420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*b - 100*b - 5990 = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -105.527666 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 54, -1, 5, -2 in decreasing order.\nAnswer: 54, 5, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-two fifths of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 4*t = -4*x + 939, 2*x - 474 = 2*t. Let z = x + 731. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 + 1.3. Let i = p + 0. Let l = i - 4. Sort l, 0.3, -0.3 in decreasing order.\nAnswer: 0.3, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, z: 5}. Give prob of sequence ooz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-3*1\/5). Suppose 0 = t*y + 10, 5*s - 77127 = 6*y - 10*y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -4*k**3 + 3*k**2 + 4. Let g(h) = -7*h**3 + 5*h**2 + h + 7. Let o(m) = 3*g(m) - 5*z(m). Does 2 divide o(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -299 in ascending order.\nAnswer: -299, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128, 248, 372, 506, 656, 828, 1028?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5377978943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/240 and 13\/265?\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100143 (base 5) to base 16.\nAnswer: -c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 36727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + k = 3*k + 9, k = 3. Suppose 5*o = 2*b + 3*b - 5, -o - 7 = -3*b. Let l(v) = v**3 - 3. Let f be l(o). Sort -4, u, f in decreasing order.\nAnswer: f, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -x + 4, 5*d - x - 4 = -5*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.06 + 6.94. Let b = -69 + q. Let h = 61.9929 + b. What is h rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004881 to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*z + 5*b = -36*z - 12, 2*z + 4*b = -10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 - 3*l**2 + 1. Let u(g) = -134*g**3 - 8*g**2 + 302*g + 2. Let f(r) = 2*k(r) - u(r). Find the second derivative of f(q) wrt q.\nAnswer: 792*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/2*3)\/(17169\/(-590) + 29).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 5*p**2 - p + 3. Suppose -16 = t - 2*q - 7, q - 12 = 3*t. Give k(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n. Let j(b) = -7882*b**2 - 2*b - 1. Calculate j(w(l)).\nAnswer: -31528*l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = -5*s + 10. Let n be s + 14 + (-2)\/2. Determine p, given that 293*p**n - p + 3*p**3 + p - 290*p**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3867 - -3867.010645. Round t to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2*u + 22 = 0, 5*z + u + 53 = 14. Let o = -17\/2 - z. What is the smallest value in 1\/3, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*f - 22 = 373*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**5 + 46*y**4 - 96*y**3 + 2*y**2 + 95*y - 48.\nAnswer: (y - 1)**3*(y + 1)*(y + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11.7 - 12. Let j = a + 0.1. What is the third smallest value in j, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 221 - 245. Let v(f) = -f**2 - 27*f + 11. Calculate the remainder when v(s) is divided by (14\/(-4))\/((-1)\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*v**4 + 2*v**4 + 4*v - 5*v)*(3 + 36 - 2) to the form g + r*v**3 + z*v**2 + b*v + x*v**4 and give x.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -469*y + 7 - 7.\nAnswer: -469*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/2, -0.8, 3.7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o - 9, 2*p = -o + 9 - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 94 + -90. Suppose 0*f + 2*k = -5*f + 223, -3*k = i*f - 177. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 4*g**2 + 4*g + 2. What is the least common multiple of q(-1) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194667?\nAnswer: 3, 11, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from gdadrpe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 5687*k - 178085. Give x(-31).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*d**6*m - d**5*m + 2*d**2*m - 2*d**2 wrt d?\nAnswer: 2160*d**3*m - 60*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/15)\/(z\/z**3))\/(z*z**3*z*z*z**(-2\/5)) assuming z is positive.\nAnswer: z**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - 107?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 150633 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1993591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 75 = -4*a. Suppose 2*s + 2*w - 416 = 0, -s + 181 = 2*w - a. Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 321301 + 322?\nAnswer: 322223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 61769084 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 0.5, 24, 25 in increasing order.\nAnswer: -3, 0.5, 4, 24, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 0.07, 10\/3, -0.2 in increasing order.\nAnswer: -0.2, 0.07, 2\/11, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, 1\/13, -5, 0, -11\/80?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*a = 324. What is the lowest common multiple of 20 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16418 plus -5?\nAnswer: 16413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in 0.07, 5, 9, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 6 = 2*p, 3*p - 4 - 8 = -3*w. Determine n, given that 1 + 1\/2*n**w + 3\/2*n = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30277 or 0.322?\nAnswer: -30277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -24*k - 524. Calculate w(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) -0.07  (c) 0.2  (d) 3  (e) -18.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + 1. Let k(z) = 2*z**3 - 3*z**2 - 2*z - 3. Let o(h) = 3*f(h) + k(h). Solve o(b) = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of 7*j**4\/4 + j**3\/3 - j + 4. Let y be p(1). Suppose -8 = 5*v + y. Let z(h) = -h**3 - 4*h**2 - h + 4. What is z(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -245*u - 275 + 1131 = 7961 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5724?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 432 - 429. Solve 20 = -h*j - 4*v, -6*v + v = -5*j - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 2*s**2 + 0*s**2 - s. Let j(z) = 2*z. Suppose -4*r + 0*r - 24 = 0. Let a(f) = -f. Let m(y) = r*j(y) - 11*a(y). Determine m(i(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4*s = -4, 4*p + 0*p - 5*s - 5 = 0. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/9 - (2424\/(-540) + 6). Which is greater: -135 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/9 + 386*p\/9 - 260\/3.\nAnswer: 2*(p - 2)*(p + 195)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 5. Suppose 4*r - 2 - 2 = i. Let n = 2 + r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 0)*(-2 + 2 + r) + r + 2*r - 5*r + (-1 - 4 + 3)*(283*r - 132*r - 137*r).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*h - 8*h - 60. Let m(g) = 9*g + 177. Let d be m(h). What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12.96 + 13. Let s = -0.34 + r. Which is the biggest value?  (a) 3  (b) -3\/7  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-5))**(-13))**22*(x\/(x*x**(-2\/7)))**50\/((x\/(x\/(x*x\/(((x\/(x**(-2)\/x*x))\/x)\/x*x)*x)))\/x*x)**36 assuming x is positive.\nAnswer: x**(-12164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47, -1, 9745.\nAnswer: -47, -1, 9745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1938 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (253 - 251)*((-348)\/8 + 0\/(-4)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a + 1. Let c(h) = -15*h - 6. What is 2*c(r) + 11*y(r)?\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(8\/(-30))*(-46 - (-6174)\/105). Solve i*o + 2*p = 98*o + 14, 3*o - 4*p + 26 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2.1, -4.58, -4, -12.\nAnswer: -12, -4.58, -4, -3, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*p + 6*p**2 - 3*p - 7*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-8\/9)*y**5*y**5*y*y**10\/y**(-3\/22) assuming y is positive.\nAnswer: y**(4009\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a + 24. Let p be r(-21). Suppose -4*t - 5*q + 4 = -p, 5*t - 4*q - 19 = 0. Sort -3, 2, 5, t in increasing order.\nAnswer: -3, 2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.4, -2, 4, 3, 8\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6352 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 AM and 7:27 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(228)*2*4 - sqrt(228))*4)\/(-1*sqrt(972)*-1 + sqrt(972)*-1*-3).\nAnswer: 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 572*v**3 - 6*v**2 + 6*v**2 - 579*v**3 + 0*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 679 a factor of 22757364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 76784 = -3*s, s + 3*s + 3*r - 102388 = 0. Round s to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -244102, -976391, -2196848, -3905455, -6102194, -8787047, -11959996, -15621023?\n\"Answer: 3*j**3 - 244102*j**2 - 4*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 82413 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 77, -4, -3, -77, 4 in descending order.\nAnswer: 77, 5, 4, 3, -3, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -223\/2 + 110. What is the closest to z in 3, 2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 3 - 3 = -4*j, -5*h + 2 = -2*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -2*c**3\/3 - c**2 + c. Let x(v) = -10*v**2 - 132*v - 304. Let l be x(-3). Let d(z) = -z - 1. Calculate l*p(g) - 6*d(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -483, 5, -2\/5 in increasing order.\nAnswer: -483, -8, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -2) + (-10 - (132 + -145 + 74 + 0)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - 0 - (-1 - 0). Let l = -3 - -7. Let n(s) = -7*s**2 + 174*s - 142. Let c be n(24). Solve -t*v - l = c*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t + 9. Let v be w(10). Let o be (v - 0)*3\/(-3). Which is smaller: -1\/24 or o?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 6*j**2 - 3*j. Let t be k(7). Let b = 67 - t. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2248349 or -13490101\/6?\nAnswer: -2248349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 2 = h, -h - 3*f + 24 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -4, -3\/7, 0.1, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 152922 and 152922?\nAnswer: 152922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -17. Let z(d) = -3 - 2 + k + d. Calculate z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 13) to base 4\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -1\/381535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x + 8. Calculate w(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 23020 = -4*a + 18180, 4*n = a - 10315. List the prime factors of a.\nAnswer: 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**5\/60 - y**4\/24 - 4*y**3\/3 + 4*y**2. Calculate the smallest common multiple of z(4) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u + 0*u - u + 4*u as t + l*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1031532 (base 7) to base 4\nAnswer: -132220113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2336916 is divided by 179762?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1151, -1760, -2773, -4190, -6011, -8236?\n\"Answer: -202*x**2 - 3*x - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 4  (b) -0.1  (c) 553  (d) -5  (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -131 - -22. Let r = 103 + k. Suppose -2*f - p - 7 = -1, -3*f - 18 = -3*p. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64 = -45*h + 34*h - 5*x, 0 = x - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006289345 to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 0)*-1*-4. Let b(x) = -x**2 + 53*x - 457. Let g be b(42). Solve l = g*l + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (36\/12636*-13)\/((-1)\/(-6))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) -0.4  (b) -93  (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 3*l**3 + 46848*l**2 = 0.\nAnswer: -15616, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 6 + 0*w - 2 + 2*w. Let o be g(-3). Calculate the remainder when 11 is divided by 1*o\/(-4)*12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -229.331 and 0.1?\nAnswer: 229.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4322 - 54101?\nAnswer: -46446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ygvvnnenennvgggn. What is prob of picking 1 e and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1428791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**4 - 108368*n**3.\nAnswer: -4*n**3*(n + 27092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, d: 2, u: 1}. Give prob of sequence cu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + t - 8 = -0*y, 0 = 3*y + 4*t - 9. Let h(b) = 141*b**2 + b + 2. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78336 by -6.\nAnswer: -13056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 51. Let z = x + 28. Let w(l) = -l**3 - 11*l**2 - 9*l + 9. Calculate w(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 242 + 3*p - 869 + 238 + 6*p + 389.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**3 + 9*r**2 + 5*r. Let g(v) be the first derivative of -1\/4*v**4 + 4\/3*v**3 + v**2 + 4 + 0*v. Calculate 2*a(s) - 5*g(s).\nAnswer: s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 390, 5, -21, 4, -12 in decreasing order.\nAnswer: 390, 5, 4, -2, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3*b**4\/2 + 1275*b**3\/2 + 90435*b**2\/2 - 492255*b\/2 - 290709 = 0.\nAnswer: -333, -97, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 - 8 - (6 + 4 + 5)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 43\/6 of a day?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - o**2. Let q be j(0). Let n be (-3)\/(q - 3)*2. Suppose 0 = w - 5*b - 9, 4*b + n = -2. Calculate the greatest common divisor of 28 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*s**4 - 325001*s**3 - 5894350*s**2?\nAnswer: -168*s - 1950006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, p: 2, m: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 230 - 112. Suppose g + l - s = 0, 5*g - g = -3*l + 460. Let c = g - -9. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 30*s + 233. Let v be w(-13). Solve v*p - 15*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7160171 is divided by 636.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 2:38 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1727\/65 + -1009\/39. Let f = m + -2\/65. Suppose 5\/3*q + 7\/3*q**2 - f = 0. What is q?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24?  (a) 1\/138  (b) -0.055  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1143282 times -5\nAnswer: -5716410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 37761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 52486676699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -20.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - -4)\/((-2)\/(-210)). Find the second derivative of -x + 70 - 26*q**4 - q + 58 - q**2 wrt q.\nAnswer: -312*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + -2. Let f = 3 + t. Let v = 2\/45 + 68\/495. Put f, v, -0.5 in decreasing order.\nAnswer: v, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/52)\/(3\/(-4)). Let x = -88 - -793\/9. Which is the third smallest value?  (a) 2\/9  (b) p  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 24 = 88. Suppose z - r = -z. What is the remainder when z is divided by 214\/(-5243) - (-3246)\/294?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 162 divide 180980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-2 - ((-30)\/(-5) + 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -158.16 - -159.16. Which is the nearest to -0.2?  (a) f  (b) 5  (c) 0.5  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -128*m**2*t*u**2 - 11*m**2*t - 2*m**2 - t*u**2 - t - 4*u wrt u.\nAnswer: -256*m**2*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.5 + -2.5. What is the nearest to h in -0.5, -1, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 2.505.\nAnswer: 2.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 372353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -81\/28 or -2\/7?\nAnswer: -81\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -44 - -51. Let l be 350*(14\/(-9))\/w. Let f = l - -78. Are f and -0.09 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 3*g + 8, 0*g - 5*g = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-4 - -10) + (13 - 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 12*d**2 - 9*d + 1. Let y be p(11). Let m = 33 - y. Factor -2*o**2 + 5*o + 7*o - 2 - o**2 - m.\nAnswer: -3*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 3*n**2 + 3*n + 2. Let k be (-21)\/(-12) + 3\/12. Let i(p) = 4*p**k + 3 - 3*p**3 + 4*p + 4*p**3 + p**3. Determine -4*f(s) + 3*i(s).\nAnswer: 2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(114) - (sqrt(114) + sqrt(114)*1 + sqrt(114))) + sqrt(114) - sqrt(114)))\/sqrt(600) - (-3 + ((sqrt(304) - (-1 + sqrt(304))) + -3)**2 + 1).\nAnswer: -2 + 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 8*t + 10. Give o(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 371 + -229. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -131, -120, -109, -104, -111, -136, -185?\n\"Answer: -n**3 + 6*n**2 - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.025007 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 5. Let l be x(-3). Suppose -6 = -3*p, l*p - 10 + 0 = 2*d. Suppose 5 = -3*i - 1. Put i, d, -7 in decreasing order.\nAnswer: i, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 274619788 and 548.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1356118065 by -1035.\nAnswer: 1310259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -15. Let y(g) = -g**3 + g**2 - g - 1. Let w(d) = 4*d**3 - 6*d**2 + 6*d + 6. Let x(u) = q*w(u) + 6*y(u). Factor x(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 941 - 939. Suppose -3*t - 5*v + 853 = 0, 16 + 521 = d*t - 3*v. Is 46 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 210\/(-189) + 1 + (-10)\/18. Let u = 3\/46 + 56\/23. Let d = -299 + 300. What is the smallest value in p, d, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -v**4\/12 - 3*v**3\/2 - 13*v**2\/2 - 4*v. Let m be o(-6). Solve -m*r = -4 + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 1)\/(0 - -4). Let o be 2\/(-3) - 244\/(-6). Let v = 121\/3 - o. Which is the nearest to -1\/3?  (a) -0.5  (b) v  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -101?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*g + 20 = 45*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79972 is divided by 3349?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 72*q**2 - 62*q - 22. What is the thousands digit of j(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -4, -1376, -371 in ascending order.\nAnswer: -1376, -371, -4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-24 + 0 - -41)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - -1*sqrt(114))*-6)\/(sqrt(600) - (sqrt(600) + sqrt(600)*-2) - sqrt(600)).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2))**35*(c\/(c\/(c**(-6)\/c)))\/(c**(-2\/43)*c) assuming c is positive.\nAnswer: c**(-3352\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 200374 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60 + 56. Sort j, 11, 0.\nAnswer: j, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h + 49*h + 0*h + 236 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24032 is divided by 534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 716877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 and 27079.\nAnswer: 27079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*d - d**2 - 9*d - 4*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 36*b - 41*b + 5, 0 = -4*b - 5*n + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -44 + 8. Let p be 1\/(q\/(-24)) + (-2)\/3. Let a(g) = -2*g**p + 12 - 19 + 14 + g**2. Determine a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-51)\/45*-1 - (-95)\/(-285)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 - 16*m - 7. Let c be a(17). Let w(f) = -19 + f + 11 + c. Determine w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**3 + 38*q**2 + 66*q + 101. Is j(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86 - -91. Factor 1264*y**4 + 0*y**k - 1266*y**4 - y**5 - y**3.\nAnswer: -y**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6*n**3 - 2 - n**3 - 4*n - 2*n**3 - 2 - 2*n**2. Is c(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 14867858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -l**5\/60 - l**4\/3 - 3*l**3\/2 - l**2. Let f = -10 - -3. Let c be g(f). What is the closest to -0.1 in c, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5232 (base 7) in base 16?\nAnswer: -72c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187)\/(sqrt(44)\/sqrt(4)))**2 - sqrt(17)) + sqrt(17) + -2 + sqrt(153)\/((sqrt(9) - (sqrt(9) - sqrt(36)))*1).\nAnswer: sqrt(17)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2240, -5, -2 in decreasing order.\nAnswer: 2240, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 9:42 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 11*v**3 + 7*v**2 - 96*v + 172. What is q(2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppt when three letters picked without replacement from ssjsssstpstpjpt?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -410817\/5*q**4 - 32\/5 - 232276\/5*q**2 - 1112*q + 161066*q**3 - 31329*q**5 = 0 for q.\nAnswer: -4, -2\/177, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 471 + 137. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -215*l**5 - 3*l**4 - 47*l**3 - l**2 - 184*l + 6?\nAnswer: -12900*l**2 - 72*l - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -10, -31, -36.\nAnswer: -36, -31, -10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -p + 3*p**5 + 2*p**5 - 9*p wrt p?\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 193 - -673?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-24))\/((-4)\/12). Let d = -53.9 - -54. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1148717?\nAnswer: 389, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111001100111 (base 2) to base 6.\nAnswer: -25023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -3*c + 11, 2*j + 14 = 5*c - 6. Suppose 2*n = c*l + 12, 0 = 5*n - n - 5*l - 28. Solve h + n = 3, 4*f + 15 = -h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -4, 53, -844\/7, -20, -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4627 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y = 20*y + 240. Suppose -31 + 231 = -8*x. Let t = x - y. Solve 3*s = t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1043760 - 19807106\/19. Factor i + 138\/19*b**2 + 3174\/19*b + 2\/19*b**3.\nAnswer: 2*(b + 23)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 1, l: 1, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from deccccccc. Give prob of picking 3 c.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -28*o**3 + 11*o**2 - 14*o + 2. Let x(v) = -9*v**3 + 4*v**2 - 5*v + 1. Let m = 9407 + -9410. Calculate m*j(d) + 8*x(d).\nAnswer: 12*d**3 - d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 144 and 81171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.16  (b) -2\/9  (c) 0.13  (d) -67  (e) 1\/3  (f) 3  (g) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18.406266 and -4?\nAnswer: -73.625064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1440126, 5760375, 12960782, 23041341, 36002046, 51842891, 70563870, 92164977?\n\"Answer: -o**3 + 1440085*o**2 + o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-14) + 1649526\/3295047 + 4\/(-82).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 25 = 10*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -128. Let o = -28 - -42. What is the greatest common factor of b and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 121 - 113. Sort l, -1\/9, 2\/17 in increasing order.\nAnswer: l, -1\/9, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 33*d**2 + 14*d - 145. Let l be p(-29). Calculate the highest common factor of 29 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 133670 and 1871380.\nAnswer: 1871380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 3*n**2 + 2*n + 2. Let x be y(2). Let h be -1*(-8)\/(0 - -2). Suppose -15 = -3*v - x*v, -h = -l + v. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*n**4 - 10*n**4 + 2*n - 10*n**4 + 2*n**2 + (4*n - 4*n - n)*(-2 + 2 - n**3) + 4 - 4 + 2*n**4.\nAnswer: -n**4 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23985856 is divided by 1998820.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 53380417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -6145 - -6127.862. What is n rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -10*y**4 + 3 + 6*y**2 + y**4 - 3*y**5 + 2*y**3 - 8*y**3 + 9*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/9 + 3288908*p\/3 + 19733456\/9.\nAnswer: -2*(p - 4933364)*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -46577032884392 + 1\nAnswer: -46577032884391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/2 - 195\/182?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z*z**(-4\/3))))**22\/((z*z**(-4)*z)\/z*(z*z*(z\/z**(2\/11))\/z*z)\/z) assuming z is positive.\nAnswer: z**(-203\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 12:36 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -0.03, 2\/3, -5, 36, -31 in increasing order.\nAnswer: -31, -5, -0.2, -0.03, 2\/3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (80\/(-100) - 489\/(-105)) + -3. Which is the closest to 2\/5?  (a) -18  (b) -4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2*j + 5 - 1)*(2 + 0 + 0).\nAnswer: 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66*l**3 - 39845*l + 5 - 5 - 20*l**2 + 44318*l wrt l?\nAnswer: -396*l - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 8*b. Let w(y) = 4*y + 20. Let n be w(-6). Let r be 2\/n*-4 - 0. Let h(a) = -a + r - 2. Determine f(h(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -16. Suppose 2*v = -u + 15. Let d(x) = 0 - x**2 - 6 + 5*x + 12 - 11. Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 o when four letters picked without replacement from {c: 4, b: 2, o: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.353 - 6.3. Let t = j + -32.053. Let y = -31.9984 - t. Round y to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**2\/3 - 10*j + 52\/3 = 0. What is j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1151 + 6190. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*p, -2*q + 4*q + 26 = -4*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1967*c + 261 = -1938*c. Solve -c*d = -8 + 35 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/168*3668\/(-4454)?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 15*r - 2 - 2*r - 2*r - 3. Suppose 6*y + 41 = 5*o + 2*y, -2*o = -3*y - 15. What is the tens digit of q(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*q**2 - 89 + 8775*q - 1550 - 44*q**2 - 556 = 0 for q.\nAnswer: -439, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2268964 + 0?\nAnswer: 2268964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, n: 5, k: 3, l: 1}. Give prob of picking 1 l, 1 k, and 2 n.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -73*71\nAnswer: -5183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226 is divided by 130.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 18*j**2 - 4*j + 3. Let m(x) = -18*x**2 + 3*x - 2. What is 4*m(i) + 3*q(i)?\nAnswer: -18*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + 4407.\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -5*n**3 - 9*n**2 + 7*n - 11. Suppose -26*t + 190 = 12*t. Let o(a) = -t - 26*a**3 - a**2 - 3*a**2 + 11*a**3 + 13*a**3 + 3*a. What is 4*j(z) - 9*o(z)?\nAnswer: -2*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 - 19705*o**2 + 14245280*o - 2376955700.\nAnswer: -5*(o - 322)**2*(o + 4585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 36*k - 171. Let h be j(-29). Sort h, 3, 1, -3 in descending order.\nAnswer: h, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2850\/300 - 1\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 293 + -290.14. Let u = -33.14 - z. What is the smallest value in 1\/10, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 32*x - 27*x + 7, 5*j = -4*x + 8. Which is smaller: -168\/11 or x?\nAnswer: -168\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 11. Let x = y - 6. Suppose -4*j + 0 = -4*p + 32, -5*p + 24 = x*j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*m**3*r**3 - 281*m**3*r - 2*m**3 - 170775*m*r**3 + 3*m*r + r wrt r.\nAnswer: -18*m**3*r - 1024650*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 1605*g + 45. Let v(c) = -73*c - 2. Calculate -2*h(j) - 45*v(j).\nAnswer: 75*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 158*k + 520. Give t(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3 + 95*a**2 - 160*a - 1200.\nAnswer: 5*(a - 4)*(a + 3)*(a + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 83 and 267 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 38 - 3. What is the remainder when 16 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f - 20. Let d(b) = -1. Calculate 4*d(l) - x(l).\nAnswer: -2*l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 789.7 rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -62499*c**3*m - 23*c**3 + 3*c**2 + 845*c wrt m?\nAnswer: -62499*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a - 5. Let f(d) = d + 10. What is 2*f(y) + 5*x(y)?\nAnswer: -3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6957 is divided by 136.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -399 + 127. Let n = -35 + l. What is the greatest common factor of 132 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -126824 divided by 3735?\nAnswer: -1528\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19040 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6, 5, -3\/5, -4\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, a: 6, q: 1, v: 4}. What is prob of sequence aaa?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbababbbbbb.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**5\/6 + 185*i**4\/6 + 364*i**3\/3 + 362*i**2\/3 = 0?\nAnswer: -181, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 105*j + 1 - 7 - 650*j + 6. Let i(k) = -17*k. Give v(i(b)).\nAnswer: 9265*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 157 - 150. What is the remainder when 71 is divided by (-5 - -19) + (o - 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14.1 * -8358.\nAnswer: -117847.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2013, -16906, -57549, -136818, -267589, -462738, -735141?\n\"Answer: -2146*u**3 + u**2 + 126*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13.33742kg?\nAnswer: 13337420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 45 = -5*g, 5*p - p = 5*g - 44. Solve 5*w + 18 = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -67729\/2598 + -42\/433. Let v = -51\/2 - l. Factor v*z + 2\/3*z**3 + 4\/3*z**2 + 0.\nAnswer: 2*z*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 6:47 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/(-38) + 10 + (-1155)\/120 and -97\/56.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6, -13, -28, -51, -82, -121, -168?\n\"Answer: -4*n**2 + 5*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 5\/78, -15, 322, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -24  (b) -2\/3  (c) 4  (d) -4  (e) -267\/2  (f) -2  (g) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 113388*a - 113383*a - 55. Suppose -5*o + 0*o + 90 = 0. Solve o = 2*w - 4*w - 2*u, u = 3*w + a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305264430 to the power of 1\/3, to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 5*l**2 - 3*l + 4. Let v(p) = -p**2 - p + 1. Suppose -5*d + 1 + 3 = -n, 3 = 3*n. Determine d*g(z) - 3*v(z).\nAnswer: -z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c - 8. Let n be q(-5). Sort 3, n, -16.\nAnswer: -16, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(-22))\/((-13)\/65)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0107084 to five dps.\nAnswer: 0.01071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 27 = -2*l, 5*l + 4*z - 34 = 8. Let d(k) = 5*k - 2*k + k**2 + l*k + 1. Let s = -32319 - -32313. What is d(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 11 = 4. Suppose r*b = -b. Let i = b - -3. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25154 (base 6) to base 12.\nAnswer: -21ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n - 9. Let w(t) = -t**3 - 3*t**2 + 6*t + 2. Let p be w(-4). Let z be r(p). Let g = 0.1 - 0.2. What is the third smallest value in z, g, -1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1919115 and 108405?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208 is divided by 0\/(-1) - 420\/(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34643956.\nAnswer: 2, 1997, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1694))\/sqrt(7) + (0 + sqrt(2) + 5 - (1*sqrt(16) + sqrt(16))\/sqrt(8)).\nAnswer: 5 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 4, 5, 182.\nAnswer: 4, 5, 28, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/9 + 4186*a**2\/3 + 2370790*a + 4989324554\/9.\nAnswer: 2*(a + 277)*(a + 3001)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 5, -4, -546?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = 5*d + 3*x, -6 = -2*x. Let l = 5 + 2. Let c(j) = 13*j - 3. Let o(k) = 4*k - 1. Determine d*c(r) + l*o(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 506, 948, 1390?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xyycoogogg. Give prob of picking 1 c and 2 y.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {x: 6, l: 5, y: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.12 + -5.12. Let y = 901 - 899. Which is the nearest to y?  (a) -4  (b) t  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m + 33 = 5. Which is the smallest value?  (a) -0.1  (b) 1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = d + 24, -4*d = 13*d - 22*d - 5*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4\/3, -0.4, -0.1354, -1\/3?\nAnswer: -0.1354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9868769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12412932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76 - 6379*n**3 - 137 + 213)*(0*n + 3*n - 5*n).\nAnswer: 12758*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 23 = -5*m + 7*m, -4*m + 29 = -5*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 + (16 - 8) - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 55\/2 of a milligram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 10 = -4*p, 120 - 93 = 6*s - 3*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -11 in increasing order.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000854158 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -631405b3?\nAnswer: -631405b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 118 - 35*i**4 - 118 + (-2*i**2 + 5*i**2 - 2*i**2)*(i**2 + 0*i**2 + 0*i**2) + 0*i**4 + 0*i**4 + i**4 as h*i**2 + n*i**4 + l*i**3 + u*i + k and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 - 52*o**2 + o + 52.\nAnswer: -(o - 1)*(o + 1)*(o + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 12 = -4*f. Suppose -f*h - 25 = -8*h. Solve 2*q + h - 1 = -4*u, 0 = 3*u + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2. Let z(c) = 1 - 1052*c**2 - 1 + 949*c**2. Determine u(z(v)).\nAnswer: -10609*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1120.5 - 7973. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -865*j**2 + 3420*j**3 + 864*j**2 - 3*j + 2*j + 1704*j**3.\nAnswer: 5124*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f + 10. Let j be l(2). Which is the closest to j?  (a) 1  (b) -0.4  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 70440458 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*x + 30 - 10*x**2 - 16 + 15.\nAnswer: -10*x**2 + 65*x + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4493\/11 - 409. Is 0 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -2\/5  (b) -5  (c) 52922  (d) 4  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (l**2 - 6*l**2 + 0*l**2 + (l**2 - l**2 + 2*l**2)*(0 - 1 + 2) + 1 - 1 + 2*l**2 + 19 - 19 + 6*l**2)*(1 - 4 + 1) in the form i + c*l**2 + g*l and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c**2*k - 29*c**2 + 1066*c*k**2 - 23*c wrt k.\nAnswer: 2*c**2 + 2132*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - r - 576 = 0, -2*k - 3*k + 2*r = -960. Suppose -p = -6*y + 2*y - 61, 3*y + k = 3*p. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29.0871 - -0.1\nAnswer: -28.9871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2415.710076 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -148\/5  (b) 5  (c) 0.2  (d) -0.4  (e) 2.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000063 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 10, 24*j = 20*j + 2*o + 3114. What are the prime factors of j?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 0 - (38 + -39)) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19)\/2*-443*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {k: 2, x: 1, q: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 657305 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/63041?\nAnswer: 2\/63041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*l - 21*l - 87 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33273 is divided by 124?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7807671 divided by -3321.\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 26368462 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-4)*6\/(-450)*40.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2*j - 5 = 1, -5*j = 20. Suppose -d = -c, 7*c = p + 8*c - 6. Suppose -2*r = 3*r - 5, 4*x = -p*r + 68. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f = -3*x + 12*f - 2, -14 = -2*x - 5*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3446671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.16, -178\/5, 0.3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/3885 and -43\/6216.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 5*g - 2. Let p be y(1). Suppose -5*k - 3*r + 14 = 0, 0*k - 3*k + p*r + 18 = 0. Let l = k - -9. Solve -4*j + 0 - 4 = -4*w, w = -3*j + l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -300  (b) 4  (c) 5  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 883 * 0.3.\nAnswer: 264.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6704 is divided by 1676.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011011 + 10?\nAnswer: 100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/17, 3.15, 0, 0.7?\nAnswer: 3.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 456 = 4*h - x, -4*h - 452 = -2*x. Let i = -62 - h. Let b = i + -11. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/34 - 2) + 2. Let a = r + 20\/51. Let x(n) = -89*n + 1063. Let z be x(12). What is the biggest value in z, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of 3*v**4\/2 + 78*v + 3880. Let r(g) = -g**3 - 11. What is 5*p(k) + 36*r(k)?\nAnswer: -6*k**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -196289*f - 169964 wrt f.\nAnswer: -196289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/4 + 178\/8. Suppose -2*l = -4*d + 4, -3*d - 6 = 2*l - m. Solve -5*j = u - d - 3, 0 = 2*j + 3*u + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 8) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + (0 - 2) + -48. Let x = n + 51. Factor -5 + 4 - 3*d**4 - 3*d - 9*d**2 + 7 + 3*d**3 + 6*d**x.\nAnswer: 3*(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -3  (c) 219.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132183 - 213937 = 8653*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 2*w**2 - 2*w - 1. Let k be t(-3). Let d(c) = -2*c**2 + 3*c - 5. Let u(v) = -3*v**2 + 2*v - 4. Let i(p) = k*u(p) + 3*d(p). Give i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43796, 4, -2, 3 in ascending order.\nAnswer: -43796, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -18\/834701 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1426086 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 436022?\nAnswer: 2, 311, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**2 - 2*c - 4. Let s(a) = -a**2 + 2*a + 5. Let h(f) = 4*l(f) + 5*s(f). Let y be h(0). Suppose y*d - 4*d - 210 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (7*(-4)\/4)\/(1\/11). Let i = a - -82. Solve -2*l = -l - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 15 - 83 = 0. Suppose w = -5*c - 6. What is c rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0169 and 0.05.\nAnswer: -0.000845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 15) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 34748000 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(2\/5)\/y)\/y)**43\/((y*y*y*((y**(-9)*y)\/y)\/y*y*y)\/(y\/(y\/y**(-10)))))**(1\/36) assuming y is positive.\nAnswer: y**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*i + 8 + 11*i**3 + i**2 - 10*i**3 - 3*i**3 - 3*i to k*i + p + g*i**3 + y*i**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -442490 + -4?\nAnswer: -442494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.9152 and 3330676?\nAnswer: 3330676.9152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.67 and 1320.1.\nAnswer: 2204.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(6\/11)*c*c\/c**(1\/9)*c**(-26)\/c**(1\/2) assuming c is positive.\nAnswer: c**(-4765\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 3 = 3*n, 0 = 4*l + 23225*n - 23220*n + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*h - 5, -5 = -2*h + 4*i + 11. Find the second derivative of -14*v + 92*v**2 + 12*v**5 - 92*v**h wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50.1 - 6.9. Let d = -56.9 - q. Let o = -50 + 148\/3. Which is the closest to -1?  (a) o  (b) 2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 5*y + 9. Let d be h(-6). Let o be (-381)\/36 - (-1)\/d. Let m = -541\/52 - o. Sort 5, 1\/3, 0, m.\nAnswer: m, 0, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 7*o + 4. Let l be p(0). Suppose l*u = 529 + 471. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12193 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: Find the third derivative of 3*b**3*g**4 + 219*b**3 - 9*b**2*g**4 + 2*b*g**2 + 12*g**4 wrt g.\nAnswer: 72*b**3*g - 216*b**2*g + 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.58 - -4.58. Which is the second biggest value?  (a) 2\/23  (b) -0.5  (c) 1  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010100000 + -110100?\nAnswer: 10001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - -7. Let j = 15 - g. Let b(v) = -v**2 - 4*v. Let c be b(-3). Sort j, 0, c in decreasing order.\nAnswer: j, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*k + 8*k. Suppose -5*j - k = -6*j. Suppose -4*x = -5*h - 83, -x + 4*h = j*x - 115. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3057031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2\/4 - 331585*x\/4 - 331595\/2.\nAnswer: 5*(x - 66319)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 14, 5 in increasing order.\nAnswer: 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of j**5\/20 + j**4\/6 - j**3\/6 - 2*j**2. Is l(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4706, 9417, 14112, 18791, 23454, 28101?\n\"Answer: -8*m**2 + 4735*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 + (-22)\/(-4))*(-4)\/(-5). Let c(d) = 4*d**3 - 3*d**2 + 2. Let h(m) = -9*m**3 + 7*m**2 - m - 5. Give x*h(s) + 5*c(s).\nAnswer: 2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -36 + -19644?\nAnswer: -1967a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -4*z**4 + 592*z**3 + 806196*z**2 = 0.\nAnswer: -381, 0, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 210 + -217. Let a(x) = -2*x**3 - 11*x**2 - 11*x - 3. List the prime factors of a(d).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 539 a factor of 126406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -2\/132033 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -469 + 301. Let j = -7 - g. Which is the biggest value?  (a) -3  (b) -2\/7  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*m - 9. Let f be -1 + 299*6 + -8 + m. Suppose -f = -8*n - 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*o**3 - o - 6*o**3 + o**2 + 16*o**3 to the form r*o + j*o**3 + d*o**2 + l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 8.3. Let s = i - -0.7. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*d**2 + 37*d**2 - 10*d**2 - 13*d**2 + 2*d**3 - 3*d**3 - 30*d + d**4 to the form m*d**4 + r*d**2 + o*d**3 + g + v*d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62780.\nAnswer: 2, 5, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(-1\/7)*k))**(8\/3)\/(k**(-1\/11)\/k**(2\/3)) assuming k is positive.\nAnswer: k**(263\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38 (base 11) to base 3.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 10*d - 359. Calculate b(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -48, -10, 1 in ascending order.\nAnswer: -48, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)*-3 + sqrt(112) + -4)**2 - -4*(0 + sqrt(112)).\nAnswer: 80*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 48921656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 17295823859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -10112 - 3?\nAnswer: -10115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -3. Let o = k + 4. Suppose -3*a - 3*p + 24 = 0, o = -3*a + 3*p - 3. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(208)*-1 - sqrt(208))*-6)\/(sqrt(72)*3))\/((sqrt(2200)*-2)\/(sqrt(176)*6)))**2*1.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34\/9 + 164\/45. Let w(k) = k**3 + 5*k**2 + 3*k - 3. Let z(s) = 3*s - 1. Let g be z(-1). Let j be w(g). Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -88*j - 40*j + 35*j - 18*j - 43*j + (-2*j + 4 - 4)*(-2 - 1 + 2) + j - 2 + 2 - 5*j + 5*j + j - 3*j - 7 + 7.\nAnswer: -153*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4382 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2.8 * 131023.3\nAnswer: 366865.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 457 = 5*d + 12. Let g = 78 - 63. Calculate the remainder when d is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 + p + 1. Let v(c) = 3*c**2 + 28*c + 9*c**2 + 40 - 16. Let g(t) = -8*u(t) + v(t). Factor g(a).\nAnswer: 4*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43 + -40. Solve 2*v - v - o = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((-1*-1*sqrt(13))**2 - sqrt(156)\/(sqrt(12)*-2)) + (sqrt(91) - 1*sqrt(91)*4)\/(sqrt(7) - -3*sqrt(7)*-2) + 4)*-1.\nAnswer: -13 - 11*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 2:00 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1069 = -13*s - 1082 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2959 - 104*w**4 + 0*w + 0*w + w - 117*w**4 - 142*w**4 wrt w?\nAnswer: -4356*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 12 = -h. Suppose g - h = -g. Suppose j = -2*w - 1, -16*j + 12*j = -2*w + 4. Solve -2*z - g*z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 462\/(-14)*234\/(-156)*2\/(-3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 130 and 143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.02 + 4. Let h = p + 0.02. Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10*(-8)\/2240)\/((-4)\/(-12)*3).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(832) - sqrt(832))\/(-1*sqrt(324)).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010110001 + 10110101101100101?\nAnswer: 10110100010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 40*l - 5. Let u be ((-8)\/24)\/((-468)\/(-216)) + 24\/(-13). Let m(z) = -40*z + 4. What is u*p(a) - 3*m(a)?\nAnswer: 40*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 745189582?\nAnswer: 2, 372594791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 26 = -4*a, -3*a + 33 = 2*l - 6*a. Calculate the remainder when 74 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 7*t**2 - 2*t - 10. Let f be y(-7). Suppose -4*w + f = -92. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0192 + -1661\nAnswer: -1660.9808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4377*z - 2062*z + 1 + 683*z + z - z - 2*z + (-z - 2 + 2)*(2 - 5 + 4) - 2*z + 0 + 0 + 2*z + 0 + 0 + 2*z - 3*z - 2*z to m + d*z and give d.\nAnswer: -5762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*d - 536 = 13*d - 0*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.03 + -0.03. Let j = -4 - -3.3. Let d = -0.5 - j. Sort k, d, 3 in decreasing order.\nAnswer: 3, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of -6 + 158 + 19 + -43 and 1344.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -1. Let x(m) = 8*m**2 - 7. Let g(l) = -2*l + 2. Let w be g(4). Let d = 5 + w. Let n(q) = d*x(q) + 2*r(q). What is the derivative of n(y) wrt y?\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 431, 37\/5, 6.\nAnswer: -4, 1, 6, 37\/5, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**2 + 3*c - 3. Suppose -133*u = -134*u - 3. Let k(v) = -7*v**2 + 8*v - 8. What is u*k(s) + 8*w(s)?\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/58773042 and 119\/24?\nAnswer: 235092168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - 24.9995. What is a rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33, 525, 1017, 1509?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 0. Let s(v) = 12*v**3 + 9*v**2 + 3*v - 6. Let g(h) = 17*h**3 + 14*h**2 + 4*h - 9. Let i(w) = -5*g(w) + 7*s(w). What is the hundreds digit of i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61 + 56 - 6 - (-33 + -2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 524 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2*r = -52. Suppose -r - 43 = -3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10.7 + -5.7. Sort -1, -4, p, 14.\nAnswer: -4, -1, p, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jmgmmggjjmg. What is prob of picking 2 j and 1 g?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 168*i**3 - 7*i**2*z**2 - 3*i**2*z - 2*i*z**2 + 21658*i wrt i.\nAnswer: 1008*i - 14*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.287 - -0.187. Let g = -11 - u. Which is the third smallest value?  (a) g  (b) 5  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40205 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 3*w**2 - 4*w - 10. Let o = -30 + 27. Let l be f(o). Let r(g) = -l*g + 1 - g + 4*g. What is r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hdml when four letters picked without replacement from {g: 3, m: 2, l: 4, r: 2, h: 2, d: 1}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c**2 - 31 + 55 - 24.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/7*(-1596)\/855?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 10*z - 251 - 70 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + 33. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -59.359, 2, 0.4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -8004 less than -1092.91?\nAnswer: 6911.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(495)\/(sqrt(22)\/sqrt(2)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -47, -43, -39?\n\"Answer: 4*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2 - 4. Let b = -2 - g. Solve z = q + 6, 0*z + z - 15 = b*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 1\/5  (c) -0.4  (d) -8\/7  (e) -0.2  (f) 16\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 96, 199, 302, 405, 508, 611?\n\"Answer: 103*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + 5*v**2 + 3*v + 1. Let o be y(-4). Solve 2*c + c - 10 = 2*q, -25 = -o*c + 5*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 4*n + 1. What is m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 4.4. Let y be ((-6)\/4)\/(3\/(-6)). Suppose 0 = -4*g + 23 - y. Put -2\/19, o, g in ascending order.\nAnswer: o, -2\/19, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3122002 + -1?\nAnswer: -3122003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -382684 (base 11) in base 14?\nAnswer: -11a05b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.12 - 0.06. Let u = n + 2.94. Let y = 2.8 - u. What is the second smallest value in -4, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 1)*(0*j + 0*j - 2*j) + (1 - 5 + 2)*(-3 + 2 - 2)*(3*j - 5*j + 4*j + (8*j + 30*j + 6*j)*(0 + 4 - 2) + 3 - 3 - 3*j).\nAnswer: 528*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 468868201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 35 = 2*y. Suppose -y = -5*j + p, j + 2*p - 6 = 2. Let t(x) = -x**2 + 3*x - 4. What is t(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59932163?\nAnswer: 59932163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b**2. Let u(f) = 552*f + 230. Let n(j) = 29*j + 12. Let t(p) = -115*n(p) + 6*u(p). What is t(m(z))?\nAnswer: -92*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4*t + 29 + 0 = 0, -2*n - 9 = -3*t. Suppose 3*a = -5*w - 7, -a + n = -4*w + 3*w. Let x = -4 + a. What is the smallest value in 0.01, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 179 - -58. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of 45*h**2\/2 + h + 1. Suppose 2*w - 10 = -3*w. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 27.31 and -0.5.\nAnswer: -13.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*b - 20 - 78 = 0, 0 = -4*z - 4*b + 84. Which is bigger: z or -194?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -6*i**2 + 437. Let j(z) be the second derivative of 0*z**2 + 1\/6*z**3 + 2*z + 0. Give k(j(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 122 - 122. Let o be (-6)\/(-5)*-5 + 5. Put d, o, -3 in descending order.\nAnswer: d, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -156454 (base 11) to base 7.\nAnswer: -2030554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 25*z + 82. Let q be b(-2). What is the greatest common factor of 88 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of 0*m + 1\/3*m**2 + 26 + 1\/9*m**3. Factor a(h).\nAnswer: h*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 0.07, 2\/3, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1650 - -20?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5787 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttetttwwwjtjtet. Give prob of picking 1 j, 1 e, and 2 t.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -477 - -477. What is the nearest to m in -5, 0.3, -21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -8*t**3 + 4*t**2 - 2*t + 4. Let d(w) = w**3 - w**2 - 1. What is -4*d(x) - n(x)?\nAnswer: 4*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 + -24. Solve -2*u + l + 2 = -5*t, -u = -4*t - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 6932 = -3*h, 107 = -2*g + 91. Calculate the highest common factor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/13*(-2 - -1) - 2. Let l(a) = 18*a**2 + 3*a. List the prime factors of l(d).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2. Let r(w) = -5*w**2. Let k be (-30)\/8 - (-1)\/(-4). Let o(h) = -h**2. Let s(v) = k*o(v) + r(v). Determine s(t(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4703*w**3 - 3*w**2 + 9434*w**3 + 0*w**2 - 4728*w**3 + w + 436 to the form h + j*w**2 + t*w**3 + b*w and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1080 - 1064 - ((-3915)\/(-280) + 2).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10d57 (base 16) in base 5?\nAnswer: -4201301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y + 4*y + 0*y + 2*y**2 + 0*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-7))\/(99\/567*28\/(-154))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39679 + -38035.3. What is t rounded to the nearest ten?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 11380701 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 755050429?\nAnswer: 7, 137, 787331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 17*v**2 - 9*v - 7. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -50646 or -50637?\nAnswer: -50637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1))**(-5\/4)\/(y**6*y**(-6)))**15 assuming y is positive.\nAnswer: y**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + (sqrt(1900) - (3 + 2*sqrt(1900))) + -1)**2 + ((-6*(sqrt(190) - -1*sqrt(190) - sqrt(190)))\/(sqrt(90)*-5 + sqrt(10)))**2.\nAnswer: 955\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/9)\/g*g**(-4\/11)*g)\/(g\/(g\/g**(2\/29))*g)**(2\/23) assuming g is positive.\nAnswer: g**(-15476\/66033)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (45\/20)\/((-9)\/(-6)). Let w = 5 + -4. Let j = 67 + -263\/4. What is the nearest to w in -1\/5, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11810150 (base 9) to base 16.\nAnswer: 5866d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/20 + 51\/(-204). What is the nearest to -3 in -7, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -378*t + 98. Calculate w(0).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1227 + -1051. Which is the closest to -2?  (a) 1\/5  (b) -2\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7476805 is divided by 695?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 + 136. Suppose 3*j - z = -0*j. Suppose 5*x - j = 21. Solve -4*u = x, -2*l = -l - 5*u - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of 0*n + 12 + 1\/8*n**4 - 2\/3*n**3 + 3*n**2. What is p(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6765207331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d**4\/6 + 7*d**3 - 25*d**2 + 90*d + 2. Does 14 divide p(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 755, 1648, 2601, 3638, 4783, 6060?\n\"Answer: 4*s**3 + 6*s**2 + 847*s - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.0493 times -0.1\nAnswer: 0.00493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + r + 1. Let d(u) = -3*u**4 - 48*u**3 - 237*u**2 - 237*u + 528. Let a(n) = d(n) - 3*l(n). Factor a(g).\nAnswer: -3*(g - 1)*(g + 5)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((100\/48)\/25)\/(-8*(-117)\/(-416)).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -524*x - 1086. What is the tens digit of w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104481 and 313443?\nAnswer: 313443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 3 = 3*g. What is the second smallest value in -2\/7, g, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78657.87kg in tonnes?\nAnswer: 78.65787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 19149?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27676122 is divided by 242773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, u: 5, v: 3, s: 3}. What is prob of picking 1 s and 2 u?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 178560 or 178552?\nAnswer: 178552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/36 and (-4218)\/(-1620) + (-20)\/50.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k - 4. Let m be l(7). Suppose -2*t - m*c - c = -198012, -4*c = -4*t + 395988. Round t to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(5\/4)*z**34*z**(-32)\/(z\/z**(1\/21)*z) assuming z is positive.\nAnswer: z**(193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*k + 5. Suppose -w - k*w + 220 = 0. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 74*c + 3*c**2 - 11*c + c**3 - 1 + 24*c + 37*c - c**2 as r + m*c + o*c**2 + l*c**3 and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 381.98 and -0.1.\nAnswer: 381.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2 - 3 = 0. Let f be (-6)\/(-42) - z\/(-7). Suppose -3*a - c = -2*a, f = -2*a + 2*c. Which is bigger: a or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 391642.\nAnswer: 2, 59, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 189 and 50744673?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.94 - -2.94. Which is the biggest value?  (a) 1\/2  (b) 1\/19  (c) -1  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -1308?\nAnswer: -130a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 70793*t**3*x**2 - 125*t**3*x + 2*t**2*x**2 + 3*x**2 - 97411*x wrt x.\nAnswer: 141586*t**3 + 4*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10956808?\nAnswer: 2, 211, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -17286 divided by -2881?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2278, -4597, -11472, -18347, -25222, -32097?\n\"Answer: -6875*z + 9153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (6 + -1 + -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2386131 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d + 1. Let w be f(1). Let r(j) = 21*j - 21*j - j**w. Let l(q) be the second derivative of q**4 - 15*q. Determine l(r(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - i - 26 = -3*k, 4*i + 2*k = 24. Let u = 397 + -9133\/23. What is the biggest value in u, i, -1\/25, 2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8027332679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32579242 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 98 - 242 - 11*a**3 - 5*a**3 - 114 - 2*a**3 wrt a?\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1152)*-2 - sqrt(1152))*3*3)\/((sqrt(256)*1)\/(-6*(sqrt(4) - (sqrt(4) - (sqrt(4) - sqrt(16)\/sqrt(4)))) + sqrt(4))))**2.\nAnswer: 13122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(147) - (sqrt(147) + ((-2*sqrt(147))**2 + sqrt(147))*-1)) + 0 + -2 + 2.\nAnswer: 7*sqrt(3) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264*q - 159145 = 226*q + 255321. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and (-1)\/((-12)\/(-14) + -1).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 129075768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 11:15 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**1)\/t**17)\/(t**5\/t)**0 assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13114647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29.8 - -49.7. Round x to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -575, -479, -383?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 252 + -147. Calculate the greatest common factor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 15. Suppose -32 = w*n + 4. Is (-54)\/(-7) + n\/(-42) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 31928188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 33227 (base 8) to base 12\nAnswer: 8107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 3)*(-3*y - 2*y + 4*y) - 2*y + 2*y + 2*y - 17 - 660*y + 284*y + 329*y.\nAnswer: -44*y - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 142 = -2*m, -27 = 2*s + 3*m + 54. Let p be (11\/s)\/((-4)\/(-3)). Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 46?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1648 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 819*y = -603 + 3060 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 1621 = 4*y + 5*j, y - 406 = -j. Let s = y - 149. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b**3 - 3*b**3 - b**3)*(-5213*b + 96668 - 96668) as y*b**4 + h + z*b**3 + j*b**2 + q*b and give y.\nAnswer: 10426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5783167.8ns?\nAnswer: 0.0000016064355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4*k - 5. Let n(v) be the first derivative of 9*v**2\/2 - 11*v - 161. Determine -5*h(y) + 2*n(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 15. Let h = g - 5. Let y = -10 + h. Is 0 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15*r**2*z - 9559*r**2 - r*z + 38*r + 28726092*z wrt r?\nAnswer: -30*r*z - 19118*r - z + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -101*k**4 + 150*k**2 - 107*k - 21634417 wrt k?\nAnswer: -404*k**3 + 300*k - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + r**2 + 6848. Let j be f(0). Suppose 0*p + 5*p = -3*s + j, 4109 = 3*p + 2*s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8228116474079 + 0.13.\nAnswer: -8228116474078.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*n - 5. Let w = 6 - 4. What is the third derivative of 4*u**2 - u + 5*u**n + u - 3*u**w wrt u?\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 737444160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36954 is divided by 36927?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 463719 + -0.157717.\nAnswer: 463718.842283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o*o**13*o)\/(((o**30\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 6*m**2 - 21. Let f(o) = 5*o**2 + o - 18. Let c(s) = -4*b(s) + 5*f(s). Calculate c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5173*j**5*o - 30*j**3 + 3002588*j**2 - 2*j*o wrt j.\nAnswer: 310380*j**2*o - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-918)\/(-63)*(-2359)\/(-337)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/5)*l**6*l*l)\/(l**(2\/3)\/l)**(-1\/3))\/(l**(-1)\/l**(-5)*(l*l**(-1))**(1\/29)) assuming l is positive.\nAnswer: l**(166\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18516904 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 9:24 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22 * 236778.\nAnswer: 5209116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 662271570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v - 10. Let y be w(-12). Suppose -2 = -2*c - 2*j - 6, 5*c - y*j = 11. Let d = 438 - 436. Put d, c, 0.1 in descending order.\nAnswer: d, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34142 (base 6) to base 12.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 9*p + 90 = 0. Let j be 14\/35 - 1\/p. Sort -6, j, 2.\nAnswer: -6, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -69 + -c?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7.871216 litres?\nAnswer: 7871.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11622 - -585. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l + 43. Let t be p(-18). Solve 9*b = t*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 - 2*j + 1. Let z be l(3). Let t(r) = -r**2 - 1. Let a(g) = g**3 - 10*g**2 - 2*g - 1. Let x(n) = -a(n) + 6*t(n). Is x(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 71.2 + -71.777. Let l = -5.577 - q. What is the smallest value in l, 76, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 363 - 38. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 - -2.6. Let o = h - -10. Let v = 7 - o. Put v, -4, -1\/3 in increasing order.\nAnswer: v, -4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 169 - 104. Suppose 0 = h - 5*h - 3*y + l, -h + 4*y = -21. Suppose 0 = -u + 62 - h. What is u rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 6*x. Let c be p(-6). Let v(h) = h**2 + 6*h + 8. Let r be v(-6). Solve 3*i - q = -r, -2*i - 2*q + 4*q = c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 7.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.292 + -189.508. Let f = -191.800002334 - g. Round f to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 - ((2 - -1) + 13 + -13)) + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 41966690 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 138044304 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 204016 divided by 16?\nAnswer: 12751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -63 - (1 - 34).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/201, 0.1, -0.4, 79, 5 in ascending order.\nAnswer: -0.4, -1\/201, 0.1, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -54*j - 112. What is the hundreds digit of s(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c + 6*c - 4*c + (-1 + 2 + 0)*(-1 + 1 + 2*c) + (1 - 1 - 2*c)*(-3 - 2 + 3) + 46*c + 26*c + 31*c.\nAnswer: 114*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 10*q**4 + 2*q**2 + 6*q - 6. Let m(p) = p**4 + p**2 + p - 1. Let l(g) = h(g) - 6*m(g). Find the third derivative of l(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -997 divided by 293665.\nAnswer: -997\/293665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05*-3.7.\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 44 = 2*q. Let v = 13 - q. Find the second derivative of 2*j**2 - 3*j + 2*j**2 + 0*j**v + 3*j**2 wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 717 (base 11) in base 12?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1389, 8\/5, -4, -0.05 in decreasing order.\nAnswer: 8\/5, -0.05, -0.1389, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 2*sqrt(11) + sqrt(11) + -3 - (-1 + sqrt(11) + 3))**2 - (0 + sqrt(176) - (sqrt(33)\/sqrt(3) + 1 + sqrt(11))))*5*3.\nAnswer: -480*sqrt(11) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(1\/4)*y)\/y)\/(y*y\/(y**2\/y)))**34 assuming y is positive.\nAnswer: y**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 34 + 124 = 0. Let a = g - 14. Suppose -a*b + 34 = -2*p, 5*b - 3*p - 45 + 4 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2 + 0 - 3 + 3*f. Determine l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-107)\/((-4708)\/(-165))*2\/(-9)*3.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*c**2 + 324*c - 324*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d**2 + 44*d + 47. Let m(l) = -l**2 - l. Let o(z) = -g(z) + 2*m(z). Determine s so that o(s) = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 3*g - 15 = 0, 2*b + 24 = -2*b - 4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 2*j = -52, 5*j = -3*r + 2*j + 33. Let q be ((-585)\/r)\/13*(-39176)\/(-6). Let z = 239382 + q. What is z rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-25))\/((-11)\/(-55)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -197 and 0.3.\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(((d\/d**(-2\/21))\/d)\/d))\/d**(-6\/37) assuming d is positive.\nAnswer: d**(1606\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17114, 17119, 17128, 17141, 17158, 17179?\nAnswer: 17204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 539*d**2 - 48*d + 11. What is c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 75 - 330. What is the hundreds digit of (-28)\/4 - p - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 13) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 84 - 39. Suppose d = 5*q - 20. What is the greatest common factor of q and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1701186554.\nAnswer: 2, 43, 71, 278609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * 1.6.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k + 3818 - 3818 + 5*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**5 - 60955*d**4 - 928481694*d**3 + 12079224032*d**2 - 20444033632*d = 0.\nAnswer: -30484, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -218833214.43035 - 3465.56965. Let c = 218836685.56000257 + s. Let o = 5.56 - c. Round o to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1721 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*l**2 - 430*l + 428*l - 4*l**3 - l**2 + l**4.\nAnswer: l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(171) - sqrt(171)*2*2 - sqrt(171))\/sqrt(3))\/(-6*sqrt(36)\/(sqrt(60)\/sqrt(5)))*-1*2.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2. Let v(n) = -46*n**2 + 92*n + 24. Let t(x) = 6*o(x) - v(x). Factor t(m).\nAnswer: 4*(m - 2)*(13*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 94*i - 157. Suppose -36*d + 564 - 96 = 0. Is 51 a factor of x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/2*(-7)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 546531781 by -197.\nAnswer: -2774273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**6 + 6373066*h**5 + 3*h**2 + 1408365 wrt h.\nAnswer: 120*h**3 + 382383960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 24 = -2*l, m = 2*m + 3. Let t = 71 - 77. Let y(k) = -2*k - 13. Let w(n) = n + 7. Let g(b) = t*y(b) - 13*w(b). What is g(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 n, and 2 o when four letters picked without replacement from olnlnonnmmynno?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6*(-81)\/(-486))\/((-2 - 0)\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(2299) - 3*(0 + sqrt(2299)) - sqrt(2299)))**2 - -2*((sqrt(1216) - sqrt(1216)*-2) + -4)**2.\nAnswer: -384*sqrt(19) + 208139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -0.1, -29, 3, -4, -2\/71?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2023 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 + 693 + 697 + 695 + 695 - 2780.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z + 15. Let s be l(12). Suppose -n - 4*w + 951 + 1151 = 0, -3*w = s*n - 6279. Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-9 + 2)) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 102\/7066595?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15443352 is divided by 1098?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 - x**4 + 4*x**3 + x + 0*x**3 - 2*x**2 + 21 - 3*x**3 as o*x**4 + w*x**3 + i*x + f + g*x**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -79 by -13.\nAnswer: 79\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 5*p - 60 = -5*n, -34 = -3*n + 2*p. Solve 0 = g + 7 - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 234434686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d - 1 + 1)*(-5 + 1 + 2) + 2*d + 0*d + 0*d - 2*d + 4*d + 0*d to the form v*d + q and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 2:19 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33.1 + 33. Is 31 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p - 6. Suppose -l + 7 = -b, -7*b + 2*b = -l + 35. Let j = 1 - b. Let m be w(j). Solve -4*t + 14 = m*z, 0*z = 5*t - z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 268275 = 3579*d for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 1*-2 - (-1 + -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 6*r + 4. Let c(l) = 34*l + 7. Let k(m) = 42*m + 9. Let x(b) = 6*c(b) - 5*k(b). Calculate 5*o(f) + 6*x(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13001111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 6:06 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + 10 + 0)*(49 - 50). Let v be (-4)\/s - (-26)\/(-40). Let l = -35 - -34.8. What is the closest to -1 in l, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, u: 1, v: 1, k: 1}. Give prob of sequence uk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -354*f + 4510. What is t(9)?\nAnswer: 1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 0.132, -13, 2\/3, 3.\nAnswer: -13, -9, 0.132, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.5 > -0.0601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 + -705605.\nAnswer: -705597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -111011111?\nAnswer: 111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -176*f + 4. Let w(d) = 118*d - 3. Determine 5*r(o) + 7*w(o).\nAnswer: -54*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - i = 100. Let y be (30\/i)\/((-3)\/4). Solve -y = -4*o + k, 0*o = -2*o + 2*k - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128700 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2. Let h(b) be the first derivative of b**5\/40 + b**3\/3 + 2. Let a(y) be the third derivative of h(y). What is i(a(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1238 divided by -2\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**5\/20 - x**4\/3 + x**2 + 3*x. Let r be w(4). Find the second derivative of r*u - 4*u**4 - 9*u**3 + 9*u**3 wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/3 + 10\/21. Suppose 26 = -30*c - 34. Let h = 4.93 - -0.07. What is the third smallest value in c, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1058.2263 * -1\nAnswer: -1058.2263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 + (-890)\/(-40))\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2212011101 - -21112?\nAnswer: 2212102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - 0. Suppose -4*s - 139 = 5*z, -2*s + 4*z - 76 = -0*s. Let m be (1 - 15)*(5 + s\/8). What is the third smallest value in -1\/4, k, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15307406 divided by -5.\nAnswer: 15307406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1069059 and 176563.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 40*z - 203. Determine k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t - 2. Let i be p(2). What is the units digit of (-3 + i)\/((-9)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1513 divided by -3569?\nAnswer: -1513\/3569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 16853.347 to the nearest one hundred.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.3185889 kilograms?\nAnswer: 318.5889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 - 24. Solve -2*j - w - 7 = 0, -a*j - j - 18 = 3*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2538 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 36\/16 + 3\/4. Suppose 0 = -6*g + 4*g + 4*r - 28, 0 = h*g + 5*r - 13. Which is the biggest value?  (a) -2\/15  (b) g  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4738, -4740, -4742, -4744?\n\"Answer: -2*z - 4736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 1. Suppose -3*y - 5 = 2*v - 0, -30 = -4*v + 2*y. Suppose p = v*w + f + 2*f - 25, 4*w - 33 = -5*f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 + 6*y + 10. Suppose -4*r + 118 = -9*b + 7*b, -4*b + 64 = 2*r. What is the remainder when r is divided by t(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -4*s**2 - 16*s + 128 = 0.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*h + 21*h - 51*h - 3)*(h**3 + 2*h**3 - h**3).\nAnswer: -10*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 9:45 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -127640 + 127639.80999936. Let i = -0.19 - p. What is i rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 31 - 142. What is the remainder when 68 is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 6*l - 7. Let b be (26\/3)\/((-2)\/3). Let w = b - -18. Does 14 divide s(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + 11*q + 13. Let p be y(11). Solve -5*r = -3*j + 10, -5*r = -j + p + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 4*z - 2. Let f = -3 - -7. Determine c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -6, 99, 0, -3 in decreasing order.\nAnswer: 99, 4, 1, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-10414)\/(-5248))\/127)\/((2\/(-8))\/1).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18039400?\nAnswer: 2, 5, 90197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**2. Suppose -5*c - x + 59 = -3*x, -15 = -5*x. Let l(h) be the second derivative of 0*h**3 + 0 + 0*h**2 + c*h + 1\/6*h**4. Give l(m(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*x = -125*x + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1)\/3)\/(3\/(-72)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 664*x - 668*x + 216 = 0. Let i(u) = -u**2 + 6*u + 7. Calculate the remainder when x is divided by i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m + 7. Let q be 2 - (0 - (1 - -3)). Let u = 0 + q. Is z(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -220*g**4 - 420*g**3 + 2*g**5 - 18488*g**2 + 18228*g**2 - 38*g**5 - 24*g = 0. Calculate g.\nAnswer: -3, -2, -1, -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lblbblb. Give prob of sequence lb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from phkojhkohkh. Give prob of picking 2 p, 1 h, and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 458 a factor of 176570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2213818*b**2 - 15 - 10*b - 11 + 2213816*b**2.\nAnswer: -2*b**2 - 10*b - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*i - 13. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 8*t - 14. Let q(p) = 13*p - 22. Let g(o) = 8*a(o) - 5*q(o). Give g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/110)\/(2\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 44839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -10. Suppose 0*o + 2070 = -18*o. Let a = -102 - o. Solve -3*s + a = j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 139, -2, 0 in decreasing order.\nAnswer: 139, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 51533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, -0.23, 1\/2, -0.8, -34\/3, 1\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*n**5 - 58*n**4 + 28*n**3 + n - 244857 wrt n?\nAnswer: -100*n**3 - 696*n**2 + 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/3)\/(25\/6 - 4). Let d(a) = 10*a + 1 + 2*a + 33*a. Is d(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 2:14 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t - 1. Let y be a(-3). Let u = 4.6 + -4.5. What is the closest to -0.3 in -2, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1728)\/5670 + 7*6\/147.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1764, -4, 15, 1, 0, 5.\nAnswer: -4, 0, 1, 3, 5, 15, 1764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) + -1 + -1 + sqrt(363))**2.\nAnswer: -88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c = 3*c + 15, -4*m = 3*c - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -3*u - 2961, -3*u - 4943 = -0*s - 5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**2 - 6*v - 6. Suppose 2*o - 3*o = 6. Let g(x) = -2*x**2 - 7*x - 6. Let h(w) = o*g(w) + 7*q(w). Differentiate h(f) with respect to f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 770671905 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 3 = -22. Solve 0 = a + 3 - d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xhl when three letters picked without replacement from {h: 4, l: 3, k: 2, x: 1, f: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/1870 and -67\/1195865.\nAnswer: 2391730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/35 and -4\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, 1, -0.4 in decreasing order.\nAnswer: 1, -0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5412, 5392, 5366, 5340, 5320, 5312, 5322?\n\"Answer: w**3 - 9*w**2 + 5420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10523880 divided by 152520\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m = -8*m + 15. Let d be (3\/(-2))\/(m\/8). Suppose -d*j = -21 + 5. Solve -h - 7*f + 4*f = -9, 0 = 2*h + j*f - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43254 (base 6) to base 2.\nAnswer: 1011100110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dcwec. What is prob of picking 1 e, 2 c, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25899137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**2 + 4*v + 2. Let i be z(-2). Suppose -3*y + i = -0*y. Suppose -y*q - q = -63. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 7*m + 13. Is t(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 - ((-22 - -8) + 8 - -14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4b0 (base 15) to base 6\nAnswer: 4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 25*g**2 - 26*g + 3. Let s be x(-26). Let m(d) = 4*d**2 - 3*d**3 - 6*d + 12 + 9*d**s - 5*d**3 + 4*d**2. Give m(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 108223.\nAnswer: 216446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1290 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from isjjsfssiiuiussi. What is prob of sequence sis?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -5*k**3 - 127855*k**2 - 383530*k - 255680 = 0.\nAnswer: -25568, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 3)*(2 - 6 + 1)*(2 - 5 - 24)*(2*b**3 - 3*b**3 + 4*b**3).\nAnswer: -729*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 57*c + 210. Calculate w(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03 + -33973.\nAnswer: -33973.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2998, 3026, 3070, 3130, 3206?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -618 by 153573.\nAnswer: -2\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.04 or 1758.7?\nAnswer: 1758.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -414 + -402?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i + 18. Let c be m(9). Suppose 0*x - 271 = -3*a + 4*x, c = 5*a - 2*x - 433. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13338 + -13337. Put u, -401\/3, -2\/15 in decreasing order.\nAnswer: u, -2\/15, -401\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 9:51 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/5 - 8\/5*i**2 - 2\/5*i**3 - 2\/5*i.\nAnswer: -2*(i - 1)*(i + 2)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f + 32. Let l(y) = -2*y**2 + 87*y + 1493. Let u be l(-13). Determine a(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of s**6\/360 - s**4\/12 - s**3 - 1. Let h(l) be the third derivative of c(l). Find the first derivative of h(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - b + 26 = 2*u, -295*b + 300*b - 43 = -u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**2 - 4*j**2 + 3*j**2)*(-23 - 147*j + 40 - 16).\nAnswer: 588*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -62637*i + 5825249. What is b(93)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 565191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 7:53 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*f + 11*f**2 + 74*f + 15*f**2 as u*f**2 + o + k*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 66*h - 32. Let s(m) = 2*m**2 + 20*m + 6. Let t be s(-10). Is y(t) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 s when three letters picked without replacement from {x: 1, v: 8, s: 6, l: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 3)*(4 - 8 + 9530*p - 9525*p).\nAnswer: 10*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t - 4*t - 3*t + (1 - 1 - 2)*(2*t + 0*t - t) - 455*t - 660 + 660)*(1 + 0 + 2).\nAnswer: -1383*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of 8*r**4\/3 + r**3\/3 - 3*r**2\/2 - 10*r. Is w(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -122, -180, -240, -302, -366?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12015 and 2985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/5)*t**3*t)\/((t*t\/(t*t**1)*t)\/(t**(1\/5)*t)))\/(t**(-6)\/(t**(1\/2)\/t)*t**(-3\/7)\/t**(-1\/3)) assuming t is positive.\nAnswer: t**(2099\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 200903118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 6 - (8 - (9 + -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 193620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.7339411 centuries?\nAnswer: 880.72932","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (97 - 106)*(-2)\/(-60).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32999 - -33004. What is the nearest to 4 in -1\/4, 61, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1363554 > 31361759\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/28 - 1\/7. Let c = 17.87 + 56.13. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**2 + 14*q + 5. Let x be v(7). Suppose 3*y + x*w - 2572 = -y, 5*w = -y + 628. What is y rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - 0) + 2*-1. Suppose 5*s + 10 = 5*j, 2*j - 4 = 5*s - s. What is the third derivative of -2*c**5 - 10*c**j + 3*c**5 + 13*c**h wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 5  (b) -3  (c) -22  (d) -4  (e) 0.1  (f) 2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9853363 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 3*v**5 - 446*v**4 + 21901*v**3 - 345150*v**2 - 492500*v - 125000 = 0.\nAnswer: -1, -1\/3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889971875 a multiple of 6705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -521*119776.\nAnswer: -62403296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 121092398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**4\/21 + 4912*i**3\/21 - 3057934*i**2\/21 + 593173808*i\/21 - 531104864 = 0. What is i?\nAnswer: 21, 404, 1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3302703 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4b (base 15) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10341, 20679, 31021, 41367, 51717, 62071?\n\"Answer: 2*b**2 + 10332*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jirisiir?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v + 6. Let r be d(6). Suppose -4*p + 2*p - r = 0. Let l be ((-8)\/p)\/((-1)\/(-9)). Solve -5*u = -u + l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -149724175, -149724177, -149724179, -149724181?\nAnswer: -149724183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -66, -328 in descending order.\nAnswer: 5, -66, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-12)*(-3)\/(-9). Solve -5*s + 3*h - 16 = t, 0 = -s - 3*s + h - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4913082 and 21978.\nAnswer: 54043902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11074 is divided by 150?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-97)\/(-194)*(-62)\/(-22) and 81\/254.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 5*s - 2. Suppose 3*n = -5*v - 0 - 4, 4*n + 10 = -2*v. Let q = -1 - n. List the prime factors of z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 193175 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.2451 * -2.7039\nAnswer: -0.66272589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 3*k**2 - 6*k**3 + 7*k**3 + 3*k + 3 - 3. Let v be q(-2). What are the prime factors of 3\/((-3)\/(6\/v))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45 - 26. Let u = 0 + y. Calculate the remainder when 55 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ynyyn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -12*y**4 - 3*y**2 + 2*y. Let o(n) = -12*n**4 - 4*n**2 + 3*n. Let t(p) = -3*h(p) + 2*o(p). What is the third derivative of t(m) wrt m?\nAnswer: 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 6, 14, 26?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-10)*v)*v)\/(v*v**(4\/7)))\/(v*v**3*(v\/(v\/v**(-3)))\/v) assuming v is positive.\nAnswer: v**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13637445 and 8145?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 12:36 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 5:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -88, -6, -3 in descending order.\nAnswer: -3, -6, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p - 2. Suppose 0 = 2*f - 5*f + 99. Let l(t) = 26*t**2 + 1. Let b be l(1). Let k = b - f. Let n(o) = o - 2. Determine k*n(a) + 7*g(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337368953.\nAnswer: 1153, 292601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -62635 + 5369635. Round h to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.84286 + -0.842756486. Round d to six dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -2. Suppose 5*a + 0*a = 4*k + 22, 0 = a - p*k - 8. Let c(b) = b + 21. Let u be c(-16). Sort u, a, 3 in descending order.\nAnswer: u, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/7))**32*(y**(-2\/7)\/y*y)**(-2\/51) assuming y is positive.\nAnswer: y**(1636\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10256*r**5 + 2*r**2 - 5*r + 836.\nAnswer: -615360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -91*b**2*x**3 - 310*b**2*x**2 - 63746*b**2*x - 13974*b*x**3 + 12*x**3 wrt x?\nAnswer: -546*b**2 - 83844*b + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 16*q**2 + 10*q - 17. Let h be d(15). Let v = h + -93341\/25. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-606)\/(-1616))\/((-2)\/360))\/(-6*7\/84)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 3*o + 1, -2*n = -87*o + 79*o + 2*n + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -7. Which is the smallest value?  (a) 2\/15  (b) 1  (c) w  (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 71  (b) 3551  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 105, 0, -1, -4, -3, 4.\nAnswer: -4, -3, -1, 0, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4*v + 4*s = 684, 16 = -4*s. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*d**3*k**3 + 12*d**3*k - 86*k**3 with respect to d.\nAnswer: -18*d**2*k**3 + 36*d**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -l + 7647, 4*l - 7*w + 2*w = 30656. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 + 17. Suppose 0 - 8 = k*r, 5*r = -4*n + 968. What are the prime factors of n?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, m: 9}. Give prob of picking 3 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 35*w + 17*w - 18 + 10*w)*(-49*w + 49*w + 61*w**3) as i*w + o*w**3 + r + j*w**2 + f*w**4 and give o.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17739, 17741, 17733, 17709, 17663, 17589?\nAnswer: 17481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.12154 + 52.23754. Let i = v + -52. What is i rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 4 + (2 - (2 + 2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -1. Suppose 4 = -0*z + t*z. Suppose 105 = 4*r - m, -z*r + 4*m = 14 - 84. What is the highest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -670 - -5?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 328397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 - -10010001010?\nAnswer: 10010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -5. Let f(d) = d - m*d - d + d**2 + 2*d + 64*d**3. Let u be f(4). Round u to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3312 is divided by 68.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 18*r**3 - 8*r**2 - 1. Let w(v) = -v**3 - 2*v**2. Let g(j) = -a(j) + 4*w(j). Give g(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 7, -44249, 5\/4, -0.2?\nAnswer: -44249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 7*s**2 - 20*s - 8. Let j be h(-9). Does 46 divide j + (-196)\/21 - 1351\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(2057)*6.\nAnswer: -66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - g)*(27*g - 1 - 48*g + 27*g).\nAnswer: -6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*k = -12. Let v = -10 - k. Let q be v + (6 - 2) - -2. Solve q = 4*p + 2 + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 22*z + 22. Suppose 0 = -f + 1 + 11. What is the smallest common multiple of f and v(22)?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**4 + 524*z**2 + 795*z**2 + 2*z**4 + 689*z**2 + 2*z in the form m*z**2 + p*z**4 + b + q*z**3 + x*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lylyylyllllyylly. What is prob of sequence ylll?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001205147745 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 8*i. Suppose 0 = 11*d + 192 - 137. Let m(c) = -25*c + 5*c + 15*c. Determine d*p(h) - 7*m(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 AM and 2:37 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -8*m**2 + 145*m**3 + 0*m**2 - 20652*m + 20660*m. Let u(q) = 48*q**3 - 3*q**2 + 3*q. Give 3*r(x) - 8*u(x).\nAnswer: 51*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j + 54. Let n be d(0). Suppose 3*a + 57 = 3*v, -5*v + 2*v = -4*a - n. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27 and 49416102?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - a = 8*y - 15, 5 = -y + 4*a. Let m(q) = 2*q - 1. Give m(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 9*l + 148. Determine t(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -239.126615 rounded to the nearest integer?\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.501um to centimeters.\nAnswer: 0.0006501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 288 and 2560.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -90.3758 rounded to 1 dp?\nAnswer: -90.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*r**2)*(2 + 1 + 0)*(72*r + 185 - 185).\nAnswer: -432*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - 14) + (-2 - -4)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 8288.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (5 - 10) + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (864\/(-30))\/16*5\/(-51).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*z - 857 = -1081. What is the remainder when 2764 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bfbb when four letters picked without replacement from bbbgggbbfgbbfg.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 43*m - 9. Let o(h) = 10*h**2 - 147*h - 7. Let i(v) = 3*v**2 - 42*v - 2. Let a(c) = -7*i(c) + 2*o(c). Give a(l(g)).\nAnswer: -1849*g**2 + 774*g - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**3 - 1241*n + 384*n + 291*n + 278*n + 288*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-c - 3*c + 2*c)*(0 - 2 + 1) + 0*c + 2*c - 6*c)*(-6 + 17 + 2).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -10204, -41220, -93022, -165604, -258960, -373084, -507970, -663612?\n\"Answer: b**3 - 10399*b**2 + 174*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 58999 (base 11) in base 9?\nAnswer: 138600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19968491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4044 + 774. Is m a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 10:43 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence foa when three letters picked without replacement from meoaoif.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 45819831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -6*s + 6. Suppose s*n = 7*n - 60. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-3)*-1*-11*153\/561?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 134*l**2 + 12*l - 9*l + 84*l**2 - 45*l**2 - 7*l to the form c + a*l**2 + t*l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 13. Let o(r) = -2*r + r - z*r. Let b(a) = -848*a + 5 - 5 + 850*a. Give o(b(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/529498 and 43\/1323745.\nAnswer: 2647490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007602834 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-eight thirds of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42 - -27) + 6 + 21 + -2 + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l - 1. Let t(p) = 8*p**3 + 3*p + 4. Give 3*f(c) + t(c).\nAnswer: 8*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10*s - 4*s - 2*s)*(-3 - 4 + 2) + 3*s - 3*s + 2*s + (1 + 2 - 1)*(-2*s - 3*s + 7*s) to the form l + o*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.8 + -0.2. Let m = -3.6 + 0.6. What is the closest to -1 in 3, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 5*n + 9 + 4 = 0, -7 = 3*k + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 1. Let g(p) = -p**2 - 1. Let l(y) = -g(y) - h(y). Let o(m) = -2*m**2. What is o(l(a))?\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 + -11 - -9)*3. Solve 0 = -4*n - 4*h, -n + d*h - 5*h + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-4\/17)*i)\/(i\/(i*i*i*i*i**(5\/4)*i)) assuming i is positive.\nAnswer: i**(409\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p, 4*j - 3*j - 3*p = 3. Let i be -76 - 2\/((-2)\/j). Let z = 126 + i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -2*d + 116, l - 250 = -4*d - l. Suppose d = 18*b - 8. What is the greatest common factor of 164 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.055086 and 1.11784?\nAnswer: 2.172926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12*n**2*r**3 + 4*n**2*r**2 - 11*n**2 - 10*n wrt r?\nAnswer: -36*n**2*r**2 + 8*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - c - 1497 = 7213, 0 = -2*c - 8. Suppose 3*t = r + d, -r + t - 11564 = 3*r. What is r rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + -1 + -1 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -56.75 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 47 = -4*c + 3*l, -3*l + 82 = -2*c. Let z = -15 - c. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 184216436, 184216431, 184216426, 184216421, 184216416?\n\"Answer: -5*m + 184216441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 9489300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7011, -7022, -7033?\nAnswer: -7044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 316*k - 150*k - k**4 - 166*k + 3*k**2 - 1 to the form c*k**3 + d + w*k**4 + v*k**2 + g*k and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -36.81 and 2.\nAnswer: -73.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k**2*m*p**3 - 5*k**2*m + k**2*p + k**2 + 75030288*k*m*p**3 + k*m - k*p - 14683*k - 46*p wrt p?\nAnswer: -12*k**2*m*p + 450181728*k*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**4 - 32*w**3 - 358*w**2 + 4428*w - 9360 = 0.\nAnswer: -13, 3, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 3*u + 104. Suppose 0 = -2*l - 4*a + 16, 0 = 3*l + 2*l - 2*a - u. What is the remainder when 38 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232263758?\nAnswer: 2, 17, 1447, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 25, 134 in decreasing order.\nAnswer: 134, 25, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41942613 is divided by 546.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -2*b, 15 = -4*b + 2*g - 33. Let v be (-2)\/(-5) - 46\/b. Suppose 2*r - 73 = -v*n, -n + 4*r = 3*n - 36. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23490037 is divided by 192.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2207, -5, 4, 3 in ascending order.\nAnswer: -2207, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 250763.9cm in meters?\nAnswer: 2507.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 - 16. Calculate the remainder when 50 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-64)*4)\/((-115)\/46)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 73810 (base 9) to base 11\nAnswer: 33708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*w**2 + 10*w - 2*w + 7*w**2 + 5*w**2.\nAnswer: 4*w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 23 = -2*p - c, 2*p = 5*c + 53. Calculate the greatest common divisor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/30 and -97\/1854.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/37918 and -83\/14.\nAnswer: 265426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(22\/3))**(-43)\/(l*(l\/(l\/l**(-36)))\/l*l**(-1\/22)\/l) assuming l is positive.\nAnswer: l**(20419\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 765, -3\/2, 5, -1\/3 in ascending order.\nAnswer: -3\/2, -1\/3, 5, 765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 + -5)*-1*(1 - 0). Let b be (v\/3 + -1)\/((-54)\/(-243)). Let d(u) = -u**2 - 7*u - 6. Let z be d(b). Is z >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*z = 14, 4*p - 35 = -p - 5*z. Let x = -2 - -6. Solve 2*s + x = p*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*a - 15*a + 5. Solve -4 = a*r + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from csfooooco. Give prob of sequence oo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -465730000 to the nearest 1000000.\nAnswer: -466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o + 12. Let s = -11 - -6. Let b be h(s). Suppose -4*w**b - 4*w**4 + 6*w**4 + 2*w**2 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mymympjlypyjylpplry. What is prob of picking 2 j and 1 m?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 12:59 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-1*sqrt(3) - sqrt(3)) + sqrt(9)\/sqrt(27))**2 - (-3 + 3 + sqrt(27)).\nAnswer: -3*sqrt(3) + 25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1333 is divided by 271?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -42, 87, 5, 4, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -26 - -1263?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 415913343 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -412*p - 695*p - 143*p + 243*p.\nAnswer: -1007*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -3\/130, 2, 4\/5?\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*l - 16 = -n, -3*l = 2*n - 43. Suppose l = 5*m - 19. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54852078 to the nearest integer?\nAnswer: 7406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 - 2*w**2 - 3*w - 4. Let r be m(3). Suppose 0 = -5*s - d + 44, 9 = 4*s - 3*d - 11. Let v = r + s. Solve -v - 2 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/135 and -137\/4014.\nAnswer: 60210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b0c1 + 3?\nAnswer: -1b0be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -4*n - 55. Let c(u) = -2*u**2 - 2*u + 8. Let d be c(3). Let x be k(d). Let i = 57 + x. Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5 - 6)\/(-11))\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from cbccccbcbcbbcbcbbcbb?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -194*o**2 - 991*o - 1989. Give v(-2).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -12 + u**2 - 5*u**2 + 5*u**2. Suppose 0 = -0*o + 2*o - 14. What is the units digit of w(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 7*u + 3*s = -6, 2*u - 4*s = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 4 = -5030*n + 5028*n, 2*n - 4*x + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence puu when three letters picked without replacement from puhjhiiojjjhjoi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1\/13))\/g*g\/(g\/((g*g**7)\/g)))\/((g\/(g*g**(-2)*g))\/g**10) assuming g is positive.\nAnswer: g**(207\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, 26, 129, 304, 557, 894, 1321, 1844?\nAnswer: 2469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 11 = -9. Let y(p) = 4*p - 16. Let l be y(g). Let m(x) = -5 - 3 - 32*x + l - x**3 + 33*x + 3*x**2. Give m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 117651349789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*a - 10, 4*g + 36 = a. Let q(m) = -m - 14. Let p be q(0). Let r = g - p. Calculate the remainder when 10 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjjqq. What is prob of sequence qq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 2*u + 35 = 0, -5*v + 3 - 8 = -4*u. Let s be -2*44\/40 + 2. What is the nearest to 0 in s, v, 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -67*n**2 + 8*n + 4. Let s(t) = -2*t**2 + t + 1. Determine r(c) - 4*s(c).\nAnswer: -59*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -43  (c) 0.6  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/15 - (24\/(-10) + (-595)\/(-245))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 717*a - 4498. Calculate v(6).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0, 61.9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 5:30 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m**2 + 8*m - 4. Let v(y) = 4*y**2 - 7*y + 5. Let k(d) = -5*a(d) - 6*v(d). Let c be k(-5). Solve f - 2 = 3*i, -c*f + 10 = 3*i + i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(4063\/255 + -16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21549 and 23298?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 5:04 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12188?\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zxz when three letters picked without replacement from {z: 5, x: 8}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -8 - 22. Solve -5 - v = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -16467.6\nAnswer: 16467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2791*d - 2791*d + 22*d**3 - 6*d**3 + 0*d**2 - 16*d**2.\nAnswer: 16*d**3 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 4*c**2 + 14. Let k(z) = -26741*z. Calculate k(v(q)).\nAnswer: -106964*q**2 - 374374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 251099 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zdzzd. Give prob of sequence zzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {u: 1, k: 2, i: 2, t: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**3 + 7*m**2 + 3. Let s(q) = q**3 + 3*q**2 + 1. Give -2*l(f) + 5*s(f).\nAnswer: f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -435985875 divided by -13075\nAnswer: 33345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f**3 + 3*f**2 - f + 2. Let z be y(3). What are the prime factors of (z\/5)\/(6\/(-15))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*v - 693 = -6, 5*h + 5*v = 690. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -434 * -0.007.\nAnswer: 3.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -0.22, -6, -7\/3, 10?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a + 8*a**2 - 8*a**3 + 15*a**3 - 6*a**3 + 3. List the prime factors of q(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174289 is divided by 43546.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 13*i**2 + 11*i - 8. Let n be x(-12). Suppose -3*w = m - 24, -n*m + 120 = m + 5*w. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4104 and 10260?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/7 + (-22896)\/168. Let g = s + 374. What are the prime factors of g?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -2\/53  (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/10 and 119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 915906 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11514873*u + 28076876?\nAnswer: 11514873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 476092620.\nAnswer: 476092620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3287 - -3293. Solve 5*q - 4*j = y*q + 21, -4*j - 31 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 4*y + 8 = 2*r, 4*r + 3*y + 6 = 0. Suppose 4*o - 5*v - 129 = -r*v, -o - 2*v + 16 = 0. What is the remainder when 99 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -4*l + 30, -17182 = 4*f + 10*l - 17246 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + -6. Suppose -3 - 2 = l. Is 11 a factor of (42\/l)\/(3\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-2) - (-3978)\/(-12))*1. Let x = k + 337. Solve p = x - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -33*v**3 + 3830*v**2 - 4025*v = 0.\nAnswer: 0, 35\/33, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wbbwbbwbbwbbbb. What is prob of picking 2 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 33576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 5*i = 40, -5 = -4*d + 3*i - 8. Let k(a) = -44*a + 222. Let s be k(5). Solve s*f - d = 3, -x + 2*f = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8863*c - 6976 = 8427*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 8*t**2 + t - 1. Let b be d(8). Let x be b - (-2 - (-48)\/28)*-7. Solve 0 = -2*k + x*l + 16, -k - 4*l + 3 = 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uxx when three letters picked without replacement from uuxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 109 and 771611?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -6*q. Let d = -56 + 68. Let u(n) = -41*n**2 + 14*n**2 + 10*n**2 + d*n**2. Give u(f(c)).\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*i - 34 = -2*l, 4*l - 8 = 0. Let f = 259 + -139. What is the greatest common factor of i and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2972454 to the power of 1\/2, to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 6*a + 24. Let q(s) = 3*s**2 - 3*s - 5. Let z(m) = -3*m**2 + 2*m + 4. What is a*z(l) - 2*q(l)?\nAnswer: 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/5 + 97\/30. Let s be (76\/(-20))\/((-18)\/15). Let u = l - s. Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125307 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-74)\/(-111)*(-18)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-16)\/(-6))\/(4*29\/(-174)))\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1071 divided by 17?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (156\/455*21\/2)\/((-36)\/(-90)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 281430849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -34, 18, 228, 680, 1458?\nAnswer: 2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2133*v**3 + 2*v**2 + 3*v + 3. What are the prime factors of j(-1)?\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -341*o + 1761 + 2663 + 9898 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 528103960.\nAnswer: 2, 5, 37, 239, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2404372535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-1*122\/61?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i + 45*i = 211 - 75. Let f = -40 - -68. What is the greatest common divisor of i and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(180) + 1 - sqrt(180)) + 2 - sqrt(180) - (sqrt(180) + (sqrt(180) + 1 - sqrt(180))*6))**2.\nAnswer: -2916 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-1) + 11 + -6. Suppose 5*w - 118 = -i*b, 141 - 22 = 5*w + b. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 = -43*m - 542 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -6. Let r = 3.04 + c. Let y = 0.44 - r. What is the third smallest value in y, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(1573)*1*5 - (1 + sqrt(1573) + -5)**2) + (-1 + sqrt(1573) + -2 - (-2*(sqrt(1573) + 2))**2).\nAnswer: -594*sqrt(13) - 1544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2*k - 3)*(-3*k + 3*k - 2*k) + k**2 + k**2 + 0*k**2 + (3*k - 3*k - k)*(-3 - 1 + 5)*(-77 - k + 77) in the form v*k**2 + d + l*k and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**2\/11 + 102*m\/11 - 104\/11 = 0. What is m?\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -3*w + 188. Let z be h(16). Factor -720 + 3*f**4 + 6*f**4 - 80*f**3 - z*f + 20*f**3 + 160*f**2 - 4*f**4 + 380*f.\nAnswer: 5*(f - 6)**2*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 8, k: 3}. Give prob of picking 3 l.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4183 - 4156. Let a(c) be the third derivative of -v*c**2 + 0*c + 3\/8*c**4 + 0*c**3 + 0. Let q(r) = -4*r**2. Give q(a(m)).\nAnswer: -324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 2*u**2 - 2*u + 3. Let k(q) = -5*q - 2*q**2 + q**3 + 3*q**2 + 3*q + 3*q - 1. Determine 2*k(h) + v(h).\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.053\nAnswer: 0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.2 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -11*d + 25. Which is the closest to -1?  (a) 3\/13  (b) d  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 49. Are 32 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(-4*m**2 + 13*m**2 + 7*m**2)*(6*m - 2*m + m).\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -14*i + 5. Let x(r) = -13 + 10 + 3*r + 3*r + 3*r. Suppose 2*y - 20 + 4 = 0. What is y*x(p) + 5*l(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -379 + 393. Suppose 0 = 7*v + m*v - 5187. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5486, -22083, -49732, -88433, -138186, -198991, -270848?\nAnswer: -353757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 356629 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 104 + -201. Which is smaller: v or -487\/5?\nAnswer: -487\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -536538816*a**5 + 10045986*a**2 - 6.\nAnswer: -32192328960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -22. Let z = n + -2. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -11*p - 100. Is v(-30) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-30*i + 4 + 14 - 22)*(-1 + 3 - 8) in the form z*i + s and give z.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2*x - x - 3*x)*(3 + 1 + 2) + 5*x - x - x)*(-5*x + 2*x + 2 - 2*x)*(-1 - 1 + 3) in the form v + z*x**2 + p*x and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 5*l + 2*d - 326, l + 3*d - 73 = 0. Suppose -3*p - 353 - l = 0. Let b = p - -2783\/20. Is 0 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 71664 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-6)\/w)**(-27) assuming w is positive.\nAnswer: w**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*o - 3*o - o)*(-2*o + 0*o + 0*o + (1 - 1 - 5*o)*(0 + 2 + 0) - 2*o + 0 + 0 + (-3 + 1 + 1)*(-6*o + 2*o - o)) to the form n*o**2 + s*o + k and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/65 + 27\/65. Let y be (-11)\/9 - (-10)\/45. Let w be 3\/5*y\/3. What is the nearest to j in -2, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1297632, -2595259, -3892886?\n\"Answer: -1297627*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 52 + 0.277\nAnswer: 52.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 3 + (sqrt(1053) - (sqrt(1053)*2 - sqrt(1053))) + 3 - (((sqrt(117) + 2*sqrt(117) + sqrt(117) - sqrt(117))*-5)\/(sqrt(9) - sqrt(90)\/sqrt(40)))**2.\nAnswer: -11696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 - 2. Let m(u) = u + 1. Let n be m(2). Let w(k) = 2*k + k**3 + 4*k**2 - k - k**2 + 2. Let p(v) = -2*v**3 - 5*v**2 - 2*v - 3. Calculate n*p(t) + x*w(t).\nAnswer: -t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 8. Suppose -5*u + 215 = -k*u. Let c = 48 - u. Let s(x) = x**3 - 5*x**2 + 3*x - 3. Determine s(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/13 + 14706*u**2\/13 - 2143632*u\/13 + 78909160\/13.\nAnswer: -2*(u - 7205)*(u - 74)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.36 and 12594383839.\nAnswer: 12594383839.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 + 9*u**2 - 5*u - 7. Suppose t + 35 = 6*t. Is 19 a factor of i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(3*(-8)\/(-120)*5). Let r(f) be the first derivative of k*f**3 - 7\/2*f**2 + 0*f - 7 + 9\/2*f**4. What is the second derivative of r(a) wrt a?\nAnswer: 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 13, x: 6}. Give prob of sequence xxzz.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.973 + 0.013. Let m = -0.02484 - -0.06484. Let v = m - x. Which is bigger: v or -13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v**3 - 2*v**2 - 5. Let q = 113 - 108. List the prime factors of r(q).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z = 9*z + 147. Let g = -2 - z. Solve -3*c + 0 = t - 7, -8 = -g*c + 2*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 637*r + 265680. Calculate y(-416).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-4))\/((-4)\/48). Let t(b) = 3*b. Let g be t(9). Let a be (g\/(-12))\/(3\/(-8)). What is the greatest common factor of f and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**7\/840 - a**6\/720 - a**5\/120 + 101*a**4\/12 - 129*a. Let m(j) be the third derivative of n(j). Give m(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 5\/4, -2, 21, -4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-42))\/(170\/(-136)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/657597 and 17\/252?\nAnswer: 55238148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 284206 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 21*a**5 - 5304*a**4 - 112119*a**3 + 311874*a**2 - 266280*a + 71808 = 0.\nAnswer: -22, 4\/7, 1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l**3 - 12*l**2 - 3*l - 4. What is the hundreds digit of o(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b**5 + 275*b**4 + 1470*b**3 - 67660*b**2 + 127160*b = 0.\nAnswer: -34, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 392 + -145. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1074872146 to the nearest integer?\nAnswer: 32785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 6:15 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18912.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -209944 - -208003.91. Let d = y + 1952. Let h = d - 12. Is h bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 13. Is 27776\/10 + k\/(40\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + b - 1 = 5*f, -2*b + 2 = 0. Suppose 2*c + 3*n + 16 = 4*c, f = -c + 5*n + 15. Solve 2*i - i - 3*o = 16, c*o = -i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 + m - 1. Let i = 1 + -4. What is d(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1003 + -696. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.0998  (b) 2  (c) 96  (d) 3  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.380438 and -0.22504801.\nAnswer: 0.15538999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 7*i + 6. Let o be d(5). Let m = -14.5 + 14.8. Which is the closest to -1?  (a) o  (b) 2\/17  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1848 and 3864?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13945 - 13945.1. Which is the closest to g?  (a) -1\/9  (b) 3  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 67.34645 micrometers?\nAnswer: 0.006734645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 - 7*s. Let j be 86\/(-12) + (-2)\/(-12). Let a be c(j). Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 965 - 84*m**5 - 965 + (2*m**3 + m**3 - m**3)*(2*m + 0 + 0)*(-2*m - 2 + 2).\nAnswer: -92*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36 + -36. Let k be t - 3 - (101 - -8). Is k\/(-18) + -6 + 23479\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1075021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 6\/251  (b) -24  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 0*j - 4*j + 3480, 0 = -r + 4*j + 696. Is r a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 99 and 2721.\nAnswer: 89793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/2 + 1013*w**2 + 184296*w.\nAnswer: -w*(w - 2194)*(w + 168)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 67872 and 4116.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -4*t**2 + 2*t + 8. Let u(d) = -3*d**2 + d + 7. Let w be 3\/(-2)*(-4)\/(-2). Let x(f) = w*u(f) + 2*y(f). What is the units digit of x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s. Suppose 3*h - 7 = -2*t + 4*h, 5*t - 5*h = 25. Let c(w) = 4*w**2 + 6*w**t - 6*w**2. Give c(p(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-4*sqrt(2) - (-1*sqrt(8))**2) + sqrt(108)\/(sqrt(30)\/sqrt(5)) + 0.\nAnswer: -8 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152 = -18*u - 98 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -244*h - 46 = -198*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12013, -94744, -318247, -752572, -1467769, -2533888?\nAnswer: -4020979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 + (-1)\/(-4))*4. Which is bigger: 11\/12 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of g**4\/8 - 7*g**3\/6 + 389*g**2. Suppose 0*u = 4*u - 20. Determine f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 13 + 26 - (5 + -2 + 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + (-6 + -18)\/4. Let z be 15\/(-20)*40\/g. Solve u - 6 + z = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -191 + 340. Differentiate -58 - 90*v**2 + 105 - y wrt v.\nAnswer: -180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**3 + 31*z**2 + 1242600*z - 546193332 = 0.\nAnswer: -1277, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1189*r**2*u**3 - r**2*u - 1016*r**2 - r wrt u.\nAnswer: -3567*r**2*u**2 - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6142 - 1353*c - 6142.\nAnswer: -1353*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 12657, 25287, 37917, 50547, 63177?\n\"Answer: 12630*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + (-3*sqrt(448) + -4)*-4 + (sqrt(448)*-3*3)**2*-2).\nAnswer: -435336 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 21516.15279 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 37043008 to the power of 1\/2, to the nearest integer?\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7867 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -2\/5, -1, -0.06, -18, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 13*h - 1 = -8*h, 0 = -5*c - 3*h + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**3 + 20*p**2 + 58*p + 40 = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 3*b**2 - 10*b - 6. Let q be z(-5). Which is smaller: -0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2401a21 (base 13) to base 15\nAnswer: -ea181e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 6 = -w. Let u(i) be the first derivative of i**4\/4 + i**3 - i**2 - 4*i + 25. Let k be u(w). Sort -1, -5, k in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/389 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5664*o**5 - 60*o**4 + 4*o**3 - 1984*o**2 - 9082.\nAnswer: 339840*o**2 - 1440*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -12.3. Let o = -2.3 - -2. Let t = o + x. Which is the nearest to 1?  (a) 0  (b) t  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 13*n = 224. Suppose -n = -28*t + 28. Put -5, -10, -2, t in increasing order.\nAnswer: -10, -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130488353.\nAnswer: 59, 2211667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -1432869?\nAnswer: -1432865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3191 + 518895*y**2 - 1176 - 519223*y**2 - 5*y**3 wrt y?\nAnswer: -15*y**2 - 656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -10646, 4 in descending order.\nAnswer: 4, 2, -5, -10646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 392489 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {r: 7, k: 1, w: 1, e: 3}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/5, 0.5, -99, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 49 - 11. What is the remainder when h is divided by (-2 + (-258)\/(-12))*(-4)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 889 is divided by 876?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -16. Suppose 125 = -y*x + 787. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -11, 7, 8\/7, 4\/5, -1 in descending order.\nAnswer: 7, 8\/7, 4\/5, -0.1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 9*a - 1. Let t = 1 + 0. Let m be f(t). Suppose 5*g - 7 = m. What is the highest common factor of 30 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 272824 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 - 1459062*r + 2918128.\nAnswer: -(r - 2)*(r + 1459064)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/7 and -0.259 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72)\/(sqrt(6) + sqrt(54)) + (sqrt(588) - (sqrt(588) + sqrt(588)*1)) + sqrt(588) + sqrt(12))\/(-2*(sqrt(64) - sqrt(64)*-1))*-5)**2*4.\nAnswer: 1875\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 15. Let c be m(-13). Suppose 6 = -c*z + 3*a, -2*a = a + 12. What is the least common multiple of 9 and z\/2*40\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63 by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4833 and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 22*p**2 - 5*p - 1. Let y be z(5). Calculate the common denominator of -5 + 10\/((-900)\/(-85)) and (-2)\/(-6) + y\/(-96).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 289916 and -369.7.\nAnswer: 289546.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 21\/54*1\/((-70)\/(-15)). Let q(z) be the second derivative of -5*z + 0*z**3 + 0 + 1\/72*z**4 - c*z**2. Factor q(n).\nAnswer: (n - 1)*(n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 101 + -9. Is (0 - -2)\/(4\/j) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*d + 54. What is the remainder when 2 - 4 - 62*5\/(-10) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*c = 60*c - 959 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/52 and 119\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2103 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/11, 1\/8, -13, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7257c8 + 0?\nAnswer: -7257c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*n = -15, -5*a + 4*n - 143 = 0. Let r = -205 - a. Is r\/(3 + -6 + 1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -381510?\nAnswer: -381513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*j + 61*j**3 - 21*j - 36 - 34*j**3 - 5*j**2 - 26*j**3.\nAnswer: (j - 9)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5*u + 20 = -22, 4*v + 2*u = 56. What is the smallest common multiple of 8 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 131?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 a, 1 z, and 1 g when four letters picked without replacement from auaaouaauauzguuaag.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w = -0*w - 0*u - 4*u - 40, -281*w + 548*w + 72*u = 271*w - 704 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 112559685 to the nearest one hundred thousand.\nAnswer: 112600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29415?\nAnswer: 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 30, -162, 1, -5, -12 in descending order.\nAnswer: 30, 13, 1, -5, -12, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23445 * 0.03.\nAnswer: -703.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7757298634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 16*m**4\/7 + 316*m**3\/7 + 496*m**2\/7 - 144*m\/7 = 0.\nAnswer: -18, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 0, 4, -246364, -26 in decreasing order.\nAnswer: 4, 1, 0, -4, -26, -246364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-2) + 3\/6. Suppose q - 238 - 2 = 5*d, 5*d + 5*q + 240 = 0. Let o = w - d. What is the remainder when o is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -13*d**3 - d**2 + d. Let z be h(-3). Let b = z - 88. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 592\/5 - 118. Let y = -1.4 - -1.2. Which is the nearest to -2\/5?  (a) 1  (b) y  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 261281*a**3 - 31206 wrt a.\nAnswer: 783843*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) + 1)*3 - (-2 + sqrt(832))*-6)**2.\nAnswer: -1296*sqrt(13) + 67473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11*b**5 - 3*b**3 - 7*b - 6 wrt b.\nAnswer: -220*b**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19509.\nAnswer: 3, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = n - 189. Suppose -142 = -4*w + 3*p, -9*w + n = -4*w - p. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -140, -269, -398?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -4. Suppose -3*v = d + 24 - 76, -3*v + d = -50. Suppose s = -5*i + v, -5 = -s - i - b. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 482.291 and -0.4?\nAnswer: -192.9164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 9441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11470.74 rounded to the nearest ten?\nAnswer: -11470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -6*p + 3*p - 2*p. Let i(o) = -4*o**2 + 467209*o - 467209*o. Determine b(i(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21002 + 10122002?\nAnswer: 10101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 10, -3, 3\/5, 6, -35 in increasing order.\nAnswer: -35, -4, -3, 3\/5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33204)\/(-22136)*(-16)\/138?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + sqrt(5) + 5)**2 + (-1*sqrt(1500))\/sqrt(12).\nAnswer: 125*sqrt(5) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -15. Let f be j\/3*(-2)\/(-4). Let c = 33\/14 - 269\/126. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -147145\/292 greater than or equal to -503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + 44 - (-3 + 1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 320725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n**2 + 7*n + 7. Let m(a) = 3*a**2 + 6*a + 6. Let f(q) = 6*j(q) - 7*m(q). Let i(y) = 28*y**2. Calculate f(i(s)).\nAnswer: 2352*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.021 and -57.\nAnswer: -57.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 292, 0.3, -0.5, -1 in descending order.\nAnswer: 292, 0.3, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -13*a**3 - 16*a**2 + 33*a + 19. Let r(b) = -3*b**3 - 4*b**2 + 8*b + 5. Let z(q) = -2*c(q) + 9*r(q). Determine z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 77.6 - 8.22. Let c = -1.38 + n. Let u = -69.95 + c. What is u rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = 15*d + 5*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19839, -38952, -58019, -77034, -95991, -114884, -133707, -152454?\nAnswer: -171119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2599992 - -0.26. Round j to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40784 and 1272.\nAnswer: 6484656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -4, 0.5, -2382973, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10011200211 (base 3) to base 8.\nAnswer: -172011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 4:15 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11*-0.1988.\nAnswer: 2.1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 58 + 52 = i - 36, 111 = -2*x + 5*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 203231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-39)\/(-12)*(3 + 1). Let v(a) = 5*a - 4. Let d be v(6). What is the highest common divisor of y and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1, 2, 5, 10, 17, 26?\n\"Answer: h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 23912 or 23919?\nAnswer: 23919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 3*c**2 - 3*c + 4. Calculate the remainder when 87\/(-5)*((-100)\/5 + 15) is divided by i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 16 = 7*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 477*p + 2877. Calculate q(-20).\nAnswer: -6663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 27. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/15)\/(1\/(-111)). Let c = d - 26. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 711.764 to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - u - 6 = -4*u, -3*u - 15 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 9, 43, 109, 219?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (43\/6622*-33)\/(5\/7)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -21121001?\nAnswer: 21120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 > 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -31b9980 (base 12) in base 3?\nAnswer: -122210012110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 32 + 8270275?\nAnswer: 8270307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/3 and 446514 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -51*c + 46*c + 140. What is the lowest common multiple of c and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 2*a**2 + 5*a - 2. Let m be f(-12). Suppose -2*x + 4*c + 962 = 0, -3*c + c = 4*x - m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3426.3 - -0.0260518802\nAnswer: 3426.3260518802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 - 13300323332?\nAnswer: -13300330010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 2*g = -7, -5*g + 8*g = -p - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 17 - (0 - -3)\/3. Let q = j - 9. What is the smallest common multiple of q and 12 + (4 - 32\/4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 292*w**2 - 7*w - 5. Let v be k(-2). Suppose v = 9*l - 65. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1671215321 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*c = -1935 + 1535 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 + 2*h**2 + 2*h**3)*(-1 - 1 + 3)*(-6*h - h + 0*h + (-2*h - 3*h + 3*h)*(1 + 4 - 3) - h - 3*h + 3*h - 2*h - h + 2*h - 1 + 2*h + 1).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c**2 + 17*c + 6. Let m be h(9). Are -7\/4 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -351*a = -383*a + 128. Solve -i + a + 3 = 5*z, -3*z + 9 = -i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11.8 - 0.2. Let r = o + 11. Let n be 2\/(18\/(-27)*-9). Put 5, r, -4, n in increasing order.\nAnswer: -4, r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, c: 2, h: 5, n: 1, q: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/((p*p**(-1\/3))\/p)*p)\/p)**(-1)*(p\/(p\/((p*p\/(p**(1\/16)\/p*p))\/p)))\/(p**(-2\/43)*p) assuming p is positive.\nAnswer: p**(-4849\/2064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7\/((-56)\/(-24)) - 115. Let w = -112 - j. Solve 3*m + m - 4 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11014 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from touo. What is prob of picking 1 o and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 5*k**2 - 1119812040*k + 62698950246448080 = 0.\nAnswer: 111981204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*w + 62 = 144*w. Suppose -3*t = -2*z - 22, 3*t - w = 3*z - t. Which is the second smallest value?  (a) 1\/2  (b) 0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 1928*x**3 - 14563*x**2 - 19*x. Let p(l) = -1205*l**3 + 9102*l**2 + 12*l. Let j(w) = -12*d(w) - 19*p(w). What is the third derivative of j(a) wrt a?\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - r + 8. Let z be k(0). Let g = -6 + 17. Let b be (-10)\/55 - (-35)\/g. Solve -z*a + 10 = -b*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3 + 6386*n**2 - 488982*n + 9475830.\nAnswer: -2*(n - 3115)*(n - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2608, -2562, -2492, -2404, -2304?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 6 = 2*t, -2*b - 10 + 3 = 3*t. Let a(w) = -3*w + 2. Calculate the remainder when a(-2) is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/6 + 1574*v\/3 - 93670.\nAnswer: -(v - 2958)*(v - 190)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 19 + -3b?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -897 + 900. Solve l = 5*f + 4*l - 6, 5*l + c = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1012 less than -5?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15388 = -353*v + 12853 - 2119 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (2 + 1*sqrt(243) - (5 + 1 + sqrt(243))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 - 3*n**2 + n**2. Let x(u) = -38*u**2 + 21*u**2 + 23*u**2 + u. Let a(o) = o**2. Let w(k) = -3*a(k) + x(k). Give q(m) + w(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1844*c**2 + 1313*c**2 - 3174*c**2.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 2. Let q(h) be the first derivative of -h**2\/2 - 3*h + 72. What is 5*n(m) - 3*q(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2 = 5*j, 4*j + 40 = 4*v + 3*j. Let k be (-14)\/(-5) + 2\/10. What is the highest common divisor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 451 - 111 - 26 - 4*y**3 + 55.\nAnswer: -4*y**3 - 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**5\/11 - 4*m**4\/11 + 4*m**3\/11 + 16*m**2\/11 + 14*m\/11 + 4\/11.\nAnswer: -2*(m - 2)*(m + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3911879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 190144 and 828?\nAnswer: 39359808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 8*a - 12. Suppose r - 7 = -2, 0 = 2*x + 4*r. Determine g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -57 + 157. Let o be l\/(-70) - 5352\/(-14). Suppose -3*d + o - 49 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1680 by -14.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -8. Suppose -r + 2*v = 5*v + 3, z*r - 15 = 3*v. Suppose -g = 5*l - 1, r*g - 3 = -l - 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36 - 33. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 - 38. Let h be 21*w\/(-12)*4. Find p such that 4*p + 2*p**3 - 6*p**2 + 7 - h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/15)\/1 + 381\/15. Let k be (-24 + y)\/((0 - -1)\/2). Let p be (0 - k) + 0 - (11 + -73). What is p rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-7 - (1 + 2))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 107*p**3 + 8*p - 7. Let j be b(2). Let m be (-116)\/j - (-20)\/150. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1\/2)\/g*g)\/(g**(2\/11)\/g)*g**(-2\/11)*g**(-5))\/(g**(-6\/7)*g*g*g**2\/g)**(-7\/4) assuming g is positive.\nAnswer: g**(-49\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 17703 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 90 - 25. Let n be 12\/16*c*4. What is the greatest common divisor of 78 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 9\/4*p**4 + 0 + 94*p**2 + 162*p**3 + 0*p + 1\/80*p**5. Suppose t(b) = 0. Calculate b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -784*j. Let g(r) = -29*r. Let k(d) = d**3 + 18*d**2 + 24*d - 125. Let i be k(-16). Calculate i*s(b) - 80*g(b).\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 3*n + 16. Let f be (14\/n)\/((-2)\/4). Let y be (-1 - 1) + f\/((-77)\/15). Is y at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**(-2\/45)*k*k*k*k\/k**(-4\/3))\/(k**(-9)*k)**(-30))**15 assuming k is positive.\nAnswer: k**(-10468\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 2424001?\nAnswer: -2424004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b - 4*b + 12. Suppose -b*q + 31 = 4*g, 5*g - 3*q + 1 - 6 = 0. What is the smallest common multiple of 6 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.4164 + -2.3164. Let u be (4\/(-3))\/(2\/(-3)). What is the closest to u in 6, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3612 is divided by 201?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1088243 and 521666?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3111, 3125, 3135, 3141, 3143, 3141?\nAnswer: 3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000001110100100000 - 110?\nAnswer: 11000001110100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/4 + (-2)\/(-4). Let p = 8\/22001 - -719499\/682031. Let c = 15\/31 - p. Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 2*r + 120702, 3*p + 71*r - 90514 = 75*r. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2)*(2*k**3 + 1 - 1) + (k + 0 + 0)*(133*k - 133*k - 257*k**2) to the form c*k + v*k**2 + w*k**3 + i and give w.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y**2 + y + 1. Let o be u(-1). Let x be (2\/(-15))\/(o\/9). Let b = 1625 + -1624.9. Sort x, 2, b.\nAnswer: x, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 204 - 200. Solve 0*v + 1\/2*v**g + 0*v**2 + 0 + 1\/2*v**3 = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*(o*o**5)\/o*o)\/(o**(-1\/3)*o))**(-16))**(1\/17) assuming o is positive.\nAnswer: o**(-304\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -310?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 901*z - 2442. Give q(3).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-36)\/(-48))\/((-2)\/8) - -301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67250 is divided by 16812.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 100240872*1\nAnswer: 100240872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0896471942 rounded to four dps?\nAnswer: -0.0896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 543839143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 566*f + 83 + 623 = 213*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11022*p*w + 22296*p + 10*w**3 - 5*w**2 - 98 wrt w.\nAnswer: 11022*p + 30*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a - 9. Let o be f(-4). Let g be 6\/27 + 29\/(-9). Let l = -18 + 22. Sort o, l, g.\nAnswer: o, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -506 divided by 1\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -26*h**2. Let w(x) = 8*x. Calculate r(w(a)).\nAnswer: -1664*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.19 and -0.2.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - a**2)*(13*a**2 + 57 + 1406*a**3 - 1398*a**3 - 63).\nAnswer: -8*a**5 - 13*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-7)*((-20)\/34)\/5. Let l = 6\/17 - k. Factor -6\/7 - l*m**2 + 2\/7*m**3 - 10\/7*m.\nAnswer: 2*(m - 3)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 139*j - 65717329 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -aba2?\nAnswer: aba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.1962 to 2 dps.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 15*q**2 + 3*q + 4. Is 17 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(1216)*1 - sqrt(1216)) + sqrt(1216))*-1*-6)**2 + 4 + ((sqrt(1216) + 0)*2 - (sqrt(1216) + (4*(sqrt(1216)*-2)**2 + sqrt(1216) - sqrt(1216)))).\nAnswer: 8*sqrt(19) + 24324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000044013 to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - d + 354 = 0, -7*i - 351 = -2*i - 4*d. Suppose 0 = 5*y + 5*q - 575, 2*y - 110 - 112 = 2*q. Let x = i + y. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 11*t - 225. What is z(-32)?\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 690 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 8. What is 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 16 + 620*(-200)\/(-10).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 29515968.54 to the nearest one hundred thousand.\nAnswer: 29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25781928, -51563855, -77345782?\nAnswer: -103127709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 - 11 - 5 - 2 + 5 + 5*f**3 + f as r*f**3 + u + t*f + i*f**2 and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 122543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 6:20 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c + 4. Determine g(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 91*q**2 + 763*q + 24. Give f(10).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qgii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 223, 407, 541, 607, 587, 463, 217?\n\"Answer: -3*i**3 - 7*i**2 + 226*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*p**3 - 20*p**3 + 32*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - c. Let j be (-6)\/(2 - 5)*-15. Suppose -l = 2*z - 66, 4*z - 3*z - 33 = 3*l. Let b = z + j. Calculate g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24286 + 24046 = 48*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 + 6*g**2 + 5*g + 3. Let h be d(-4). Suppose 82 = 15*z + 7. Solve -h = -z*v - 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = h + 5*f + 10, -4 = 4*h + 2*f. Suppose h = -9*q + 3382 - 1276. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -25*i**2. Let c(l) = 19*l + 2. Let r(b) = -366*b - 30. Let x(m) = -45*c(m) - 3*r(m). Calculate x(q(a)).\nAnswer: -6075*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.8 and -0.029909.\nAnswer: 0.0538362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -4*q - 6 - q + 6*q. Let m be 1 - -1*(2 - 0). Let r be t(m). What is the smallest value in 5, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q - 2*q**3 - 5*q + 11*q**3. Let t be ((-9)\/15)\/((-2)\/10). Suppose 8 = t*s - 1. Let a(x) = -4*x**3 + 3*x. What is s*w(l) + 7*a(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4. Let m(h) = h + 21. Determine 11*b(c) - 2*m(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 - 39. Let q be (-18)\/(-8) + (-5)\/20. Let k(l) = -l**2 + q + l - 3 + 3. What is k(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -1412046055?\nAnswer: 1412046051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32248 + 0.58.\nAnswer: -32247.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 26\/3 - 1\/(-3). Suppose -y*o + 13*o = -116. Let d = -25 - o. Solve 2 = -d*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*x - 1125, 3*p - 15*x - 835 = -11*x. What are the prime factors of p?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**(6\/13)*y**(2\/83))\/(y\/y**(-1)*y*y)**(-20))**5 assuming y is positive.\nAnswer: y**(440030\/1079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 68414712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68455247?\nAnswer: 7, 9779321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3 + 14262*c**2 - 6223602*c + 659495738 = 0 for c.\nAnswer: -7549, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2449, -2\/49, -1\/354 in ascending order.\nAnswer: -2449, -2\/49, -1\/354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 6*d - 2*d + 20, -16 = -5*d + 4*u. Suppose -5*m + d*m = -65. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -71105*o - 42. Let m be j(-23). Let t(z) = z + 6. Let p be t(-3). Suppose -p*k - m = 764627. Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -3*f - l + 5, 5*f - 2*l = -12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 + -8 + 4 - -36. Suppose -2*p + a - 9 = 0. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 371\/1839451?\nAnswer: 371\/1839451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 0*b. Let c = -1109 - -1113. Solve 4*v + c = 0, -v + 2 = p - b*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i*i**(4\/5))\/i))**(15\/7)\/(((i*(i*i*i**(13\/4)*i*i)\/i)\/i)\/((i\/(i*i\/(i\/(i*i**6))*i*i))\/i)) assuming i is positive.\nAnswer: i**(-443\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**5 + 4*w**4 - 4*w**4)*(1 - 5 + 2).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 3, -1.4, -1, -17?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01067 to 4 decimal places.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54009\/80 + -3369\/5. Let y = -69515\/22704 + -1\/1419. Calculate the common denominator of y and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**3 + 5*b**2 + 15*b + 7. Let u be x(-6). Let i = u + 209. Let k = i - -524. List the prime factors of k.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5799?\nAnswer: 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -149069000 to the nearest one million.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 + 7*y - 24. Let a = -8384 + 8392. Give j(a).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*o + 5*o + 7*o + (29 + 0 + 0 - 1)*(12 + 4*o - 12) to the form s + u*o and give u.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5400375865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39 + 80. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 1 + 3)*(-t + 4*t - 2*t - 3*t + t - t + (-4 + 5 - 3)*(-5*t + 3*t + 0*t) - 13*t + 39*t + 80*t) in the form r + y*t and give y.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4215.095ml to litres.\nAnswer: 4.215095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 9. Let y = 0.77 + 0.03. Let x = 0.3 - y. What is the third smallest value in -0.2, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2 + 6*-2*3*(-2 + sqrt(450))*-3)**2.\nAnswer: -693360*sqrt(2) + 5294599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + h = 1, 9 = 8*x - 5*x + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5218313?\nAnswer: 5218313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g - 3*g + 2*g)*(6 - 2 - 3) - 338625*g - 4 + 39 + 338623*g in the form y*g + r and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -17565 divided by 5855\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 5, -0.2, 1249\/4, 1, -116, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 359 - (15 + (-33)\/3). Let l = h + -350. Solve -3*x = -4 - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + 3 + (5 - 8). Let v = 16 - z. Let a = 18 - v. What is the smallest value in -3\/4, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.9528 and -0.423.\nAnswer: 4.6330344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -25384 divided by 1336?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) + 0 + sqrt(288))) + -1 - (sqrt(288)*1*6 + sqrt(288)))**2*5 + ((sqrt(24)\/sqrt(3) + 2)**2 - (sqrt(8) + sqrt(72) + -2)).\nAnswer: 960*sqrt(2) + 92179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/(sqrt(6)\/(sqrt(4)\/sqrt(2)))*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17 - 14*a - 17 + (-1 + 4 - 4)*(3*a + 0*a - a) - 2*a + 2*a - 2*a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-3))\/(-6 - 104\/(-16))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 12:14 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*c**2 - 47*c**2 + 8*c**2 + 239 - 2*c**6 + 3*c**6 - 203*c**3 + 21*c**2 wrt c.\nAnswer: 120*c**3 - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 11, o: 2, q: 1}. What is prob of sequence roo?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*s + 4*s - 6*s)*(3*s**3 - 6*s**3 + s**3).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2538097576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = 3*g. Let s be 4\/(-3 - 3\/(54\/(-78))). Put -5, s, g in increasing order.\nAnswer: -5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17079191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 3*v**5\/8 - 1941*v**4\/8 + 312981*v**3\/8 + 316869*v**2\/8 - 39123*v - 39366 = 0.\nAnswer: -1, 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**2 + 3*c**2 + c**2)*(-52*c - 4*c - 7*c + 2*c).\nAnswer: -61*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 21234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -1 - 2*y**2 + 3*y**2 - y + 6*y. Let z(b) = b**2 + 4*b - 1. Let l(v) = -4*s(v) + 5*z(v). Determine l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3994461319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8776465 to the power of 1\/2, to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 623, 625, 641, 683, 763, 893, 1085?\n\"Answer: 2*j**3 - 5*j**2 + 3*j + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.5. Let c = 0 + 5. Let s = 0.0481 + -1.0481. Sort c, s, u, -0.2 in descending order.\nAnswer: c, u, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 438 - 318. Let o be 6\/(6*(-3)\/(-60)). What is the greatest common factor of r and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**5\/2 + 3*v**4\/2 - 119*v**3 - 240*v**2 = 0. What is v?\nAnswer: -16, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**0*w**(-9\/4)*w**29*w**26 assuming w is positive.\nAnswer: w**(211\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of i**4\/18 + 20*i**3\/3 + 300*i**2 + 9*i + 1. Determine y so that c(y) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2674 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d - 9*d + 10*d = 8 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 1111000110011000001100?\nAnswer: 1111000110011000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -179*l**4 + 49*l**2 + 4*l - 4*l + 131*l**4 wrt l?\nAnswer: -1152*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.2 + -3.20000004. Round i to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j + 9. Let h be i(-5). Suppose -572 = 7*c - 8*c. Suppose -c = -20*k + 9*k. What is the greatest common factor of k and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 25 = -15*c + 60, d - 5 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -90 and 12.98.\nAnswer: -77.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, j: 4}. Give prob of sequence vvv.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t + 3. Let l be i(-2). Let q be 3 - (-6 - (l - -4)). Let o(x) = -5*x - 5*x + q*x. Let c(f) = -3*f**2. Determine o(c(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 + 161 = 14*y - 19 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = -1457*s + 49767 - 7556 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/12 + 0)*8 + 356. Suppose 0 = -121*u + 113*u - a. Put u, -2, -4 in decreasing order.\nAnswer: -2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*z + 7*z - 2*z)*(-1 + 0 + 3) - 39*z - 9 + 26*z + 17 as y + f*z and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63.8059 + -19.4.\nAnswer: -83.2059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*a**2)*(39 - 9 + 4)*((0 + 0 - 1)*(2*a**2 + a**2 - 2*a**2) + 2*a**2 + a**2 - 5*a**2 + 4*a**2 - 3*a**2 + a**2).\nAnswer: 68*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 84796057326 - 7752733930032035\/91428. Let s = j - -3\/7619. What is the common denominator of s and -9\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93, 88, 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 - 6*l**2 - l. Let v = 3222 - 3226. Determine q(v).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129376296 divided by 14.\nAnswer: 9241164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5647 - 1057. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3011, -3, -4, 2, -11 in descending order.\nAnswer: 3011, 2, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g + 56 - 416 = 0. Let d = -32 - g. Factor z**2 - 1\/3*z + 0 + 1\/3*z**d - z**3.\nAnswer: z*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**4 + 152994*x**3 - 612012*x**2 + 612024*x.\nAnswer: 3*x*(x - 2)**2*(x + 51002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1251 = -70*l + 2581 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 436 - 1514 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 527 and 297941.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3350413 is divided by 3512?\nAnswer: 3477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**2 - 91*t**3 + 161*t**3 - 108*t**3.\nAnswer: -38*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2340 + -2347. Let f be -59 - (1 + 0 + -2). Let l = r - f. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -6.9. What is the third smallest value in -1, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 5*d - 7290 = -7289, 6*a - 6 = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22005.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/6)\/(2\/3). Factor 27 - 14*t - 5*t**c + 8*t**2 - 4*t.\nAnswer: 3*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 436027948?\nAnswer: 2, 41, 2658707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 651 = 194. Let b = w + 173. Let x(h) = -2*h**3 - 7*h**2 + 2*h - 4. Let f(q) = -5*q**3 - 20*q**2 + 5*q - 11. What is b*f(y) - 11*x(y)?\nAnswer: 2*y**3 - 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/((-84)\/5))\/(225\/120).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74744101?\nAnswer: 107, 698543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from jppjjpppjjpp?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 136, 538, 1204, 2134, 3328?\nAnswer: 4786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**7\/180 + r**5\/40 + r**4\/3 + 3*r. Let h(f) be the third derivative of y(f). Is h(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -401*c = -407*c + 330. Suppose 2*t - 13 = -3*m + 3*t, -3*t = -4*m + 14. Let f = m + 0. Calculate the greatest common factor of f and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + 5*v - 4*v)*(-v**3 - 3*v**3 + 6*v**3 + 6).\nAnswer: 4*v**4 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/11, -5599, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90900 and 30300.\nAnswer: 90900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 5*j - 145 = -130 - 84, 2*j = -3*f + 48 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4131\/5 - -827. Sort 3\/4, 5, p, 4\/7 in increasing order.\nAnswer: 4\/7, 3\/4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/10?  (a) 4  (b) -1\/9  (c) 2\/3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -65154 or -260619\/4?\nAnswer: -65154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from {o: 2, w: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**5\/60 - f**4\/12 - f**3 - f**2. Let b(t) = t**2 - 2*t - 3. Let i be b(-2). Does 9 divide u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13*(-7)\/182*(-88)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2955.107 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-105)\/(-9)*1476\/1148.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192 is divided by 73?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-22)\/(-10))\/((-4)\/85). Let t = 47 + b. What is r in 0*r**2 - 1\/4*r**4 + t + 1\/2*r**3 - 1\/2*r = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.134 + -6.234. Let c = 17.5 - k. Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 19, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 9 - (-15 - (-15 + 15 + -8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 1077*t**2 - t - 2. Let g(b) = 2*b**2. Calculate x(g(r)).\nAnswer: 4308*r**4 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 685490087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.842341783 + -0.042345683. Let k = -2.5 + -0.3. Let i = y + k. What is i rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7, -1\/31, 1, -167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c**2 - 4*c + 5. Give u(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 at most as big as -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/27265560 and -29\/681639.\nAnswer: 27265560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y + 17. Let s be i(-7). Suppose -3713 = -3*g - a - 0*a, -12 = s*a. Suppose 15*n - g = 8*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/3 - 526*f\/3 - 2780.\nAnswer: 2*(f - 278)*(f + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - a - 3*a)*(-3*a - 72 + 72)*(-46230*a + 2*a**2 + 46221*a - a**2).\nAnswer: 3*a**4 - 27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -1306.\nAnswer: -1\/1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*w + w - 34*w**2 + 2*w - 33*w**2 + 38*w**2.\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + (sqrt(125)*1 - sqrt(125)) - sqrt(125)) + sqrt(125) + 0 + sqrt(125) + sqrt(125) + sqrt(125)*2)*-2*2*-5)**2 + 5.\nAnswer: 32000*sqrt(5) + 801605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -104983 - -105000. Suppose 2*n + t - 6 = 0, n = 5*n - t - 6. Let l be 2\/(2\/(4 - n)). Solve -p - 3*o - r = 0, 4*p + l*o = -18 - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3390\/52)\/5 + (-33 - (-700)\/35)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -563620 = -6*g + 2*u + 3*u, u = -2*g + 187868. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -a**6\/660 + a**4\/44 - 2*a**3\/33 + 5*a**2 + 6*a + 2. Let d(z) be the first derivative of y(z). Factor d(w).\nAnswer: -2*(w - 1)**2*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, n: 9, i: 2}. What is prob of sequence nnnn?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-12)*u*u*u**8\/u)**(-32\/7) assuming u is positive.\nAnswer: u**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 193283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16648603 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 = 10*x - 663. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3929186 or -3929189?\nAnswer: -3929189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z - 3. Let t be m(-3). Let y be -1 - -1 - 3\/t. Factor -y*h + 0 - 1\/2*h**2 - 1\/4*h**3.\nAnswer: -h*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(-9)*a)**(-7\/5)\/((a**(16\/3)*a)\/a**16))**18 assuming a is positive.\nAnswer: a**(-642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 49\/(2\/(14\/7)). Find the first derivative of -1414 + 1402 + 132*g**4 - q*g**4 wrt g.\nAnswer: 332*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178*i - 34973 = -638*i - 393*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 267801423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 128 - 130. Sort x, 2\/11, 1\/6, -1 in ascending order.\nAnswer: x, -1, 1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9713*b**2*k*q**2 + 24*b**2*k*q + 2*b*k*q**2 - 7004*b*k - k*q**2 + 15*q**2 wrt b?\nAnswer: -19426*k*q**2 + 48*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*-2 + -4)**2 - (4*(sqrt(76) - 1*sqrt(76)))**2 - 4*(-4 + 2 + sqrt(76))**2.\nAnswer: 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -598*m**2 + 501*m**2 - 2 + 2 in the form r*m**2 + h + l*m and give r.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqxxqqxxqqxxxxqxqqxq. Give prob of sequence qxq.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.03 * 0.22647.\nAnswer: -2.9509041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, 172, -9\/2, -32, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 8, 3*u - 3*t = 2*t + 26. Factor 0 + 30*c + 9 + 3*c**u - 10*c - 8*c.\nAnswer: 3*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001311474 to 5 decimal places.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 755594 is divided by 293?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of p**5\/10 - p**4\/3 + p**3\/2 - p**2 + p. Suppose -14*n - 46 = -37*n. Give o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/40 and (1074\/104)\/((-2115)\/(-94))?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 3*l + 27, -173*u + 5*l - 5 = -168*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16, -1\/4, 1\/5, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 42 - 7. Suppose l*q - 2*q - 215 = -3*z, -3*z + q = -191. Suppose -3*c = -5*h + 2*c + 75, -4*h + 3*c = -z. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -y**2\/2 + y + 5. Let z(h) = 6*h**2 - 6*h + 9. Let c(d) = -9*a(d) + z(d). Factor c(b).\nAnswer: 3*b*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2)\/(i\/(((i\/(i\/i**(1\/7)))\/i)\/i)))\/(i\/i**2*i\/(i**3*i)) assuming i is positive.\nAnswer: i**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 21*h**2 + 3*h - 63. Let k be b(21). Solve 0 = -5*r + 5*d + 30, -10 = -k*d + 2*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4*z - 29 = 0, t + 5*z = 2*t - 28. Suppose -t*v + 94455 = 12*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**2 - 2*a - 7. Let m be p(-2). Let k(o) = 15*o + 21. Is 36 a factor of k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 + -24. Suppose 5*q - 4*n = -v + 80, q + 2*n = 0. Let y be (-2)\/6 - (-242)\/6. What is the greatest common divisor of q and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 7:08 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000075264939 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/17  (b) -2\/13  (c) 3002  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 238.6625cm in nanometers?\nAnswer: 2386625000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00486792 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-90)\/585 - 4\/(-26)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1530)\/(-75))\/17 - ((-54)\/10)\/(-3). What is the biggest value in q, -4, 3934?\nAnswer: 3934","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -440\/651 + 2\/217. What is the fourth biggest value in 0.5, 3, -8, a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -3*n**3 - 10*n**2 - 6*n + 16. Let f(l) = -l**3 + l. Let r(q) = 4*f(q) - p(q). What is r(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (3 - 0) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 10*w + 110. Calculate v(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -5671*a. Let x(m) = -14*m. Give d(x(w)).\nAnswer: 79394*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/13, -0.215, 4\/3, 2\/11, -22, 0.1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 158*k = 162*k - 4, -m - 3 + 0 = -3*k + 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.11 from -17.\nAnswer: -17.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 81 + -53. Suppose 0 = 76*i - 2*i - 3376 + 934. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from xppwpbxppx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -3*t - 12. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 868222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, d: 2}. Give prob of picking 1 v and 2 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 129281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1243 is divided by 398?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3669987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 8:28 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -1\/3, 0, -8, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 14*p - 21. Calculate d(-13).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + 3*(-1*(sqrt(931) + -1 - sqrt(931)) + 4))*5.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*f - z, -5*f - 2*z = 3*z - 15. Let o be (-3)\/1*f - -8. What is the greatest common factor of o and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22d5e8 - 80?\nAnswer: -22d668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**5\/6 - 27*v**4 + 341*v**3\/6 + 353*v**2 - 1160*v\/3 - 656 = 0. Calculate v.\nAnswer: -164, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*d = 195*d + 80 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/42 + 7974590\/2730. What is the greatest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 674627 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -17355*u**5 + 190405*u**4 + 6079770*u**3 + 174780*u**2 - 7000*u = 0. What is u?\nAnswer: -14, -2\/39, 0, 2\/89, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 1060?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*m**3 + m**3 + 3*m**3 + (-452*m - 37*m**2 + 452*m)*(6*m + 5*m - 8*m) in the form d + a*m + s*m**2 + w*m**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 383471.3 millilitres to litres.\nAnswer: 383.4713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f - 23. Let b be d(25). Suppose -q - 2*n = -13, 0*n - 7 = q - b*n. Solve 0 = q*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 73*i**2 + 3*i + 165. Let y = -212 - -220. Let p(u) = 24*u**2 + u + 55. Let f(n) = y*p(n) - 3*w(n). Find the first derivative of f(m) wrt m.\nAnswer: -54*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**13*o**(1\/17))\/((o*o**(2\/9))\/(o**(10\/9)\/o)))**(-15) assuming o is positive.\nAnswer: o**(-9140\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.47776 rounded to two decimal places?\nAnswer: 9.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**4\/9 - 50*i**3\/9 - 118*i**2\/3 - 286*i\/9 + 2420\/9 = 0 for i.\nAnswer: -11, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s - 1624978 = -133*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83 (base 16) in base 2?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23424 is divided by 3903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*h - 44, -2*h - 2*h + 2*r = -44. Let l(z) = z**3 - z - 4. Let p be l(2). Find u such that -12 + h*u**p - 21*u + 9*u**2 - 15*u = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -j**5\/90 - 71*j**4\/18 - 5041*j**3\/9 - 357911*j**2\/9 - 8*j + 4. What is w in x(w) = 0?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 39 and 14131.\nAnswer: 42393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -5*w**2 + 239*w + 283. Let t be u(49). Let q(f) = 5*f**2 - 43*f - 60. Let i(j) = j**2 - 11*j - 15. Let o(x) = -9*i(x) + 2*q(x). Determine o(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -32*(-2 - 2\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 12*c**2 + 13*c - 19. Suppose -k - 26 = k. Let v be s(k). Let q = 47 + v. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318188.\nAnswer: 2, 13, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + b**2 - 1 + 0)*(-4*b - 2*b + 35*b - 4*b + 4*b - 2*b + (-3 + b + 3)*(-5 + 2 + 1)).\nAnswer: 25*b**3 + 25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/15 + -2 + 127104\/5. Let u = -838715\/33 + d. What is the common denominator of 31\/6 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 0 - 20 = 0. Solve -q - 1 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g - 1. Let b = 8 + -10. Let s(d) = d - 1. Let h be -2 + 3 + (-1)\/(-1). Let l(p) = b*v(p) + h*s(p). Let n(t) = 4*t. Calculate n(l(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*q = -15*q - 26152. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3 - 60*x**2 + 494*x - 888.\nAnswer: -2*(x - 4)*(x - 3)*(x + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 (base 2) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -24*r**3 - 128*r**2 - 20*r - 18. Let m(o) = -5*o**3 - 26*o**2 - 4*o - 4. Calculate 3*k(d) - 14*m(d).\nAnswer: -2*d**3 - 20*d**2 - 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 782403292*r**2*v**2 - 63761240*r*v - v**2 wrt r?\nAnswer: 1564806584*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101951 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -515, 4 in decreasing order.\nAnswer: 4, -4, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.05 and 0.08.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 3*f + 4*f + 5 = 0, 5*k + 8 = -3*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2389098 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15\/(-25)*(1 + -6). Let w = 129\/7 + -19. Put -0.2, w, f in increasing order.\nAnswer: w, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 - 37. Let b(h) = -10 + 4 - j*h + 9 + 6*h**2. What are the prime factors of b(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*r + 1 + 7*r - 1 - 22 to u + a*r and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 20*o + 239. Let m(a) = -3*a - 30. Let t(w) = -51*m(w) - 6*u(w). What is the hundreds digit of t(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -26*j**2 + 424*j + 377. Determine f(18).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-7646)\/((-30)\/(-5) - 1*8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -356410 divided by -71282?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-11)\/(n\/(n\/n**8)))\/(n**(-4\/9)\/(n*(n**(-6)\/n)\/n*n)) assuming n is positive.\nAnswer: n**(-221\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -12 + 2 - 1 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 60d71?\nAnswer: -60d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96 and 17488156?\nAnswer: 419715744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6085\/6 + -1017. Let w = t - -277\/102. Find the common denominator of -37\/2 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s + 3. Let k be o(-3). Let q be 3\/(-2)*20\/3. Let j = q + k. Which is the smallest value?  (a) j  (b) 2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 a, and 1 q when three letters picked without replacement from akaaqkqa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.08 - -0.18. Let g = -1 - -1.1. What is the nearest to i in g, -0.4, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27860 and 20895.\nAnswer: 83580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - 5*q**2 + 2*q + 11. Suppose -j = l + 2, 6 = 4*l - j + 29. Let y be r(l). Sort -4, y, -3, 3.\nAnswer: -4, -3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150*g - 75*g + 4 = 77*g. Put 1\/2, 0.09, 0.0403, g in descending order.\nAnswer: g, 1\/2, 0.09, 0.0403","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1060 times 0.08?\nAnswer: 84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*j - 4575 - 2605 + 2032. What is the greatest common factor of 1040 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/63)\/(2\/(-9)*(-18018)\/4312)*12.\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**8\/28 - 2019*a**6\/10 - 25*a**4\/6 + a**3\/6 - 3*a**2 + 116*a - 38. Find the third derivative of u(z) wrt z.\nAnswer: -240*z**3 - 145368*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 7*i - 12. Let n be j(7). Let y be (-3 - 32\/n)*3. Let c(l) = -2*l**3 + 4*l**2 - 4*l + 5. Let m(o) = -o**2 + o - 1. Give y*c(z) - 5*m(z).