{"text":"Question: What is the second derivative of -16003*u**3 - 23771*u?\nAnswer: -96018*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 = -4*z - 3*s, 5*z + 5*s - 45 = 25. Find the second derivative of -z*n - n**2 + n**2 + 7*n**3 + 3*n wrt n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20009580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r + 6 + 24. Let g(l) = -5 + 3 + r + 7*l. Does 16 divide g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 21 = 5*f, 3*l - 2 = f - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 22758 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 101400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 23483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -93198 + 377209\/4. Let w = c - 41969\/38. What is the common denominator of -7\/22 and w?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -56 + 38. Let x = -11306 + 11309. What is the closest to -3 in x, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qpi when three letters picked without replacement from qpxixixxp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 + 32)*(-96)\/(-30). What is the greatest common factor of 4096 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -4, 4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*n**3 - 36*n**2*z**2 + n - 1213*z**2 wrt n.\nAnswer: -18*n - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 32273401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u = 2*u. Suppose -5*b + 16 = -i + 7, b = -i + 3. Suppose u = j - 3*z - 9, j + 5*z - b*z + 3 = 0. Solve 0 = -y + 3, -5*t - 7 = -j*t - 3*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 1247 - 482 = 267*a - 1051 - 320 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1506 = 7*j - 5508. Let q = j + -668. What are the prime factors of q?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -11*k**3 - k - 1. What is the remainder when 19 is divided by v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 k, and 2 j when four letters picked without replacement from kkzkjkkjkskkjkk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8057468 is divided by 895269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(68) - 2*(-1 + sqrt(68)))**2 + -4 + (1 + sqrt(68)*1)**2 + -4.\nAnswer: -4*sqrt(17) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10748 + 129*k**2 + 104*k - 10750 + 55*k**2 + 72*k**2 wrt k.\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (92 - (-59 + 14)) + -223?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -318*f**2. Let n(o) = -o**2. Give n(g(p)).\nAnswer: -101124*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -12. What is the smallest common multiple of f and 1\/1 - (-6 + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes after 12:25 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*l**2 + 105*l**2 + 171*l**2 - 50*l**2.\nAnswer: 254*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4 - (5 - 25)\/10. Which is the nearest to 1\/16? (a) 5 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 76, -5, 3, 0, -7 in ascending order.\nAnswer: -7, -5, 0, 3, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 81 = 11*h + 169 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1239 is divided by 78.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*g + 13171 - 13828 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.051512119 times -17?\nAnswer: 0.875706023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 356 a factor of 125428412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 149205709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 41*k**2 - 3 + 6.\nAnswer: 41*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*m - 100044 = -12*m - 32256. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-544)\/(-10) - (-15)\/25. Suppose -5*x = g - o, 2*g - g - 43 = -4*x. Let d = -7 + x. Calculate the remainder when 9 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-66 + 1 - 30)*((-2*b + 5*b - 2*b)*(-b - 4*b + 3*b) - 3*b**2 + 2*b**2 + 2*b**2 - 2*b**2 - 2*b**2 + 2*b**2 - b**2 - b**2 + 3*b**2).\nAnswer: 190*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -12 + -11 + 5 - -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of -h**2 + 58. Let c(j) = j. What is -2*c(k) + x(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-68)\/(-12)*((-19)\/(133\/(-14)))\/2\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (54 + -1)) + (1 - -8) + (12 - 21)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, q: 17}. What is prob of picking 1 q and 1 g?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13\/18 - 5\/9. Let t(m) be the second derivative of -1\/3*m**3 + 0*m**2 + 0 - 2*m + h*m**4. Determine p so that t(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-2)\/(-7))\/(1\/7). Suppose 5*w - u*w - 35 = -4*d, -3*w - 3*d = -30. Let m = w - -9. Solve 0 = -2*v + 5*n + m, 3*v = -0*n + n + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 201*150.57\nAnswer: 30264.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8.98 + 9. Let t = l + 10.48. What is t rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 704186051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*3*(((-5*(-1 + sqrt(2057)))**2 - (-2*sqrt(2057) + 4)) + -1)*4.\nAnswer: -31680*sqrt(17) + 3086700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 70 - 59. Let f(d) = 4*d**2 - 9*d - 81. Is 15 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 5*u + 20, 2*h + 0*u - 3*u - 12 = 0. Let m = h - -5. Suppose -2 = -3*p + 10. Sort -1, p, m in descending order.\nAnswer: m, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 3+-12318509\nAnswer: -12318506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1268 - 1268.547. Round h to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -916262208 or -916262209?\nAnswer: -916262208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (372\/(-9))\/((-5)\/15). Suppose 2*a = g - 41, 3*g - w = -5*a + 10. Let t = g - 24. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 144 and 66564?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**3 + 635*w**2 - 4760*w.\nAnswer: -5*w*(w - 119)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -10302 = 128*b - 11582 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -46 in 4, 1\/31, 1?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence do when two letters picked without replacement from dmomdodmommmdomooo?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -16*w**2 - 28*w - 8271. Let s(k) = -47*k**2 - 83*k - 24832. Let m(q) = -7*o(q) + 2*s(q). Differentiate m(b) wrt b.\nAnswer: 36*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 5*u - 47. Let i be v(10). Factor 0*c**i - 2\/7*c + 4\/7*c**4 + 2\/7*c**5 + 0 - 4\/7*c**2.\nAnswer: 2*c*(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 7276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -1*(-11)\/(77\/1659)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2 + 7*p - 1. Let a = -75 + 21. Let h = 59 + a. Calculate x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 151 (base 6) to base 12.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1979.\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2437*j**6 + 2*j**5 + 2*j**4 + 7*j**2 - 251*j.\nAnswer: -292440*j**3 + 120*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**3 + 29*n**2 + 62*n + 270. Let g be b(-27). Calculate the highest common divisor of g and 1656.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence im when two letters picked without replacement from iiimm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 22 divided by 1722613\nAnswer: 22\/1722613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14 + 8. Let t = -31 - -25. Is t greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7548984305 to the nearest integer?\nAnswer: 86885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 117863?\nAnswer: 43, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 + -9 + -58 - 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -3*n**4 - 18*n**3 + 1176*n**2 - 8484*n + 18168. Let m(o) = -o**3 + o**2 + 5*o - 2. Let q(v) = f(v) + 12*m(v). Suppose q(p) = 0. What is p?\nAnswer: -28, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**2 - 3*j + 3. Let n be z(2). Let h = 613 - 608. Sort -3, h, 3, n.\nAnswer: -3, n, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -0.1 (b) 0.1 (c) 0.5 (d) -1 (e) 0.6263\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2012345187 to the nearest integer?\nAnswer: 44859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 76, 0, 50, 11, 3, -4 in ascending order.\nAnswer: -4, 0, 3, 11, 50, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times -0.328\nAnswer: 0.1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(1900) - (sqrt(1900)*3 + sqrt(1900))**2 - sqrt(1900)) + sqrt(1900).\nAnswer: 10*sqrt(19) + 152000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/333 and 43\/629.\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 470075726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-8)\/4 - ((3 - 5) + -366)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13118 + -13114. Solve 4*j - 14 = -2*q, 3 = -q - s*j + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 92, -4, 0, 66, 2 in ascending order.\nAnswer: -4, 0, 2, 66, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2013 - 1?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 391*c - 44 = 5*j + 389*c, 22*j = c - 61 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 + -11. Let v be (2 - u) + 116 + -3. Suppose v = -7*o + 12*o. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(99) - sqrt(99)*-3))\/((sqrt(9) - sqrt(9)*2)*-1).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2080 and 433875?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/(-3)*15\/(-2). Let c(b) = -2*b + 3. Let x be c(y). Suppose -x + 1 = 4*f. Which is smaller: f or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*d - 8*d - 8*d + 23*d + 91*d**3 - 3*d as p*d**2 + q*d**3 + j + s*d and give q.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 74\/749 + 20\/107. Which is the nearest to r? (a) 0.5 (b) 2\/9 (c) -0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3675529408 to the power of 1\/2, to the nearest integer?\nAnswer: 60626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-66)\/(-36) - (-2)\/12. Let k(l) = -2*l**2 - 77*l - 33. Let x be k(-38). Does 16 divide c + -1 + (114 - x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 14*(-3)\/(-2) + 1. Let g = 18 - t. Let h = g + 8. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 2*s**3 + 18*s**2 - 4*s - 53. What is v(-9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1387 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 88 = r. Let h = -25 + r. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98488349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, -9, -37, -81?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -0.5*262\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 129*b - 5. Let j be (20\/(-6))\/((-2)\/(-9)). Let m = j + 20. Let y be w(m). Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-58)\/28 - (-7 + 5))\/((-26)\/91)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -33 - -26. Let r be z\/(105\/(-24)) + 8\/20. Solve r*m - 2 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3996283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 250 = 2*h + 5*y, -2*h - 250 = -4*h - y. Let a = 300 - h. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -0.5, 102.97, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (41 - 0) + (-374 - -383 - (-1 - -5)) + -5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3*u. Let n(w) = -w**3 - 7*w**2 - 7*w + 1. Let p be n(-6). Let y(l) = -l**2 + 9*l - 9. Let d be y(7). Let c(g) = d*g - p*g - g - g. Calculate c(h(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:35 PM and 10:17 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + -1*sqrt(99)*1))*-1)\/(sqrt(36)\/(sqrt(64) + sqrt(64)*1 + sqrt(4) + sqrt(4) + sqrt(4))) + 2)*-4.\nAnswer: -8 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3938117\/20 - -195039. Let p = -1866 - l. What is the common denominator of 13\/36 and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -34 - -71. Let t = -34 + l. Let f = 0.4 + -0.3. Sort t, -4, f.\nAnswer: -4, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v + 2*v - 4*v)*(-5 + 2 + 2)*(-50*v - 38*v - 12*v).\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 17, 25, 0.5, -6.9, -1.\nAnswer: -6.9, -4, -1, 0.5, 17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of 3\/2*b**2 + 0*b**4 + 0*b - 8 + 0*b**3 + 0*b**5 - 7\/6*b**6. What is the second derivative of r(q) wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 19536, 40822, 76298, 125964?\nAnswer: 189820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 111 and 28416.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 3*n**2 + 3*n + 1. Suppose 2*x - 4*x = -12. Let o be (-5)\/((-15)\/x) + 1. Suppose -o*y + 4 = -l + 14, 5*y = l - 18. What is t(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -p**3\/7 + 64*p**2\/7 - 884*p\/7 - 4624\/7 = 0.\nAnswer: -4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 957.0932 days in nanoseconds?\nAnswer: 82692852480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + n - 2*t + 6 = 0, 5*t - 15 = -4*n. Suppose 2*f - 5*f + 33 = n. What is the remainder when (13 + 3)*10\/8 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.166264cm?\nAnswer: 1.66264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 533518 is divided by 432?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -1972*n**2 + 1355*n - 17*n**4 - 1294*n - 1 + 2*n**3 + 1971*n**2 in the form a + i*n**4 + t*n**3 + z*n**2 + p*n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify q*q**5*(q**11\/q*q)\/q*q\/q**(-2\/15)*q\/q**(-4) assuming q is positive.\nAnswer: q**(332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of -v**10\/7560 - v**6\/360 + v**4\/6 - 6*v. Let h(n) be the third derivative of g(n). Find the second derivative of h(t) wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 11*b**3 - b**2 + 5. Let n(p) = 6*p**3 - 18 + 2*p + 21 - p**2 - 2*p. Let x(o) = 7*n(o) - 4*q(o). Factor x(c).\nAnswer: -(c + 1)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -5. Let o(u) = 0*u + u + u**j + 1 + 7*u**2. What are the prime factors of o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 5*q - 2. Let g(i) = -7*i + 7. Let c(s) = s - 1. Let n(t) = -6*c(t) - g(t). Let f(a) = -11 + 2 - 1 + a + 0. Let r be f(6). Determine r*n(b) + x(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5\/3, -12.9, -3\/4?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -31 + 1. Let f = 35 + g. Suppose v = f*v - 28. Solve -v*h + 3*h = 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -21*r - 2. What is the units digit of k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -2*l**3 + 829*l**2 + 1244*l + 1578. Determine g(416).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -3605701776027 - 0.06?\nAnswer: -3605701776027.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**5 - 39696595*i**3 - 177964751*i.\nAnswer: -20*i**3 - 238179570*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the first derivative of 3*n**4 - 10*n**3\/3 + 5*n**2 - 15. Let l(r) = -r**3 + r**2 - r. Let s = 22 - 32. Determine s*l(q) - k(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 311 - 199. What is the least common multiple of 18 and t?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*((-3)\/2)\/(24\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/3)*o\/o**(-1\/2))\/(o\/(o**(6\/7)\/o)*o\/o**(2\/5))*(o\/(o*(o*o**3)\/o*o))\/(o*o*o**6)*o**0*(o*o**(-8))\/o assuming o is positive.\nAnswer: o**(-4111\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**4 + 954*o**3 + 42*o**2 - 20074*o + 19080 = 0. What is o?\nAnswer: -5, 1, 4, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002191376 rounded to seven decimal places?\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-1\/3))**6\/(l\/l**(-2\/5))**(5\/8) assuming l is positive.\nAnswer: l**(57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-19)\/((-836)\/2442))\/(840\/112)\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: a0a677 (base 11) to base 5\nAnswer: 403442010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-78)\/(-4))\/((-58089)\/402 + 145)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 108 + -1529738\nAnswer: -1529630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the second derivative of -y**3 - 7*y**2\/2 + y + 392. Give a(8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 10031311 (base 4) to base 10\nAnswer: 17269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -514630*p**5 + 2*p**3 + 2428*p - 221 wrt p?\nAnswer: -10292600*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from abfqx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (971*r - 317*r - 435*r)*(-11*r - 5 - 3*r + 5).\nAnswer: -3066*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -70151, -4, -54 in descending order.\nAnswer: -1, -4, -54, -70151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 335 in -0.01, 2\/7, -244, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -2*u - u + 2*u. Let x(l) = l + 3. Let t(n) = 6*n + 24. Let q(r) = 3*t(r) - 24*x(r). Let f(s) = -7*s. Let c(k) = -3*f(k) + 4*q(k). What is c(j(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00772707 rounded to four decimal places?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 54 and 135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11571*a + 11575*a - 2105*a**2 - 23146*a to the form f + g*a + h*a**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -53911, -1.98, -1\/5.\nAnswer: -53911, -1.98, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g + 3 - 3)*(-2*g**3 + 1 - 1) + (0*g + 0*g - 2*g**2)*(-43*g + 51*g + 15*g)*(-2 + 2 - g) + (2*g**4 - 16*g + 16*g)*(-3 - 1 + 1).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 6\/1777 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16903489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + a**2 - 3 - 2*a**2 - 2*a**2 + 0*a**2 + (2*a + 7*a - 3*a)*(7*a + 6 - 6).\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(343)*-2)**2*-4*4*1 + (sqrt(343) + sqrt(343)*3 + -2 - (1*sqrt(343) + 1)) + -5.\nAnswer: -21960 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(143)*2)\/sqrt(11)*4 - sqrt(26)\/(sqrt(450)\/sqrt(9)))**2.\nAnswer: 19773\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 3*b = -0 + 3, 2*y + 5*b - 31 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -53 - -101. Let o = 55 - c. Solve -18*y**3 - 7*y**3 + 5*y + o*y - 2*y + 15*y**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.4 + 2.6. Let o = m + -22. Let y = o - -14. Which is the nearest to y? (a) 0.01 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 2*m - 1 + 3, -4*n = m + 1. Suppose 2*s = -6, n = -i - 5*s - 4 - 7. Factor 2*u + u**4 - 3*u + 3*u**2 + 2*u**i - 2*u**4 - 3*u**3.\nAnswer: u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -74, -154, -244, -350, -478, -634, -824, -1054?\n\"Answer: -c**3 + c**2 - 76*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4817531.\nAnswer: 173, 27847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9269 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 48625 divided by 3052\nAnswer: 48625\/3052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by 32851?\nAnswer: 8\/32851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -258.732 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.6*1397.5.\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3*sqrt(76) - sqrt(76))*-1 - (sqrt(76) - sqrt(76)*-5)*4)\/(1*-3*sqrt(144) + -1*sqrt(144)*6))**2.\nAnswer: 1900\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1089*v**2 + 122*v - 763 + 762 - 123*v to d + q*v**2 + y*v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*2\/10*2\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of -l**7\/630 - l**6\/120 + l**5\/180 + l**4\/24 + 8*l**2. Find y, given that o(y) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27504892?\nAnswer: 2, 6876223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g + 1. Let b(s) be the first derivative of 1 - 7\/2*s**2 + 6*s. What is b(d) - 5*v(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(-1)*k)**47\/(((k\/((k**(1\/6)\/k)\/k))\/k)\/((k\/((k*k**4*k*k*k)\/k))\/k)) assuming k is positive.\nAnswer: k**(229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 6945.709 plus 2000363?\nAnswer: 2007308.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -103.7541948706 take away 0.4?\nAnswer: -104.1541948706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -349 + 40 = -3*x. Let i = x - 10. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38.6009 + -0.0009. Round n to 0 decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143826 is divided by 15980.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7 - -11. Suppose 0 = 5*o + 2*g - 35, -2*o = -m*o + 3*g + 14. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 26110.8 + -5468045\nAnswer: -5441934.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -33 > -997\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t + 10. Let o be j(-13). Suppose -p + 172 = o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5}. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*z**2 - 17*z**2 - 34 - 15*z**2 to k + d*z + m*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 316711 = 2533697\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - -2*sqrt(15)\/sqrt(3) - (sqrt(220) + sqrt(55) - sqrt(55))\/sqrt(11))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -76 by -3.\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 73\/13 + -355\/91. Factor u*z - 3\/7*z**2 - 12\/7.\nAnswer: -3*(z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69247048 divided by -314?\nAnswer: -220532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 212942518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -544, -288, -32, 224, 480, 736?\n\"Answer: 256*y - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (51*b**4 - 6*b**2 + 20*b**2 - 13*b**2)*(-12*b + 19*b + 12*b).\nAnswer: 969*b**5 + 19*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -93 + 116*z - 236*z + 140*z. Is 21 a factor of g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 253428 and 78561.\nAnswer: 948074148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*p + 4*q - 0*q, 15 = 3*p + q. Solve p*o - 6*o + v + 2 = 0, -4*o + 2*v = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 369*l**2 + 1 + 180*l**2 + 273*l**2.\nAnswer: 822*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is a in 4*a**2 - 14890872*a - 14890876 = 0?\nAnswer: -1, 3722719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6 - 65\/10)*-6. Let l(i) = i + 2. Let p(j) = 2*j + 3. Determine h*p(o) - 5*l(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**3 + 19*l**2 - l + 9. What is d(19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from ppeypgykpg?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 61 + 36 - 10 + 38 + 36 + a**2 in the form q + k*a**2 + t*a and give q.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-1))\/((-125)\/150)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3279949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 15*(-2)\/(-12)*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*z = 16*z. Let f(j) = 2 + j - 3*j**2 + z + 5*j**3 - 6*j**3 - 4*j. What are the prime factors of f(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 - (41 - 35) - -14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -55 - 3*b**2 + 3*b + 19 + 21 + 14 + b**4 in the form x + f*b**4 + p*b + d*b**3 + y*b**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -48? (a) 0.03 (b) -10.9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s = -b + 86, -5123*b = -5118*b - 2*s + 56 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/((m\/((m\/(m*m**(-6)))\/m)*m)\/m)*m*m\/m**(-33))\/(m\/(m*m*m\/((m\/(m\/((m*m**(-25))\/m)))\/m)))**33)**(2\/15) assuming m is positive.\nAnswer: m**(1928\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 4 + 2*a)*(2 + 6 - 4) - 2 + 2 + a + a + 5*a + a as j*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 800*o**5 - 571280*o**4 - 21603678*o**3 + 47764652*o**2 - 4614152*o + 114000 = 0.\nAnswer: -38, 1\/20, 2, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 9438 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -51 < 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85*z - 87*z = -88. List the prime factors of (-4 - z\/(-8))*1948\/6.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (103 - 232 + 95)*(-2 + 5 - 2)*(10*v**4 - 8*v**5 + 0*v**4 + 6*v**5).\nAnswer: 68*v**5 - 340*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -101970 and -0.4?\nAnswer: 101969.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 100010201011 (base 3) in base 4?\nAnswer: 223322023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zttdeidb. What is prob of picking 1 e, 1 b, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 104 + -98. Let m be ((-10)\/x - -2)\/(15\/10). Factor 2\/9*c**2 - m*c**3 - 2\/9 + 2\/9*c.\nAnswer: -2*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -4. Let i = -0.8 - -5. Let l = 4 - i. What is the second smallest value in -0.1, l, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k**2 + 33*k + 36. Let j be i(17). Let p be 2\/(-2) - (-3802)\/14. Let c = j + p. What is the third biggest value in -4\/7, c, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(405)*-1)**2 - (sqrt(5) + 0 + 5).\nAnswer: -sqrt(5) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -48.887 plus 0.012?\nAnswer: -48.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -8*b - 1. Let a be u(-1). Let v = a - 2. Suppose -4*y + 2*y + 13 = i, 5*y = v*i + 10. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15861066173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -602 = 8*k - 554. Let u(w) = -299*w + 659. Let x(z) = -147*z + 330. Let b(r) = k*u(r) + 11*x(r). Find the first derivative of b(o) wrt o.\nAnswer: 177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36131, -36132, -36133, -36134, -36135, -36136?\nAnswer: -36137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -894*u + 430*u + 461*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 - 6*a**2 + a - 1. Let r be o(-6). Let d = -4 - r. Suppose 2*z**4 - 2*z**2 + 4\/3*z - 14\/3*z**d + 0 + 10\/3*z**5 = 0. Calculate z.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/60)\/h**(-32))\/(h**(-1\/10)*h)**33 assuming h is positive.\nAnswer: h**(139\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 18 - 10. Let x = j + -7.6. Which is the nearest to 0? (a) -1\/3 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 80 = -3*t. Let u = 14 + t. Let q(s) = s**3 + 5*s**2 - 6*s + 4. Determine q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2067.84 + -0.9007.\nAnswer: 2066.9393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*a + 66 + 190 = 48 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -26\/1475977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.13 - -0.13. Let t = -9 - -39\/4. What is the closest to a in t, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24081018631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9.55 + -9.5499995156. What is j rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 6 - 12217a?\nAnswer: -122174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, b: 2, r: 1, w: 1, u: 2}. Give prob of sequence uwb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-610945)\/(-171) + 4*1\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) -175.6 (c) -139.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 50 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -f**2 - 4*f + 8 + 19 - f**2 + 156.\nAnswer: -2*f**2 - 4*f + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = -316*b + 321*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.04, 3\/250, 4, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -111051*c**2 + 567878*c wrt c.\nAnswer: -222102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22)\/6 + 5*16\/20.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12*u**3 + 10*u**4 + 125*u**4 - 5*u**2 - 7*u**4 - 249834*u + 249201*u wrt u.\nAnswer: 3072*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 4*l**2 - 8*l - 19. Determine j(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/o**3*o)*o**9)**12 assuming o is positive.\nAnswer: o**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 - 13*j**2 + 33*j + 43. Let u be r(-14). Suppose -225 = 5*h - 1975. Let c = u + h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 7*j + 22. Let p be q(1). Suppose -400898264 - 148361736 = p*i. Round i to the nearest one hundred thousand.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4149.67833 seconds in weeks?\nAnswer: 0.006861240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2858 > -2848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -3*s + 2. Let u be l(-2). Suppose 5*t - u = t. Does 5 divide -5*(5 - t)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*d + 6*d - 2*d)*(-4 + 4 + d**2)*(-3 - 2*d + 3 + (2 - 1 + 3)*(d - d + 2*d)) as q*d**3 + u*d + y*d**2 + i*d**4 + r and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -2112220121021 (base 3) to base 8\nAnswer: -5131133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.02 - -0.48. Let w = -2.2 - -2. Which is the third biggest value? (a) w (b) -3\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6128 or -6135?\nAnswer: -6128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -52, -3, -1\/2, -4, -1\/4?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - 48.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 82576617973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 156924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15 + 21. Let v(d) = -5*d**2 - d. Let m(p) = -p**2. Let w(s) = -26*m(s) + 6*v(s). Let k(l) = -3*l**2 - 5*l. Give g*k(q) - 5*w(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + g + 96 = 2*g, 5*t + 2*g = 92. What is the least common multiple of t and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 4) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (2*s**2 - 2*s**2 + s**2)*(32019 + 33*s - 5*s**2 - 32019) as q + z*s**3 + j*s**4 + u*s**2 + d*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 6 + -7 + 1 - -31.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 294148 - 294148 - 1588*y + (5 - 1 - 3)*(y - 1 + 1) + (-5*y - 3 + 3)*(-4 + 1 + 4) as o*y + x and give o.\nAnswer: -1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -192254.5312 to the nearest 100.\nAnswer: -192300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uouoougoouoooo. Give prob of sequence uog.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -5*u. Let b be (6\/8)\/(-6 - (-25)\/4). Sort u, b, -1 in ascending order.\nAnswer: -1, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -6*o - 8. Let t be c(-2). Is 4358*(1\/t)\/((-1)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/(-63))\/((-26130)\/7035)?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3662141 or 3662133?\nAnswer: 3662141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-30)\/(-25)*(-30)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41 + -134 + 83 + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12220 (base 3) in base 15?\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.02, 6, -4, -1\/3.\nAnswer: -4, -1\/3, 0.02, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 143 and 27586.\nAnswer: 303446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12*7\/14*(-77)\/(-42)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-224)\/42)\/(8\/12). Let r be (1 - 33\/(-4)) + 2\/d. Solve -3*g - 3 + r = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2990547411 to the power of 1\/2, to the nearest integer?\nAnswer: 54686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 divided by 305.\nAnswer: 16\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6 and 34820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {o: 2, e: 3, c: 7}?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/((-3952)\/(-5))*-4*21\/(-35)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00098454 rounded to 6 decimal places?\nAnswer: -0.000985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 49*z**3 + 45*z**3 + 10*z - 106*z**3 wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - (0 - -5) - -2) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 12446, 12445, 12444, 12443?\n\"Answer: -f + 12447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 69 - 68 + 0*i + 4*i. Let h(c) = -5*c - 2. Give 2*h(o) + 3*x(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -0.01, 5, 0.23, 2, 0.3 in ascending order.\nAnswer: -0.2, -0.01, 0.23, 0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, -12.43, 149?\nAnswer: -12.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -8.88, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 8:30 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2852212 times 0.4?\nAnswer: 1140884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 AM and 1:14 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10215 - 0.\nAnswer: -10215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that m**2\/5 + 17216*m\/5 + 74097664\/5 = 0.\nAnswer: -8608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m - 6. Let w(s) = -2*s - 11. Give -5*j(f) + 2*w(f).\nAnswer: f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/731538 and 89\/1219230.\nAnswer: 3657690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-30)\/(-135) + (-1030)\/18. Let a be (38\/t)\/(-1*(-1)\/(-6)). Is 19\/7 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8697104615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 10*i - 65. Suppose -1127 + 345 = -46*g. Does 5 divide v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 18 = 4*s, -s - 6 = -4*s. Suppose t*g + 42 = 48. Find the second derivative of -4*v - 9*v**3 + 4*v**3 + 8*v - 4*v**g wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -3*b**2 + 2*b - 5. Let f(u) = 3*u**2 - 11 + 0*u**2 + 17 + 20*u - 22*u. Give -5*f(n) - 6*q(n).\nAnswer: 3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110 + -1010110011111001010111110000?\nAnswer: -1010110011111001010111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (k**3 - 2*k**2 + 2*k**2 + (-4 - 2*k**2 + 4)*(-3*k + 2*k + 3*k))*(11 + 5 + 37) to the form q*k**2 + f*k**3 + x*k + d and give f.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3823 + -3763. What is the highest common divisor of 222 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 3. Let d be 11 + -13 + a*-1. Let n(s) = s + 2. Let t(u) be the second derivative of u**3\/6 + u**2 + u. Calculate d*n(k) + 4*t(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -4006, -7947, -11888, -15829?\n\"Answer: -3941*u - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes after 8:05 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3608457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + -13212?\nAnswer: -13212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-0.22.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 126856231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.13, -2\/7, 3, -4, -3.8.\nAnswer: -4, -3.8, -2.13, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -5 + (sqrt(17) - (sqrt(85)\/sqrt(5) - sqrt(17) - sqrt(17))*-4) - 5*(sqrt(34)\/sqrt(2) + sqrt(17))*-4*4.\nAnswer: -9 + 157*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -27*h**2 + 5. Let k(r) = 176*r**2 - 32. Suppose 4*l - 160 = 5*b, -32 = -41*b + 42*b - 2*l. Give b*y(z) - 5*k(z).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + 12226ac?\nAnswer: 12226ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 112 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 594975 is divided by 103.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5940\/(-1320)*((0 - 5) + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -2*h. Suppose 0 = -3*j + 80 - 71. Let b(g) be the second derivative of 0*g**2 + 7\/6*g**3 + 0 - j*g. Give q(b(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5\/(-35) - (-20)\/(-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -14\/5, 0.536, -5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 14*w**3 - 66*w**2 - 9*w + 1. Let k(r) = 13*r**3 - 69*r**2 - 8*r + 1. Give 8*b(o) - 9*k(o).\nAnswer: -5*o**3 + 93*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 59879677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120*v + 260294 = -57*v - 61*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/36*(-3)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 - 3*j**2 + j - 3. Let x be k(3). Let m = -26 + 20. Let h be ((-24)\/(-9))\/4*m\/(-2). Put h, x, 4 in increasing order.\nAnswer: x, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105415399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + f**4 - 3)*(3 - 4 + 3)*(-21 + 36 - 20).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**2 + 8. What is o(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3902, 3903, 3904?\nAnswer: 3905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6120 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 67 - -49. Let b = -72 + l. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 29 (base 11) to base 16\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -18 + 18.459. Let w = c + -0.458681. What is w rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 16\/(-4) - -207 - -1. Suppose 4*u - x - 19 = g, -g + 5 = 0. Suppose 0 = -62*h + u*h + 15. Solve h = -5*d + 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k - 1. Let i(h) = -3*h + 5. Let d(v) = -i(v) + 2*r(v). What is the units digit of d(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5652369.\nAnswer: 3, 209347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 101.907 + -102. What is x rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -72 and -4.43.\nAnswer: 318.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0125893 to 5 dps.\nAnswer: 0.01259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 190058149 divided by 5.\nAnswer: 190058149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 12*b. Let x(a) = -5*a - 6. What is x(g(m))?\nAnswer: -60*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 158\/18 + (-6)\/(-27). Suppose 12 = -q*p + 48. Suppose 0 = p*z + 16, 3*u = -u - 2*z. Solve -2*j + u - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w - 4. Let h = 6 - 14. What is the smallest common multiple of 56\/h*2*-1 and g(7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -r - 40. Let b be (6\/(-5))\/(6\/r). Which is bigger: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 171\/(-33) + (-10)\/(-55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(4*(sqrt(275) + sqrt(275)*-1)*-5 - (-2 + sqrt(11) + 5 - (0 + sqrt(44)))**2).\nAnswer: -80 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 78 - u**3 + 162226*u - 162224*u + 2*u**3 + u**2 - 2*u**4 to the form i + n*u**2 + k*u + c*u**3 + x*u**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7473 + -7476. Which is the biggest value? (a) 5 (b) -8\/55 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 170197450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -j - 66200, 0*v + 3*j + 165500 = 5*v. What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, t: 7, h: 2, w: 2, v: 2}. Give prob of sequence hhw.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of -s**7\/42 + s**6\/15 - 35*s**4\/12 - 16*s**3\/3 + s**2 + 879*s - 1. Find the second derivative of q(w) wrt w.\nAnswer: -20*w**3 + 24*w**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 w when three letters picked without replacement from {u: 2, h: 1, s: 5, l: 1, y: 10, w: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -17236, -138614, -468070, -1109644, -2167376, -3745306, -5947474, -8877920?\n\"Answer: -17340*x**3 + x**2 - x + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 - 64. Let f = a + 147\/2. Let r = -1.84 + -0.16. Put 1, -2\/13, f, r in ascending order.\nAnswer: r, -2\/13, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 3*a**2 - 2*a + 3. Let n be q(-3). Differentiate 104*r**4 - n*r**4 - 81 - 100*r**2 + 99*r**2 wrt r.\nAnswer: 272*r**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 510*t - 1107*t - 1142*t in the form p*t + v and give p.\nAnswer: -1739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 54 + -48. What is the greatest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 0*l + l + 1, 5*i = l + 7. Suppose -i*w = 4*t - 7*w - 834, 612 = 3*t + 3*w. Calculate the remainder when t\/6 + (-6)\/(-9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 18*u**3 - 13*u**3 - 3*u**2 - 8*u**3 + (2 + 3 - 4)*(-2*u**3 + 6*u**3 - 3*u**3) as m + b*u**2 + g*u**3 + k*u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -156*x**2 - 7*x - 11. Determine i(-2).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7971 - 17834 - 8822 + 7919)*(v**5 + 0*v**5 + 0*v**5).\nAnswer: -26708*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 9:31 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -14 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 17.1 - 17. What is the closest to 2\/9 in -3\/2, h, 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + -4 + 11 - (0 + (-4 + 4 - 25)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 + 6 = -3*s. Suppose 0 = -2*t + 3*b - s*b + 23002, 0 = 5*t + 3*b - 57506. Round t to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - 2. Which is the nearest to 1? (a) 2\/13 (b) -0.08 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 795 = -21*j + 18*j. Let h be ((-159)\/j)\/(-1 - 14\/(-10)). Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*(y*y**(-2))\/y)\/y**(-5)*(y\/(y\/y**(-6)*y))\/y**(-1\/5))\/((y**(-7)\/y)\/y**(-4)*(y\/(y\/y**1)*y)\/(y*y\/(y*y**(-6)))) assuming y is positive.\nAnswer: y**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -259754 + 259731 = -2*m + 3*g, 0 = -3*m - 18*g + 12 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 628 is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the third derivative of u**5\/60 - 7*u**4\/24 - 2*u**3\/3 - 175*u**2. Determine p(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is h in 4\/5*h**3 + 0*h**2 + 0 + 0*h + 8\/5*h**5 - 18\/5*h**4 = 0?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76646 plus 3.2?\nAnswer: 76649.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2237184.439*0.5.\nAnswer: -1118592.2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (-2*(sqrt(363) + 1*sqrt(363) + sqrt(363)) - sqrt(363) - -1*(-1 + sqrt(363))))**2.\nAnswer: 528*sqrt(3) + 13084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q + 77 = -18*q. Let g(a) = 14*a**2 + 16*a + 26. Is 12 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, 3, 75579 in decreasing order.\nAnswer: 75579, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1101111021 - -12?\nAnswer: -1101111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*h**2 + 5*h**2 + 11 + 13*h**2.\nAnswer: -23*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(9) + -1*sqrt(9))*-2 + sqrt(9))*-3)\/(-6*(sqrt(48) + sqrt(144)\/sqrt(3))).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes after 11:33 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w, 1 v, and 1 r when four letters picked without replacement from rhvchrhwvhvhrwrevhw?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -163210 to the nearest 1000.\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - 69921046944.\nAnswer: -69921046947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 6:54 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_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: Let i = 4 - 7. What is the units digit of 3 - (i - 2) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 - 3 + 79*h + 2*h**2 - 85*h - h**2 = 0 for h.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 115 - 105. Suppose -66*o = -68*o + s. Solve 13 = o*m - 4*v, -5*m - 1 = -5*v - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 8363*m + 7. Let q(x) = -x**3 + 4*x**2 + 3*x - 3. Let a be (3\/(-9))\/(5\/(-30)). Let i be q(a). Let w be l(i). Round w to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2. Let r(z) be the second derivative of 2*z**3\/3 + 13*z**2 + 169*z. Give i(r(k)).\nAnswer: 16*k**2 + 208*k + 676","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let m = 16707.53 + 1061.37. What is m rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20378\/11*a**2 + 6984*a - 75272\/11 + 36*a**3 - 2\/11*a**4 = 0.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 8:56 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 29 + -7. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-88 - 23) + 57 + (8 - 0 - 4).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2\/159 (c) -3 (d) -31 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 289794.\nAnswer: 2, 3, 48299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 843 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-2 + -8 + 27 - (1 - -5)) + 1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 16762247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 496 + 482 - 16*l**2 + 2*l**3 - 941 as u*l + d + n*l**2 + a*l**3 and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 156, 307, 432, 519, 556, 531?\n\"Answer: -2*k**3 - k**2 + 168*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -16 - 5) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**0*t)\/t)**16*(t**6)**(-9) assuming t is positive.\nAnswer: t**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1175 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, c: 8, m: 1, x: 1, z: 1, h: 2}. What is prob of picking 1 x and 3 c?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2356805?\nAnswer: 5, 11, 73, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (40\/189 - (-152)\/2052) + (-26)\/84?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((2 - 0) + -5)*(-18)\/(-54). Calculate the remainder when (-2 + w)*(-21 - -4) is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 32 = -2*r. Let z = 65 - r. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v + 136*v - 122 = 926 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3537.711 millennia to decades.\nAnswer: 353771.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 19*l - 128. What is the remainder when 81 is divided by h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1335, 2664, 3993, 5322, 6651, 7980?\nAnswer: 9309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8532 + -5226. Suppose 3*p + 2*z - m = 0, 0 = p + 4*z - 9*z - 1085. Suppose -2*b = -13*b + p. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rorrorrrrrororor. What is prob of sequence oo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -156 or -153?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-4)*g\/(g\/(g**(-13)\/g)*g))\/(g**3*g)**(-5) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 351 and 6981.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the second derivative of u**3\/3 + 38069*u. Let o(d) = d + 2. Let n(a) = 3. Let z(w) = -2*n(w) + 3*o(w). Calculate -13*r(q) + 6*z(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 270 divided by 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (26 - 15) + -4 - -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vc when two letters picked without replacement from {j: 1, v: 2, o: 2, t: 4, c: 2, m: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9824, 39158, 87856, 155762, 242720, 348574?\nAnswer: 473168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 140, 36, -80, -214, -372, -560, -784?\n\"Answer: -o**3 - 97*o + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2*w - 1 + 2 = 0, 4*w - 3 = 5*v. Let m = -2.97 + -0.03. Is m bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-1\/7)\/l**(-1\/8)*(l**(1\/4)*l)\/l*l**(-1\/4)\/l*(l\/(l**(4\/3)\/l))\/(l*l\/l**(-5))*(l\/((l\/l**6)\/l))\/((l**(-1\/16)*l)\/l*l) assuming l is positive.\nAnswer: l**(-433\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.18? (a) -3 (b) 1 (c) 2\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 412*o**6 - o**5 - 2261*o**2.\nAnswer: 49440*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**3 + 2*c**2 + 2. Let o be v(-2). Suppose -4*k + 7*b - 2*b = -164, 0 = o*k + 2*b - 82. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*b**2*p*x**3 - 38*b**2*p + 3*b*p*x**3 + b*p*x - 2*b*x**2 + 15*x wrt b?\nAnswer: 24*p*x**3 - 76*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2. Let t(x) be the first derivative of 11*x**5\/60 + 7*x**3\/3 + 20. Let l(q) be the third derivative of t(q). Determine l(k(y)).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + p = 58, -3*q + 4*q + 2*p + 16 = 0. Is -40\/3 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -4*y + 4. Let h be j(0). Let f(p) = 13*p - 4. Let z(c) = 12*c - 3. Let g(d) = -4*f(d) + 5*z(d). Let t(i) = -7*i - 1. Determine h*t(x) + 3*g(x).\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by -23\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 3*n - 4*a, 2*n - 57*a + 61*a - 2 = -18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 187938608 and 4576.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -49 - -54.76. Let o = n + -0.01. What is o rounded to one dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -5\/3 (c) 1\/4 (d) 5\/289\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1\/2)\/(1\/6). Let w be 4560\/(-216) + (-1)\/(-9). Let g be 15\/(-27)*w*l. Calculate the greatest common factor of g and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 6 + 4)*(0*l + 0*l + 2 - l) to the form d + v*l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 139855 and 2230940.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 6*w**2 + 6*w - 7. Let b be x(-7). Suppose r - 17 = -r - 3*z, -5*r + z = 0. Solve b = -3*o + 5 + r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1819043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -u = s + 117 - 120, -u + 12 = 4*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/5)\/(6\/180). Let s be 45\/y + 3\/(-4). Solve -s - 2 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 305 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 + 4*57\/(-6). Let b = -36 - g. Find the second derivative of b - 44*t**3 + 0 - 13*t + 58*t**3 wrt t.\nAnswer: 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.03 - 0.23. Let z = -0.01 + -0.1. Let a = 4.89 - z. Put 2\/5, x, a in decreasing order.\nAnswer: a, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, -5, -75, 4, -520, 6\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 32736 and 2728.\nAnswer: 32736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2541 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the third derivative of -61\/70*u**7 - 145\/6*u**3 + 0*u**6 - 34 + 0*u**4 + 0*u + 0*u**5 + 2*u**2. What is the derivative of q(i) wrt i?\nAnswer: -732*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*g - 7*g + 11*g)*(1 - 2 + 6) + (2*g - 6*g + 2*g)*(-2 + 0 + 8)*(-1 - 4 + 4).\nAnswer: 82*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1475*t**3 - 7824*t**3 - 1529*t**3.\nAnswer: -10828*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*o + 0*o + o**3 + (4*o - 6*o + 3*o)*(0*o**2 + 3*o**2 - o**2) + o**3 - 2*o**3 - o**3 + 2*o**3 - o**3 - 2*o**3 + (-2 + 4*o**2 + 2)*(-o + o + o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 11*h**2 - 4*h - 1. Let a(v) = 11*v**2 - 5*v - 1. Let l(q) = -3*a(q) + 4*u(q). List the prime factors of l(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 20 = 4*o, 0 = 2*a + 5*o - o - 20. Let m(i) = -11*i - 358. Let f be m(-33). Suppose f*t - 10*t + 170 = a. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -2*w - 13, -33*m + 1 = -32*m + w. Solve 2*g + k + 7 = -4, m*k + 13 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - (23 + -25) - (6 - 50).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 692\/6*(1485\/(-6))\/(-11). What is the greatest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + j**2 + 6*j + 15. What is u(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n**2 + 5*n**4 - 5*n**4 - 1 + 2*n**3 + 2 + 2*n - 2*n**4 to the form y + m*n**2 + o*n + b*n**4 + a*n**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 32.6 + -56. Let w = 15.75 + o. Round w to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 12:00 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 60 and 8?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 + 2*w**2 + 2*w + 9. What is t(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-9)*1\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -29*b + 3. Let k be l(-1). Suppose 0 = m + 29 - k. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -424728.386 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 1690377*d**2 + 5219465*d**2 + 15048*d + 8 + 166480*d**2.\nAnswer: 2*(1881*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*v**4 - v**3 - 358*v**2 - 1256*v - 15131791 wrt v.\nAnswer: 8*v**3 - 3*v**2 - 716*v - 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -33 - 4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w + 1. Let x(h) = 1. Let g(n) = 3*n - 29. Let r be g(10). What is r*c(f) + x(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (30*r - 233*r - 338*r)*(r + r - 4*r) to the form t*r**2 + d*r + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + 395d?\nAnswer: 3963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -456 - -456.0357. Let x = u - -0.9713. Let m = x + -1. What is m rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -67*i - 30. Let n(j) = -669*j - 315. Let r(x) = -2*n(x) + 21*z(x). Let b(c) = 2*c**2 - 18. Calculate b(r(s)).\nAnswer: 9522*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -1, -12018, 2 in descending order.\nAnswer: 13, 2, -1, -12018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 7:52 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -2*u**3 - 3*u**2 + 1. Let w(l) be the first derivative of 5*l**4\/4 + 7*l**3\/3 - 3*l + 2267. Give -7*p(d) - 3*w(d).\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2204 and 408?\nAnswer: 224808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 2192197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 589 and 217417?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 5 - 4)*((-2*c - 2 + 2)*(-2*c + 2*c - c**2) + 0*c**2 + 0*c**2 + 3*c**3).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.2 + -0.3. Let r = -8 + 8.7. Let q be 8547\/(-1848) - (-6)\/(-16). What is the fourth smallest value in v, -2, q, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 84638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/(-12)*3\/(-2)*-4. Suppose a + g*k = 0, 4*a - 4*k + 3*k = 27. What is the least common multiple of 26 and a?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1131 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v = -2*v - 16. Let g(d) = -d**2 - 3*d - 2. Let p be g(v). Let w(t) = t**2 + 1. Let k be w(1). Solve k*f = -p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -4 - 4 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 762 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-19)\/3 + (-5)\/(-15). Let j be (-4)\/x - (-236)\/6. Let r be 2\/6 + j\/15. Solve -h - r*h = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17023321.\nAnswer: 7, 853, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u. Let m(v) = 98621*v**2 - 9*v. What is m(p(a))?\nAnswer: 98621*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19 - 19 - 15*b + 8*b - 3*b + 2*b + (b + 0*b + 0*b)*(-5 + 0 + 4) to h*b + v and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 51*w**2 + 18*w - 7. Is d(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*m - 29*m = 0. Let j be (m\/(-4))\/1*-1. Solve j = -3*h - h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -354.90192 to one dp.\nAnswer: -354.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.39213 minus -1?\nAnswer: 0.60787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -28.514475 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -35832*n**6 + 71*n**2 - 23*n - 2.\nAnswer: -4299840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 12*4\/30*(-65)\/(-78)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 212198 is divided by 26515.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1020336, -2040713, -3061088, -4081461, -5101832?\n\"Answer: c**2 - 1020380*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4432196623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes after 9:22 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*b = 8*b + 385. What is the remainder when b is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -164*z + 21 = -185*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbbucbbcbbuu. Give prob of sequence ubb.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o**3 + 5*o**2 - 116*o + 10. Determine i(-7).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 50*i**2. Let p(n) = 41*n**2 + 32*n**2 - 71*n**2. Calculate p(c(k)).\nAnswer: 5000*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -245180376 by -2163.\nAnswer: 113352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 30 = 4*x. Let h be ((-2)\/4)\/((-5)\/x). Let q = -2\/7 + 0. Which is greater: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*n = 5*p - 135, -66*p = -70*p + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 11 = 3*a - 0*y, 4*y - 4 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4c2927 (base 15) to base 3\nAnswer: -20212122002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1944779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 129513 greater than or equal to 129506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 6 - 13*p - 9*p + 38*p - 7*p - 14*p.\nAnswer: -5*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -673, -674, -675?\n\"Answer: -g - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4454\/(-476))\/(-131)*-2*14\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2547?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 523296138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27868 is divided by 9114.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 33 (base 5) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = 16, 0*t - t + z = -24. What is the units digit of (t\/(-8))\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = -5*r - 33, 11*r - 2*s + 3 = 12*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*n = 3*n - a - 2*a - 57, -4*n + 20*a = -92 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17 - 17.2. Let i = 100.49 - 101. Let a = 0.11 + i. What is the closest to o in 2\/3, 4\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-20)\/(-8) - (-1)\/(-2). Let v(a) = 5*a**2 - 9 + q + 7. Let u(t) = -2*t**2. Give u(v(n)).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be -4 - ((-52)\/(-4) - 0). Which is greater: b or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 95 and 9.3.\nAnswer: 883.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + m = 9, 5*m = y - 0*m - 21. Let f(s) = -s**3 + 15*s**2 - 40*s + 48. Suppose -111 = -15*c + 69. Let b be f(c). Solve b = 2*z - y - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -2*r - 214 + 425 - 213. What is the least common multiple of 10 and p(-15)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1641586042?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/(-85)*(-595)\/(-70).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 48864432 + -12?\nAnswer: 48864420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 135 and 9855.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 48114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 1.8 (c) 8 (d) -1 (e) 0.835\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(126) + sqrt(126)*1)\/sqrt(3)*-6*-4)\/(-1*sqrt(6)*-2 + (sqrt(66) - sqrt(66)*-3)\/sqrt(11)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 702286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**3 - c**2 - 1. Calculate m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = q + 12. Let d = -280 + 279. What is the second smallest value in q, d, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/b**(23\/5)))\/b**8*b*b**(-1\/44)*b\/(b*b**26))**(-16) assuming b is positive.\nAnswer: b**(25012\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/3276 and 52\/63.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find g such that g**3\/4 - 25*g**2\/4 - 113*g\/4 - 87\/4 = 0.\nAnswer: -3, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2.28 times 0.5\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**2. Let x(s) = 3*s - 6. Suppose -5*m - 12 = -2*m, 0 = 3*l + 2*m + 26. Let r(n) = -3*n + 5. Let h(w) = l*r(w) - 5*x(w). Give h(p(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1344 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 196.7 + -197. Which is the closest to s? (a) 1\/7 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -5, -4, 4 in increasing order.\nAnswer: -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1860696 is divided by 61?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -57 by 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 8439622 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: Let r(s) = s**3 + 31*s**2 + 95*s + 20. Calculate r(-28).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.08 - -3.08. Let u = -9.3 - -9. Let z = -1.6 - -1.5. Which is the closest to z? (a) -5\/4 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/9 - (-6092)\/36. Let t(j) = 6*j - 194 + 20*j + f - 7*j - j**2. Determine t(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1218 equal to -7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2*l**3 + 36 - 58*l**2 + 107 + 57*l**2 as q*l + h*l**3 + x*l**2 + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*b - 3*l + 130 = 0, -5*b + l + 5 = 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 680294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1415, 1413, 1411, 1409?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 924 + 2665 = 37*l. Calculate the remainder when 475 is divided by l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xskvsxsskxx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 252, -1\/2, 4, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 10363113 at least as big as 10363109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -72802 - -0.4?\nAnswer: -72801.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 3, 0.127, -4, -0.5 in decreasing order.\nAnswer: 3, 0.127, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0 + -2 - (312 + -336). Solve d*x = 73*x - 102 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -f + 5*d, -3*d + 15 = 5*f - 4*d. Let x be 3\/f + (-1141)\/2. Let c = x - -189. Round c to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19442693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-23)\/(-2))\/(-1)*-8. Let w = 12085 - 12079. What is the tens digit of (1*t\/(-2))\/(w\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -414.00000253 - -414. What is r rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1706.6 - -153.6. Let v = z - -1559.87. What is v rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3 - -1) + (108 - 1). Let o = -47 + k. Factor 58*u**2 - 4*u - 5*u + 3*u**3 - o*u**2.\nAnswer: 3*u*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/(((-45)\/6)\/5). Let x = y - -5. Let m = 25 - 24.6. Which is the smallest value? (a) x (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -4*(sqrt(63) + -2) + sqrt(63)*1 + 5 + sqrt(63).\nAnswer: -6*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:45 AM and 10:27 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-32)\/112 + 3\/7)*14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -112, -715, -1720, -3127, -4936?\n\"Answer: -201*v**2 + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 244.816 + 0.184. Let m = -226.6 + d. What is m rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of 5*v**4 + 112*v**3 + 768*v**2 + 1024*v - 2143. Find f such that w(f) = 0.\nAnswer: -8, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of u**4 + 16*u**3 + 3449*u**2 - 3*u + 409373 wrt u?\nAnswer: 4*u**3 + 48*u**2 + 6898*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrjo when four letters picked without replacement from {r: 4, o: 3, j: 9}.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 36, 49, 70, 105, 160, 241?\n\"Answer: g**3 - 2*g**2 + 12*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 - 8. Suppose 5*f - 584 = -c*r + 740, 5*r - f = 1655. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(3*(-2 + sqrt(2) + 0 + 3 + -2*sqrt(8)\/sqrt(4)))**2.\nAnswer: -162 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 69504.1 to the nearest one thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -108, 488, 1094, 1710, 2336?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 18*u - 37. Give c(7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 257568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 5, y: 3, e: 7, z: 1}. What is prob of sequence zjj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (14*g**3 + 3*g**3 - 3*g**3)*(-1 - 5 + 3)*(-10*g - 7*g + 0*g) as h*g + u*g**3 + a*g**2 + x*g**4 + n and give x.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*q - 3*q + 3*q - q + 0*q + 2*q + (-3*q - 3*q + q)*(-1 + 1 - 2))*(-q - 4*q + 4*q) - 3*q**2 + 2*q**2 + 2*q**2 to k + d*q + b*q**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 0*w = -3*w + 9, 0 = 19*l + 3*w - 51 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 100423 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((2\/28)\/(34\/408))\/((-308)\/(-3234))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 17*h + 0*h + 12*h to m*h + y and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.7 + -2. Let w = 0.4 + -0.6. Let f = w + 5.2. What is the second smallest value in -1\/2, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p = -3*p - 9. Let d = -43 - -46. Let n(j) = 0*j - j**d + j + 4*j + 98 - 100. Let c(a) = -a. Calculate p*c(o) - n(o).\nAnswer: o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-15) - 55\/15)\/(15 + -10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1361045*d**2*p**6 - 30628*d**2*p - p**2 wrt p?\nAnswer: 163325400*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2133621, -2133627, -2133633, -2133639, -2133645?\nAnswer: -2133651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of 36*r**3 + 34*r - 26*r**3 + 27*r**2 - 27*r**3. What is the derivative of i(a) wrt a?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 10*g**2 - 2*g**2 - 2*g**2 - g**2. Let f(p) = -2*p**2 - 12*p + 12. Let k(d) = -d + 1. Let o(i) = f(i) - 12*k(i). Calculate o(l(s)).\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33600 is divided by 1400.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -202*v - 219*v + 59*v - 65*v in the form s + p*v and give p.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m**3 - 45*m**2 - 3694*m + 4680 = 0 for m.\nAnswer: -26, 5\/4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 12:02 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19.2 - -68.8. Let d = a + -87.9. What is the smallest value in -2\/61, -4, d, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the first derivative of -3\/4*c**4 - 3\/2*c**2 - 2 + 0*c**3 + 0*c. Find the second derivative of p(o) wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -20*c**3 + 8*c**2 + c - 2. Calculate o(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1983206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 7827*t + 120369 = 2964 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 81 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + (-25 - -34 - 29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1597791375 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 - 5*n + 7. Let l(d) = -d + 1. Let u(o) = -c(o) + 6*l(o). Let w(f) = -7*f**2 + 2*f + 3. Give 5*u(s) + w(s).\nAnswer: -2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g - 7. Let o be u(-9). Solve 0 = -o*p + 2 - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - (-2 + 0)) + 0 + -3 - (-46 - -45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11946202 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + r + 5)*(-3 + 61 - 10 + (3 - 2 - 3)*(-1 - 2 + 1)) in the form n*r + t and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - i + 3. Let t(k) = -18*k**2 + 111*k - 12. Let s be t(6). Calculate v(s).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 - 2*y - 7. Let b(t) = 2*t**2 + 9*t. Let g be b(-5). Give h(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 1\/7, 5, 4\/5, 99 in descending order.\nAnswer: 99, 5, 4\/5, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1 minus -0.0784037313374?\nAnswer: -0.9215962686626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 238640 is divided by 124.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 7*j**3 + 1567*j**2 + 1343*j + 1206. Give u(-223).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) 1 (c) 4\/3 (d) 15367 (e) 0.2 (f) -4 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-57))\/(100\/(-18800)) + 10 - 402\/209.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 18 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -13 (b) 33 (c) -2\/11 (d) 2\/3 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1756022 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -2*j**3 - 4*j**2 + 5*j - 6. Let n(k) = 2*k**3 + 5*k**2 - 6*k + 7. What is -5*n(v) - 6*t(v)?\nAnswer: 2*v**3 - v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 4 - g**3 - 2 - 95*g + 0 as r*g**3 + u*g + n + a*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2172*h - 1096*h = 1093*h + 119 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*2*sqrt(288) + sqrt(288) + 5)*-6.\nAnswer: -648*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in -0.25, 371, 0.19, 3, -4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -5*m**2 + 10440*m - 2241675 = 0.\nAnswer: 243, 1845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a - 1. Suppose -14*i + 22 = 8. Suppose w = -3*w - 4. Let d(p) = -395 - p**2 - 394 + 788 - p. Calculate i*d(r) + w*l(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -2*r + 4*r. Let v = -4 + r. Factor 9*g**2 - 3*g**v + 8*g + 4 - 4*g**2 + 4*g**3.\nAnswer: (g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 48a0 + 2?\nAnswer: 48a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -204129768 divided by -51032442.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wffw when four letters picked without replacement from wfwf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -85 (base 14) to base 11\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -53 - -55. Suppose 0 = -d - u + 14. Calculate the lowest common multiple of d and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**3 - 11901*m**2 - 11820648*m - 35354916.\nAnswer: -3*(m + 3)*(m + 1982)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -3*z - 23, -3*r = 3*z - 0*z + 27. Calculate the common denominator of -103\/20 and r\/(-10)*3425\/120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 628271547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2 < -42\/781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 182 - 177. Which is the nearest to -2? (a) 0.07 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 343744955*s**3 + 96*s**2 - 1633 wrt s?\nAnswer: 2062469730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -41*m**2 - 9*m - 299. Let y(a) = 64*a**2 + 15*a + 449. Determine 8*q(c) + 5*y(c).\nAnswer: -8*c**2 + 3*c - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -268919, -268918, -268917, -268916?\n\"Answer: v - 268920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7.9 + 8. Let l be 1 + 3*4\/6. What is the second biggest value in l, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) - (5 + -2*sqrt(7))) + -4.\nAnswer: -9 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.07334 - 0.075. Round y to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 2*w + 2 = 0, -5*c + 34 = 3*w + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 53 - 369\/7. Suppose -15 = 2*q - 23, 4*z - q = -8. Is z equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 71949732*j**4 + 81150688*j + 1.\nAnswer: 863396784*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 48 - 30. Let z be q\/(-24)*(-11)\/(-3). Is z smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.226 - -0.074. Let x be -4 - 1\/(21\/(-75)). Let b = x + -1\/63. Put t, -4, b, 1\/2 in increasing order.\nAnswer: -4, b, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(147)\/sqrt(252))\/(4*sqrt(12)).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2153*t + 4155*t + 63 - 2091*t.\nAnswer: -89*t + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 5 less than -152268460731?\nAnswer: -152268460736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41128, 41124, 41120, 41116, 41112, 41108?\nAnswer: 41104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 203*u - 15 + 65 = 253*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10, 0.4, 2, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -7\/2, -2\/61, 3, 5, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -540*u - 3239. Determine m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/15, 5, -2\/111, 2 in descending order.\nAnswer: 5, 2, 2\/15, -2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -3*o + 61. Solve 2*n + 13 = -5*i, 5*n - 2*i = -3 + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1910 + -1893. Solve -5*o - 4*z + 21 = 0, -5*o + r = -0*o + 3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*g**3 - 44818 - g + 22389 + 22320 in the form m*g + k*g**3 + h*g**2 + n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that -3*u**2\/8 - 272949*u\/8 - 1330056 = 0.\nAnswer: -90944, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 6 - 12 = 0. Suppose 14*z - k*z = -35. Suppose -3 = -5*q + 4*q. Put z, q, 0 in descending order.\nAnswer: q, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (6 - 2) + (37 - 45)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5180 divided by 37?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = -3*s + 55. What is the derivative of -439 - c**2 + 12*c**2 + 9*c**2 + 137 + 15*c**s wrt c?\nAnswer: 70*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 346972.\nAnswer: 2, 86743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f = -10 - 44. Let d(w) = 2*w - 7. What is d(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1662*t + 1659*t - 5*b = -120, 0 = 4*t - 22*b + 614 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 50 and 215990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 129 = -87. Let z(o) = -o**2 - 8*o - 5. Let y be z(-7). Suppose -t + b = y*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -15*s + 11. Calculate v(-6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*m - 5*s = -33*m - 17, 2*s = 5*m + 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -60*d - 17*d**2 + 30*d**3 - 900 + 150*d**2 + 82*d**2 - 9*d**4 + 4*d**4 = 0.\nAnswer: -3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3152*u**3 + u + 6756 wrt u?\nAnswer: -18912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**3 + 5*p**2 - 9*p + 12. What is i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 20077, 80323, 180739, 321325?\n\"Answer: 20085*u**2 - 9*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1219\/11 + -111. Let y = -2.8 - -3.8. Is v <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 2*x = -16, 0 = -v - 2*v - 2*x - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/(960\/50)*3\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d**(9\/5)*d)*d)\/d)\/((d*(d**(-14)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -135477*k. Let l(t) = 174*t**2. Give o(l(c)).\nAnswer: -23572998*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x - 42 - 8 = -10*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8\/14 - (-296)\/(-28). Let x be ((-11)\/(220\/8))\/(-2 - -3). Sort c, 0, 4\/7, x in decreasing order.\nAnswer: 4\/7, 0, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586476 divided by -198?\nAnswer: -2962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4a + -167216?\nAnswer: -167177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 59208633 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 554, 1109, 1664, 2219?\nAnswer: 2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -2, 9, 0.036?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*a + 2763*a**3 + 2759*a**3 - 5523*a**3.\nAnswer: -a**3 - 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -8*u + 5. Let o(j) = -7*j + 4. Let i(s) = -s**3 - 7*s**2 - 8*s - 12. Let w be i(-6). Suppose w = 27*v + 26 - 188. Give v*o(l) - 5*z(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, j: 10, p: 3, i: 3}. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -2027675700 rounded to the nearest one hundred thousand?\nAnswer: -2027700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -123*h**2 + 115*h + 453. Let q(d) = 46*d**2 - 39*d - 151. Let j(y) = 3*b(y) + 8*q(y). What is j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 6, h: 1, e: 1, y: 1}. What is prob of sequence zeh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of 11*o**4\/6 - 4093*o. Let x(h) be the third derivative of -h**5\/20 + h**2. Calculate x(j(f)).\nAnswer: -1452*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 2500 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 547 - -3085. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by 16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4\/7, 7\/5, -2\/7, -0.1, 2\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -5*c - 26. Let z be p(-6). Suppose 11720 = 4*m + z*j, -3*j - j = -12. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -23343482 at least -23343483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -151, 4, 99, -1, -5, 0.\nAnswer: -151, -5, -1, 0, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(91) + (sqrt(91) + 3*-1*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91)))\/(sqrt(35)\/(sqrt(10)\/sqrt(2)*6 - sqrt(5)))*3)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: 7 + 4 + -4 + 7 - 3 - -4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 9 (b) 6374 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 31 + -19. Suppose 2*o = 5*c + 6*o - 34, -2*o + 20 = 3*c. Let i be c\/1 - (6 + -2). Solve -i*v - 2*v = -l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25850753?\nAnswer: 37, 698669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -v**5\/8 + 433*v**4\/8 + 3571*v**3\/8 - 19021*v**2\/8 + 12801*v\/4 - 1323 = 0. Calculate v.\nAnswer: -12, 1, 2, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 241*p - 274*p + 0*p**2 + 173*p - p**2 - 190*p**6 wrt p?\nAnswer: -22800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71\/8 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 - 5. Suppose o*t = 2*t + 11295. Suppose 7605 = 4*v + 5*f, -2*v + 5*f + t = -0*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-6) + (4 - 2\/6*4). Let x = 16 - 14. Sort -5, x, n, 5.