\nAnswer: 2*z**3 + z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.03  (b) -3  (c) -10  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -369121*z**4 + 4*z**2 + 2*z + 64378922 with respect to z.\nAnswer: -1476484*z**3 + 8*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of -16*n**4 - 67\/3*n**3 + 0*n**2 + 0*n - 121. Find the third derivative of z(q) wrt q.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 5:20 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(3) + 1)*1 + 0 + sqrt(3) + 2)**2.\nAnswer: 12*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -163 times -1.13\nAnswer: 184.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2520 = -13*j - 7*j. Let p = j - -218. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/243*(0\/2 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 6780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 104*k - 1791. Determine v(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of 8*s**5\/15 + s**4\/24 + s**3\/6 + 3*s**2 - 5*s. Let z(m) be the first derivative of c(m). Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 14) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.06417  (b) -0.2  (c) -3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 150.5005 litres in millilitres?\nAnswer: 150500.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/8?  (a) 92  (b) 0.8  (c) 0.5  (d) 6  (e) -3.4  (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 6:30 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(3 - 1) + 5. Let i = 374 - 372. Suppose 22 - h = i*r. Solve 3*j = 4*p + 4*j - r, 0 = -5*p + 4*j - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17000 (base 14) in base 6?\nAnswer: -1122440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2307 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2777115687.\nAnswer: 3, 31, 29861459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**3 + 40*g**2 + g - 20. Let o be v(13). What is the highest common divisor of 144 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -347386*g**4 + 199*g**2*u + 3*u + 239137489 wrt g.\nAnswer: -1389544*g**3 + 398*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 0*v**5 + 0*v + 1\/2*v**4 - 29\/2*v**2 - 45 - 4\/3*v**3 - 1\/30*v**6. Let b(o) be the second derivative of a(o). Factor b(w).\nAnswer: -4*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 11, r: 2}. Give prob of picking 2 x.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 322 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 3*h - 1 = -0, 0 = -h - 1. Suppose 44 = 3*o - a*j, -o + 5*j = -6*o + 90. Solve 0 = -3*u + 4 - o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x + 0*x + 2*x + (4 - 3 + 3)*(4*x + 4*x - 3*x) + 2*x + 1 - 1 - x + 3*x + x to the form j + f*x and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -2*a - 5, 2*i + 30 = -4*a + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (13 + -12)\/((-2)\/(-4)). What is the second derivative of -2*v**4 - x*v**4 + 15*v**5 + 4*v**4 + 14*v wrt v?\nAnswer: 300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v**2 + 404*v + 40804 = 0. Calculate v.\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 100 and 443690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 271\/5 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1)**(4\/11)*a*a**3*a*a**0*a assuming a is positive.\nAnswer: a**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/((-20)\/10))\/((-6)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26691286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 1. Let b(j) = -42*j**3 + 16*j + 8. Suppose 0 = 5*m - 4*y + 56, m = y - 6 - 6. Let g(l) = m*f(l) - b(l). Find the second derivative of g(o) wrt o.\nAnswer: 252*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0771 + 1.0771. What is the third biggest value in -0.03, -2, 1.7, i?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 698  (b) -240  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2908 is divided by 968.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3270902321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29812 by -116.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1132*p + 64104 - 64104)*(-p**2 - 2*p**2 + 2*p**2) - 2 + 2 + 4*p**3)*(-1 + 1 - p).\nAnswer: -1136*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, w: 2}. What is prob of picking 1 g and 1 w?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1378*i + 330 = 1384*i. Suppose -44 = 2*v - v. Let j = i + v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -8*i**4 - 4*i**2 + 4*i + 1. Let z(b) = 8*b**4 + 5*b**2 - 5*b. Let t(p) = -5*g(p) - 4*z(p). What is the derivative of t(u) wrt u?\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*p - 11*p = 6188. What is the greatest common factor of 3367 and p?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -1610.217, -2, 2, -2\/5 in increasing order.\nAnswer: -1610.217, -2, -2\/5, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 85?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3170210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1626 divided by -36.\nAnswer: -271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 956729950 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c + 54*c**3 + 26*c - 67*c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/(21\/(-9) - -2). Let q be (-5)\/w + (-14)\/6. Is (-37)\/q*(1 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 9*z**2 + z - 7. Let r be w(9). Suppose 0 = 2*q + 2*q + a + 11, 4*a + 8 = r*q. List the prime factors of (-15 + q)*(-2)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3 + sqrt(117) + -1)**2*-3.\nAnswer: -498 + 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 + 23. Let r(x) = x**3 - 6*x**2 + 5*x - 6. Let n be r(6). Suppose 3*l - 9 = 3*h + n, -5*l = 4*h - 10. What is the highest common factor of y and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*-3.208\nAnswer: -6.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 181 + -180.3. What is the closest to 0 in -0.4, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 2*c - 136, 3*u - c - 72 = c. Suppose 4*n = 4*k - n, -2*k = 4*n - u. Suppose 3*y + k = 3*j + 89, -3*y + 82 = -4*j. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - -22*(-2 - (-150)\/84).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 198\/194 - (-22490064)\/(-3545641).\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of j**3\/6 - 3*j. Let r be (4\/(-3))\/(4\/(-6)). Let o(c) = 2 + c**r - 2. What is o(l(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25 + -4 - -4) + (-3 - -6) + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 227 = -717. Let r = h - 98. What is the remainder when 139 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*w**5\/7 + 3638*w**4 - 15152*w**3\/7 - 315656*w**2\/7 - 122208*w\/7 = 0. Calculate w.\nAnswer: -3, -2\/5, 0, 4, 2546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 5\/1046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.774492us in nanoseconds?\nAnswer: 2774.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*x + 3*u - 2*u, -2*x = -5*u - 16. Suppose 4*v = 4*q - 152, 4*q - 93 = x*v + 61. Suppose 9*h = -q - 5. Which is greater: -9\/2 or h?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 2:06 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1)\/r**(4\/3))\/(r**(-6)*r\/r**6))\/((r*r**(2\/7)*r\/r**(-3\/8))\/(r**1)**(1\/46)) assuming r is positive.\nAnswer: r**(23291\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45519 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 0.043493421899\nAnswer: 3.043493421899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.07 + -0.07. Let x = -0.04 + 0.04. What is the nearest to x in -1, 5, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 116412423 to the nearest integer?\nAnswer: 10789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189067184?\nAnswer: 2, 383, 30853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.147 + -0.103. Which is the second smallest value?  (a) -1  (b) m  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 - 48*q + 1. Let b be a(0). Sort 4, b, -3, 12, 3 in decreasing order.\nAnswer: 12, 4, 3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -5 + ((4*sqrt(147)*-6)**2 - -4*(-3 + sqrt(147))) + -5.\nAnswer: 28*sqrt(3) + 84651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25422592?\nAnswer: 2, 13, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, h: 1, s: 1, z: 1, p: 2}. Give prob of sequence zp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 423836986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -0.1  (c) 1\/3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -15*z - 296. What is l(-37)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 366 divided by -251836\nAnswer: -183\/125918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**3 + o**2\/2 - 5*o - 287. Let q be (8\/(-10))\/(5\/25). Let s(p) = -p**2 - 1. Give q*s(g) + u(g).\nAnswer: g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 6*u = -2*u - 242, 5*p - 2*u - 557 = 0. Suppose 2*x + 30 - p = -3*i, -37 = -2*i - 5*x. Calculate the highest common factor of i and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b + 12. Let c be z(12). Suppose 3*s + 5 - 17 = c. Suppose 0*d - 4*d = -2*w + s, -5*w = 0. Let q(g) = 7*g. What is q(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -79 (base 13) to base 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 10:51 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/4791 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 169003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 170 = 34. Let n = 38 + o. Suppose -1443 = 4*v + 5*w, -3*v + v - 702 = -n*w. What is v rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/2 of a centimeter in millimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -3*m**2 - 10029*m + 10032 = 0.\nAnswer: -3344, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 183 = -5*s. What is the remainder when 495*(40\/(-24) + (1 - -1)) is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5 and 182563680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1265 and 599555.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u - 20. Let q be v(22). Let x(n) = 29*n - 15. Does 8 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002836781 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (1*-1 - -12)\/(25\/1075) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/31)\/x)\/(x*x**(-28)) assuming x is positive.\nAnswer: x**(805\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10553416.51 rounded to the nearest 10000?\nAnswer: 10550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 399526 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.06+-98592\nAnswer: -98592.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -2.012. Let m = -0.0120039 + u. Round m to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -5*f + 8*f**2 + 4 + 5*f**2 + f**3 + 0*f**3 - f**2. Let a be g(-12). Suppose -11*w = -15*w + a. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that j**5 - 165*j**4 + 483*j**3 + 497*j**2 - 1788*j + 972 = 0.\nAnswer: -2, 1, 3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 15. Let v = x + -11.2. Let a = v - -0.31. Round a to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002629 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*x + v, x - 4*v + 0 = 3. Let o(d) = d**3 - 5*d**2 + 6*d + 3. Let i be o(x). Let h(y) = 2*y - 1. List the prime factors of h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**5\/13 - 3332*d**4\/13 - 23388*d**3\/13 - 56848*d**2\/13 - 56870*d\/13 - 20076\/13 = 0. What is d?\nAnswer: -3, -2, -1, 1673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*m + 4 = 97 + 633 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = 4*f. Suppose f = 4*r - 32 - 20. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from azzuduzeazdauaaa?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9 + -5 - (-1 - -2). Let j = 4 + -3. Let y(a) = a - 4. Let u(x) be the third derivative of -x**4\/24 + x**3\/6 + 8*x**2. Determine f*u(o) + j*y(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 11*d**2 - 8 + 2*d + 2*d**3 - 4*d**2 - 3*d**3. Let i(u) = 4*u - 35. Let z be i(10). Suppose -4 = -2*n - z*k, 0 = -3*n - 0*n + k + 23. Calculate h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 162131 + -81822. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 98 + -9. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from {i: 15, z: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**2 - 2426892*d + 490817064972 = 0.\nAnswer: 404482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*i + 458*i + 7072 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1351827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - (-6*1 + 1). Let a(s) = -9 + 9 + 7*s. What is the remainder when a(v) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10430140 (base 5) to base 10\nAnswer: 92545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1902789700 rounded to the nearest 1000000?\nAnswer: -1903000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g + 1. Let h(d) be the first derivative of -3*d**2 - 4*d + 1. What is -h(u) - 4*r(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19525*x + 5 = -19520*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**8*u**(2\/5)*u*(u\/u**(5\/4)*u)\/u**14 assuming u is positive.\nAnswer: u**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016041 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 17*t + 69. Suppose 34*n - 27*n = -28. Let q be c(n). Solve -3 = 4*f + q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*w**2 - 12598655*w - 5399430 = 0. Calculate w.\nAnswer: -3\/7, 359962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from aaoyxodyooyaoo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)*u)**(-2\/25)*u**(4\/3)*u**(2\/7)*(u\/((u**(2\/5)\/u*u)\/u))**(-1\/17)*u\/((u\/(u*u**3)*u)\/u)*u*(u\/u**(-7\/5))\/u assuming u is positive.\nAnswer: u**(140389\/17850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = u - 6, -u = 39337*p - 39342*p - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -y**4\/8 + y**2. What is the units digit of w(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -34, -69, -116, -175, -246?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3882\/34277?\nAnswer: -3882\/34277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 193564 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8\/3)\/z**(-2\/19))**(-27) assuming z is positive.\nAnswer: z**(1314\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -6. Let h = -0.08 - -2.08. Which is the closest to h?  (a) -5  (b) 0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -240.383 - -27?\nAnswer: -213.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(240\/25)*(-42)\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -2\/3*x**3 + 0 + x + 0*x**2. Let i(r) be the third derivative of -r**5\/30 + 1325*r**2. Determine i(p(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-1 - 3))\/((-77)\/(-21) + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/4704 and -101\/32?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10 + 3*r + 4 + 11*r**2 - 2. Let p(d) = -3*d**2 - d - 1. Let i(w) = 6*p(w) + 3*s(w). Find the second derivative of i(b) wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 10*d**2 + 10*d - 2. Suppose 0*i - 23 = -2*t - i, -t - 4*i = -29. Calculate the lowest common multiple of 1 and a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 365 - 365.2695. Let u = w - -0.1296. Let k = -0.14 - u. What is k rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b3942 + -1?\nAnswer: -b3943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7682, -15374, -23066, -30758, -38450, -46142?\nAnswer: -53834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16130050.38016926 - -16130050. Let g = 0.58016999 + s. Let f = g - 0.2. What is f rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 minus 0.1?\nAnswer: -52.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 824 from -6333133.\nAnswer: -6333957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 2 - 9)*7\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 134 + -130. What is the units digit of 265 - (-2 - -3)\/(j\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/3))**(3\/5) assuming k is positive.\nAnswer: k**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -330275 - -560275. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70806, -70810, -70814, -70818, -70822?\nAnswer: -70826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -270 - -281. Suppose 9 = -2*k + s*k. Solve -18*c - k = -19*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of (-2 - 2 - -9) + (-2691)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 9:50 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*p**3 - 102*p**2 + 13*p + 33419 wrt p?\nAnswer: 6*p**2 - 204*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 1. Let u(k) = -10*k**2 - 18*k - 19. Let t(g) = 7*g**2 + 12*g + 13. Let y(o) = 7*t(o) + 5*u(o). Determine 4*n(w) - y(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from ppxxqlaaqxxq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (115\/92)\/((-3)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 2822062?\nAnswer: 3\/2822062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2950 + 2932. Put 51, -2\/21, w in descending order.\nAnswer: 51, -2\/21, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + p = -12. Let k = -1 + 1. Let r = 1 - k. What is the second biggest value in p, r, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-4))\/((-18)\/(-24)). Suppose 0 = i + 5*w - 20, -3*i - i - 4*w + 32 = 0. What is the second derivative of 2*o**3 + n*o**3 + i*o - 8*o wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*m**4 - 135*m**3 - 68.\nAnswer: -24*m**3 - 405*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (4 - (1 + -1) - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -334.663 and 9.\nAnswer: -325.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v + 5*v - v)*(10*v**2 - 11*v**2 - 33*v + 10569 - 10573) in the form o*v + w*v**2 + h + l*v**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 1 = 5. Let p be 1*3*l*-4. Suppose p = 4*z - 3*m, -5*m + m = 3*z + 7. Solve 0 = -h + 4*t - 11, -2*h + z*t + 0*t - 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4*a = 13814, -5*r = -6*r + 3*a + 6907. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002412393 rounded to 6 dps?\nAnswer: -0.002412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -123 + 119.4. Let w = -3.9 - n. What is the nearest to 1 in w, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x - 2 + 2)*((3 + 0 - 2)*(-1 + 4 - 2) + 0 + 3 - 5)*(-2 + 9 + 1)*(-x + 3 - 3) to the form m + j*x**2 + q*x and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.06  (b) -5  (c) 89\/4  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 58 (base 13) to base 14\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 834779 is divided by 278259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**3\/13 + 670*k**2\/13 + 668*k\/13 = 0.\nAnswer: -334, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 974 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 66 + -65.7. What is the closest to -0.1 in q, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1267308, 5069243, 11405802, 20276985, 31682792, 45623223, 62098278?\n\"Answer: 1267312*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of i**4\/4 + 2*i**3\/3 - 3*i**2\/2 + 2*i + 3. Let k be f(-3). Suppose -k*p + 34 = -0*p. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(528)*1)\/sqrt(12))\/(sqrt(4) - sqrt(1584)\/sqrt(11)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3072657 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 divided by -15?\nAnswer: 43\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 9:48 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 774060 and 139098.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.01 - -0.1. Let v = 0.0900015 - k. Round v to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(786 + (0 - (-1 + 1))).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3000572?\nAnswer: 2, 29, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20341655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 7) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -322 + 453. Is m a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4465 - 4434. Solve -p*n = -48 - 76 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + sqrt(125) + 3).\nAnswer: -5*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1105 - -1462. What is the highest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1330 - -2659\/2. Let j = -3.2 - -3. Suppose 0*x + 4 = x. What is the nearest to j in x, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express t**3 + t**4 - 44*t + 41*t - 4 + 2 in the form z*t**4 + u*t + y + i*t**2 + c*t**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (0 - -1)*-3. Suppose 7 - 1 = -3*r, -32 = -5*p - 4*r. Suppose 0 = -t - 2*w - 4, 4*w + p + 0 = 2*t. Solve t = d + h*d - n + 3, -12 = 4*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16904 take away 0.1?\nAnswer: -16904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0 + 22*j - 30*j - 6*j**2 + 0 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37\/3, -13, 0, 0.4, 5, 54, 2\/11 in descending order.\nAnswer: 54, 37\/3, 5, 0.4, 2\/11, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 387418470*s**2. Let v(x) = -x. Determine v(a(h)).\nAnswer: -387418470*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d. Let n(r) = -31*r + 28. Let s(i) = -11*i + 11. Let y(a) = 3*n(a) - 8*s(a). Give y(l(z)).\nAnswer: 25*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -2\/7, 340, -8\/7, -1, -51 in descending order.\nAnswer: 340, -2\/7, -2\/5, -1, -8\/7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -181785 to the nearest 1000.\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d**2 + 47*d - 158. Let v be o(7). Solve 4*m = -16, 4*m + v = -2*z - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 79296 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 5:46 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 28419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o - 16 + 4*o**2 - 14 + o**3 - 5 + 36 in the form l*o + r*o**2 + m + n*o**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(88)*-3 - -6*(sqrt(88)*-2 + sqrt(88)))*4)\/(((sqrt(216) - sqrt(216)*-1) + sqrt(216))\/sqrt(3)*4).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3725 and 3075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -536 - -9114\/17. Determine x, given that -f*x**3 - 14\/17*x - 10\/17*x**2 - 6\/17 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7.4, 12071, -1\/5 in decreasing order.\nAnswer: 12071, 7.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 9 - 0) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -6. Let s = h + 0. Solve 0 = 4*k - 2*k + y + 6, -5*k = s*y + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of j**6\/15 + j**3\/3 + j + 6. Let u(a) be the first derivative of l(a). Find the second derivative of u(m) wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140060850.3 nanoseconds in weeks?\nAnswer: 0.00000023158209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/75 - (1 + (-9)\/(405\/66))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 1\/10  (b) 2\/3  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*q**5 - 395*q**3 - q + 6288 wrt q.\nAnswer: 60*q**3 - 2370*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/((-8)\/(-42)))\/(-1). Let j be (o - 1)*2\/5. Solve 1 + j = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 2*h + h + (3*h - 4*h + 2*h)*(5 + 2 - 4))*(-39*h - 46*h + 10 + 60*h)*(-1 - 4 + 4).\nAnswer: 100*h**2 - 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2 - 4 + 11*x - 3*x**2 + 2*x**2. Let y be d(6). Let f = y + -14. 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 the value of (38*(-814)\/(-2508))\/(1\/3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7760 divided by 80?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/247 and 39\/19.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**6)**35 assuming b is positive.\nAnswer: b**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4641)\/(-8330) + 6\/(-105).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -222 - -141?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*v + 29, 2*z - 4*v = 230. Let g be 58\/4 - 2\/(-4). Calculate the greatest common factor of g and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*j + 419 = 0, -z - 73*j = -75*j - 102. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/((-10)\/(-66)))\/1. Suppose 3*f + 0*f = 12. Solve 8*o - 5*d = f*o + x, -2*o = 3*d + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 3*s + 16, -3*q - 4 = -5*s - 16. Let i = 704.3 - 667. Let y = -37 + i. Which is the third smallest value?  (a) q  (b) y  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 355*u**3 - u**2 + 627*u**3 - 1390*u**3 + u**2 + 415*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, d: 1, k: 1, t: 1, r: 3}. What is prob of sequence katd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 8) in base 7?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -14. Let w be (-3)\/u + 3\/(-4). Let p be (-2 - -2)\/(-2 - -3). Do p and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7813 + -7797. Which is the third biggest value?  (a) 5  (b) l  (c) 5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 2*a - a + (5 - 2 - 2)*(4*a - 5 + 5).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 2. Let f be (-2162)\/10 + 4\/h. Let g = f + 221. Which is the nearest to -0.2?  (a) g  (b) -0.4  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5\/9 + 35*p**4\/3 + 671*p**3\/3 - 9377*p**2\/9 + 2420*p\/3 = 0. Calculate p.\nAnswer: -20, 0, 1, 3, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3\/884 - -1777\/2652. Let v be 0 + (5\/2)\/(-5). Which is the nearest to v?  (a) 3\/10  (b) g  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 4\/11*y**4 + 0*y + 0 - 2\/11*y**5 + 0*y**3 + 0*y**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 5*q. Determine t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 36927, 36929, 36933, 36939, 36947?\n\"Answer: l**2 - l + 36927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 4 - (10 - 62)) + -220 + 218\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28894 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1 + sqrt(19)) + sqrt(209)\/(sqrt(11)*1))**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n - 3. Let p be k(2). Suppose x - 14 = p*o, 0*o = 2*o + 2*x - 4. What is the common denominator of 19\/22 and 14\/(-4)*o\/(-24)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25093468 by 216323.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -0 + 4. Let v be ((-343)\/28)\/(1\/a). Suppose i = -v + 198. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/438*((-1)\/1)\/(18*(-43)\/387).\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39716*t**3 - 152631 + 152631.\nAnswer: -39716*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + -34 + (4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 7*c + 3. Let g be a(7). Let q(n) = -n**g - n + 2*n**2 + 1 - n**2 + 2*n**2. What is q(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 1 + 3 = 0. Let s(i) = -4*i**y - i**2 + 3*i**2. Let c(v) = 3*v - 3. Let l(a) = -3*a + 2. Let b(u) = 2*c(u) + 3*l(u). Give b(s(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 5:10 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 675 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10369162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*h - 9 - 15*h + 13*h)*(-2*h + 2*h**3 + 2*h) in the form g*h**3 + f*h + i*h**4 + s + t*h**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -225, -212, -185, -144, -89, -20?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 w when four letters picked without replacement from cnncccccwwncwwn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 40 = 4*u, 3*s = 5*u + 32 - 82. Suppose -4*w - u = -74. Solve 3*t + w = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7511 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/23 or 53?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -x**6\/40 - x**5\/15 - x**4\/24 - 4*x**2. Let u(b) = b**3 + b**2. Let v = -14738 - -14739. Determine v*m(f) + 2*u(f).\nAnswer: -f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.02 - 0.88. Let r = o - -0.4. Which is the second smallest value?  (a) 1  (b) r  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-22) - 28\/11*-7. Find the second derivative of -39*n**2 + 18*n**2 - 70*n + 17*n - 107*n + s*n**2 + 1 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**0)**(1\/15)*g*g**(-1\/14)*g*g*g**(-2\/9) assuming g is positive.\nAnswer: g**(1789\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -6 + 19 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -m**3\/6 - 3*m**2 + 5*m. What is the first derivative of t(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 - 17*n - 68*n**2 - 107*n**2 + 11 in the form l*n**2 + w*n + b and give l.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -8, 5, 2 in decreasing order.\nAnswer: 5, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17183*v**3*w**3 - 4*v**3*w**2 - 20027*v*w**3 wrt v?\nAnswer: 103098*v*w**3 - 24*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 78 and 15678?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - 1\/(2 - 1). Suppose -d - 3*d - 220 = g. What is the common denominator of d\/12 - 2\/(-4) and 93\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**3 + 0*n**3 + n**3 + (-5*n**2 + 5*n**2 - n**2)*(-8*n + 2*n - 4*n) + 3*n - 3*n + n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 232 and 61633294?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of 1\/42*m**7 - 84*m - 1\/6*m**4 + 0*m**5 + 0 - 3\/28*m**8 + 0*m**6 + 0*m**3 + m**2. What is the third derivative of s(q) wrt q?\nAnswer: -720*q**3 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31633 is divided by 15813.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**3\/7 - 231166*f**2\/7 - 164884010*f\/7 - 29311650650\/7 = 0?\nAnswer: -355, 116293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -14220999*a**2 + 63*a - 64. Let q be t(1). Round q to the nearest one hundred thousand.\nAnswer: -14200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 + 30. Let l(u) be the third derivative of -u**5\/60 + 11*u**4\/24 - 3*u**3\/2 - u**2. What is the units digit of l(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 73 - 26. Suppose 5*w - g = 2*m, 0 = -w + 4*m - 5. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = y - 5*y + 3*s, 2 = -4*y - 3*s. Suppose -p - 4*p = 3*z - 3, 5*p - z = -1. Solve p = -3*h - y + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 5*j - 433 - 127, 3*v = -4*j + 1625. Calculate the remainder when v is divided by 255.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641*h + 76200 = 629*h for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 27 = 14. Let p(z) be the second derivative of -z**3\/6 + 7*z**2\/2 + 406*z. What is p(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.53064 rounded to one decimal place?\nAnswer: 24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2673 + 2694. Solve 5*y + 20 = 0, -x = y + n - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -5*k**3 - 3370680*k**2 - 6741345*k - 3370670 = 0.\nAnswer: -674134, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t**3 - 2*t**3 - 2*t**3 - 3*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r + 16. Let a be m(11). Put a, 0, 4 in descending order.\nAnswer: a, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6082.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 97165 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*a**2)*(-2*a**2 + 3*a**2 - 3*a**2) + (0 + 0 + 2*a)*(0*a**3 - 3*a**3 + 2*a**3).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - 15\/(-3)) + -1. Suppose -c = -3*b - 0. Suppose -r + 5*n + b = -32, 2*n = -4*r + 66. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 99*u + 7. Let j(v) = -14*v - 1. Let g(m) = 2*i(m) + 14*j(m). Let r(o) = -344*o**2 + 3*o. What is r(g(k))?\nAnswer: -1376*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6052 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of d**5\/15 - 13*d**4\/24 + 31*d**3\/6 + 2702*d**2. Determine u(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*a = -4*a - 14, a = -2. Solve -f*u = -2*q + 4, -4*u + 2*q = q + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -123\/4 + 149\/4. Let j = -4 - -68. Find the common denominator of (1\/(-3))\/(1\/j) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/9 and 34\/1584115?\nAnswer: 14257035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4613*s - 18484. Let n = -2\/1734331 - -969491435\/352069193. Let t = 3\/29 + n. Find the common denominator of t and r(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2914\/15 + -718\/5. Let s = m + -51. Let t be (-3)\/2 - (-2)\/4. Is s equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1409128 and 0.1.\nAnswer: -140912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 - 1 + 3)*(-3*o**2 - 3*o**2 + 5*o**2) - 6*o + 6*o + 3*o**2 + 6266 - 6266 - 336*o**2 in the form t*o**2 + b + k*o and give t.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 0.6  (b) 5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 121387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + t - 11 = 0, 3*t - 5 = -4*i + 4*t. Solve 0 = 3*j - j + i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67456042?\nAnswer: 2, 19, 557, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*y, 3*h - 5*y - 11 - 29 = 0. Let t = 17 - h. Solve t*d - 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -53058.9997 + 53054. Let a = y - -5. What is a rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6696)\/465*40\/24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 10, h: 2, g: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.9 - 1.9. Let a = -5 - b. Sort 7, -3, a in decreasing order.\nAnswer: 7, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**4\/(q*q**(-4)))\/(q**(1\/2))**(18\/13) assuming q is positive.\nAnswer: q**(82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2057)\/1122*4*1095\/(-66)*(-6)\/(-10).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2, 0 = 5*d - 2*c + 20 + 11. Let r = 21 + d. Suppose 11 = i + i - 3*m, 5*i - 3*m = r. Sort 2, -5, i in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1b392 (base 12) to base 14\nAnswer: 10978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 518, -0.08, -2\/477, -3 in descending order.\nAnswer: 518, -2\/477, -0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3234 - -2?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.25 and -756?\nAnswer: 756.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -57\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 387.509, 5, -1797?\nAnswer: -1797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*h - 3*h**2 - 257*h**3 + 125*h**3 + h**2 + 130*h**3 as d*h**3 + u*h + p*h**2 + k and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -54 - -40. Let w = 32 + p. Let a = -15 + w. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 6*p**2 - 26*p + 7. Let g be c(9). Solve -6*m + g = -10*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 o, and 1 i when three letters picked without replacement from immoor?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -164 - -163. Let g be ((-3)\/297)\/(((-25)\/12)\/(-5)). Which is bigger: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57.88759 seconds to nanoseconds.\nAnswer: 57887590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x + 6. Let r(w) = -2*w**2 + 3*w + 4. Let q be r(3). Let n be o(q). Let s be (-4)\/(n\/(-2 + 114)). Calculate the highest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hnnnnnjnjnjnn. What is prob of sequence nj?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2068\/564)\/(11\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -49 - (720 - 627).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -29*f*u - 36*u wrt f.\nAnswer: -29*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4917216876?\nAnswer: 2, 3, 11, 13, 337, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/44560 and 1\/200.\nAnswer: 222800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (474\/3871)\/(6\/14). What is the nearest to 0.2 in i, -0.2, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 - 2*u - 2. Let a be o(-3). Sort 4, -3, a in ascending order.\nAnswer: a, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 66995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7021287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 107654, 107666, 107676, 107684, 107690, 107694, 107696?\nAnswer: 107696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-2) - (-4)\/8. Suppose -m - 1 + 3 = 0. Let k(i) = i**2 - i**m + r*i**2. Let l(q) = -2*q**2. What is k(l(f))?\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.57 - -0.87. What is the closest to -1 in 1\/4, u, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 4*z = -3, -29*z + 3 = -3*w - 31*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48841019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -224459, -224418, -224379, -224342, -224307, -224274, -224243?\n\"Answer: -t**2 + 44*t - 224502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 0.1, 0.6, -6, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 104*u - 102*u + 222*u as r + z*u and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -9*n + 59 - 59. Let m(i) = i**2 + 1301*i - 1301*i. What is h(m(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -11\/202?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 132*y - 670 wrt y.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -0.29, 0.1, -243?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 463*h**2 + 239*h**2 - 294*h**2 - 81*h**2 + 939*h**2 to j*h + x + c*h**2 and give c.\nAnswer: 1266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -3. Let c be j + -4 - (-33)\/9. Let s = 141 - 141. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 150 + -31324?\nAnswer: -31134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/(-155)*17\/(-34)*(-8)\/(-10).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -55*q + 20. Let o be m(1). Let h(l) = l**3 + 35*l**2 - 28*l - 143. What is the hundreds digit of h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 8*q - q)*(365 + 200 - 145).\nAnswer: -3360*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p = 67 - 187. What is the units digit of (2490\/2)\/3 + 13 + p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = -5*j - 4*r, -2*j + 5*r - 17 = -37. What is the highest common divisor of 153 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 27  (b) 1  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19902517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4020 and -0.33.\nAnswer: -4020.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l. Let u(i) be the first derivative of 4*i**2 + 11. Calculate j(u(t)).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 - 14*d + 20. Let m be z(-15). Suppose 13 + 12 = m*q. What is the first derivative of 19*s**3 - 1 - q*s**3 + 2 wrt s?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hd when two letters picked without replacement from dvhhh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3928, 12972, 27112, 46348, 70680?\n\"Answer: 2548*p**2 + 1400*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 19 = 3*y, 0 = 4*y - d - 1 - 9. Suppose -y*f + 10 = 1. What is the third derivative of 0*p**5 + p**2 - 6*p**5 + f*p**5 wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -6*o - 30. Let d(j) = 1. Give 30*d(f) + k(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(2\/7))\/y**2*y**1*y*y**2 assuming y is positive.\nAnswer: y**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 5. Let w = 13\/36 - 1\/4. Which is the closest to -1?  (a) w  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rkqrkkqqqri. Give prob of picking 1 i, 1 q, and 2 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 1 - 3. Sort k, 0.2, 0.4 in ascending order.\nAnswer: 0.2, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/6, -6\/17, 35, 3, -1, -4.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 72*w**2 + 48*w + 48. Let i(j) = 2*j**2 + j + 1. Let h(x) = 48*i(x) - s(x). Let k(m) = -2*m. Calculate k(h(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 18*g - 21. Let p(h) = -h. Let n(k) = -2*i(k) - 18*p(k). What are the prime factors of n(-7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1320, 4, 387, 1 in ascending order.\nAnswer: -1320, 1, 4, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 28*v**2 + 156*v - 50. Determine x(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -82632.1980117 + 82632. Let x = g - -0.198. Round x to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-128)\/(-112))\/((-38)\/133)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 156.86 + -154.86. Which is the second biggest value?  (a) i  (b) -45.2  (c) -2  (d) 1\/3  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 152 + -137. Suppose -12*r = -b*r + 24. Calculate the greatest common divisor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*a**4 + 2*a + a - 5*a**4 - 22*a**2 as j*a + n*a**2 + y*a**3 + w + b*a**4 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a + 29f?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -3*m**5 + 666*m**4 - 16719*m**3 + 82668*m**2 - 117828*m + 51216 = 0.\nAnswer: 1, 4, 22, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -258*n - 7727 + 1181 - 1959 = 147*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4826 is divided by 967?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 360*n + 1470. Calculate the remainder when 42 is divided by y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*t + 10*t - 48. Let u be (t\/(-9))\/(20\/90). Solve 8*k = 3*k + u*o + 5, -4*k + 5*o = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2*b + 247 = 27, -5*t - 3*b + 264 = 0. Suppose -38*d - 2016 = -t*d. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5*p + 0)*(-5*p + 2*p + 4*p)*(5*p**2 + 6*p - 3 - 3*p**2 - 5*p).\nAnswer: -10*p**4 - 5*p**3 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + (0 - -4) + 1. What is the lowest common multiple of 10 + 7\/((-21)\/6) and -6 + 126\/12*z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9737179953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -6*l + 4*l. Calculate the greatest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204 = 43*q - 505. Solve 0 = 5*j - 4*f - 7, -3*f + 0 - q = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192018917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 236508511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.7 + 55.6. Let l = u - 56. Let g = -3 - l. What is the closest to 2\/5 in g, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 30 = 11*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4122682005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2917 - 1123 = -404*x. Let f(o) be the first derivative of o**2\/2 + o + 1. Determine f(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -800.74396 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 119*y**2 - 5*y + 2. What is the lowest common multiple of s(2) and (-1 - (-3)\/15)\/(12\/(-180))?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*b - 610 - 1354 = 436 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*i + 3*i + 0*i)*(-63 + 63 + 2*i + i**3) in the form t + h*i**4 + q*i**2 + v*i**3 + b*i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of -1\/2520*w**8 + 0 + 8*w**2 + 1\/450*w**6 + 7\/180*w**4 - 2\/45*w**3 + 0*w + 2\/1575*w**7 - 4\/225*w**5. Factor b(r).\nAnswer: -2*(r - 1)**4*(r + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 791160 divided by -380.\nAnswer: -2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -44*d - 75. Let i(q) = -220*q - 350. Let u(a) = 3*i(a) - 14*l(a). Let x(j) = 16*j. Determine u(x(w)).\nAnswer: -704*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*((-10)\/5)\/(4\/(-1)). Sort -1\/4, 7, w.\nAnswer: -1\/4, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*p**5 + 112*p**3 - 13*p**2 - 37*p.\nAnswer: -240*p**2 + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 151*b - 65*b**2 + 149*b - 360 + 5*b**3 - 5*b**2.\nAnswer: 5*(b - 6)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 4*j**2)*(5*j - 2*j - j + (2 - 1 - 2)*(-8 + 8 + 4*j) - 1 + 3 + 0*j - j).\nAnswer: -12*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*2\/12*(148\/925)\/(32\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(2*sqrt(88)*-4 + sqrt(88) - sqrt(88)))\/(sqrt(16)\/sqrt(2)*1 - (sqrt(8) - sqrt(32))*-6).\nAnswer: -16*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 + 10*n**2 - 470*n - 4339. Calculate c(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3457*n + 2720*n - 1339*n.\nAnswer: 4838*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4084220999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 178 - -105. List the prime factors of q.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 14*g + 84. Let z(f) = -15*f - 98. Let i(d) = -6*r(d) - 5*z(d). Give i(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from 0.083.\nAnswer: -2.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(33)\/sqrt(3))**2 - ((sqrt(99) + (sqrt(99) - (1 + sqrt(99))))**2 + sqrt(11)).\nAnswer: -111 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 4:11 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y = -26 - 403. Differentiate -68*g**2 + 68*g**2 - 42 + y*g**4 wrt g.\nAnswer: 156*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 4*t + 39. What is the lowest common multiple of 14 and t - (-16 - (-5 + 1))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and 441?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**5 + 2*j**5 - 4*j**5 + (-181*j**4 - 17*j**4 - 49*j**4)*(0 - 15 + 1)*(j - 2*j + 3*j).\nAnswer: 6917*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 90 - 89.91. What is the third biggest value in 0, 0.1, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119*o**3 - 174*o**3 - 765*o**3 - 14*o.\nAnswer: -820*o**3 - 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i + 18. Let b be w(-24). Suppose -64*x + b*x = 7366. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(19) - (-4 + sqrt(19)*-6)**2 - sqrt(19)).\nAnswer: -700 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 4*u**3 - u**2 - 7*u + 2. Calculate a(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 7*x**6\/120 + x**5\/10 + 2*x**2 + 6. Let r(v) be the second derivative of y(v). What is the third derivative of r(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/8 + (3 - (-1336)\/(-320)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 + 2*z**2 + z + 4. Suppose 18 = 3*l - 5*x, l + 3*x = 2*x + 14. Calculate the remainder when l is divided by w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 30*n**3 - 587*n**2 + 870*n - 269. What is h(18)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 902 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 + 78*i. Let q(z) be the third derivative of -z**4\/8 + 379*z**2. What is q(x(b))?\nAnswer: 3*b**2 - 234*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(21)*-2)\/sqrt(3)*2 - (0 + sqrt(112) + -1 + sqrt(112)*3 + sqrt(112) + sqrt(112)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 5 - 4 - 210*v - 5 + 1. Let g be b(4). Calculate the common denominator of 71\/16 and (-8)\/44 + g\/(-462).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 27 = 5*r, -p + 183*r - 185*r = 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/38621870 and -43\/11?\nAnswer: 424840570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -29*o - 29. Let l(c) = 1. What is -29*l(j) - y(j)?\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165647 is divided by 407?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/5 and (((-4)\/6)\/(246\/27))\/1.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*t - 20 = -3*n, 0 = 4*n + 5*t - 94. Let f = n - 13. Let d = f - 20. Which is bigger: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + sqrt(1573) + 2)*3 + sqrt(1300)*-5*-5.\nAnswer: 6 + 286*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -58*v - 289. What is l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of m**5\/35 - m**4\/14 - m**3\/21 + m**2\/7 - 3. Factor x(c).\nAnswer: c*(c - 2)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000260197081 to six dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -10*q. Let z(m) = 6*m - 5. Let o(a) = -a + 1. Let n(b) = -5*o(b) - z(b). What is n(v(g))?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4711 - -4709.011. Let h = u + 1.991859. Round h to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6172 + -3674?\nAnswer: -10856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/33)\/((-4)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1518 is divided by 94?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 5*f + 4. Let y = 16 - 27. Let c(m) = m**2 + 10*m - 3. Let r be c(y). Suppose -r = -5*k + 17. Determine t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-186964)\/(-5435))\/((-80)\/150*(-6)\/4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 1:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3 + t**2 + 6*t - 2 - 12 - 4. Let w = -1285 + 1277. Let z be f(w). What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - (-2 + 1)) + 2. Suppose g + 2 = 4. Let s be 35\/28*(7 + -3). Solve s = -3*f - r*l, -f = 3*l + 8 + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1303 less than 1294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 - (-84*64)\/4. Suppose 3*l - 3*u - 1065 = 0, -5*l + 466 + j = 3*u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 5, -1\/10, 1, 4, 147\/179?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*k + k + 13, -5*u + 23 = 4*k. Suppose 16 = k*z - 3*z. Solve -5*j + 10 = -3*g, 2*j - z = g - 6*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 30*q**2 - 8*q + 16. Let r be m(-8). What is r rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 26 = -58. Is 15*(w\/315 - (-29)\/15) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7386543, -7386542, -7386539, -7386534, -7386527?\nAnswer: -7386518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010943 to four dps.\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 12*z + 131. Let x be v(-11). What is the units digit of (x\/(-1))\/(11\/(10936 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6170.3 rounded to the nearest one hundred?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, x: 9, o: 7}. What is prob of sequence ox?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -357 - -605. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 3. Suppose -9*b + 48 = -p*b. Solve 2*d = -2*d - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of x**5 + 108*x**4 + 29*x**3 - 38149*x**2 wrt x.\nAnswer: 60*x**2 + 2592*x + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-336)\/3*(-78)\/(-12)*82\/1066?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3*n + 5 = 0, 3*m - 3*n - 66 = -21. Suppose m*d = -102 + 462. Calculate the remainder when 143 is divided by d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 3 - 3)*(2*p**4 - 2*p**4 + p**4) - 4*p**5 + 0*p**5 + 2*p**5 - 3*p**5 + 2*p**5 - p**5 + (-1 - p + 1)*(-5*p**4 + 2*p**4 + 4*p**4).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = -3*m - 38. Let i be 12\/m*(-1)\/2. Let k = 4 - 1. Put -4, k, i in ascending order.\nAnswer: -4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76.42 - -76. Let h = l - -0.12. Let z be 21\/56*(-4)\/(-9). What is the biggest value in z, h, -1\/10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + -8. Find the second derivative of 0*d**4 - d - d**4 - 5*d**f + 0*d wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**5 + 71*r**4 + 11605*r**3 + 107785*r**2 - 41124*r - 1165536 = 0. Calculate r.\nAnswer: -71, -9, -4, 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*w - 462 = 6450. Calculate the greatest common divisor of 156 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48 (base 11) to base 4\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1176*g = 5*s + 1177*g - 82, -s = 11*g - 38 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -182245*y**3 + 2*y**2 + 3*y - 15761271?\nAnswer: -546735*y**2 + 4*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -14*(1 - 4\/8). Let u be -6 - f - (0 + 3). Let w = 11 + -16. Sort u, -4, w in ascending order.\nAnswer: w, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from yyddjjdj?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -212 + 34 - -97 - 37?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 632710922 and 632710921 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-25)\/(-20) + -2 + 0. Which is the nearest to -1?  (a) -0.5  (b) 2\/11  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*a + 56 - 23*a - 147 - 130*a.\nAnswer: -a - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-9)*t**(6\/13)*t)\/(((t\/t**(5\/7))\/t*t)\/(t\/(t*t**(-4)))) assuming t is positive.\nAnswer: t**(-166\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*a + 71*a + 2100 = -2163 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -9*m - 43. Suppose -7*x = -9 + 44. Let b be u(x). Let c(z) = 19*z**2 - 7*z**2 - 8*z**2 - 6*z**b. Let o(k) = -k**2 - 26*k. Give c(o(h)).\nAnswer: -2*h**4 - 104*h**3 - 1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 3*n**2. Let d be -1*(-7)\/(-2)*-2. Let w(q) = 2*q**2 + d*q - 7*q. Calculate v(w(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 645792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 31 = -2*q. Suppose -4*w + 123 = -2*d + q, -w + 2*d = -29. List the prime factors of (-6)\/w + (-102)\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 31  (b) 0.5  (c) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 45*a + 29. Let z(u) = -46*u - 28. Let o(w) = -7*g(w) - 6*z(w). Is o(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 558.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 520932 and 280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k + 16. Let f be h(-8). Solve 5*t = 2*p + 2*p - f, -4*p + 4*t + 4 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2985067?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2613899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 3*b - 2*b**2)*(-4*b**3 - b**3 + 3*b**3) - 3*b**5 + 1 - 1 + 4*b**2 + 506*b**5 - 4*b**2 + 54*b**5 + 0*b**5.\nAnswer: 561*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l**2*q**3 + 4327538*l**2*q**2 - 29*l*q**3 - 2437*l*q**2 + l*q - q**3 + 6 wrt l.\nAnswer: -4*q**3 + 8655076*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*v = -1240 + 1070 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 4*z - 187 = 0, -k - 50*z - 50*z + 38 = -99*z for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/(-6))\/(((-18)\/(-40))\/(-3)). What is the remainder when 10\/(4 - 6)*24\/x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.119 and -1.068238.\nAnswer: -0.127120322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 8ec?\nAnswer: 8ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-130719*f**2 + 71039*f**2 + 66810*f**2)*(3*f - 3*f - 2*f) to y*f + s*f**2 + w*f**3 + z and give w.\nAnswer: -14260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - n - 2. Let j(d) = d**2 + 2*d + 3. Let l be (0 - (-3 - -6)) + 5. What is l*j(b) + 3*x(b)?\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s - 35 = 0, 2*n - 3*n + 0*n + 4*s + 76 - 64 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 17*p + 1 - 2\/15*p**3 - 1\/15*p**2 - 1\/10*p**4. Factor l(q).\nAnswer: -2*(3*q + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6841 - 737?\nAnswer: -7578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-12))\/4*(-8)\/(-4)*9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175594800.\nAnswer: 2, 3, 5, 41, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (14 - 13)\/6*(39 + 0) + -6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/10)\/(21\/(-15)). Let y = -31\/3 - -335\/33. Let k = 2.8464 - -1.1536. What is the second smallest value in y, q, k, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 583 and 110?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = -3*x - 4, -3*w + 3 = -71*x + 73*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*2\/(-4) - -1. Suppose 3*b + v = 15, m = b + v - 3 - 0. Suppose -4 = f, -3*f = -b*o + 2*o - 664. Round o to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 12:37 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0013567 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/986598 and -33\/1858?\nAnswer: 986598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -76558381*x**3 + 337855080*x wrt x.\nAnswer: -459350286*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1509\/4  (b) 33  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -638332 by -4.\nAnswer: 159583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 - 32*v + 3. Suppose s + 1217 = 1214. What is the remainder when j(s) is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/3*3)\/(9\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**5\/3 - 22*v**4\/3 - 106*v**3\/3 + 258*v**2 + 1440*v + 1800 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 30 - 110 = 0. Let a(q) = -q**3 + 5*q**2 + 4*q - 2. Let l be a(4). Calculate the greatest common divisor of l and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*k**3*r**3*z + 94*k**3*r*z + 8*k**2*r**3*z - 12*k**2*z - r**3*z wrt k?\nAnswer: -24*r**3*z + 564*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/946 and 23\/8.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10557 - 908*l**2 - 5284 - 5274 + l)*(5*l**3 - 8*l**3 - l**3).\nAnswer: 3632*l**5 - 4*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -145597 by 19.\nAnswer: -7663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 7*v**2 + 4*v + 5. Let d(k) = -k**2 - k - 1. Let t(h) = 2*d(h) + p(h). Let g(x) = -3*x**2 - x - 2. What is 8*g(z) + 5*t(z)?\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 8) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2775.9 + -2773.2334. Let b = -16.9548 + h. Let w = 14.3 + b. Round w to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2143664 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*w - 7. Suppose -w*q + 4 - 2 = 0. Suppose -2*v + 6*r = 4*r - 12, v - 4*r - 12 = 0. Solve 0 = -v*x - 15 - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3055955573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(1\/5)*q)*q**2\/q)\/(((q**(4\/5)*q)\/q)\/q**4))\/((q\/(q\/((q\/q**(-2\/3))\/q*q)))**(-1\/11)*q**(-5)*q*q**6) assuming q is positive.\nAnswer: q**(71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 3971.37388 to 1 decimal place.\nAnswer: 3971.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 4, 37, 3.\nAnswer: -5, -2, 3, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 298309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 63*z - 67*z + 12. Suppose n - z*s = 18, n - 29 = 5*s - 5. Calculate the smallest common multiple of 11 and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 81.01235 hours?\nAnswer: 291644460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - 0. Let n = 0.8 + -1.2. Which is the closest to g?  (a) -3\/5  (b) n  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, d: 1}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18*14\/(-315))\/((-24)\/(-15) - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2*a = -482 + 471, -2*b = -5*a + 33. Let l(r) = 21*r - 7. What is l(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccycy. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6551 is divided by 1628.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188*x - 11309 = -3*n - 183*x, 2*x - 4 = 0. Calculate the highest common divisor of n and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3775*p = 3734*p - 533 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*g = -1005, -5*w + 1007 = 4*g - 0*g. Suppose w + 57 = 5*d. What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 5*o - 9. Suppose 14*q + 5*q + 2147 = 0. Let t = q + 121. Are t and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 + 12. Let o = 12 + b. What is the second derivative of -7*l**4 + 2*l + o*l**4 - 3*l wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 2592.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -91a7 (base 16) to base 9.\nAnswer: -56130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 25*p**3 + 6*p**2 + p - 13. Let b(s) = 8*s**3 + 2*s**2 - 4. Calculate 7*b(q) - 2*n(q).\nAnswer: 6*q**3 + 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 54 - -112. Let g = 170 - r. Is g greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3720 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 173532 - -127?\nAnswer: 173661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*38508.\nAnswer: 7701.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16 + (2\/5 - (-60)\/(-25)). Suppose -o + 28 = -4*s, 4*s + o - v + 34 = 0. What are the prime factors of ((-6735)\/(-9))\/5 + s\/(-18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -9965 + -1 + 1 - 6. Round h to the nearest 100.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14283062 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 2*q + 18*u - 13*u, -2*q = -u + 32. What is the closest to q in -2\/11, -23, -0.2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 339.3203 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 22679100 rounded to the nearest 100000?\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i - 9. Let l be a(-6). Suppose 8*p - 3*p = -3*c + 45, -5*c = -2*p - 13. Suppose -16*g - 18 = -22*g. Solve -g*m - l = p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, s: 5, n: 8, g: 4}. Give prob of sequence gcc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - 0) + (-32)\/(-18). Let h = 0.032 - -18.968. Let z = 18.6 - h. Sort z, a, 4 in increasing order.\nAnswer: z, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {u: 4, g: 3, r: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19322 is divided by 3863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - q - 1. Let z(j) = j**3 - 6*j**2 + 7*j + 5. Let o = 5 - 3. Let p(d) = d + 10. Let x be p(-8). Suppose x*w = o - 12. Give w*t(r) - z(r).\nAnswer: -r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h*h*(h\/(h**4*h)*h)\/h)))**28 assuming h is positive.\nAnswer: h**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11844 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12.652 + 13.7171. Let q = -3.8919 - u. Let s = 0.043 - q. Which is the nearest to 2?  (a) s  (b) -2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2563789 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1107887650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1110*x - 305*x - 26466 + 75991 = 0 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (801*b - 420*b - 420*b)*(-3 + 0 - 4) to the form d*b + t and give d.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 31009?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9*p. Let x(f) = f. Let w(h) = t(h) - 5*x(h). Let m(o) = 11 + 3*o - 11. Determine w(m(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 - 6*w - 5. Determine u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(12\/3)*-3. Suppose -4*x + 112 = -4*t, x = -c*x + t + 127. Calculate the smallest common multiple of x and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21, 3, -33, -93, -183, -309, -477, -693?\n\"Answer: -v**3 - 3*v**2 - 2*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 8*b + 18. Suppose -3*d = -8*d + 35. What is the units digit of h(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 + -24. Suppose -o - 4*o = z. Let g be o - (-8 + (0 - -3)). Sort g, -1, -3.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 - -11. Let g be (0 - 44\/j)*10. Suppose -4*n + 2*o - g + 392 = 0, -2*n + 170 = -3*o. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60770 and 146320?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2560 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**4 + r**3 - r**3)*(-1 + 3 - 1) + (-2 + 2*r**3 + 2)*(1 - 1 - 2*r).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 - -158. Suppose -111 = 7*l - 10*l. Calculate the greatest common factor of g and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305031 is divided by 2140?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 2, 4, -3 in decreasing order.\nAnswer: 7, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(36\/15 + -3). Suppose -4*h + r*k = -6, 5*h - 3*k = -4*k + 22. Calculate the highest common factor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 12:31 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 divided by 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 18 + 33 = 21. What is q in 5\/3 - 1\/3*q**3 + 23\/6*q**z - 31\/6*q = 0?\nAnswer: 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 14705, -16 in descending order.\nAnswer: 14705, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 852*h**3 - 852*h**3 + 17 - 2*h**4 + 59*h - 20 in the form z + m*h**4 + s*h**3 + k*h**2 + d*h and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*i**4 + 6 + 5 + 13 - 3*i**4 wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 - 2588294897298.\nAnswer: -2588294897297.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-104*r - 21*r + 17*r)*(3 + 2 - 6)*(0*r + 4*r - 3*r) to s*r**2 + v*r + k and give s.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 14) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -440 smaller than 69846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.30269 - 0?\nAnswer: 60.30269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 457 divide 111508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35d4b8 (base 14) to base 2.\nAnswer: -111000001101111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 44 - 16 = 0. Let i = -18 - w. Solve 4*l = i*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r + 3*r + 3*r + (-2*r + 5*r + r)*(0 + 0 + 2))*(r - 2*r - r)*(8 + r**2 - 8).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19023456*t**3*w**2 - 412861*t**3*w + 2*t**3 wrt w?\nAnswer: -38046912*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (0 - 2) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 11) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 35764 = 35626 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 8) + (458 - 430) + (-26 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1306660 (base 7) to base 14\nAnswer: 461a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k**3 + 5956*k**2 - 5948*k**2 - 1 - 14*k**3 + 2 to the form j*k**2 + q*k**3 + y*k + r and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + l**2 - l + 4. Let w = 13 - 13. Let i be f(w). Let z = 1 - -1. Solve i*d + 3*h - 16 = 0, -z*h + 0*h + 5 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (137 - 138)\/(14\/8 - 2) and 53.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3*w + 600 = -0*w, 5*w + 376 = 3*c. Suppose -c*s = -115*s - 1964. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/15 in 4, -6, -0.5, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -159 + 91 - 600 + 717*j**3 - 1326 - 40 wrt j.\nAnswer: 2151*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 27*q**2 - 6*q - 12. Let s(i) = 29*i**2 - 7*i - 14. Let b(n) = -7*o(n) + 6*s(n). Let j(v) = -2*v**2. Give j(b(l)).\nAnswer: -450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 946\/4391 or 0?\nAnswer: 946\/4391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19221 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 213450 - -1213?\nAnswer: 214663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -5*u**4 + 929845*u**3 - 4649135*u**2 + 6508755*u - 2789460 = 0.\nAnswer: 1, 3, 185964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 7*g + (2 - 4 + 3)*(g + 2*g - 2*g) + 4*g + g - 3*g)*(-4*g - 3*g + 5*g).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2652 by -6.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10\/3 - (-3)\/(-9). Suppose -6 = -u*a + 3. Calculate the least common multiple of 6 and (-3 - a)\/2 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 393*m**2 + 98*m**2 - 122*m**3 + 295*m**2 + 2*m.\nAnswer: -122*m**3 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*c - 2*j, -c = 21*j - 17*j + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -12*l**3 - 2*l**2 + 2*l - 1. Let n be v(1). Let j = 23 + n. What is the units digit of (-1 - 2)\/((-15)\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 2 + sqrt(22)\/sqrt(2) + 2)**2 + sqrt(44) + -5 + (-5 + sqrt(22)\/sqrt(2))**2.\nAnswer: 8*sqrt(11) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/87 and (13 - 5) + 188\/(-12)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19000, -19898, -20796, -21694?\nAnswer: -22592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -2. Let l = -7 - -7. Let n(k) = 3 + l*k - 1 + 2*k - 1. Give n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2282 and 21015264?\nAnswer: 147106848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 25*m**2 + 19*m - 69. Is v(18) a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 793\/526 - 2\/263. Let b = -0.5 + 0.4. Sort b, n, 4 in decreasing order.\nAnswer: 4, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/15)\/o**(-2\/15) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 11*v + 202. Let g be j(-18). Let z(b) be the second derivative of 5*b + 2\/5*b**6 + 3\/2*b**g - 27\/20*b**5 + 0*b**2 - 1\/2*b**3 + 0. Factor z(s).\nAnswer: 3*s*(s - 1)**2*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qkkqkekeqkkyeqkykqq. What is prob of picking 3 e?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 598 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: 1\/3*(-156)\/364\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggtkgtkk. What is prob of sequence tgt?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 9*u**2 - 2*u + 21. Calculate s(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -6 - 12 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 7:37 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 - 86*x - 403. Let r be d(-5). Solve 7*b + r*b = -54 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17486249 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -0.13444.\nAnswer: 9.86556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.94041 - -44105912.\nAnswer: 44105914.94041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 4606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -56?  (a) -0.1  (b) -4\/7  (c) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 3 + 9)*(-3*f**2 - f**2 + 0*f**2) as k*f + q*f**2 + b and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 152*x + 851. Is u(63) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -216558838*u**3 + 57*u**2 + u - 237618 wrt u?\nAnswer: -1299353028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -799621\/48 + 16658. Find the common denominator of p and 152\/102 - (32\/(-8))\/(-8).\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -192 + 289. Let r = g + -50. Suppose -189 = -4*k + r. Is k 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 -u**5 + 455*u**3 - 2*u + 322 wrt u?\nAnswer: -20*u**3 + 2730*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*o + 9 = -33*o. Suppose 4*z - 2205 = -5*q, -z = 4*q - o*z - 1790. What is the remainder when q is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, z: 1, q: 1, a: 2}. Give prob of picking 1 a, 1 v, and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2849 - -2882. Solve h*r - 38 - 28 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 92, -3, 10 in ascending order.\nAnswer: -3, 2, 10, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 762 - 766. Let d = 26 + -26. Let k be (d + (-6)\/2)*-1. Sort k, m, 0.\nAnswer: m, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 6*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -166678897.5 to the nearest 100000.\nAnswer: -166700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13769622?\nAnswer: 2, 3, 254993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -5)*(-3)\/(105\/(-28)). Suppose d*r + r + 10 = 0. Let y be 40\/(-35)*1\/(r\/7). Solve 0*p + 20 = -y*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3088 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - (1 - 1)) + (287 - 277) - -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4702 - -4737. Calculate the remainder when 155 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + 2*k**2 + 4. Let p be a(5). Let c = p + 119. Suppose 2*j = 2, 5*h = -2*j + c - 16. Let t(d) = d**3 - 5*d**2 - 7*d. Give t(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of u**4\/24 - 4*u**3\/3 + 17*u**2. Let l be g(12). Solve 5*c - 20 = -y, -l*y = 4*c + y - 37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2614155418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 3*a**5 - a + (3*a**2 + 2*a**3 - 3*a**2)*(-a**2 + 2*a**2 - 3*a**2) - 222*a**2 - 263*a**2 + a**5 - 3*a**5 + 546*a**2.\nAnswer: -3*a**5 + 61*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/109120 and -91\/372?\nAnswer: 327360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from svvssssvssssvs. Give prob of sequence vvsv.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 6*i. Let n be k(1). Does 7 divide ((-8)\/10)\/(n\/(-150))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 232603611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.11?  (a) -4  (b) -0.753  (c) 0  (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29 + -43. Let i = 16 + z. Let s be i\/(-4)*-10 + -2. Which is the second smallest value?  (a) 0.2  (b) -1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10853 (base 10) in base 2?\nAnswer: 10101001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + l + 12455 = 0, -8295 = -8*z + 6*z - l. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a**3 + 100*a**2 + 1131*a - 22. What is m(-9)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s - 2. Let u be 4\/28 - 102\/(-21). Let o be a(u). Let z = 16 + o. What is the lowest common multiple of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19049*o**2 + 59186*o - 59186*o - 38103*o**2 - 7*o**3 + 19054*o**2.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 7*i + 88 = 0. Let y = 11 + i. Let u(o) = -8 - 2*o + y*o - 4*o + 1. Let j(n) = 2*n + 6. Calculate -5*j(v) - 4*u(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.1  (b) -5  (c) 2\/15  (d) 2\/9589\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 377501*s - 377628*s = -10033 for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2 - 5332520*u - 15997596.\nAnswer: 4*(u - 1333133)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31.8 - -15. Let x = -16.8 - y. Let l = 27.4 + -28. Which is the second biggest value?  (a) x  (b) l  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h - 6. Let k(q) = -5*q - 5. Let u(f) = 6*k(f) - 5*y(f). Let i(z) = 2*z. Calculate i(u(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42*u**5 + 192*u**2 - 3*u + 432.\nAnswer: -840*u**3 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**3 + 3*g**3 - 29*g + 31*g - 8*g.\nAnswer: 5*g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 478852 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s - s**2 + 3*s + (s + 2*s - s)*(s + 3*s - 5*s) - 3*s - 130*s**2 + 384*s**2 + s.\nAnswer: 251*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*n + 25*n + 25. Let c be n\/(-10)*4\/6. Let o(a) = -a**2 - 4*a - 2. Let s be o(-3). Are c and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -3*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3800172.\nAnswer: 2, 3, 316681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3*y + 0)*(y - 6*y + 2*y) + (3*y**2 + y**2 - 5*y**2)*(-14 + 103 - 29).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q. Let r(t) = t**2 - 3*t. Let s(b) = -2*b**2 + 2*b. Let c(m) = -2*r(m) - 3*s(m). What is c(h(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*-5*3\/(-15). Suppose -4*x = -d*a - 5 + 29, -20 = 4*x. What is the smallest common multiple of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/112 - (-2)\/(-8)*(-26)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000416879889 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/10*1*5\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 10*l**2 - 23*l - 10. Calculate the remainder when 28\/(-6)*3\/(-2) is divided by b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1 + -101 + 0 + 4 + -20 + -8\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15)\/(-6)*-1*4\/16.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (90077\/(-507))\/(0 - 2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 111\/270853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j**2 + 29*j**2 + 11*j**2)*(-22*j + 4 - 4) - 2*j**3 - 2*j + 2*j.\nAnswer: -948*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 32 divided by -16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 - 2*x**2 - 4*x**2)*(-2*x + 1 - 1) + 7*x**3 - x**3 - x**3 + x**3 - 3 + 5 + 10*x**3.\nAnswer: 24*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -540 divided by -72146\nAnswer: 270\/36073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m + 14. Suppose 5*a + 2 = y - 10, -36 = -3*y + 3*a. Let p be d(y). Suppose -o = 5, 3*r - p*o = -3*o + 1456. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 104 + -204. Let n be k\/14 - -3 - -4. What is the fourth biggest value in n, 4, 0, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3*d + 2. Let t(i) be the second derivative of i**3 - 5*i**2\/2 + 39*i. Let n = -3 - -9. Let c be (n - -1) + 2 + -4. What is c*u(s) + 2*t(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2381 = -149*d - 1609 + 3102 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, g: 2, a: 2, f: 1, o: 1}. What is prob of sequence sa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 - 5 + z + 14 - 8 in the form b + i*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 6:58 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41137, 66959, 92769, 118561, 144329, 170067, 195769, 221429?\nAnswer: 247041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a - 11 = -43. Sort 1, -50, a in descending order.\nAnswer: a, 1, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*1*-1 - sqrt(204) - 3*sqrt(204)*-2)\/((sqrt(12) - -2*sqrt(300)) + (-1*sqrt(108) - sqrt(12))))**2.\nAnswer: 425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -0.06, -2, -5 in descending order.\nAnswer: -0.06, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -187794.06307 and 4?\nAnswer: 187798.06307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, e: 4, s: 6, r: 1}. Give prob of sequence rs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 197.45 - -2.55. Let s = -199.878392648 + -0.121941352. Let o = v + s. Round o to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 18*f + 2. Let x(p) = 53*p + 5. Give -7*s(w) + 2*x(w).\nAnswer: -20*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-44*h**3 + 48*h**3 - 44*h**3)*(-3*h + h + 0*h) to the form x*h**3 + o*h + q + i*h**2 + b*h**4 and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 15*m**2 - 9*m - 1. Calculate q(15).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402173 is divided by 3867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 + 7*x**2 + 28 - 54 to the form n*x**2 + u*x + f and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -80*b + 78*b, 0 = -2*o + 5*b + 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164513939 is divided by 460?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/3)\/(4\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 88 + -85.05. Let l = 0.05 + i. Let y = -544 + 9246\/17. Sort l, y, -5.\nAnswer: -5, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 6, 0 in increasing order.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4485 = -5*k, -4*r + 2717 = k + 2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -161*f**4 + 6*f**3 + 6*f + 168. Let v(u) = 160*u**4 - 5*u**3 - 5*u - 168. Let g(d) = -5*h(d) - 6*v(d). Differentiate g(k) wrt k.\nAnswer: -620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(85)*-1 - sqrt(85))\/sqrt(5) - -1*(sqrt(425) + sqrt(425)*1)) + 1)**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-13)\/(-3)*(-81)\/9. Let c = p + 69. Solve -3*h + 2 + c = 5*g, 0 = -2*g + 2*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v. Let k(q) be the third derivative of q**4\/24 - q**3\/6 - 2*q**2 - 75*q. What is b(k(j))?\nAnswer: 4*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 3\/(-1 + -2). Let m = a + 3. Let f = -4 + 15. What is the remainder when f is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -3*k**2. Let r(b) = 61*b + 20. Let z(a) = 142*a + 51. Let v(g) = 12*r(g) - 5*z(g). Calculate v(j(s)).\nAnswer: -66*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*a - 36*a - 41*a + 22*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -43418 - -67144. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*l + 52*l - 5*l**2 + 57*l - 167*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 21*j**2 - 4*j**2 - 20*j**5 - 5*j**2 + 13*j**2 + 5*j + 15*j**3 - 25*j**4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (619 + 1196 - 1154)*(5*t + t - 3*t).\nAnswer: 1983*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -5*k. Let h be (6 - 8)\/(4\/(-6)*1). Let q(a) = 10*a. Determine h*q(v) + 5*x(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**2 + t**2 + 4*t**2 + (-6*t + t + 3*t)*(4*t - t - t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17571238*s**2 + 17910753.\nAnswer: -35142476*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3103 is divided by 605?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -7\/2*q**3 + 0*q**4 - 23\/20*q**5 + 0 + 3*q + 0*q**2. Find the second derivative of d(a) wrt a.\nAnswer: -138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-3)\/(-9)*(9 + -10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 8:25 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1597663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-18)\/15)\/(2\/5). Let f be (6\/d - -2)\/(-2). Determine u so that -1\/4*u**2 + f - 1\/2*u = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32210 - 123?\nAnswer: -32333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.0864531+-0.023297955\nAnswer: 0.063155145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*u = -4*u + 3884, -4*u - 1935 = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -170.51.\nAnswer: -682.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1244, 1470, 2080, 3266, 5220?\nAnswer: 8134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 164, 258, 362, 476, 600?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.05, 56177, -0.087?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.11?  (a) -1\/2  (b) 221  (c) 2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -45*c. Let z(f) = -3*f + 2. Let t be z(2). Let a(q) = 90*q - 1. Let o(n) = t*a(n) - 7*w(n). Is o(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8693670, -8693669, -8693668, -8693667, -8693666?\nAnswer: -8693665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 + 37*x - 25 + 55*x)*(-4*x - 12 + 12).\nAnswer: -368*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + 14*c**2 - 1 - 14*c**2 + 7*c**3 + 4 to i*c**3 + z + k*c + j*c**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6849 is divided by 1448?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151, -351, -575, -823, -1095, -1391, -1711?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -493, -492, -495, -502, -513?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145 = -7*o - 88*o - 140 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.02, -3, 5\/2, 0.4, 3\/28?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 23 + 4. What are the prime factors of (10\/(-3))\/(2\/y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12170306.09 + 0.5\nAnswer: 12170306.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 354908424*v**5 - 343209263*v**2 wrt v.\nAnswer: 21294505440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 11, 2\/3, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*y + 90*v = 88*v + 10, -2*y = 5*v - 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of 2*r**5\/25 + 2*r**4\/5 + 2*r**3\/15 - 6*r**2\/5 + 65. Factor c(j).\nAnswer: 2*j*(j - 1)*(j + 2)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 279\/10 - 28. Let f(v) = -v + 14. Let x be f(11). Suppose 7*a = x*a. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 7*q**3 + 2*q**2 - 13. Let z(k) = 3 - 6*k**3 - 3*k**2 + 9 - 9 + 11. Let i(f) = -3*b(f) - 2*z(f). Differentiate i(s) wrt s.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -m**4\/12 - 9*m + 42. Let d(q) be the first derivative of c(q). Let a(h) = 13*h**2. Determine d(a(k)).\nAnswer: -169*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h + 33920 = -114*h - 28*h. Which is smaller: h or -2985\/14?\nAnswer: -2985\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-2) - 33\/(-6). Suppose u - 56 = -2*m + 49, -2*u = -5*m - 228. Suppose -b - 4*b - 4*n = -u, j*b - 5*n = 145. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/44279 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k - 236 + 2 = 0. Is 1308\/k + (-2)\/(-6) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**3 - 5*n**2 + 4*n - 16. Let v be m(3). Which is the nearest to 0?  (a) v  (b) 0.3  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + 53 + 8*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -433020 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9776842 = -11*t + 11*t + 62*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 8 = 3*m + 7, 5*i + 2*m = -21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, r: 3}. Give prob of sequence zzzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**2 - s**2 + 2*s**2 - 3*s + 3*s - 4*s**2 + (s + 3*s - 2*s)*(-1 - 2*s + 1) + 215*s**2 + 18358 - 18358 - 2*s.\nAnswer: 209*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.04378 litres in millilitres?\nAnswer: 72043.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z - 4. Let i be d(5). Find the first derivative of -1 + 0*y - i + 3*y + 5 wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2483814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, a: 2, e: 3, u: 1}. Give prob of sequence aaee.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 19) + (0 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1175 - 1180 - (17 - -1)) + -48\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 63 = 17. Let l = 27 - 23. Solve t = -l*p - 4*v, -p - 15 = 2*p + 2*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.71 - -0.51. Which is the fourth smallest value?  (a) y  (b) -4  (c) 2\/3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2272640 divided by -536.