\nAnswer: -5, x, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 113 - 109. Let h = 17 - 16. Which is the third biggest value? (a) z (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12607119 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*d**6*r**2 - 79167*d**6 - d**2*r + 21*d*r - 180*d + r**2 - 2 wrt d?\nAnswer: 480*d**3*r**2 - 9500040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a6 + -3502?\nAnswer: -3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -1440*m + 1176457. Determine j(817).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve o**3\/3 - 3094*o**2\/3 - 876071*o\/3 - 19811680 = 0 for o.\nAnswer: -133, 3360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 0*w - 2 + w - 2 + 19. Let g be m(-11). Suppose -5*b - 2*v = -2, -2*b - v = -6*v + 5. Solve g*o - o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20006 = 5*r - 11919. Suppose -4*v - 2*b + 3*b + r = 0, -5*b + 7950 = 5*v. Suppose -10*i = -5*i - v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/338896 and -7\/100652112.\nAnswer: 100652112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = -36 - -64. Suppose -5*j + 35 = 3*r, 3*r + 9 - 2 = j. Calculate the greatest common divisor of j and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(114)*-3 - sqrt(114)) - (-1*sqrt(114)*5 + sqrt(114)))\/(1*sqrt(384)*1*-2).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13 in 2\/11, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 73*q**2 - 4*q - 20. Let r be x(-10). Let h = -11190 + r. Round h to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = 5 + 7. Let x = i - -7. Which is smaller: 10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -8 + 4*l + 8 + (-l + 2*l - 3*l)*(20 - 12 + 11) + (6 - 4 - 1)*(-2*l - 3 + 3).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.004 and -7487.18668?\nAnswer: 7487.19068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3704*w - 204 = -3670*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21\/(-154)*2*(1131\/29)\/(-39)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of -i**8\/5600 + i**7\/1260 - i**6\/900 + i**4\/4 - 12*i. Let q(b) be the third derivative of j(b). Solve q(o) = 0 for o.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -11 - -78. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1 - 3.1. What is the second smallest value in -0.1, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0.3, 322 in increasing order.\nAnswer: -1, 0.3, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 157b (base 14) in base 5?\nAnswer: 110313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -361249.83131 - -361248. Let f = -1.84 - b. What is f rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/2*2\/1. Let r be (j - -3)\/(12\/18). Let m be 4\/r + 6004\/(-6). What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/90*-2*3*-1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 148, 297, 446?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 - -9. Suppose -2*h = 4*r - 2, 0 = -3*r - 4*h + 5*h - 6. Is (r\/1)\/(m\/4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 5:12 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(3\/4)*(z*z**(-13))\/z)\/((z*z**(-1))\/(z**0\/z)) assuming z is positive.\nAnswer: z**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 7 = 3*l, 2*l + 10 = -5*m - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 1)*(5*g + 0*g - 4*g) + 4*g - 3*g + 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (7 - (3 - -6)) + 2 + 2 + -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1084 - -1120. Calculate the greatest common factor of 1332 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from thhfhyftht.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/21 and -12\/11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of -5*b**5\/4 + 143*b**4\/12 + 18*b + 1. What is the third derivative of s(y) wrt y?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.446432 litres in millilitres?\nAnswer: 6446.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16008830?\nAnswer: 2, 5, 19, 109, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r*r\/(r*r\/(r*r**(3\/4)\/r))*r*r*r)*r**(3\/10)*r)\/(r**0)**49 assuming r is positive.\nAnswer: r**(-29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 86916 or 45?\nAnswer: 86916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1001, -1839, -2699, -3593, -4533?\nAnswer: -5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k = 3*k - 15, 4*k + 139 = -4*n - 0*k + 75 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -2*a**2 - 53*a - 14. Let m be o(-26). Let c = 18 - m. Solve 3*z = -h + c, -5*z = 3*h - 0*h - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p. Let o be l(-2). Suppose -b + o*r = -r + 10, r = 4*b - 4. What is the units digit of b\/(1 - 0) - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**0\/u)**(-9)*u**(2\/13)*u**(-7))**(10\/3) assuming u is positive.\nAnswer: u**(280\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3, -2.3, -2.1531?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 97959, 195970, 293981, 391992, 490003, 588014?\nAnswer: 686025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 444 + -422. Sort -2, 2, -4, t.\nAnswer: -4, -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 2, n: 3, t: 1, g: 1, a: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 11800.245809 rounded to zero dps?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(60) - (sqrt(60) - (sqrt(60) + (sqrt(120)*2)\/sqrt(2))))\/(sqrt(4)*-2*3))\/(3*sqrt(30)\/((sqrt(66) - sqrt(66)*2)\/sqrt(11))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/1)\/(6\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 12 - (-1*(3 + -4))\/1. Suppose -9*o + y = 2. Solve o = -4*m + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 256987.4 hours?\nAnswer: 925154640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*m**3 + 13*m**3 + 57*m**3 - 23*m**3.\nAnswer: 105*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -476, -483, -490, -497, -504, -511?\n\"Answer: -7*f - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.2 in -3, -0.4, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2\/5 - 319688*s\/5 + 25550104336\/5.\nAnswer: (s - 159844)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -8*t**5 - t**4 + 73*t**3 - 114*t**2 + 9*t + 9. Let v(n) = -2*n**5 + 18*n**3 - 28*n**2 + 2*n + 2. Let q(g) = -4*o(g) + 18*v(g). Factor q(i).\nAnswer: -4*i**2*(i - 2)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1781051 = 136*i - 90853. What are the prime factors of i?\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h**3 + 1444321*h**2 + 521452954120*h - 45377339732592 = 0. Calculate h.\nAnswer: -722204, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -79865*x**2 - 702225.\nAnswer: -159730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 15409, 15404, 15403, 15406, 15413, 15424?\n\"Answer: 2*t**2 - 11*t + 15418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -5*a, 4*i = 3*i - 3*a + 4. Let q be 1\/((-1)\/(0 - -1)). Is i at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h + 5*o + 98 = -99, -361 = 93*h + 5*o + 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -24161.71 to the nearest one hundred.\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**2 + 2*m. Suppose -5*u - 113 + 8 = 0. Let o be -3*(-3 + u\/(-9)). Let t be y(o). Put 4, 3, t in ascending order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**3 + 5*h**2 - 8*h + 4. Suppose 9*a = 37 - 28. Let n(b) be the third derivative of -b**5\/60 + b**4\/24 - b**3\/6 + 12*b**2. What is a*v(w) + 4*n(w)?\nAnswer: -w**3 + w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 10*o - 1. Calculate x(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 4*h - 0 + 1, -4*h - 10 = -2*s. Let x(o) = o - o - s*o - 15. Let j be x(-14). Solve 5*v + 0*n - n = j, -2*n - 29 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 371492*m - 371485*m - 63 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 798334.1 kilograms to micrograms.\nAnswer: 798334100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3193.138 decades in years?\nAnswer: 31931.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -505841*w**3 - 505845*w**3 + 1011687*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l**4 + l**4 - 5*l**4)*((-6 + 3 + 4)*(2*l - 2*l - 2*l) - l + 2 - 2 + (3 - 1 - 1)*(2*l + 10*l - 9 + 7)).\nAnswer: -18*l**5 + 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 6469+0.22\nAnswer: 6469.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 519204.\nAnswer: 2, 3, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + a + 1 + (-4*a + 4*a + a)*(1 - 9 - 7)*(-1 + 4 - 4).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)\/(sqrt(576) - sqrt(9)))\/(sqrt(72) - ((2*sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(72) + sqrt(72))).\nAnswer: -sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**3 - 5*r**2 - 5*r - 4. Let d be (27 - 0)\/3 + -3. Let p be w(d). Suppose -52 = -2*g - p*g. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -246*j - 197 - 49. Let p = 1 + -3. Which is the smallest value? (a) 17 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 6*l = 0. Solve l*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*r + 664 = -7 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 145 minutes after 7:07 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*g + 2 = -32*g. Is (20965\/g - 1)*(-372)\/558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 + 28*l**2 + 2*l - 54. Let z be r(28). Let g be (1\/1)\/(1\/(-2)). Let q(d) = -d. Let s be q(g). Is z at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - -121?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 20813*l + 41581*l - 20798*l.\nAnswer: -30*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 274, 574, 972, 1516, 2254, 3234, 4504, 6112?\nAnswer: 8106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 53580 divided by 1114\nAnswer: 26790\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1001486 at least as big as 1001483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 + 16*n**2 + 17*n - 8. Calculate j(-15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 2\/15, 0.016, -23\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*n + 4*n + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the third derivative of 0*f**5 + 0*f**3 + 12*f**2 + 0 + 7\/120*f**6 + 0*f + 2\/3*f**4. Find the second derivative of u(j) wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 261*i**3*m**3 - 90*i**3*m**2 - 80*i**3 - 40*i**2*m**2 - 1269*i*m**3 - 2*m**3 - 3*m**2 wrt m?\nAnswer: 1566*i**3 - 7614*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.028*6971060\nAnswer: -195189.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 81622690, 326490761, 734604212, 1305963043, 2040567254?\nAnswer: 2938416845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -1130, 979.2, -0.2.\nAnswer: -1130, -0.5, -0.2, 979.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 212805 = 212795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/2 + (-35)\/20. Let r(q) be the first derivative of s*q**4 + 0*q**2 + 0*q + 2\/3*q**3 + 2. What is the third derivative of r(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -447 - -447. Let x = -2.03 + 0.03. Which is the closest to r? (a) x (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 78 - 66 = 0. Solve 0 = -i*m + 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 2*f**3 + 7*f**2 - 2*f + 573. List the prime factors of y(31).\nAnswer: 2, 5, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13977 - -13981. What is the closest to 1 in -0.1, -1\/4, b, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*m**2 + 23*m**2 - 67*m**2.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 6770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54515940?\nAnswer: 2, 3, 5, 17, 19, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2211 and 3311?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 51 + -51.1. Which is the biggest value? (a) -0.2 (b) 1 (c) p (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4631880 divided by -70180?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * 975.3296.\nAnswer: -3901.3184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34585, 36390, 39399, 43612, 49029, 55650, 63475?\nAnswer: 72504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from gggyggypkkpdkykdg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51185*0.318.\nAnswer: 16276.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 34113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 90271.97 centuries to years.\nAnswer: 9027197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:10 AM and 9:34 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 5*h + 2*n, -2*n + 0 = 3*h - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -17*x**2 + 365*x + 203. Give a(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3802, -7604, -11406, -15208?\nAnswer: -19010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b**2 + 781565*b - 781570 = 0. Calculate b.\nAnswer: -156314, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m**2 - 23*m + 10. What is q(-16)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1733228 - -2226777. Suppose -p + g = f, 0 = -0*f + f - 5. Suppose d + 3*d = p. Round d to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 42484*k + 212472. Calculate n(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = k + 16, -3*w - 5*k + 0*k = -12. Suppose w*i = -i. Suppose i*h + 20 = 2*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -203 (base 5) to base 12\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-18)*4\/((-80)\/9)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 4 + 0*q**2 - q**2 + 1 + 8*q. Let v(t) = 2*t**3 + 13*t**2 + t - 19. Let a be v(-6). Suppose -2*k = -c - a, -3*k = 3*c - 5*c - 14. Calculate y(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1167 (base 13) in base 3?\nAnswer: -10100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(2*3\/(-60)*-5). Let s(n) be the third derivative of 1\/10*n**5 + 0 + 0*n**4 - 4*n**z + 0*n**3 + 0*n - 1\/40*n**6. Determine t, given that s(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -26.674 - -26.6739986349. What is x rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 273910770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/3807376 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -243 + 243 + 87*k to the form t*k + r and give t.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 191, 615, 1039, 1463, 1887?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(((-4)\/(-6))\/(-1)). Let t(r) = r**2 - r + 4. List the prime factors of t(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 330915 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19 - 22. Let s(d) = -10*d - 28. Let j be s(x). Solve -3*b = -j*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 282 - 141 - 141 + 40*q**2 - 144*q**2 in the form d*q**2 + k*q + c and give d.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 36*q**2 - q + 24. Suppose 27 = 3*k + 6. Is i(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4*(sqrt(136) - (sqrt(136) - sqrt(136)*2)) - sqrt(136)) + sqrt(136))\/sqrt(8))**2*5.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 968 * 28726\nAnswer: 27806768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t + 2*t - 6*t. Let a(r) be the first derivative of -9 + 0*r + 1\/2*r**2. Determine z(a(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 - 954.\nAnswer: -954.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, b: 5, m: 1, u: 2}. What is prob of picking 1 m, 1 u, 1 b, and 1 k?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f**2 - 3*f**2 + 0*f**2)*(-1 + 1 - 3)*(3 + f - 3)*(-4 + 1 + 2).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/4)\/((-2)\/(-252)). Let a = 65 + t. What is the third derivative of 3*z**4 + a*z**4 - z**2 + 18*z**4 wrt z?\nAnswer: 552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the first derivative of -c**2 + c - 1. Suppose w - 2*w + 3 = 0. Suppose -5*g = -w*g, -y - 1 = g. Let i(j) = -j**2 - 1. Give y*u(n) - i(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.419 - 54.681. What is q rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7941*j + 20671*j + 33796*j)*(3 - 5 + 4).\nAnswer: 93052*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1*(0 - -1) + 1. Let u = -506 + 502. Let z(j) = j**3 + 4*j**2 - j - 7. Let s be z(u). Sort -1, s, y in decreasing order.\nAnswer: y, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-54)\/(-2)*28*28\/10584*3\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 3*p + 8 = -4*d, -p - 2*d = 4. Suppose p*t + 2 = t. What is the first derivative of -2*b**2 + t*b - 4 - 2*b + b**2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 992057513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4554 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -81 + -103. Let z = 1 - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - -21. Let d = z - 31. Sort 2, d, 7.\nAnswer: d, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -5\/3 (c) -2\/723\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -88 - -371b9?\nAnswer: 37131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 408599751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 76, -1, 23, 4 in ascending order.\nAnswer: -2, -1, 4, 23, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1078, 1210, 1438, 1762, 2182, 2698?\n\"Answer: 48*h**2 - 12*h + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-27)\/28)\/3*(472\/531)\/(-4).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3085329916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -166*g = -142*g - 11520. Calculate the highest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2366 by 13.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 - 6. Let r be m\/((-3)\/9 + 0). Let n(p) = -2*p**2 - 5*p - 2. Give n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1397810291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 5*c**2 + 5*c. Let b be f(5). Suppose 2*i - 7*i = -b. Suppose i*u + 0*u = -2350. Round u to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3*d**3 + d**2 - d. Let f be w(1). Suppose -135 = -3*p - 3*m, -p - 5*m = f*p - 181. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -115.7 - -115.6998658. What is z rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 45480 and 30320?\nAnswer: 90960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-5)\/450*-33 - (1 - (-12)\/(-15)). Put 5, 0.1, -36, c, -4 in increasing order.\nAnswer: -36, -4, 0.1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (4\/12)\/((-17646)\/17649 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - ((-950)\/(-95) - (-3)\/7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 169512?\nAnswer: 2, 3, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 2*f**2 - 8. Does 20 divide p(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bj when two letters picked without replacement from mmbjjmjmjmmbmmbj?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes before 11:31 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 14 - ((15 - -3) + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7653.9 + 46877.9. Let k = n - 39317.897. Let q = k + 94. Round q to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 17 = 4*h, 0 = h - 6*p + 3*p - 6. Suppose -4*u = -h*a + 754, 4*a = 9*a + 5*u - 1210. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 250 and 840.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2618 and 746504?\nAnswer: 5225528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 14474, 14478, 14484, 14492, 14502?\n\"Answer: k**2 + k + 14472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 94813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -5. Suppose 4*j = 2 + g. Let c be ((-17)\/((-782)\/(-115)))\/(2\/(-4)). Sort c, -2, j.\nAnswer: -2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2003210113 (base 4) to base 8.\nAnswer: -2034427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 10 (b) -2\/3 (c) -10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:42 PM and 11:34 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k + d + 15 = 3*k, -2*k - 4*d = -24. Let p be -3*(-2)\/k*4. Solve 2*r - 6*r + 3*q = 10, 2*r + p*q = -16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.27 - -0.03. Let h = l - 0.1. Let p be 4\/5*(-55)\/22 - 0. Which is the biggest value? (a) -1\/2 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 34\/14 - 9\/21. Let c be 22\/187*(-1)\/m. Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2855402081 to the nearest integer?\nAnswer: 53436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 3*v**2 - 51*v + 49. Calculate r(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 3 + 3)*(-11 + 48 - 30 + 19*t**3) as o*t + j + a*t**2 + u*t**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3011310102 (base 4) to base 9\nAnswer: 1464416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -259440 - -259445. Solve 1\/3*a**4 - 7\/3*a**3 - 1\/3*a**2 + a**u + 4\/3*a + 0 = 0.\nAnswer: -4\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l\/l**(-10)*l**(-8) assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3733 + -57?\nAnswer: -3801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/19? (a) 0.2 (b) 0.19 (c) 5 (d) 1\/9 (e) -3\/70\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 AM and 9:18 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of 6*j + 1\/26*j**4 - 9 + 0*j**2 + 0*j**3 - 1\/130*j**5. Let w(r) be the first derivative of z(r). What is i in w(i) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 337\/5 bigger than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the second derivative of -j**5\/30 + 2*j**3\/3 - 5*j**2\/2 + 4*j. Let x(i) be the first derivative of v(i). Differentiate x(t) with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5000*m**3 - 2925*m**2 - 45*m.\nAnswer: 5*m*(5*m - 3)*(200*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1c0 + 3801?\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 - 9*r**2 - 10*r - 1. Let o be -6 - (-2 + 4 - 0). Let d be v(o). Solve -1 = -t, -4*f + 5 = -2*t + d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2496 and 1441752?\nAnswer: 11534016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = 2*x. Suppose s = -x*s. Suppose -2*g = 62*g - 16*g - 192. Solve 2*k - 10 + g = s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 7:07 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 3)*(2 - 14 - 1)*(5*b**2 - 2*b**2 - 2*b**2).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(192)\/sqrt(6) - (sqrt(40)\/sqrt(4))\/sqrt(5) - ((sqrt(192) - -1*sqrt(192))*3 - sqrt(192) - sqrt(192))\/sqrt(6)).\nAnswer: -13*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 487462\/6*(4 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the third derivative of -q**6\/30 - q**5\/60 - 5*q**3\/6 + 6*q**2. Let f(d) = -7*d**3 - d**2 + d - 9. Let c(g) = -3*f(g) + 5*h(g). What is c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 281 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 PM and 2:29 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m = -5*d + 4*m + 6, -6*m + 12 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 294592310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 63 = -0*w. Suppose 2*n = 9 + w. List the prime factors of 186\/4*10\/n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86993.9nm in kilometers?\nAnswer: 0.0000000869939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from jvjjvjyjyv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 10 + 64*r + 64*r + 68*r - 202*r + 5.\nAnswer: -6*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12, 26, 42, 60?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 704815271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve g = 27*d - 48, 8*d - 76 + 30 = -5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be 50*(-12)\/300*-5. Solve 6*a - 4*a - 4*v = q, -5*a - 5*v - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -234*c + 103*c + 124*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4.33 and 0.94.\nAnswer: -4.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 2988.6957 to the nearest 10.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**3*g - 4*b**3 - 11*b**2*g + 11*b**2 + 6*b*g - 3*b + 15*g - 1 wrt b?\nAnswer: -12*b*g - 24*b - 22*g + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(14\/21)\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**3 + 3*z**2 + 6*z - 5. Let r be y(4). Suppose 0 = -r*d - d + 152. Solve 0 = 5*u - 13 + d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9164)\/(-4029))\/((-30)\/255)?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.25 + -5.25. What is the closest to 1 in 3, v, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-96 + 93 - 564\/30 - -22)*355\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -66 divided by 22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is o in -908*o**5 + 904*o**4 + 912*o**3 - 904*o**2 - 4*o = 0?\nAnswer: -1, -1\/227, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -205256*w + 204943*w + 25666 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 217295 or 217277?\nAnswer: 217295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + -50 - (10 - (-12 + -13 + 57)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 29\/123 - -12031\/2706. Calculate the common denominator of 23\/12 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a065788 + -8?\nAnswer: a065780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*w + 2*w + 0*w - 8.\nAnswer: 4*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1986 - 162?\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**3 - 7*j**2 - j + 3. Let a be u(6). Let q = -28 - a. What is the smallest common multiple of 1 + 0 + 5*2 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3211 (base 11) in base 2?\nAnswer: 1000010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*g = 20*g - p, g = -4*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8.6 - -9.11. Let j = -976 - -977.51. Let w = j - v. Which is the nearest to 1? (a) w (b) -1\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x + 1. Let n(d) = -86*d - 8. Determine 6*i(l) + n(l).