\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 78 - 76. What is the closest to r in -1.1, -1\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 44  (b) -7  (c) -2\/19  (d) 0.34  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 12:55 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n - 1. Let z(g) be the third derivative of g**5\/120 + 67*g**3\/6 + 5*g**2. Let r(b) be the first derivative of z(b). Give 3*r(k) + t(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 481*q**4*s**2 + 388*q**2*s + 2*q**2 + 23*q*s**2 - 3*q*s + 6*s**2 + 277 wrt q.\nAnswer: 5772*q**2*s**2 + 776*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 5*c. Calculate o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -109 + 30. Let d = -54 - s. Suppose -4*p + 321 = -5*j, 3*j = p - d - 64. What is the least common multiple of p and 8?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/18)\/((-1313)\/39). Let v = s + -709\/606. Find the common denominator of -1 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (-387)\/(-42) + -1 + (-350)\/490\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 536*x**2 + 12*x - 15 wrt x?\nAnswer: 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.08 and 14437.\nAnswer: -1154.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(3\/(-29)) - 18\/54.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 40\/(-7) + (-2)\/7. Let k(f) = -5*f**3 - 19*f**2 + 16*f. Let c(b) = -b**3 - 4*b**2 + 3*b. Let s(w) = -11*c(w) + 2*k(w). What is the units digit of s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231872 is divided by 155.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 194350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -1\/2, -145\/17?\nAnswer: -145\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o + 3*o - 3*o + 3*o + 1 - 1 - 2*o - 3 + 3 - 2*o - 1 + 1 + (o + 3*o - 2*o)*(4 - 1 - 5) + (0 + 1 + 3)*(1 - 2*o - 1) as s*o + t and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/6*-3 + 1. Let s be (4\/(-5))\/(2\/(-15)). Let v be 5\/((-140)\/s) + 1\/7. Is v at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136939?\nAnswer: 11, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001264 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10879618 to 3 decimal places.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/1353, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d - 4875 = 39. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4*z**2 - 2*z + 2. Let p(r) be the second derivative of 5*r**4\/12 - r**3\/2 + 3*r**2\/2 - 171*r. Determine -2*p(n) + 3*u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.6422665009849 plus 1?\nAnswer: 7.6422665009849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(2*5\/40). Suppose 0 = 5*c - o*j + 129492, 5*j + 103610 = -4*c - 0*j. Round c to the nearest 1000.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h - 1530 = -20*h. Calculate the least common multiple of h and 15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 797568 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + -15316e?\nAnswer: -15316a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) - -3*(3*sqrt(152) - sqrt(152))) + sqrt(152))\/sqrt(8).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1042076 - 7?\nAnswer: -1042084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 224 = 15*h. Let y be (h\/(-7))\/(-4) + 21 + 0. Is y > 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1594670 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -283.67756 and 1436.\nAnswer: 1152.32244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**2)\/v*v\/v**(-5)*v\/((v\/(v*v*v**4*v))\/v*v*v)*(v\/(((v**(2\/7)*v)\/v*v)\/v))\/v assuming v is positive.\nAnswer: v**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1144 is divided by 713?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-5)\/(-3))\/(5\/(-315)). Let t = s + 35. What is the units digit of 4\/(-22) - t\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 336 = -6*y + 20*y. Let g be 6\/9 + (-20)\/(-6). Suppose -118 = -2*a + 2*o, -99 = -4*a - g*o + 145. Calculate the greatest common factor of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324255?\nAnswer: 3, 5, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-22) - 272\/(-44). Let h = 11 - o. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 264 - 243. Suppose 3*m = -c + 24, -4*m + 10 = 3*b. Let -1\/6*g + 0 + 1\/2*g**b = 0. Calculate g.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34184 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-27.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48786*u - 29 = 48790*u + x, 0 = -5*u + x - 25 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 21. Let q be (3\/n*6)\/(231\/14). Let y(d) = -2*d + 3. Let w be y(4). Which is the smallest value?  (a) w  (b) q  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 20 = 3*t. What is i in -t + 3*i**4 + 2*i**3 - 7*i**2 - 12*i + 20*i**2 - 6*i**2 - 16*i**2 = 0?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.9 + -2910978364461.\nAnswer: -2910978364444.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15014895, 30029789, 45044683, 60059577, 75074471?\nAnswer: 90089365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2286 + (-2 + -1 - -2) + 1. Suppose -g - 17 = 7*b. Let c = -30 - b. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1838 + 1896. Calculate the remainder when j is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/5  (b) 14  (c) -64.67  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66516746 by 2.\nAnswer: -33258373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/2 + (-174)\/(-84) and (0 - 3) + (-301)\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 149 - 154. Let z(c) = c**3 - 7*c**2 + 6. Let q be z(7). Let y be ((-3)\/18)\/(4\/q). What is the second smallest value in y, -0.01, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 4*o**2 + 5*o - 4. Let z be b(3). Suppose 0*g + g = -z*u + 11, 19 = 4*u + 3*g. Calculate the highest common divisor of 28 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -289000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2736 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1103 + -1091. Calculate the remainder when 118 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -10*p. Let z(v) = -15*v. Determine z(w(q)).\nAnswer: 150*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, -0.129, -0.2, -2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 4:16 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 44 = 3*c. Let p = -4 - -9. Suppose -p*z + 23 = x, -z - 22 = -4*x + 7. Calculate the smallest common multiple of c and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -m**6*w + 10862*m**4*w**3 + m**2*w + 11*m - 299*w**3 wrt m.\nAnswer: -120*m**3*w + 260688*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-12))\/((1 + 33)\/680).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, p: 1, w: 1, j: 6}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that d**2\/2 + 6374658*d + 12749315\/2 = 0.\nAnswer: -12749315, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 3*x + x)*(1 - 1 + 1)*(-1 + 9 - 2)*(1 + 0 + 2).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-28)*((y\/(y\/(y*(y\/y**1)\/y)))\/y)\/y*y*y**27*y**(1\/11) assuming y is positive.\nAnswer: y**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1319215, 1319216, 1319217?\n\"Answer: f + 1319214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 0.0463  (b) 0.3  (c) -5  (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((896\/(-760))\/14)\/((-10)\/(-4)*544\/(-1700))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1841.1 + 1841. What is the third biggest value in t, -0.4, 62, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/21)*v)**(32\/7) assuming v is positive.\nAnswer: v**(736\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -466b + -5?\nAnswer: -4671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 166 = 31. Suppose u = 4*t - m + 2, -4*t = u - 15. Let s(c) = -2*c - 4. Calculate s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven sevenths of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*w - 4*s - 16, 9*w = 3*s - 6*s - 1806 + 1809 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 362546557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8978062 and 0.06.\nAnswer: -8978061.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1375\/(-198))\/(-25))\/((-110)\/(-30) + 3 + 0)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkckclckckkckclklq. What is prob of sequence kk?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 4*f**3 + 72*f**2 + f + 23. Let n be g(-18). Suppose -m + 2*m - 498 = -n*w, -3*w + 3*m = -306. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -296 (base 10) to base 3.\nAnswer: -101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -265 or -272?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38493)\/(-1323) + (-12)\/126?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -49 and -114807.9397.\nAnswer: -114856.9397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 5*t - 2516, 2*q = -3*t + t + 1000. Suppose -t - 678 = 5*x. Let m = -138 - x. Round m to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 0.052, -2, -0.2, -4, 0?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -5. Suppose 173*z = -69*z - 29040. Put 4, d, z in increasing order.\nAnswer: z, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 + 10 + -3 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23*y - 31*y + 857 + 875*y**3 + 74*y - 20*y wrt y?\nAnswer: 2625*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9*c. Let s(v) = 4*v - 63. Let j(h) = 92*h - 1428. Let u(p) = 6*j(p) - 136*s(p). Determine 4*g(l) - 5*u(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t**3 + 3*t**3 - t**3 + (-15*t**2 + t**2 + t**2)*(-2*t + 2*t - t) - 3*t**3 - 2*t**3 + 7*t**3 to the form h*t + s*t**2 + f*t**3 + k and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005817 rounded to 4 decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in -0.248, -0.045, 0.13, 2\/5, 0.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110982\/433 or -256?\nAnswer: -110982\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4bbdd8 + 19?\nAnswer: 4bc013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fttatcaataacccccct. What is prob of sequence at?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 219.58.\nAnswer: -109.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 34657805 bigger than 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*n + 30*n - 612106 = -195331. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 871765?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - ((6 - (-4 + -2 + 5)) + -2 + 43).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -319*d + 105*d + 9*d + 104*d + 101*d - 556*d**2.\nAnswer: -556*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*z + 132 = -2*g, 35 = -g - 3*z. Let k be g\/(-12)*12\/(-16)*-1. Let s be 12625\/k*(-96)\/3. What is s rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1756380 and 0.052?\nAnswer: 1756380.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + 24*i + 23. Give b(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (70*4\/336)\/(10\/(-6))*(-106)\/(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (14\/(-24) + 51\/(-612))\/((-20)\/105). Which is the closest to 2\/5?  (a) -3  (b) j  (c) 5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 6*d + 4. Let j be k(-6). Calculate the remainder when (44\/(-6))\/(j\/(-18)) is divided by (4 - 28)*(-1)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*((l\/l**(-38))\/l)\/l)**5 assuming l is positive.\nAnswer: l**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 12*m = -484. Let g = m - 88. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2886, -5770, -8654, -11538, -14422?\n\"Answer: -2884*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 4 + 4)*(0*a - 5*a + 3*a) - 8 + 0*a + a + 9)*(1 + 1 + 2)*(0 + 0 + 1).\nAnswer: 12*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 2 = 5*r + 6, 0 = r - 4*l - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.090407 rounded to 3 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0609 and 1?\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*z**2 - 115 + 2*z**3 + 17*z**2 - 53*z**2 + 21*z**2 to w + h*z + u*z**2 + r*z**3 and give w.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, n: 3, a: 5, m: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 141920318 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 32869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 + 3*q + 3. Let v(m) = 2*m**2 + 3*m + 2. Let p(u) = -2*c(u) + 3*v(u). Let x be p(-3). What is the units digit of x*-1*1\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.14 - -0.14. Let r = -3.1 - o. Which is the nearest to r?  (a) -0.4  (b) 3\/5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16\/(-6)*(-9)\/6. Let u = g + -1. Suppose 4*j - w - 43 = -2*w, -u*j - w = -33. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-51) + ((-602)\/(-442))\/7.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57064 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 82.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 262, -20, -1\/8, -2\/3 in increasing order.\nAnswer: -20, -2\/3, -1\/8, 0, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -8 - ((121 - 115) + -4 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142054905?\nAnswer: 3, 5, 29, 326563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*w = 468, r + 2288 = 6*r + 3*w. Let u be (-1)\/5 + (-23)\/r + 0. Which is the closest to 0.4?  (a) -5  (b) 1\/6  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -399219268 or -399219269?\nAnswer: -399219269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -636*a**3 - 808*a**2 + 82*a - 1135?\nAnswer: -3816*a - 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -3*x + 367 - 367. Let g(k) be the third derivative of -k**5\/15 + k**2. What is g(r(u))?\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -10 - 25*o + 1 + 14*o + 12*o. Calculate c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -21, -34, -45, -48, -37, -6?\n\"Answer: m**3 - 5*m**2 - 5*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 504 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(6\/13)*g**(-1\/2))\/((g*g**(-6)*g)\/g**9) assuming g is positive.\nAnswer: g**(337\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 17\/19, 3, -451, -1\/7, 2 in ascending order.\nAnswer: -451, -18, -1\/7, 17\/19, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 10 = 4*t, -20 = -3*t - 0*m + 4*m. Suppose 2*y - 3 - 3 = t. Suppose y*h + h = 57200000. Round h to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c - 5. Let y be d(16). Let j = -17 + y. Let x(h) be the third derivative of -h**5\/60 - h**4\/6 + 2*h**3\/3 + 10*h**2. Give x(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 128*d**2. Let h(m) = 6*m**2 - 3. Let v(o) = -11*o**2 + 5. Let p(s) = -5*h(s) - 3*v(s). What is p(f(u))?\nAnswer: 49152*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 5*x**2 - 4*x - 2. What are the prime factors of d(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 16\/736287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**5 - b**5 - b**5 + (13*b**2 + 2*b**2 - 2*b**2)*(-3*b**2 + 3*b**3 + 3*b**2) + 39 + 9*b**5 - 39.\nAnswer: 44*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -133 + 157. Calculate the remainder when k is divided by -1*3\/((-3)\/13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19.386*2\nAnswer: -38.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -227*a + 72*a - 97*a + a + 3*a - 2*a + (2 - 1 + 1)*(3*a - 3*a + 2*a) + 0*a + 2*a + a + a - 3*a + 3*a.\nAnswer: -242*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 20005*q**2 - 9*q - 3. Is r(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-4) - 1*8. Let q(a) = a**2 + 8*a + 6. Let r be q(c). Suppose 0 = 2*b - 2 + r, 0 = -2*x - 4*b + 40. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3409.787 weeks to microseconds.\nAnswer: 2062239177600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 49420.63 nanoseconds in milliseconds?\nAnswer: 0.04942063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) 0  (b) 1  (c) -12  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2647 - -9639. What is the remainder when c is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - 878067.323.\nAnswer: -878067.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**3 + r + 1. Calculate d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 10. Solve f + 5 = -l*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 2. Suppose q*h + 4 = -4*w - 2*h, 0 = 4*w - h - 1. Solve -5*d + 4*i = -10, w = 2*i + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/200925 and -62\/598075.\nAnswer: 102270825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 4665400 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2356 and 13148?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/17 + 62*j\/17 - 260\/17.\nAnswer: -2*(j - 26)*(j - 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.76 minus -88.75?\nAnswer: 89.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 9. Is a >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 361608061?\nAnswer: 61, 283, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 3*a - 3 = 0, -70*a + 74*a = -2*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 4:07 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 790390753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-83 - -100)\/((-1096)\/46). Let t = v - 5\/137. Let j = 1.04 + -1. What is the second smallest value in 0.3, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-20 - -40)) + -13.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 10:34 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-363*m**2 + 361*m**2 - 9040*m + 8 - 8)*(0*m + 3*m - m).\nAnswer: -4*m**3 - 18080*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1186411165 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 154.8*-2\nAnswer: -309.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 178 - 54 = 4*a, 93 = 3*a - 2*u. Suppose 2*x + a + 11 = 0. What is the units digit of 4\/(-3)*x\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of 0 + 0*v**3 + 0*v**5 + 0*v + 9\/8*v**4 + 0*v**6 + 1\/21*v**8 + 0*v**7 + 9*v**2. What is the second derivative of o(x) wrt x?\nAnswer: 320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(500) + 2*sqrt(500) + sqrt(500))*1)\/(sqrt(40)\/(sqrt(4)*2)))\/(-2*sqrt(1440)*1 - (sqrt(1440) + 6*sqrt(1440)*-2 + sqrt(1440) + sqrt(1440))).\nAnswer: 2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/(-12))\/1)\/((-23)\/552)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/(-6)*(-9 - 1). Let f be (-54000021)\/15 + 6\/w. Let a be f + 3\/6*2. Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u - 2*u - 3*u + (-32 - 28 + 111)*(2*u + 2 + u - u).\nAnswer: 100*u + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9644542.97 rounded to the nearest one thousand?\nAnswer: 9645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3*y)*(689*y - 83*y**4 - 689*y).\nAnswer: 249*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*h**5 + h**2 - 67 wrt h?\nAnswer: 1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37827767 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*d - 5*w + 23, 3*w = -3*d + 15. Sort d, 4, -5.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - 5*m + 5, 3*w + 12 = -3*m. Let b(u) = -4*u - 6. Calculate b(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 382742 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 2*k - 74, -135 = 4*k - 3*d - 290. Calculate the highest common factor of 4224 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, -1\/4, 0.2, -1561903.\nAnswer: -1561903, -3, -1\/4, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 6337, -3, 4, 3 in decreasing order.\nAnswer: 6337, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-7 - 2) + (-14147)\/(-940) - 10\/75 and 10\/(-132)*9\/(-2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -4 + -21 + (2 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**4\/7 - 1156*c**3\/7 + 168194*c**2\/7 - 332928*c\/7 + 165888\/7.\nAnswer: 2*(c - 288)**2*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -4 + -1 + (54 - 47).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 4*q - 16 = 3*w, 4*w = -q - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 1 + 1)*(p - 3*p + 10*p) + 237*p - 167*p - 160*p + (4 - 3 - 3)*(-3*p + p + 4*p) + 0*p + 3*p - 7*p to the form z + v*p and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -5  (b) -0.2  (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 AM and 5:41 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t**2 + 0*t**2 - 2*t**2)*(-1 + 1 - 3*t + (-1 - 2 + 1)*(3 + 2*t - 3))*(-t + 2*t + t) to the form m*t**3 + u + v*t**2 + n*t**4 + z*t and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9123020?\nAnswer: 2, 5, 456151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 0.04, 653, 0.4, 2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32799199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 80*o**4 - 2266*o + 4716235 wrt o?\nAnswer: 320*o**3 - 2266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -5.1  (c) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-2) - 3 - (1 - -120). Calculate the common denominator of 8\/3 and 7\/(56\/u) - 2\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3328*o**2 + 7*o + 5 + o**3 - 1659*o**2 - 1661*o**2. Give d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*l - 9*l - 6*l)*(-1 + 6 - 3)*(-4*l + 19 - 19).\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1173 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6531752*w + 6560936*w - 13092686*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/44 + (-3)\/((-33)\/20). Sort -5, 81, q.\nAnswer: -5, q, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4378419195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 65671051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/97384 and -79\/8.\nAnswer: 97384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2436 and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azzzzzriz. Give prob of sequence ra.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/198 and 43\/6617736.\nAnswer: 72795096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -10. Let y be 46\/(-132) - (-10)\/55. Which is the nearest to 2\/3?  (a) -2  (b) y  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -11*d**2 - d + 15. Give y(3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, y: 2, d: 1, r: 10}. What is prob of sequence dyy?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*n**3 - 3*n**3 + 5*n**3)*(19 - 8 + 11)*(n + n - 4*n) as r + x*n**3 + b*n**2 + z*n + v*n**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-7)\/(-2) + 63\/(-28))*-4. What is the nearest to -50 in 2, 0, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**5 + 2*i**4 - 77*i**3*r + 12*i**2*r + 5*i**2 wrt i?\nAnswer: -120*i**2 + 48*i - 462*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-718 + 718 + 31*a**2)*(3 - 3*a**2 - 3).\nAnswer: -93*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, -24.428, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + (sqrt(44)*-4 + sqrt(44) - sqrt(44)) - sqrt(11)) + sqrt(11) + (sqrt(11) + -3)*6 + sqrt(275) + -1 + sqrt(55)\/sqrt(5)*-6.\nAnswer: -19 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 6*z**2 + z - 4. Calculate the remainder when 28 is divided by o(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 - -83. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -1941*f + 3870*f - 1928*f. Let m(b) = 212*b**2 + 248*b**2 + 7*b**2. Calculate m(p(x)).\nAnswer: 467*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -46\/5254163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-196)\/(-63) - (-4)\/(-36). Solve -3*r = h + 8, -r - 28 = j*r - 3*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1536 divide 3314688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -32d63?\nAnswer: 32d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 76*q**3 - 7*q**2 + 2*q - 4. Calculate p(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is ac55 - 676?\nAnswer: a5bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**7\/8820 + y**6\/1260 + y**4\/3 + 4*y. Let p(h) be the third derivative of n(h). Solve p(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 + 0)\/(-1) - -1. Let s be 7\/j*16\/(-28). Suppose s*k - 1 = 3. Solve -d - k = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 380 - 379.99991656. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/3)\/(1\/2). Suppose 4 = q*c - 4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -21*a**3\/2 - 17*a**2\/2 + 63*a. List the prime factors of q(-7).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*f**3*p**2 + 3*f**3 - 16*f**2*p**2 - 207*f*p**2 wrt f?\nAnswer: -12*f*p**2 + 18*f - 32*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -5*h + 613. Let i(j) be the second derivative of -j**3\/2 + 7445*j. What is i(w(g))?\nAnswer: 15*g - 1839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s + 6*s = -64. Suppose -4*i = -q + 7 + 1, -3 = -3*i + 3*q. Let o be 8\/2 + (-5 - i). Calculate the greatest common divisor of o and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -34, -54, -92, -154, -246, -374, -544, -762?\n\"Answer: -p**3 - 3*p**2 - 4*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 337 = 128. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-three eighths of a day?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 9 - 15 = 0. Let x(w) be the first derivative of w**2\/2 - 7*w + 2. Let b be x(l). Is 1\/6 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160058117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 10*y**2 + 1537*y - 100083. Give m(-203).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1994234299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6678 divided by 954?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t - 18. Let s be c(-18). Let w = s + 11. What is the second derivative of -4*y**3 - w*y**3 + 3*y**3 - 6*y - 7*y wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-101684)\/13866)\/(((-1)\/3)\/(33\/77)).\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*t - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {j: 2, g: 2, a: 1, e: 7}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k. Let z(u) be the third derivative of u**3\/3 + 3*u**2. Let f(b) = -b + 3. Let s(d) = 4*f(d) - 6*z(d). Calculate l(s(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/30)\/((-5)\/(-30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/32)*q**9*q**11*q**(-3\/2) assuming q is positive.\nAnswer: q**(591\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (69 + (-8 - -8))\/1. Suppose 14*n + 0*n = 2576. What is the greatest common factor of n and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 309*m - 283*m = 130. Solve 3*t - 15*b + 17*b = 5, m*t - 3 = 2*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2\/5, 68, -22.6 in ascending order.\nAnswer: -22.6, -2\/5, 8, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -77.5 - -78. Which is the second smallest value?  (a) d  (b) -2  (c) -13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-4\/3)*v*v*v**(-1\/8))**49)**(-12\/13) assuming v is positive.\nAnswer: v**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of -v**8\/6720 + v**7\/504 - v**4\/4 + 4*v. Let g(n) be the third derivative of h(n). What is g(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 845582.8ml in litres?\nAnswer: 845.5828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 + -10. Suppose -3*x + 0*x + 80 = h*z, -4*z + 5*x = -48. Solve -5*o + 2 - z = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3\/62 + -20\/93. Find the common denominator of -57\/7 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21823805 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6109\/7 - -873. Let z = -2.4 - -0.4. Which is the third smallest value?  (a) -0.03  (b) s  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*m = -1001, 4*r + m + 4024 = -m. Let h be r\/(-18) - 3\/(-18). Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 21. Suppose 5*p + 4*x = x + 7933, 5*x + 6376 = l*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 4*f - 7, 2*f + 2*t = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 2*q - 6. Let l be r(5). Let o(p) = p + 13. Let i be o(l). Suppose 0 = -4*b + 38 + i. Solve -5 = -2*m - b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*u + 612*u - 451*u + 196*u**3 + 47*u**3.\nAnswer: 243*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 21*t = -333 - 81 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 104 + 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*f - 87 + 89 - 168*f**2 + 11*f - 26*f as u*f**2 + y*f + h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 655\/3366 + 5\/153. Find the common denominator of 1539\/(-38)*(-22)\/(-88) and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-30)\/(-6) - (2 + -1). Suppose -d*b = -h - 55, 3*b - 4*b = 2*h - 16. Calculate the remainder when 54 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v**4 - 403856*v**3 - 2019681*v**2 + 25241*v + 126230 = 0. Calculate v.\nAnswer: -5, -1\/4, 1\/4, 25246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6064314 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.3, -1, -26, 308 in descending order.\nAnswer: 308, 3.3, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.6 + -7. Let n = -1.7 - i. Which is the smallest value?  (a) n  (b) 3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s + 12. Determine q(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -100013972 divided by -9?\nAnswer: 100013972\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-20)*-3*1088\/(-13328)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 4*v - s + 27, 0 = 3*v - 4*v + 3*s - 11 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -218 + 127. Let h = -65 + t. Let s = h - -231. Is 28 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-4 - (-84)\/20) - (-12)\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 670*q + 4554. Calculate w(-7).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -6\/17  (c) 46  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/607  (b) -8\/35  (c) -2  (d) -0.5  (e) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/3)\/(j**(-3\/5)\/j)*(j*j**(5\/4)*j)**(-20\/7))**(-1\/7) assuming j is positive.\nAnswer: j**(737\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*a**3*i**2 - 33*a**3*i + 11*a**3 - 161*a**2*i**3 - 9*a*i - 2*i**2 wrt i?\nAnswer: 34*a**3 - 966*a**2*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 747.2266 decades?\nAnswer: 7472.266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*o**2 + 2*o**2 + 3*o**2 + (-o + 3*o + 3*o)*(-29*o - 3*o + 10*o) to the form l*o**2 + f*o + x and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 2*s**2 - 4 + 0*s + 0*s + s**2 + (-3 + 1 + 0)*(4*s**2 - 4*s**2 + 2*s**2) - s**2 + 2 - 2 + 2*s + 2*s**2 - 2*s + 1 + 0*s**2 - 4*s - s**2 + 3*s.\nAnswer: -5*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 13 = i, -2*i + 14 = -0*o - o. Let b(z) = z**3 - 5*z**2 + 4. What is b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1525 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 118674475\nAnswer: -118674475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5444, 5445, 5446, 5447?\nAnswer: 5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**2 + 9*q - 4. Suppose -2*j + 8 = -0*j, 3*b = -4*j + 4. Let f be u(b). Let h = f + 150. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 17*p + 50*p)*(3 - 1 - 4)*(-391 - 17*p + 391).\nAnswer: 2278*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i - 6. Suppose -p = -3*f + 16, -f - 4*f + p = -30. Let o be s(f). Solve -2*q - o = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.032 + 502125695.\nAnswer: 502125695.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -12. Let q be 0*(2\/(-2) + 2). Suppose b - 43 + j = q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44825 - -25707. Let z = r - -516125\/27. Calculate the common denominator of z and 29\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o. Let f(w) = -8*w + 3. Let y(b) = -28*b + 8. Let r(n) = -n. Let t(g) = 3*r(g) - y(g). Let p(u) = 8*f(u) + 3*t(u). Give p(j(l)).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a8ac (base 13) in base 3?\nAnswer: -2122100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 282709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4928 = 1212*s - 2072 - 8756 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2990297371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 39*(-4)\/(-36) + -4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 - y**4 + 8 - 2*y**4 - y to the form d*y + s*y**4 + n*y**2 + j*y**3 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19299 - 4463. Let q = z - 10089. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of 2\/3*x**3 - 17\/30*x**5 - 1\/5*x**6 + 0 + 0*x - 1\/4*x**4 + 18*x**2. What is z in b(z) = 0?\nAnswer: -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + (-10 - 612\/(-54)). Which is the closest to -0.17?  (a) -0.1  (b) m  (c) 5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/44 - (-40832)\/(-1936)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 10:14 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -5*w**2 - 12708760*w = 0.\nAnswer: -2541752, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 159 = -41. Let x be (-20)\/p - (-1)\/(1\/25). Which is bigger: x or 22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c - c**4 - 5*c**4 + c - 4*c - 54 with respect to c.\nAnswer: -24*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7748 + -81?\nAnswer: 7667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 225601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -5*z - 13. Let v be k(9). Let d = v + 86. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 8:05 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49908, 108887, 167866, 226845, 285824, 344803?\nAnswer: 403782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - 8*i + 3. Let q be y(-7). Suppose -a - q = -3*a. Find the third derivative of 53*t**2 + 2*t**5 - 46*t**2 + 2*t**a wrt t.\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 11*v**2 + 7*v + 11. List the prime factors of k(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1059, 2080, 3091, 4086, 5059, 6004, 6915?\n\"Answer: -a**3 + a**2 + 1025*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29926091?\nAnswer: 13, 227, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1012840607, -2025681214, -3038521819, -4051362422, -5064203023, -6077043622?\n\"Answer: u**2 - 1012840610*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 11, 5, 4 in descending order.\nAnswer: 11, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-118)\/177)\/(34\/(-51))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p**2 + 7*p**2 - p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 45*x**2 - 88*x - 88. What is a(-43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 30\/(-2)*21\/(-105)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2415.8 to the nearest ten.\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - -13 - 12) + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - r. Let a be l(-1). Let h(o) = 106*o - 45*o - 43*o + 14. Let p be h(-1). Put p, -3, a in ascending order.\nAnswer: p, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 8 + 0*i + 1\/2*i**2 + 1\/6*i**3. Find y such that n(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 4977.046 centimeters?\nAnswer: 0.04977046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j + 1. Let s(o) = -o**2 - 5*o + 6. Let h(q) = 5*d(q) - s(q). Differentiate h(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/2, 9\/28, -75, 18\/11?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100624888 divided by -26819.\nAnswer: -3752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + 3*u**4 - 3*u)*(u + 0 + 0) + (-u + 5*u - 6*u)*(0*u**4 + 5*u**4 - 2*u**4) + 2*u**4 - 2*u**4 + 2*u**5.\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**5\/7 - 818507*k**4\/7 - 818505*k**3\/7 + 818507*k**2\/7 + 818506*k\/7 = 0. Calculate k.\nAnswer: -818506, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17268 by 1.\nAnswer: -17268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -74 + 27. Let v = u + 52. Let j(z) = 42*z - 44. Let a(k) = 28*k - 29. Let h(n) = v*j(n) - 8*a(n). Differentiate h(y) with respect to y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9062456 kilometers in meters?\nAnswer: 906.2456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2\/5 - 54068*a\/5 + 54048.\nAnswer: 4*(a - 13512)*(a - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56 and 2744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5968\/15 - -398. Which is the closest to -2\/3?  (a) 0.4  (b) -0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 - y + (-1902*y - 307*y + 1112*y)*(11 + 3 + 1) to the form j + l*y and give l.\nAnswer: -16456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001669412804 to 6 decimal places.\nAnswer: 0.001669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161187596.\nAnswer: 2, 389, 103591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -89*u**2 - 72*u**2 + 0 - 18*u**2 + 0 in the form r*u + o*u**2 + y and give o.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.3, -4, -0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000385769525 rounded to seven dps?\nAnswer: -0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-2))\/((-12)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -4. Let l(x) = -x**3 - 4*x**2 - 4*x - 6. List the prime factors of l(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 38 = z + 2*r, -z - 4*r + 30 = 0. Let q be ((-4)\/3)\/(-4)*(z - -2). Solve -3*l = -c - 2*c - 9, -q = 4*c - 2*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 223540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*h**2 - 1303*h**3 + 384*h**3 - 4*h**2 - 8*h**2.\nAnswer: -919*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -389.193 - 0.1573.\nAnswer: -389.3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2. Let s(a) be the second derivative of 191*a**3\/6 - a**2\/2 - 14*a - 20. What is s(k(x))?\nAnswer: 191*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(95) + sqrt(95) + 4*3*sqrt(95))\/((-3*sqrt(320) - sqrt(320)) + sqrt(320)))**2.\nAnswer: 931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73 + -81 + (3 - (1 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of 0*m**4 + 0 + 1\/20*m**5 + 0*m + 3*m**2 + 0*m**3 + 1\/105*m**7 + 0*m**6. What is the third derivative of z(j) wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2141243 (base 5) to base 2\nAnswer: -1001000011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 49 = n, -103 = 3*i - 3*n - 25. Let q = i - -63. Let x be 70\/q*(5 - 1). Solve 5*c + 8 = -x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - g = -30. Let r be (-10)\/(-15)*1*g. Suppose 0 = r*d - 1 - 3. Sort -4, d, 0.1 in decreasing order.\nAnswer: d, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16972738 divided by 2854?\nAnswer: -5947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81081 divided by 891.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (18 - 29 - (-3 - (-2 + 3) - 57))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2. Let y(l) = 10*l - 5. Let w(o) = -5*o + 5. Let s(i) = -1. Let j(h) = -2*s(h) - w(h). Let t(v) = -5*j(v) + 3*y(v). What is c(t(z))?\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -r**6\/40 - r**5\/30 - r**4\/24 + r**3\/6 - r**2. Suppose -155 - 276 + 329 = 51*d. Give z(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-45))\/(74\/(-111)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-1) - (-180)\/(-24))*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 2*d - 5. Let t be o(2). Suppose 5*g - 4*z + 45 = 0, -4*g + 10 = -3*g + t*z. Which is the third biggest value?  (a) 0.3  (b) 3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -13624043930 and -387?\nAnswer: 13624043543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1524 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9)\/(-6) + -1)*-562. Let a = s - -283. Solve 0 = b - 3*y - 2 + 13, -a*y = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(162) + 1 + (sqrt(2) - (2 + sqrt(98) - sqrt(98))).\nAnswer: -6 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-15)\/u**13*(u*u\/(u\/u**(-2)))**27)**12 assuming u is positive.\nAnswer: u**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 - g**2 + 2*g + 2. Let n(q) = 2*q + 2. Let m be n(-2). Let h be w(m). Let b be h\/3 - (-34)\/(-6). Sort -1, -2\/7, b in descending order.\nAnswer: -2\/7, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*n - 13148 = 21*n. Suppose -2*m + 4*z + 68 = -570, 2*z = 0. Let f = n - m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(11\/2))\/((z\/z**(-31))\/z))**50 assuming z is positive.\nAnswer: z**(-1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 162007389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-10)\/z)\/(z**(-8)*z))\/(z*z*z**(1\/3))**(-2\/45) assuming z is positive.\nAnswer: z**(-526\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nsssassasssassss. Give prob of picking 2 a, 1 s, and 1 n.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (n**2 - 3*n**2 - 7*n**2)*(-660*n - 519*n + 994*n) as p*n**2 + j*n**3 + z + i*n and give j.\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - 5*a**2 - 5*a + 6. Let b be y(-6). What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of -j**6\/6 + j**3\/2 + j + 5. Let v(b) be the first derivative of q(b). Find the second derivative of v(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198163?\nAnswer: 7, 28309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, -230, -2 in decreasing order.\nAnswer: 4, -1, -2, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3.0918933 times 0.2\nAnswer: 0.61837866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2636552 - 44?\nAnswer: 2636506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 15, 36, 55, 66, 63?\n\"Answer: -n**3 + 5*n**2 + 13*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57433.79 - -7935251.\nAnswer: 7877817.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3184*g**4 + 80406?\nAnswer: 12736*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9704282 divided by 1386326.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 200, 198, 196, 194, 192?\n\"Answer: -2*c + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4541801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -138068 + 291625. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9 + 4\/(4\/(-1)). Suppose 1120 = u*h - h. What are the prime factors of (6\/(-5))\/((-4)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -764833 divided by -24?\nAnswer: 764833\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 7587514?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1337, -10856, -36745, -87188, -170369?\n\"Answer: -1364*f**3 - f**2 + 32*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (498\/2241)\/(9\/((-2916)\/(-8))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 647612 rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14844887 and 669.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210113 (base 5) in base 2?\nAnswer: 101100000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5312\/(-10080) - 6\/135.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1053.45463 rounded to the nearest ten?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-191)\/((1 - 2) + 2). Let y = -296 - g. Let i = y + 352. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (51\/(-5) + (-2)\/(-10))*-1. What is the greatest common factor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 13 + -72 + 34.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 130 divided by -65\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + i + 2)*(0 + i + 0) - 1 + i**2 + 1 + 12*i**2 + 15*i**2 - 26*i**2 + i**2 + 5*i**2 - 4*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 13, l: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*((-6)\/8 + 50\/24). Let q(l) = -55*l + k + 58*l - 4. Let g(c) be the third derivative of -2*c**5\/15 - 7*c**2. Give g(q(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/18)\/(-1) + (-743)\/(-6). Let k = n + -124. Let v(t) = 10*t + 1. Let i be v(k). Solve -l - 3 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 - 3*b**2 + 3*b + 198. Let s be z(0). Suppose 105 = s*k - 193*k. What is the lowest common multiple of k and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3214 (base 5) to base 3.\nAnswer: 121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 4*v + 20. Calculate g(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of s**7\/210 + 2*s**6\/75 + s**5\/25 - s**4\/30 - s**3\/6 - s**2\/5 + 12*s. Factor q(l).\nAnswer: (l - 1)*(l + 1)**3*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 8) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*((t*t*(t\/t**(-3\/7))\/t)\/t)\/t*t)**(2\/3)*t\/(t**(-2\/55)\/t)*t**(-17) assuming t is positive.\nAnswer: t**(-15413\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*t - 20 + 20 - 2*t**2)*(1 - 7 + 1) in the form s + p*t**2 + x*t and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 - -2.714191964\nAnswer: 2.654191964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -7*z + z. Let t = 13.11 + -13.21. Let f be (-1 + -1)\/(-2)*-1. What is the closest to t in f, z, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.4 + -1.49. Let m = o + 2.09. Let v = -2.3 + m. Put v, 0.2, 1 in increasing order.\nAnswer: v, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = p + 4, 3*p - 4 + 6 = y. Suppose 2 + 8 = -y*t. Put t, -1, -4 in descending order.\nAnswer: -1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*h**2 - 3*h**3 - 4*h**2)*(1 + h - 1) + 6*h**4 - 6*h**4 + 5*h**4)*(-3*h + 4*h + 0*h).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/2 and ((-1806)\/1476 + 4\/3)*2.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*b - 33*b + 3*t + 45 = 0, 3*b - t - 27 = 0. Suppose -4*s = 4*i - 48, 0*i + 5*i - s = 66. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s + 193 = 351 + 178 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 = 2*v - 3*c, 2*v - 63229*c + 63224*c = -99 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -11849 + 31308 - 527 = 1597*d - 22590. Let r(p) = -2*p**3 - 6*p**2 - p + 2. Let h be r(-4). Solve -d = 4*i - h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -49  (b) -0.025  (c) -2  (d) -1\/3  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.886 - 1.02. Let k = 0.13297 + j. Round k to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - 3 - (-2 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -20*l + 3. Let q be (3\/8)\/((-1029)\/(-10976)). Let a(o) = -7*o + 1. Let n(y) = 7*y - 1. Let g(c) = -4*a(c) - 5*n(c). Determine q*i(f) - 11*g(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -68216, 3, -4, -18 in ascending order.\nAnswer: -68216, -18, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) -6  (c) -122  (d) 1166  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 2*g = 5*c - 10, -3*g = -3*c + 30. Suppose -2 = -c*w + 16. Let s(f) = -f**3 + 5*f**2 - f - 5. Calculate the remainder when 27 is divided by s(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9668*r = -9944*r + 5796 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, r: 2, p: 9}. Give prob of picking 2 r and 2 s.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 926012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**2 - 24*p - 18. Let x be i(-11). Let u = -59 - -53. Let m be (-2)\/u*3 + (-3)\/5. What is the closest to 4 in 0.1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -537325*f**2 + 288497*f wrt f.\nAnswer: -1074650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 184828\/(-9758) - 171\/(-9)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuauuaauuuaaauuuuu. Give prob of picking 1 u and 3 a.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.03, -36.1, 1, 0.3, 5 in descending order.\nAnswer: 5, 2, 1, 0.3, 0.03, -36.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2796 divided by 6\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 8*w**2 - 9*w + 15. Let y(c) = 3*c**2 - 3*c + 5. Let b(l) = -4*m(l) + 11*y(l). Suppose 7 = 3*t + 25. Determine b(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of b**3\/6 + b**2 + 3*b. Let l be m(-1). What is the greatest common divisor of 8 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 66291, 66228, 66141, 66024, 65871?\n\"Answer: -l**3 - 6*l**2 - 38*l + 66336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddddddddrdddddddd. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**3 + 9*c**2 + 7*c - 13. Let a be o(5). Calculate the remainder when 455 is divided by 2\/a - (-4 + (-966)\/18).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2584815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92513.\nAnswer: 71, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*d**4 - 117*d**2 + 1?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {v: 7, c: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 133263 by -153.\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 50 = 7*g. Let y(u) = -u**3 - 9*u**2 + 7*u - 8. Is y(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*s + 12*s - s**3 + 0*s + 7*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 6, a: 5, y: 1, s: 1, r: 6}. What is prob of picking 2 a?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/33681 and -28\/352615.\nAnswer: 108958035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 + 22*o**2 - 20*o - 19. Does 4 divide d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 = 13412\/1101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 97 + -97. Suppose -13*g + 4*g + 18 = p. Let n = -218\/9 + 24. What is the nearest to 1 in n, 2\/11, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in 0.1, 0.2, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 2:07 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4206926.\nAnswer: 2, 61, 34483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 43588010491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6400 and 720.\nAnswer: 57600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = 3*t - 3*j, -5*t + 9*j + 149 = 8*j. Suppose 3*n = 3*w - 906, w + 0*n = 2*n + 307. What is the remainder when w is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.46347 and 2.\nAnswer: 2.46347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 9050 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/((sqrt(84)\/sqrt(3))\/sqrt(7) + sqrt(4))*-1 + sqrt(15)\/(-6*sqrt(75)) + 3.\nAnswer: -8*sqrt(5)\/15 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 1:24 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1034 or 1032?\nAnswer: 1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 + 1. Let x(c) = 8*c**3 + 4*c**2 + 13*c - 4. Let g(f) = -x(f) - 4*y(f). Find the second derivative of g(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -98*d**3 - 24903802*d**2 + 14230768*d - 2032968.\nAnswer: -2*(d + 254121)*(7*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 - 930*r + 930*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 31178617819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.0506, 2\/3, 1022, 1\/3 in descending order.\nAnswer: 1022, 3, 2\/3, 1\/3, 0.0506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - b)*(-5 - 3 + 4) + 5*b - 5*b + b - 1 + (-4*b + b + 4*b)*(-6 + 2 + 2) - 2 + b + 2 - 6*b + 3 - 3 to n + s*b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 763.4983148 to the nearest 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 7  (c) 0.3  (d) 2132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -19*a**2 - 17*a - 6. Let y(u) = 5*u**2 - u + 1. Determine o(d) + 4*y(d).\nAnswer: d**2 - 21*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-222 + 222 + 84*p)*(-p + p - p - 2 + 2*p + 2 - p - 3 + 3 + 0*p - 2*p + 0*p + (4 - 3 - 2)*(2*p + 2*p - 3*p) + 2*p + p - 2*p) + 3*p**2 - 3*p**2 + 3*p**2.\nAnswer: -165*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 177 a factor of 107262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) + -5*-1*sqrt(88))\/(sqrt(88)\/(sqrt(33)\/sqrt(3)) + sqrt(8)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22911 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1802\/(-4)*(-219)\/(748323\/(-402))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*n**2 - 17*n**2 - 20*n**2 - 26*n**3 + 28*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-21)*(2604\/(-1134) - 28\/756)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3762452899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3734*h. Let d(t) = 82*t. Calculate g(d(p)).\nAnswer: 306188*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1416 and 118.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 10:37 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 47*i. Let b(c) = 2*c + 200. Give b(n(j)).\nAnswer: 94*j + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30477*l + 2 - 15243*l - 15234*l - 11967*l**2 - 2)*(0 + l**3 + 0).\nAnswer: -11967*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -8532*n - 1512. Let l(z) = 113*z + 20. Let j(d) = 5*c(d) + 378*l(d). Let t(v) = 6*v - 5*v + 0*v. Calculate j(t(y)).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*i + 118*i + 108210000 = 0. What is i rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2))**(-27)\/(l**(2\/35)*(l**4\/l)\/l) assuming l is positive.\nAnswer: l**(1818\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -195.1 * -0.3\nAnswer: 58.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 422 + 24d8a?\nAnswer: 252ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-56)\/(-8) - (6 - 2 - 4). Suppose -f*q + 3*q = -2*h - 46, -4*h - 40 = -4*q. What is the closest to 1 in -0.5, q, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 3*f - 4 = 0. What is the first derivative of 199 - f*z**2 - 7*z - 153 + 17*z wrt z?\nAnswer: -4*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 354 - 644. Let r = 322 + g. What is the greatest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 13, t: 5}. Give prob of picking 2 t.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -35. Let f = -2 + 6. Suppose 95 = f*j - 5*p, -2*j + p + 45 = 2. What is the remainder when j is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11685302 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 0*w + 2*w - 4 - 3. Let c be i(8). Let h be c\/(1\/10*3). Calculate the greatest common divisor of 12 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from smmmmmsmssmssssmsms.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12118 + -12121. What is the second smallest value in 1\/4, 2, x, -535?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -218 + 222. Find q such that -6 - q**2 - 10*q + 9*q - i*q = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.09 and 0.37.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12573 + -12569. Suppose -5*s + 5 = -4*s. What is the derivative of s + l + 2 - 16*k + 1 wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 2490.\nAnswer: 27390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -6*t. Suppose -6*l + 183 + 111 = t. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3418.063952 rounded to the nearest ten?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*z, -x + z + 4*z - 11 = 0. Suppose j = 3 - 1. Suppose -5*s + 28 = -t, -4 = -x*t + j*t. Solve s*c - 2*c = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101111 (base 2) in base 8?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 0\/(-3) - -18. Let t = -7 + i. Let b = 32106 - 31898. What is the highest common divisor of b and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3*1*4\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 5*s**2 + 7*s + 11. What is the units digit of b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g*(g*g**3\/g)\/g))\/(g*g**(-6)))**(-32) assuming g is positive.\nAnswer: g**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w**(1\/15)*w)\/w))\/w*w*(w*w**(-8))\/w)\/(w**(2\/7))**9 assuming w is positive.\nAnswer: w**(-1012\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/(-5))\/((-6)\/15). Suppose 0*t = 4*t. Suppose -7 = -x + 5*n, -5*x + 2*n + 3*n + 15 = t. Solve -13 = 5*y + x*s, -3*s = y - s + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-72)*-78 + -2*(-7)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -413*x - 318*x + 4 - 6 + 3 - 1.\nAnswer: -731*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -25*y + 1\/4*y**4 - 3*y**2 - 20 + 7\/3*y**3. Calculate the remainder when 186 is divided by g(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 24*g**2 + 9*g + 9. Let z be c(-5). Calculate the common denominator of z\/(-16)*3\/18 and -33\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79512061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*r**3 + 81*r**3 - 132*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37 - -37. Which is greater: j or -3\/28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7287 or 5822?\nAnswer: 7287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-1\/5))\/p**(2\/3))\/(p\/p**0)**(-2\/7))\/(p**6\/(p\/((p\/p**(-2))\/p)))**9 assuming p is positive.\nAnswer: p**(-6571\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*c + 140 + 21 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/33 and 155\/1482.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5737872416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 12, -3*w + 41 + 3 = 5*a. Calculate the highest common divisor of w and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 142*f*q**3 - 24*f*q**2 + f*q wrt q.\nAnswer: 852*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 80\/(-15)*(-4 + 1). Let o(k) = d*k**2 - 7*k**2 - 7*k**2. Let z(t) be the third derivative of -t**4\/8 - 10*t**2. Give z(o(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 3 + 6*r**2 - r**2 - 6*r**2 - 6*r as o + h*r**2 + i*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*x + 3*x**4 + 0*x**3 + x**3 - 25*x - 19*x - 1 to c*x + f*x**4 + j*x**2 + t*x**3 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o. Let z(g) = -76*g**2 - 4092*g + 2. Calculate u(z(n)).\nAnswer: 152*n**2 + 8184*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37613, 75227, 112841, 150455, 188069?\nAnswer: 225683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/2*(-4)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/16)*n*n*n*n**22*n*(n**(-9))**42 assuming n is positive.\nAnswer: n**(-5631\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 n when three letters picked without replacement from {q: 4, n: 4, w: 6, c: 1}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 29832999*s**2 - 36627230?\nAnswer: 59665998*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 47, 96, 147, 200, 255, 312?\n\"Answer: o**2 + 46*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 73\/4*v - 73\/4*v**3 + 231\/2 - 461\/4*v**2 - 1\/4*v**4 = 0. Calculate v.\nAnswer: -66, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3238 + -193. Suppose 5*f - v = -x - 869, -f + 440 = -x. What are the prime factors of f?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 5\/2, 4, -1\/28, 18\/5?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(2688))\/(sqrt(6) - (sqrt(96)*1 - sqrt(6))) + (sqrt(49)\/(sqrt(21)\/sqrt(3)))**2 + -4*sqrt(7)*-2 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 7*h - 10. Suppose -36 = 2*b + 2*b. Let o be l(b). Let s(k) = -4*k. Let u be s(-2). What is the highest common divisor of o and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2964, 2820, 2676, 2532, 2388?\nAnswer: 2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 797 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15  (b) 0.0572  (c) -4\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) -65  (c) 2436  (d) 6  (e) -5  (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5023\/75 - 9\/25. Let z = p - -224\/3. Find the common denominator of z and (140\/(-88) + 2)*-4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 + 7849194*o.\nAnswer: 2*o*(o + 3924597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -n**4\/12 + n**3\/6 + n**2 + 5*n + 2. Let f(o) be the first derivative of l(o). What is f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -554 or -3805?\nAnswer: -3805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000611 to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 331 + -327. Which is the biggest value?  (a) -0.2  (b) 8  (c) 0.5  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 105240646 + 3?\nAnswer: 105240652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -191 + 119.7. Let u = p + -13.7. Let j = u + 85.00000039. What is j rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/1548016 and 23\/13545140.\nAnswer: 54180560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 80 = 2*l + 34, -4*l = -5*c + 25. Let u(p) = 2*p**2 - 18*p + 21. Determine u(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 354497 and 53238042?\nAnswer: 5291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 12*n**2 - 3*n + 3. Let s be l(2). Let p = -276 + 270. Is 30\/s - 758\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17.9 - 0.5\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 5, 86, 0.2, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.8 + 5. Let y = -0.3 + 0.2. Let k = -1.1 + 0.1. Which is the third smallest value?  (a) k  (b) q  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**2 - 133*p**3 + 0*p**2 + 136*p**3 + (-1 + 1 + 3)*(-1480*p + 1480*p - 38*p**3).\nAnswer: -111*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 56 = 5*j, 5*j = 2*j. Let i be ((-56)\/49 + 4\/p)*-56. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43\/15 + -8\/3. What is the third smallest value in -1\/7, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l. Suppose -3*r - 3 = -18. Suppose r*j + 0*j = 0. Let v(s) = -4*s + 3*s + j*s. Calculate w(v(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -658*v - 2290 = -659*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 - -1) + 52 - -43.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -206901\/67 - -3088. Let b = j - -159\/335. Let l = 154\/5 + -31. Sort b, 0.1, l in descending order.\nAnswer: b, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432903276 to the power of 1\/2, to the nearest integer?\nAnswer: 20806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 4:32 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 1 - 3)*(-2*b - 2*b - 2*b) - b + 4 - 4 + (-3 - 2 + 3)*(2*b + b - 5*b) in the form t*b + u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1647 (base 9) in base 15?\nAnswer: 58d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - q**2 + 15*q + 6. Give f(5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 8 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6547093 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - (-10 + 11 + 0 + -19 + 56 + -60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -3*g + 8. Suppose -4 = -g*l + 2. Let a be (27 - 2)\/(l\/10680). Round a to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/98616465 and -119\/90.\nAnswer: 197232930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjyygygygjjjjyj. What is prob of picking 4 j?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -4, -181643, 3 in descending order.\nAnswer: 13, 3, -4, -181643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 340 is divided by 18252\/728 - 2\/28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t + 2. Let i be z(-2). Suppose -2 = -5*k + 2*g - i*g, 2*k - g = 0. Suppose 0 = -k*y + 2*b + 40, -y + 5*b + 77 = 3*y. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -126.737 rounded to zero dps?\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 298630 is divided by 91?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 2*z**4\/5 + 234*z**3\/5 + 5094*z**2\/5 - 21346*z + 20280 = 0.\nAnswer: -65, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(560) - sqrt(560))*-1)\/(sqrt(110)\/(sqrt(22)\/sqrt(2))))\/(5*sqrt(392)*-1*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 54*q - 2 - 49*q + 40*q + 61*q - 2*q**3 to h + v*q**3 + g*q**2 + x*q and give x.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of f**9\/45360 + f**8\/20160 - f**7\/7560 - f**6\/2160 + f**4\/24 - f**2. Let h(g) be the second derivative of b(g). Factor h(d).\nAnswer: d*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -835.471?\nAnswer: 837.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10, 2, -0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2969283629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -125, -4, -114, 4 in decreasing order.\nAnswer: 4, -4, -114, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -19, -30, -43?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44653219 is divided by 4088?\nAnswer: 4083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (243\/2)\/((15\/(-2))\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 5, 0.4, -0.22 in decreasing order.\nAnswer: 5, 0.4, 0.3, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 2*d - 0*d. What are the prime factors of 2\/(-1) + d + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/((-12)\/3))\/(((-288)\/1344)\/((-27)\/(-21))).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1536263?\nAnswer: 1536263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + t = 0. Suppose -u + 4 + t = 0. Factor -2*l**4 - u*l**5 + l - 3*l**5 + 6*l**5 + 2*l**2.\nAnswer: -l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -29*k**7\/35 + 27*k**5\/10 + 168*k**2. Find the third derivative of t(d) wrt d.\nAnswer: -4176*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1463.1 to the nearest 10.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6 + (-2 - (2 - 4)). Let t = g + 4. Is t >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 + 148500\/1242 + -82?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/21 and -94\/75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -4*i + 25, -i + 2 + 0 = 3*m. Suppose -i*n - 2*p + 48 = 0, -n = -2*n - 2*p + 8. Suppose n = 3*v - 50. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + 5*sqrt(77)*2 + sqrt(77))\/sqrt(7) + 4 + (sqrt(11) - (sqrt(11) + 1 + (sqrt(11) + sqrt(176) - sqrt(11))**2)).\nAnswer: -173 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x**2 + 15*x**2 - 5*x**2 - 8*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16\/(-264))\/((-54)\/99). Let z be ((-736)\/(-180) - 4)\/((-2)\/(-5)). Factor -z*s**3 + 0 - 1\/9*s**2 + v*s**4 + 2\/9*s.\nAnswer: s*(s - 2)*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 12. Suppose -f*z - z = 2*h + 10, 5*h + 5*z = -5. Suppose 5*a - 5 = -0*a + 4*n, -h*a + 5 = -2*n. Let k(q) = q**2 - 3*q - 5. Determine k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61726 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 124317 divided by -3?\nAnswer: -41439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 10*n - 23. Let p be k(7). Let q be (-3)\/((-18)\/4) + 0. Which is the closest to 1?  (a) p  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3)\/(m\/(m*m*m**3)))\/(((m*m**(-6\/11)*m)\/m)\/(m**6\/m)) assuming m is positive.\nAnswer: m**(61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 11 + 197 = 0. Suppose -14 = 4*v + 5*j - 92, 3*v + 2*j - s = 0. Calculate the greatest common divisor of 187 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = h - 22*c, -5*c = 2*h - 11 + 58 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.19 + 1115.81. Let m = 1110.31 - x. Let s = -0.31 + m. Which is smaller: s or -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1299*k - 220291 = -1472*k + 273*k + 41999 for k.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**6)\/p**(-1\/3))\/(p**(5\/6)\/(p*p*(p*p*p**6)\/p*p*p)) assuming p is positive.\nAnswer: p**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8302757?\nAnswer: 937, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25302724, 25302733, 25302750, 25302781, 25302832, 25302909, 25303018, 25303165?\nAnswer: 25303356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1235597160 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1.848977 weeks?\nAnswer: 1118261289.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64612213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 161717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 887712 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*h + 44*h - 4*k + 11 = 0, 18*k - 57 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14267813 * 0.04.\nAnswer: 570712.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -733 + 733. Let b = -110 + 77. What is the second biggest value in 2, b, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from qaqbcqjqa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, g: 5, k: 7, q: 6}. What is prob of picking 2 k, 1 r, and 1 g?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*l + 3*l - 2 + 5*l)*(2*l + 2*l - 7*l).\nAnswer: -3*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -85*h**2*w**4 - h**2*w - 2*w**4 - 136 wrt w?\nAnswer: -1020*h**2*w**2 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -58, -4, 80 in descending order.\nAnswer: 80, 3, 2, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 44*y + 426. Suppose -3*h - 2 = -14. Suppose -65 = -h*q - 5. Calculate the remainder when c(-8) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 14*h + 1. Let c be w(-14). Let b(j) = -6*j**2 + 12*j + 34. Let f(v) = -v**2 - v + 2. Let r(a) = c*b(a) - 8*f(a). Factor r(p).\nAnswer: 2*(p + 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4750 and 1330.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 4.3.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 8:02 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, l: 3, z: 1}. Give prob of sequence zq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1835 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((14 - 19 - 29)*(-3*j**2 - 4*j**2 + 5*j**2) + 0*j**2 + j**2 + j**2 + (-2*j + 3*j - 3*j)*(-j - 2 + 2))*(3*j**2 - 2 + 2).\nAnswer: 216*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-0.028\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -4*r**2 - 4 + 3*r**3 + 4*r - 4*r**3 + 1. Let z(n) = 6*n + 1. Let j be z(-1). Let q be m(j). Let u(x) = 2*x**3 - 3*x**2 - x + 2. Give u(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52 - -73. Let f be (c\/2)\/((-5)\/(-10)). Let o = f + -4. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (0 + 9 + (-364 - -364)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.478*0.15.\nAnswer: -1.1217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 20*c = 0. Let m = 26 + -9. Suppose -2*y + m + 5 = c. Solve -3*q - y = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (0 - 7 - (13 - 14)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2755 + 6340 = 506*a - 6535 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 259 and 5803931.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 2*t = 77. Suppose 5*y + 0*l - 35 = -2*l, -3*l = 4*y - 21. Let w = y - t. Let m(o) = o**2 + 2*o + 2. Determine m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.043 + -0.012. Let u = 0.555 + a. What is the biggest value in u, 2\/7, -0.4, -3\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 2, -171, -367.\nAnswer: -367, -171, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/8*3 - (104\/(-12))\/((-8)\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y**3 - 16*y**2 - 17*y + 109. Let q be f(5). Which is the smallest value?  (a) q  (b) 1\/63  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-540)\/(-21) - (-12)\/42 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 2 = 4*u - 18, -3*r + 5*u - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11101 (base 2) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71094 by 1734.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-114)\/152)\/(-1*3\/(-10))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, b: 13}. What is prob of picking 2 b?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + 2\/1 - (-240)\/2280. Which is the third smallest value?  (a) x  (b) 2\/7  (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 96133 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (214\/6)\/(-7 - 344\/(-48)).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 0) + 5 - (5 - 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 597615 at least as big as 597614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.06 - -0.64. Let l = j + -0.4. Let n be (3 - 5)\/6 - 39\/(-36). Which is the closest to 6?  (a) 3\/5  (b) n  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*c + 10*c**2 - 7*c - 2*c**2 - 4*c**2 + c**2 + (-1 - 2*c + 1)*(2*c + 3*c - 3*c) to the form o*c + y*c**2 + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 22 - 6. Let k be (-5)\/(-10)*d\/9. Solve 2\/9*i**3 - k*i + 2\/9*i**2 - 2\/9 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -412016, -823926, -1235836?\n\"Answer: -411910*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 + -336\/11. Which is the nearest to -1?  (a) -1\/8  (b) -0.2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 205848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -154910 to the nearest 1000.\nAnswer: -155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*o + o**4 + 0*o)*(-2 + 2 - o) + 0*o**5 + 5*o**5 + 0*o**5 + 2*o**5 + 4*o**2 - 4*o**2)*(-4 - 42 - 69).\nAnswer: -690*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, 0.01, -2.133, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 3, o: 3, b: 4, u: 6, z: 2, v: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7341437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 9*j**2 - 7*j**2 + 25*j - 97 - 10*j. Let l be b(-20). Solve -3*n - 4*p = -17, 5*n - 14 = -l*p - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*((-180)\/(-25) - 1)\/((-1)\/2). Solve 12 = -t*o + 66*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -62*t - 3. Let w(u) be the third derivative of 455*u**4\/8 + 65*u**3\/6 - 7304*u**2. Determine 65*m(s) + 3*w(s).\nAnswer: 65*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -11*p**3 + 5*p + 2. Let y(v) = -5*v**3 - 2*v + 4*v + 0*v + 1. Let a be 4\/10 - (-336)\/(-140). What is a*o(s) + 5*y(s)?\nAnswer: -3*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52 + 11 - z + 18 + 36.\nAnswer: -z + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19486586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 + -10. Let h(j) = -j**2 - 5*j + s + 6*j + 5*j. Is h(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12\/131 - -12683\/262. Find the common denominator of ((-32)\/30)\/((-6)\/9) and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + n - 4. Let l be h(-3). Suppose 86 = o + 4*j, 4*o + j - 165 = l*o. Suppose 5*t - 2*f = o, t - 13 = -5*f - 2. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/48 and -31\/15786904.\nAnswer: 94721424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 i, and 1 w when three letters picked without replacement from wnlnnnlnnwannilna?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -45 + 522 + 42 - 569*o**4 wrt o.\nAnswer: -2276*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -7*r**3 - 7*r**2 + 5. Let x(w) = 0 - 3 - 3 + 4*w**2 + 3 + 4*w**3. Determine 3*g(z) + 5*x(z).\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162555 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**8*x\/x**(-18\/5)*x assuming x is positive.\nAnswer: x**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(3*(-1 + sqrt(847)) + -5*(sqrt(847) - (3 + sqrt(847))))*-5)**2.\nAnswer: 79200*sqrt(7) + 776700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v**(-10\/9)))\/(v**21\/v))\/(v\/(v*(((v\/(v**(-3\/5)*v))\/v)\/v)\/v*v))**(-25\/2) assuming v is positive.\nAnswer: v**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 13, -2, -1 in ascending order.\nAnswer: -2, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 take away 86190.177?\nAnswer: -86185.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*a + 6*d - 4*d, 0 = 5*a - 4*d - 8. Suppose -3*o = -3*h + o + 53, -a*h + o + 49 = 0. Suppose n - 3*i - h = 0, 0*n - 4*i = -n + 10. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 4*k - 1. Calculate v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 55 - 39. Suppose d - 4*c = 2*d + t, 0 = 2*d - 3*c - 12. Suppose 2*w - 2*g = d, -3*g + 1 = 4*w - 20. Solve 1 = w*n - 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 650995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 63*w - 33*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46\/13 + -808\/221. Which is the closest to 2?  (a) 3  (b) 1\/3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + f - 1)*(-12*f**2 + 25*f**2 - 6*f**4 - 12*f**2).\nAnswer: -6*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*0\/2)\/((-183)\/(-61))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000508 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z + 26 = -7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 4:48 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**2)**(1\/34))**(5\/4))**(2\/33) assuming r is positive.\nAnswer: r**(5\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 3 = 6. Suppose -3*n = -3*o + 12, -5*n + 3*o - 18 = -o. Let q(b) = 3*b + 4. Let u(k) = 4*k + 5. Give g*q(j) + n*u(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -94 + 101 - (14 - -17)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/10  (b) 10\/13  (c) -1  (d) 25  (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) 3  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -8. Let o = t + 4.9. Let f = -0.099993 - o. What is f rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence chch when four letters picked without replacement from hchhchhhhchh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**2 + 3*y**2 - 4*y**2)*(-2*y**2 + 4*y**2 - 3*y**2) + 35*y**4 - 8*y**2 + 82*y**4 + 7*y**2 + (2*y - 2*y - 3*y**2)*(13 - 12*y**2 - 13).\nAnswer: 150*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 3*v - 4*v)*(-8 + 8 + 5*v**2) - 3*v**2 + 3*v**2 + 74*v**3 + 167056 - 167051.\nAnswer: 79*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 14 + 4)*(3*l + 5*l - l).\nAnswer: 266*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -258, -516, -774, -1032, -1290?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72922?\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + j - 2*z - 7 = 0, -3*j + 4*z - 7 = 0. Let a(l) = 368*l - 2. What is the tens digit of a(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02207 + 0.17793. What is the fifth smallest value in 3\/4, -0.5, w, -7, -2\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 2\/21, 33.9 in decreasing order.\nAnswer: 33.9, 2\/21, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(432)*5.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3*w + 2. Suppose -11 = 3*r - 2. Let g = 0 + r. Let o(i) = -4*i - 2. Let p(y) = g*t(y) - 2*o(y). Differentiate p(m) with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 15*i**2 + 3. Let j be l(-15). Calculate the highest common divisor of j and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, b: 2, k: 3}. Give prob of sequence bcb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d - 3060*j + 3057*j - 15, -3*j = -4*d + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(5 + sqrt(1700) + sqrt(1700) + -1 + 0 + -2 + (2 + sqrt(1088) - sqrt(1088))))**2.\nAnswer: 2560*sqrt(17) + 109056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + 6*1*sqrt(18)*2 + 2 + 0 + sqrt(54)\/sqrt(3).\nAnswer: 4 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10\/7*m**3 + 0*m + 4\/7*m**5 + 0 - 6\/7*m**4 + 12\/7*m**2 = 0. Calculate m.\nAnswer: -3\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**3\/6 + 13*w - 1. Let a(v) = 3*v**2 - v. Determine m(a(o)).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-14 + 1 - -7) + -21?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -171984*m**2 + 3384*m + 28?\nAnswer: -343968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 19*x**2. Let g(k) = 12*k**2 + 27. Calculate g(w(y)).\nAnswer: 4332*y**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -63 + 67. Suppose 0 = 2*h - 3*h - 3*a + 6, -m*a = -h + 20. Calculate the remainder when h is divided by (-2)\/4 - 33\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 880 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5378679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 39\/117*-1*9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 - 7*d**2 - d + 5. Calculate u(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 30 = 3*j, -j + 0 = 4*o + 1. What is the remainder when 43 is divided by (2*j)\/(24\/24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 83537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m + m - m)*(0 + 1 + 1) + 3*m - 6*m + 4*m - 5*m + 2*m + 0*m + 2 + m - 2 + (-3 + 2 + 0)*(102*m + 19*m - 32*m) to f*m + w and give f.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 97.2 + -97. Let w = -3 + 3.1. What is the closest to 2 in 0, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-640)\/30)\/16*(-51)\/(-34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + -102489987220.\nAnswer: -102489987215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5\/23 + 121\/345. Let n = -3\/706963 + 5655713\/2120889. Factor n*v + m*v**2 + 40\/3.\nAnswer: 2*(v + 10)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (28\/(-84)*(-63)\/(-14))\/((-42)\/4). Which is the closest to s?  (a) 2  (b) 1\/5  (c) 3  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1296650*y**2 - 170859*y - 1?\nAnswer: -2593300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rttt when four letters picked without replacement from {r: 2, x: 2, t: 6, f: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 - 5. Let x = 7 - t. Suppose 4*m - 20 = -2*f, x = 2*m - 5*m - 3*f + 21. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 0) + (0 - 1) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 1:38 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-344)\/(-172)*(-19)\/2774?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2277302.4 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*s - 17*s - 55*s.\nAnswer: -83*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/4)\/(2\/(-8)). What is the units digit of (-4)\/(-6)*9\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 108*1 - (-6 - -4). Let i = -105 + k. Suppose 3*x - 16 = -i*j + 57, 2*j - 4*x - 24 = 0. Are 0 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -28 - 2*l**4 + 60 - 33 - 4*l**3 - 6*l as f + o*l**2 + n*l**4 + w*l + b*l**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 + 2590344*i + 2590343.\nAnswer: (i + 1)*(i + 2590343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.240879 millennia in years?\nAnswer: 2240.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*t + 5 - 3)*(-2 - 2 + 2)*(-3 + 5 - 4).\nAnswer: 8*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 9) to base 4\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-67)\/5)\/(-5 + -2) and 17\/((-765)\/(-36))*(-5)\/20 + 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3616 by -8.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(1*sqrt(65)*3 + 1*sqrt(65)*5 + sqrt(65)))\/(-2*sqrt(405)*-2*-2).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m**2. Suppose y = -3*h + 8, -2*h - 2*h + 36 = -5*y. Suppose 2*l + 2 = h. Let g(k) = -3 - 2*k + 2 + l. Determine g(x(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(77) + sqrt(77) + sqrt(77) + (sqrt(77) - -2*sqrt(77)))*5)\/(sqrt(56)\/(-1*sqrt(8)*-3)).\nAnswer: 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1987*o**2 - 901*o + 9685*o + 15 - 15 + 5336*o**2 wrt o?\nAnswer: 14646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1)**27\/((q\/(q*q*q*q**3*q))\/(q\/(q\/(q**(2\/3)\/q))))*(q**(-6)*q**9)**(2\/49) assuming q is positive.\nAnswer: q**(4820\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 less than -42425?\nAnswer: -42470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**5 - 45*u**4 - 216*u**3 - 312*u**2 + 144*u + 432 = 0. Calculate u.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d - 10. Let t(u) = 16*u + 51. Let z(n) = 11*f(n) + 2*t(n). Let k be z(-10). Which is the nearest to -2?  (a) k  (b) 0.5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -130.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 79019123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3\/7 + 951*u**2\/7 - 2880*u\/7.\nAnswer: 3*u*(u - 3)*(u + 320)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 13 - 29 = 0. Let z = x - 5. Suppose z = -5*a + 66. Calculate the remainder when 39 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 6:11 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -490 = 17*f - 660 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 455 = a - 8*a. Let w = -61 - a. Suppose 148 = 4*y + w*c, -6*c = -c - 5. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12376 divided by 4.\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -985508069*f**4 + 405641931*f wrt f?\nAnswer: -11826096828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, -11, 778, 5.\nAnswer: -11, 5, 46, 778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -722cc8 (base 16) in base 12?\nAnswer: -260a234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 2520.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93 and 315735.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153009.\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 4, -0.13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1026091986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 z, and 2 y when four letters picked without replacement from zzyyxadu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 3:09 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 + -20. Let x be (10\/n)\/((-1)\/(-2)). Let k be (0 - (-110)\/2)*(-2)\/5. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -5*r**2 + 155*r - 185. Let t(b) be the third derivative of b**5\/60 - 13*b**4\/8 + 23*b**3\/3 + b**2 - 26. Let d(j) = -4*l(j) - 15*t(j). Factor d(i).\nAnswer: 5*(i - 5)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m = 29*m + 27*m - 81393. Calculate the remainder when m is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from xutpuoxz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 156525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, 1\/2, 0.07, 6?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/16 - (0 - 1). Let r be (-606)\/(-2484) - 2\/9. Let o = -95\/138 + r. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1333.188 milligrams in nanograms?\nAnswer: 1333188000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/3, -4\/7, -1, -23 in increasing order.\nAnswer: -23, -5\/3, -1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 11*h - 148 = 0. Suppose 173 = 4*m + h. Let b be (-1 - 57)\/(m\/(-17)). Solve v + b = -2*v + 5*l, -3*v + 7 = 4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14099, 14205, 14311, 14417?\n\"Answer: 106*u + 13993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52745443 = 5*p + 82254547. Let v be p - 7\/((-14)\/(-4)). Round v to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 1\/7  (c) -1\/285  (d) 2\/3  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181540 + 177740 = 76*p for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**2 + 7*l**2 + 6*l**2 to the form r + n*l**2 + s*l and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 6*d**2 - 7*d - 5. Determine u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/22, 35, 2\/11 in decreasing order.\nAnswer: 35, 2\/11, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 - 6*p - 1. Let o(g) = -2*g**2 + 46*g + 43. Let u be o(24). Let n be d(u). Solve -v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i**3 + 2*i**3 - 3*i**3)*(8 - 1 + 2) as g*i**2 + x*i**3 + f*i + p and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*y - 278*y - 2 - 2350*y + 297*y.\nAnswer: -2349*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177*f + 67*f + 111*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l**1*l*l)\/l*l*l*l**(1\/5)*l)\/(l*l*l*l*l*l**(-6)*l*l*l\/(l\/l**4)))**(-38))**(-5\/9) assuming l is positive.\nAnswer: l**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9549?\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28468, 28506, 28594, 28756, 29016, 29398?\nAnswer: 29926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/2720751 and 83\/281457.\nAnswer: 8162253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u + 0 + 0 + (-3*u - 4*u + 5*u)*(8 - 6 + 8) - 1 + 1 + 2*u - 4*u + 4*u + u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 8*h**2 + 8*h - 1. Let d be c(7). Suppose d = g - 0. Let s be (8\/(-10))\/(g\/(-5)). Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4069 or -4073?\nAnswer: -4069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -p**3 - 63*p**2*t + 68798*p*t + 7*t - 4714264 wrt p.\nAnswer: -3*p**2 - 126*p*t + 68798*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -h**4\/12 - 7*h**3\/6 - 18*h. Let a be m(-7). Solve -1 = -p - a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 204, 345, 482, 615, 744, 869, 990?\n\"Answer: -2*o**2 + 147*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 3*d + 4*v - 3*v + 201, -4*d + 41*v - 46*v = 121 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16726132 less than -65.21447?\nAnswer: -65.04720868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p + 2. Let a be t(0). Suppose -14 + a = 3*o. Let s(z) = -2*z**2 - 6*z - 5. Let j be s(o). Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/(88\/(-840) + 6\/45) is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 6*v + 10. Let i be 1*v*780\/(-40). Calculate the smallest common multiple of 1 and (-4)\/(i\/(-15) + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*g - 18*g**3 - 12*g + g**2 + g**2 + 20*g**3 in the form h*g + o*g**2 + q*g**3 + n and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-5 + sqrt(63) + sqrt(315)\/sqrt(5)*1 + 5)**2)*-5.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k - k**2 + 5 + 2*k + 4*k. Let j be i(5). Suppose 0 = 5*a + 4*s - 51, 3*s - j*s + 8 = 0. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(2*g**3 + 2*g**3 - 6*g**3)*(3 + 1 + 3)*(0 - 2 + 3).\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 576958 is divided by 960.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 227215\/284 - 3205\/4. Let d = j + -4631\/639. Suppose 5*f + 147 = 3*h, -3*h + 48 = -2*f - 18. Find the common denominator of f and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/4)\/(-9)*16\/(-54)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24548*a**3 + 25003*a**3 - 99560*a**3 + 25007*a**3 + 25001*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 81330000 to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -765*u**2 + 683 with respect to u.\nAnswer: -1530*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + p - 2*z - 2 = 0, 5*z = -4*p - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 + h**2. Let a(y) = -y**3 - 6*y**2 + 8*y - 4. Let x(i) = a(i) - 2*q(i). Let f be x(8). Calculate the greatest common divisor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of n**2\/2 + 521. Let g(x) = -x**2 + 1. Let o(a) = -a**2 + 2. Let i(b) = 2*g(b) - o(b). Calculate i(c(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 4:25 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 66*q**2 + 286514 + 3*q + 284422 - 568409 wrt q.\nAnswer: 132*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1048097 or 1048122?\nAnswer: 1048122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r. Let p(m) = 922412*m**2. What is w(p(g))?\nAnswer: 3689648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3108932006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -7*m**3 - 18*m**2 + 164*m - 8. Let t(v) = 4*v**3 + 9*v**2 - 82*v + 4. Let r(n) = -3*p(n) - 5*t(n). What is the tens digit of r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1095005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -100800 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -6*m**3 + 236*m**2 - 132*m - 53. Is g(-61) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/60*-22 + -2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -6*s + 84. Let b = s + -71. Let q = b + 57. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191 = -g - 3*l, g + l + l = 188. Let h(u) = -188 + 0*u + g + u - 4*u. Determine h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/(-15)*6\/8. Let r be 5*-7*6\/(-15). Let t be (-4)\/16 + r\/(-8). What is the nearest to t in s, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4))**(8\/11)\/(n**(-18)*n*n*n**(1\/14)) assuming n is positive.\nAnswer: n**(2005\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**2 + 3*g - 3*g)*(4 + 5 - 3 + 1 - 2 + 3 + (-2 + 0 + 4)*(-1 - 1 + 1)) + 2 - 2 - 3*g**2.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*3 - 1 - 0. Suppose 5*f + 5 = -2*u + u, -4*u - 20 = 4*f. Solve -2*v - 3*v = 2*o - 18, f = -t*o - 3*v + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**2. Let q(n) = n**3 - 13*n**2 - 12*n - 19. Suppose k = -5*a - 11, 5*k - a - 80 = a. Let m be q(k). Let d(o) = 17*o + 0*o - m*o. What is w(d(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200202001211 (base 3) to base 11.\nAnswer: -2321a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + 1245\/30 + -20?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 52?  (a) -0.5  (b) -0.2  (c) -1\/6  (d) -1.2  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 105 + -104.6. What is the third smallest value in -3, u, -8, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 1)\/(1\/5). Let d = -0.18 + 0.4. Let z = 0.02 - d. What is the smallest value in z, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 116 - -b77b4?\nAnswer: b78ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 2388 = -19*v + 132. What is the highest common factor of v and 2940?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5372a (base 14) to base 5\nAnswer: 22423342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -817015, -817007, -816999, -816991, -816983, -816975?\n\"Answer: 8*g - 817023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008037052 rounded to 5 decimal places?\nAnswer: -0.00804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 1:42 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 76 = 5*t, -72 - 64 = -5*p + t. Suppose -41*w + p*w = -1872. What is the smallest common multiple of 216 and w?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1223484, 2 in ascending order.\nAnswer: -1223484, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4*v - 19 = -54, 0 = -5*f - 3*v + 30. Let w(r) = 42*r + 24. Calculate the remainder when w(f) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + 9*o + 10. Suppose -4*i - 20 = 4*j, -2*i = -2*j - 2*j - 38. Let m be q(j). Is m\/(((-4)\/(-30))\/2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -1107*v**2. Let f(w) be the third derivative of -w**4\/8 - 3*w**2 + 215. What is s(f(c))?\nAnswer: -9963*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -105*p**5 - 3*p**4 + 403*p**3 + 21614*p + 19?\nAnswer: -2100*p**3 - 36*p**2 + 2418*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2116012 times -42?\nAnswer: -88872504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.4 + -6.6. Let o = g + 3. Let q = -8 - o. Which is the nearest to -1?  (a) -0.2  (b) 0.5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 65, 162, 301?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 17551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -694856*m + 609492 wrt m.\nAnswer: -694856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - -5)*2\/5. Let q be 5\/(10\/(-3))*24\/(-60). Suppose -q*c**2 + p - 4\/5*c = 0. What is c?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -2. Let c be t + (-3)\/(-3) + 1. Suppose 0*m = c*m + g - 8, 31 = 5*m - 3*g. Calculate the remainder when 8 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1529015.615 to the nearest ten.\nAnswer: 1529020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 11, 3, -2, -1241, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {j: 2, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of 181*u**3\/2 + 23*u**2\/2 + 740*u. Find the first derivative of b(p) wrt p.\nAnswer: 543","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4158 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14) - (6*sqrt(14)*1 - sqrt(14)) - (sqrt(686) - -1*sqrt(686)))\/((sqrt(28) + sqrt(252))*-5))**2.\nAnswer: 81\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20918200*0.1.\nAnswer: 2091820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (179\/((-51015)\/342))\/(-15*(-12)\/1000).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-4)\/b*b**(-1\/7)\/b)**(-4\/13))**13 assuming b is positive.\nAnswer: b**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-g - 2 + 2)*(0*g + 4*g - 2*g) - 3*g**2 - g**2 + 3*g**2 - 1 - g**2 + 1 + (3 + 2*g - 3)*(-1162*g + 502*g - 618*g)*(-2 - 2 + 1))*(5*g - 3*g - g).\nAnswer: 7664*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -81*h**2 + 12*h - 3.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -7*b - 106 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 1 - (5598 - 5566)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -39528 + 101?\nAnswer: -39427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**2 - 52331*p + 26095*p + 25976*p - 3 in the form j + g*p + z*p**2 and give g.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -578 + 835. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5866 + -5862. Let q be ((-10)\/(-4))\/((-1)\/(-2)). Let m = 3 - 2. Put -5, q, i, m in descending order.\nAnswer: q, i, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 6 - 1 - 1 - 2*j**2 + 9*j to the form i*j + y + m*j**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1422 by -1422.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*-5*(-3 - -1). Suppose 3*r = -3*i - 19 - 26, 0 = 5*r + 25. Let d = w + i. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 384*c - 332*c - 364 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 33905228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 734 and -217505.\nAnswer: -216771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00142138 to five decimal places.\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 254.3 + -285. Let h = a - -34.7. Let i = -197 - -586\/3. Sort i, h, -5 in increasing order.\nAnswer: -5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r + 2. Suppose c = -3*u - 56, 2*c - 23 = u - 2*c. Let v = -24 - u. Give t(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31212131211 (base 4) to base 11\nAnswer: -2015825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -41728 (base 9) to base 8\nAnswer: -65656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(48)\/sqrt(6) + sqrt(8))*2 - sqrt(288)*-4)\/(6*sqrt(144) + (sqrt(400) - (sqrt(400) + 2*sqrt(400)))).\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5\/90 - (-25)\/198\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-81)*0 - 7 - (-4 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l + 20. Let k be d(7). Which is the nearest to -0.4?  (a) 5  (b) k  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y + 5. Let u be g(4). Suppose m + 4*o - 3 = 4*m, -o = 4*m + 4. Let t be m + (-11)\/(-4) + -2. Which is the closest to u?  (a) t  (b) -5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3.1943016ns?\nAnswer: 0.000000000000887306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 43425*d - 50807*d + 94231*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 6*n - 5. Let g be r(3). Suppose 0 = v - 3*v + 24. Let d = g - v. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j**4\/3 + 64*j**3\/3 + 3268*j**2\/3 - 30160*j\/3 - 174800 = 0. Calculate j.\nAnswer: -23, -10, 19, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-631)\/(-240) - (-27)\/270 and -101\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58548794 to the power of 1\/2, to the nearest integer?\nAnswer: 7652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b**3 - 33440*b**2 = 0. Calculate b.\nAnswer: 0, 6688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 5 - (-1 - -1). Suppose 2*h - 2*i - 6 = -0*h, -d*i + 1 = 3*h. Suppose 5*x - 5*a = -0*a + 60, -h*x = -5*a - 18. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1546 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from duddddddddddd. What is prob of picking 3 d?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -28, -42, -56, -70, -84?\n\"Answer: -14*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f + 265 = -239. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 11:11 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -5. Let v be ((-6)\/6)\/((-1)\/(-3)). Let o(u) = -3*u - 7. What is the least common multiple of x and o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -14*m**2 + 5*m + 1. Let y(p) = -29*p**2 + 11*p + 2. Give 9*j(k) - 4*y(k).\nAnswer: -10*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 3*b + 60 - 39 = 0, 21 = -a + 3*b. Let q(r) be the second derivative of 1\/90*r**4 + 0 - 26*r + a*r**2 - 4\/45*r**3. Factor q(x).\nAnswer: 2*x*(x - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185585?\nAnswer: 5, 37117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 191\/4290 and 23\/260?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20.2 + 20. Let t(m) = m**2 + m. Let d be t(1). Suppose -d*x - 4 = -0. Which is the nearest to x?  (a) q  (b) -5  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -16 - 4. Suppose 0 = -4*q + q + 6. Calculate the smallest common multiple of 6 and 5 + -3 + j + q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25742 smaller than 25740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -92\/609 and 29\/258711.\nAnswer: 52518333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5071459 or -4\/11?\nAnswer: -5071459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 13 = -4*k. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-6))\/(1\/3). Solve 2*m - f = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17487 and 609.\nAnswer: 122409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 113 + -65. What is the tens digit of 19812\/r - (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/210)\/(10\/1900).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 3)*(a - a + 2*a)*(-155 - 96 + 206 - 2 + 0 + 1 - 1 + 1 + 2 + (1 + 0 + 0)*(5 - 3 - 1) + 1 + 1 + 0) in the form s*a + h and give s.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10291775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + a**2 - 2*a)*(-a - 2*a + 5*a) - 2 - 1133627*a + 1133627*a - 178*a**3.\nAnswer: -176*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -175611\/2 at most as big as -87807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 16*s**2 + 37*s - 21. Calculate m(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 50616?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -455*j**3 + 5*j**2 + 9*j + 7. Let h be m(-3). Let o = h + -8321. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 11:27 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 5*o + 5. Let r(l) = -3*l**2 - 12*l + 12. Suppose 2 = 4*g - 6. Suppose 4*x + 3*t = 5*t + 28, 5*t = g*x - 30. Give x*r(m) - 12*z(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 865*k**5 + 35*k**2 + 186487*k.\nAnswer: 17300*k**3 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 189*f - 31. Let i be (((-4)\/(-3))\/4)\/((-16)\/(-96)). Is l(i) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 61*y**2 + 93*y - 1976. Let t be h(60). Solve -t*r + 5*q - 11 + 43 = 0, -8 = 2*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-10306.5\nAnswer: 10306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 353406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, h: 14}. What is prob of picking 1 h and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 - 2 + 3)*(0 + 1 - 2) - 3 + 2 + 2)*(-2*f - f + f)*(-1 + 4 - 8) to the form g + u*f and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*i + 12*i - 128. Suppose 0 = -2*s - 4*p + i, p = -2*s + 3*p + 2. Solve 2*v + 0 = -s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 16. Suppose -2*l + 9 = 3. Solve -1 = -s + y*k, -3*s + 6 = -3*k - l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -14 - 52 + 3*u**2 - 2*u - 2*u + 25. Is s(-10) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -247 by -1057.\nAnswer: 247\/1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 5. Let z(v) = v**2 - 1. What is -w(u) - 5*z(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 76599.43393508557 - -1007533397.56607021443. Let m = g - 1007609882. Let q = 115 - m. What is q rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*u - 217 = 41 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 498044689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56643*c**2 - 208*c**3 - 56643*c**2.\nAnswer: -208*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*q**2 + 9*q**2 + 2*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1750997 bigger than -1750997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 - 36*r**2 + 34*r + 37. Determine l(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.147 - 34.647. Let s = 43 - 77. Let y = j - s. Put y, 1, 2\/5 in descending order.\nAnswer: 1, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from yeyeyeqyyyqe.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 4*v - 78 = 3*v, -3*h = -2*v - 69. Let q be (-10)\/3*(-30)\/h. Suppose -4*i + 15 = -i, 5*i + 23 = q*g. Solve 4*d - 8*d = g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 11*n + 0*n**2 - 5*n - n**2. Let z be i(6). Let g(v) = -v + 26. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + 1)*6.\nAnswer: 6 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 7 = -5*z. Suppose -3*r = 5*s - 0*r - 35, s = -5*r + 29. Let n = z + s. Round n to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-1)*(-6)\/(27360\/(-40))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 418622.27 rounded to the nearest 1000?\nAnswer: 419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*r**5\/3 + 2321*r**4\/3 - 8380*r**3 + 4948*r**2\/3 + 3520*r\/3 = 0.\nAnswer: -176, -2\/7, 0, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 369*h. Let a(c) = 828*c + 2. Calculate x(a(z)).\nAnswer: 305532*z + 738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(-14))\/o)\/o**12)\/(o**(-1\/2))**(2\/21) assuming o is positive.\nAnswer: o**(43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 75381940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2a14 + -c?\nAnswer: -2a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - -3*sqrt(108)*-6)**2.\nAnswer: 31212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*b - 46*b + 61 = -318 - 13 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/8775111 and 24\/2236793?\nAnswer: 114076443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + d**2 + 3*d + 1. Let p be f(3). Let k(r) be the second derivative of -r**5\/20 - 7*r**4\/12 - r**3 - 3*r**2\/2 - 4*r. Is k(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - 5*h - 6. Let n be i(6). Suppose 3*s - 4*y = -6 - 8, -2*y = -4*s - 2. Let x be 3 + n\/(s - 1). Calculate the highest common divisor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54273 and 474.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-98)\/4)\/(2\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.8 and -0.12.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*r**3 + 22*r**3 - 9*r**3.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 14\/3, 4406, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is cb - 6?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -39.222 >= -14094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -5. Let r be 3\/(6 - 3)*2. What are the prime factors of r\/(-4)*12\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9811.882 seconds in nanoseconds?\nAnswer: 9811882000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89539 is divided by 4216.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i**2 + 2 - 6 - 4*i - 3 + 4 in the form a*i + o + t*i**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**5 + x**5 + x**5 + (4 - 4 + x)*(0 + 0 + x**4) + 76*x**5 - 34*x**5 - 31*x**5 + (7*x - 5*x - 6*x)*(x + 2*x**4 - x).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 - 0.4. Let d = u - 0.15. Let o = d + -0.2. What is o rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19790 + 11300087\/571. Let b = v + 5163\/4568. Find the common denominator of b and ((-54)\/(-4))\/(((-42)\/(-22))\/1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(1\/(-2) - 0). Let o(j) = 5*j**2 + 1. Let w be o(-1). Suppose -y - t = -w. Let m(b) = b**2 - 6*b + 5. Determine m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**5\/3 - 2215*c**4\/3 + 4075*c**3 - 20030*c**2\/3 + 4460*c\/3 + 2968 = 0.\nAnswer: -1113, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 380202?\nAnswer: 2, 3, 63367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -331 + 2222?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2 - 0) + -4 + (-108 - -38) + 24.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = m + k, 2*m + 1 = -k + 35. Calculate the common denominator of 12\/(-81) + (-3)\/3 and 49\/108 - (-8 - (-124)\/m).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112508 is divided by 448.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 9606301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 237507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccbc. What is prob of picking 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 12380\nAnswer: 1\/1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, h: 3, a: 2, v: 5}. Give prob of picking 1 d, 2 v, and 1 h.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1238.15549 - 1186.9752. Let v = -91.180244 + g. Let w = v - -40. Round w to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-55)\/110)\/(2\/8*-5). What is the third biggest value in -2\/7, -4, -2\/29, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.325 times 11\nAnswer: -36.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-504)\/36)\/((1*-1)\/(9\/(-9)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.55 + -0.05. Let k = -3.2 + 0.6. Let j = p - k. What is the second biggest value in j, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(192)*3.\nAnswer: -3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*b + b + 2*b + (-6 + 3 + 2)*(-58*b + 98*b - 62*b) to l + q*b and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(11\/3)*g)\/(g*g**(1\/14)*g*g)*g*g**(2\/33)*g*g**1*g*g assuming g is positive.\nAnswer: g**(149\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 53\/4 of a hour?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1914, -1902, -1888, -1878, -1878, -1894, -1932, -1998?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3.1, 12195, -17?\nAnswer: 12195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5372 and 2844?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3148 - -3145.8032. Let j = -2.05 - p. Round j to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 1444\/3*c**3 + 1\/3*c**5 + 0*c**2 + 0*c + 76\/3*c**4 = 0 for c.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -11*f - 18. Let v be h(-2). Let x be (v\/(-10) + 712\/(-20))\/(-2). Which is the third biggest value?  (a) x  (b) -4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 7*c + 20. Suppose f = -3*k, -4*f + c*k = 26 + 22. Is f >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 3 + sqrt(162) - sqrt(162) - (sqrt(2) + 1 + 2))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - 6*b - 3. Let t be p(6). Let f = t + 18. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 19.28 and -0.14?\nAnswer: -2.6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 169575400 rounded to the nearest one hundred thousand?\nAnswer: 169600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25722\/7 + 3675. What is the fourth smallest value in 56, -0.1, h, 3\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -301211230 (base 4) to base 3.\nAnswer: -101022121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8439 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -69 - -111. Let o = -41.61 + g. Let u = 0.09 - o. What is the closest to 0.1 in u, 10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2119629073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10000 (base 2) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(900))\/(sqrt(6)\/sqrt(2)*4).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -99 by -11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 3*s**3 - 48744*s**2 - 48747*s = 0?\nAnswer: -1, 0, 16249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xuw when three letters picked without replacement from {d: 1, x: 1, u: 2, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 92044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2189237, -2189184, -2189089, -2188946, -2188749, -2188492, -2188169?\n\"Answer: t**3 + 15*t**2 + t - 2189254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of u**5\/60 - 110*u**3\/3 - 463*u**2. Let g(o) = 17 - 17 - 3*o**2 + 2*o**2. What is g(y(w))?\nAnswer: -w**4 + 440*w**2 - 48400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 2*x - 18 = 0. What is the smallest common multiple of x and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 122326158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1.781 * -15\nAnswer: 26.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279*h - 326*h = -517 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.112?  (a) 0  (b) 0.1  (c) 30  (d) 5  (e) -0.1  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 22.545 times 345.1\nAnswer: 7780.2795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -190, -198, -210, -226, -246, -270, -298?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*v**3 + 312957*v**2 + 4*v - 372040912?\nAnswer: 18*v**2 + 625914*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1336 and 76820?\nAnswer: 153640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-1)\/5 - 1*(-11)\/(-55))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(252\/114) + 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.512452 litres in millilitres?\nAnswer: 8512.452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, z: 1, n: 2, s: 8}. Give prob of sequence ns.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 240144230 - 1?\nAnswer: 240144224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5003213, 5003215, 5003215, 5003213, 5003209, 5003203, 5003195?\nAnswer: 5003185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m**2 - 5*m**2 + m**2)*(-81 - 76 - 61*m + 155) in the form b*m**3 + o*m + p*m**2 + y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of 253 - 80\/3*g - 22\/3*g**2 - 2\/9*g**3. Factor y(x).\nAnswer: -2*(x + 2)*(x + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1327, 1332, 1337?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1072418921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000006659 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*y**5 + 88*y**4 - 108*y**3 - 8064*y**2 + 6480*y + 129600 = 0. Calculate y.\nAnswer: -15, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.236 - 1.5995684127\nAnswer: -1.8355684127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 826265 divided by 4565?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of -q**5\/20 - 3*q**4\/4 + q**3\/2 - 11*q**2\/2 - 2471*q. Give l(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ggggugu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 94 = -3*h - 3*d, -5*d + 5 = 0. Let v(s) = -s**3 - s**2 - 14. Let n be v(0). Let u = h + n. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75231 is divided by 659.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1940628, 1940633, 1940640, 1940649, 1940660, 1940673, 1940688?\n\"Answer: z**2 + 2*z + 1940625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 204, -106, -416, -726, -1036?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 16*s**2 + 61*s - 977. Calculate n(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**4*m + 2*l**4 + 72*l**3*m**2 - 42*l**3 - 2791*l**2*m**2 + 3*l*m**2 + l*m wrt l.\nAnswer: 24*l*m + 48*l + 432*m**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -86 + 42 + 42 + 4*v**3 + 15*v**2 + v**4 to l*v + w*v**2 + u*v**4 + x + m*v**3 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 99971278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k - 10*k + k - 16*k**2.\nAnswer: -16*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/17?  (a) -4  (b) 0  (c) 1.5  (d) 12  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 9*p**2 + 36*p + 42. Let g be x(-18). What is the hundreds digit of (g\/25)\/(-4*5\/(-100))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183035381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*m - 310 = 387*m - 1081 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 + 162 = 5*u - n, 0 = 2*u - 0*u - 5*n - 63 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02890234 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 - 24. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 44*d + 1. Let y(j) = -1182*j + 399*j + 393*j + 391*j. Determine y(w(q)).\nAnswer: 44*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 142715991 to the power of 1\/2, to the nearest integer?\nAnswer: 11946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22348125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -190*j - 79*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30.05 + 0.05. Let a = 28 + q. What is the closest to 1 in a, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 + 431*k + 17647. Calculate o(-56).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -322*c**2 - 2559*c + 638*c + 645*c + 635*c + 638*c + 70*c**2.\nAnswer: -252*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + 2*u**4 + u**3\/3 + 9*u**2 + 368*u - 1. Give g(24).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.219 - -0.459. What is k rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29032928 divided by -907279.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -8, -1 in decreasing order.\nAnswer: 4, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - -27. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32.3 + 1.7. Let d = x + -26. Let f = -7 + d. What is the smallest value in 4, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 584*s**3*w**3 + 77136*s**3*w - s**2*w**3 - 385*s**2*w + 47*s*w**2 - 2*w + 8 wrt s.\nAnswer: 3504*w**3 + 462816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -36231 - 4?\nAnswer: -36235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, g: 8, d: 7, r: 2}. What is prob of picking 2 d?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 43839290?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -233240 and -233242 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 177, 178, 179, 180?\n\"Answer: l + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 7\/2500?\nAnswer: 7\/2500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -13.39935481 * 0.4\nAnswer: -5.359741924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-4)*w**(2\/29))**(-2))**(3\/4) assuming w is positive.\nAnswer: w**(-441\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1576 + 1131 + 99 + 742)*(2 + 3*w**4 - 2).\nAnswer: 10644*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of y**5\/4 + 5*y**4\/12 - 5*y**3\/6 - 5*y**2\/2 - 32*y - 5. Let c(l) be the first derivative of k(l). Factor c(x).\nAnswer: 5*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-56)*24*((-140)\/(-8))\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -1485122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sisi when four letters picked without replacement from {q: 2, s: 4, i: 7}.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 4*i + 19 = 0, 2*s = 6*s + 2*i - 22. Suppose -5*g + 98 = 113. Let z be 0\/(-17)*((-3)\/(-1))\/g. Solve -q + z*q = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.934169 tonnes to milligrams.\nAnswer: 4934169000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1884)\/(-1727) - (-2 - 2064\/165))*(7 - 2).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, o: 7, m: 9}. Give prob of sequence lmm.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -257 - -122. Let r = 399 + w. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 2*d - t - 11, -d = 3*t - 7. Suppose d*m - 2*m - 30 = 0. Let q = m - -70. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 - 3*o + 17. Let g be h(-5). Let m(f) = 2*f - 9. Suppose 54 = 4*r + 22. Let k be m(r). Calculate the greatest common factor of k and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -107*h + 2*h**2 - 108*h + 356*h to the form n + f*h**2 + r*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 90 or 897\/10?\nAnswer: 897\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 8, c: 2, a: 3, f: 6}. Give prob of sequence fsa.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2300 - 2295. Suppose 0 = -3*x + 10 - 1. Solve f*y - x = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o - 3. Let j be z(-5). Is 15\/j - (-5)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 5*x - 219, -6*x + 2*x = v - 60. Calculate the remainder when v is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 1  (b) -1  (c) 5  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -52*v**3 + 12*v**2 + 11*v - 8. What are the prime factors of k(-4)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 20 = a - 2*a, -5*g - 25 = 3*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.716623kg in grams?\nAnswer: 6716.623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 10:40 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6\/67 - 143\/2345. Let g be (-20)\/10 - (-74)\/35. Let t = u + g. Is 0 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64408850?\nAnswer: 2, 5, 11, 181, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 12:28 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1790680037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b49ae8 + 5?\nAnswer: -b49ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -260 - -378. What are the prime factors of z?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 2*j**2 - 6*j - 28. What is the remainder when 216 is divided by l(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -412278.42?\nAnswer: 412273.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 576.1455um in kilometers?\nAnswer: 0.0000005761455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 7. Suppose 4*g + 17 = -q, 2*q + 19 = -5*g + 2*g. Which is the closest to -0.2?  (a) g  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 1991*o**2 + 4.\nAnswer: -1991*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**2 - 1 + p - 1 - 2 - p**3. Let l be u(-7). What is the units digit of (l\/15)\/((-10)\/(-25))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 178218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 7 - (-13 - 16)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11621*s - 7716*s - 1105*s.\nAnswer: -20442*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3\/2)*r)\/r**1)**(4\/17)\/((r\/r**0)**19\/(r**(-1)*r)**(1\/5)) assuming r is positive.\nAnswer: r**(-329\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 123365, 123371, 123383, 123401, 123425, 123455, 123491?\n\"Answer: 3*h**2 - 3*h + 123365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11284 (base 12) to base 14.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/2)\/(102\/1020).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -288 + 486. What is the remainder when x is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 29 = -5*r, 0 = t + 2*r + 10 - 18. Let l(j) = -11*j + t*j - 3*j + 17*j. Let x(d) be the first derivative of d**2 - 1. What is x(l(h))?\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 31 = -5*m + b, 0 = -b - 1. Solve m*n = 22 - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -837737*b*p*x + 1304018*b*p - 4*p + 199*x wrt x.\nAnswer: -837737*b*p + 199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4224)\/297 - (-6 + -8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*h**2 + 0*h**2 + 5*h**2)*(12*h**2 + 5*h**2 - 3*h**2) + h**4 - h**4 + 2*h**4 in the form s*h + x*h**3 + t*h**4 + o*h**2 + m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15583*z**4 + 21*z**3 + z - 22415115 wrt z?\nAnswer: 62332*z**3 + 63*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 3*z. Suppose -2*r + 0*r = 3*k + 14, -3*r + 5*k - 2 = 0. Let m(i) = -i**2 + 2*i. Give r*q(d) + 5*m(d).\nAnswer: -d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - (1 + -2 + 2). Let u be -1 - (o - (0 + 2)). Let c be ((-12)\/(-21))\/(u\/21). Are c and 14\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 25 in -0.05, 0.2, 1\/2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpqp when four letters picked without replacement from {p: 2, q: 2, i: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 520810343 to the power of 1\/2, to the nearest integer?\nAnswer: 22821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31062 and 2790?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1602584515*q + 1602584515*q - 18*q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27672855?\nAnswer: 3, 5, 7, 17, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 321?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 PM and 7:50 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 589\/111 - 1801\/444. Let o = -4 + 4. Let g = o + -0.4. Which is the fourth biggest value?  (a) 3  (b) g  (c) m  (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 5*c + 5*c + c - 2*c + 3*c + (-1 - 1 + 0)*(3*c + c - 2*c))*(-c**3 + 3*c**3 - 4*c**3) - c**4 - c**4 - 3*c**4.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**2 - 5*d**2 - 9*d**2)*(13 + 35 - 2)*(0 + 4 - 3).\nAnswer: -506*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 47 + -106?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.23639 years in centuries?\nAnswer: 0.5923639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.165, 3, -0.4.\nAnswer: -0.4, -0.2, -0.165, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*x = -2*v + 194, 0 = 3*v - x - 289. Let g = v - 67. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26764, 107060, 240894, 428266, 669176, 963624, 1311610?\nAnswer: 1713134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 70, -54, -4, 0.04, -2, 0.6 in decreasing order.\nAnswer: 70, 4, 0.6, 0.04, -2, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a - 15 = -13*a. Let o(d) be the second derivative of d**4\/6 + 2*d**2 + d. List the prime factors of o(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 9*r**2 + 10*r + 11. Let y be x(-10). Suppose -5*w - 14 = y. Sort 4, w, -3, 1 in ascending order.\nAnswer: w, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*h = 3*j + 340, j + 4*h + 132 = 0. Let i = 200 + j. Which is smaller: 85 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 + 5)\/(238\/70*-10). Let t = -1.2 + 1.2. Which is the fourth biggest value?  (a) -1\/6  (b) t  (c) x  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 77\/120 - -1\/40. Let o be 1 + (-2)\/(2 - 0). Which is the closest to o?  (a) m  (b) -0.5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-5) - (-10)\/25. Let a be ((-324)\/(-144))\/(6\/(-32)) - -6. Sort f, -3, a, 2 in decreasing order.\nAnswer: 2, f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 18*v**2 + v - 1. Let y be z(-1). Let t be (y\/(-3))\/(7\/(-42)). Calculate the highest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 10. Find the third derivative of 2*t**5 - 4*t**z - 71*t**2 + 19*t**5 + 54*t**2 wrt t.\nAnswer: 1020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*n = 6, 4*l + 4*n - n = -35. Put l, 2, 4 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-63)\/(-18) - (-3)\/(-2). Let x be (-3)\/(2 + -3)*k. Solve 0 = -4*d - x - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*n + 9\/4*n**2 - 33\/4 = 0.\nAnswer: -1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 10:27 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.2 - 4.8. Let w = l - -7. Let s = w + 1. Which is the second biggest value?  (a) 1\/5  (b) s  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3063604*t = -3063389*t + 6206 + 11424 for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 12*g**3 - 3*g**2 + g - 3. Let j be o(3). Suppose 3*z = 3*m - j, -m + 4*z + 103 = z. Let s = 141 - m. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1399007 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74796.\nAnswer: 2, 3, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 - -42.1. Let j = u - 2. Let i = 0.02 - -4.98. Which is the third smallest value?  (a) j  (b) i  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*m + 13*m = 30*m - 1340808. What are the prime factors of m?\nAnswer: 3, 23, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qlbbblbbl. What is prob of sequence llq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1074, -4355, -9840, -17529, -27422?\nAnswer: -39519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -1 - (-1466 - -1474).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1101565860 to the nearest one million.\nAnswer: 1102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 10 - (101 - 106)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 - 15350*c + 15350*c - 3 + 3.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4 + n**3 - 4*n**2 - 5 - n + 2*n**2 + 5*n**2. Let l be u(-3). Let p(a) = 4*a**2 + 3 - l*a**2 - 1 + a. Let f(q) = -q + 1. Give f(z) + p(z).\nAnswer: 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2056 - -2051. What is the closest to -2\/3 in -6, -1\/2, k, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 4730\/258 - (-4270)\/(-3234)\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 - 18 = 2*u. Let l be u\/9 - (-2)\/6. Is 3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2837 - -2848. Solve -3*c + g + s = -0*g, 23 = 5*c + 3*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 573 - 257. Calculate the remainder when q is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5433 (base 12) to base 3.\nAnswer: 110200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of b**7\/168 - b**6\/120 - b**5\/80 + b**4\/48 - 2*b. Find a, given that j(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 9. Let p(f) = f**3 - 5*f**2 - 5*f - 2. Let t be p(d). Find the common denominator of -67\/20 and 1939\/420 + t\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.038728801 rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from wpowqboowoq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of d**7\/21420 - d**6\/1530 - d**5\/204 - 59*d**4\/12 - 89*d. Let j(r) be the third derivative of v(r). Factor j(z).\nAnswer: 2*(z - 5)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 7810*y - 70323. Determine i(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + -7. Let p = 42 - 128\/3. Let s = 29 + -29.1. Sort p, 0.03, s, c.\nAnswer: p, s, 0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 16 = 4*a, 0*m - 3*m = -4*a + 14. Suppose m*r = -0*f + 2*f + 1830, -2725 = -3*r - f. Suppose -r = -4*q + 526. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-71306)\/2471 - (26\/(-14) - -4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) -0.6  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, y: 10, m: 4, s: 5}. What is prob of sequence yt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 6*d - 53. Let p be c(11). Suppose 3*r = p*f + 576, 5*f - 845 - 115 = -5*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*j**2 - 273*j**2 - 152*j**2 + 790*j**2.\nAnswer: 137*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of v**5\/20 - v**4\/3 + v**3\/3 + v**2 + 5*v + 3. Let j(a) be the first derivative of c(a). Give j(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 511775 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 2 - 2 - 2*m**2 + 3 to q + h*m**2 + z*m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**2 - 5*p**2 + 6*p**2 - 2*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c + 3*c - 2*c + 3*c + 4*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*u - 42*u + 39*u as c + i*u and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 (base 3) in base 12?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -23. Suppose -10 = -2*l - 4*a, 2*l + a - k = -6. Let n = -7 + 11. Solve -4*f - f - n*u = -8, -l*f + 2*u = -18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21357048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pkkpppykpykkkpkp. What is prob of picking 2 k?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 2*d - 75. Suppose 5*z - 5*p - d = 0, -2*z + 6*z - 60 = -5*p. Suppose 3*t + 6 = 0, 2*t + 3*t = -5*o + z. Solve -l = -o*q + 1, -1 = l - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2536 - 25243\/10. What is the common denominator of m and 1\/6 - (-3 + 815\/120)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + (-28 - (-21 - -7)) + -35.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 4*l - 44, -64*l - 3*r - 44 = -68*l. Solve -27*j - l = 3*m - 25*j, 5*m - j + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 114 and 4902.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 1706 - 845 + 5*l - 854 as q*l + t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2308199797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: c08 (base 14) to base 4\nAnswer: 210320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 2\/7, 0.82887, -0.15 in descending order.\nAnswer: 0.82887, 1\/3, 2\/7, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1919 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 18\/10)*5. Let f = 101\/14 + -54\/7. Which is the nearest to f?  (a) 1  (b) r  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 0*a**3 - 1\/160*a**5 - 21\/2*a**2 + 0*a - 1\/32*a**4 - 27 + 1\/320*a**6. Let c(x) be the second derivative of u(x). Factor c(r).\nAnswer: 3*r*(r - 2)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 133401354 (base 7) in base 6?\nAnswer: 505310410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {x: 2, t: 4, i: 1, f: 5, u: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(16\/42))\/((-1668)\/(-8896)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*d + 116. Let c = d - -83. Suppose m = 6*m - c. Calculate the highest common divisor of m and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -9*c**3 - c**2 - c. Let n be j(-2). Suppose 5*f + 2*x = -236, 2*f - x = x - 100. Let u = n + f. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 1189332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-69)\/69*(-4)\/(-88).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13638 + -11804. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 12*n**2 - 4*n - 5. Let h be v(-1). Solve 4*a + h = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f\/(((f*f**(-19))\/f)\/f))))**(-41) assuming f is positive.\nAnswer: f**(-861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -102111001212110?\nAnswer: 102111001212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fffaafffaaafa.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + (15 - (-9 - -35) - 1) - (-4 + 49).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.37 - -2.37. What is the nearest to 2 in -1\/4, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/(-10))\/(((-6)\/3)\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/15?  (a) 0  (b) -3665  (c) 4  (d) 1  (e) 0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 236287 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 19 + 63. Let a(k) = k**3 - 10*k**2 - 4*k - 12. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(13\/3)*k*k**(-2\/19)\/k*k**13\/(k\/k**(4\/9)) assuming k is positive.\nAnswer: k**(2851\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of 0*s - 7\/6*s**3 + 0*s**4 - 8 - 1\/10*s**5 + 3*s**2. Let k(o) = 2*o**2. Calculate z(k(c)).\nAnswer: -24*c**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7 - (10 - 3) - -7) + -9. Sort 12, -5, -3, d, -1.\nAnswer: -5, -3, d, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 63.34761 kilometers?\nAnswer: 63347610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 131369 by -1.\nAnswer: -131369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-1))\/(1*6). Let k = -3.7 + -0.7. Let t = 2.4 + k. Is t < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3172884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2601 and 306?\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by 10050?\nAnswer: 13\/10050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 233 = -m, 5*m = -0*s - 5*s + 1185. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.21, 0.3, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 3*f = 256, 3842 + 3829 - 7655 = -4*f for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5805 - 5727. What is the highest common factor of w and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2703, -5406, -8109?\nAnswer: -10812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 1367626?\nAnswer: -1367627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 18*j**2 + 13*j - 7. List the prime factors of a(18).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -263409*d**2. Let q(k) = -2*k**2. What is r(q(m))?\nAnswer: -1053636*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 396 and 360.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 108\/(-162)*((-18)\/(-14))\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 88\/(-42) - (65 + -67). Which is the closest to -2\/5?  (a) q  (b) 15  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -11*q + 33 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -310, -659, -1050, -1489, -1982, -2535?\nAnswer: -3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-64)\/(-32)*4\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 14*l**5\/3 + 220*l**4\/3 - 64*l**3\/3 = 0.\nAnswer: -16, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(110) - (sqrt(110) - 1*sqrt(110)*2)) + sqrt(110))*1)\/((sqrt(250) - 2*2*sqrt(250)) + sqrt(250)).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -2  (c) -0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 4 + (-7 + 2 - -5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99866406.\nAnswer: 2, 3, 41, 313, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*t - 64 - 141 - 22*t + 66 - 7*t to the form y*t + f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vxc when three letters picked without replacement from {x: 3, p: 2, v: 2, t: 4, d: 1, c: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1914  (b) -3  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(468) + sqrt(13) + (-2 + sqrt(13))*-1 + 2)**2 - (sqrt(286)\/(sqrt(44) - sqrt(11)))\/(sqrt(98) - sqrt(98)*-1).\nAnswer: 671*sqrt(13)\/14 + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -4*g**2 - 590*g + 181. Calculate m(-148).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 304112 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1479, 5929, 13337, 23697, 37003, 53249?\nAnswer: 72429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 11. Let w(y) = -4*y - 4. Let n be w(-1). Suppose -5*h - 17 = b, 4*b - b - 4*h - 25 = n. Solve k - 9 = -b*l, 2*k + 12 = o*l + 4*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*o**5 - 3779*o**4 - 17248*o**3 - 16285*o**2 - 1272*o + 1620 = 0. What is o?\nAnswer: -3, -1, -10\/19, 1\/4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/604 and -59\/4?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + 24. Let z = d + -24. Solve x - z = -4*x + 4*g, -2 = -2*x + 4*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -j**6\/15 - j**5\/12 + 8*j**3\/3 + 20*j**2. What is the first derivative of g(k) wrt k?\nAnswer: -24*k**2 - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/(-3)*(-13 + (-124)\/(-10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 232?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7984, 63856, 215526, 510892, 997852?\nAnswer: 1724304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 4)*(-698*d**2 + 1397*d**2 - 667*d**2) - 3*d**2 - d**2 + 2*d**2 in the form q*d**2 + s + g*d and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/23 + 24*w**2\/23.\nAnswer: 2*w**2*(w + 12)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(3388) + -1 + sqrt(3388))**2.\nAnswer: 352*sqrt(7) + 13568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -303 and 22.93?\nAnswer: -6947.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 2)*(-3 + 1 - 5*l + 3*l).\nAnswer: 6*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -4*n + 42 + 272, 3*q = n + 429. What is the remainder when q is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of 7*y**3\/6 + y**2 - 2*y. Let b be s(5). Suppose -28 = -5*h + b. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/77))\/((o\/(o**(2\/51)\/o))\/o) assuming o is positive.\nAnswer: o**(52\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -826*j + 459. Is x(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31*b*u**4 + 5*b*u**3 - 13849*b*u**2 - b - u**4 - 139*u**3 + 10*u wrt u.\nAnswer: 744*b*u + 30*b - 24*u - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1)**(1\/2)\/(l**(-2\/9)\/(l\/l**(2\/9))) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2 - 27585. Let f(q) = 2*q - 126. Calculate s(f(h)).\nAnswer: 8*h**2 - 1008*h + 4167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + 24. Let z be (-147)\/189 + 4\/(-18) + 1. Suppose z = q - u - 22. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.057 in 3, -170, 19, -2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**2 + 2*o**2 - o**2)*(-o**2 + 13*o**2 - 2*o**2) + (51*o**2 + 31*o**2 - 37*o**2)*(o**2 + o**2 - 3*o**2) + (o - o - o)*(4 - o**3 - 4).\nAnswer: -34*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9730 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5463 divided by 9\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-7))\/(-4 - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 47*n - 151. Give f(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4108\/3, 0.4, 30, 2, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (-1 + sqrt(1053) - sqrt(1053)))**2 + sqrt(13) + 4.\nAnswer: -sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19625, 37702, 55793, 73904, 92041, 110210?\nAnswer: 128417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5738353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o + 16*o + 11*o**2 - 21*o - 1. Let n = -2 - 1. Let r = n + 4. Determine y(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3 + 0)*(-153 - 481 + 96)*(-d + 2*d + 0*d) to x*d + k and give x.\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2552 divided by -638?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -979 + 982. Let v be 2\/(-9) + (-6)\/(-27). Let g(q) = -5*q - 1. Let l be g(-1). Solve -l*c = -5*m + 24, -4*c + v*c = -f*m + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 301, -1, 52, 5 in decreasing order.\nAnswer: 301, 52, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -30678, -61354, -92028, -122700, -153370, -184038?\n\"Answer: f**2 - 30679*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 48973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4318 - -4317.27. What is the closest to -2\/7 in u, 0.2, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17478, 17320, 17126, 16878, 16558, 16148, 15630?\nAnswer: 14986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92582 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 826f (base 16) in base 13?\nAnswer: 12277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 6*w - 24. Let o(d) = -31 - 28 + 78 + d - 26. What is o(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 11 + -2 + 1. Solve 21 = -2*i + 5*x, -2*i - i + x - z = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 11*s + 29. What is the remainder when 282 is divided by j(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 238?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4552 divided by -4\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u. Determine o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 6:19 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 227*q - 3. Let d be 46\/(-10) + (-2)\/5. Let u be k(d). Let t = u - -2289. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/194 and -97\/704?\nAnswer: 68288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 + 1. Let q be 56\/(-12) + (-2)\/(-3). Calculate the remainder when f is divided by (-5 - q) + (1 - -16).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, o: 3, i: 4}. Give prob of sequence aaoo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 124 + 23. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3469576 and 979?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 879334*s**4 - 15612926*s.\nAnswer: 10552008*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tlttytctsscyttcttp. What is prob of picking 1 p and 1 t?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjlqjljbjjllj. What is prob of sequence jl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -241*n + 4. Let v(m) = 84113*m - 1398. Let a(p) = -699*h(p) - 2*v(p). Let z(o) = -5*o. Calculate z(a(j)).\nAnswer: -1165*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 12. Let f be (-9)\/w*(-448)\/(-12). What is the units digit of -2 + (-5)\/((-20)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4105794 millilitres in litres?\nAnswer: 0.0004105794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*f**4 - 13*f**4 + 44*f**4 + (f**2 + 0*f**2 + 0 - 1)*(-9*f + 3*f**2 + 9*f).\nAnswer: 25*f**4 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -l**2*m*y + 101*l**2*m + 9*l**2*y*z - l**2*y - 184*l*m*z + 11*l*y - 491*l*z wrt m.\nAnswer: -l**2*y + 101*l**2 - 184*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14315 = 11*x - 16*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 2, 1\/8, -3, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = x + 740, 6*t - 2*x - 3709 = t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2847071697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0, -15, 0.10295, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - g**2 - 3. Let y be c(-2). Let v be (-6)\/y - 8*(-2)\/60. Factor -v*l**2 - 1\/3*l**3 + 4\/3*l + 8\/3.\nAnswer: -(l - 2)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 43075.7cm?\nAnswer: 430.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of 7\/6*w**4 - 1\/20*w**5 + 0 - 4*w - 11\/6*w**3 + 11\/2*w**2. Calculate the remainder when s(13) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 + 33 = -22*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2. Let h(y) = y + 4. Let b be h(-5). Let o(x) = -x. Let f(d) = -7*d. Let z(r) = b*f(r) - 4*o(r). Determine z(a(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 186343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 32 = 5*v - 4, 2*g = 4*v + 22. Suppose o = g + 2. Suppose 19 + 137 = o*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -58700712 * -2.\nAnswer: 117401424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -32*z + 43. Let w be i(4). Let k = w - -163. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 568520 = -5*d, -k + 16*d = 19*d - 189512. What is k rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20000222 + -200?\nAnswer: -20001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from rmsuuhr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/25  (b) 4\/9  (c) 2  (d) -0.2  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 8:09 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -3*u**2 + 15\/2*u - 18 - 1\/2*u**3. Factor n(w).\nAnswer: -3*(w - 1)*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {r: 5, p: 6, m: 1, q: 4}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/2 - 11\/(33\/(-9)))\/((-207)\/(-2346)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 1. Let u(p) = p + 7. Let n(z) = 6*h(z) - u(z). Let k(y) = 2*y. Determine 3*k(i) + 4*n(i).\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7214, 7543, 8200, 9275, 10858?\nAnswer: 13039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qggq when four letters picked without replacement from {q: 2, g: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (192\/110)\/(6\/150*1). Let n = -12703\/308 + j. What is the common denominator of n and -15\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**1*z*z**(3\/4)*(z*z\/(z\/(z\/(z*z\/(z\/(z\/(z\/z**3)))))))\/(z\/(z\/(z\/(z\/(z*z\/(z\/(z\/(z\/(z\/(z\/(z\/(z\/(z**(-3)*z))*z*z)*z)))))))))) assuming z is positive.\nAnswer: z**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6 plus 35637191912?\nAnswer: 35637191909.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0  (b) -12  (c) 4\/3  (d) -3\/8  (e) 26.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*r - r**2 - 10 + 2*r**3 - 19*r to l*r**2 + k*r + h + v*r**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 - 4 + 6 - 7*g + 1 - 6. Let q(h) = 14*h - 34. Let r be q(3). Determine y(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 16 = 2*h + 4*s, -2*h - 5*s = -29. Suppose c + 3 = 0, -h*w + 5*w - 2*c = 981. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.02 * -4.\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 9:51 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of t**4\/12 + t**3\/6 + 2*t**2. Suppose m + 3*m - 5*v = 22, -5*v = 10. Suppose m + 2 = 4*w - 5*c, 2*c - 6 = 0. Give g(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**2 + 7. What is o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -5*g**3 + 32*g**2 - 2*g - 35. List the prime factors of b(-22).\nAnswer: 68737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (85\/17)\/(-1 - -2). Let n(j) be the first derivative of 0*j**2 + 0*j**4 + 4*j + 6 - 4\/5*j**k + 0*j**3. What is the derivative of n(y) wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9564471 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 347, 349, 353, 359, 367, 377?\n\"Answer: a**2 - a + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10000545*q**3 + 5*q - q - 10001154*q**3.\nAnswer: -609*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -5669, -11343, -17019, -22697, -28377?\n\"Answer: -c**2 - 5671*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 57*k**5 + 3926*k**4 - 116763*k**3 + 1002888*k**2 - 2835520*k + 333312.\nAnswer: (k - 8)**3*(k + 93)*(57*k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 371 a factor of 13930308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -263249, -263109, -262883, -262571?\n\"Answer: 43*c**2 + 11*c - 263303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/3 - -6) + (-4)\/(-6). Suppose r*t - t = 363. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 7490096.6 to the nearest 1000.\nAnswer: 7490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -14*w**3 - 14*w**2 + 2*w + 13. Let k(h) = -h**3 - h**2 + 1. Let z(d) = 26*k(d) - 2*y(d). Factor z(c).\nAnswer: 2*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -r**6\/720 + 19*r**5\/240 + 5*r**4\/12 - 19*r**3\/3 + 185. Let g(n) be the third derivative of l(n). Solve g(w) = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17157*d**3*m**2*z - 2*d**3*m*z - 19*d**3 + 208*d**2*m**2 + 3548*d*z + m**2 wrt d?\nAnswer: -102942*m**2*z - 12*m*z - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328 is divided by 177.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -17)*14\/42. Solve 12*i = 11*i + h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88722107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**3 - 5395*p**2 - 10787*p - 5393 = 0. What is p?\nAnswer: -5393, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -62.6  (b) -2\/9  (c) -3  (d) 158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of -17*n**4\/24 - 25*n**3 - 113*n**2 + n. Does 10 divide m(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -79415.950009 + 79401.95. Let g = -14 - n. Round g to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 7*z - 19. Let p(g) = -6*g + 20. Determine 4*a(t) + 5*p(t).\nAnswer: -2*t + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (112\/100)\/(2\/5)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 23*x**2 - 1684*x + 8. Let j(h) = 62*h**2 - 5048*h + 22. What is -8*c(w) + 3*j(w)?\nAnswer: 2*w**2 - 1672*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1331 and -21*11*(38\/(-57))\/((-2)\/(-11)).\nAnswer: 9317","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, f: 4, i: 12}. What is prob of sequence fhfi?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 3*k - 258 = -y, -k = 4. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -41?  (a) 0.6  (b) -0.03  (c) -3\/7  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - -4) + (5 + (-3 - 6) - -21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-732 - -718) + (2 - 15).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9448.846 centuries?\nAnswer: 944884.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 + 3*h - 3*h + (-107 + 190 - 115)*(2*h**2 - 2*h**2 - h**2) - 4*h - 1 + 4*h + h**2.\nAnswer: 31*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7045*t**2 + 40414*t**2 + 57900*t**2.\nAnswer: 105359*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 8, -5776.\nAnswer: -5776, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 4*x - 94. Let f = x + 91. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-36) - 3\/81*-6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 136771080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -5470.714823 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29724\/42 + (-18)\/(-63) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 19 = 3*n, -4*s - 252 = -4*n - 228 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 8:12 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 16. Suppose 0 = -3*v - z*y - y + 20, 0 = -v + 2*y. Let h(b) = v*b - b - b - 3*b. Let x(t) = 5*t**2. What is h(x(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -7) + 1\/(-2)*6. Suppose 2 = -2*z, -o*p = z + 3*z + 10. Let h(b) = b - b**3 + 3 + 3*b - 3*b**2 + 2*b**2. Determine h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 + 5*b - 5. Let f be g(-5). Let l(d) = d + 12. Let o be l(f). Let c(n) = n**3 - 6*n**2 - 6*n + 7. List the prime factors of c(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 590071322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 34, 5, -14 in ascending order.\nAnswer: -14, -5, 0, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*373261.3.\nAnswer: -1866306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3133 - 3136. Let f(u) = 95*u**3 - 35*u - 35. Let w(k) = -8*k**3 + 3*k + 3. What is x*f(j) - 35*w(j)?\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -5228*n - 550. Let f be q(-5). Which is smaller: f or 25589?\nAnswer: 25589","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.03 and 4568145.\nAnswer: -137044.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 0  (c) -5  (d) -7  (e) 75704\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62263 divided by 19.\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 14*g**2 - 9*g + 9. Let c(i) = i**2 - i + 1. Let j(h) = 18*c(h) - 2*q(h). Let z(v) = 2*v. Determine j(z(x)).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2605 and 7985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.987 - -0.89. What is u rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11317 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4674661591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/11  (b) 24  (c) 2  (d) -1.3  (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (83*o + 21*o - 17*o)*(8 + 0 - 3 + 5).\nAnswer: 870*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - (4*sqrt(130) + sqrt(130) + sqrt(130)))*3)\/(sqrt(1000)*-2 + sqrt(1000)))**2.\nAnswer: 637\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, d: 4}. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f - 6. Let w be l(0). Let v(p) = -4*p**3 - 11*p**2 + 11*p - 25. Let s(r) = -2*r**3 - 6*r**2 + 6*r - 13. Determine w*v(m) + 11*s(m).\nAnswer: 2*m**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 17, -51\/128, -127.7?\nAnswer: -51\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -3*g. Let m(z) be the second derivative of 0 - 1\/6*z**4 + 0*z**3 + 0*z**2 + 21*z. Give m(k(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of 2*j**2 + 8*j - 3. Let d be g(-2). Suppose d = -4*x + 230 + 106. What is the lowest common multiple of x and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 24, 5, 2, 0 in ascending order.\nAnswer: -2, 0, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -585 - -1179.1?\nAnswer: 594.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2604883.\nAnswer: 61, 42703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 9, x: 7}. Give prob of sequence jxxj.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-16)\/(-24) + (-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -w**4\/8 + w**3\/6 - 4*w**2. Let x(f) = -4*f + 2. Let o(g) = 3*h(g) - 2*x(g). Let c(q) = 5*q + 2. Determine c(n) + 3*o(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.5, 0.5, -13, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -33. Suppose 2*i - 15 = -1. What are the prime factors of ((-4)\/i)\/(z\/56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -50?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -12*k - 2. Let g(r) = 35*r + 7. Let a(c) = -5*g(c) - 14*u(c). Let o(d) = -7*d - 6. Let i(l) = 5*a(l) - 6*o(l). Is 10 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*t - 36*t - 1026 - 10*t - 1040 + 2093)*(-1 + 2*t**4 + 1).\nAnswer: -104*t**5 + 54*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 4*q**2 - 12*q + 3. Let a be u(6). Suppose 5*p - 20 = a*s, 2*p - 5*s + 2 - 29 = 0. Let h = 25\/2 - 13. Put 2\/7, h, p in increasing order.\nAnswer: h, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 7*v**2 + 6. Let x be i(7). Let r(t) = t - x + 17*t - 9*t + 11*t. Let g(s) = 7*s - 2. Give 14*g(j) - 5*r(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**4\/3 + 68300*b**3\/3 - 259168144*b**2 + 2950629273908*b\/3 - 2949851837774\/3 = 0. What is b?\nAnswer: 1, 11383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, x: 3, c: 1, j: 2, s: 3, i: 1}. What is prob of picking 1 i and 2 x?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/144 - (-6)\/(-16))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 11:05 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20212222022 + 10?\nAnswer: -20212222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 12:45 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 2) + -2 + 7. Suppose -o - m*v = -10 + 1, 2*v = 3*o - 27. Let y = o - 13. Put -1, y, 3 in descending order.\nAnswer: 3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 11*x - 78. Give q(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 212, 204, 182, 140, 72?\n\"Answer: -o**3 - o**2 + 2*o + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2)*(-x + x + 2*x) + x - 11*x - 2*x + 2*x + 2*x - 5*x + (123*x - 66*x - 55*x)*(2 + 1 - 2) to the form z + b*x and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1566 and 2?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w*w**(-5)*w)\/w))\/w)**(-47)*w*w\/w**(1\/10)*w*((w**(-3)*w*w*w)\/w*w)\/w*w assuming w is positive.\nAnswer: w**(-1851\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w**2 - 2*w - 1. Suppose -5*t = -6*t + 2. What is the remainder when v(-1) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/25, 13, -1\/11, -4\/7, 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 (base 5) in base 15?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12.7 + -0.7. Let g = 13958 - 13946.033. Let b = g - c. What is b rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*p**4 + 173*p**2 wrt p?\nAnswer: 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - -27. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + -1*3*sqrt(117) + sqrt(117) + sqrt(117) - sqrt(117))\/(sqrt(18)\/(2*sqrt(2)) - sqrt(9)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-14)*m*m*m**(-38)*m*m*m)\/(m**(-34)*m*m**(-3\/13)\/m) assuming m is positive.\nAnswer: m**(-166\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 4 + 10 + (0 - -1). Suppose 4*g = 4*o + 5*g - t, o + g - 1 = 0. Suppose 4*c = -o*s + 1092, c = -3*c - 3*s + 1093. Is 40 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(5) + 1 + sqrt(25)\/(sqrt(15)\/sqrt(3)) + -4)*6.\nAnswer: -18 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5139, 10311, 15473, 20619, 25743, 30839, 35901?\nAnswer: 40923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8741?\nAnswer: 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.1, -3\/4, -6287, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 20 - 118 = 4*s, 4*s = -2*h - 126. Let g = -3 - s. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/1271193 and -8\/363.\nAnswer: 13983123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 10*n**2 + 12*n + 6. Calculate w(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-3) - (-897)\/(-46)*2\/45. Put -0.5, -1.3, l, -2, 7 in descending order.\nAnswer: 7, l, -0.5, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13764919 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 2. Let c = k - -4. Let x be 22\/(-10) + (c - 0). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 1:25 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10750874 is divided by 11610.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 10*v - 29. Suppose 0 = v*x + 245 - 905. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5702 + 3161. Let v be ((-2)\/(-3))\/((-14)\/x). Let m = v + -17. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 633089586 rounded to the nearest 100000?\nAnswer: 633100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 61818477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 + -62. Let f = -46 - n. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*-1*sqrt(833).\nAnswer: 1 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 906612000 rounded to the nearest one million?\nAnswer: 907000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 181 + -541\/3. What is the nearest to l in 0.5, -0.4, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16754 + 3104?\nAnswer: 20858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 4)*(-x**2 + 2*x**3 + x**2) + (-13*x**3 + 18*x**3 - 8*x**3)*(-4 + 3 + 5) - 3*x**3 - x**3 + 2*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, s: 2, e: 2, u: 3, y: 2, t: 2}. What is prob of sequence sksu?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (10 - 2 - 15 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 974, 989, 1006, 1025, 1046?\n\"Answer: s**2 + 12*s + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5627.381 + 864.624. Let y = 6473 - q. Let n = 19 + y. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2275, -4570, -6875, -9196, -11539, -13910, -16315?\n\"Answer: -t**3 + t**2 - 2291*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 265, 136, 15, -92, -179, -240?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 318\/23  (b) -2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 588229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.036245 to 3 dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, 1459\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 12) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + i. Suppose -5*b + i*b - 15 = 0. What are the prime factors of (2\/(-1))\/(b\/9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 4*n**2 + 3. Suppose 6*s - 15 = 3*s - 3*m, 0 = -5*s - 3*m + 35. Suppose s - 30 = -5*l. What is j(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/17)*h**(2\/7))\/(((h**(-4)\/h)\/h*h)\/h**0)*(h**(3\/8)*h*h**(-5))\/(h**(-1))**(1\/7) assuming h is positive.\nAnswer: h**(1829\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 2*c - 256, -5*c + 3 = 23. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -367 divided by 249497.\nAnswer: -367\/249497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45 - 38. Suppose 7 - i = -5*o. Let -1\/2*c**3 - c**2 - 1\/2*c + o = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-2) + -1)*-14. Let h(r) = r**2 - 5*r - 3. Calculate the remainder when 19 is divided by h(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5460, -10104, -14752, -19404, -24060, -28720?\nAnswer: -33384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -334*h + 48*h = -5720 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 253 + -103 + -75 + -123?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 10*p + 19. Let t be o(11). Suppose -t*w - 5 = -253. Let s = w + -22. Calculate the remainder when 26 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 AM and 6:27 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d4 - 6b422?\nAnswer: -6b22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 3. Calculate the remainder when 9 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 take away -1.398517?\nAnswer: 8.398517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10230 + 3?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 104 and 124423.\nAnswer: 995384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 0)*((-2 - 2 + 3)*(-4*k + 5*k - 2*k) - 8 + 8 + 15*k) + (-3*k + k + 3*k)*(31 - 22 - 14).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 462273151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -332 (base 4) to base 5.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**4 - 2*d**4 + 2*d**4 + (-5*d + 5*d - 5*d**2)*(3 + 2*d - 4*d + 0*d)*(7*d - 5*d + 4*d).\nAnswer: 62*d**4 - 90*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12627\/(-1656)*1\/(-1) + (-8 - 0)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*p + 56 = -115. Solve p*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 1461181.413886?\nAnswer: -1461181.013886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 13*f. Suppose 4*g - 4 = -f*g - 2*v, 0 = 5*v. Let s be 1\/(-5)*15\/12. What is the closest to g in -2\/11, -5, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 12*n. Solve -4*o - 4 = -4*x, -2*o + n*x - 7 = -3*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-160)\/(-9) + 6\/27. Let n be 4\/w - (-160)\/90. Suppose -p = n*p. Solve p = c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 458\/7557*-11*6\/(-36). Factor -4\/3*i + a*i**2 + 11\/9.\nAnswer: (i - 11)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g**2 + g. Let p(k) = 106*k**2. Determine p(m) + 7*s(m).\nAnswer: 78*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 123 and 1454847.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 6. Suppose r - 6 = -6*y + y, -l*r = -3. Calculate the remainder when 1 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 336, -4, 23 in ascending order.\nAnswer: -4, 23, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1387 divided by 4\nAnswer: 1387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 499986558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 10. Let l(b) = -b**2 - 3*b + 9. Let s be l(-4). Suppose w - s - 5 = a, -5*w = 2*a - 15. What is the nearest to 0.01 in a, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 36*y. Let g(k) = -4*k**2 - 6*k + 7. Let t be g(1). Let r(b) = -7*b. Determine t*n(m) - 16*r(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2127556 divided by -2127556\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(1331) + 1)*4 + (sqrt(1331) + -2 + (sqrt(1331) + 0 + sqrt(1331) - sqrt(1331)))**2)*-4.\nAnswer: -1056*sqrt(11) + 127968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h - 82. Let y(a) = a**2 - 28*a + 15. What is y(t(b))?\nAnswer: 4*b**2 - 384*b + 9035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 30 = -3*n. Let i(j) = -j**3 - 5*j**2 + 7*j - 1. Give i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3597626 from 62586.6.\nAnswer: -3535039.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 351.4596 grams?\nAnswer: 351459600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -79 - 239. Let s(l) be the first derivative of 2*l**5 - l**2 - 159*l**4 + a*l**4 - 2 - 4*l**5. What is the second derivative of s(o) wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5067401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 - 4. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5364\/11 + -488. Calculate the common denominator of 1595\/(-225) + (-24)\/(-120) and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 1071*g + 98. Let c(q) = -4*q**2. Calculate j(c(b)).\nAnswer: -4284*b**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-6 - -6)) + (-36 - -4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27731074.4 less than -0.3?\nAnswer: 27731074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -159 + -208 + 236?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 10, -11 = 7*v - 6*v - 3*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 44 = 2*a. Suppose 4*v - a = -5*q, -q + 17 = 3*v + q. Is v not equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + (-1 + 3 + 18 + -19 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1035\/(-2277))\/(2*25\/10)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1)*f)**(-23)\/(f**2\/(f\/(f*f*f\/(f*f**(-8\/5)*f)))))**(-20) assuming f is positive.\nAnswer: f**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-6 + 4)) + -3 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ufuqfqqfuqquq. Give prob of sequence qu.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 780 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -30*(-2 - (-16)\/10). Calculate the greatest common divisor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**3 + 7056*m**2 + 192290*m - 1137600 = 0 for m.\nAnswer: -32, 5, 3555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -d - 3, 19*h = 2*d + 16*h + 9. Let c(j) be the second derivative of d*j**2 + 0 - 10*j + 1\/3*j**3. Let w(g) = 23*g. Calculate w(c(m)).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3784 and 1228?\nAnswer: 1161688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102958 (base 11) to base 14.\nAnswer: 44121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 45, 66, 87, 108, 129?\n\"Answer: 21*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 7:25 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -212, -765, -1842, -3617?\nAnswer: -6264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/((-2496)\/267) - (-1)\/(-8)*-14.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 0 + 0 + 2*y. Let w(u) be the second derivative of -u**6\/240 - 3*u**4\/4 + 35*u. Let z(m) be the third derivative of w(m). What is n(z(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3))\/((-263514)\/(-21366)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*w - 21*w - 28*w)*(5 - 5 - 12*w + 25*w) + 3 - 2*w**2 - 3 + (1 + w - 1)*(w + 4*w - 6*w).\nAnswer: -549*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/((-12)\/(-40)))\/((-4)\/12). Solve i*a - 11*a + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j - 2210*j**2 + 4*j + 4 - 6*j + 2203*j**2. Let f be (-886)\/(-18) + (-2)\/9. Let h(a) = 84*a**2 - 49. Determine f*s(n) + 4*h(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2715 divided by -15?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39*c + 35*c**2 + 65*c**2 + 50*c**2 - 133*c**2)*(0*c + c + 3*c).\nAnswer: 68*c**3 - 156*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3875 + 2750.4. Let r = 929 + i. Let w = r + 179. Round w to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 7, v: 6, n: 1, b: 6}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -53*b + 1282. What is i(35)?\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 - 253. Let x = b + 202. Solve x*a + 3 = -9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(-1\/6))\/m*m)\/m**(-9))\/((m*m\/m**(-11))\/m*m**12) assuming m is positive.\nAnswer: m**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8896, 17786, 26678, 35572, 44468, 53366, 62266?\nAnswer: 71168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.24 * 16741.\nAnswer: 204909.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does -45 = -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20 - -14. Let b(k) = 12*k**2 + 6*k - 5. Let s be ((-5)\/(-10))\/(4\/(-120)*-3). Let o(u) = 12*u**2 + 5*u - 4. Let t(r) = j*o(r) + s*b(r). What is t(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -39*v - 1043. Determine q(-25).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/(-6))\/((-62)\/279). Let c be (-3)\/(-5) + 66\/15. Solve -13 = -c*b + k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2 = -2*i - 10, 4*i = -t - 14. Let z(w) be the first derivative of w**2\/2 + 4*w + 1. Let x be z(i). Which is bigger: x or -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.7  (b) -0.2  (c) 91  (d) 2313.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8412619 to the nearest integer?\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 102546535 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -601*o**2 - 756*o**2 + 1106*o**2.\nAnswer: -251*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -904 + 908. Suppose 3*h - y*l - 136 = 0, -5*h - 4*l = -2*l - 244. What is the highest common factor of 120 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14 - 8) + (-90)\/(-6). Let h(b) be the third derivative of b**6\/120 + 7*b**5\/60 - b**4\/24 - b**3 + b**2. Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 0, -5, 108\/3415?\nAnswer: 108\/3415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4301*y - 4300*y = -11, -5*y - 46 = -9*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 93363 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -i**6\/120 + i**4\/24 + 2*i**3 + 5*i**2. List the prime factors of z(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8\/(-6))\/(-1))\/((-194)\/97).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.06 - -2.06. What is the smallest value in 6, 1\/3, g, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 6:08 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6356, -5015, -3678, -2345, -1016?