\nAnswer: -92*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - u = 1. Let t(q) = -2*q**2 - q - 1. Let j be t(u). List the prime factors of (198\/(-12))\/(1\/j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3298980 = -3*d + 598980. Let s be (-39)\/7 + 9\/(-21). Let q be d\/(1*(-3)\/s). What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 4*f**3 + 302*f**2 + 981*f - 2106. Calculate b(-72).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (224*i - 109*i - 97*i)*(-10 + i**2 + 7 + 4) to y*i**2 + f*i + u + r*i**3 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 741 and 1.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -23, -12, 2 in increasing order.\nAnswer: -23, -12, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(176) + 0)**2 - (1 + -1 + sqrt(11)).\nAnswer: -sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3 - 0) + 0 - -2. Suppose -5*w = 5*x - 95, 3*w + 77 = g*x + 2*w. Suppose 9*y + 186 = 15*y. Calculate the remainder when y is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -15\/7 in 4, -0.4, -0.1, 21\/8, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -789946, -1579892, -2369838, -3159784, -3949730, -4739676?\n\"Answer: -789946*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-154)\/(-693)*(-1 - (-20)\/8). Let l = 127.6 - 15.6. Which is greater: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -241, 8, 252, -2.\nAnswer: -241, -2, 8, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 5*i = 2*f + 18, 5*i + 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4 (b) -466 (c) 0.1 (d) -3\/86 (e) -5 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 811.84 to 0 dps.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 604446230.\nAnswer: 2, 5, 103, 586841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-160)\/105)\/8)\/((-14)\/21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 30 - -2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26990190?\nAnswer: 2, 3, 5, 299891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -2*o - 3*o + 5, 3*o = x + 2. Which is the third biggest value? (a) x (b) 3 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 + 10*t**2 - 5*t - 5. Is y(8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + 0 + -158 + 0. Let y be 2\/5 + w\/(-35). Find h such that -1 + 8*h**3 + 6*h**4 - 4*h**3 + 0*h**4 - 6*h - 4*h**2 - 1 + 2*h**y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69 = -43*q + 413. Solve 3*x - q*x = 4*i - 3, 4*x = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**3 + 5*x**2 - 4. Let s be f(-4). Let k(z) = 0*z + s*z + 10 - 11. What is the remainder when k(3) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1098230 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-2\/31)*q\/q**2)\/(q**(2\/13)*q*q**(-18)) assuming q is positive.\nAnswer: q**(6815\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand b**3 - 2*b**3 - b**3 + b**2 - b**3 - b**2 + (4 + 2*b - 4)*(2*b**2 + 0*b + 0*b) + (-2 - 3 - 12)*(-2*b**3 - 2*b**3 + 2*b**3).\nAnswer: 35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 830, 169, -932, -2473, -4454, -6875?\nAnswer: -9736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -4623 and 897348.\nAnswer: 892725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -882989 - -1443600. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -106743\/10 - -10684. Calculate the common denominator of 101\/4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 40*(-2)\/(-6) + -12. Which is the smallest value? (a) -6 (b) f (c) 0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27 - -2)*(20 - (3400\/220 - 72\/(-132)))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the first derivative of -o**3\/3 + o**2 + 12*o + 12. Calculate c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 469694.53 rounded to the nearest 100?\nAnswer: 469700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -9*l + 3*l**2 + 0*l**2 - 3 - 4*l**2. Suppose -4*m = -66*m - 372. Give i(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, k: 2, x: 6, f: 2, n: 2, i: 3}. Give prob of picking 2 i and 1 k.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 6 = 2*x - 0*p, x - 3*p = -13. Let b(f) be the first derivative of f**6\/360 - 4*f**3\/3 + 2. Let k(h) be the third derivative of b(h). What is k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 + 68 + -4 + 0 + -9 + (-116 - -127)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2272, -11020, -4, -5, 1 in ascending order.\nAnswer: -11020, -5, -4, 1, 2272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 29\/2 of a millisecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1, -1\/3, -3860, -1\/6, 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/((x**(7\/5)*x)\/x))\/x**(1\/12))\/(x**(8\/3)*x*x*x**4) assuming x is positive.\nAnswer: x**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 - 6*i**2 - 7*i + 4. Let q be o(7). Let n(p) = p - 4. Determine n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 - 2*c**2 + 3*c - 1. Let n = -26 + 31. Let g(v) = -2*v + 12. Let s be g(n). Determine t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14650 = -17*i - 3600. Let x = -654 + i. Suppose -5*j - q = -7, -4*j + 12 = -2*q + 6*q. Put j, 2, x in decreasing order.\nAnswer: 2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 86*f**3*j*p - f**3*p - 25847*f**2*p - 3*f**2 - 1063*f*j**2*p wrt j?\nAnswer: 86*f**3*p - 2126*f*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(170)\/sqrt(10) - sqrt(17)) + (sqrt(85)\/(sqrt(35)\/sqrt(7)) + sqrt(17))**2 + 6*5*sqrt(68)\/sqrt(4)*-5.\nAnswer: -145*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13736 - 13724. Let r(h) = -h**3 - 13*h**2 + 14*h + 5. What is the remainder when u is divided by r(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -3*u + 57583 - 57445, -2*x - 5*u = x - 148 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to -10\/118961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2306166 times 86?\nAnswer: 198330276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = -4*r - n, 19 + 11 = 5*r + 5*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of f**3 + 380950*f - 134011.\nAnswer: 3*f**2 + 380950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -2*t + 8. Let p be ((-1296)\/(-189))\/(6\/21)*5\/2. Which is bigger: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -45 - -78. Let o = u - 27. Let w = 114 + -46. Calculate the lowest common multiple of o and w.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 - 28 = g. Put -2, -6, 3, g in descending order.\nAnswer: 3, -2, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g - 5*r + 62, 5*r = -2*g + 4*g + 99. Let d = g + 67. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 82 = 209. Let r be 52\/14 + 6\/21. Find the third derivative of -r*c**3 + 7*c**2 + m*c - 97*c wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -522660 (base 7) in base 4?\nAnswer: -111330003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify t*t**(1\/3)*t*t**(-4\/5)*t*(t*t**1)\/t**3 assuming t is positive.\nAnswer: t**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2859 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -74.78 - -8.44. Let b = -0.34 - h. Let c = b + -65.999949. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-66)\/9*-3 - 0. Let h = c - 11. What is the lowest common multiple of h and 12\/66 + (-40)\/(-22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 6 = -36*a + 39*a, -5*a = 2*s + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 3*a**3 + 776*a**2 + 336*a - 46433. Give k(-258).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -704, -1180, -1656, -2132, -2608, -3084?\nAnswer: -3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a + 2*r + 14, 905*r - 908*r = -15 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 2*g**3 - 11*g**2 + 20*g - 36. Determine q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*j - 59 = -86. Solve 1 = -2*b - j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/36*-6*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -475.2 - -475. Which is the closest to -0.1? (a) 0.1 (b) y (c) -3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y = y + p + 17, -5*p = 5*y - 5. Solve y*v = -3*m, 3*v = 5*m + 2*v - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 9646 and 63247?\nAnswer: 53601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 17, -12, -79, -196, -375, -628, -967?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1069405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = -29 - -33. Suppose 5*l - x*o = 11, 0*l + 4*o - 10 = -2*l. Suppose 3*h - 499 = -4*w + 2*h, l*w + 2*h - 368 = 0. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 585836 and 463056?\nAnswer: 3508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pzz when three letters picked without replacement from pzzzpzzzppzpz?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 169 divide 5843175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**3 - 2*s**2 + s - 1. Let q(v) = v**3 + 3*v**2 + 2*v + 2. Let n be q(-2). Suppose 0 = -n*t + 2. Give f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of 7*q**5\/160 + 41*q**4\/32 + 75*q**3\/16 - 825*q**2. Let w(p) = 0. What is p?\nAnswer: -75\/7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4.1 * 0.37\nAnswer: 1.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b - 10*b + 20 = 0. Let d = 72 - b. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 22779 is divided by 21941?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7142 and 1.996.\nAnswer: 14255.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -146132800 divided by -2?\nAnswer: 73066400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12974 + 7624. What are the prime factors of f?\nAnswer: 2, 3, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 392735 (base 11) to base 9\nAnswer: 1142337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/39 - (-986)\/13. Suppose 2*d = -3*f + 41 + 15, 5*f - q = d. Let v(s) = -5*s - 3. Calculate the remainder when v(-6) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -313 - -318. Suppose 5*l = -s*n + 775, -3*n + 3*l = -0*l - 453. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4096 by 12.\nAnswer: 1024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 + 6*i**2 - 2*i + 18. Let a be ((-15)\/4*(-188)\/(-470))\/(6\/28). Give z(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 920?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mhm when three letters picked without replacement from hmhhmuhmum.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 20412252 divided by 3402042\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -y + 52, 0 = -5*u + 4*y - 6 - 90. Let t be (u\/(-32))\/((-1)\/(-6)). Suppose -30 = t*k - 1935. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -6*y**3 + 550*y**2 + 1196*y - 42047. Give g(93).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000588192828 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 - 6*t**2 + 10*t - 2. Let k be b(-7). Let z = 48 + k. Is (-314)\/(-10) - 10\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 39 = 15795*l - 15793*l, -4*c + 3*l = 20 + 36 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1002 (base 3) in base 16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1\/5*f**4 + 0 + 1\/5*f - 1\/5*f**3 - 1\/5*f**2 = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -1648.\nAnswer: -1\/1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 519089 is divided by 172825.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g - 12, 807 = 2*z - 3*g - 282. Is 540 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a - 1. Suppose -2*o - 20 = 2*o, -2 = v - o. Is 3 a factor of z(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-80)\/140*(-7)\/2. Solve -47 = 5*c + 3*k - 7, v*k + 20 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70156072 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1011 - 1?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (sqrt(2448) - (0 + sqrt(2448))))*-3 - (sqrt(1377)*1 + 3 - sqrt(1377) - sqrt(1377) - (sqrt(1377) + -4 + sqrt(1377)*1)))**2.\nAnswer: -540*sqrt(17) + 12493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (285\/(-90))\/((-39)\/(-234))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5178333*y + 10679964?\nAnswer: -5178333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 41*s**3 + 2*s**3 - 31 - 1032*s + 1032*s as c*s**3 + o + u*s**2 + v*s and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2344864 and 153295484.\nAnswer: 1226363872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 4\/7, -0.5, -0.25?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 575386.46307161 and -4?\nAnswer: 575390.46307161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -430 times 2.76391\nAnswer: -1188.4813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qe when two letters picked without replacement from qqqeevqe?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 74.37456 minutes?\nAnswer: 4462473600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 6*y + s + 125 - 84 = y, 0 = -3*s - 105 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19.036 - -19. Let k = f - 0.054. Put k, 1\/3, -0.3 in increasing order.\nAnswer: -0.3, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -8*u - 3. Let h(y) = 15*y + 5. Let m(x) = -x**2 + x + 27. Let g be m(6). Let f(b) = g*h(b) - 5*i(b). What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 5, -1\/3, 8648, 0.4, -1.\nAnswer: -6, -1, -1\/3, 0.4, 5, 8648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 390766184 - 390766177.66000588. Let x = s + -6.34. Round x to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/7785270 and -103\/72.\nAnswer: 31141080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 8907.732 months?\nAnswer: 7.42311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the first derivative of 5*m**4\/36 + m**3\/9 + 12*m + 19. Let o(j) be the first derivative of i(j). Factor o(h).\nAnswer: h*(5*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:01 PM and 4:10 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -6070000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.1 and 6565.\nAnswer: 6564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 159.6 less than 1?\nAnswer: -158.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 240024046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -553\/5 (b) 4 (c) -2\/795 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c**2\/6 + 5*c\/6 + 25 = 0. Calculate c.\nAnswer: -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 5 + -12313?\nAnswer: -12306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13500*v**2 - 3 - 24515*v**2 - 17804*v**2 + 2*v - 4*v.\nAnswer: -55819*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3b606 - 2?\nAnswer: 3b604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = o**2 + 4*o + 4. Let a be g(-5). Suppose 0 = -a*r + 4*r. Suppose r = -3*d - 0*d. What is the second smallest value in -1\/4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/280*-2*38\/38.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:29 AM and 4:36 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 4) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 710064 divided by -29586.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 - -38. What is the highest common divisor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1251713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -2, -5, -3, 87420 in increasing order.\nAnswer: -5, -3, -2, 6, 87420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 453979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 2750*r = 2754*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 AM and 6:51 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 64 + -42. Let g = x + 94. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - f - f + 31, 3*f - 14 = q. Let v be (-6)\/15 + (-2)\/q. Suppose j + v*j = -2, 16 = 2*u - 4*j. Solve -u*y - 8 = 0, -4*y - 1 = 2*z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9007 - -9003. What is the biggest value in 2, -10, x, 3\/2, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-4)*5*8\/10 + -29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-108))\/(9\/135)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of a**4\/24 - a**3\/3 + 3*a**2. Let g(t) = -2*t - 7. Let d be g(-6). Determine i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the second derivative of 0 + 0*t**3 + 200\/3*t**4 + 2*t + 0*t**2. Let q be x(-1). What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 - 2*d - 3. Let s be y(3). Let t = 484 - 15006\/31. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 1 = -3. Let x(p) = p**2 - 3*p - 8. Let o be x(5). Let i be (11 + 1)\/o - 1. Solve -i*d = -4*d + n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10143 + 220?\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12174 - 4383 + 7455 = 121*p. What is the greatest common factor of 196 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnssnnnn. Give prob of sequence ssn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -334*h + 336*h + 18 - 12 - 6.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 16, 50, 102, 172, 260?\n\"Answer: 9*y**2 + 7*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 1.5, 0.32 in decreasing order.\nAnswer: 1.5, 0.5, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times -0.04236\nAnswer: 0.004236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 28635146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of 3*w**3 + 3*w**2 - 7*w + 47. What is the remainder when 81 is divided by r(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 209439002?\nAnswer: 2, 127, 824563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 81, 28, -61, -192, -371, -604?\n\"Answer: -m**3 - 12*m**2 - 10*m + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/(81\/(-2)) - (-15326)\/(-5238). Which is the biggest value? (a) 1\/8 (b) 3 (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -52.76 times 2.513?\nAnswer: -132.58588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jb when two letters picked without replacement from {t: 5, j: 9, b: 1, d: 1}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1790\/1539 or 0?\nAnswer: 1790\/1539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (6 - 4)*17\/(-68)*14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/18 + 152\/36. Suppose g*o - 3 = 5. Find y such that 0*y**o - 2*y**2 + 2*y + 3*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + 7*h + 24. Let a be v(-4). Suppose -a*d + 3131 + 829 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -174*r**2 + 21*r + 70. Let h be j(-7). Let l = h - -14436. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185503515.\nAnswer: 3, 5, 103, 120067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 200 - 999\/5. What is the nearest to 2\/7 in 2\/19, d, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18696749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 13 (base 5) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 2*h - 5 = -15, -4*h - 8 = 0. Let v(p) = 2*p + 6. Let s be v(5). Solve 2*a + 3*d = 8, 0 = n*a + 2*a + 4*d - s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -47d + -15c?\nAnswer: -5db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q + 7*a - 2*a + 165, -5*q - 2*a = -717. Calculate the remainder when q is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((969\/38)\/(-17))\/(3\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 4*x - 5*x + 20, 4*m = x + 36. Suppose -4*a = -4*b + 16, -2*a - 6 = a. What is the tens digit of (108\/m + 4)*b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - y - 12 = 0. Let i(k) = 7*k - 77. Give i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 450 and 38557395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-8))\/((-2)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.1, 4, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q**3 - 3*q**3 + 4*q**3)*(-2*q + 0*q + q) - 22113*q - 3 - q**3 + 22107*q + 5*q**4 - 11*q**4.\nAnswer: -4*q**4 - q**3 - 6*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/((-64)\/828)*223\/2007)\/(1\/(-4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -10694, -21386, -32078, -42770, -53462?\n\"Answer: -10692*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 153, 314, 477, 642, 809, 978?\n\"Answer: d**2 + 158*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4205 + -4201. Which is the smallest value? (a) -0.1 (b) 0.2 (c) 11 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 45 = -20. Let l = 34 - 10. Suppose 9*w - j*w = l. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -5768?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = 11 - 143. Suppose -5*g + 0*g = -u - d, 2*g - 5*u - 4 = 0. Let s(v) = 10*v**2 + 2*v - 1. What is the remainder when s(1) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4.04 - 0.04. Put 2\/3, -2, l in decreasing order.\nAnswer: l, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 9*u - 71. Let f be b(8). Let p(i) = 3274*i**3 - 6*i + 6. Is p(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 0*m - 1 + m - 3*m. Suppose 0 = -2*p - 2*u - 10 - 2, -15 = -5*p + 4*u. Let l be s(p). What is the greatest common divisor of 11 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 87382*h + 437145. Calculate z(-5).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*h**4 - 7963*h**3 + 66836?\nAnswer: 8*h**3 - 23889*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 124146416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -32 (b) -0.14 (c) -9\/2 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (66\/55)\/(2\/15). Solve -v - 6 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -284 + 296 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 21 + (-1073)\/29.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118363 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2\/19)\/i**(3\/11))\/(i**(2\/9)*i*i**11*i) assuming i is positive.\nAnswer: i**(-25582\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 8:57 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -2*g - 52. Let u = g - -18. Suppose t - 16 = -u*y, y - 1 = t + 7. Solve q - 1 = -y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84859523 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -250179682, -500359362, -750539042, -1000718722?\nAnswer: -1250898402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s\/(s*s\/s**2)))\/s)\/s)**(15\/8)*(s**(-2))**11 assuming s is positive.\nAnswer: s**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -i**6 + i**5\/4 + 9*i**4\/2 + 11*i**3\/4 - 5*i**2\/4 + 6145. Let a(s) = 0. Calculate s.\nAnswer: -1, 0, 5\/24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the third derivative of j**7\/840 + 139*j**6\/240 - 7*j**5\/6 - 139*j**4\/48 + 93*j**3\/8 + 3151*j**2. Find f, given that x(f) = 0.\nAnswer: -279, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 703.482t?\nAnswer: 703482000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 16*z**2 + 114*z - 31. What is the lowest common multiple of h(-10) and 312?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -9*b + 0*b**2 - 6 - 4 + 2*b**2. Let a be v(7). Let o be (-2)\/(-2) - (4 - a). Calculate the greatest common factor of o and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -5*x + 3*x. Suppose g + 16 = 5*c, 3*c = g + g + x. What is the least common multiple of 7 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4600 - -1?\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 64 = t - 5*t, 4 = -2*x. Let u = -351 + 352. Suppose -6 = -o - 5*k + u, 4*k - 8 = -2*o. Solve 0 = 3*m + t - o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24.1574 rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -13*g - 62. Let y be d(-5). Solve -4*m = v + y*v - 12, m = -4*v + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 342610771 and 0.5.\nAnswer: 342610771.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -8629617651 and -5.301.\nAnswer: -8629617656.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -152, 447, 35 in descending order.\nAnswer: 447, 35, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 318565?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4 - ((-5)\/(-1))\/(-45)) + 4. Let r = -3.6 - -4. Let c = r + -3.4. Put x, c, 0.2 in descending order.\nAnswer: 0.2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -5*l - 9, -3*n - l + 25 = l. Suppose 16*a = n*a + 190. Calculate the greatest common divisor of a and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-40)\/(-12)*135\/(-360)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 10 - 5 - w**3 - 6 + 0. Let r(a) = -2*a**3 - 7*a - 3. Let h(o) = -3*c(o) + r(o). Let f(x) = -2*x + 2*x + 0*x + 3*x. Calculate 5*f(z) + 2*h(z).\nAnswer: 2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*5*sqrt(21)\/(sqrt(3)*-3).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the second derivative of 4*f**6\/5 + f**5\/20 - f**4\/12 + 47*f**3\/3 - 56*f. What is the third derivative of j(g) wrt g?\nAnswer: 576*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify g\/((g**(-2\/13)*g)\/g)*g\/g**(-11)*g\/(g\/g**11)*g*g**(-10) assuming g is positive.\nAnswer: g**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 9*u**2 + 2*u + 24. Is 20 a factor of l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 2:08 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -179191 = -3*m - 4*p, -131742 - 166953 = -5*m + 2*p. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3150 and 1604505.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -1 + (1 + -2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -236*g**5 - 4*g**3 + 1499*g + 2 - 122*g**5 - 2475*g**5 + 4*g**3 wrt g.\nAnswer: -56660*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*v - v. Let t(r) = -r**2 + 4*r + 1. Let q be t(v). Suppose 96 = 4*p - q*x, 3*p + 4*x = 2*x + 52. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -598a + 413?\nAnswer: -5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.7 + -0.7. What is the biggest value in -0.06, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1719.9 times -3\nAnswer: 5159.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 3*r - 1133, 0 = 3*r + 6 - 15. Let l = 1887 + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 - 20 - 9)*(-3*c + 6*c + c**2 - 2*c) to the form q*c + l*c**2 + v and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/6 - 12\/(-9). Suppose 92 = 5*s + 4*l, 2*s - 3*l + n = 24. Factor 30*w**2 + 80 + 40*w - 9*w**2 - s*w**2.