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -249604.1 + 1.5453\nAnswer: -249602.5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*z = 657. Let o = -214 + z. Sort 7, 0, o in descending order.\nAnswer: 7, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*t + 1 - 17*t**3 + 2*t + 5*t as n + i*t**3 + p*t**2 + c*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 174258 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 z when four letters picked without replacement from ffzzfffzffzfffzzzff?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of 5*d**6\/6 - 6*d**5 + 10*d**4 + 80*d**3\/3 - 120*d**2 + 160*d + 60. Solve g(i) = 0 for i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-6)*(-169539)\/(-62) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than -0.2564204?\nAnswer: -0.6564204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-12 - 7 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/2  (b) 0  (c) 14  (d) -175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211513 (base 6) to base 4.\nAnswer: 10031211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -767*f*g**2 - 6173474*f - 683*g**3 wrt g?\nAnswer: -1534*f*g - 2049*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3306*m**2*w**2 + 12689*m**2 + 12917*m*w**3 - 6*m + 90 wrt w?\nAnswer: -6612*m**2*w + 38751*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 7:57 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 617*i**2 - 12073*i - 72. Give m(-19).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000165094 to six decimal places.\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pyd when three letters picked without replacement from pyyyjjyddpp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**4\/9 - 11020*y**3\/3 + 1309802*y**2\/3 + 7957984*y\/9 + 1331840\/3 = 0.\nAnswer: -16648, -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(-1\/22)*y\/(y**31\/y) assuming y is positive.\nAnswer: y**(-615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-54)\/45)\/((-16)\/5 - -3). Let f = d + 2. Solve 0 = n + n + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c*i*t**3*u + 3*c*i*t**2*u + 5*c*t**3*u**2 + 2*c*t**2*u**2 - c*t**2*u - 2*i*t**3 + 10*i*t**2 - i*t*u wrt t.\nAnswer: -6*c*i*u + 30*c*u**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 55 - 61. Which is smaller: -396 or o?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*d**5 + 5200*d**4 - 21100*d**3 - 229200*d**2 + 504000*d + 3006720 = 0. Calculate d.\nAnswer: -1044, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1043, 3789, 8285, 14537, 22551, 32333, 43889?\n\"Answer: r**3 + 869*r**2 + 132*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14954 - -14954.04. Which is the nearest to 0.16?  (a) -0.5  (b) w  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -1478*y**3 + 7*y - 7. Let q(d) = -739*d**3 + 3*d - 3. Give 3*j(c) - 7*q(c).\nAnswer: 739*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 10:44 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -699*w**2 + 13*w - 15 wrt w.\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -15 - -11 - (-18)\/2. Suppose 3*v - q*j = -0*j + 21, 0 = -3*v - 5*j + 21. What is the greatest common factor of 14 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 1. Let h(i) = 28*i - 3. Calculate -2*b(j) - h(j).\nAnswer: -28*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 2 k, and 1 w when four letters picked without replacement from jkkkwjwjkjkhwkj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71058 - -199758. Round g to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-16))\/3*18\/(-27)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 590, -4, 1.4, 6?\nAnswer: 590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -y + 4*y - 60, 0 = -2*h + 4. Let q(x) = 34 + 2*x - 16 - y. Let b(z) = 14*z**2 + 1. Determine q(b(f)).\nAnswer: 28*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(190)\/((sqrt(70)*-2)\/sqrt(7)).\nAnswer: -sqrt(19)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o + 2*b - 4045 = 7*o, -b = 2*o - 2697. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 56 - -30 - (-3 - (-1 - -4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92 divided by 46.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1366143?\nAnswer: 3, 455381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-264)\/154)\/(-1)*21\/30*2?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138, -129, -116, -99, -78?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6442 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 16) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -3*p - f + 5*f, -3*f - 7 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 14 + 6. Let p = b + -4. Let s(i) = i**3 + 6*i**2 + 5*i + 1. Let w be s(-5). Solve -3*c + w - 7 = p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a85 - 16881?\nAnswer: -159b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from jljjjjjjjllllulruyl.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of 11*m**7\/189 + 4*m**6\/5 + 166*m**5\/45 + 16*m**4\/3 - 64*m**3\/27 + 261*m. Find w, given that s(w) = 0.\nAnswer: -4, -2, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.8 - 2. Let v = -56 + 51. Which is the biggest value?  (a) -2\/13  (b) j  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 181.3 - 181. Let i = u + -0.7. Sort 1\/4, i, -1, -1\/2 in increasing order.\nAnswer: -1, -1\/2, i, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(28) + -1)**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - u = 41 - 34, -17*u + 21 = -3*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1347 - 736. Suppose 0 = -z + 1, -z - 2*z - d = -2*o. List the prime factors of o.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*c - 100 = -4*m - 11*c, 5*m = -2*c - 40 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15\/(-3)*6\/5. Let p(q) = q + 1. Let t be p(-5). Is g greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 116\/14 + -32 + (9 - -15). Let w = 17.5 + -18. Which is the closest to p?  (a) w  (b) 0.7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -6*c**2 - 1759*c - 12306. Calculate h(-286).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 270*j. Let h(y) = -y**2 + y - 2. Let v(r) = -5*r**2 + 3*r - 6. Let s(o) = -3*h(o) + v(o). Give b(s(c)).\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - -11)*14\/(-21). Let n be g\/(-1)*16\/24. Suppose -18 - 14 = -2*o - 3*d, n*o - d - 92 = 0. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 673 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -5, -1.34, 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 826.9797 millimeters in kilometers?\nAnswer: 0.0008269797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 119329, 238659, 357989, 477319, 596649, 715979?\nAnswer: 835309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -dd074 (base 14) in base 7?\nAnswer: -4356204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(17)*-3 - (3 + -2*sqrt(17)).\nAnswer: -7 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -71, -72?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from arararaaaaa. What is prob of sequence aa?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {e: 2, v: 7, f: 1, j: 1, q: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and -6367162.\nAnswer: 38202972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -0.3, 0.087, -2.6, -0.2, -4, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 10*k + 10, 0 = l - 2*k - 7. Solve -y + l = 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2*c - 6. Suppose 4*a + 8 = 0, -4*a + 10 = -3*n + c*n. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (16 - -3 - (-2)\/(-2))*1. Let q be 31\/g + 10\/(-45). Which is the third smallest value?  (a) 2\/11  (b) -4  (c) q  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -16 - (0 + -2) - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(816\/(-9)))\/((-2)\/8*1)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*r = -14, -3*r + 43 = 5*o - r. Let d(p) = p**3 - 12*p**2 - 6*p + 88. Calculate the remainder when d(12) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 514206 a multiple of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-588)\/(-112))\/(549\/6)*(-2)\/(-21)*-6\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -0*n. Suppose -80 - 1 = -4*w + 3*p, n = -4*w - 5*p + 57. Let m be (-18)\/(-81) - (-14)\/w. Are m and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**4 + 555*x**3 + 11895*x**2 - 204655*x.\nAnswer: 5*x*(x - 11)*(x + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 4 = 4*q, 4*q + 7 = q + 4*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -93*x**2 - 7*x + 4. Suppose 3*f - 12 = 5*f. Let s be d(f). Let i be (-4)\/14 + s\/(-91). Solve 2*r + 3*r + 4*n = -i, n = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -6. Let o = y + 8. What is the remainder when 45 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/3104 and 39\/82.\nAnswer: 127264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -0.5  (c) 2\/7  (d) -2\/3  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -77 + 75. Let v be ((1760\/2)\/t)\/(10\/(-10)). Suppose -5*h + 0*h + v = 0. What is the greatest common divisor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(245)*-2)**2 + -1.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 220\/(-99) + (-4)\/(-18). Let x(n) = -n - 10. Let a(q) = 6. Let y(k) = v*a(k) - x(k). Give y(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -114 - -154. Calculate the smallest common multiple of 5 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of 3*v**5\/2 + v**3\/3 - v**2\/2 - v. Let s be q(2). Is (-2)\/10 - s\/(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 511 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2569, 2571, 2573, 2575, 2577?\nAnswer: 2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + -2 + sqrt(25)\/(sqrt(5) - (sqrt(5) - sqrt(25)\/sqrt(5))))**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10a5 - -aa?\nAnswer: -aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40 - -23. Let w = 54.6 - 38. Let i = w + c. Put -0.3, i, 0.1 in descending order.\nAnswer: 0.1, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -4*n**3\/3 + n**2 + 7. Let q(d) = 21*d**2 - 10*d. Give 11*l(t) + 2*q(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -8.91. Sort -2, 1, l in descending order.\nAnswer: 1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42.987 + -43. Let f = 3.013 + g. Which is the closest to f?  (a) 0  (b) -0.1  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (4 + -1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -123771, -247543, -371319, -495099, -618883, -742671, -866463?\n\"Answer: -2*k**2 - 123766*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26557 by 212.\nAnswer: 26557\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 244 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-1\/4)*j**(1\/10) assuming j is positive.\nAnswer: j**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 542718043 to the power of 1\/2, to the nearest integer?\nAnswer: 23296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/1662 and -71\/22.\nAnswer: 18282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of 5*s**3\/6 - 31*s**2\/2 - 86*s. Let c be (-10)\/(-15) - (-16)\/(-6). Let p(w) = w - 6. Calculate c*y(d) + 11*p(d).\nAnswer: d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1357.1826 + -0.0174. Round r to the nearest 10.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.09 + -0.14. Let k = s - -0.263. Let i = k - 7.033. Which is the closest to -0.2?  (a) 2\/7  (b) i  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 77*h + 1475. Determine w(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**4 + 10*g**4 - 6*g**4)*(4 - 4 - 3 + g).\nAnswer: g**5 - 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1.3  (b) 503  (c) 263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4855038\/13 or -373463?\nAnswer: -4855038\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 9*w + 316. Let h be 198 + -198 + (2 - 37). Give k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(5\/3)*n**(-9)*n*(n**(2\/9))**(-21) assuming n is positive.\nAnswer: n**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 46, 113, 210?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.21 - 3.21. What is the nearest to 1 in x, -7\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqquqlqyxl. What is prob of picking 1 l and 1 u?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*4\/(-192)*(-51)\/(-17)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0224?  (a) -0.0762  (b) 4  (c) 5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 18. Let z be f(10). Suppose 0*g + g = 4*s - 4, 0 = -3*g + 2*s + z. Let p be 49\/14*8\/14. Solve -p*u + 10 = g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 730 = 3*g + 2*g, 4*g - 590 = 2*k. Suppose -6*t = -4*t - 4. Suppose t*d - d = -2*p + 23, 1 = p. What is the highest common factor of d and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -35*c**3 - 2*c + 18*c**3 + 1 + 1 wrt c.\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*5*-1*sqrt(84)*-2)\/(-1*-1*sqrt(192)*2).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m + 6 = -3. Let q be (-60)\/8*(-3 - m). Suppose q*c = 19*c - 140. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 2) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 14504\/28*(-1)\/2*-73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q - 5*q + 8*q)*(-3*q**3 - 69*q**2 + 69*q**2 - 16*q).\nAnswer: -33*q**4 - 176*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y. Let q be x(-2). Let p be (3\/q)\/((-3)\/(-6)). Suppose p*h + 13 - 163 = 0. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1568)\/64 + (715\/(-78)*9\/(-15) - 7)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 2*i - 14, -i - i = l + 5. Let u be (l\/2)\/(3\/4). Let j be (u\/(-4))\/(1\/12). Solve -2*w + 3 = -v, -5*v + 2*w + 3 = -j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r + 24. Let y be h(-19). Solve 2*a = -4*f - a + y, 0 = -2*f - 4*a + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/12 + (-21)\/4. Let j be (-2)\/3 + 1 + (-118)\/r. Suppose 0*b - 3*k = 2*b - 1603, 0 = -4*k + j. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36*u - 801 + 801 - 2*u - 3 + 3 + (0 - 1 + 3)*(-u + u - u) - u + 3*u - u to the form a + z*u and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 11:46 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f. Suppose -5*y = -0*y - 10. Suppose 0 = r - 2. Let c(m) = y*m**2 + 7*m**r - m + m. Give u(c(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 25152288 and -150.7842.\nAnswer: 25152137.2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 315 and 415485?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.959677 weeks to hours.\nAnswer: 1505.225736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -5\/9  (c) -0.4  (d) 62  (e) 13  (f) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 1:32 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 2 = 2*b - 6*b, 2*j + 2 = 3*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v + 3. Let g be h(-5). Let s = 10 - g. Let b(y) = 2*y**s - y**2 + 0 - 2*y**2 - 1. Calculate b(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 84 - 86. Which is the nearest to 1?  (a) -4\/9  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 + 1624*q**2 - 156448*q + 306432.\nAnswer: -4*(q - 252)*(q - 152)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 255958 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.328991 rounded to 2 dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(2)*-2 + -5 + -1.\nAnswer: -7 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -357 - -505. Sort t, -4, 0.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 4*l**5 + 5*l**4 - l**3 - 2*l**2 - 3*l - 3. Let s(c) = c**4 + c**3 - c - 1. Let w(t) = -3*s(t) + y(t). Suppose w(o) = 0. Calculate o.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-17)\/1122)\/(6\/(-66))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 48 + 52. Let v(k) = -k + 5. Let m be v(6). Let s be ((-4)\/m)\/(1\/5). Calculate the greatest common divisor of s and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -6*s - 2. Let k be v(-3). Let l = 8 + -5. Suppose -w = -3*i - 2*i - 4, -l*i = -5*w + 20. Solve -k = -4*h + w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1203 + 210?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/7)\/((h\/(h*h**(-1\/2)\/h*h*h*h*h)*h)\/h)*((h**(3\/5)*h)\/h)\/h**4)\/((h**(1\/2)*h\/(h\/((h\/(h**(-2\/9)\/h))\/h))*h)\/h**(17\/3)) assuming h is positive.\nAnswer: h**(599\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -0.5  (c) 512\/9  (d) -162  (e) 4  (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1142 (base 11) in base 3?\nAnswer: -2001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/19 >= -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(5 + sqrt(128)*1*3 + -1*-2*sqrt(128))*2)**2.\nAnswer: 1600*sqrt(2) + 12900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -1.7, 78, -2, -3, 6?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -182c + 1b2?\nAnswer: -164a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(324)\/(sqrt(24)\/sqrt(2)) - (sqrt(300)*2 + sqrt(192)\/sqrt(4))**2.\nAnswer: -1731 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**5*y*y**(-18\/11)*y*(y\/y**(1\/4))**(-33))**28 assuming y is positive.\nAnswer: y**(-5971\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 5. Calculate the smallest common multiple of (-4)\/(-4 + 3 - (-9 + 9)) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 + 6 - 1)\/(57\/114). Let k = 6 - 4. Let -61*m**k + 17*m + 33*m + 69*m**2 + l = 0. Calculate m.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5213816759 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -5. Let s be 12*3\/2 - (-1 - -3). Suppose -z - 2*g + 18 = 0, -4*g - s - 18 = -5*z. Solve -2*u - 2*w = z, 5*u = -w + v*w + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(2\/(15 + -3)). Solve -3*p = -g - 8 + 19, 3*g = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*v + 52*v = 72*v + 462. Calculate the highest common factor of v and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7350938 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -1807 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 73578.18ml?\nAnswer: 73.57818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 2*c**2 - 4*c + 1. Let k be j(-3). Calculate the common denominator of (-1)\/k*225\/12 and 81\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (32 + -12 + -7 + -1 - 71)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2376 and 399.\nAnswer: 316008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1677.0411s to minutes.\nAnswer: 27.950685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-99.2.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dccccdbcbccckddd. Give prob of picking 1 d and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1262081531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = 2*h. Suppose -h*j = 4*b - 122, -6*j + b + 197 = -3*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of -w**5\/90 + 119*w**4\/12 - 356*w**3\/9 + 12*w**2 - 193*w + 2. Determine n so that i(n) = 0.\nAnswer: 1, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, f: 2, w: 2, x: 2}. Give prob of sequence ff.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-190)\/912)\/((-20)\/16). Let y(s) be the second derivative of -3\/80*s**5 - 1\/8*s**3 + 5*s + 0 + 1\/4*s**2 - q*s**4. Factor y(x).\nAnswer: -(x + 1)*(x + 2)*(3*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-6)*(372\/(-217))\/((-4)\/98). Let t(y) = -y**2 - 15*y - 34. Determine t(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6348 + -6251. Is -0.7 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 3*r + 2. Let o be c(3). Let v(q) be the first derivative of -q**4\/4 + q**3 - 2*q + 15. Determine v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2689 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u + 8*u + 15*u + 0*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 27*f**2 + 19*f + 14. Let t(j) = 3*j + 2. Let w be t(4). Let r be q(w). Let z = -8042 + r. Round z to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18116.\nAnswer: 2, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**2 - 15 - 4 + 19.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of g**4\/6 + 2*g**3\/3 - 10*g**2 - 23*g. Suppose 77 + 7 = 3*b. What is the lowest common multiple of f(-5) and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 12:33 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11810740 at least as big as 47242961\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73456032*o**5 + 2027172*o.\nAnswer: 1469120640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -46*a - 198 - 170 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 10*m - 7. Let u be c(11). Suppose -j = -u - 3. What is the first derivative of j - 5 + 4 - 5*a**3 wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 357 - 294. Let o = 217 - u. Which is the second biggest value?  (a) o  (b) -118  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**0)**29*m**7*m\/(m*m\/(m\/(m**(2\/7)\/m))) assuming m is positive.\nAnswer: m**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 227410*i**2 - 454822*i**2 + 227407*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -840*d + 183*d + 234*d + 228*d.\nAnswer: -195*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 - 11110110100001110?\nAnswer: -11110110100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from kdtqktkdkdq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = f + 6, -5*f - 3*t + 0*t = 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/96)\/((50\/(-9))\/10).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 355658*i - i**3 - 355658*i + 4*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 23 + 11 - 17*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 - -57. Suppose -p + 8*p + 35 = j. Which is the biggest value?  (a) 1\/3  (b) p  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-20)\/(-100) + (-2851)\/680 - -4. Is 0 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -162 times 59194.4\nAnswer: -9589492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((-3*(sqrt(209) - (sqrt(209) - (1*sqrt(209) - sqrt(209)))) - sqrt(209)) + sqrt(209))*-4)\/(1*(-2*sqrt(1100) - -1*(sqrt(11) - sqrt(11)*-1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.342 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-15239 - 2620*x**2 + 15239 + 19044*x**2).\nAnswer: -32848*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -26, -53, -88, -131, -182, -241?\n\"Answer: -4*r**2 - 15*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5, -69, -133?\n\"Answer: -64*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 5:17 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17384 + -35140904.\nAnswer: -35158288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -347345456?\nAnswer: -347345457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1961549 to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 257508491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13327 (base 8) in base 2?\nAnswer: 1011011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/5*d**2 + 4\/5 + 0*d - 1\/5*d**3.\nAnswer: -(d - 1)*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3702644 less than -230038286?\nAnswer: -230038285.6297356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12844 - 12843.99281. What is d rounded to four dps?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, 0.2, -0.152 in increasing order.\nAnswer: -39, -0.152, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -223638*k - 230228.\nAnswer: -223638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 121, -4\/7, -0.1, -6894 in decreasing order.\nAnswer: 121, -0.1, -4\/7, -6894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 14*u**2 + 3*u - 31. Let q(d) = -16*d**2 - 3*d + 36. Let j(a) = -6*q(a) - 7*r(a). Suppose 13 - 3 = -3*c - l, -2*c - 5 = -l. Calculate j(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(((-2)\/(-12))\/(5\/30)). Sort a, -5, -55 in descending order.\nAnswer: a, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -46 + 136\/3*q + 2\/3*q**2.\nAnswer: 2*(q - 1)*(q + 69)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p. Let f(d) = -d**2 + 3*d + 1. Let m(b) = -f(b) + w(b). Let i be m(5). Let x(t) = 3*t - i*t + 2*t. Let g(o) = 2*o. What is x(g(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9967, 9982, 9997?\n\"Answer: 15*u + 9952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v. Let c(t) = -4*t**2 - 6*t. Let g(u) = c(u) - 5*w(u). Let r(y) = 7*y**2 + 3*y + 1. Let m(l) = 5*g(l) + 3*r(l). What is the units digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -759752200 smaller than -759752200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -17. Let y be (-82)\/z + 5\/(-25). Does 26 divide (-314)\/(-4) + (-4)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4148981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 5*n**2 - 36*n + 86. Let s be f(3). Put -3, 244, 0, s in decreasing order.\nAnswer: 244, 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/4102426 and -77\/68260?\nAnswer: 41024260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000669444 rounded to seven dps?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*h**6 + 2*h**4 + 38*h**2.\nAnswer: -2640*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -4*k - 5 - 285, -296 = 2*u - 2*k. Let v = -83 - u. Suppose 7*w - v = 4*w - 5*j, 2*w - 16 = 2*j. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, f: 2, p: 1, a: 1, z: 2}. What is prob of picking 1 p, 1 z, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, -3, -1273643.\nAnswer: -1273643, -3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 6:55 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*o**3*y - 14294689*o*y + 142899151*y wrt o?\nAnswer: 27*o**2*y - 14294689*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 117 = 2*l + 4*d + 19, -20 = -2*l - d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**3*u + 2*l**3 - 68*l**2*u - l**2 - 10*l*u + 2*l + 9*u - 1 wrt l?\nAnswer: 6*l*u + 12*l - 136*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 105*k - 105. Let q be w(1). Solve q = -12*m - m - 65 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1016\/15 + -68. What is the nearest to 1 in -1\/4, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201 + 102?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6213503738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.6, -1, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 8 = -0. Let l(j) = -j**2 + 2. Let a(u) = 13 + 6 + 2 - 22. What is f*l(y) - 4*a(y)?\nAnswer: -y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2869 + -1960. Let d = -9109\/10 + g. Calculate the common denominator of d and -44\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of g**5\/20 - g**4\/12 + g**3\/2 + 2*g**2. Let i(a) = -181*a + 33. Let r be i(-4). Suppose -r*v = -753*v - 8. What is j(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19412 and 1493068?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -6 + 2 + 49*w - 50*w. Let f(t) = 1. What is -6*f(g) - 2*u(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r - r + 2*r. Suppose 2*f - 2 - 2 = 0. Let l(c) = 3*c - 6*c - 3*c**f + 3*c. Calculate l(n(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 5*s - 9. Let x be (-1)\/((-4)\/(2 + 62)). Let c = x - 11. Calculate the remainder when a(c) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 212 + 2111?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.5 - -2. Let n = 0.14 + 4.16. Let t = n + -0.3. Which is the third smallest value?  (a) t  (b) k  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4430, 4442, 4454, 4466, 4478?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 290634931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from jjjqqq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 291 and 7566.\nAnswer: 7566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -9322?\nAnswer: -9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29222570.979031143 + -0.020968857. Let m = z - -29222567.99999992. Let s = m + 3. Round s to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4 - 10 = 2*u, u = -1. Let r(o) = 4*o**2 - 1. Let t be r(1). Solve h*k + 4*n - 1 = t*k, -5 = -5*k + 3*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210 = -31*b + 7 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 57 - 55. Suppose 0*v - 4 = s*v. Let u = -5\/4 + 3\/4. Put v, 3, u in decreasing order.\nAnswer: 3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-551)\/29*(-1)\/(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -r**2\/2 + 5*r - 219. Let k(p) = -p + 6. Determine 7*j(y) - 6*k(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1024000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8224 times 2\nAnswer: 16448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 - 69. Let d = y + 34. Suppose -6*b + 5*b - 13000 = d. What is b rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 + 92 - (-13 + 3)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kgggggakv. What is prob of picking 1 a, 1 g, and 1 k?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1932 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.9 + -1.1. Let l = 1 - v. Let t = 0.1996 - l. What is t rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19.4 + -19.8. Which is the closest to 1?  (a) 2\/13  (b) 5  (c) m  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 213336 and 11286?\nAnswer: 133761672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 7:10 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + y = 4. Let i be (3\/(-3))\/(y\/(-4)). List the prime factors of i\/(-3*2\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h + 4*h - 18*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 516010 (base 11) in base 14?\nAnswer: 1779d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 7) + -1 + 1. Let b be 18\/8*32\/12. Let f(x) = 2*x - x**2 + 0 - 4*x - b - 5*x. Give f(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -202 (base 8) to base 11\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 292\/(-40) - (28\/(-70) - (-198)\/(-30))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -0*z + 3. Sort z, -2, -5, -6 in increasing order.\nAnswer: -6, -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 102968 and 2401387?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 386323 and 5.\nAnswer: 1931615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 380 - 380. Factor 1\/4*l**5 + 0*l**3 + 0*l**2 + 0*l + t + 1\/4*l**4.\nAnswer: l**4*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -h**2\/2 - 14. Let b(l) = -162*l**2. What is s(b(g))?\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 440 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-384)\/15 + 2)\/(4\/(-5)). Let s = -29 + a. What is r in -1\/4*r**3 + 0*r + 0 - s*r**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1455672 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 546 - 358. Let s = 630 - y. What are the prime factors of s?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 842 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**3 - 22*d**2 - 39*d - 54. Let a be v(9). Solve a = -6*g + 2*j + 8, 26*g - j = 24*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 times 0.038\nAnswer: 0.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from gvvjjyyjjyvxvjygjjgg?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9254, 9252, 9252, 9254, 9258, 9264, 9272?\n\"Answer: c**2 - 5*c + 9258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2338*219175\nAnswer: -512431150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2 - 15*g - 10. Let s be q(-6). Solve v = -3*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + -6*sqrt(19) + -2 + 0.\nAnswer: -5*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 11 = f, 4*w = 5*f + 14 + 9. Suppose w*j - 6 = -0. Solve 0 = -2*i - j*x - 14, -2*i + 2*x + 2 - 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/44 - 124\/2200.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 825.3175um in kilometers?\nAnswer: 0.0000008253175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 420*x**4 - 20763*x**3 - 12027*x**2 + 8856*x - 300 = 0.\nAnswer: -1, 1\/28, 2\/5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 8*y - 9. Let b be d(-9). Let q = 6 + b. Let p = q + -3. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 197355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 59*z**5 - 1878*z**3 + 142*z**2 - 26*z + 12?\nAnswer: 3540*z**2 - 11268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -5956*h + 4382*h - 12285*h - 1322*h in the form r*h + o and give r.\nAnswer: -15181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/9  (b) 0.3  (c) 4  (d) -868  (e) -0.5  (f) 2\/51  (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 3\/8, 2\/11, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/8, 2\/11, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 517261, 1034528, 1551803, 2069086, 2586377?\nAnswer: 3103676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -344 - -4?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8609130 rounded to the nearest one hundred thousand?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1\/3, 2, -1.523, 1\/4, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 25289978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.2 + 4.5. Let i = -6 + v. Let a = 0.2999984 + i. What is a rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-3) - (-13282)\/1374.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 4. Let v be d(-3). Is v\/65 - (-1108)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 248 = -5*b, 0 = 2*v + 8*b - 4*b - 426. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02*-17879\nAnswer: 357.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2494439 is divided by 1539?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-70)\/15 - 12\/9. Let m(n) = -2*n - 8. Let s be m(i). Suppose -t = -2*t + 25. Solve -2*x = -s*x + p - 5, -5*p + t = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -718*w - 5 = -723*w. What is the second biggest value in 0.03, -0.06, 0, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, i: 2, l: 1, s: 3, p: 1, g: 1}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1293461 or 1293464?\nAnswer: 1293464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1608, -1576, -1522, -1446, -1348?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -4*r + 13. Suppose -k = -5*j + 88, -5*k + 0*k + r = 0. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 273?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2, 3, 16, 37, 66?\n\"Answer: 4*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.1748283 + -1?\nAnswer: 28.1748283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-24)\/22)\/3)\/(4\/(-22)). What is the second derivative of 80*u**b + 59*u + 17*u**2 - 162*u - 18*u**2 wrt u?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6538, 6539, 6540, 6541, 6542, 6543?\nAnswer: 6544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence luar when four letters picked without replacement from ulauguurllujg.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2489 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 29144, 58358, 87574, 116792, 146012, 175234, 204458?\n\"Answer: x**2 + 29211*x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s + 3. Let a = -51 - -54. Let x be (-2 + (-3)\/(-2))*(1 - a). Let j(w) = 1. What is x*z(q) - 4*j(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 5, 1585\/3, -11\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*g + 25 = -5*p - 7*g, -5*g + 10 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 235\/9 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -3*m**2 + 4*m - 3. What is i(4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7794 divided by 851.\nAnswer: -7794\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -12*s**2 + 9*s + 9. Let c(l) = 59*l**2 - 42*l - 42. Let b(g) = 3*c(g) + 14*x(g). Let v(o) = 11*o**2 - 5*o. What is v(b(p))?\nAnswer: 891*p**4 - 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 11 - 4)*((-5*g + 2*g + 4*g)*(3*g**3 - 4*g**3 + 2*g**3) + (2*g - g - 2*g)*(g**2 - g**2 - 2*g**3) + 4*g**4 - 3*g**4 + g**4).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24667219*t**3 + 333025125.\nAnswer: -74001657*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 32093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = p - 7, -u - 11 = -6*u + p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 448, 3669, 12410, 29431, 57492, 99353, 157774?\nAnswer: 235515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1120*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 1:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 667.6452 litres?\nAnswer: 667645.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)*-1 + (sqrt(11) - -2*sqrt(44)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 - 17. Suppose -2*z - 1 = 5*j, -3*j - 3*z + 3 = -g. Let f(s) = -956*s**3 - s**2 - 2*s - 2. Is f(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 435 = -3*b, 3*b - 5*f = b + 318. Calculate the remainder when b is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4363094 millilitres in litres?\nAnswer: 0.0004363094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 88 - 79. Let t = -1 + 7. Calculate the smallest common multiple of t and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i**3 + 8*i**2 - 13*i + 13. Is z(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427334261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 18*h - 19*h - h. Let c(j) = 45*j**2 + 2*j. Give c(w(s)).\nAnswer: 180*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 186.7984?\nAnswer: -373.5968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x - 3. Let z be (-26)\/(-3) + 8\/(-12). Suppose 3*t - t - 22 = 3*c, 5*t + z = -3*c. Give b(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 - 85\/20 - (-29)\/4. Solve -a*s + 12 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 - 227735*z**2 - 227730*z.\nAnswer: -5*z*(z + 1)*(z + 45546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 8177\/3180?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 23\/6, -1\/4, 233, -0.4, -0.1, -4\/5, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (754*w**3 + 686*w**3 - 1254*w**3)*(w**2 + 0*w**2 - 2*w**2)*(0 - 2 - 5 + (-1 - 1 + 0)*(4 + 0 - 6)).\nAnswer: 558*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/7  (b) -3\/4  (c) 0.3  (d) 17985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c + 3*g + 167 = 0, c - 13*c + 17*g - 191 = -7*c + 20*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -2*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*j**2 + 83*j**2 - 43*j**2 - 5*j to m*j + g*j**2 + d and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 771 (base 8) to base 11.\nAnswer: 41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**2 - 6*r. Let g(v) = v**2 + 5*v. Let z be (-4 - 4) + (-19 - 2)*19\/(399\/(-6)). Let w be 4\/(-14) - (-38)\/(-14). What is w*g(i) + z*l(i)?\nAnswer: i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34228 is divided by 167.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 229*q**2 - 57*q**2 - 58*q**2 - 2 - 54*q**2 + 33*q - 4*q**3 - 61*q**2 to i + o*q**3 + m*q**2 + z*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 78469847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - ((-4)\/(-18) + (-24)\/108). Suppose -1169 = -v*d + 2*u, 2*d = -d + u + 1168. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*s + 3*s. Let d(k) be the third derivative of 1\/24*k**4 - 1\/60*k**5 + 0*k + 0 + 0*k**3 + k**s. Give d(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 15, 1, 5, 8, -1\/2, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.13 in 2.9, 0.16, -1145?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 7*n = -12*n - 49, n + 23 = 5*z. Which is the closest to 3\/5?  (a) 2\/53  (b) z  (c) 8  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 8:43 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 18771550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/4526 and -17\/248.\nAnswer: 18104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 9 = -5*o, 7 - 3 = 4*f. Let k = o - -4. Let h = 0 - -3. Solve k*p - 15 = -s, 6*s - h*s + p = 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -q + 5, 4*q = -b + 5. Let x(z) = 12*z**2 - 15*z + 42. Let l(o) = o**2 - o + 1. Let g(p) = b*x(p) - 15*l(p). Let g(v) = 0. Calculate v.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-51)\/13 - ((-30)\/(-12))\/((-100)\/160)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(99) + 2)**2 - (-4 + sqrt(99) + 1).\nAnswer: -9*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/(-10)*4\/(-2). Solve 0 = n*x - 6*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 2*d**2)*(-4*d + d + 2*d) + 2*d**3 + 4*d**3 - 3*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-42 - -37)\/(20\/8) - (-3278 - 2). What is the greatest common divisor of 2682 and r?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1249 + 2699. Let g = i + -1004. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 86 and 3.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - q - 12, 4*q + 3 = 4*x - 5. Let o = 10 + -5. Solve x*b - 3*f + 20 = -4*f, o*f - 20 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -169 - -166. Let r(d) = 7*d**2 - 10*d + 1. Let o(n) = -3*n**2 + 8*n - 2. Let t(h) = f*o(h) - 2*r(h). Let w(j) = -j**2 - j + 1. What is t(p) - 3*w(p)?\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3808\/70)\/34*(15\/(-6))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 10) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (10 - 6) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-250)\/(-20)*(-16)\/20*(-8)\/448*-7.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 5*u**2 - 5*u - 4. Let q be t(-3). Suppose -11 = -4*r + q. Let k(z) = z**3 - 9*z**2 - 10*z + 15. What are the prime factors of k(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or 66230\/299?\nAnswer: 66230\/299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzacamaaqcaamcmcc. What is prob of picking 1 m and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 64420 rounded to the nearest one thousand?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 9 = -11. Differentiate x - y - 2*y - 2*y**2 + 3*y with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 3\/2*f**2 + 0*f + 0*f**3 + 0*f**4 - 1 - 6\/5*f**5. What is the second derivative of z(m) wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17375312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44128 is divided by 246.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 433222143 (base 6) to base 15.\nAnswer: a26739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2049, 5966, 12453, 21474, 32993, 46974, 63381, 82178?\nAnswer: 103329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 11 - (3 - 1)) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*o + 27 - 183 = 240 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 794.5695 milligrams in tonnes?\nAnswer: 0.0000007945695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 174, 293, 426, 579, 758, 969, 1218?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -35 - (-378 + 372 - (2 + (-3 - 20)))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 3 - 5 = 0. Suppose -30 = -6*p + 3*p + 3*v, -5*p = -d*v - 50. Suppose 16 = 2*z + 2*z. Calculate the lowest common multiple of z and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (2 - (4 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -65209, -65171, -65149, -65143, -65153, -65179?\n\"Answer: -8*q**2 + 62*q - 65263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -288*u - 33. Let j(p) = 18*p + 2. Give 33*j(x) + 2*z(x).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c + 6. Let x be k(3). Suppose 3*m = -5*f + 2 - 4, -14 = -x*f + 2*m. Suppose f*p = p + 16. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifty-two thirds of a minute?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 + r**2 - 2*r**2)*(3*r + 0*r + r) + (0*r - 2*r + 0*r)*(0*r**2 - r**2 - 4*r + 3*r).\nAnswer: 10*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**2 - 36*a**3 + 35*a**3 - 11*a**4 + 4*a - 2*a - 13 - 2*a**2 + 3*a**2 as b*a + d*a**2 + n + s*a**3 + o*a**4 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3367, 6736, 10105, 13474?\n\"Answer: 3369*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**4\/8 - 1353*b**3\/8 - 12825*b**2\/2 - 78246*b - 315576 = 0.\nAnswer: -12, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 times 1673944\nAnswer: -301309.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-3) + 2\/(-1). What is the biggest value in 0.4, 2\/3, u, -4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/1026 - 1367\/1026. Suppose r + 0*q - 16 = -4*q, 5*q = 4*r + 20. Which is the biggest value?  (a) 3\/2  (b) -2\/49  (c) r  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 12*n - 2. Let p(h) = -h**2 - 196*h - 6. Give -p(w) + 3*u(w).\nAnswer: 4*w**2 + 232*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -26*z + 13. Let o be s(11). Let j = -224 - o. Calculate the greatest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -27)\/((-21)\/3 - (9 - 14))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -2*t + 208. Suppose -3*r + 656 = 5*n, -n + 4*r = -0*n - 122. Calculate the greatest common divisor of t and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 at least as big as -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 - 6) + 14\/2. Suppose -4*j + j = -c, -4*q = -5*j + 2890. What is q rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 1:38 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 4*p + 12. Let n be m(-2). Solve 3 = 3*j, -3*z - n*j + 12 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -107021 and -107021 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 131750 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -24122701*v**2 - 2*v - 22552893.\nAnswer: -48245402*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 483678 and 13447902.\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**2 - 10*q + 31. Let p be t(-7). Suppose 4*v - p*v + 4*c = -5, 4*c + 23 = 5*v. Find r, given that -4\/3 - 5\/3*r**v - 4\/3*r + 13\/3*r**2 = 0.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 - 5145\/(-420)*8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 PM and 3:07 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 665, -5, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = c + 3 - 2, -2*j - 5*c = -8. Let y be 4\/(-18) - 64\/(-45). Let v = j + y. What is the nearest to -0.1 in 2\/5, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, 0, 2, -129, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74833 is divided by 2362.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -56, -134, -244, -386?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 1960673280?\nAnswer: -1960673279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4152268668.\nAnswer: 2, 3, 151, 2291539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 6\/13  (b) 2  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/30852 and -65\/724572.\nAnswer: 620958204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/5*(-5)\/2. Suppose -u + 5 = -c. Let n = u + 3. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -14, -12 in increasing order.\nAnswer: -14, -12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 2*h - 40 = 0. Let t = h + 14. Solve -3*i - 1 = p + t, 4*i - 4*p = -20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 41*o + 46. Let n be i(16). Suppose 5*r - 2*t = -4*t + n, 4*r - 5*t - 588 = 0. Calculate the smallest common multiple of 18 and r.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0, 3, -0.3, -2\/17, 1\/3.\nAnswer: -0.3, -0.2, -2\/17, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 29*b**2 + 172*b + 87. Calculate d(12).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1. Let a(c) = -2*c**3 + 12. Let s = -99 - -106. Suppose -120 = 6*i - s*i. Let d = 121 - i. Give d*a(o) + 12*u(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*p - 8*p + 3*p**3 - 4*p - 5*p**3 to j + l*p + g*p**2 + r*p**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -14*q**3 + 10*q**2 + 52*q - 33. Does 11 divide p(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 1442221?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -571 + 573.55. Let x = j + -3.55. What is the fourth biggest value in x, -1.4, 2\/21, -1\/4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1086980125.\nAnswer: 5, 7, 11, 31, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 23*x**2 - 52*x - 44. Determine l(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/(-12))\/(6\/(-8))*-6 + 3612 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4484.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31 - 32021?\nAnswer: -31330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -7*r + 88. What is the remainder when 364\/(-7)*1\/(-2) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.7 - 1.3. Let p = t + 1.5. Let n(u) = u**2 + 9*u + 3. Let s be n(-8). Which is the second smallest value?  (a) 0.2  (b) p  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9258832 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -3456?\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.16296 - 6.53704. Which is the closest to 0?  (a) -1  (b) 5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1022 (base 3) in base 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44976 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**4 + 6*w**4 - 4*w**4 + (0 - w + 0)*(-466 + 466 + 32*w**3).\nAnswer: -30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-51)\/((-2601)\/(-476))*2\/8\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2305*d**3 + 2*d**2 - 51*d - 183. What is the thousands digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 6*j = 0. Which is bigger: j or -17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 3 d when four letters picked without replacement from dddkdqddkddkqdd.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 + 1.5. Let o = -5.9 + h. What is the biggest value in o, -1\/6, -1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.2138917 rounded to 1 dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.83 and -1\/34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 910.909*-0.5\nAnswer: -455.4545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 15. Let t = d - -72. Let l = t - -8. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4246.12 times 550\nAnswer: 2335366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*u + u**2 - 3*u**2 + u**2.\nAnswer: -u**2 - 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k = -k. Solve k = -3*s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9045.592967 rounded to the nearest one hundred?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*h - 168 = 14*h. Let u be 12\/(8\/(2 + 2)). What are the prime factors of ((-153)\/u)\/((-21)\/h)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*(-2*p + 2*p - p) + 1 - 1 - 2*p + (38*p + 47*p - 51*p)*(-1 - 1 + 1).\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0075470144 to 6 dps.\nAnswer: 0.007547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -340 * 0.1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10325 is divided by 645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4264185 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 + 2*r**2 - 4*r - 5. Let d(q) = q**3 + q**2 - 5*q - 4. Let p(z) = -4*d(z) + 3*f(z). Calculate p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 8. Suppose d - 3 = m. What is the third derivative of -w**2 + d*w**4 - 7*w**4 - w**5 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 806 is divided by 118?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/56)\/(77*(-27)\/(-1323)*(-702)\/(-143))?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = l - 0*q - q, 0 = 4*l + 2*q - 360. What are the prime factors of l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -54 + 74. Calculate the remainder when 35 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -23. Suppose 5*z - s = k - 2, 0 = 4*k - z - 11. Solve 0 = k*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 6:40 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3034 - 4?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -64*n**2 - 44 + 67*n**2 + 44. Let v(o) = -44*o**2 + 2*o. Give s(v(q)).\nAnswer: 5808*q**4 - 528*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*p**2 - 29*p**2 + 1 - 1 in the form n*p**2 + f + b*p and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 5*v + 8. Let n(l) = l**3 + 4*l**2 - 6*l - 1. Let j be n(v). Suppose 0 = -5*h - 5*k + 35, 2*k - 16 = -j*h + 10. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3 - 10*i**2 - 376*i + 384.\nAnswer: 2*(i - 16)*(i - 1)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/12*15\/(-2). Suppose -3*r - 4 = 2, 4*x - 142 = -q*r. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -50*z**4 - 7*z - 24909?\nAnswer: -200*z**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 8, -2, 0, -1 in ascending order.\nAnswer: -2, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/1299469 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**2 - 15*z**3 + 3*z**2 - 3*z**2 to n*z + t*z**2 + u*z**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 64900885 divided by -157145\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -7*g**3 + 16*g**2 - 6*g + 3. Calculate m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16551871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4494 - 39969?\nAnswer: -39968.5506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 79*b**2 - 8525*b - 722736.\nAnswer: 158*b - 8525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s**2. Let b(o) = -12676*o**2. Give k(b(d)).\nAnswer: -482042928*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -4*k**3 - 301*k**2 - 72*k + 243. Give p(-75).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6844908 years in months?\nAnswer: 8.2138896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 119800\/1201 + -1\/4804. Let j = z + -99. Let b = 0.4 + -0.3. What is the closest to b in j, 5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-178)\/(-5) - (-8)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8240866 rounded to the nearest ten thousand?\nAnswer: 8240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3 - 32784*g**2 - 2309373*g - 2276586.\nAnswer: 3*(g - 10998)*(g + 1)*(g + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -276 - -280. Suppose 0 = -3*g + 327 + 237. Suppose -k*s + l = -l - 212, -4*s + g = 4*l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257981267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(198)\/((sqrt(108) + sqrt(108)*3 + sqrt(108))\/sqrt(12)))\/(3*(sqrt(220)\/sqrt(10))\/sqrt(11))*2.\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 128*x + 3378. Let p be r(-26). Let c(q) = -2*q**2 - 5*q + 2. Let a be c(-6). Let y = p + a. Solve -v = v + y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -638.043 - -638. Which is the nearest to -1\/2?  (a) u  (b) 0.2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -3*p**2 + 3*p + 3. Suppose 0 = w - 2*m - 118, -w - 4*m = -0*w - 88. Suppose -i - 3*i = -w. Let t = 30 - i. Give v(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 0 + 1\/12*u**4 + 3\/2*u**2 - u**3 - 3*u. What is d(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 0, -20 = -18*t + 17*t + 4*r + 2. Let f(u) be the first derivative of 2\/3*u**3 + 0*u + 0*u**2 - t. Let c(s) = 20*s**2. What is c(f(v))?\nAnswer: 80*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -560 + 545 + 1 + 0 + -36.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5 - 3. Suppose -20 = -5*o - v, s = o - 3*v + 4*v. Solve 3 = -2*x - o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 196.2 - 203.2. Which is the fourth smallest value?  (a) 0.4  (b) p  (c) 4  (d) -242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3 - 66 = 0. Suppose p*t + 12525 = 38*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (15\/25)\/((-2)\/(-30)). Let i(y) = j - 3*y - 3 + 2. Is 14 a factor of i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1683 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 81 - 3\/(21\/(-7)). Let j(s) = -102*s - l*s - 95*s + 71*s. Let t(x) = 2*x**2. What is t(j(n))?\nAnswer: 85698*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**17))\/r)\/(r\/(r*r**19*r)) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, f: 1, t: 2, x: 1, i: 2}. What is prob of picking 1 v, 1 f, and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 - -1 - (-241 - -252).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*o**2 - 61*o**2 - 23*o + 86*o + 1 wrt o?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 3*m + 4*v, 9*v + 153 = 4*m + 4*v. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**2 - 3*o**3 + 20*o + 19*o + 21*o - 66*o**4 - 78*o + 16*o to the form j*o**4 + y + a*o**3 + s*o**2 + z*o and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = 4*w - 120. Is (-10)\/(w\/(-26) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*o**4 - 4*o**4 + 7*o**4 + (-3 + 3 - 2*o)*(4*o - 4*o + 2*o**3) + (-15 - 9 + 1)*(2*o + o**4 - 2*o).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m - 3. Suppose -3*p + 16 = -7*p. Let o = -13 - -19. Let d(b) = -b - 2. Calculate o*d(y) + p*h(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -21. Let c be (-4)\/4*o\/2. Solve 4*i + c = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 38765718.69 to the nearest 1000.\nAnswer: 38766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*p**3 - 26124*p + 26124*p.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40 + 5. Suppose -3*p - 90 = -4*b, 0*b + 18 = b - 3*p. What is the remainder when d is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -1\/7  (c) -87.7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -44, -68, -92?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 35*l**2 + 31*l - 54. Determine y(-34).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -58*t - 3. Give x(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3872 divided by -968?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lte when three letters picked without replacement from {g: 4, l: 1, t: 3, e: 11}.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-21)\/35)\/((-1)\/(-5)). Put -4, n, -5 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -5053.\nAnswer: 25265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*p = 26, -24 = -d - 5*p - 7. Let c(f) = -2*f + 2. Let q be c(-2). Let l(v) = -q + 2 + 2 + v. Calculate l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46591229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10*i*z**3 - 209*i - z wrt z.\nAnswer: -30*i*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 100 = 2*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kr when two letters picked without replacement from ppkrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 73*f**5 + 62*f**4 + 9*f**3 - 1358409*f**2 wrt f.\nAnswer: 4380*f**2 + 1488*f + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/2 + -8 + 9. Suppose 6*m = p + m - 32, 0 = c*p + 5*m - 3. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2, 19358, 0.01, -4, -2\/3, 3\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3\/3 - 5*x**2\/3 + 8*x\/3 - 4\/3.\nAnswer: (x - 2)**2*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 27492.89 years in millennia?\nAnswer: 27.49289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, 9.8, 48.9, -16 in descending order.\nAnswer: 48.9, 9.8, -3\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10db717 (base 15) to base 12.\nAnswer: -406b094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1112208, -2224326, -3336444, -4448562, -5560680, -6672798?\nAnswer: -7784916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - 0. Let z(f) = -11*f - 1. Let h(a) be the first derivative of -33*a**2\/2 - 3*a - 2. Let k(y) = -2*h(y) + 7*z(y). Determine k(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b**2 - 489*b - 1908 = 0. What is b?\nAnswer: -159, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -584*a - 139078. Calculate m(-237).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0991104 to 4 decimal places.\nAnswer: -0.0991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -8*o - 17*o**2 - 11 + 16*o**2 + 0*o**2. Let q be r(-4). Sort 0.7, -5, 3\/5, q in decreasing order.\nAnswer: q, 0.7, 3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8499\/254 + -5\/127. Which is greater: -33 or i?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 5. Let y(a) = a**3 - 5*a**2 + 4. Let k be y(m). Let o = k + 11. Is 1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -4. Suppose v*k + 0*k = -2. Suppose s = 2 + 1. Sort s, 5, k in decreasing order.\nAnswer: 5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 6:37 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(68) - -2*-1*sqrt(68) - ((sqrt(68) - 5*1*sqrt(68))**2 + sqrt(68))) - -1*(sqrt(68) + (sqrt(68)*1 + 3)**2 + -5).\nAnswer: -1012 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 1 + 2*i**2 - 1 + (-24*i + 5*i + 4*i)*(0*i + 5*i - 4*i).\nAnswer: -13*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pwp when three letters picked without replacement from wwwwwppwwwpwwwwwwwww.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*-5*4\/(-5). Let v = 44 + -40. Let s(i) = -v - 5 + 0*i + 7*i + 3 - i**2 - 2*i. Give s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)\/sqrt(48)*6)**2 - ((1*sqrt(931))**2 - (sqrt(76) + -1)).\nAnswer: -761 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 7*m + 1. Let b(c) = -177*c - 2 - c**2 + 3*c**2 + 164*c. Let i(g) = 3*b(g) + 5*n(g). What is i(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/(-7))\/((-12)\/42). Let i(d) = d + 1. List the prime factors of i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/159540 and 67\/1356090.\nAnswer: 2712180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 3\/2, -0.7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4866*h + 4865*h + m - 4, 2*h + m = -8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2398 + -2368. Calculate the highest common divisor of n and 1695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/144 and -24\/110647.\nAnswer: 15933168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 5:21 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**3 - 6*u**3 + 2*u**3)*(-6 + 4 + 4) - 2*u**3 - 6*u**2 + 6*u**2 + u**3 - 2*u**3 + 3*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 20*w. Let c(a) = 4*a**2 + 3*a - 3. Let l(j) = -7*j**2 - 5*j + 5. Let n(o) = -5*c(o) - 3*l(o). Give n(y(g)).\nAnswer: g**4 + 40*g**3 + 400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101121010202 (base 3) to base 7.\nAnswer: 1526102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.5 + 0.5. Let f = -25 + 26. Which is the closest to q?  (a) f  (b) -3\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*s - 2, -s = -5*t. Suppose 0 = -2*i - 2*i + 4. Let d(y) = -y**2 + 19*y - 79. Let k be d(7). Sort t, k, i in ascending order.\nAnswer: t, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1029 and 4459?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 454800 and 2103450?\nAnswer: 16827600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2389823 and 9416616.\nAnswer: 630913272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9070627?\nAnswer: 9070627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 18112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3491776 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22085875 by 215.\nAnswer: 102725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - -20) + -3 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 370040 divided by 16820\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 86 + 124. Let k = b - -159. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3741 - -106. Calculate the remainder when 16\/(-48) + m\/(-15) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23177272 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -2*o**2 - 2*o. Let n(r) = r**2. Give n(f(h)).\nAnswer: 4*h**4 + 8*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 6*d + 20. Let g be 0\/(-1) - (0 - -40). Let b = -29 - g. What is the units digit of j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000302029 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.435 + -0.362. What is h rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68260 is divided by 34120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a - 4. Calculate s(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-405))\/((8\/(-12))\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 461 - 305. Let x = -156.2 + p. What is the nearest to -0.1 in 10\/9, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -1, 0.5, -3.169, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22073 + 65911 - 7*x - 22286 - 22104 to the form z*x + i and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 416 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -22166 and -22161 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -106.5 - -106.1. Which is the fourth biggest value?  (a) i  (b) -18  (c) 3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5762, -1564.\nAnswer: -1564, -3, 5762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11023\/180 + 1227\/20. What is the closest to 0.2 in k, -4.4, 6\/13, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -0*m - 4*m. Let q = 4 + m. Suppose -2*j + q = -6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -4*n + 20. Let p(m) = 2*m**2 + 7*m + 3. Let d be p(-3). What is the second derivative of -3*x**n - x + d*x + 4*x - x wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 16*f**2 + 12*f - 2. Calculate n(15).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -15588700 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 7*v**2 - 4*v - 2. Let l be d(6). What is the tens digit of (-364)\/(-5) - (-2)\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -8*x**2 + 4. Let s be d(3). Let u = s + 35. What is the units digit of (-1)\/(1 + 36\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 13*g + 10*g = 1, 2*g + 1 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -381\/16 + 95\/4. Let d = -19255070 + 269738857\/14. Let y = d - 11986. Calculate the common denominator of o and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26961777 is divided by 6461.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.229 bigger than -0.5257999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pspsppsp.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9811475 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2112 + 220021?\nAnswer: 222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 - -29.017. Let c = -0.2 + 0.21. Let v = f - c. What is v rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, x: 4, c: 2, y: 2, u: 1, t: 4}. Give prob of picking 1 h and 2 t.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((1 + sqrt(275) + sqrt(275) + sqrt(11))**2 - sqrt(99)*3) + 3).\nAnswer: 65*sqrt(11) + 6675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40\/19 + 221\/114. What is the closest to 8 in 5, a, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (5 - 8 - (-28 + 62) - (3 - 0)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 1908330?\nAnswer: 7633320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 75 + -73.03. Let f = -0.03 - h. Let p = 1 - f. Sort 4, 5, p in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -10, 3*x - 14*y = -10*y - 11. What is the closest to x in -1, 10\/9, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of a**5\/60 + 5*a**4\/12 - 11*a**3 + 33*a**2. Is 2 a factor of g(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11028 = 6*s - 10*s + 4*d, 13721 = 5*s + 3*d. Solve 3*b + s = 2773 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*s + 63*s - 60 = 0. Suppose 4*w + 80 = s*g, 60 = 2*g - w + 4*w. Calculate the least common multiple of 8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -50308, -50303, -50298, -50293, -50288?\n\"Answer: 5*s - 50313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 11:28 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16466969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 285 = -5*v. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/30 and (-1)\/10*(-481)\/(-39).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7469, 7639, 7809?\nAnswer: 7979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1031000222 (base 4) in base 3?\nAnswer: -121000200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -2. Suppose -2*s = y + 3. What is the common denominator of (-166)\/8*s\/(-8) and -61\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 357, 4, -411 in descending order.\nAnswer: 357, 4, -10, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.25 + 1.95. Let o = -1.98 + z. Let x = 0.34 + o. Which is the closest to 0?  (a) x  (b) -3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -2, -5 in increasing order.\nAnswer: -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of -p**5\/20 + 5*p**4\/12 - p**3\/2 + 2*p**2 + 2*p. Calculate the lowest common multiple of -2*3\/12*-28 and n(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -378*q + 5225 = -63*q + 730*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 342 - 79 = -2*r - 293, -224 = 23*v - 12*v - 13*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5238.659350701 + -0.3.\nAnswer: -5238.959350701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*748\/15 - 4\/(-30).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 597, 1561, 3051, 4971, 7225, 9717, 12351, 15031?\nAnswer: 17661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 13, -10, 5 in increasing order.\nAnswer: -10, -1, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 8*n**2 - 10*n. Let z be 4\/3*6\/2. Suppose 3*a - 2*j = -37, -z*a + 3*j = -2*j + 61. What is the units digit of h(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -0.00547.\nAnswer: 0.02188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2124*t - 312 = 2148*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 5*d**2 + d + 6. Let a be f(3). Let k be a\/(-12) + (-35309464)\/32. Let z = k + 433420. What is z rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 813 divided by -1490.\nAnswer: -813\/1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -806, -1710, -2598, -3458, -4278?\n\"Answer: 2*i**3 - 4*i**2 - 906*i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 360848\/608 - ((-1)\/(-2) - 2)?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 793 = 853. Put d, 5, -13 in increasing order.\nAnswer: -13, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27490.4 - -27490. What is the second smallest value in -30\/13, -27, o?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 555650 and 44452?\nAnswer: 1111300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 180 and -41.69831.\nAnswer: -7505.6958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**4\/6 - 7*c**3\/2 + 22*c**2 - 2*c + 920. Give z(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of p**3\/6 + 9*p**2\/2 - 2*p. Let h be s(-7). Let v be (-1 - -1)*(-1)\/(-1). Put h, 4, v in ascending order.\nAnswer: v, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 609 is divided by 288.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17546, -35094, -52642, -70190, -87738, -105286?\n\"Answer: -17548*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**7)**(-1\/4)*(v**(-3\/4)*v)**(-19\/3))**35 assuming v is positive.\nAnswer: v**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -624182 plus -0.0282177811?\nAnswer: -624182.0282177811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*p - 21*p - 9*p + (5 - 3 + 0)*(20*p + 11*p + 5*p).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 66*z + 1196. Let m(v) = -68*v - 1195. Let c(i) = -4*m(i) - 3*q(i). Find the first derivative of c(y) wrt y.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1075*z + 1060*z = -49125. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -c**2 + 0 - 1\/3*c**3 - 6*c - 1\/12*c**4. Let h(k) = -k**2 + 8*k + 17. Let x be h(10). Calculate b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-125)*-5)\/(149\/6705).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1176.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h. Let s be d(7). Let f(v) = -v + 11. Let i be f(s). Differentiate 0 + 3 - 4 + 3*p**4 - 2*p**i with respect to p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) -4769.8  (c) 10\/117  (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -4*q - 13. Let o(x) = 2*x + 7. Let l(i) = 4*k(i) + 7*o(i). What is the tens digit of l(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-3\/5)\/x*x)\/x*x*x)\/(((x*x**(-5\/11))\/x)\/x))\/(x*x**(-2\/7))**(-49) assuming x is positive.\nAnswer: x**(2027\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/35 + 302\/(-755)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37*f*m**3*o - 2*f*m**3 + 1032*f*m**2*o + 680*f*m - m**3*o - 8148*m**3 - 98*m**2 wrt m.\nAnswer: -222*f*o - 12*f - 6*o - 48888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + x + 1 = 0, 5*m = -3*x - 1 - 2. Suppose -v = 4*o + 2, -5*v + m*v - 90 = 4*o. Let p = -14 - v. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008957166 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 381211529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from axlfsvxa. Give prob of sequence lsa.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/(-177))\/2*273\/819\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of n**2*u**4 + 2*n**2*u - 21*n**2 + 18*n*u**2 + 7*n wrt u.\nAnswer: 4*n**2*u**3 + 2*n**2 + 36*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639940?\nAnswer: 2, 5, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 times -1.7\nAnswer: 0.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of 0*d**3 + 0*d**2 + 167*d + 0 + 11\/12*d**4. Let g(a) = a**2 + 2*a**2 - 2*a**2. Determine g(r(h)).\nAnswer: 121*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, -7\/6, -0.1 in ascending order.\nAnswer: -7\/6, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 24159197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 31. Let b = p - 9.000011. Round b to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 810101.4 months?\nAnswer: 675.0845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(252) + sqrt(252) - (-2*sqrt(35)*4)\/sqrt(5))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 t when three letters picked without replacement from swwstbssatawawaaawww.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 6*r**2 + 6*r - 6. Suppose 2*n - 3*v = 5*n - 42, 0 = 4*n - 5*v - 74. What is the remainder when l(6) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7eb1e (base 16) to base 8\nAnswer: 1765436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*o - o - 4*o + (11*o + 26 - 26)*(2 - 3 + 0) - 3*o + o + o)*(2*o - 2*o + 2*o) as d + z*o + t*o**2 and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 2*k**2 + k + 135799. Let u be o(0). Let v be u\/(-7) - 15\/105. Round v to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 408393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 31 - 1103. Does 67 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vqvzv. Give prob of picking 1 v and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xqxe when four letters picked without replacement from qexqxxqq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 253 + -9\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 4*l - 600, 4*l + i = 291 + 312. What is the remainder when 326 is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 4*k**2 + 7*k - 4. Let v be n(5). Let x = 8 - v. Solve -5*r + x*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79436979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of -w**4\/24 + 10*w**2. Let m(p) = -4*p. Give 11*c(v) - 2*m(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 11 + 87*l - 86*l - 10 + 4*l**2 - l**2. Let t be c(-1). Solve t*r - 1 = -5*a, 4*r + 5*a + 3 - 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2038551246?\nAnswer: 2, 3, 67, 563447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28598 - 28583. Calculate the greatest common factor of m and 2895.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2536, -2578, -2622, -2668, -2716?\nAnswer: -2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000148901 rounded to six decimal places?\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of (95 + -100 - -435*1) + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 73 - 103. Suppose -2*v - q = 0, -3*v - v = 5*j. Solve 0 = -0*b - 2*b + j*x, -9 = 2*b + 5*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -4 - ((-14276)\/12616)\/((-135)\/(-48) + -3)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*x + 29 + 157. What is the remainder when 152 is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - -3 - (-6 + 11). Let y = -3 - 8. Let g = 11 + y. Which is the nearest to f?  (a) g  (b) 2\/7  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 2*o. Suppose -8 = 5*n - o. Let h = 3405 - 3407. Is n <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31 + -201234?\nAnswer: -201203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -4*n**2 + 11*n + 31. Let g be d(-4). Let b = 276 + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4476.58 - -4476.209978. Let y = i + 0.37. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 111725185*y + 52358705 wrt y.\nAnswer: 111725185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 10:25 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(w*w**21)))\/(w\/(w*w**(4\/13)*w)))\/(w**(-7\/5)\/w**(-6\/11)) assuming w is positive.\nAnswer: w**(17276\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -173.1 * -8\nAnswer: 1384.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -15200 and -4106.2.\nAnswer: 62414240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -3*z - 5. Let g(w) = 216*w - 519. Let a(f) = -g(f) + 2*h(f). What is the derivative of a(o) wrt o?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/18725 and 58\/35.\nAnswer: 18725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 1 - 2 + 4)*(-735*w + 68*w - 385*w).\nAnswer: -8416*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/(-42) + (-603)\/594\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**4\/13 - 238*y**3\/13 + 3480*y**2\/13 + 1800*y\/13 = 0. Calculate y.\nAnswer: -1\/2, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 6*m - 5. Let g be x(-3). Put -5, g, -4 in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/3)*m**(1\/3))\/(m\/(m\/(m*m*m*m**(-1\/3)*m*m))*((m\/(m**(-5)\/m))\/m*m)\/m) assuming m is positive.\nAnswer: m**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (1 + -5 - (4 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1610 and 237130.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 138 = -3*n, 3*n = 8*n + 5*w - 230. What is the tens digit of n - (-5 + 2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a hour in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1277 = -1119*o + 591*o + 604*o - 7691 for o.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 616, 597, 578, 559?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**3\/6 - 2*x**2 - 5*x. What is d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-1848)\/429)\/(-28)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -11*n. Let v(c) be the first derivative of 2*c**3\/3 + 115*c + 2335. Give a(v(p)).\nAnswer: -22*p**2 - 1265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6 + 6*3\/(-6). Let o = 9 - m. Solve 2*i - 4*i = -o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 - 34*q - 82. What is the tens digit of k(40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 221*n - 446*n + 223*n. Let a(f) = -45*f. Give a(p(t)).\nAnswer: 90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 134, 284, 450, 638, 854, 1104, 1394?\n\"Answer: z**3 + 2*z**2 + 137*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 8, c: 8, z: 1}. Give prob of picking 1 n and 1 z.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 58 = d - 6*d, 0 = -5*l + 5*d + 100. Suppose 0 = f - 3*s + 2, -3*f - s = f + l. Let h = 7 + f. Solve 5 = -p + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 16*z**2 - 18*z**2 + 6*z**2. Let p(l) = l. Calculate p(f(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -c - 2. Let g = -34 - -34. Suppose g = -b - c + 8. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + -2)*(663\/(-34) - -22). Sort 128, s, -3 in descending order.\nAnswer: 128, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gpwptrhrtwwpgg. Give prob of picking 2 p, 1 r, and 1 g.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*j**4 + 0*j**4 - 2 - j**2 + 13*j**4 in the form f + y*j**4 + b*j**2 + a*j**3 + p*j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v + 11*v = 4. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 80*v**2 - 153*v + 155. Determine o(-78).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.33829 times 15.9\nAnswer: 5.378811","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 91.99 + -92. Let y = 9\/22 + 12\/11. Which is the closest to s?  (a) -0.3  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000114056452 rounded to 7 decimal places?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1 + 4 + 4 + -5 + -6*1*sqrt(192) + 2)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/4, 2\/9, -3\/28, 24 in ascending order.\nAnswer: -3\/28, 2\/9, 5\/4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*u - 306 = 11*u + 9*u for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3064 - 5?\nAnswer: 305a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 67 - 8)*(4*l**3 - l**3 - 4*l**3).\nAnswer: 68*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13201 - 132?\nAnswer: 13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 238947978 to the power of 1\/2, to the nearest integer?\nAnswer: 15458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -15.6 * -15\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 4:09 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(612)*2*3 + -2 - ((2*sqrt(272) - sqrt(17) - ((-1*sqrt(17) + 1 - sqrt(17)) + sqrt(17)))*6)**2.\nAnswer: -39206 + 612*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (4 + (sqrt(1008) - (sqrt(1008)*1)**2 - sqrt(1008)) - ((sqrt(1008) - (1*sqrt(1008)*3)**2) + sqrt(1008))).\nAnswer: -24*sqrt(7) + 8073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1356, -2655, -3954, -5253?\nAnswer: -6552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(1573) + (-2 + sqrt(1573))*4 + 5 + (sqrt(1573)*-2 - sqrt(1573)))**2 + 3.\nAnswer: -44*sqrt(13) + 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-4))\/((-1)\/(-6)). Is i + (82 - (-1 - -1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -479518367 times -1\nAnswer: 479518367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r. Let f(o) = -266791*o. Calculate f(s(w)).\nAnswer: 533582*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 347 + -147. Suppose -5*d = 75 - w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 9*x**2 - 23*x - 6. Give v(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmckcczcmmr. What is prob of picking 1 z and 2 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31308556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59044.\nAnswer: 2, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2830.19 and -0.34?\nAnswer: 962.2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 - 4)*(-79)\/5.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 9:57 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 387  (b) 1\/4  (c) 0.012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-2*(3 + 1 + ((1 + sqrt(2))*2 - (-2 + sqrt(200)))).\nAnswer: -48 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -448 - -1617. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3392 by -8.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1188)*-4)\/(2*(sqrt(3) + sqrt(147))) + 1.\nAnswer: -3*sqrt(11)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2452 (base 7) in base 15?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 50719, -0.9 in decreasing order.\nAnswer: 50719, -0.03, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = m - 0*m. Let s be (m - -1)\/((-10)\/(-10)). Solve 0 = 3*x + s*u + 15, 0*x + 2*x = -u - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -694*z + 201*z = 470*z - 1926 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 13) to base 16.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 5*b + 73, f - 6*b = -b + 34. Suppose 7*n - f = 4*n. Calculate the highest common factor of 104 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 432b6 (base 12) to base 10\nAnswer: 88554","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*r**5 + 369*r**4 + 4*r**2 + 32911*r?\nAnswer: 60*r**3 + 4428*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -73*n - 7334. Give b(-101).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of -x**4\/21 + 230*x**3\/3 + 1612*x**2\/7 + 176*x - 6. Factor l(k).\nAnswer: -4*(k - 806)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -150 at most -149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 6 = -4*i. Let p be (i + 6 + -5)\/(-1 + 2). Let n be 4\/p + 5\/12*5. What is the third biggest value in n, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + 1. Let w = 54 - l. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/5)\/(-4*(-6)\/(-72)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -7, 0, 0.3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q + 15. Let u be c(-11). Solve u*o = -2*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r + 4*r - 2*r)*(-13024*r**2 - 18799*r**2 + 1588*r**2) as z + t*r**3 + v*r**2 + g*r and give t.\nAnswer: -60470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 388189 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 299935 = 900065. What is k rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3864 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 986, -0.4, 1\/3, 26, 3, 9 in descending order.\nAnswer: 986, 26, 9, 3, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (8850\/750 - (-4)\/(-1))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 53413*g - 53411*g + 4, -3*c + 18 = -2*g + 2*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -608 divided by -8\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1423541.811554+-0.76\nAnswer: -1423542.571554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 9119 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of 0*f + 0 + 19*f**2 + 1\/60*f**5 + 5\/12*f**4 + 2*f**3. Let o = -10 + 1. Give c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 16*m**2 + 56*m - 4. Determine g(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1319*m*v + 5515*m wrt v.