\nAnswer: 5*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -4*g - 6*g + 9 + 6*g + 3*g. Determine h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 434285 or 434278?\nAnswer: 434278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 43 - 11 = 0. What is the third derivative of -26*d**4 - y*d**2 + 895*d**3 - 895*d**3 wrt d?\nAnswer: -624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-16)\/(-20))\/4)\/(4\/30).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -3*i**2 + 56*i + 303. What is the lowest common multiple of 282 and v(0)?\nAnswer: 28482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 2*a + 185. Let x be p(0). Is (-6 - x)*(-4 + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the second derivative of -r**3\/6 + 2*r**2 - r - 140. Let o(f) = -2*f + 9. Let p be (11\/(-2) - -2)*-2. Calculate p*s(j) - 3*o(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a**3\/5 + 36*a**2\/5 + 864*a\/5 = 0. Calculate a.\nAnswer: -12, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 59005, 118100, 177195, 236290, 295385, 354480?\n\"Answer: 59095*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 0*m - 4*d - 12 = 0, -3*d = -5*m + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 5*w. Suppose -4*t - 112 - 44 = w. What is the common denominator of -65\/12 and 569\/(-234) + (-6)\/t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2138*l = -2633*l - 9900 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-15))\/(6\/(12\/1)*2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 615769 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j - 2. Let z be r(11). Let n = -11 - z. Suppose 0 = 3*t - n*t + v - 21, 5*t + 2*v - 102 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7 - 7 - 6*r - r + 4*r + 2*r + 0 + 0 - r + (-2 - 2*r + 2)*(-5 + 1 + 5) as j + b*r and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000062788 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*v + 1 + 0 - 1.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 1 = -9. Suppose -3*t = 5*p - 75, -2*p + 12 + 18 = 3*t. Suppose a + 4*k + 0 = 24, h*a = 3*k + p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 3037 and 3038 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.051, 3, -0.4, 20 in ascending order.\nAnswer: -0.4, -0.051, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 8*n = -7*n - 24, -2*n = 2*b - 18. Suppose 55899 + 10826 = -r - b*k, 0 = r - 4*k + 66680. Round r to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0188070603 to five decimal places.\nAnswer: -0.01881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14.56 + 15.207. Let i = v - 0.64933. What is i rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 2*g**2 - 3*g + 3. Let s(j) = -j**3 - 6*j**2 - 5*j - 3. Let n be s(-5). Let t = n + -1. Is p(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-2) - 0)\/(11 - 16).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7777474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, m: 2, k: 1, r: 2, u: 3}. What is prob of picking 3 f?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 265 = -z + 64, 2*z = 4*i - 422. Let h be i*4\/40*405\/18. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 2*r - 4. Let h be c(2). Solve -u + h - 13 = 5*i, 0 = 2*i + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 168 and -397381.\nAnswer: -66760008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 PM and 6:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(2 + (-3*sqrt(1900)*6*6)**2)*3.\nAnswer: 398908836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -36*b**4 - 124*b**3 - 6 + 0 - 2 + 188*b**2 - 60*b + 40*b**5 = 0.\nAnswer: -2, -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 478 is divided by (-55)\/2*(-4056)\/7436.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.4, -5, 1, -5.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 160*c*k**3 - 23*c*m**2 + k**3*m - 3*k**3*o + 4*m**2 - 2*m*o wrt m?\nAnswer: -46*c*m + k**3 + 8*m - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 + -11 - 2) + (35 - (18 + 15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 5*j - 86, -18*j - 291 = 3*z - 22*j. Let h = 108 + z. Solve h*o = 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u + 12. Let b be f(5). Suppose 94 = -3*z + 5*z. Suppose -4*s + 205 = -z. What is the greatest common divisor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 51.3 + 14.7. Let r = m - 66.0013. Round r to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-18)\/8*(-64)\/240. Let z = -0.3 + -0.7. Which is the third smallest value? (a) 2 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6.768853 decades?\nAnswer: 812.26236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(140)\/(sqrt(15)\/sqrt(3)))\/sqrt(4) + -1.\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-2)\/(-4))\/((-2)\/(-64)). Suppose -48 = -4*l - 4*m, 31 = 3*l - 2*m - 0*m. Let p = f - l. Solve -3*s + 2*n + n - 15 = 0, -p*s - 19 = -2*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(-6)*r\/r**(-1\/3)*(r\/(r**(-4\/9)\/r))\/(r*(r*r**(-1\/5))\/r))\/((((r*(r*r\/((r*r*r\/(r\/(r**2*r))*r*r)\/r)*r)\/r)\/r)\/r)**(-2\/11))**46 assuming r is positive.\nAnswer: r**(-15761\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.8324823 litres?\nAnswer: 832.4823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -166410, -332828, -499246, -665664?\nAnswer: -832082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -5*z + 13 - 1, -5*z - 3*o + 18 = 0. Find the third derivative of -4*d**4 + 9*d**2 - 7*d**2 + z*d**4 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - 5*a + 66 - 84 = 0, 2*w = 5*a + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of x**5\/20 + x**4\/6 - x**3\/2 + x**2\/2 + 5*x. Let z be u(-3). Sort z, 2, -1 in descending order.\nAnswer: 2, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -5*z**2 + 8*z**2 - 2*z**2. Let t(r) = -r**2 - 9. Let q(f) = b(f) - t(f). Differentiate q(y) with respect to y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7.554 + -6.51. Let o = -0.056 - l. Let q = 2.9 - o. Which is the nearest to 1? (a) 5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/9*0 + -2. Let n = 8 + c. What is the least common multiple of n and (-75)\/(-9) - (-2)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 111 - 105.7. Let p = 0 - x. Let g = -1.3 - p. Which is the second smallest value? (a) 0 (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve y = -2*x + 6, 3*y + 13*x + 18 = 16*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.2 and -685.\nAnswer: -684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t + 1. Suppose 0 = 4*r + 14 - 38. Let h(g) be the first derivative of -3 + r*g - 5\/2*g**2. Give h(c) - 4*o(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -767 * 387\nAnswer: -296829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 184*w - 2. Let h be b(1). Suppose 5*m + 84 = u, -5*u + 3*m + h = -150. What is the highest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 - (-16)\/(2 + 2). Factor -159*y**3 + 9*y**v - y**2 + 135*y**3 + 13*y**2.\nAnswer: 3*y**2*(y - 2)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*v = 57*v - 4. Let l(i) = 21*i - 8. Is 5 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1718777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28.5 + -28.9. Which is the nearest to -1? (a) 5 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 233 - 216. Suppose 0*m = -2*m + 68. Suppose -i + m = 3*g + 3*i, 0 = -2*g + 3*i + n. Calculate the lowest common multiple of g and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 252003, 503950, 755897, 1007844?\nAnswer: 1259791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 3*c**2. Let j(g) = 32*g - 32*g - g**2 + 18*g**2 - 1 + 11*g**2. Determine r(j(m)).\nAnswer: 2352*m**4 - 168*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 581508*o**4 - 93*o**3 + 2*o**2 - 86407573*o wrt o?\nAnswer: 6978096*o**2 - 558*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 357 + 29. Calculate the remainder when p is divided by 79.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 9 = -1. Let t(f) = f - w + 4. Let s(g) = -g + 2. Let a(q) = 5*q - 11. Let r(d) = 4*a(d) + 22*s(d). Give t(r(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11324 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4439 - 4441. What is the closest to 34 in c, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = n + 1, 4*n + 4*j - 1 - 7 = 0. Let q = n - -1. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 90 + 18 = 0. Let s = -4 + 0. Let c be 1 - s - (-1 + 0). What is the greatest common divisor of c and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 75459195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 828.549 centuries to millennia.\nAnswer: 82.8549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**3 + 2*o**2 - 5*o - 2. Suppose 5*q + 24 = 3*q. Let y be (6\/(-1))\/(q + 14). Let j be u(y). Solve -3*l - 31 = 5*h, 3*l - 5*h + j*h = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9)\/(-7875)*19637623 + -1 + 5. Let j = x - 22447. Is 1 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (t - 2*t + 3*t)*(-t**2 - 1 + 1) - 4*t**3 - 3*t**3 + 4*t**3 + 3*t**3 - t**3 - t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 + 11*u**2 + 10*u - 8. Give h(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6329*a**3 + 3010*a**3 - 1833 + 1835.\nAnswer: 9339*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 12 = 2*t, -y - 3*t = -8*t + 9. Suppose 36 = 1191*q - 1179*q. Sort -4, q, 4, y in decreasing order.\nAnswer: 4, q, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 208 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 161030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**0\/t)\/(t**(-2\/13)\/t))\/((t*t**12)\/(t\/(t\/(t\/(t**(5\/3)\/t)*t))*t)) assuming t is positive.\nAnswer: t**(-410\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6226*v**3 + v**2 - 6*v**2 + 3*v**2 - 150*v.\nAnswer: 6226*v**3 - 2*v**2 - 150*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*t + 6*t**2 + 3*t + 13 + 4*t to the form p*t + i + x*t**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*b - 18*b - 22. Suppose -5*d = -c + 32, 20 = 4*c + 4*d - 12. Suppose c*x - 112 = b*x. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -237 divided by -6961?\nAnswer: 237\/6961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -4*o + 84, -2*o = 2*o - 20. Let a be (-2 + 2)*(-2)\/4. Suppose -4*y + y + 30 = a. What is the least common multiple of c and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15.95 - -18. Let c = -2.0224 + o. Round c to three decimal places.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-3)\/(-3))\/(3\/(-24)). Let c be 7\/(-28) - 178\/b. Suppose -17 + 6 = -r. Calculate the greatest common divisor of r and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1453, 5885, 13281, 23641, 36965, 53253?\nAnswer: 72505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the first derivative of -2*n**3\/3 - n**2\/2 - n + 22. Let k be (-2)\/6 - (-14)\/(-21). What is u(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 757 and 20439.\nAnswer: 20439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (0 + sqrt(252) + -5 - (sqrt(252) + sqrt(252) + -1 + -5)) + 5)**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 106243.06235 rounded to 0 decimal places?\nAnswer: 106243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away 29181484?\nAnswer: -29181488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 10*m - 40 = 0. Let a be 39\/(-52)*m\/3 + 2. Solve 4*z + 3 = 5*q, 4 + 14 = 3*z + a*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -11121 (base 4) to base 7\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4344.8 in 4, 2\/3, 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 5663202665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 1 + 12 - (-3396 - -3396).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 299 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -172*k + 188*k = -80 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15213862 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 2267277.\nAnswer: 906910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 3*b**2 + 5*b**2 - 129*b - b**3 + 16 - b**2 + 125*b. What are the prime factors of a(-7)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1168*f**2 - 1090*f**2 + 17 - 145 + 5*f**3 + 288*f.\nAnswer: (f + 8)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**2 + 9*t - 3. Let o be l(8). List the prime factors of (-2)\/(-3)*(38 - o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - ((-6)\/(-6) + -2). Solve 5*n = 4 + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(4\/3)\/(p\/(((p*p**(-6))\/p)\/p*p*p)))**(2\/37) assuming p is positive.\nAnswer: p**(-28\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 88*z**2 + 574*z + 108. Determine b(-6).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**2 - 4*c + 8. Let y be g(3). Let i(n) = n**3 - 29*n**2 - 29*n - 27. Let h be i(30). Solve 0*p = -y*j - h*p + 4, -3*j - 4*p = -9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -g - v - 18, -5*g + 4*v = 2015 - 1889 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40*-1.6.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, q: 10, f: 1, y: 1}. Give prob of sequence fqi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*p**2*s*z + 3*p**2*s + 7*p**2*z - 14*p**2 - 63*p*s*z - 2*p*s + 4*p*z - 11 wrt p?\nAnswer: -4*s*z + 6*s + 14*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**2 - 18*f + 229. Calculate a(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 19*k**2. Let n(m) = -26*m. Determine n(c(f)).\nAnswer: -494*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -65057 + 110410. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 = -c - 3*q - 34, -3*q = 4*c + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 5310*g - 177. Let u(o) = 31*o - 1. Let v(d) = m(d) - 177*u(d). Let z(t) = 5*t. What is z(v(n))?\nAnswer: -885*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 12844876 to the power of 1\/2, to the nearest integer?\nAnswer: 3584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -555, 42, 1059, 2496, 4353?\nAnswer: 6630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(13)*-3 + -1).\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:47 AM and 4:43 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 759 divide 4084179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 200*u = -16*u - 17*u - 69*u - 9664 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.2579 - -0.252. What is h rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 136798 is divided by 499.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 11:46 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 3*v**2 - 4*v - 2. Let z be k(2). Solve -6 = o + z*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w**2\/5 + 114138*w\/5 + 342387\/5 = 0. What is w?\nAnswer: -38043, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -21*n. What is the remainder when 61 is divided by c(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 72239 = -5*p, -9*p = -11*p - 4*f + 28898. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.3 + 0.3. Let a = -10.27 - -8.27. Let q = v + a. Put 4, q, -0.3 in increasing order.\nAnswer: q, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 27323.48 + -0.178980483.\nAnswer: 27323.301019517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -25061471 - -1?\nAnswer: -25061470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -47*h**3 - 1437*h**2 + 618*h - 62. What is i(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -22, -239, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -4*p - 5. Let s be h(-2). Suppose -3*a = s - 6. Suppose -2*d + 5*m = -3, -4*d + 9*d - 3*m = 36. What is the greatest common divisor of d and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -40 + 42. Suppose a*r = -2*x + 22, r + 0*r - 4*x = -14. Let p(h) = h**2 - 3*h - 14. Let b be p(r). Calculate the greatest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*w + 36 = -30*w. Put -501, 5, w in ascending order.\nAnswer: -501, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.03624107 + 582.\nAnswer: 581.96375893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.19141 and -0.54.\nAnswer: 0.1033614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Are -130\/21 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25958093 - 25958100.4999868. Let j = -7.5 - q. Round j to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 2*c**2 - 16. Let t be 2*(1 - (0 - 0)). Let x(r) be the second derivative of -r**4\/12 - 2*r - 6. Let h(v) = t*x(v) - y(v). Factor h(d).\nAnswer: -4*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*d - 27*d + 20153 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77111?\nAnswer: 29, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 45*i**4 + 3*i**3 + 58*i**2 + 712*i - 5 wrt i.\nAnswer: 540*i**2 + 18*i + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -40256039 divided by -6\nAnswer: 40256039\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 4773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 513357 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 288638, 577276, 865914, 1154552, 1443190, 1731828?\n\"Answer: 288638*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 155*w + 182. Calculate k(-3).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d**2 + 871 + 1197 + d**2 - 250 + 900.\nAnswer: -d**2 + 2718","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -250*l = -896 + 39 - 643 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -180713777.9 - -1.\nAnswer: -180713776.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 5*l - 4*s - 9144, 5*l + s = 22904. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = -f - 2*h, -4*f + 93 = 4*h + 17. Let a be (-12)\/f*(-6)\/9. Find c, given that -4\/17*c**2 + a*c - 2\/17*c**4 + 6\/17 - 8\/17*c**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1486 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -9192974.18 + 3844.\nAnswer: -9189130.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 - 6. Suppose s*r + 0 - 2 = 0. Let b(x) be the third derivative of x**5\/60 + x**3\/6 - 40*x**2. Give b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-196)\/28028)\/((-13)\/(-1430))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -9771 divided by 3\nAnswer: -3257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1649878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - k + 4)*(-3*k**4 - 2*k**4 + 3*k**4).\nAnswer: 2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -32928? (a) -1 (b) 2\/3 (c) -4 (d) 1\/9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -n + 0*n - 3*n + n - 2*n + 3*n - n + 0*n - n + (1 + 0 - 3)*(-3*n + 5*n - n) + 0*n + 0*n - 2*n - 6 - 2*n + 6 - 2 + n + 2 - 114*n + 2 - 3 - 37*n.\nAnswer: -160*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eoewwoewe. What is prob of sequence we?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1305 (b) 10 (c) -321 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*m + 105. What is the greatest common factor of 120 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 35*(5 + -6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12963413 + -200.275?\nAnswer: 12963212.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x + 8. Let r be b(7). Let q(j) = -6*j**3 + 2*j**2 - 1. Calculate q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -40.96 + 41. Which is the nearest to -6\/11? (a) 2\/9 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 7\/(-5) + 6\/15. Suppose -4*w + 5*t + 18 = -6, -5*w - 3*t + 30 = 0. What is the tens digit of i\/(9\/(-636)) + (-4)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 29116*p**4 + 131935*p - 1 wrt p?\nAnswer: 349392*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 25*x - 137. Let b(d) = -24*d + 134. What is 13*b(g) + 12*j(g)?\nAnswer: -12*g + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + 6. Solve t - 1 = l, -3*t - l = -f*l - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (48\/64)\/(-3 + (-39)\/(-12)). Let h(y) be the first derivative of 1\/15*y**5 - 4\/3*y + 2\/3*y**2 + 1\/3*y**l + 5 - 1\/3*y**4. Find c such that h(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -84*g**5 - g**4 - 22*g**2 + 529255*g?\nAnswer: -1680*g**3 - 12*g**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 0 + -188 + 203.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 - 71*k**2 + 205*k - 9. Give f(68).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6822 + -47751\/7. What is the nearest to -0.1 in 3\/4, 0.0598, d, 0.1?\nAnswer: 0.0598","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 3*n**2 - 5*n - 2. Let p(r) = -2*r**2 + 6*r + 3. Let b(m) = 6*j(m) + 5*p(m). Let l be b(2). What is the greatest common divisor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4185.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = -16, 0*q + 5*q = 3*g + 12. Suppose -v + 22 + 7 = q. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(1\/2))**(-6\/11))**(-29) assuming c is positive.\nAnswer: c**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 1 = -x. Let l = x - 10. Let v be ((-4)\/l)\/(2\/6). Solve v*u - y + 21 = -6*y, u + 2*y + 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is (-1937 - 4)\/(4 - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1264297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4815.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 121355156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3394*p - 54434. Determine z(16).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + (0 - 1) + -3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (14 + -12) - (12 + -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -354*o**2 + o. Let a(i) = 2*i. Give a(x(f)).\nAnswer: -708*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -329*i**2 - 82 + 161*i**2 - 2157 + 167*i**2 to the form p*i**2 + j + z*i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -f**6 + 6*f**2 - 31*f. Differentiate z(x) with respect to x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 4, z: 3}. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 90 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 52899 and 5007772.\nAnswer: 15023316","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -61266*o**2 + o + 3827656 wrt o?\nAnswer: -122532*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2399359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 PM and 3:21 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 719 a factor of 80203012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -71738748868 + -0.1?\nAnswer: -71738748868.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-4)*(-2)\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 7, y: 6}. Give prob of sequence eee.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 255*h = 2*b + 257*h + 14, -h + 11 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 517736720 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from hpypdhyzzddhy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 7*q = 33. Find the second derivative of 0*y + 5*y**5 - q*y - 13*y - 15*y**4 - 5*y wrt y.\nAnswer: 100*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 25*y**2 - 17*y. Let s(z) = 46 + 2*z - 3*z**2 - 46. Let w be ((-4)\/8)\/((-2)\/24). Let q(g) = w*x(g) + 51*s(g). Let j(o) = 3*o**2. Calculate q(j(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16, -26, -42, -64, -92?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5286904*n - 2643388*n - 2643479*n.\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 4*x + 4. Let l be r(-4). Differentiate -7*q**4 - 2 + 4*q**4 - 7*q**l with respect to q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.073 - 0.044. Let z = -0.011 - s. Let b = 0.96 - z. What is the closest to b in -2\/3, 5, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19)\/(76\/(-8)) + -7 - 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -3*x - 5. Let c(t) = -30*t - 31 + 22 + 24*t. Determine 5*c(p) - 9*u(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 12.27915123 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00786130235 to 5 decimal places.\nAnswer: 0.00786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 15\/71, -1330, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 9. Let c = 11 - w. Let i(d) be the second derivative of -d**4\/12 + 2*d**3\/3 + 3*d**2\/2 + 2327*d. What is i(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((h\/(h**(3\/2)\/h))\/h)\/h)\/h)\/((h*h**(-10\/3))\/h)*(h*h*h*h**34*h*h)**(2\/3))**(2\/13) assuming h is positive.\nAnswer: h**(161\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = f - 5. Suppose 4*a - 85 = -a - f*b, -3*a = 5*b - 57. Suppose 0 = d + t - a, 2*d - 40 = -2*t + 4*t. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 217527915*r**3*y**2 - 93*r**3 - r**2*y - 5*r**2 - 61*r + 119 wrt y.\nAnswer: 435055830*r**3*y - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1305 divided by 261.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -5 - 4 + 12 - 4*o + 113*o - 5. Let l(x) = -x. Determine l(a(s)).\nAnswer: -109*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3177280, -3177275, -3177270, -3177265, -3177260, -3177255?\n\"Answer: 5*s - 3177285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (0\/3)\/(8*3\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -9 - (-2 - (0 - -1)) - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5362 and 6894.\nAnswer: 48258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 3, t: 3, v: 4, e: 10}. Give prob of sequence tt.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -277632 and 0.07.\nAnswer: -19434.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -45 - -110. Let t = r + -61. Calculate the least common multiple of 6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**3 + 9*p**2 + 7*p + 5. Calculate the remainder when s(-6) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5719 is divided by 316?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 37127149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4166.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 2*r**2 - 67*r + 29. Suppose 0 = h, 0 = -224*b + 221*b - 2*h + 99. What is f(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of p**4\/12 - 5*p**3\/3 - p**2\/2 + 2123*p. What is m(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - -120155a?\nAnswer: 120155a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 4*j + 3*n, 4*j - 3*n + 3 + 49 = 0. Let b(h) = 31*h + 5. Let i(u) = 6*u + 1. Let r(w) = 2*b(w) - 11*i(w). List the prime factors of r(j).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = 2*r - 8, 36*k - 32*k = -5*r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -2*w + 3. Let m(i) = -i**2 + 3*i + 8. Let f be m(5). Let l be 71\/71 - 1*f. Determine y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 + (2 - 2) + -1. Suppose 2 + z = f. Factor 0*o**2 - 1\/5*o - 1\/5*o**5 + 0 + 0*o**4 + 2\/5*o**f.\nAnswer: -o*(o - 1)**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -402 (base 6) to base 8\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.16 + -6.16. Let t = 4046 - 4045.6. What is the second smallest value in t, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w + 3 - 2 + 6*w)*(8*w - 360 + 361 + 2*w)*(-1 + 1 + 1 + (0 - 3 + 4)*(-5 - 3 + 5)).\nAnswer: -80*w**2 - 28*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add 7.875114937 and -475.\nAnswer: -467.124885063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-4)*(30\/90)\/((-13)\/(-1872))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of -u**6\/6 - u**5 + 483*u**4\/4 + 2*u**3\/3 - 1541*u - 4794. Find the third derivative of z(s) wrt s.\nAnswer: -60*s**2 - 120*s + 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 14*j**4 - 18*j**4 + 4 - 116*j + 2*j**2 + 8*j**4 - 5*j**4 + j**3 in the form o*j**3 + t*j**4 + r*j + c*j**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -24 - 31. Let h = 53 + d. Put 5, 2\/17, 3, h in decreasing order.\nAnswer: 5, 3, 2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -417e78b + 4?\nAnswer: -417e787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 + 14*m**2 + 15*m + 38. Suppose 4*k - 55 = 3*c, -4*c + 6 = -3*k + 70. Give p(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 4005 = -3*g + 4015, 3*j - 358 = -91*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 t when four letters picked without replacement from tgtgzzztggttttzdtgtt?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -906*f + 10*f**2 + 298*f - 2 + 15*f**2 + 304*f + 304*f.\nAnswer: 25*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-18)*93\/248?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -0.073, -121, 1\/3, -17\/25 in increasing order.\nAnswer: -121, -17\/25, -0.073, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 26, 17\/95, -0.4, -0.5, -15?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2030 (base 11) to base 5\nAnswer: -41240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/12)\/(-1)*(-28650)\/(-1910)*8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 3 = -2*m. Suppose -d + m*r + 14 = 0, -3*r = -3*d + r + 34. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -68*i**2 - 9*i - 10. Let j be y(-2). Let x = j - -1001. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 157862716 by 8308564.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(135)\/(sqrt(9) - sqrt(9)*-3))\/((sqrt(75) - sqrt(3))*-3).\nAnswer: -sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -4083.549 * 2\nAnswer: -8167.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -4, c + c = 5*s - 337. What is the remainder when s is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.042 + -9.358. What is k rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from fgeih?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 5*x**3 + 26*x**2 + 5*x + 3. Let n be b(-5). Suppose -5*j = -36 - 9. Is (32\/n)\/(3\/j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/((5\/(-5))\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -c31 + -69fd?\nAnswer: -762e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -6\/7 - 2\/7*y**2 + 2\/7*y**3 - 10\/7*y = 0. Calculate y.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 2*w + 48. Let j be p(-24). Suppose j = 6*v - 0*v + 492. What is the hundreds digit of 2\/(-4)*v*(1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 18 in 5\/7, -4, 0.2?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-3 + -6*((0 + sqrt(19))*6 - (sqrt(228)*-2)\/sqrt(12)))**2.\nAnswer: 1152*sqrt(19) + 175140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 75627637?\nAnswer: 5801, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 PM and 2:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8618748 and 7900519.\nAnswer: 94806228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13 - 5. Let n(x) = x**2 + 7*x + 1. Let v be n(-6). Let p(s) = -2*s - 4. Calculate the smallest common multiple of p(v) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/7 (b) 8 (c) 0 (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 3*o**2 - 5*o**2 + 0*o**2 + o**2 - 3*o. Give p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v**4 - 734*v**3 + 74296*v**2 - 1240744*v - 1315776 = 0.\nAnswer: -1, 22, 168, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 663078*y**2 + 755023*y?\nAnswer: 1326156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 15*f - 4 + 2 + 0 + 2 + (0 - 18 - 3)*(0 + 0 + 2*f).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:13 PM and 9:04 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.1 - 3.9. Let d = -0.29 + 1.29. Suppose 6*w + 7 = 31. What is the third smallest value in z, d, 3\/2, w?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-5*(-1 + (sqrt(44)\/sqrt(16) + -3 + sqrt(11)*-2 + 2 + -2*sqrt(176))**2 + 5).\nAnswer: -59865\/2 - 570*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 + 5*z**2 + 3*z + 21. Let f be u(6). Is (1 - 117)*(f\/(-6) + 0) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -18.0048 - -18. What is v rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14 + 20. Let d(u) = u**2 - 6*u - 4. Let j be d(z). Which is the third biggest value? (a) 0.2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/10)\/(-1 + (-232)\/(-192))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 14*q**2 - 12*q - 2. Let v(m) = m**3 - 15*m**2 - 12*m - 2. Let i(h) = -4*n(h) + 3*v(h). Let k be i(12). Solve -2*s + k = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/77)\/(2\/((1638\/27)\/(-26))).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6352056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 68562654 rounded to the nearest one hundred thousand?\nAnswer: 68600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1170259.\nAnswer: 107, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45608290.\nAnswer: 2, 5, 7, 13, 50119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -269910, -539820, -809730, -1079640, -1349550?\nAnswer: -1619460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/54 and (50 - 56) + 134\/4?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 7*p = -284. Let b = 487 - p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 323, 370, 449, 560, 703?\n\"Answer: 16*u**2 - u + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5107 + 3?\nAnswer: 510a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275)*1*2)**2 - ((sqrt(275) - (-4 + -3*sqrt(275) + sqrt(275) - sqrt(275)))**2 + sqrt(275)).\nAnswer: -3316 - 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4.88 (b) -6 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 69384 (base 11) in base 15?\nAnswer: 1eaa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -12*k. Let c(l) = 59*l**2. Calculate c(r(m)).\nAnswer: 8496*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*o + 36*o - 100. Suppose 3*t**2 + 4*t - t**5 + 7*t**4 + 88*t**3 - 7*t**2 - 91*t**3 - 3*t**o = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7430843 kilograms in micrograms?\nAnswer: 743084300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -3 - 4 + 4*q + 5. Suppose -3*z - 3 + 12 = 0. Is 7 a factor of a(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 5 + 4 + (4 - 2 - 3)*(0 - 1 + 0) - 1 + 1 - 1)*(6*y**3 - 2*y**5 - 6*y**3).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1713.19999938516 - -1713.2. What is d rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20*50\/(-2000)*2\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.06980995 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 + 4*j**2 - 4. Give x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2070622309 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (33\/(6 + 5))\/(3\/4). Find the third derivative of -1 - 9*h**3 + 9*h**y + 3 - 1 - 3*h**2 + 5*h**3 wrt h.\nAnswer: 216*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*w**2 + 8 - 8 - w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -50 (base 13) to base 4\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3\/25687, -0.3, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (184\/(-168) - -1)\/(((-14136)\/266)\/(-6))?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 5*d - 2. Let n(x) = -2*x + 7. Let g(o) = -2*o + 6. Let i(f) = -6*g(f) + 5*n(f). Determine 3*a(w) - 8*i(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/537? (a) -1347 (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 3 - 1 = 0. Suppose -4*q = j + 2 + r, -36 = -3*j + 3*q. Calculate the lowest common multiple of j and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 461786480 divided by 548440?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 372 and 2?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**2 + 34*a + 91. Give g(37).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/20)\/(600\/20000)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a + 1279b86?\nAnswer: 1279b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2204 and 812.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75943 is divided by 173.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -29321*w + 20525*w - 5315 + 14522*w with respect to w.\nAnswer: 5726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 116628651 to the power of 1\/2, to the nearest integer?\nAnswer: 10799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the first derivative of -47*n + 1\/2*n**2 + 5*n**3 - 22. What is the first derivative of s(l) wrt l?\nAnswer: 30*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-290)\/18 - ((-4)\/15)\/((-1836)\/(-765)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*v + 175 = 121 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-32)\/(-6) + 1\/(-3). Suppose -5*m = -3*c - 593, -3*m + 6*m - 343 = b*c. Let k = m - 82. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - -2. Suppose o = 2*o - 15. Calculate the remainder when o is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -88 + 126 + 93 - 32*n.\nAnswer: -32*n + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 258438*0.2.\nAnswer: 51687.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5500 divided by 55.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 517 is divided by 255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 6*l + 33. Let i be a(-5). Let y be (0 + -3 + i)\/3. Is -15\/14 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -82 by 2455650.\nAnswer: -41\/1227825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -39419, -39197, -38975?\nAnswer: -38753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3219378828.\nAnswer: 2, 3, 1259, 213091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 136\/204*(-4)\/(96\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 137791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 5602*o - 13577*o + 5141*o in the form k + n*o and give n.\nAnswer: -2834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -94, -121, -174, -253?\n\"Answer: -13*m**2 + 12*m - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 5 (b) 2\/11 (c) 0.281 (d) 2\/17 (e) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2\/5))**(1\/26)\/(x**4*x**(-2)))**(-7) assuming x is positive.\nAnswer: x**(917\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 14*a**2 - 39*a + 30. Let s be m(18). Let r = s - 100. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -22.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 501 minutes after 8:25 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -60 - -59. What is the units digit of ((-64)\/10)\/((-52)\/50 - c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 3*k - 5*k. Suppose 3*d = a + 4, -8*d + 3 = -7*d. Suppose -a*n + 34*f = 29*f - 15, 0 = 5*n - f - 11. Solve 2 = -n*j + k*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 74620 by 70.\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(70)\/(sqrt(10) + (1*sqrt(90))\/sqrt(9)) + 5)*-2)**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -70\/13, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(3\/4))**(-1\/10) assuming m is positive.\nAnswer: m**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 2*v - 8328, -w + 3*v = 4*w - 20804. Let g = w + -2762. Round g to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24198082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -85762 and 530 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 3, g: 1}. What is prob of sequence gjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = x**3 + 25*x**2 + 3*x + 146. What is h(-25)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9835 and 13182834.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = z - 38, -k + 6*k = -4*z + 143. Let t be -9*z*2\/(-60). Determine u so that 16\/5*u**3 + 44\/5*u**2 + 18\/5 + t*u + 2\/5*u**4 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 43 + -36. Let m(t) = -t - 3. Let r be m(-6). Factor -l**2 - v*l**2 + 7*l**2 + l + 1 - l**r.\nAnswer: -(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1291766 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 125 - 32 = 0. Suppose l = 3*s - 11. Suppose -4*c + 366 = 5*a, 0*a + 3*a + c - 214 = 0. Calculate the highest common factor of a and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -992, -4 in descending order.\nAnswer: 5, -4, -992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 18 = 4*q + 2*v, -3*q + 26 = 4*v. Let l(h) = -h**3 - h**2 + 3*h - 1. Give l(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (42*19\/(-4))\/(37 - -170) and 11\/16?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/9 + 15568*s\/9 - 1730.\nAnswer: 2*(s - 1)*(s + 7785)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/3*8\/32)\/(4\/1)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of k**3\/6 - 3*k**2\/2 + 7*k + 2. Let z(m) be the first derivative of h(m). What is z(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/(450\/36)*22\/(-264)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -154 = -i - 0*i. Suppose -5*f - 24 = -i. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -3 (b) -58.81 (c) 5 (d) -3\/13 (e) -2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 335 and 9179?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 19270\nAnswer: 1\/19270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (3 + -5) - 143\/169?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 4*k + 3. Suppose -v + k = -0*v. Find the third derivative of -28*i**2 - 5*i**v + 23*i**2 + 0*i + 0*i wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5961478.\nAnswer: 2, 19, 59, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 4*j + 7 - 5*j - 2*j. Is h(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -45457 + 5899. Let d = 56558 + k. What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120 = -12*x - 0*x. Differentiate -5 - 14 - 22 + 8*s + x with respect to s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -602 - 4*v**2 + 5*v**2 + 591. Let a be u(4). Solve a = z, 0 = 4*y - y + 5*z - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 + -11. Let b be (6\/4)\/(6\/20). Let m = r + b. Sort 4, 5, m in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*x**3 + 3 + 4 - 2*x**3 + 2*x - 2 in the form y*x + p*x**2 + m*x**3 + n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 AM and 12:27 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 c, and 1 o when three letters picked without replacement from {l: 2, u: 2, c: 1, t: 9, i: 2, o: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2960336 and 16224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + x = -5, 0*x - 4 = 4*x. Suppose 3*z = -4*w + 7*z + 40, 4*w = -2*z + 28. What is the greatest common factor of l and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*o + 527 = 21*o + 27*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 101783 divided by -209\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x + 12, -5*m - x + 193 + 91 = 0. Calculate the least common multiple of 12 and m.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 at least as big as 2\/2657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2423, -4846, -7289, -9764, -12283, -14858?\n\"Answer: -2*o**3 + 2*o**2 - 2415*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*y - d + 1, -2*y = 4*d - 12. Let l = -1964075\/9 + 218611. Let c = 380 - l. Is c greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 191046 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.128, 5.2, 12\/2195?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**2 - 3*u + 15*u - 169*u - 1)*(-2*u + 3 - 3).\nAnswer: 2*u**3 + 314*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9995983? (a) 2\/19 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/(-64)*(-19)\/((-684)\/1264) and -9\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -53*n - 74*n + 4 - 62*n + 190*n + 0. Let y = 21 - 30. Calculate z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -15*p**3 - 168*p + 132. Let x(y) = y**3 + 4*y**2 + y + 1. Let v(b) = -j(b) - 12*x(b). Factor v(s).\nAnswer: 3*(s - 12)*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((o*o\/(o\/o**(-2\/39))*o)\/o)\/o)\/o)\/((o\/o**1*o*o)\/o))\/(o*o**(1\/5)*(o\/(o**7*o))\/o) assuming o is positive.\nAnswer: o**(926\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22019 and 5221.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (6*q**2 - 3*q**2 - q**2)*(490 + 4*q + 502 - 2*q**2 - 958) in the form f + z*q + r*q**3 + x*q**2 + w*q**4 and give x.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the first derivative of -13*i**7\/7 + i**4\/2 - 113*i**3\/3 + i**2\/2 - 29. What is the third derivative of h(z) wrt z?\nAnswer: -1560*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -180, -181, -182, -183, -184?\n\"Answer: -k - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = 2*s + 2, 3*k - 2*s + 10 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11 + 15. Let t(b) = -b**2 - 16*b - 9. Let u be t(-7). Suppose -d*p + u = -58. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47546?\nAnswer: 2, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (3\/9*14)\/(10\/15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/4, 25, -12?\nAnswer: -12","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 bztbbbbzzzzzzbzzzbbz.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-62 - 58 - 80)*(2*b**4 - 4 + 4).\nAnswer: -400*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (48 - 65) + -147 + 78?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -38553, -76754, -114955, -153156?\nAnswer: -191357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**3 - m**2 + 6*m - 34. Let y be q(3). Let v(g) = g**2 - 3*g - 2. Let u be v(4). Solve 3*o - 6 = 0, -u*l - o + 2 = y*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 364259 (base 10) to base 6\nAnswer: 11450215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 4*j - 2*j. Suppose 40 = 2*y - 7*y - 5*b, -j*y = -4*b + 13. Let r be -5 + (3 + 0 - 2). Is r < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 10*q = -668. Let d = q + 212. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - 0)\/((-1)\/(-5)). Let u = c + 7. Suppose -u*y - y = -23700000. Round y to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 9*s**3 - s**2 + 4*s - 6. Let i be z(2). What is the highest common factor of 224 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 6*o**2 + 98*o - 54. Calculate the remainder when s(-17) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 28\/369 and 121\/11070.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pzp when three letters picked without replacement from bpbbzzppjzbpppbppp?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17606*0.5.\nAnswer: -8803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5092816*l**3*u**2 + 24*l**2*u - l**2 + u**2 - 571*u - 73 wrt l?\nAnswer: 30556896*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kcz when three letters picked without replacement from {z: 1, n: 1, h: 1, c: 1, k: 9, o: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1495733891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -595.31 - -590. Let r = 10.69 - l. Let s = 3 + -2.5. Sort r, 5, s.\nAnswer: s, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 92701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.07 and 690.64.\nAnswer: 48.3448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 56 = 13*r. Which is the smallest value? (a) r (b) -1\/4 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100102 - -1001202212101?\nAnswer: 1001202111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6664\/(-20825))\/((-24)\/36)?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 + 14*v**2 + 29*v - 27. What are the prime factors of a(15)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 5, m: 5, e: 1, a: 6, h: 2}. What is prob of picking 1 h and 1 e?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -5*w - 1. Let i = -19 + 9. Let y be q(i). Let k = -28 + y. Solve -3*x + 5*a - k = 0, 5*x = 4*x - 2*a + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (3 - 6) + (-59224)\/(-3 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -106\/7 - -108\/7. Sort 0.03, r, 0.4 in increasing order.\nAnswer: 0.03, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -55 - -56. Is z\/((-52292)\/8716 - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 65801448 divided by 1329.\nAnswer: 49512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -1247*f - 31. Let s be i(-1). Calculate the highest common divisor of s and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*p + 602 = 1399 + 2812 + 807 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 198\/(-220)*(-8)\/18. What is the smallest value in -2, 1\/5, 2369, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 - -1. Let a = -5 + 7. What is the third derivative of -l*i**4 + 0*i**2 - i**a + 5*i**4 wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 209600545.\nAnswer: 5, 7, 11, 29, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 - -2. Let y = 0.07 - 0.77. Let g = y - -0.5. What is the closest to 0 in g, x, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 12243 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8866 - 8879. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 2*q**4 + 3 + 0*q**4 + 2*q**4 + q**4 - q**4 + 0*q**4 + 2*q**4 + (-2*q**3 - 1 + 1)*(3 - 2*q - 3).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is n in 4*n**5 + 4332*n**4 + 1162172*n**3 - 117180*n**2 - 31615488*n - 62763120 = 0?\nAnswer: -593, -490, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in 0.26, -8, -0.5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1098 - -1100. Solve 5*t = 4*h - 37, -r*h + 4*t = -2 - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:19 PM and 7:30 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 5*z - 3. Suppose -6*x + 17 = -1. Let p be h(x). Solve -p = 3*c - 0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (10 + (-4972)\/495)*-9. What is the closest to 1 in -2\/19, 10, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wkkkkwvkkkkwzwaxk. What is prob of picking 1 w and 1 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 132000 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*o - 57*o - 74*o + 283*o - 44*o - 50*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 355 is divided by 109?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -220, -219, -242, -301, -408?\n\"Answer: -2*z**3 + 15*z - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 - 3*f**2 - 3*f - 1. Let s be p(4). Let i be 70\/21*((-87)\/(-5) + 3). Suppose s*k + i = 5*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.4 and -14900.5?\nAnswer: -5960.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 2)*(2 - 3 - 2 - z)*(-1 + 5 - 2).\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + f - 8 = 0, -5 + 25 = 2*r + 4*f. Suppose 104 + 22 = 4*b - r*m, -5*m = 2*b - 33. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:26 PM and 4:42 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0\/(3\/6*-4). Let u = 533.02 + -533. Which is the closest to m? (a) -1\/3 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1920*b**3\/11 - 166*b**2\/11 = 0. What is b?\nAnswer: -83\/960, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 2*q + 91 = 0, 34*u + q = 39*u - 169. What is the remainder when u is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 33822*d*x + 1083*x + 14 wrt d?\nAnswer: 33822*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*f**3 - 32*f**2 - 80*f - 64.\nAnswer: -4*(f + 2)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 14\/5 + 1\/5. Suppose s = p*s. Solve 0*g + 10 = g - y, 4*g - y - 25 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(4\/7)\/c*c**(-5)*c)**(-1\/57) assuming c is positive.\nAnswer: c**(31\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(77)\/((5*sqrt(33))\/sqrt(3)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -202.1 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 6*k + 2. Let j(q) = -q. Let x be j(2). Calculate v(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3327*n + 3005*n = 1343*n + 499*n - 246950 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-n - n + n)*(13 - 1 + 6)*(1 + 1 - 4).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -3*y**2 + 2*y**2 - 2*y + 0*y + 6*y + 1. Determine x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**2 - 10. Calculate k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2465\/16276 + 3\/1252. Which is the closest to -9? (a) 0.5 (b) 10 (c) p (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3240679.