\nAnswer: 1319*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 6*a**2 - 55*a - 110. Let s be i(-2). Solve 15*t + s = -21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -0.1792  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - 2. Let p = g + -1. Suppose -5*k = p*m - 18, m + 3*k - 2 = -0*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*q - 2*q - 2*a, 0 = -2*a. Find the common denominator of 7\/4 and q\/64*-25 - -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22059368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (119\/((-20825)\/(-50)))\/((-24)\/14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-352)\/6 + 1)\/((-589)\/83049) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -w**3\/6 + w**2\/2 - 2*w. Let l be g(-1). Let a(n) = -n**2 + 9690 - 9692 + 3*n**3 - n + 0*n**2. Determine a(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 611405?\nAnswer: 611406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from lkkllklkflklkklzfzz?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 315 + -302. Suppose -3*t = f*t - 880. What is the remainder when 214 is divided by t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-8\/9)*y*y**(-4\/15))\/(y**(8\/3)\/y*y**9\/y))**(-12) assuming y is positive.\nAnswer: y**(1268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 + 4*l**2 - 4*l + 5. Let v be d(-5). Let z = -5\/124 + -4697\/372. Let x = z + 202\/15. Which is the closest to v?  (a) x  (b) 1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/1080 and -79\/990.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 7*q**2 + 24*q - 89. Does 10 divide y(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.3 and 4.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -431*x = -439*x + 144. Suppose -2999 = -x*q + 439. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64228347769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 0*v**3 + 0*v**5 - 6*v - 7\/2*v**2 - 2\/15*v**6 + 0*v**4 + 0. What is the first derivative of u(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -5\/2  (b) -14  (c) 2\/11  (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**4*u)\/u**(13\/2)*u**(-14\/3)*u**(4\/5) assuming u is positive.\nAnswer: u**(-131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 834665599 at least as big as 834665600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 210 and 22995?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 70*l - 72*l + 7*r, 5*l + r = 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + y**2 - y. Let l(s) = -2*s**3 - 3*s**2 + 3*s. Suppose -6972 = -7*v - 6986. Let c(g) = -g - 21. Let w be c(-15). Calculate v*l(m) + w*j(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6547426 + 2?\nAnswer: 6547430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5803871.\nAnswer: 53, 109507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -15*u - 504. Let k be m(-51). Calculate the greatest common factor of k and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 99 and 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13202222 (base 5) in base 15?\nAnswer: 28eac","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 2:47 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -31334 and -1402?\nAnswer: 29932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 249506 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -15, -5 in decreasing order.\nAnswer: -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -9. Let n = g + 5. Let u = -14.6 + 14.53. Which is the third smallest value?  (a) n  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 405988 is divided by 67642.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 267266070337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of s*z**2 - 42924630*s + z**2 + 8191834*z wrt s?\nAnswer: z**2 - 42924630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1437503, -1437498, -1437493, -1437488, -1437483, -1437478?\n\"Answer: 5*g - 1437508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1430 + 1429.5. What is the third smallest value in -4, -1.1, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4634 and -106.\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1928  (b) -4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttsttttttt.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (4 - 8 - -3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l + 2*l - 4*l + (2 + 1 - 4)*(2*l + 3 - 3) - 3 + 3 - 4*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1806*i**3*j*z - 537*i**3*z + i**2*j - 56*i*z + 11*j wrt j.\nAnswer: 1806*i**3*z + i**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 5*h**2 - 11*h - 11. Let k be o(-4). Suppose -2*d - 3*d = -25. Solve k*r = 16*r - d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 - 97 - (2 - (2 + -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 49888 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 28, 2\/15, 5\/8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.68 * -1724.\nAnswer: -11516.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-177)\/(-54) - 3)*(-91)\/5 and -71\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.20099 times -0.08?\nAnswer: 1.6960792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 34502.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16298.\nAnswer: 2, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29.1074 + -0.0074. Let f = -29 + n. Round f to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from hchphhhxxvxyvvy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - 22*z**2 + 25*z + 2. What is i(-23)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-148 + 147)\/(9*1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k**3 - k**2 - 3*k + 1. Calculate y(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -13. Suppose -r + w - 145 = -6*r, -3*w - 116 = -4*r. Let u = -59\/2 + r. Are v and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34117033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.152766 days in minutes?\nAnswer: 219.98304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -8*v**2 + 31*v - 32. Let d be s(1). Let t = 0.26 - -0.04. Which is the nearest to d?  (a) t  (b) -0.5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-2) + 4\/2. Suppose -3*q = -d*q + 13. Suppose -835 = -117*v - 16. What is the remainder when q is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-10))\/1*(-25)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -5. Let n(v) = v + 9. Suppose 4*i + 19*r - 14*r = -25, r = i - 5. Let p(m) = -11*m - 5. Let x be p(i). What is x*z(w) - 3*n(w)?\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.63338 from 4.\nAnswer: 3.36662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11248761.6 nanoseconds to days.\nAnswer: 0.000000130194","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8728, 34875, 78454, 139465?\n\"Answer: 8716*t**2 - t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-320)\/(-152) + (-8)\/(-228)*-3. Solve 0*q + 26 = 5*q - 2*a, 14 = 2*q - m*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376 + 2015 = -11*q + 105*q - 2121 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5310194 and 150866.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 455 a factor of 364914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -1 - (30 + -33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 1\/3  (c) -0.853  (d) -625  (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 31 = t, 9029 - 8991 = -4*t + 2*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h - 17. Let n be (-16)\/(-12) + (-208)\/12. Let m be b(n). Let l be ((1 - 1) + m)\/6. What is the smallest value in 0.05, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**3 - 1 - 23*y**3 + 22*y**3 - y - 3*y**2 + 0*y**3 - 3*y**3 - y**3 + (2*y + 3*y - 6*y)*(-y**2 + 0*y**2 + 3*y**2).\nAnswer: -8*y**3 - 3*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -741 - -741.06. What is the nearest to 2\/5 in u, -0.1, -8\/9, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 257.6 + -258. Which is the second biggest value?  (a) 4  (b) y  (c) 7  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 78*10\/24*2\/5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*u - 126 + 28. Calculate the remainder when 70 is divided by u\/(-35) + 58\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in 1, 4, -3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b*b*b*b*b**6\/b))\/b)\/b)\/b**(-3)*(b*b**(-2\/7)*b)**(7\/4))**(-1\/72) assuming b is positive.\nAnswer: b**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2 = -4*j. Suppose g + j = 3. What is the common denominator of 75\/22 and 1 - (g + 106\/(-12))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2613044156 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 174460 divided by -43615?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -6*i**2\/5 + 54666*i\/5 + 656856\/5 = 0?\nAnswer: -12, 9123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 divided by 11?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -331, 8, -5, 2 in decreasing order.\nAnswer: 8, 2, -5, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 367 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 10160630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -3. Suppose 34 = 4*u - 2*f, -f + w*f = -5. Calculate the remainder when 43 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -286.80986 - -0.16986. Let m = z - -280. Let o = m - -7. Round o to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18912 and 2976?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1266 - 281471.\nAnswer: -282737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4))**(5\/8) assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k + 50. Let t(i) = 4. Let p(y) = -n(y) + 6*t(y). Let o(d) = -d**2. Calculate o(p(f)).\nAnswer: -f**2 - 52*f - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1365\/(-273))\/((-2)\/(-6)*-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 2 - 2)*(-3*v - 4 + 4)*(0*v - 3*v - 2*v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-8\/7)\/h**(2\/11))\/((h*h\/h**(-1))\/h)**(-39) assuming h is positive.\nAnswer: h**(5904\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8171\/8 - 1024. Find the common denominator of 31\/22 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-5))\/((-12)\/246)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 0.5, -0.0184, 69?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -176885739229\/1950 + 90710628. Let a = -2\/975 - t. Calculate the common denominator of ((-97)\/(-6) + -2)*1 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73681?\nAnswer: 73681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 24 = -0*m + 2*x, 2*x - 8 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*a = -99*a + 96 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.69835 + -4.7. What is b rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3027.658ug?\nAnswer: 3027658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvj when three letters picked without replacement from {x: 4, v: 5, j: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-5) + -2)*(-10)\/3. What is the third derivative of k**4 + 0*k**t + 60*k**2 - 38*k**4 - 67*k**4 wrt k?\nAnswer: -2496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from tttrtrr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 406078933 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 223.2 - 223. What is the nearest to -2\/9 in 4\/5, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11496422.\nAnswer: 2, 7, 821173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/16)\/(66\/44)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + sqrt(63) + 2*sqrt(5103))\/sqrt(9).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -15\/14*q**2 - 1\/7*q**3 + 36 + 18\/7*q. Factor v(y).\nAnswer: -3*(y - 1)*(y + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(0 + (sqrt(1216) - (sqrt(1216) + 0) - sqrt(1216)) - (-5 + 2*sqrt(1216))) + 0)**2.\nAnswer: -2160*sqrt(19) + 98721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of u**7\/2520 - 7*u**5\/120 + 7*u**4\/12 + 15*u. Let l(j) be the third derivative of n(j). Give l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1790, 6552, 11300, 16034, 20754, 25460?\nAnswer: 30152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 2:24 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.808 minus 0.43690192699?\nAnswer: -1.24490192699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 1028 = -5825. Let z = 1718 - d. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32191?\nAnswer: 32191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 3*y = -27, 3043*l - 3036*l = -4*y + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14936300 rounded to the nearest 100000?\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 89, -3, -2, 4, -1 in increasing order.\nAnswer: -3, -2, -1, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 17. Let v = l - -19. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -155.23692 rounded to one dp?\nAnswer: -155.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -p, -4*p = -0*p - h - 5. Calculate the common denominator of 23\/14 and p - (-2 - (-54)\/44).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 >= -148\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 15) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.754 and -21.305?\nAnswer: 20.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*f + 850 = -177*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 312a09 (base 11) in base 8?\nAnswer: 1723653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 11:23 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -2\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 2*n + 72. Let p be v(0). Suppose -82*z + 74650 = -p*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-11))\/(203 + -202) + 950\/(-4290).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4429 times 5?\nAnswer: 22145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 3 l when four letters picked without replacement from lljlj?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -40*a**2 - 21*a**4 + 18*a**2 + 14*a**2 wrt a?\nAnswer: -504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1067316 (base 11) in base 7?\nAnswer: 21613166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 19319*q - 31 - 3628*q + 74.\nAnswer: 15691*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/10538729?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 6*j**2 - 8*j - 12. Let p(m) = 7*m**2 - 8*m - 13. Let o be -4 - (3 - 4 - -3). Let d(a) = o*z(a) + 5*p(a). Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2712437 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12264 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -202 + 215. What is the remainder when 30\/(-9)*(-36)\/10 is divided by 2\/f - (-800)\/208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3193590.\nAnswer: 2, 3, 5, 106453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -72 + 145 - 91*o - 73 to the form n*o + z and give n.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5488\/(-496) + 11 + 1221\/186. Which is the nearest to -1\/5?  (a) h  (b) -5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2518 - -2518. Suppose -3*z + 30 = 3*h - 12, -5*z - 3*h = -62. Solve -5*b + z = 0, -d - 3*b + 0*b + 7 = t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 913090.2 years in centuries?\nAnswer: 9130.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 785*b**2 + 8*b - 16. Let g be z(2). Suppose 5*q + 2*p - g + 55 = 0, 2*q - 1253 = 3*p. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -40*k + 46*k. Calculate the least common multiple of 52 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 7*s - 4 - 3*s - 24*s - 33*s + (-1 + 2*s + 1)*(-4 + 6 - 1))*((3*s - 5*s + s)*(-4 + 4 + 2*s) + (5*s - s - 3*s)*(-4*s + 3*s + 0*s)).\nAnswer: 153*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 47, -27, 6, -2 in decreasing order.\nAnswer: 47, 6, 5, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-80)\/28*(-5)\/(-20) - (-19844)\/28644.\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31685.\nAnswer: 5, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3*p + 2 = -13, -5*p = 2*k - 14. Is 24 a factor of (-140)\/k - 4\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.4*-7.1\nAnswer: -9.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*a**3*b**3 + 8*a**3*b**2*g**3 - 7*a*b**3*g**2 - 4*a*b**3*g - 4*a*b**2*g**3 - 2*b**3*g**3 wrt a.\nAnswer: -84*a*b**3 + 48*a*b**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -1\/72  (b) -1\/3  (c) 0.4  (d) 1  (e) 4  (f) -1.54  (g) 16\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - i + 1. Let m(r) be the first derivative of 2*r**3 + 5*r**2\/2 - 5*r - 7. Determine -2*m(d) - 10*y(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*r**3 - 7*r**2 + r - 2 wrt r.\nAnswer: -42*r - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -10*l - 4. Suppose -4*h + 0*o + 3*o - 7 = 0, o + 5 = 5*h. What are the prime factors of h*l*(0 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-284)\/3550)\/(-6*2\/(-15))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 26 = 4*p - 0*b, 3*b + 6 = 0. Suppose 5*v = u - 2*u + 27, -28 = -p*v - 4*u. Suppose -5*h + 0*h - v*n + 4585 = 0, -937 = -h + 4*n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqqq when four letters picked without replacement from {r: 6, d: 3, q: 3, p: 1, f: 3, u: 1}?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -20490?\nAnswer: -1\/3415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - 4*h - 2. Let o(m) = -5*m**2 + 5*m + 2. Let d be o(3). Let c be (-1*d\/8)\/((-2)\/4). Calculate b(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -5*k + 210. Suppose -k = 2*a - 8*a. Is a <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -7*g**2 - 6*g - 6. Suppose 0 = v + 28 - 4. Let t = v - -35. Let h(m) = 13*m**2 + 11*m + 11. What is t*d(z) + 6*h(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = -z + 4*h, -4*z - 3*h = -21060 + 21024 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**3 - 2*v**3 + 86*v - 69*v as k*v**2 + t + i*v**3 + d*v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 24 = -3*u, 2*u - u - z - 3 = 0. Let k(c) = c**2 - 5*c - 10. Let r be k(u). Let y be (-340)\/9 - 6*r\/(-108). Sort 5, y, 1, 4 in descending order.\nAnswer: 5, 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - i + 1. Let j(t) = -22*t + 20. Let o(b) = -j(b) + 2*x(b). Find g such that o(g) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/10*(-10)\/(-2). Let i = d + -5. Suppose 4*q - 3 = -19. Let v(h) = -2*h - 3. Let f(p) = p + 1. Determine i*v(y) + q*f(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, -0.4, -1.8, -3, 0.542?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4423285 is divided by 66.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1\/3, 0.1, -284 in ascending order.\nAnswer: -284, -5, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30870055 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 895*a - 899*a - d - 2, -17*a - 25*d - 410 = 19*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 15) to base 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 + 2*d**2 + 0 - 12 to the form u*d**2 + c + b*d and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2338, 11, 18 in decreasing order.\nAnswer: 18, 11, -2338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 503042*l**4 - 625118*l.\nAnswer: 6036504*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**2 + 20926768 - 3*f**2 + 4*f**2.\nAnswer: -f**2 + 20926768","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-4) - (-1007)\/76. Put 4, 5, b in decreasing order.\nAnswer: b, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -56 - -79. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/(-238))\/((18 - (8 - 3)) + 798\/(-56)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -366*x + 53865 = -433*x - 332*x for x.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87190*p**2 + 118223*p.\nAnswer: 174380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of u**4\/4 + 2*u**3\/3 + 2*u**2 + 2*u + 12. Let w(d) = d**3 + 10*d**2 + 19*d + 21. Let n be w(-8). Give j(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -121220021?\nAnswer: -121220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3929737 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 + -26 + 17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(18) - (4 + sqrt(18)))*-3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {z: 2, n: 2, q: 1, w: 2, y: 1, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/2398820 and 41\/1440.\nAnswer: 172715040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/(-12) - 2\/(-3). Let m = -37\/24 - -515\/336. Let t = m + 33\/112. Which is smaller: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308544007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*h**3 + 39*h**2 + 57*h - 99 = 0. What is h?\nAnswer: -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 222099994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-272)\/68*2*5\/(-1380))\/((-2)\/9)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -14. Let f be 3\/k + 37599998\/(-4). What is f rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -2. Suppose -2*n + 16 = 12. Sort n, i, -5 in increasing order.\nAnswer: -5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 3*u**2. Let n(c) = c**2 - c. Let r(b) = -b. Suppose -3*q = -7*q + 4. Let i(w) = q*n(w) - r(w). Calculate x(i(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 143*a**2 + 2*a - 2. Let w(y) = -2288*y**2 - 33*y + 33. What is 66*f(z) + 4*w(z)?\nAnswer: 286*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121302 - 223103?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 6*p**2. Let k(b) = 2848*b**2. Give k(o(d)).\nAnswer: 102528*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q + 3*m - 2 + 4, -2*q + 5*m + 24 = 0. Let d be (10 - (q - (0 - 2)))\/2. Calculate the highest common divisor of 33 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*x - 12279 = 22158 - 7383. Calculate the remainder when x is divided by 140.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 10:02 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**2. Let m(r) be the first derivative of -r**4\/6 + 2*r - 8. Let w(g) be the first derivative of m(g). Determine w(j(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 262*r - 795. Determine c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 295 = 3*f + 270, 2*f = 6*d - 86 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -459\/5 - -91. Let y(k) = k**3 + 7*k**2 + 68*k + 224. Let f be y(-4). What is the closest to 2 in f, 5, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20782 + -20776.53467. Let u = 10.53456 + y. Let o = -16 + u. Round o to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from jejeejj.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3233472 to the power of 1\/2, to the nearest integer?\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + -2 - (25 + 4). Let g be (-152)\/(-48) + w\/(-30). Solve v + 0*d + 4*d = 3, -g*v + 2*d = 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 494 = -13*d + 754 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2747*q + 2754*q + 45 = -151 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.24 + 0.14. Is 2 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -48*y**3 + 4*y**2 + 5*y - 12. Let q be o(-5). Suppose -5*c + q = -2*k, k = -3*c + 4*k + 3636. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**5\/3 - 67438*p**4\/3 - 112386*p**3 - 606866*p**2\/3 - 472000*p\/3 - 44952 = 0.\nAnswer: -33714, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 7 - 13 = -59, 3*d - 5*k = -59. Factor 0 + 18\/7*u + 30\/7*u**2 + 2\/7*u**4 + d*u**3.\nAnswer: 2*u*(u + 1)*(u + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**5\/480 + 85*l**4\/64 + 4984*l**2. Factor m(w).\nAnswer: w*(w + 255)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -0*f - 5*f. Let m be 1460\/8*(-126)\/f. What is the units digit of m\/(-28) + (-6)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w - 11. Let z be v(0). Let c(f) = f**3 + 12*f**2 + 11*f + 14. Let o be c(z). Solve 0 = 4*m - u + 16, o = -2*m - 5*u - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a85 - b04?\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 12*n - 152. Let u be i(12). Let o(m) = 11*m**2 - 5. Let g(l) = -4*l**2 + 2. What is u*g(r) - 3*o(r)?\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13994*h + 13974*h + 14347 = -20013. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -4*d**2 - 6*d + 4. Let a(f) = -11*f**2 - 17*f + 12. Let i(t) = -3*a(t) + 8*g(t). Calculate i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -588686*n**2*y**4 + 2*n**2*y**3 + 3060*n**2*y**2 - 20*n**2*y + n*y wrt y.\nAnswer: -14128464*n**2*y + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*o - 2120, 0 = -o - 5*a + 628 - 184. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 12:08 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (12\/(-5))\/(2\/(-155)). Suppose -76 + z = 5*w. Let c = 48 - 28. What is the smallest common multiple of c and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2))**(-1\/55)\/(w\/(w\/w**8)*w\/w**(-7)))\/(((w\/w**0)\/w*w)**(-49)*w**(-5)\/(w*w**(6\/5))) assuming w is positive.\nAnswer: w**(2213\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 503 * 1.21357\nAnswer: 610.42571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1729 and 17290?\nAnswer: 17290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2*m**2 + 4153. Let y(b) = -22*b - 2. What is y(k(q))?\nAnswer: -44*q**2 - 91368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/(-6))\/((-2)\/6). Suppose 5*v - 19 = 4*p, -5*v - 3*p = -7 - 5. Solve 0 = -v*u + g*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9245 is divided by 708?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1176, -2333, -8176, -16347, -26840, -39649?\n\"Answer: j**3 - 1173*j**2 + 3*j + 2345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x + 4. Let t(y) = y + 3. Let j(l) = 5*s(l) - 6*t(l). Let q be j(-5). Suppose -148 = 3*o - q*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5089?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*j**2 + 562152*j + 26334572592 = 0. What is j?\nAnswer: -93692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1267 - -1270. Put -4, v, -3, 2 in increasing order.\nAnswer: -4, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*f - 81 = -2*f, 4*s - f - 167 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1779 + -1779.2. Let v = -22 - -29.1. Which is the biggest value?  (a) -3  (b) v  (c) t  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 61 = -29. Let t(i) = i**3 - 15*i**2 + 12*i + 30. Let c be t(14). Put 25, x, c in descending order.\nAnswer: 25, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7630, -14642, -21644, -28630, -35594, -42530?\nAnswer: -49432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 110321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -1417*c + 1415*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0127227259 to 4 decimal places.\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 534531 divided by -178177.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 42686465561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4394124 divided by 1464708.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -120 bigger than -239\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5*k = -177. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36091037449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1790496044?\nAnswer: 2, 293, 1527727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29912 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -501741 greater than -501748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 9*p**2 - 3*p. Let r(g) = g**2 - g. Let h(t) = f(t) - 4*r(t). Calculate the remainder when h(1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2026.1592 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 51741211540031?\nAnswer: 51741211540035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 9*r**2 + 2*r - 5. Let m(y) = 19*y**2 + 5*y - 12. Let k(c) = -2*m(c) + 5*q(c). Let d(b) = 4*b - 1. Let u be d(1). Is k(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 24990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 187 or 8085.1?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, x: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u + 3*v = 2*u - 11, 3*v = -u - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*f**3 + 129*f**3 - 331*f + 332*f)*((3 - 5 + 1)*(-4 + 2 + 0) - 5 + 1 + 0)*(6 - 4 - 1).\nAnswer: -220*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -374 + 357. What is the hundreds digit of -6 + d\/(-3) + 30478\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*v**2 + 0*v**2 + 10*v**2 + 17*v**2.\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 4*w**2 + 3. What is u(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -30, 1\/12, 5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**3 + 5*h**3 - 5*h**3)*(252*h - 173*h + 35*h - 3).\nAnswer: -114*h**4 + 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x - 55 + 11 = 0. Let g(f) be the second derivative of f + 0 - 1\/6*f**x + 0*f**2 - 1\/3*f**3. What is the second derivative of g(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + q + 4. Let p be 0*((-3)\/(-6))\/1. Let d be o(p). What is the third derivative of 5*z**d - 2 + 2 + 4*z**2 - z**2 wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -362, -167, 158, 613?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - g**2 - 12. Let j be d(4). Let y be -1 + (-9)\/j + 25\/4. What is the nearest to 0.1 in 4, y, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 698807774 to the power of 1\/2, to the nearest integer?\nAnswer: 26435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30088 and 26327.\nAnswer: 210616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7661 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 181 - 176 = 4*m, 119 = 17*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - ((9 - (-9 - 6 - -12)) + 38)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -1)\/(115\/(28980\/216))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 6:52 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -464*v + 208*v + 206*v - 2*v + 4*v - 3*v + 2*v + 1 - 1 + (1 + 0 + 1)*(0 - 2*v + 0) + v - 6*v + 3*v - v + 3*v - 4*v + 8*v - 18*v + 8*v.\nAnswer: -59*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, t: 8, x: 7}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuufuuufff. Give prob of picking 2 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 13388.93mm?\nAnswer: 13388930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-10)*(-430)\/3096*-456.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.31  (b) 0  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 9*s**2 + 7*s. Let b be o(-8). Suppose -4*l + p = -b, -l = -4*l - 5*p + 6. Solve -5*f = 2*u + 20, 0 = u + l*f + 3*f + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-5)\/2))\/(23 - 17)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3158 divided by -661?\nAnswer: 3158\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 70 - 121. Let d = -49 - i. Is (4202 + -5)*-3*d\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 45 - 5 = 0. Suppose 2*g = -q + 151, 6*g - 773 = -b*q + 5*g. Suppose -q = -d - 153. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 57*c**2 - 26528*c + 10703. Determine p(465).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6364?\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 860651*d*q + 142*d - 295 wrt q?\nAnswer: 860651*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16666341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79604880, 79604879, 79604878?\nAnswer: 79604877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 275 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2555, 2562, 2577, 2606, 2655?\nAnswer: 2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -357944 by 404.\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 130 - 309070675.\nAnswer: -309070545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31.473 + -34.473. Sort h, 0.18, -0.67 in increasing order.\nAnswer: h, -0.67, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**2 + 1158*g - 1161 = 0. What is g?\nAnswer: -387, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.2  (b) 2  (c) 3  (d) 59\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 38781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**3 - 2*f**2 + 7*f + 26. Determine t(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 13*r + 5. Let z be o(-12). Let v = 42 - z. Suppose 0 = -n + 6*n - v. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 842.3722ml to litres.\nAnswer: 0.8423722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from lswxhhyy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q - 3*q - 4*q)*(1 + 1 - 1) + 3*q + q - 2*q + (3*q - q + 0*q)*(1 - 1 - 1) + 0*q - 2*q + 6*q + 3*q + 2*q - 3*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/25 of a centimeter in micrometers?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 1692.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(6\/13)*j**(2\/29)\/j assuming j is positive.\nAnswer: j**(-148\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**2\/8 + 125*n\/8 + 2775\/2 = 0.\nAnswer: -60, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1890574241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (54*(-299 + 301 + 34\/(-16)))\/(1\/(-8)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7, e: 1, d: 4, r: 2}. Give prob of sequence rd.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*d**7)\/((d\/d**(-5\/12))\/d))**38)**(1\/22) assuming d is positive.\nAnswer: d**(1957\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -28*u**2 + 8*u + 5*u**2 + 24*u**2 - 185 wrt u.\nAnswer: 2*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-330)\/8)\/(30\/120). Let z be (-55)\/w - (-34)\/(-114). Let l = 0 - 0. Which is the biggest value?  (a) 1  (b) z  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 5*r**2 - 5*r + 15. Let o(q) = 7*q**2 + 1. Let l(u) = -82*u**2 - 2*u - 4. Let y(n) = l(n) + 12*o(n). Calculate -2*k(b) + 5*y(b).\nAnswer: 2*b**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/9 - -6 - 6 and 5 + 6\/(-408)*-554*-1?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3005, -5, 4, 2, -474.\nAnswer: -3005, -474, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 10:03 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p + 22. Calculate t(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 + 54. Suppose 0 + 13 = y*m + v, -v + 16 = 4*m. Find the third derivative of 24*j**2 + 1734*j**3 - 1734*j**m - 7*j**4 wrt j.\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gceciddegcwe. Give prob of picking 1 e and 1 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 122\/1357 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -6 - 10 - 3*i + 7 + 4 - 2. Let z(v) = -5*v - 13. Give 7*r(h) - 4*z(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*v**5\/6 + 4250*v**4\/3 - 105190*v**3 + 688855*v**2\/3 + 1492987*v\/6 - 87395 = 0. Calculate v.\nAnswer: -1, 2\/7, 3, 77, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 33\/55 - (-94)\/(-190)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5483 - 5472. Solve -4*z = -8*q + s*q - 22, 2*q + 4*z - 20 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63\/5*w**2 + 0 + 58*w + 1\/5*w**3 = 0. Calculate w.\nAnswer: -58, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 5, -30.\nAnswer: -30, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -906962*t**5 - 2*t**4 - 2*t - 8360 wrt t.\nAnswer: -18139240*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 - 2b5?\nAnswer: -2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x**3 - 2*x**2 - 8*x + 3. Calculate k(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15827 - 7912. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/z**2))**(-3\/11)\/((z**(-7)*z)\/z**(-1\/14)))**24 assuming z is positive.\nAnswer: z**(9948\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 + 4*z**2 - 4*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -2*k + 10, -58*k - 5*u - 2 = -64*k. Let r(x) be the second derivative of -x**3 + 1\/16*x**4 + 0*x**k + 5*x + 0. Suppose r(i) = 0. What is i?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 210 + 10. Let o be (-63)\/(-6)*(-120)\/14. Let t = r - o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 6. Let w be 4\/(a\/5)*-2. Suppose 2*k = 3 + 5. Solve -5*g + 19 = 4*o, -w*o - k*g + 13 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3093 = 4*q + r, -5*q = -41*r + 38*r - 3896. Solve -6*k = q - 787 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-720)\/(-84))\/(6\/(-56)))\/(1\/(-2)). Solve 55*h = -115 - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*9.098078\nAnswer: -45.49039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-228)\/(-570))\/(-2*(-2)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -20031036.\nAnswer: 1\/10015518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j = -j, -16*j = -11*h - 10*j - 9*j - 44 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16\/3 - -86\/15. Let g = -15 - -27. Let j be 8\/g + 5\/(-6). Sort l, 2, j in increasing order.\nAnswer: j, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 26, 41, 56, 71?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -382 and -6.3213.\nAnswer: -388.3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, u: 2}. What is prob of picking 2 z and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-619)\/9 + ((-114)\/27 - -4). Let z = -41 - f. Calculate the remainder when 42 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -3. Let k(c) be the first derivative of -1 + 0*c**3 - c**3 + 0*c**2 + 0*c**f + c**2. Find the second derivative of k(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 127, 263, 399, 535?\n\"Answer: 136*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 3*i**5\/5 - 478527*i**4\/5 - 3*i**3 + 478527*i**2 + 12*i\/5 - 1914108\/5 = 0.\nAnswer: -2, -1, 1, 2, 159509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 2*w - 23. Let q be t(-6). Is q greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3*t + 18 = 3*u, -2*t = 3*u - 40. Let v be 1292\/4473 + u\/(-42). Is v at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 284*j**6 + 26*j**2 + 4*j wrt j.\nAnswer: 34080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14937, -14951, -14965, -14979, -14993, -15007?\n\"Answer: -14*z - 14923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -p**4\/4 - 13*p**3\/3 + 109*p**2\/2 - 95*p + 1174. Factor x(d).\nAnswer: -(d - 5)*(d - 1)*(d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 236363725 by 3.\nAnswer: 236363725\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4926?\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 1 - 6 + 2 + 2 + (-1 - 2 + 5)*(1 - 4 + 1))*(-21*f**2 - 62*f**2 + 18*f**2) in the form x*f + k + s*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 128038 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9815 = -515*m + 510*m. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/(o**(-21)\/o))\/o)\/o)\/o)**(-4)\/((o*(o\/(o**30\/o))\/o)\/(o\/((o*o**(-2\/3))\/o))) assuming o is positive.\nAnswer: o**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.494 - 0.506. What is the closest to 1 in -3, 4, p, -28?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20621776 divided by -202?\nAnswer: -102088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 16.76 and 22.2?\nAnswer: 5.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3739776*q**3*v - 32*q**2*v + 12*q**2 - 452*q*v - 2*q wrt q.\nAnswer: -22438656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 12:40 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-4) + 210\/(-4). Let c be (o\/15)\/4 + 1. What is the second smallest value in -3, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1.844881m?\nAnswer: 184.4881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 4*y - 60. Suppose -5*u + 0*u + y = 0. Suppose 0 = -u*l + 4*l - 11. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 - 92. Which is greater: -149 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -9*p**3 + p**2 + p. Calculate the lowest common multiple of j(-1) and (-4)\/(-14) - (-12)\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.549 + 1.06272041937.\nAnswer: 8.61172041937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 5*t**2 - 18. Let i be x(-4). Let p = -2.27 - -2.5. Let k = -0.07 - p. Which is the third biggest value?  (a) k  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 40 = -5*v, -9*r + 9 = -4*v - 4*r. Solve 5*c - 24 + v = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4*((-21)\/(-6) - 3). Let t = w - -2. Let v be (2 + -1)\/1 + 2. Solve -v*u + 8 - 2 = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 139861\/26 + -5380. Find the common denominator of t and 117\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/7*(-32200)\/1104)\/((-20)\/4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 236240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 1:39 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -774676 divided by -193669\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 5*m**2 - 4*m - 8. Let g be r(6). Suppose -25 = -g*i - 229. Is 9 a factor of 2*(-4)\/(12\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 3)*(6*y - 3*y + 7*y)*(5*y + y - 4*y).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 0.2  (c) 0.388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 572468 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.661055 + -3.\nAnswer: -3.661055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 369\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73556*w**4 - 126*w**3*z**2 + 7*w**2*z**2 + 61*w**2 + 11*w*z**2 - w*z wrt w.\nAnswer: -1765344*w - 756*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.13202 - -0.26798. Which is the closest to 2?  (a) 4\/3  (b) 1.81  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 5*o**2 + 5*o + 1. Calculate u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8294370 is divided by 224172.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -32*(1 + 9\/(-3)). Let o be ((-16)\/12 + 0)*-12. Calculate the greatest common factor of p and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1898 or 2529?\nAnswer: 1898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212*b**3 + 1744*b**2 - 493*b**2 - 626*b**2 - 625*b**2.\nAnswer: -212*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*h - 159, 5*w + 217 = 5*h + 1112. What is the highest common factor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 57 and 100870050?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q - 4. What is the lowest common multiple of c(-11) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 3 - 5)*(2*q + 5*q - 4*q) + 2*q - 8*q + 2*q)*(-2 + q + 0 - 5).\nAnswer: -7*q**2 + 49*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9230.\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*q - 5*q + 2*q + 0*q - 6*q to the form o*q + g and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4169 less than 81478696?\nAnswer: 81474527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 322 - 130?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 282777 and 111093.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 365*u**3 + 332*u**3 - 645*u**3.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 619957 or 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -134, -142, -150, -158?\n\"Answer: -8*t - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 862467601.\nAnswer: 71, 883, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*z - 76 = 46 - 88. Factor 1\/5*r**3 - 1\/5*r - 2\/5*r**z + 2\/5.\nAnswer: (r - 2)*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -3*i + 2*q - 6*q, -q + 23 = -2*i. Let x(k) = k**2 + 12*k + 14. Let b be x(i). Suppose -3*j - b*t + 34 = -2, -3*t = -6. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*k - 16*k**2 - 60*k**5 + 14*k**2 - 7*k wrt k?\nAnswer: -3600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43270*v**2 + 85*v - 16?\nAnswer: 86540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5426630 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -186.119*-43\nAnswer: 8003.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-8)*(15 - -1))\/((-90)\/(-45))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/2)\/((-95)\/190)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**5 + 2610*w**4 + 834342*w**3 + 117421380*w**2 + 6811433775*w + 135005555250 = 0. Calculate w.\nAnswer: -255, -59, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/2 - p\/2 - 190.\nAnswer: (p - 20)*(p + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 10*h - 3. Calculate the remainder when 28 is divided by c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z. Let h(q) = 2*q. Let y(x) = -h(x) + 3*i(x). Let a(f) = f**2 - 4*f + 4. Let g(l) = 3 - l + 0 - 2. Let t(n) = a(n) - 4*g(n). What is t(y(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*k**2 - 3*k**2 + 3*k**2 + 2*k**3 + 12*k**2 + 5 - 6*k as t + b*k**2 + r*k + j*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -744, -2517, -5472, -9609?\n\"Answer: -591*y**2 - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 10:13 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/99?  (a) -3.4  (b) 678  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2. Let b(p) be the second derivative of 0*p**3 + 3\/2*p**4 + 0 + 221*p + p**2. What is g(b(v))?\nAnswer: 324*v**4 + 72*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -0.052  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/29 + 148\/1305. Let q = -2 - -3. Do g and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 2*s - 4 = 0, 2*s = -5*i - 1 - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000945 rounded to six decimal places?\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (17 - -7) + -9 - (0 + 7) - -7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 5*h**2 + 3*h + 63. Let s(v) = v**3 + v**2 - v + 1. What is g(a) + 3*s(a)?\nAnswer: 2*a**3 - 2*a**2 + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qgqllgglgqqq?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 6874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*n - 6. Let d(o) = 4*o + 7. Let m(v) = -v + 1. Let q(z) = -z. Let l(h) = 2*m(h) - 3*q(h). Let t(x) = n*d(x) + 7*l(x). Let p(a) = a. Give t(p(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-82))\/((-8)\/3*(-4524)\/(-12064))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -5 - (2 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 5457.923010264 and -11.\nAnswer: 5446.923010264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18676268.\nAnswer: 2, 13, 17, 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -331.34 and 0.048?\nAnswer: -15.90432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -339 + 342. Solve 0*r = x*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/54 or 0.04?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) 1  (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -1\/4  (c) -4  (d) -217  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3820321\/11892 - 4\/2973. Suppose 1361*u - 5056 = 1377*u. Let h = f + u. Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 + 13)*(3 + -3)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 3:30 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 5*d**2 + 10*d - 20. Let u be x(-7). Solve -18*q = -u*q + 40 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1898*r + 1800*r + 178654. Which is smaller: 1822 or r?\nAnswer: 1822","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 449072.2um?\nAnswer: 449072200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1188) + sqrt(1188) + (6*sqrt(1188)*2 - sqrt(1188) - sqrt(1188)) + sqrt(1188) + sqrt(1188))\/((1*sqrt(33)*-2)\/sqrt(11)).\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**2\/u*u)**(3\/5)*(u*u**(-1\/4)\/u)\/(u**(-6)\/u)*(u\/u**1)**33*((u\/(u**0*u))\/u)**16 assuming u is positive.\nAnswer: u**(-161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 97.18 - 96.78. What is the second smallest value in -34, -7, -3, 1\/5, d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**2 + 344181*s + 980 - 344181*s to the form n + y*s + d*s**2 and give n.\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.5 + -266.713733173.\nAnswer: -265.213733173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 - 51 + 10514*v**2 + 8230*v**2 + 51999*v**2.\nAnswer: 70743*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13869235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 178240991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -25 + -36 + 73 + -7 + -2 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 107199548*c + 81746918 wrt c.\nAnswer: 107199548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v - 246 = 469. What is the least common multiple of 35 and v?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/61760 and 17\/741120.\nAnswer: 741120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + (350544\/180)\/67.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/34 and 103\/6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 4  (c) 20  (d) 4\/7  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 7 + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1143300 (base 8) to base 2\nAnswer: -1001100011011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 20ae5 (base 15) to base 9\nAnswer: 167238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -81\/175 - 7691\/6825. What is the common denominator of 17\/351 and k?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gohehgeai. Give prob of sequence ahi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*g**5 - 20*g**3 + 10*g**2 + 15*g - 10 = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*d + 65*d = -4*x - 62, 0 = -4*d - 11*x + 7 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 5*w, -27*q = -22*q + 5*w + 30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/((11\/(-44))\/((-4)\/16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*r - 14 = 0, -4*j + 0 = -2*r + 10. Which is the third smallest value?  (a) j  (b) -4  (c) -5  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - -8 - (0 + -1) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z\/(z\/z**(1\/10))))\/z**(1\/2))\/(z**(-1\/2))**(-43)*(z**(4\/11)\/z**(-1\/8))\/(z**7\/((z**(-6)\/z)\/z)) assuming z is positive.\nAnswer: z**(-16109\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -84 - -a005?\nAnswer: 9e71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of h**4\/12 - h. Let a(p) = -157*p - 155*p - 161*p - 19 + 623*p - 5 - 152*p. Give f(a(u)).\nAnswer: 4*u**2 + 96*u + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 765\/25021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 71 and -198.5.\nAnswer: -127.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -4*z + 12. Suppose z = 2*c - 1. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 47436 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 + 46. Let i(s) = 13*s**2 - 5*s - 27. Let k(c) = 84*c**2 - 32*c - 176. Let f(p) = y*k(p) - 32*i(p). Factor f(u).\nAnswer: 4*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42.7 + 43. Let o = 8 - 9.3. Let z = 0.3 + o. Is z at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 192 + 197 + 3*u - 389. Let w(g) = -3*g + 12. What is i(w(l))?\nAnswer: -9*l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 324\/(-1620) + (-528)\/(-2440).\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/23, 0.026, -1, -4 in ascending order.\nAnswer: -4, -1, 0.026, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -377*z + 1634 = -3057 - 5865 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -0*u + 3*t + 27, 2*t = -5*u - 28. Let p = u - -11. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -41 + 35. Is (-978)\/i + 2 - 0 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - g - 56 = 0, 2*u + 0*u + g - 34 = 0. List the prime factors of (9\/u)\/((-3)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + (7 - -47 - 46)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 1. List the prime factors of t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -83 + 84. Let l(o) = -9*o**2 + 2*o + 2. Let f(z) = z**2 - z - 1. Determine j*l(n) + 2*f(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.44 - -1.34. Which is the nearest to 0?  (a) -28  (b) -0.2  (c) 2\/11  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1613247, -1613238, -1613227, -1613214?\nAnswer: -1613199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 166737933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 10*a - 10. Let n(h) = 2 - 5 + 4 - 4*h + 3*h. Let u(m) = -m**2 + 14*m + 31. Let y be u(16). Give y*d(s) - 8*n(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-100)\/8*(15\/25 + -3). Which is bigger: i or 86\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 252582, 505137, 757660, 1010151, 1262610, 1515037?\n\"Answer: -16*r**2 + 252603*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-120))\/(22\/12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*f + 28*f**2 - 30*f - 34*f - 1496 + 1494 - 130*f**2.\nAnswer: -102*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001100111 + -100?\nAnswer: -1001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 607 + -513. Suppose 16 = -86*r + c*r. Solve -2*z - r*o = 0, 4*z - 2*z + 4*o = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 78656.8l?\nAnswer: 78656800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3 + -6)\/(6\/8). Let y be (-7 - n)*-5 + 3. Solve 10 = -2*g - 2*w, 3*w + y = -3*g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -37. Let o = j - -32.00032. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -3  (c) 9  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01322 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((28\/5)\/(-2))\/(((-12648)\/(-170))\/93)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 + k - 1. Let s(d) = 6*d**2 + 4*d + 16. Let x(f) = 5*p(f) + s(f). Let l be x(-8). Let c(q) = -1 + 2*q + 0*q + 0*q - l*q. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42750181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 33046709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2.7, -2, -2\/3 in decreasing order.\nAnswer: 2.7, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p - 3 + 3. Let b(s) = 2*s + 2. Let o(n) = 3*n + 3. Let f(j) = 4*b(j) - 3*o(j). What is 2*f(h) + u(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 3 = -3*d - 8, -3*d + 1 = -5*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s + 5*g + 15, -3492*g + 3488*g = -s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*a - f, -5*f + 7 = 3*a + 19. Suppose 2*c - 40 = -2*c. Suppose c = -3*q + 8*q. Solve 0 = w + 2*l - a, -2 = q*w - 5*l + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -9\/343  (b) 0.23  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -184 * 102730.\nAnswer: -18902320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13844488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 637\/4?  (a) 3  (b) -2  (c) -2\/3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -165256, -165261, -165262, -165253, -165228?\n\"Answer: x**3 - 4*x**2 - 165253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 527631 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -583 - -584. Which is smaller: y or -3\/52?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 10, k: 9, r: 1}. Give prob of sequence kurk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**5 + 4118*o**4 + 4260029*o**3 + 42324760*o**2 + 139372116*o + 151880976 = 0 for o.\nAnswer: -2054, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 961545.\nAnswer: 3, 5, 13, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2715 by -5.\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l**2 + 278. Let r(d) = -4*d - 289. Give j(r(a)).\nAnswer: 64*a**2 + 9248*a + 334362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 11:56 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.13, -252, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46645?\nAnswer: 5, 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -14*u + 5. Calculate the remainder when 279 is divided by f(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 9:02 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -37512 divided by 3?\nAnswer: -12504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -3, 250 in descending order.\nAnswer: 250, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52530 divided by -51.\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 9.2. Let s = j - 1.1. Which is the third biggest value?  (a) s  (b) 0.2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6187, 6125, 6047, 5953, 5843, 5717, 5575?\nAnswer: 5417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9362234 + 0?\nAnswer: 9362234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43404 divided by 2.\nAnswer: 21702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28198, -56307, -84332, -112273, -140130, -167903, -195592?\nAnswer: -223197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-453)\/(-27) + 2\/9. Let f(y) = y + 12. Let t be f(-6). Let u = n - t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 2*z + z - 8, 3*z - 10 = b. Suppose 2*g + 26 = 5*h, 1 = -b*h - 2*g - g. Suppose 61 - 21 = h*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -215 + 0.47.\nAnswer: -214.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3551 (base 14) to base 5\nAnswer: 244113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + -4*sqrt(88) + sqrt(88))*4 - sqrt(88))\/(sqrt(32)*-3).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**2 - j + 1. Let r be t(1). Let u be (2 + -4)\/(r\/8). Suppose u*l = 5*l. Solve -4*x - x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1712\/2140)\/(2\/5). Factor -14\/17*v**s + 2\/17*v**3 + 16\/17*v + 32\/17.\nAnswer: 2*(v - 4)**2*(v + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 7*f - 6. Let k(n) = 5*n**3 - 74 - 5*n + 4 - 20*n - 4*n**3 + 21*n**2. Let i be k(-22). Determine h(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62 - 61.76. Round b to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -2\/15  (b) -2  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -122*m - 94. Give z(-4).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(637) + 2 - sqrt(637).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 453591 + 70391 + 33665 = 73*n. Is 7638 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from gdggdd?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 70967119 to the power of 1\/2, to the nearest integer?\nAnswer: 8424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)\/(2*sqrt(5)))\/(-4*(sqrt(8)\/sqrt(4) + sqrt(2))).\nAnswer: -sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 125396017, 125396016, 125396015?\n\"Answer: -y + 125396018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - 904?\nAnswer: -903.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -422 - -112. Let n = -687\/2 - f. Find the common denominator of n and -3\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-2)\/8)\/((-64)\/404) and -73\/9?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -5*c**2 + 237*c - 2787. What is n(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 6:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2985.48 and 52.\nAnswer: -2933.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -581535.7 to the nearest one thousand.\nAnswer: -582000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-6)*(-3 - -1). Let a = j + 3. Suppose -2*z + a = -34. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.596020775 rounded to four dps?\nAnswer: 0.596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**2*n**3 + 2270308*a**2 + 2*a*n**3 - 8*a*n**2 - 2286*a*n + 27*n wrt a?\nAnswer: 6*n**3 + 4540616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/(-15))\/(2\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15547 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a06e - -2?\nAnswer: 1a070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/(-20))\/(6\/(-10))*(-38)\/(-114)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -y + 3*d, 2*y - 23 = 7*y + 2*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 152 and 133?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/5, -1, 0, 14980, 2\/5, -4, -0.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -3*d**2 + 19*d - 1. Let v(r) = -4*r**2 + 29*r - 1. Give 5*v(p) - 7*y(p).\nAnswer: p**2 + 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50 + h**3 - h**2 - 52 + 5*h**2 to a*h + z*h**2 + d + g*h**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.78 - 0.48. Let n = y + -2.6. Let d = 0.70000125 - n. Round d to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*36\/(-56)*79\/237?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 12:29 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 1157*d + 68. Let g(u) = -386*u - 25. Calculate -11*g(x) - 4*z(x).\nAnswer: -382*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(4 + -3)\/(2 + -1). Suppose i*h - 55 = 3*t - 2*t, -h - 3*t = -5. Calculate the remainder when h is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -8*n + 2*n. Differentiate n*a + 26 - 17 + 20*a with respect to a.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/(-3*sqrt(10)))\/((sqrt(100) - -2*sqrt(100))\/sqrt(10)) + -1*(sqrt(882) + 0 + 6*(-1 + sqrt(18))))**2.\nAnswer: -1408*sqrt(2)\/3 + 250724\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -72, -4, 0, 2, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 297720*t**3 - 22*t**2 - 54014361?\nAnswer: 893160*t**2 - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 2*n + 0 - 2*n**4 + 0*n in the form f*n + h*n**4 + d*n**2 + c + j*n**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 215\/(-5) + (-162 - -211) - 133?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 69 - 66.9. Let j = 0.1 - h. Let k be 1*((-2)\/6 - 0). What is the nearest to k in -5, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 + 31*t**2 - 16*t + 4. Let b be l(-16). Find the third derivative of -3*s**b + 7*s**2 - 270*s**5 + 3*s**4 + 5593*s - 5589*s wrt s.\nAnswer: -16200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1830, 3665, 5500, 7335, 9170?\n\"Answer: 1835*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -111, -259, -477?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-465)\/15)\/248*-140)\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.17 bigger than 2782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -1370.\nAnswer: -1370, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3314979 and 12154923?\nAnswer: 36464769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -7*j + 3*j - 36, 2*f = j - 9. Let z be ((-20)\/3)\/(2\/f). Calculate the greatest common divisor of z and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2353448, 2353104, 2352760, 2352416?\n\"Answer: -344*u + 2353792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8825457.\nAnswer: 3, 2941819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50890 is divided by 62.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -3\/5  (c) 4  (d) 0.16  (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.14399885 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from memmw. What is prob of sequence ew?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1249 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*-3*12\/918?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**4 + 0*v + 0*v + (2*v + v - 2*v)*(-2*v**3 + 2*v**2 - 2*v**2) - 3*v**4 + v**4 + 0*v**4 - v**4 + 0*v**4 - 3*v**4 + v**2 + 0*v**2 - 40*v**4 + 17*v**4.\nAnswer: -32*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 38, 61, 76, 77, 58, 13, -64, -179?\n\"Answer: -t**3 + 2*t**2 + 24*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 3*a - 1 = -2, 9 = 5*i - 4*a. Let o(n) = -n**3 - 2*n**2 - 6*n + 0*n + 5 - 7*n**2 + 2*n**2. Let v be o(-6). Solve -3*j = i + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*q = -2*q - 390. Calculate the greatest common divisor of 208 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 315822317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 17*k**2 + 15*k - 29. Let c be y(-18). Suppose 0 = -3*i + 5*o - 1402 + 4546, c = 5*i + 2*o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -1083*q**5\/5 + 775*q + 500. What is the first derivative of p(h) wrt h?\nAnswer: -4332*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c**2 + 21*c + 20. Let u = 8 + -14. List the prime factors of w(u).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1200 and 120?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 11. Let g be 2\/q - (0 + 9\/(-6)). What is b in 4*b - 3\/2 - 5\/2*b**g = 0?\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(605)*-3)\/sqrt(11))\/(sqrt(45)\/((sqrt(324) - sqrt(324)*1) + sqrt(324))).\nAnswer: -108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -42493542 divided by 60879?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 1  (b) -2\/437  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 346421005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 5 + 35. Let k = -8 - z. Let s be 1 + (k - 0 - -3). Do s and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(330)\/(sqrt(30)\/(sqrt(3)*2)))\/((sqrt(11) + sqrt(495)\/sqrt(5))*-2*5).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-9) + (-8)\/3. Let f be (18\/2)\/(s\/(-2)). Suppose 4*j - 311 = f*n - n, -2*j + 136 = 4*n. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35853097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 5*g - 70, 4*b = 2*g + b - 13. Let z(x) = -x**2 + 10*x + 10. Let n be z(g). What are the prime factors of (4 - (-44)\/12)\/(n\/(-9))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 8 = 4*w. Suppose -8 = -2*h - w*h. Solve p + 4 = h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6783388ml in litres?\nAnswer: 0.0006783388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3516 + -3513. Sort 13, -3, -6, 19, y in ascending order.\nAnswer: -6, -3, y, 13, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 + -42. Let j = y - 22.1. Which is smaller: -2.6 or j?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccwwwwcw. What is prob of picking 2 w?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (2 - -2) + -7 + 83 and 4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2*q = 12. Let l be (-56)\/q - 6\/(-18). Solve -3*j + 7*j + 3*f + l = 0, -2*j - 12 = 2*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48906852 by -339.\nAnswer: 144268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -111323 (base 4) to base 12\nAnswer: -98b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 345047296 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of -2\/3*g**5 - 56*g + 0 - 75\/16*g**4 - 1\/48*g**6 + g**2 + 135\/2*g**3. Factor j(h).\nAnswer: -5*(h - 2)*(h + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1894188407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1706730 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 55, 2, 5, 10.\nAnswer: -1, 2, 5, 10, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -91*p + 391. Determine f(5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-68)\/(-17) + 72\/(-8). Put m, 3, -2, 1, -11 in decreasing order.\nAnswer: 3, 1, -2, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9368, -4\/5, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18\/(-10)*5\/4*(-1008)\/378. Let b = 18 + -26. Let n be (b\/6)\/(7\/(-21)). Solve -n*a = j - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2833 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 16)*(-14)\/28. Let t = 10 + 0. Let i = t + h. Solve -i = 3*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 53. Does 8 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q + 4*q + 1764. Suppose 140 = -2*o + q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119129453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 291105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + 0.2. Let f be (1\/(45\/(-2)))\/(756\/(-14545)). Let v = f + 1\/486. Put v, r, 10 in ascending order.\nAnswer: r, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i + 20. Let k(x) = x - 1. Suppose -1 = 5*d - 2*w, -2*d - 4*w + 17 = w. Let y(o) = d*k(o) - z(o). Find the first derivative of y(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -u, 4*z - 2*u + 4 = 6*z. Suppose -5*t - z*g + 16 = -79, 62 = 3*t + 4*g. Calculate the greatest common divisor of t and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 15*u + 30. Let h be ((-64)\/(-8) - 27) + 7. What is r(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rqmimsrst. What is prob of sequence sitr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24582 is divided by 2727.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (8021\/32084)\/((((-4)\/2)\/264)\/(-1))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 13) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzzjmjwqqzmz. What is prob of picking 1 j and 2 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1641354 and 2211.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -5, 2\/2503, 2.\nAnswer: -5, 2\/2503, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, 8, -3, -977, -10 in increasing order.\nAnswer: -977, -10, -4, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*g, 2*m + 2*m = -g + 987. What is the remainder when 1*m\/(2 + 2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -25*i**3 + i**2 + 11. Let a(q) = 24*q**3 - 28*q**3 + 9*q**3 - 2. What is -11*a(n) - 2*x(n)?\nAnswer: -5*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138*t**3 - 159*t**2 - 214*t\/3 - 1 = 0. Calculate t.\nAnswer: -1\/3, -1\/69, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + 1. Let s(b) = -b**3 - 8*b**2 + 15*b + 245. Let x be s(5). Put z, 4, -4, x in descending order.\nAnswer: z, 4, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163897028.\nAnswer: 2, 40974257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197 = -3*z + k, -3*z + 174 = 4*k + 2. Suppose 3*o + 5*m - 54 = 0, -2*o - 7*m + 36 = -4*m. What is the remainder when z is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1509095 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) 3  (b) -0.2  (c) -1  (d) 5\/16  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2882 and 33274.\nAnswer: 366014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 13, 2 in decreasing order.\nAnswer: 13, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 - 21*p + 1144. Give d(-41).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h**2 - 2*h + 2. Suppose 0*m = -3*m - 15. Let q = 17 - m. Calculate the lowest common multiple of k(3) and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -s + 554, 0*s + u + 563 = s. Let t = -2 + 5. Suppose -t*i + 319 + s = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t*t**0*t)*t*t*t*t**(-10)*(t\/(t\/(t\/(t\/t**0))*t))**(-2\/29))**(-43) assuming t is positive.\nAnswer: t**(8643\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, y: 1}. Give prob of sequence yd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*y + 4*k - 135, 81*y + 2*k - 5 = 82*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*u - 5. Suppose -k - 3*x = 1, -u*x + 21 = 5*k - 0*k. Let p = k + 2. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4*n = -2. Does 13 divide (-25 + 26)\/(n\/26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 AM and 2:42 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -15*l**3 - l**2 - l - 1. Determine f(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vaqvj. Give prob of picking 1 a and 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252 and 188412.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 7) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*p**3 + 9*p**3 - 5*p**3.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4525614.\nAnswer: 2, 3, 103, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -21*x**3 - 2*x**2 + 3*x - 1. Let n be w(2). Let r = 1199\/7 + n. Let c = -39.8 - -40. What is the closest to r in -4, -4\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -16*h**4 - 4*h**2 + 23*h - 4. Let k(r) = 17*r**4 + 3*r**2 - 23*r + 3. Let z(n) = 4*k(n) + 3*w(n). Find the second derivative of z(c) wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4\/5, -3, -145, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/6*(0 + 8\/(-6) + 210439\/169014)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -3 + 21. Suppose -3*d + h = -0. Suppose 0 = 3*u - w + 4, -25*u + w - 1 = -23*u. Sort 4, d, u, -2 in increasing order.\nAnswer: u, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4291, 8593, 12895, 17197?\n\"Answer: 4302*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 15\/43  (b) 9  (c) -1\/11  (d) 639  (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 882.4 and -25914?\nAnswer: -22866513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + (-3)\/((-101601)\/33870). Let w = 214441\/564450 + p. Calculate the common denominator of w and 39\/(-27)*21*(-57)\/(-38).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -20. Solve -v = -x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 435 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4216 + 33*x - 4229 + 8354)*(-x + 0*x + 3*x)*(4*x**2 - 3*x**2 - 2*x**2)*(0*x - 2*x + 3*x).\nAnswer: -66*x**5 + 182*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 + 3*l - 5. Let v be f(-5). Suppose -2*i - i = -a + v, -a = i - 9. What is the lowest common multiple of a and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*i**5 - 1950*i**4 - 565*i**3 - 6005*i**2 - 8*i + 37 wrt i?\nAnswer: -600*i**2 - 46800*i - 3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -24*a + 19. Let f be t(-14). Suppose -34*p - f = -39*p. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 44*w**2 + 117*w + 269. Give i(-3).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 29 + 19. Let z = x + 4. Let k = -2 - z. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - 1aac01?\nAnswer: -1aac03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -3, 0.034, 0?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + -2 + (10 - 2). Suppose -4*m - 2 + 81 = -5*l, 2*m + l = 29. Suppose -q*x - m = -84. Calculate the remainder when 48 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23 + -18. Suppose -6 = 2*d + 4, -2*t + 41 = -5*d. Is n greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x + 5. Let o be 1*-2*(-10 + 5). Let q(i) = -2*i + 3. Give o*q(t) - 6*k(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99996 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 + 212952*t + 11337138576.\nAnswer: (t + 106476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z**2 + 4*z + 1. Let q(i) = -i**2 - i. What is 2*q(k) + x(k)?\nAnswer: -4*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/(-70) + (1856\/112)\/(-29) - (-55)\/(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79782273 or -79782276?\nAnswer: -79782273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -486098002 - -3\nAnswer: -486097999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1343159 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 1 + 5. Suppose -u*w + 65 = 3*w. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 433, 44836 in increasing order.\nAnswer: 1, 433, 44836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68190, -68188, -68186, -68184, -68182?\nAnswer: -68180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 6, h: 1, v: 2, j: 1, w: 2, i: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -304 - -401. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -742296*k - 18557404. Calculate r(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3523817807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1483 - -1492. Put -0.17, 4, p in decreasing order.\nAnswer: p, 4, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/298 and -75\/4.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/10 - (-2)\/5. Suppose -b + 0 + 6 = d. Suppose 2*g + 4*m + b = 0, 6*g - 7*g - 12 = 5*m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/((-221)\/78)*72\/192.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of h**3\/6 + 163*h - 2. Let g(q) = -11*q**2 - 56. Determine g(y(w)).\nAnswer: -11*w**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 6*w**2 - 7*w + 8. Suppose -14 = 4*r - 38. Let u = 13 - r. Calculate the smallest common multiple of q(u) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -23*c**2\/2 + 1471. Let f(j) = 23*j. Give 6*f(w) + 7*l(w).\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Sort -211039, -4, -2 in ascending order.\nAnswer: -211039, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-22)*224\/(-112)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 4 + 4 - v**2 + 1 to r + x*v**2 + a*v and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -2450, -4\/7, 0.2 in descending order.\nAnswer: 0.2, 0.03, -4\/7, -2450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u + u + 0*u - 4*a = -68, 0 = 13*a + 39 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 - 3*a - 2. Let v be d(-1). Solve 4*k + 2*p + 6 = -v, 4*p = -3*k - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1134 a factor of 17502518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 609585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 21*b**2 - 1. Let q be 13\/(-2)*(-576)\/624. Calculate the remainder when 50*2*q\/8 is divided by m(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3021*b**2 - 182762620*b + 182762620*b as z + m*b**2 + c*b and give m.\nAnswer: 3021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of 0*i + 0*i**3 + 0*i**4 + 3\/5*i**5 - 2 - 5\/2*i**2. Find the second derivative of f(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q - 4. Let z be x(4). Let s be (-2 + z)\/(18\/(-7893)). Suppose -2*v - 4*l = -458, 4*v - 5*l - s = -0*l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d3d669 (base 14) to base 9.\nAnswer: -14387527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d + 0*d + 4*d + 3*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/928 and 15\/5108?\nAnswer: 1185056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20548 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77889639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12 + 0*(-14)\/294. Solve -14*f + 4*q - 6 = -u*f, 3*f = -2*q - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**5\/k*k**8*(k\/(k**(-3)\/k))\/(k*k**7*k)*((k*k\/(((k*k**3)\/k)\/k))\/((k**(-1\/10)\/k)\/k))**(-1) assuming k is positive.\nAnswer: k**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 11*z = -6. What is the units digit of (-331)\/z*2\/(-4)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.07 and -376270201?\nAnswer: 376270200.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**2 + 31. Let f(c) = -19*c**2. Give x(f(s)).\nAnswer: 361*s**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*1)*3 - (3*sqrt(84)*4 - sqrt(84)))\/(sqrt(12) + sqrt(120)\/sqrt(360) - sqrt(108)\/sqrt(9)*-2).\nAnswer: -30*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 58 and 6206?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -18, -0.01, -0.29, 0?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of -o**3\/6 - o**2\/2 - o\/2 - 2. Suppose f(s) = 0. Calculate s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, d: 10}. Give prob of sequence ddcc.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 7  (b) -1\/20  (c) -22  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 223215380657 and -0.5.\nAnswer: 223215380656.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55 and 17105.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4*t**3 + 6)*(-1 - 1 + 3)*((-2 + 1 + 0)*(2 - 2 - 2) + 2 - 2 + 2)*(-91*t**2 + 41*t**2 + 33*t**2).\nAnswer: -272*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6890 = 175*t - 6410. What is the highest common factor of 551 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w - 3. Let t = 76 - 69. Give b(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13755*y**2 - 6*y + 5097.\nAnswer: 27510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 3733*m**3 - 1667*m**3 - 1 + 2.\nAnswer: -5400*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 25654804 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18073 + -4429. Suppose -5*y + 5 = 0, 0 = 6*a - 3*a + 3*y - j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -647 + 2*z - 8*z + 594. Calculate the lowest common multiple of ((-2)\/6)\/(1\/(-3)) and k(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6444*w = 6177*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 200311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h**2 - 4*h - 3926. Let s(c) = -11*c**2 - 9*c - 7860. Determine 7*b(w) - 3*s(w).\nAnswer: -2*w**2 - w - 3902","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t - 1 - t - t - t**2. Let z(a) = 5*a**2 - 3. Let r(q) = 4*j(q) + z(q). Let v be r(6). Solve 10*f = v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.225 to 1 dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 8*v**2 + 9*v + 13. What is the tens digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12.829 and 5.8019584.\nAnswer: 18.6309584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201320 is divided by 621?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 347.3807 millilitres in litres?\nAnswer: 0.3473807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -5*h**4\/24 + h**3\/6 + h**2 + 10. What is the derivative of v(a) wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x - 6. Let g be o(-11). Suppose 7*s = g*s + 44. What is the smallest common multiple of s and 10\/4*(1 + 7)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*g - 4 = -34*g. Suppose g*c - c = 0. Suppose -p - p + 10 = c. Solve u + 10 = -3*m, m - p*m - 20 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -40*b - 4. Let n(x) be the first derivative of -10*x**3\/3 + 6002. Calculate n(v(w)).\nAnswer: -16000*w**2 - 3200*w - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from reqqlqhraqlr. Give prob of sequence rha.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (5 + -6)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -6 + -5 + 1 + 11 + 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 12924882 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -2*t**2 + 11*t + 4 - 1\/12*t**4 - 5\/6*t**3. Factor m(o).\nAnswer: -(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 20*o - 3. Let v be ((-3)\/(-1))\/3 + 2. Let a(s) = 5*s - 13 + 7 - 12*s + 7. Calculate v*b(n) + 8*a(n).\nAnswer: 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - j = -16. Solve j*r - 10 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - -15 - 29 - -26.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -6*(sqrt(7)*-1)**2*3.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.04 + -0.62. Let x = b - -4.28. Round x to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**3 + 82*p**2 - 76*p - 26. Let a be q(40). What is the highest common factor of 8 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*l + 39850 = -56106. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4290857194.\nAnswer: 2, 13, 8839, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19582 is divided by 627?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**2 - 3*v**2 - 2*v**2 + (1876 - 3*v - 3888 + 1892)*(6 + 4*v - 6).\nAnswer: -14*v**2 - 480*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1376927364 to the power of 1\/2, to the nearest integer?\nAnswer: 37107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 3*m + 3*m + (-1 - 1 + 1)*(7*m + 7*m - 12*m - 2).\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 3 = 3*a, -n + 13 = 5*a - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12361*t - 80*t**2 + t**3 - t**3 - t**3 - 12371*t to j + w*t**2 + f*t + h*t**3 and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 10*q**2 - q - 6. Let a be m(-10). Solve -2*w = a*j - 2, -1 + 9 = -3*w + 5*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -207 and -1176721.114383.\nAnswer: -1176928.114383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 350 and 1365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((2*sqrt(152))\/sqrt(8) + 2*sqrt(38)\/sqrt(2) - (-1 + (sqrt(1539)*-2)**2))*-4.\nAnswer: -16*sqrt(19) + 24620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*v, 2*v + 110 = -2*g + 1618. Let y = g + -530. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -461, 32, -4, 345, 4, -2.\nAnswer: -461, -4, -2, 4, 32, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42047 is divided by 1485?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 302.5494 litres in millilitres?\nAnswer: 302549.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69245 divided by 40.\nAnswer: 13849\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -18, -33, -48, -57, -54, -33, 12?\n\"Answer: s**3 - 6*s**2 - 4*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2. Let i(p) be the third derivative of p**8\/10080 - p**5\/15 + 3*p**2. Let v(w) be the third derivative of i(w). Calculate v(q(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -578 in 1187, -1, 1, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16329738.\nAnswer: 2, 3, 509, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eexe when four letters picked without replacement from eexxxxxxexx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5731306680.\nAnswer: 2, 3, 5, 11, 19, 228521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 13*h**2 - 296*h - 15326. Calculate b(-25).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 200*t**2 - 241*t + 1179. What are the prime factors of o(5)?\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*t + a + 8, -5*a = 5*t - 4*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 4, -12, -1, -24786.\nAnswer: -24786, -12, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 139*x**3 + 26*x**2 - 26*x - 16. Let b(g) = 35*g**3 + 6*g**2 - 6*g - 4. Determine 26*b(k) - 6*d(k).\nAnswer: 76*k**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3*n**2 - 1)*(0 + 0 + 2*n) + 20*n**3 - 226*n + 226*n.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 8*u + 55 = -65 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -152 + 210. Let l = 71 - d. Which is the third biggest value?  (a) 0  (b) l  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25984673*z + 37684591 wrt z?\nAnswer: -25984673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 3*y**4\/7 + 54924*y**3\/7 + 335274354*y**2\/7 + 682952943948*y\/7 + 3406389724515\/7 = 0?\nAnswer: -6101, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2 + 18*n - 5*n + 18 + 7. Let t(l) = -l - 2. Let q(b) = 1. Let m(w) = -q(w) - 6*t(w). Let d(a) = -9*m(a) + 4*z(a). What is d(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 116 = 2*r - j, -3*j = -3*r - 186. Let x = 63 + r. Solve -2*l + x*l = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -619 - -885. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*b**3 - 1 - 29*b**3 - 34*b**3 + (2*b**2 - 4*b**2 + b**2)*(3*b + 0*b - 4*b).\nAnswer: -37*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/15)\/((-134)\/603).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 538 a factor of 105182228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 14 - 4*g - 10*g + 2*g + 7*g + g. Give t(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (147 - 135) + (-5 - 12 - -4) + (59 - 3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1005754027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of 4*b**3\/21 - 2*b**2\/7 - 8*b\/7 - 72. Factor z(x).\nAnswer: 4*(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 794 - 934 = 35*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -6*p**2 + 3805*p + 88. Let s(j) = -j**2 + 761*j + 16. What is -2*g(x) + 11*s(x)?\nAnswer: x**2 + 761*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (20 + (-915)\/45)*-11\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 14*f**3 + 3*f**2 + 3*f. Let t = -1221 - -1227. Let m(z) = -168*z**3 - 35*z**2 - 35*z. What is t*m(u) + 70*h(u)?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4347124498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 + 30. Suppose v = -5*g - 18 - 2. Let w = g + 15. Calculate the greatest common divisor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*i + 6*i**3 - 39*i - 43*i.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1048, -4032, -9008, -15976, -24936, -35888?\nAnswer: -48832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 14. Suppose l = -t + 6*t - 20. Let h = 8 - t. Let a(f) = -f + 5. Give a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 33*l + 289. Calculate b(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + -4 - 208 - 7. Is p at most -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6 - -37)*(-2)\/(-24)*3. Which is bigger: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3 + 596*c**2 + 5 - 15 + 7 to the form g*c**2 + s + l*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 64134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -3.8. Let w = -3.2 + i. Let u = -2.9 - w. Which is bigger: 2\/7 or u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 2*t = -29, -4*t - 3 = -29*f + 30*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 0.5, -0.4, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t - 6. Let s(v) = 5*v + 31. Let g(h) = 22*b(h) + 4*s(h). What is the units digit of g(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**4 + 2*v**3 + 2*v**2 - v. Let i(n) = -n**4 + n**3 + n**2. Let x = 2 + -1. Let c(r) = x*w(r) - 2*i(r). What is the second derivative of c(o) wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(11))*2 - (3 + (sqrt(11) - -2*sqrt(11))))**2.\nAnswer: 6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, -26\/9, 0.3, -0.2, -2\/27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -66 - -65.5. What is the second biggest value in k, -2\/9, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by (-340)\/(-30) - 1\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 8*n**2 - 5*n + 4. Let h be t(2). What is the highest common factor of h and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w**2. Suppose 6*m - 232 - 56 = 0. Let o = m - 46. Let a(u) = 6*u**2 - 13*u**2 + 6*u**2 + 2*u**o. Determine -15*a(r) - 3*h(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: cbbd2 (base 15) to base 7\nAnswer: 5334110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 308*a - 915. Let i be z(3). Solve 72*x = i*x + 315 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (56\/196)\/(17\/((-459)\/90))\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -7801 divided by 29\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(13\/3))**(-2\/35)*(j*((j*j*j\/(j\/(j\/(j*j**(19\/5)*j*j))))\/j*j)\/j)**(2\/9) assuming j is positive.\nAnswer: j**(-344\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2, 1\/2, -6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mrzzmyzyr. What is prob of sequence rm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 237518 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**3 - 26*p**2 + 4*p - 15. Let z be x(13). Suppose -c + 194 - z = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r + 1. Let o be x(-6). Let q(f) be the second derivative of -11*f**3\/2 + 11*f**2\/2 - 5*f - 116. What is the hundreds digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 73673907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.128, 0.5 in ascending order.\nAnswer: -1, 0.128, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13383 is divided by 4038.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7\/3 - 31\/12. Let u = 158 - 301. Let h = 143.5 + u. Which is the nearest to z?  (a) h  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3472\/3 - 4603\/4. Calculate the common denominator of 13\/(-54)*45\/105 and f.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**5 + 3951657*j**4 - 11854989*j**3 + 11854995*j**2 - 3951666*j.\nAnswer: 3*j*(j - 1)**3*(j + 1317222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -3*q**2 + 98*q - 178. What is g(0)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.37, 0.05, -4, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2642674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 + 14*w - 10. Let g be z(13). What is the tens digit of ((-4)\/g)\/(13\/(-156))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20521624 (base 8) to base 12\nAnswer: -1567418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -58045?\nAnswer: 58049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {w: 3, r: 11, h: 4}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 9 + 1)*(-t**2 + 3*t - 3*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10, 0.7, -1, 4, -711, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2114*r. Let p(c) = c + 56974. Give s(p(o)).\nAnswer: -2114*o - 120443036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22445338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 10*q**2 - 7*q - 11. Let g(c) = -2*c + 4. Let j be g(-7). Let b be 36\/10*15\/6. Let a = j - b. Give y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*k + 3*k + 34, 3*s = -2*k + 96. Suppose 0 = -3*a, -5*v - 31*a = -34*a - 105. What is the greatest common factor of k and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1346790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus 5630591221.511?\nAnswer: 5630591221.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**6\/y*y**(1\/5)*(y\/y**(-1\/2))\/y**(-2\/7) assuming y is positive.\nAnswer: y**(489\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 48.95 - 49.05. Which is the third biggest value?  (a) -10  (b) z  (c) 5\/3  (d) -1\/7  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 + 9582*m - 28728.\nAnswer: -2*(m - 4788)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 y, 1 a, and 1 j when four letters picked without replacement from {j: 2, s: 2, a: 2, y: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -85*i**2 + 28400*i - 167340 = 0.\nAnswer: 6, 5578\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -16. Let h(j) = j**2 + 10*j + 8. List the prime factors of h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9519 and 7125?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 0, -5, 2 in decreasing order.\nAnswer: 2, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 139666524 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 9532.\nAnswer: -47660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 8*f + 66. What is the remainder when 287 is divided by u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 70, 5, 3 in increasing order.\nAnswer: 0.2, 3, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -43, -90, -147, -208, -267?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 - 11180*m**2 - 980018*m - 4620840.\nAnswer: -2*(m + 5)*(m + 84)*(m + 5501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 64\/6*-7*12\/(-16). Let h = -38 + p. Find the second derivative of 5*c**5 - 5*c**5 - h*c**5 - 14*c wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*b - 40 = 4*b. Let m(r) = 36*r. Let j(a) = 12*a. Let k(q) = 8*j(q) - 3*m(q). Is 12 a factor of k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.064?  (a) 0.328  (b) 0.03  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 6*k**2 + 35*k - 921. Let g be o(-25). Is 9769\/5 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) - -2*(sqrt(190) - sqrt(190)*2) - (((sqrt(190) - sqrt(190)*2) + sqrt(190))*6 + sqrt(190)))\/(sqrt(360) - sqrt(360)*2*-3).\nAnswer: -sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 10*t**2 + 5*t - 9. Let b be w(-10). Let n = b + 89. Suppose 3*u + 6*f - 27 = 3*f, 4*u - n = 2*f. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.06048 + -0.93952. What is the closest to 3 in 1\/2, 3, c, -0.25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 757.3 - 752.723. Let x = p - -0.023. Let o = x - 5. Which is the second smallest value?  (a) 4  (b) o  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36245727.\nAnswer: 3, 7, 31, 67, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 19420, -1, -4, -0.5, 0.06 in ascending order.\nAnswer: -4, -1, -0.5, 0.06, 19420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2. Let g(j) = 7*j**2 - 6*j**2 - 3*j**2. Give o(g(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 964031 is divided by 69.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 316068?\nAnswer: 2, 3, 26339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -33*u**2. Let h(r) = -5*r**2. Let b(j) = -3*j**2. Let q(f) = -f**3 + 16*f**2 - 31*f + 35. Let a be q(14). Let x(d) = a*b(d) + 4*h(d). Give n(x(p)).\nAnswer: -33*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 525*c - 15 + 154*c - 76. Is j(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 72720 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 300 - 300.11. Which is bigger: n or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - h + h - h**3 - 9*h**3 + 14*h**3 - 12*h**3 + (3*h + h - 3*h)*(-4 + 2*h**2 + 4) - 2*h**3 + 2*h - 2*h as k*h + r*h**3 + p + o*h**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 50*a**2\/11 + 20*a + 22.\nAnswer: 2*(5*a + 11)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 228 + 36 - 5*o + 129.\nAnswer: -5*o + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -13*q - 50. Let u be v(-4). Factor 1\/3*k**3 - 2\/3*k**u + 1\/3*k + 0.\nAnswer: k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 0*k + 4 = 0. Solve 0 = k*h - 4*d, 3*d = 2*h + 3*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20.21184 + 6.11093. Let v = -14.1 - a. What is v rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3 + (sqrt(1377) - (sqrt(1377)*-2 + sqrt(1377))) + ((sqrt(1377) + 1)*2 + sqrt(1377))**2).\nAnswer: -12400 - 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -5*z + 20, -57017*p + 24 = 5*z - 57018*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 2*r. Let c be (-5 - -4)*(4 + -6). Let j be v(c). Suppose 2*o - 6*o + 36 = j. What is the closest to 1 in -2\/3, 4, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7461 - 2269. List the prime factors of k.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 3 r when four letters picked without replacement from rrxxrrvvrv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l + 0*l + 3*l + (4*l + 3*l - 20*l)*(-15 + 7 - 3))*(l + 2*l - l) to the form w*l + t*l**2 + k and give t.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 88*n**2 - 95*n**2 + 39*n**3 - 3 + 3 wrt n.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 183 and 2?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + 8*c**2 + 9*c + 6. Let s be w(9). Let a = -22 - -31. Let j(p) = -a*p + 2 + 2*p + 0*p. Let f(z) = 6*z - 2. Determine s*f(b) + 5*j(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1877.66 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 100 - 99. Let z = -10.7 + 10.3. Which is the nearest to d?  (a) z  (b) -3\/5  (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 864 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 6*l**2 + 7*l. Let c be q(-6). Let k be 2\/6 - 322\/c. Differentiate -15 - u + k*u**4 + u + 9 with respect to u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 - 2*a**3 + 3*a**3)*(1 - a**2 - 1) + 13*a - 581*a**4 - 6*a**5 + 581*a**4.\nAnswer: -7*a**5 + 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -20*i**2 - 9*i - 9. Calculate c(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 5*z - 7. Let i be r(3). Solve 5*j - i = -2*u, -5*j - 4*u + 16 = -0*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 11:32 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 5*l + 59 = 0, 3*q - 299 + 382 = -2*l for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19114104?\nAnswer: 2, 3, 23, 31, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -4011*u**4\/5 - 6513852*u**3\/5 - 12992196*u**2\/5 + 38928*u\/5 = 0.\nAnswer: -1622, -2, 0, 4\/1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 12:32 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -4  (b) -0.5  (c) 2  (d) 5  (e) -1  (f) -19.54  (g) 0.048\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-3))\/(10\/(-15))*9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 13 = 2*o + 4, -4*f + 5*o = 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*m = 3*n + 45*m + 39, 4*m = 5*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3311 and 132913.\nAnswer: 930391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1017259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-3\/13)\/(o**(1\/8)*o) assuming o is positive.\nAnswer: o**(-141\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3633 + 1185. List the prime factors of (-24)\/(-32) + (g\/8 - 3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 9*j - j - d, -d = -2*j + 2*d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1117\/2 + 4567\/8. Find the common denominator of 49\/72 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 174425 + 243199. Let a(y) = 1306*y**3 + 7*y**2 + 5*y - 2. Let c be a(6). Let m = t + c. Round m to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42827 - 40345.1. Round u to the nearest ten.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 59 - 58. Let v be (-2)\/6 + ((-95)\/(-15) - q). Solve 4 = 2*b - b - v*m, -4*m = -b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18229 - 18229. Let x(t) be the third derivative of 0 + 1\/3*t**3 + 0*t**4 + b*t + 38*t**2 - 1\/10*t**6 + 0*t**5. Differentiate x(o) with respect to o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 62, -1, 3.\nAnswer: -4, -1, 2, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3518178 is divided by 1181?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-1 + (2 - 3)). Let p(d) = 2 - 2 + d + n. Let j(u) = 3*u. Let k(o) = 2*o. Let v(w) = -3*j(w) + 4*k(w). Determine v(p(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*z**3 - 3292*z**2 - 73504*z + 76800 = 0. What is z?\nAnswer: -800, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 6 - 3)*(-3*f + 2*f**3 + 3*f) + 0 + 3*f**3 + 0)*(-3*f + f - 3*f).\nAnswer: -35*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5\/8 + 1161*o**4\/8 - 75343*o**3\/2 - 229815*o**2\/2 + 152434*o = 0.\nAnswer: -4, 0, 1, 398, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**2 - 485118*w + 485118*w + 16.\nAnswer: 2*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2bc (base 16) to base 15\nAnswer: -31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 10:59 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of r**3\/6 + r**2\/2 + 629*r + 2. Let v(l) = -2*l**2 - 6*l - 15. What is v(k) + 6*x(k)?\nAnswer: -2*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38.78 - -38.7799994778. Round i to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 112003 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8.7*-1417.396.\nAnswer: 12331.3452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/87916620 and 197\/87916620?\nAnswer: 87916620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/10)\/(379\/3790).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 240, 800, 1736, 3048, 4736, 6800?\n\"Answer: 188*d**2 - 4*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 4:33 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b - 5. Let d be y(7). Suppose -d*t + 3*t - 3 = 0. Solve 25 = -2*w - t*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588.0645 litres in millilitres?\nAnswer: 588064.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -178 - -92. Let d = r - -139. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1876301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 547*c**3 + 391*c**3 - 330*c**3.\nAnswer: 608*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 122942138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 51441768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 49*s**3 + 11*s**2 - 68*s + 58. What is the hundreds digit of l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 430695009?\nAnswer: 3, 43, 107, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from {s: 1, w: 3, y: 13}?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, -1, 0.714, 1, 0.3 in ascending order.\nAnswer: -1, -2\/17, 0.3, 0.714, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 13*q**2 + 260*q + 1. Let w be t(-20). Which is the closest to w?  (a) 0.3  (b) -0.2  (c) 5  (d) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + 0 + (1 - 2 - (-13 + (2 - -22))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mbcbbbc. Give prob of sequence mcc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gpvv when four letters picked without replacement from {g: 1, p: 1, f: 1, w: 2, v: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*3\/(-5)*-1. Suppose 4 - 9 = -j - 5*x, -i*j + 2*x = 2. Sort -2, j, -5.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 77908*p - 5759717. Give s(-74).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -219, -218, -217, -216, -215?\n\"Answer: f - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*t**4 - 220*t + 7522.\nAnswer: -20*t**3 - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08127 times -1?\nAnswer: -0.08127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -37811 - -0.01\nAnswer: -37810.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7741*a**3 - 1900*a**3 - 1948*a**3 - 1940*a**3 - 1950*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/sqrt(5)*5 + 4)**2.\nAnswer: 80*sqrt(11) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4331 + -1121231?\nAnswer: -1112500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(216\/48 + 11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20 + 56*z**2 - 20*z**2 - 17*z**2 + z - 17*z**2 to the form h + y*z**2 + c*z and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/126 and ((15\/243)\/(-1))\/((-144)\/(-828))?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 62 - 54.7. Let u = s - 8. Let d = 0.3 - u. What is the second biggest value in -0.3, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((208\/(-24)*4\/26)\/24)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/7))**42*(v**(-8))**(-2\/89) assuming v is positive.\nAnswer: v**(-518\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-2\/99))\/r*r*r\/(r*r**(-1\/23)\/r*r) assuming r is positive.\nAnswer: r**(2330\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, j: 1, o: 2, a: 2, x: 1}. Give prob of sequence caj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 275*v + 2234. List the prime factors of b(33).\nAnswer: 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (107*b + 3254 - 3254)*(14 + 98 + 2).\nAnswer: 12198*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20378 + 436?\nAnswer: -19942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 12 = i. Let t(y) = -2*y**2 - i*y + 4*y. Let m(z) = -6*z. Give m(t(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s**3 + s**2 - 3*s**3 + 2*s**3)*(43 - 31 + 19) as b*s + x + h*s**2 + a*s**3 and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 2*p**2 - 4*p + 9. Let f be i(4). Solve 0 = -6*s + f + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 84075, 84077, 84081, 84087, 84095, 84105?\n\"Answer: o**2 - o + 84075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65 - (4 + -50)) + 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 39 and -1.7?\nAnswer: -66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.5, 4\/15, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 30\/20 - 10\/(-4). Let n be (2\/(-4))\/((-2)\/(-8)). Let c = n - -3. Solve f + c = p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*o**4 + 5*o**4 + 3*o**4)*(-1 + 2 - 2).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1319 divide 385075935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 14. Let t(j) = j - 6. Let i be t(6). Solve p + n = i, 3*p + 1 = -4*n - r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 823722 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 404 + -390. Solve g + 3*s - j = 0, g + 19 + 2 = 4*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2847\/3272 + -2\/409. Find the common denominator of 15\/5*6\/16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 440, 947, 1522, 2165?\n\"Answer: 34*n**2 + 405*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 43938.8 * 17\nAnswer: 746959.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + 8*y**2 + 6. What is z(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-109)\/(-5))\/(486\/(-135)) and -137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 348434453.\nAnswer: 47, 7413499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 - 4 + 4)*(-10 + 5 - 3 - 11 - 3).\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24 + -14?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 71 - 82. Let g = i - -85\/8. Calculate the common denominator of g and -33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2\/5 + 138116*h\/5 + 828552\/5.\nAnswer: 4*(h + 6)*(h + 34523)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2953 and -1.\nAnswer: -2953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*x = -94 - 158 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(-p**2 + 9*p**2 - 3*p**2)*(0*p - 4*p - p).\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4967670346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 91648260 and 7128.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -465 - 839. Let w be 4\/22 + n\/(-44). Calculate the remainder when 4 is divided by 3*-5*(-2)\/w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.706 and 3?\nAnswer: 23.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 5*s = 232, 4*s - s = -2*p + 161. Suppose -81 = -4*g + p. Suppose -g + 396 = 4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 566, 544, 506, 452?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k + 4. Let q be f(8). Let y be (6\/q)\/(3\/(-26)). Solve 3*u + y = h - 0*h, 1 = h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z + 2. Let q be m(-5). Differentiate -q*u + u**2 - 1 + 7*u with respect to u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 - -18.998. Let q = -0.05 - h. What is q rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/85 and -42\/1105.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from -1230091575339755.\nAnswer: -1230091575339754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 + -505 + (-47 - 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 232 and 840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -115\/4 in 3, 26, 4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 12:18 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/(-18))\/((-2)\/108). Suppose f - 66 = i. Suppose 11 = -t + f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 631013 (base 9) to base 16\nAnswer: 5b7be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 4*h**2 - 4*h - 3. Let b be u(-2). Put -5, b, 1 in increasing order.\nAnswer: -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -88, -2157, -6198, -12211?\nAnswer: -20196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42781568 to the nearest integer?\nAnswer: 6541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 8*r**2 - 10*r + 6. Let s be q(9). Which is the third smallest value?  (a) 0  (b) s  (c) 1  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1512 and 4?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 2*l**2 + 1. Let y be p(-1). What are the prime factors of y\/(-4) + 99\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -9*r - 2060. Let t(k) = -27*k**2 + 3*k. Calculate w(t(c)).\nAnswer: 243*c**2 - 27*c - 2060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + r = -118, -r + 124 = 2*s - 118. Suppose 0 = -2*d + 10, g - 4*d + d - 9 = 0. Calculate the greatest common divisor of s and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 806 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/86 and 71\/172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002465 to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pppwwppwwpepp. Give prob of picking 1 p and 1 e.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 1:35 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 4*g**3 - 6*g**2 + 2*g + 29. Let c(o) = -o**3 - o - 6. Let n(q) = -3*c(q) - s(q). Determine n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - 14. Let d = -9 - i. Calculate the remainder when 25 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21.88*-74.\nAnswer: -1619.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -556296, -1112580, -1668864, -2225148?\nAnswer: -2781432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 105\/75)*(-60)\/(-594)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 4, c: 1, v: 1, d: 6, w: 3, z: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*t**3 - 9 - 12*t**3 + 13*t**3 + 12*t**3 wrt t?\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1139 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 second biggest value in -0.3, 0.2, -35, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - ((17 + -24 - -16) + 4 + 0 + -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -1, -2\/13, -0.5, -1\/4, 0.07, 1114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155489856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 34021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 220, 281, 382, 523, 704, 925, 1186?\n\"Answer: 20*z**2 + z + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - 7 - 0 - 2. Let h(y) = -5*y**2 - 5 - 7*y**2 + 11*y**2 - 5*y - 2*y. Give h(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(7) - ((-4 + sqrt(7))*-3)**2).\nAnswer: -219*sqrt(7) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 37641800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -13*z - 8*z**2 + 2*z**2 + z**3 - z**2 - 2*z**2 - 97 + 88. What is g(10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -77687 + -0.7674594\nAnswer: -77687.7674594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g**2 + g**2 + 0*g**2)*(-4*g + 0 + 0) + (0*g - 4*g - 3*g)*(1 + 1 + 0)*(-13 + 13 - 6*g**2) to s*g + m*g**3 + t*g**2 + c and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i - 16. Let r(d) = d**2 - 7*d - 7. Let n be r(9). Is a(n) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13159 is divided by 106.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 825 - 579. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15336733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 728 = 2*n, 2*q + n = 495 + 221. Calculate the greatest common divisor of q and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**5\/5 - 4*f**4\/5 - 3*f**3\/5 + 2*f**2 + 8*f\/5.\nAnswer: f*(f - 4)*(f - 2)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*u - 67*u + 652 + 580 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 13*p**2 - 36*p. Let g be r(4). Suppose g = 45*n - 53*n + 32. Solve 2 + 2 = -n*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 4*i + i)*(-2 + 0 + 0)*(-i - 5*i + 5*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/3*2\/10*(-460)\/(-92)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 647905, 1295845, 1943789, 2591737, 3239689?\n\"Answer: 2*u**2 + 647934*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t**5\/3 + 128*t**4\/3 - 103*t**3 - 608*t**2\/3 + 1036*t\/3 - 80 = 0 for t.\nAnswer: -2, 2\/7, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 422 is divided by 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-25)\/((-375)\/6))\/((56\/(-60))\/(-1)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -l**3\/2 - 2*l**2 - l. Let n be (-2)\/8 + 34\/8. Let y(c) = -c - 1. Calculate n*y(b) - a(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((3 - 10) + -3 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 374 - 175. What are the prime factors of k?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**4\/5 - 14*g**3\/5 + 3*g**2 + 100*g - 100 = 0. What is g?\nAnswer: -10, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 - 27 = -2*n + 5*b, 0 = 2*b + 14. Let t be -2 + 3*5 + 0. Calculate the greatest common divisor of n and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 10*1\/(-6)) + -1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a - 39 = -127 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*s - 25*s - 101*s - 94*s.\nAnswer: -316*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5642778 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tnag when four letters picked without replacement from {t: 1, n: 5, g: 2, a: 1}.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*q**5 + 89*q**4 - 6192*q**3 + 2377*q**2 - 304*q - 3 wrt q.\nAnswer: 300*q**2 + 2136*q - 37152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 722 - 720. Let m(s) = -1. Let f(u) = -2*u + 8. Determine l*f(i) + 14*m(i).\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.08 - 0.08. Put v, 2\/19, 2\/9 in decreasing order.\nAnswer: v, 2\/9, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 11*a**2 + 12*a + 20. Let k be b(12). Let p be 8\/(-5) - k\/50. Let l = p + 2. Let j(s) = s**2 + 8. Calculate j(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**6*d\/d**29)\/(d**(-4\/15)\/d)**(-31) assuming d is positive.\nAnswer: d**(-904\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000144 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -1. Let h(m) = -m. Let z(j) = -h(j) - 2*w(j). Suppose 8*y - 118 = -62. Let c be 9\/63*y*(-2 + 0). What is z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1092 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*-1 + 4)**2 + -1*(sqrt(153)*-1)**2 + -5 + -2*sqrt(153) + 5.\nAnswer: -30*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1181 is divided by 388?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i + 2. Let z(n) = -60*n - 2. Let c(t) = -t**2 - 20*t - 1. Let r be c(-20). What is the remainder when z(r) is divided by v(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaz when three letters picked without replacement from {a: 6, z: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4306?\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.5 - -3.2. Let x = -2 - r. Let o = x - -0.1. Put o, -1\/7, -2\/5 in increasing order.\nAnswer: -2\/5, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1210202221 + -12?\nAnswer: 1210202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 130 - 130. Suppose -2*x + 18 = -0*v + 2*v, -5*v + 2*x = -80. Solve 5*c = 3*j - v, -3*c - 3 + m = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 10 = -0*j. Let t(o) = 4*o**2 - 2*o**2 + 2*o**j. Let x(w) = 3*w**2 - 1. Let z(p) = -2*p**2 + 1. Let d(u) = -2*x(u) - 2*z(u). Give d(t(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11001100 (base 2) in base 13?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1621, 6614, 14935, 26584, 41561, 59866, 81499?\nAnswer: 106460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2946259*w**3 - 84*w**2 - 300020350*w wrt w.\nAnswer: 17677554*w - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000139054 rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -117  (b) 0.1386  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 11:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -6*s**2 + 59*s - 265. Give f(5).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {h: 3, i: 3, n: 2, p: 7}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (3 + -4) - -9) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 (base 7) in base 13?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c + 2*c - c**3 + (-2*c + 2*c - 2*c)*(-2*c**2 + 0*c**2 + 0*c**2) + 6 - 6 + 16*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 5*g**2 + 9*g - 20. Is 34 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -392 by -4.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/3 and 34\/57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-1 - 0) + -2 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -383483 and -20288?\nAnswer: 363195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**12*i*i)**48 assuming i is positive.\nAnswer: i**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {r: 4, v: 3, x: 6, f: 4, g: 1, s: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 5:34 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 2\/9  (c) 5\/2  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 745130.\nAnswer: 2, 5, 269, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6101.\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 8*x**2 - 8*x - 11. Give o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 - -130460451?\nAnswer: 130460442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8c1c (base 16) in base 3?\nAnswer: 1211012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1)\/1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9621, 13959, 18309, 22677, 27069, 31491?\nAnswer: 35949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of -s**6\/135 - 2*s**5\/15 - 29*s**4\/54 - 2*s**3\/3 - 399*s. Factor o(a).\nAnswer: -2*a*(a + 1)*(a + 2)*(a + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5461240*s**2 - 806*s + 2679 wrt s.\nAnswer: 10922480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 11:53 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 55 - 20 = 3*c, 0 = 2*c + 5*p - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucccucccuuccccuccccc. Give prob of picking 2 c.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-210)\/(-14))\/270)\/(1\/8).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 67.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45 + -136\/3. What is the smallest value in -4, 3, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -u + 2*y + 8, -4*y + 16 = 0. Let a = 6 + u. Which is bigger: -7\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 1:59 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18\/5 in -1\/2, 0.1, -1\/4, -2\/81, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4179*q**2 - 2092*q**2 - 2096*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.4*-2252.\nAnswer: -7656.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 8*b - 15 = 0. Suppose -b + 7 = -2*v. Solve -v - 4 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.1 - -6. Let j = 0.5 - 0. Sort j, 5, o in increasing order.\nAnswer: o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 14*d. Suppose 2*j = 2*t - 2, 2*t - 3*j + 9 = t. Let n be (t\/10 - 4)\/(2\/(-10)). Let b(y) = -51*y + n*y + 17*y + 15*y. Determine w(b(z)).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -0.6, 1, -1 in descending order.\nAnswer: 1, -0.6, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3901*g**2 - 9*g - 10. Suppose -51 + 11 = -4*d. Let q be k(d). What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - 232331310?\nAnswer: -232331300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 2*t + 3*z - 13 = 0, z = 3*t + 185350 - 185319 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 2*y, 0 = 3*p + 3*y - 18 - 12. Let f = -10 + 12. Sort p, -0.2, f.\nAnswer: -0.2, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, a: 1, q: 2}. Give prob of sequence za.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**2 + 5*t - 4. Let r = -2 + -2. Let u be a(r). Factor u*g**3 + 4*g**2 - 7*g - 2 + 62*g**4 + 8*g**2 + 50*g**3 + 21*g**5.\nAnswer: (g + 1)**3*(3*g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**3\/2 - 1701*i**2\/2 + i\/2 + 1701\/2 = 0.\nAnswer: -1701, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 25*c**2 - 11*c + 11. Let v be g(-20). Suppose -4*o - 20 = 0, -2*q + o - v = -1604. Let j = -1795 - q. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 110 divide 51338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by -709240.\nAnswer: 3\/101320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/439938 and 11\/439938?\nAnswer: 439938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -20*t - 5. Let h(u) = u**3 - 2*u**2 - 2*u - 5. Let a be h(3). Calculate the remainder when j(a) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 187359 and 5384106?\nAnswer: 102298014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2 + 228*g - 695. Give r(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130329359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 = 2*y - 116 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o + 1147298985 - 1147298985.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 54839924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-3) - (2472\/(-9))\/(-4). Let b = q - -124. Calculate the lowest common multiple of 24 and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-4)*20\/(-2). Let u = i - 43. Let c = u - -42. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m - 3*m + 285*m**2 + 3 - 275*m**2. Let l(b) = -9*b**2 - 4*b - 4. What is 4*a(o) + 3*l(o)?\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*(m*m**(-7))\/m*m)\/m)\/(m\/m**(-6\/7)) assuming m is positive.\nAnswer: m**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5053 - -4982. What is the closest to 0 in q, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 19*o**2 - 30*o**2 - 1.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -88617692950.597 and -0.3.\nAnswer: -88617692950.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t**2 - 8*t**2 + t**2)*(4 - 2 + 0)*(-2 + 2 + 1) as n*t**2 + s + g*t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 2:02 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 144 = 48*q. Suppose -3*u = -3*l - q, 8*l + 15 = 13*l - u. Solve -c - 4*j + 10 = 2, 0 = c + 2*j - l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-56)\/(-112) + 1\/(-2)*13. Let j be ((12\/14)\/6)\/(l\/7). Sort 0.5, 5, j.\nAnswer: j, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38655, -37971, -36833, -35241, -33195?\nAnswer: -30695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3022.091 hours in minutes?\nAnswer: 181325.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5976.3 - 0.4\nAnswer: -5976.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*v + 1076 = -22*v + 115*v + 9740 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.8, -0.4, -3, 0.025 in decreasing order.\nAnswer: 0.8, 0.025, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**4 + 2*o - 2*o)*(2 + 2 - 5)*(1 - 3 - 48*o + 62*o).\nAnswer: 56*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 75*f - 74. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 71*y**3 - 2*y**2 + 2*y - 1. Suppose -d - 3 + 4 = 0. Let o be b(d). Suppose o = -v + 3*v. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 566720 divided by 253?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -j**3*q**3 - 11*j**3*q**2 - 10*j**3*q + 27*j**2*q**3 + 17*j**2 + 17*q**3 wrt q.\nAnswer: -6*j**3 + 162*j**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17297353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ryr when three letters picked without replacement from rrrryrrrryr?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -5*d - 5. Let v be f(-4). Suppose 3*i = -0*i + v. Suppose 0*x + 4*x - 20 = 0, 2*x = i*g - 25. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**3 + 8933*h**2 + 394793*h + 1750515 = 0. Calculate h.\nAnswer: -39, -5, 8977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 6*x + 29. Let h be g(9). Let i(d) = d**h + 20*d**2 - 19*d**2. Let p(n) = 30*n**2. Calculate i(p(m)).\nAnswer: 1800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v - 6 = 0. Let i(p) = -p**2 - 2*p - 2. Let t be i(0). Is v at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.05 at least 1907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**2 + 6*q + 4. Suppose 2*y = -5*r - 0*y - 10, -3*y = -r - 19. Let f be z(r). Solve u + 3*x + 3 = 7*x, 0 = 4*u - 3*x + f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -256 and 0.3?\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 0)\/((-7)\/14). Let i(h) be the second derivative of -7\/15*h**5 - 1\/9*h**3 + 13\/36*h**q + 2\/9*h**6 + 0 + 0*h**2 + 2*h. Find n, given that i(n) = 0.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + -1 + 1*sqrt(17) + (-1 + -2*sqrt(17) - sqrt(17)).\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -29*x + 203. Let w be a(7). Solve 4*l - 25 + 45 = w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6 * -32.\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21) + sqrt(63)\/sqrt(3)*-6)\/(sqrt(144)\/sqrt(3) + sqrt(48)) + -4 + -5.\nAnswer: -9 - 5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 + -73?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 37 and -14240.\nAnswer: -526880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9450.99736 - 9451. Round l to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 43, 63, 85, 109, 135?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/(-11))\/((10\/(-4))\/(-1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3*a - 87 = 0, 5*p - 86 = -3*a + 91. What is the greatest common divisor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1768 by 17.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*o**2 + 0*o - 3*o**4 + o**3 - 10*o**2 - 3*o**3 - 2*o to the form y*o**4 + n + k*o**3 + g*o**2 + q*o and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -2*o + 28. Suppose -14*d - 139 = 57. Calculate the lowest common multiple of (-176)\/d + 16\/o and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 2*b**2 + 2*b - 2. Let l(r) = 3*r**2 - 2*r + 1. Let j be l(1). Let i be t(j). Suppose -8 = -2*k + i. Let d(z) = -z + 3. Determine d(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -1098*q + 1045. Let t be p(1). Suppose 11 = 5*z - 14. What is the nearest to t in 3\/7, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 5*q**2 - 7*q + 67. Let d(v) = -v**3 - 14*v**2 + 14*v - 8. Let b be d(-15). Is l(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**2 - 5973*r + 53889. Give m(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 8:48 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -796 = -j + 4*w + 2300, -3*w + 6137 = 2*j. List the prime factors of j.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l - 4*v + 21, -l - v + 1 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 117 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3*s = 42, d + 5 = 5*s + 24. Let w be -5 + d + (-3)\/(-12)*0. Solve -2*m + 5 - 1 = 0, -w*m - 8 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2250 - 2232. Let n(s) = 24*s - 18. Let c(d) = 1. Calculate p*c(v) + n(v).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3 + sqrt(180))*-6 - -3*(sqrt(180) + 3 - sqrt(180)))*3)**2.\nAnswer: -17496*sqrt(5) + 64881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(275) + 2)**2 - (sqrt(275)*1 + sqrt(275) + 1) - ((1*sqrt(275)*2 - sqrt(275)) + 0 + (sqrt(275) - sqrt(275)*-1) + 0)**2) + 4.\nAnswer: -2172 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 185*a**2 - 6*a + 5. What is j(1)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d**2 + 3*d - 16. Let i = 31 + -30. Let u be -2 - 5 - (-2 + i). What is the units digit of l(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w + 15. Let b be d(8). Let g(r) = r**2 - 7*r. Let v be g(b). Let l be v - -2 - (-105)\/(-49). What is the closest to 1\/3 in 1\/2, l, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -28*y - 502. Let a be l(-19). What is the greatest common divisor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/1233 at least 22916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 85953929*h**3*z**2 - 9438*z**2 + 4190*z wrt h?\nAnswer: 257861787*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -3 - -3) + (-5 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - l + 29 = 5*v, 3*l - 24 = -3*v. Solve 2*n = 3*q + 5, -3*n + l = 2*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -6*p**3 - 8*p**2 - 7*p**3 + 11*p**3 + 1. Let g(r) = r**3 + r**2 + r + 1. Let s(u) = -3*g(u) - o(u). Calculate s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1013 is divided by (143\/(-39) - -3)\/((-4)\/762)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -49 + 43.3. Let m = y - -6. Which is greater: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3*o + 51 - 41 = 0, -2*o + 30 = -4*w. Let t(x) = -3*x - 1 - 1 + 3*x**3 + 3*x**2 - 2*x**3. Let s be t(-4). Is w at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((4*sqrt(84) - sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84) - sqrt(84)) - sqrt(84))\/(sqrt(12) + (sqrt(588) - -5*sqrt(588)) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -12237502338424?\nAnswer: 12237502338425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -7*q**2. Let b = 83 + -4. Let f(g) = -b*g - 5*g**2 + 79*g. What is f(h(v))?\nAnswer: -245*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5499 - 15577 = -5*t, 0 = -t + 5*j + 2011. Is t a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-21)\/12)\/(2\/(-8)). Let w be -4 - (-4 + (-4 - -5) + -28). Let m(c) = 32*c - 60*c + 7 + w*c. Determine m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197 = -g - 13. Which is bigger: g or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001102122211 - -20?\nAnswer: -1001102122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 12*b + 27. Let g be s(14). Let v(t) = t. Calculate v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -1085*w**4\/12 - 202*w**2 + 1385*w. Find the first derivative of t(i) wrt i.\nAnswer: -2170*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -262.7, -8.62, 3.\nAnswer: -262.7, -8.62, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2020323232 - 3?\nAnswer: -2020323301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/3 + 10225*v - 61346\/3.\nAnswer: -(v - 30673)*(v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*c = -33 - 143. What is the nearest to 0.3 in c, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1898*z + 1900*z + 30 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-one halves of a decade?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 371 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - 1 - (-71 - -36 - -45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -498, -467, -434, -399, -362, -323?\n\"Answer: h**2 + 28*h - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -11  (b) 1\/3  (c) -0.15823  (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*i + 4*w + 8, 273*i - 274*i + 4*w = -11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2122021111012111 + 2?\nAnswer: -2122021111012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 26728961 and 147.\nAnswer: 80186883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 410041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -8 - 140*m - 8 + 24 - 5 - 5. Let l(r) = -2*r. Give l(k(f)).\nAnswer: 280*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (13\/(585\/(-46320)))\/((-4)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77827 by 2.\nAnswer: 77827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.411619 rounded to 3 decimal places?\nAnswer: -0.412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -27640+-5.151\nAnswer: -27645.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 152*h**2. Let t = -721 - -723. Let b(s) = 595*s**2 - 296*s**2 - 301*s**t. Determine b(c(u)).\nAnswer: -46208*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**2\/7 + 209*k\/7 + 618\/7 = 0.\nAnswer: -206, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 86 - 102 = -5*c, 2*c = 3*j + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -2*m - 1\/2*m**2 - 1\/3*m**4 - 5\/6*m**3 + 4. Let z(g) = g. What is -i(x) - 5*z(x)?\nAnswer: 4*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 535, 2078, 4623, 8164, 12695, 18210, 24703, 32168?\nAnswer: 40599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 12:46 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -12. What is the units digit of (-1 + 4)\/(3\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.57 - -2.57. Let l be 2060\/(-8) + 6\/(-4). Let y = l + 1817\/7. Sort y, q, 2\/9 in decreasing order.\nAnswer: y, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85527, -85533, -85541, -85551, -85563, -85577?\nAnswer: -85593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 4*n = -4, -o + 3*o + 10 = -5*n. Let s = 35 - 33. Solve -o*w - u = -19, -s*w + w - 2*u = -2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 0  (b) 0.5  (c) -0.11  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 7. Suppose 9*c = 15 + 3. Put 3, 4, w, c in descending order.\nAnswer: w, 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 + 111823454*w - 3126121216122529.\nAnswer: -(w - 55911727)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -558 and -1.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5dd (base 15) to base 12\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04874 - 53.059?\nAnswer: -53.01026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -0.05398?\nAnswer: -0.2699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 95139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 131865517 and 4026428?\nAnswer: 527462068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 733800 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 + 2*r - 4*r + 5*r**3 + 15 in the form b + y*r**3 + d*r + j*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of 0*p - 2\/3*p**3 + 2 + 3\/2*p**2. Find the second derivative of m(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -7*n**3 + 16*n**2 + 61*n - 144. Give c(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 5*c + 60 = 0, -46931*c = -5*l - 46930*c - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 4) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 727 + -709. Which is the closest to -0.1?  (a) i  (b) 0  (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*h + 52*h**3 - 33*h + 12*h + 8*h + 58*h**3 - 3 wrt h?\nAnswer: 660*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1618309 and 294238.\nAnswer: 3236618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 13*s**3 + 2*s**2 + s - 5. Let i be u(-2). Let j = 114 + i. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 7*y**2. Let d(g) be the third derivative of -g**5\/30 - g**3\/2 + 1644*g**2. Calculate t(d(x)).\nAnswer: 28*x**4 + 84*x**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 2*g**2 + 5*g + 4. Suppose 36*m = -16*m + 95 + 61. Give r(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - 2*c + 5*c)*(-c**4 + c**4 + c**4 + (438*c - 438*c - 29*c**3)*(4*c - 3*c + c)).\nAnswer: -228*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -71*q**3 - 2484*q**2 + 34*q - 40. Let w be h(-35). Sort -3, w, 410.\nAnswer: w, -3, 410","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 76454.39l?\nAnswer: 76454390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -418*r + 6693. Let i be g(16). Let t = 30 - 21. Solve -i*u = 11 + t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**3 - 150*d**2 - 2297*d + 391. Determine g(-22).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.01, 4090, 5, -0.2, -1\/2, -0.4, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (-47 - (-58 - 51))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1323013 (base 4) to base 13.\nAnswer: -3781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 1 + 61863901*n - n**2 - 61863901*n. Let a(j) = -4*j**2 + 3*j + 1. Give a(k) - 3*t(k).\nAnswer: -k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**4 - x**2 + x**2 + (2*x**4 - x**2 + x**2 + (-5*x**3 + 0*x**3 + 3*x**3)*(-x - 3*x + 0*x))*(4 - 1 - 5).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78 and 37153272?\nAnswer: 37153272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -50 + 55. Suppose w*h = 4*h - 4*y + 979, y = -4*h + 3916. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(343)*2 + sqrt(343) - (sqrt(343) + -1 + 3)**2)*3.\nAnswer: -1041 + 189*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4699 - 36c?\nAnswer: -4a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of g**9\/151200 - g**8\/50400 - g**5\/12 + 3*g**2. Let s(b) be the third derivative of h(b). Solve s(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616248 divided by 5706?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 12:19 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1692 is divided by 846.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*b + 17*b = 66. Let g = -29 - b. Solve -1 - 7 + g*j**2 - 4 - 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b = 17*b + 96. Calculate the least common multiple of (3\/2)\/(-3*(-2)\/b) and (10\/4)\/5*14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -113*i + 35*i - 17*i + 33*i to p + h*i and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 8*z + 6. Let v be g(-18). Let d = v - -1220\/7. Let u = 2\/391 + -1961\/1173. Which is the second biggest value?  (a) d  (b) u  (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.32 + -0.4. Let a = x - -0.08000001. Round a to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 10) to base 2\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from {c: 12, m: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 179 is divided by 78?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 14. Sort p, 3, 0 in decreasing order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1363 - 692. What are the prime factors of a?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 603 - 601 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-4))\/(49\/(-364)*(-4)\/(-14))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 705 = 4*h + 6*w, 5*h + 9*w - 889 = 0. Calculate the lowest common multiple of 198 and h.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 7*j**2 + 23*j - 60. What is x(4)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-35)\/(-24))\/(290\/232)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -99, -64, 5, 120, 293, 536?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from udduduuduududd. What is prob of picking 2 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z\/(z\/(z\/z**8))*z**3*((z\/(z**(3\/14)*z))\/z)\/z**(2\/77) assuming z is positive.\nAnswer: z**(-653\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12.5297*0.06.\nAnswer: -0.751782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -94 - -93. Let m(i) = -2*i**4 - i**3 + 3*i - 3. Let h(g) = g**4 + g**3 - g**2 - g + 1. Let u(j) = z*m(j) - 3*h(j). Solve u(a) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6)\/(2\/12). Let v(d) = -2*d. Let j be v(b). Suppose 56 = j*y + 3*l - 7*l, 4*y + 2*l = 62. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000081986 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1064 and 1491880.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 457 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14\/(3 - 13\/4). Suppose -4*b - 259 = 69. Let u = d - b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (4*(sqrt(1377) + -3)*2*-6 + -4)**2.\nAnswer: -120960*sqrt(17) + 3192207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 divided by -51?\nAnswer: -283\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*j + 26 = 513 + 197 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -31\/35, 0.1, -0.4?\nAnswer: -31\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 15*t**5 + 66*t**4 + 84*t**3 + 24*t**2 = 0?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8612*n**3 + 21125*n**3 + 49736*n**3 + 12042*n**3.\nAnswer: 74291*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 486891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -7*d**2 - 2*d + 4. Let b(p) = -3 - 2*p + 14*p**2 - 20*p**2 + 6. Let h be ((-10)\/8)\/((-3)\/(-12)). Determine h*b(l) + 4*j(l).\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.26*-83\nAnswer: -21.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 12, 84.\nAnswer: -5, -2, 12, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 2259 divide 66462822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163151.\nAnswer: 163151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*(-100)\/(-2310)*(3276\/(-35))\/13.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7289 times 2667?\nAnswer: -4610.9763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 35  (c) 23\/10  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*a + a - 26*a**3 + 34*a**3.\nAnswer: 8*a**3 + 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 6:44 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/5 + 2\/5. Let o = -118 - -634. Let t = -513 + o. Which is the closest to w?  (a) t  (b) -0.1  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-104)\/2*19449\/(-72)*2. Suppose 8*m - c = -5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 207 - 187. Suppose 5*s = 5*t + 30, t - 5*t - a = -2*s. Calculate the smallest common multiple of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(11\/11341)*(-1 + 2). Let y = 1994 - a. What are the prime factors of y?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 261*u - 682. What is y(-263)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 382*k + 1955. Determine f(-6).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - q + 65. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*v - 143 = 82, -3*v + 7 = 457*b - 455*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n + 12. Calculate l(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/1008 and 79\/18.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -4*i - 6. Let n(c) = 12*c + 17. Let x(q) = 3*n(q) + 8*s(q). Let m(y) = -y**2 + 10*y + 3. Let f be m(10). Is x(f) 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 {x: 1, h: 3, t: 4}. Give prob of sequence htth.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -439 - 1157 = -12*p. Calculate the highest common divisor of p and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + 2*m - 2. Let l be d(3). Suppose -10*b - 102 = -l*b. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 378*w**2 + 9*w - 38 wrt w.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0*o + 4*q = -32, -5*q = 3*o - 11. Let w(x) = 0*x**3 - o*x**2 - x**3 + 2 + 1. Let d be w(-12). Solve 7*n = d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - -9 - 10) + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -164\/7 + 24. What is the nearest to -1 in -3, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/3)\/r**(3\/5)*r\/(r**(-5)*r)*r*r**(-1\/4) assuming r is positive.\nAnswer: r**(329\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, n: 4, u: 1, g: 2}. Give prob of sequence gu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, 29, 111, 267, 521, 897?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1159679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6017835?\nAnswer: 3, 5, 23, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1468 or -4402\/3?\nAnswer: -4402\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 50 = 3*y, -10 = 2*q - 4*q. Let b be ((-2)\/y)\/((-112)\/80). Let n = 0.429 - 0.029. What is the smallest value in 0.1, b, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251*m = -10571 + 531 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.8 and -817.\nAnswer: -818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2 - i**2 + 4 - 4 + 6*i. Let u be x(4). Let a be 9\/27 - (-132)\/9. What is the highest common factor of u and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*z**2 - 603*z - 110 = 0. What is z?\nAnswer: -2\/11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1290 and 12772290.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 508744?\nAnswer: 2, 19, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 - 19*s**2 - 9*s - 35. Let q be d(-19). Suppose -3*p - a + 6*a + 102 = 0, -4*p + q = -3*a. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (3 - -17) - ((5 - 15) + 1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4 + 36240*a**3 - 108744*a**2 + 108752*a - 36252.\nAnswer: 4*(a - 1)**3*(a + 9063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(693)*4)\/sqrt(11) + -2.\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 70361252 or 70361253?\nAnswer: 70361253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 511*v - 512*v - 17 = 0, -n + 5*v = -22 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 8\/(-6))*3\/(-2). Let a(v) = 557*v - 26. Is a(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*d**2 - 25*d**2 + 70*d**2 - 22*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 422655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*v - 19 = -m, 0 = m - 1965 + 1978 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -20 - -20a8?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*f - 12*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32848 - -4228. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -2. Solve 2*r - 4*w - 16 = -2*r, -n*r + w + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14\/39 - -95\/156. Which is the nearest to -1?  (a) -6  (b) r  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2022*b**3 + 23*b*z**3 + 26315*z**3 + 1 with respect to b.\nAnswer: 6066*b**2 + 23*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4212 + -4042. Let o(b) = 7*b**2 + 4*b + 3. Let f be o(-3). Suppose 0 = 5*i + f - 224. What is the greatest common divisor of i and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/23, -2, 3 in decreasing order.\nAnswer: 3, -5\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 1302 - 8210 = 0. Let n = 18495 + q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -440*d**5 - 5361*d**2 wrt d.\nAnswer: -26400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 5, s: 2, t: 3}. Give prob of sequence tttd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -5*n**3 - 118*n**2 - 14*n + 9. Let y(i) = -i**3 - 30*i**2 - 3*i + 2. Give 2*w(o) - 9*y(o).\nAnswer: -o**3 + 34*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160 - 184 = -4*g. Calculate the greatest common factor of 42 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 534917, 1068351, 1601783, 2135213, 2668641, 3202067?\n\"Answer: -d**2 + 533437*d + 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*f - 8*f + 8*f)*(-39 + 39 + 23*f**2)*(-6*f + 2*f + 3*f) + (4*f**2 - 3*f**2 - 2*f**2)*(f**2 + f**2 - 4*f**2).\nAnswer: 209*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3*(-16)\/9 - 16\/12. Which is the third biggest value?  (a) -2\/9  (b) -1  (c) 3  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o - 9. Let d be h(-8). Suppose -6*y - 3 = -d. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 18*b + 1. Let j be g(-18). Is j bigger than -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -131*n + 9874. Calculate s(75).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -12ce1499?\nAnswer: -12ce149c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.9, -3, -3\/4, -4, -4\/7, -2\/65?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7170 = -100*u - 1714 + 18 - 734 for u.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, o: 15}. Give prob of picking 1 o and 2 y.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 635 is divided by 294.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -797*g + 803*g - 21*w = -18*w - 69, -3*g - 2 = w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-56)*-7*(-6)\/21\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -33242344440?\nAnswer: -33242344434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fpv when three letters picked without replacement from vvfkpp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -66.88 - -80. Let j = o + 1.2711. Let r = j + -14.4. Round r to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17490 by -66.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by -277.\nAnswer: 19\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 24251a (base 11) to base 2\nAnswer: 1011101101111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i**2 + 8*i**4 - 6*i**4 + 3*i**3 + i - 2*i to the form w*i**2 + s + n*i**4 + a*i + p*i**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 524 = 6*d + 74. Let p = 179 + -74. Let s = p - d. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a century in months?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 divided by 1884843.\nAnswer: -31\/1884843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (264\/16)\/(-11)*-3?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5*21\/(-35) - (-1 - -1). Solve l + i*m = 3*l + 18, 3*l + 25 = 4*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*c**3*i**3 + 131*c**3*i**2 - 2*c**2*i**3 - 15*c**2*i + 4*c*i**3 wrt c.\nAnswer: 36*i**3 + 786*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 7:50 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*k**3 + 22772*k**2 - 11384*k**2 - 11388*k**2 + 37*k**3.\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 at most -336\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/5, 162, 76?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 7*t**2 + t + 3. Let j be (4 + -1)*21\/36*-4. Calculate a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71*g**2 - 224*g**2 - 302*g**2)*(3*g - 2*g + 0*g) + 0*g**3 + g**3 + 5*g**3.\nAnswer: -591*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3 - 14066*d**2 - 1450338*d - 37116270.\nAnswer: 2*(d - 7135)*(d + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -3*j**2. Let n(t) be the third derivative of -t**4\/24 - 14*t**2. Determine i(n(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1110027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.1 + 3.9. What is the closest to 0.1 in 0.1, o, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95561 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: Solve -3 = 2*x - 1, 3*o + 3*x + 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14\/(-4)*(-4)\/7. Let k(i) = -38969*i**2 + 0*i - 40006*i**2 - 4 - 26026*i**2 + 4*i. Let x be k(h). Round x to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + -1. Suppose -3*u + u = 3*r - 4, 5 = -5*u. Suppose -2*t = -t + m + 5, 0 = 3*t - r*m. Which is the nearest to t?  (a) -1\/2  (b) p  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14476.4413 rounded to the nearest 100?\nAnswer: -14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -10. Suppose -2 = 2*f, 3*q - 5*f + 52 = u*q. Let m = q - 25. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 852*l**3 + l**2 + 2*l + 1. Let d be b(-1). Let q = d - -2389. List the prime factors of q.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, k: 2}. Give prob of picking 1 k and 3 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26382 + 26406. Calculate the lowest common multiple of 2 - (-11)\/2*4 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -19*x**2\/6 + 8613*x\/2 + 680\/3 = 0.\nAnswer: -1\/19, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.2 - -1. Let x = -0.6 - -1. Let g = 36 + -35.7. Which is the biggest value?  (a) x  (b) g  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-720)*3*-4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2001310310 + 2302?\nAnswer: 2001313212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 2:15 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 + -16. Suppose 3*h - u*m - 52 = 0, m + 12 = -2*m. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 5*s - 15, -3*a - 131*s + 11 = -135*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.042 * 1211.\nAnswer: 50.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-5 - ((3 - 4) + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 t when four letters picked without replacement from {s: 2, k: 7, r: 2, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 20*o + 25. Let d be l(21). Solve 0*s - 2*s + d = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -43 - 11?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1374.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/300630748 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 34468 and -10.\nAnswer: 34458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1809799?\nAnswer: 4\/1809799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 466 divided by -1086.\nAnswer: -233\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 23\/6. Let u = 151\/3605 - -52\/515. Which is the closest to u?  (a) y  (b) -0.5  (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -560, -0.1 in ascending order.\nAnswer: -560, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -13, -3, 23, 65, 123, 197?\n\"Answer: 8*d**2 - 14*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 8 = -y - 3*u, 2*y + 4*u + 8 = 0. What is the closest to 1 in -1, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(20)\/(sqrt(16)\/sqrt(4)*-1) + 3*sqrt(60)\/sqrt(432))**2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**3 - 23*q**2 - 15*q + 30. Let w be z(12). Let v(h) = h + 1055. Let f be v(0). Is (w\/(-3))\/(10\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uudu. What is prob of sequence du?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w + 9. Let i be g(-6). Let h be 2\/i + 1588\/15. Is h - (-7 + (7 - 3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 5*q**2 - 305*q - 3. Let a(z) = z**2. Give v(a(b)).\nAnswer: 5*b**4 - 305*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 6:45 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.40134 decades in centuries?\nAnswer: 2.040134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 + z - 1. Let t(w) = 9*w**3 - 5*w - 4*w**3 + 4 + w**2 - w. Let u be 6\/(-10) + 48\/30. What is u*t(m) + 4*o(m)?\nAnswer: m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5261917?\nAnswer: 19, 23, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/1)\/(1\/(-2)). Is y bigger than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6069881*b**3*v + 5*b**3 + 39308*b**2 - 6*b - 2 wrt v?\nAnswer: -6069881*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16127597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -14*b + 5. Let h be d(5). Let z = 67 + h. Solve 15 = -z*y + 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 39. Let r(k) be the first derivative of -16*k**3\/3 - 297. Give g(r(w)).\nAnswer: -256*w**4 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10932 - -7?\nAnswer: -10929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06778 + 7792986080.\nAnswer: 7792986080.06778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 7 - 20 + 3 + 3*h - 2*h. Let n be k(10). Is -1\/4 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-4)\/(-6) + -1). Suppose r = 2*h - 21, 2*r - 11 = -3*h + 3. Suppose -p = p + s*g + 4, 0 = 2*p + 5*g + h. Put 3, -5, p in ascending order.\nAnswer: -5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/(-30) + (-549)\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.003 + -14.997. Let q = -16 - w. Let r = 0.1 + -0.1. Sort q, r, 0.4.\nAnswer: q, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 396, 337, 230, 69, -152, -439?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1565, 3089, 4573, 6017, 7421?\n\"Answer: -20*o**2 + 1584*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/8 - (-45)\/12. Let r(w) = -w**3 + 9*w**2 + 1. What is the remainder when r(v) is divided by -4 + -9 + 38 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 105 and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 1 + 3. Let v(n) = n. Determine v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/9 - (1 - 0). Solve l = -f - 5*n + 5, -2*f + 2 = 3*n - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -m + 4*w, 1 - 3 = 2*m + 4*w. Let k(g) = 13*g**2 + 3*g - 4. Let v(y) = -7*y**2 - 2*y + 2. Let c(x) = -6*k(x) - 11*v(x). Determine c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 157750 or 157737?\nAnswer: 157737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 10*g**2 + 3*g - 3. Let u(h) = 80*h**2 + 25*h - 25. Determine 25*s(l) - 3*u(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 17920725?\nAnswer: -17920725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 5*c**2 - c - 5. Let w = -26 + 44. Let p = -20 + w. Let l be ((-16)\/3 - p)\/((-4)\/6). What is g(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -143437 - -143457.00008. Let t = -20 + h. Round t to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.006 + -2. Let y = g + -0.0097. What is y rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4072, 15091, 33096, 58093, 90088, 129087, 175096, 228121?\nAnswer: 288168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 137*p**2 + 138*p**2 - 430*p**2 + 10963*p + 157*p**2 in the form r*p**2 + f + k*p and give k.\nAnswer: 10963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((-3510)\/(-126) - 20).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h = 13*h - 54. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 11100000001?\nAnswer: -11100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiddi. What is prob of picking 2 i?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 602?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 190 + -64. Let h = -65 + l. What are the prime factors of h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 78+-105\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97524500?\nAnswer: 2, 5, 195049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -4  (c) 0  (d) 169  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b - 3 - 1 - 4*b**2 + 3*b**2 - 1. Calculate s(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 555694781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, b: 2, y: 3, a: 2, o: 1, x: 3}. What is prob of sequence yf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 496506674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - 78.796499.\nAnswer: -74.796499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 PM and 12:21 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + p - 11 = 0, 3*p + 41 = 4*d - 17. Suppose -3*h = l - d + 3, 4*h - 16 = -4*l. Solve h + 1 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -a + 25. Suppose 2*t = t - a. Does 4 divide (t\/(-15))\/(1\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-8)*(-10)\/6. Let c = -16855 + 151693\/9. What is the smallest value in c, 0.1, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -15350*k**2 + 7722*k**2 + 7679*k**2. Let g(q) = 4*q. Calculate g(l(f)).\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -3, -11, -3.873, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3769.848 - -3809.84781. Let u = -0.019 - 39.981. Let o = y + u. What is o rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 12:58 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of j**8\/560 + j**7\/56 + j**6\/15 + j**5\/10 - 12*j**3 + 37. Let y(t) be the third derivative of c(t). Factor y(l).\nAnswer: 3*l*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, o: 18}. Give prob of picking 2 o.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2*(-7)\/((-7)\/86)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/5 - 14144*p**2\/5 + 113204*p\/5 - 169824\/5.\nAnswer: -(p - 6)*(p - 2)*(p + 14152)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 21314430 (base 5) to base 14\nAnswer: 4a710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*q = 72*q + 1466 - 246 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 14*x = 19*x + 28, 0 = 4*g + 3*x + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000587959 rounded to five dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 5*m**2 - 6*m. Let j be q(6). Suppose 0 = -d - 0*d - 2*g, j = d - 4*g. Let k be 3\/6*1*d. Solve k = 3*z - 2*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l + 20 = 10*l. Solve 5*y - y + l = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31518 divided by 6\nAnswer: -5253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 85 + -81. Solve -9*w + r = -13*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 175202?\nAnswer: 876010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 25195.\nAnswer: -1\/25195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1820, -3749, -5896, -8369, -11276, -14725?\n\"Answer: -18*w**3 - w**2 - 1800*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -10. What is the remainder when (40\/7)\/((-46)\/(-161)) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5009\/5 + -1006. Calculate the common denominator of (-1)\/(-2)*414\/99 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 12*j**2 - 7*j + 10. Let k(g) = g**2 + g + 1. Let u(y) = -f(y) - 6*k(y). Let c be u(-5). Solve x + 5 = -c*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 82?  (a) -2\/9  (b) 0  (c) -8  (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -256 (base 11) to base 15.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3*1*sqrt(77) - 1*(sqrt(77) - sqrt(77)*2))\/(sqrt(567)*1 + 1*sqrt(175)).\nAnswer: -8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 8 = 4*x, 4*x + 2 = -5*y - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -29*j - 38. Let w be h(6). Let z = w + 264. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 912 and 190.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -772852.7 to the nearest 10000.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78839 is divided by 5052?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2729060171?\nAnswer: 37, 2269, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - 0)*(-2 - -3). Let x = b + 5. Let w(m) = 3*m**3 - 3*m**2 + 2. Let v(l) = -16*l**3 + 16*l**2 - 11. Let q(j) = 2*v(j) + 11*w(j). Determine q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 678507 - 678499. Let u(z) = 6*z**3 - 13*z**2 - 5. Let j(q) = -7*q**3 + 14*q**2 + 4. Let k(y) = 5*j(y) + 6*u(y). Give k(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + 16da8?\nAnswer: 16db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k - 6*k + 0*k)*(6*k + 3 - 4 + 3*k**2 - 5*k) as d + f*k**3 + a*k**2 + j*k and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -509, -1.\nAnswer: -509, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 2:05 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -314, -596, -1062, -1712, -2546, -3564, -4766?\nAnswer: -6152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*t + 26*t + 16 = -2*x, x - 22 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-2)*(-60)\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 24 = -3*i - 3, 5*x = -5*i - 45 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 30, 45, 60, 75, 90?\n\"Answer: 15*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-1 + -3 - (7 + -9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -717 - -713. Let w be (14\/s)\/(45\/(-180)). Which is bigger: w or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4\/2 + 41*u**3\/2 - 273*u**2 + 1078*u + 1372.\nAnswer: -(u - 14)**3*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 531 times 0.02\nAnswer: 10.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 4*w**2 - 13*w + 4. Let h be f(6). Let c = 0 + 4. Calculate the remainder when c is divided by (-30)\/(-21) + h*(-4)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/58*8313\/(-41565).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 22*d + 178. Let q be h(-8). Factor 29*y**q + 10*y**2 - 12*y - 12*y + 12*y.\nAnswer: 3*y*(13*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 140. Let j = i + 1162\/9. Let x = 0 - 0. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {n: 1, h: 3, o: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.03703 + -0.03703. Let k = -91 + 93. What is the closest to k in 0.3, v, 3, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/2)\/((-43)\/43)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**2 - 1 + 3*b - 1 - b. Let f(x) = -5*x**2 + 6*x - 5. Let m be (-2 + 1)*(-53 + (61 - 0)). Determine m*p(w) + 3*f(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 373501 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 10 + 0 = 5*t, -2 = -t. Suppose s - 3 + 1 = d. Suppose 4*q = -4, -2 + 11 = 2*l - 5*q. Solve 0*a - s = -l*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(119) - 5*(sqrt(119) - sqrt(119)*1 - sqrt(119)))\/sqrt(7).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-72)\/(-120)*(1\/(-14))\/((-96)\/(-128)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + f + 1. Let v be r(0). Let q be (v\/3)\/((-3)\/(-18)). Solve q = 4*b - 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-2))\/((-1)\/(-5)). Let d be -4 - -18 - 0\/1. Let o = d - u. Solve 1 - o = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 60 - 2*j**4 + 2*j**4 + 154*j**2 - 634*j**5 - 92*j**2 - 61*j**2 wrt j.\nAnswer: -38040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/3)\/(9\/(-135)). Suppose 95 = z*o + 4*c - c, 2*o - 38 = 3*c. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 865.3416l?\nAnswer: 865341.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + 38*w**2 - 1165*w - 36666. What is q(-46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 164028 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162 + -162.4. Let d = -1.2 + -3.8. What is the nearest to -2 in -1, d, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-567)\/(-405)*(-64)\/5 - -18.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/54)\/(15\/35*3*35\/30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0027690492 to six dps.\nAnswer: 0.002769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 483, 375, -321, -1605, -3477, -5937?\n\"Answer: -294*v**2 + 774*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 992889.\nAnswer: 3, 110321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(((u\/((u**(-3)\/u)\/u))\/u)\/u*u))**(-2\/17))**(2\/3)\/((u*u\/(u**(-1\/6)*u))**(2\/53))**(-28) assuming u is positive.\nAnswer: u**(4180\/2703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7337, -14682, -22029, -29378, -36729?\nAnswer: -44082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89952 + p**2 + 3*p**2 + 2*p**2 + 89952.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -166*g**2 + 44*g. Let d(c) = -33*c**2 + 9*c. Let s(k) = -11*d(k) + 2*x(k). What is the second derivative of s(m) wrt m?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.2  (b) -5  (c) 7.7  (d) 5  (e) 93  (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yddvyyvycdcxxcl. Give prob of picking 1 c, 2 d, and 1 x.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - -2. Let x be (-19 + 18)\/(2\/(-6)). Sort x, -4, q in decreasing order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (51 - 32)) + 98 - 11?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2359.\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/6*325560\/6158510\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 755689.\nAnswer: 25\/755689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2444 = -2*z + l, 18*z = 13*z + 4*l + 6104. Is 72 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 23*y + 25. Let j be v(22). Suppose 2*s + 463 = 8*o - 5*o, 302 = 2*o - j*s. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {c: 5, z: 2, s: 6, k: 2, l: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/235482 and 19\/60675862.\nAnswer: 182027586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -213, -393, -539, -651?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, c: 1, o: 2, y: 2}. Give prob of sequence xo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 162 + -159. What is the derivative of 65*t**w + 73 + 49*t - 28*t - 21*t wrt t?\nAnswer: 195*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*f + 9*f + 24 = 4*n, -3*f = -5*n + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1666927 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -179\/169060500 and -3\/8750?\nAnswer: 845302500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of 4*j**7\/35 - 7*j**5\/60 + 10*j**2 - 8. Let m(z) be the second derivative of i(z). What is the third derivative of m(c) wrt c?\nAnswer: 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/16 - (-2)\/8. Let t be (-12)\/(-81)*-6 - c. Let k = 2\/9 + t. Which is bigger: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 41426604 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -84*x + 80*x + 104. What is the derivative of -39 + 33*j**3 + 27*j**2 + x*j**2 - 53*j**2 wrt j?\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -0.01, -126, -0.17?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*o - 12, 0*x + 3*x - 5*o - 4 = 0. Let t**2 - t**3 + 2*t**2 - x*t**3 - 12*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15043*-6.\nAnswer: 90258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -588 by -4.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*v + 6 = 122*v - 63*v. Sort 9, -4, 12, v in descending order.\nAnswer: 12, 9, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 98 - 101. Let n(s) = -313*s - 18. Let d be n(m). Round d to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3206668601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 111027751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**4\/5 + 24*p**2\/5 + 32*p\/5 + 12\/5.\nAnswer: -4*(p - 3)*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 4*b - 10*b + 0*b + (3*b + 4*b - 6*b)*(12 - 2 + 0).\nAnswer: 4*b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + (-874)\/(-4))\/(1\/(-10)). Let o be 4\/(-6) + (-1397)\/t. Let p(u) = -u**2 + 5*u + 5. Let k be p(6). Is o <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/12 and 187\/201240.\nAnswer: 201240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152206113?\nAnswer: 3, 50735371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/15 + 59 - 58.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34236 and 42336.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 - -3231311213?\nAnswer: 3231311131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3002212 - -113301?\nAnswer: -2222311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*j = -6*j - 2*j + 760. Solve -35*a = -j*a + 27*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 5*v = -6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 6*o + 143. What is y(-13)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 3*t. Suppose 5*n + 0 - 25 = t. Find the second derivative of -w**4 - w + 3*w**n + w**4 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 10104*p + 5668330. Calculate k(-561).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 = -5*m + 2*t, -310*t + 54 = 3*m - 313*t for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}