\nAnswer: 13, 109, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 22*q - 354. Calculate u(15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 16. Suppose -t*z = -10 + 4. Suppose 0*c - c = z*a - 19, 2*c - 2*a - 14 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 58957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1901389881 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55000 is divided by 1288?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -635*u + 631*u + 32*c + 104, -3*u - 5*c - 38 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 - -1)\/(9\/15). Let z = o + -3. Suppose 0 = 2*j - 2*l - 2*l - 20, l = -2*j. Calculate the remainder when j is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*p**2 - 25 + 25 - 43*p**2 + 8*p**2.\nAnswer: -93*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-8)\/(-6))\/(24\/324). Calculate the highest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/8)\/(-5*1\/30)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -111.1 and 124.\nAnswer: -13776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 1*sqrt(275)*-4)**2.\nAnswer: -200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*z**4 + z**4 + z**4 + (4*z - 4*z + z**3)*(-z + 5*z - 3*z) + 9*z**4 + z**4 + 12*z**4.\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 784 - 787. What is the third biggest value in -3\/2, o, -0.39?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16165200 (base 10) in base 16?\nAnswer: f6a950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ouuuuuouuuu. Give prob of picking 1 o and 2 u.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 + y + 1248. Let o be x(0). Let f = o - -240. Let h = 2288 - f. Round h to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69218329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z + 10. Let a(r) = 29. Let u(d) = d - 87. Suppose 13 = 6*o - 5. Let n(i) = o*u(i) + 8*a(i). What is -17*m(f) - 6*n(f)?\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 21205\/37 or 573?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**3 + a**2 + a. Let g(v) = 2*v**3 - 3863*v - 3*v**2 + 3862*v + 3 - 2. What is 3*d(r) + g(r)?\nAnswer: -r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 383*i**2 + 83*i + 6. What is the tens digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**2 + p**2 - p**2)*(0*p + 0*p - 2*p**2)*(25*p + 14*p - 12*p).\nAnswer: 108*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 95 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 153782995?\nAnswer: 5, 30756599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 310.\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - (-42)\/(-9))*-3. Let y = 2 + v. Calculate the remainder when y is divided by (0 - 4)*14\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -52 - (26 - 62) - 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, 34, -5, -2, -8 in descending order.\nAnswer: 34, 13, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -2*l**3 - 76*l**2 - 15*l. Is x(-38) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5382, 4, -24081?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 232595026973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - (-3 - -6) - -2) + (-26 - -31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 7*z**2 - 39*z + 3. Let p(t) = 16*t**2 - 91*t + 7. Let w(f) = -7*g(f) + 3*p(f). Let j(i) = 49*i + 6. Calculate j(w(m)).\nAnswer: -49*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -8962 * -7.009.\nAnswer: 62814.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**3\/4 + 192*a**2 - 29337*a\/4 - 5929\/2.\nAnswer: -(a - 77)**2*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1977 and (-2180)\/(-104) - (-42)\/1092?\nAnswer: 13839","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 247611 (base 12) to base 16.\nAnswer: 90ead","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37564903?\nAnswer: 37564903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 + 20*j - 5. Let x be c(-20). Put -1, x, 4, 0 in decreasing order.\nAnswer: 4, 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3075275 is divided by 439321.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kjjjjjjjkj. What is prob of sequence kk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 45, -88, 5, 4, -2, 75, -1 in increasing order.\nAnswer: -88, -2, -1, 4, 5, 45, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the third derivative of -u**2 + 0*u**3 - 1\/20*u**5 + 0*u**4 + 0*u + 2. Let t(z) = 2*z + 3. Determine t(s(a)).\nAnswer: -6*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -453*w + 452*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.0832 - -2.0832. Which is the closest to 2? (a) f (b) 26 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-4)*-6*8\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.9? (a) 5\/6 (b) -5.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h + 10 - 3*h + 2276*h**3 - 10 - 1170*h**3 - 1108*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 - 4. Let j = -8 + v. What is the second smallest value in -0.5, -3, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42 and 12614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 11:08 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 4.513 and -375789.21316?\nAnswer: 375793.72616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -817\/20 + 198\/5. What is the biggest value in d, 6\/11, 0?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 + 13. Let z = -24 + p. Let a(l) = l + 4. Let d be a(-4). Which is greater: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 5*x - 60. Calculate the smallest common multiple of x and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1160138 not equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -6*n - 255. Give c(-40).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**11*w*w*w**(2\/11)*w*w)**(-1\/29))**(-1\/18) assuming w is positive.\nAnswer: w**(167\/5742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1955 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 207329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - -220?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) -337 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 393 - 390. Solve 4*k - 18 = 2*s - 4*s, 0 = -k + m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 611 * -0.4.\nAnswer: -244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -167 + 5771b?\nAnswer: 57584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4851771 is divided by 233.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -3*b - 4*b**2 + 0*b + 2*b**2 - 1 + 2*b. Give d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the third derivative of -z**6\/900 - z**5\/100 + z**4\/15 - 79*z**3\/6 + z**2 - 15. Let u(n) be the first derivative of k(n). Factor u(s).\nAnswer: -2*(s - 1)*(s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 81.05576g in micrograms?\nAnswer: 81055760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 172 and 13408.\nAnswer: 576544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(1\/2)*a)\/a**7)\/((a*a**0)\/a)**(-18) assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16065962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.14764 and -0.2?\nAnswer: -0.029528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**2 + 329*j - 5304. Give d(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/(-2)*((-28)\/6)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 2)*(-2*a + 0*a + 0*a) - 5 + 5 + a + a + 0*a - 3*a - 27*a - 32*a - 22*a - 14*a.\nAnswer: -98*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -686976 at least as big as -686909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 926607 and 65274?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of -m**9\/1890 + m**8\/336 - m**7\/315 - 20*m**4\/3 - 20*m. Let l(o) be the third derivative of t(o). Factor l(n).\nAnswer: -4*n**2*(n - 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 189, 378, 567, 756?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 105 = 5*d, -2*d + 5*a - 7 + 0 = 0. Calculate the common denominator of (-3)\/2*244\/126 and 781\/(-231) + (d\/(-4) - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -5*h + 65. Give r(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 11502532 + 103?\nAnswer: 11503035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -2*s**2 + 5*s - 5. Let t = 7151 - 7148. Let k(f) = 2*f**2 - 5*f + 4. Calculate t*k(p) + 2*j(p).\nAnswer: 2*p**2 - 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -151.4 + 153.4. Let p = 1.5 - -7.5. Let x = p - 4. Put h, -2, x in ascending order.\nAnswer: -2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-224)\/98)\/(2\/7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/96*(-17)\/(119\/(-798))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + s - 4*s = -3, 3 = -2*f - 3*s. Does 47 divide (-2 - f) + 3 - (-262 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 316*o + 396?\nAnswer: 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 13613 - 22334. Does 22 divide 1\/2 - (h\/2)\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 50 - 73. Let z = -18 - p. Solve c = w, 0 = 2*w - z*c - 1 - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1280330981 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(2\/11)\/w**9)**(5\/6)*((w**(1\/5))**(-5\/17))**(4\/39) assuming w is positive.\nAnswer: w**(-107273\/14586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 28*k - 21. Let r be t(4). Let u = r + -71. Calculate the lowest common multiple of 90 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -252544383 divided by -23751?\nAnswer: 10633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -12. Suppose -n - 5 - j = -v, 0 = -3*v - n + 26. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in thirty-one fifths of a millimeter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5518 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - d + 2 = 2*j, 4*d = 4*j + 16. Let n(i) = -960*i**3 - i**2 - 2*i - 1. Let c be n(j). What is c rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11.15 + -9.15. Which is the closest to 4\/11? (a) 2\/21 (b) u (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -20*x - 139. Let l be v(-11). Suppose -2*q - 15 = 27. Let w = q + l. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6368?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 4*c + 14. Let x be s(-4). Let t be 39 + (-2 + 2)\/x. Suppose -3*d + t + 3 = 0. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -46539 < -46655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 8:32 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.6 - -2.4. Suppose 4*y = 3*w + 2*y + 10, -3*w - 15 = 3*y. Let s = -5 - -7. Which is the third smallest value? (a) s (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.0543613 from 0.325.\nAnswer: 0.2706387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 - -3. Suppose 5*t - 3*z - 1820 = -l*z, 0 = 2*t + 5*z - 697. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 + 5*n + 2. Let b be o(5). Let y(i) = -6*i**2 - 27*i - 317. Let f be y(-9). Let l = 582 + f. Solve 3*w + l = -b*g - 3, -5*g - 30 = w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/(-35)*((-82)\/(-9) + 4\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4815 + -4817. Which is the fourth smallest value? (a) 77 (b) t (c) 1 (d) -1\/3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + 8*k**2 - k - 10. Let s be j(-8). Let b be (-42)\/4*(s + 0). Let t be 0 - ((-1)\/1 + 1). Solve i + l + 3*l + b = t, 5*l + 25 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*z - 5*z = -1680. What is the greatest common factor of z and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 121 and 364740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.11? (a) 4\/3 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**3 + 108*v**2 - 427*v + 1150. Give b(104).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006334393 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -1068 - 1407 = -275*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.059 + 5871?\nAnswer: 5871.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -41 (base 15) in base 5?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -141*m + 75*m + 61*m + 18, -4*g = 5*m + 47 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(208) + sqrt(208) + -1)**2.\nAnswer: -16*sqrt(13) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/((-63)\/(-14) - 67\/4))\/(15\/(-105)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -2*m**3 + 4*m**2 - 2*m + 1. Let r(p) = 2*p**3 + 16*p**2 + 6. Let k be r(-8). Suppose 9 + k = 5*f. What is n(f)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1621*x**3*y - 2*x**3 - 2113*x*y + 3*y - 131095580 wrt y?\nAnswer: -1621*x**3 - 2113*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -5450*s + 158056. Determine m(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -47.1 - -37.1. What is the biggest value in u, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 - -13422012?\nAnswer: 13422003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -196 (base 11) in base 15?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -6*m**4 + 48*m**3 - 50*m + 15 - 9*m**4 + 2*m**3 = 0. What is m?\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -2*s - 4. Let n(v) = 12*v - 838. Calculate -n(r) - 8*z(r).\nAnswer: 4*r + 870","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*w**4 - w**4 - 2*w**4 + (3 - 1 + 0)*(3*w**4 - 11*w**4 - w**4).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {r: 4, g: 1, s: 6, n: 1, d: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 69998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 + -5. Suppose -5*z = 3*v + 106, v + 3*z + 0*z + 30 = 0. Let s = t - v. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 22043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be (276\/(-2277))\/((-42)\/11 + 4). Let k be (4\/27)\/(8\/(-12)). Suppose 2*r - 8 = 8. Sort r, -2\/17, k, c in increasing order.\nAnswer: c, k, -2\/17, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/18 - (-976)\/144. Suppose -2*s - y = -39. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -0*k - 2*k. Suppose 0 = f - k*f - 116. Let o = -12 - f. Calculate the remainder when 31 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 466, 932, 1398, 1864, 2330, 2796?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -786 + 25*j + 792 - 1594 - 27*j + 797 + 791.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 147994?\nAnswer: 2, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 163 = 8*w - 5. Is (-70)\/w*237\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 840 = -5*d, 4*d + 420 = -13*b + 11*b. Is b*(1 + (-5)\/2) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - 10*l**2 - 19*l - 19. Let y be i(-8). Solve -y*c - 2*t = 31, c + 5*t - 3*t = -11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:20 AM and 2:04 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 32*u + 36*u + 33*u**2 - 24*u**2 - 13*u**2.\nAnswer: -4*u*(u - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -3*z**2 + 49*z - 7. Is f(14) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 8*w + 3*n - 27, 23 = w + 5*n. Find the third derivative of 30*a**2 - 22*a**3 - 6*a**2 - 12*a**3 - 11*a**w wrt a.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -32\/3, -0.2, 3\/5, 5 in decreasing order.\nAnswer: 5, 3\/5, -0.2, -32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 26 + -18. Let c be d\/(-28) + 24\/(-14). What is the units digit of c + (1 - -9) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the second derivative of -6*j + 0*j**2 + 1\/120*j**6 - 1\/48*j**4 - 1\/160*j**5 + 1\/48*j**3 + 0. Determine o, given that f(o) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and -7.38.\nAnswer: 2.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*v - 4*g, -4*v - 3*g = -4*g - 20. Suppose v*t = t + 5. Let m be 275\/(t\/(-12000) - 0). Round m to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -10408967+-286\nAnswer: -10409253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -854466, -1708932, -2563398?\nAnswer: -3417864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 3*y**3 + 14*y**2 - 20*y + 545. List the prime factors of g(20).\nAnswer: 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 52358 or 628279\/12?\nAnswer: 52358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5*(-128)\/240)\/8)\/(1\/(-48))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - 2)\/(305 + -287). What is b in 3\/2*b - 3*b**5 + 3\/2*b**2 + r - 15\/2*b**4 - 9\/2*b**3 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (-16 + (-1634)\/43).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 12:16 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**6\/72 - n**4\/6 - 5*n**3\/6 - 144*n**2. Let r(f) be the second derivative of c(f). Let g(u) = -7*u**2. Calculate r(g(i)).\nAnswer: -70*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/192 and 133\/463560.\nAnswer: 3708480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = -2*s - 2*s. Let b = -9 + s. Is b bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0517 * 1719.\nAnswer: 88.8723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of b**3*m**3*r + 8158*b**3*m**3 + 9635*b**3 + 9*b**2*r - b**2 - 1143*b*m**3*r + 24*b*m*r + 19 wrt b?\nAnswer: 6*m**3*r + 48948*m**3 + 57810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oogogppgpoo. Give prob of sequence go.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 20 - 10 = 0. Does 2 divide (-45)\/i*6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**(-4\/11)*u)\/u**15)**37)**(-2\/11) assuming u is positive.\nAnswer: u**(11692\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 1, j: 1, c: 2, k: 2, s: 1, p: 1}. Give prob of sequence cj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -4*p**2. Let r(f) be the second derivative of -25*f**3\/3 - 90*f. Calculate c(r(x)).\nAnswer: -10000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-15))\/((-3)\/3450*-23)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -3795\/2467?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 65 - 79 = 4*v, k = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 57 + -24. Calculate the greatest common divisor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the first derivative of p**4\/4 - p**2\/2 - p + 2. Let f be u(-1). Let k(x) = -7*x**3 + x**2 - x - 1. What is the units digit of k(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -27*(15 + -4) - -3. Let v be (-322)\/q + (-3)\/7. Is v < -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) -3 (c) 0.07291 (d) -1\/8 (e) 2 (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 7 times 5.3\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1281 + -1277. Suppose 15 = 8*s - 9. Let d(u) = -u**3 - u + 5. Let b be d(0). Solve l*m + b = -s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes before 7:55 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2060306 - 2060450 = -16*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 783*c**4 - 342*c**4 + c - 2*c**5 - 522 + 897*c**4 + 1770 + c**3 + 490*c**4 wrt c.\nAnswer: -40*c**3 + 21936*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 68814 (base 14) to base 6.\nAnswer: 5240030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 5, x: 7, h: 7}. Give prob of picking 1 x and 1 h.\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1414, -1946, -2840, -4102, -5738?\n\"Answer: -u**3 - 175*u**2 - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -2 + 2 + (3 + sqrt(539))**2 + 3 + 5*(-2 + (sqrt(539) - 3*sqrt(539)) + sqrt(539)).\nAnswer: 7*sqrt(11) + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -17*i**2 - 5*i - 5. Let r(v) = v**2 - v - 1. What is m(g) - 5*r(g)?\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 280*k**2 + 266*k**2 + 264*k**2 + 269*k**2 - 1060*k**2.\nAnswer: 19*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1652 and 2176510?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3 (b) 4 (c) 1 (d) 5\/7983\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from smmmmmmmmmmmmmmmmmm. What is prob of sequence smmm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 50*i - 192. Determine g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**3)**(-19))**(1\/7)\/(o\/(o**(1\/6)\/o)*(o\/(o**(2\/17)\/o*o))\/o*(o**0)**(1\/8)) assuming o is positive.\nAnswer: o**(2651\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.466406441 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -906, 1, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 5 + 2 + (1 - (3 + -2)) + 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.05, 5, -0.18, 0, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -23179535.\nAnswer: 1\/4635907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be 190\/28 - 6 - (-2)\/(-7). Let j be (-3*120\/864)\/(15\/(-24)). Let r + 1\/6*y**2 - j*y = 0. Calculate y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2847066 greater than 2847043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 4) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:11 PM and 9:46 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 - 5230?\nAnswer: -5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -4*q**3 - 2*q**2 + 1. Let g be n(-1). Let o = -2 - -7. Let w = o - g. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -12552.\nAnswer: -1255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.8 - 0.69. Let z = -4.11 + f. What is the third biggest value in 2\/7, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/11? (a) -2 (b) -5 (c) 1\/489 (d) 1\/271 (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 133601 + 3?\nAnswer: 133604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 52 + -366\/7. Which is the closest to 0.2? (a) -0.4 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -443 (c) -5 (d) -3\/62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -2) + 8 - -9 - 33.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34, -218, -524, -952, -1502, -2174?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 26464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply 21581 and -0.0738.\nAnswer: -1592.6778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1896718 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 8, 1, -41 in increasing order.\nAnswer: -41, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*y + 30 = -14*y. Suppose y*d - 2 = 0, 0 = 5*z - 7*z + 3*d + 3. Solve -v - 2*k = 2*v + 4, z*v - 5*k = 31 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * 258786183.\nAnswer: 103514473.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-61 - -12) + (-13 - -26 - 1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1118 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -11*d**4 + 2*d + 152.\nAnswer: -44*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3 - (7 - 2))\/(-2). Suppose 0*m - 2*s = g*m - 120, -4*m - 4*s + 112 = 0. Let w = m + -13. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 5, -3, 4, 14\/165?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (4 - (4 + 1)) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 725854 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-835 - 610*q**2 - 2*q + 835)*(q**2 - 3*q**2 - q**2) in the form c*q**2 + x + r*q + g*q**3 + t*q**4 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 544359.6ms to hours.\nAnswer: 0.151211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -322222111011 + -1?\nAnswer: -322222111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 4 = 3*p - 5*p, -3*p + 3 = 0. Let b be (-615)\/45 - 2*l\/6. Suppose 4*d + 5 = -3. Put 1, b, d in increasing order.\nAnswer: b, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1603 + 1603. Let v be 7\/4*(0 - -4). Let q be 2 - r - (8 - v). Let l(m) = -7*m**3 - m**2 + m - 1. Determine l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -112*g + 112*g + 3*g**2. Let n(o) = 4*o**2. Give n(a(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/4*w**2 + 66 - 35\/4*w.\nAnswer: (w - 24)*(w - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -21655025 - 1?\nAnswer: -21655026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -171046 + -21209.05.\nAnswer: -192255.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + r + 46 = 0, -t - 34 = -2*t + 5*r. Suppose -1 = 5*j + t. Let q(z) = z**2 + 0*z**2 - 2*z**2 + 4 + 2*z. Calculate q(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 303 and 162004?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-8)\/(-14))\/((-6)\/21). Let q be 1\/c + (-7)\/(-2). Solve 0 = -w - q*w + 2*y - 24, 5*w + y + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -35\/3035923 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (0 + -4 + -3) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (6 + (5 - 6) - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 15*x + 89. Let n(w) = 3. Let o(s) = -i(s) - 5*n(s). Let a be o(-7). Solve 3*h + 5 - a = 2*j, 3*h = -j - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29*g**2 - 9 + 16 - 7 to u*g + x*g**2 + n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/415458 and 50\/51493711?\nAnswer: 926886798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -4*y - 5. Let l be z(-8). Let m = l + -31. Let w be (-8)\/m - (2 + -4). Solve -w*k = 3*n + 26, 2*k = 4*n + 2 - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -384 = 13*z + 35*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 62*j + 492. Determine y(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/6)\/((368\/(-23))\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 106\/(-9) - (0 + 2\/9). Let b = -4 - n. Suppose 2*o + 4*k = 146, b*k = 2*o + 4*k - 138. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 26*s + 471. Let p be 36*(7 + 45\/(-6)). Let b be k(p). Let q = -8 - -4. Put -5, q, 2, b in descending order.\nAnswer: b, 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.062 less than -1.4?\nAnswer: -1.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4724 = -10*n + 17794 + 8130. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -6*z**3 + z**2 + 2*z. Let n be y(-2). Is n + (-5 - -2) + -1 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(117) + -1*sqrt(117)*-2)\/sqrt(9) + ((sqrt(156)*2)\/sqrt(3))\/(sqrt(20)\/sqrt(5)*-4).\nAnswer: -5 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {m: 2, o: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -33 - -32.99999955. What is c rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (10 - 4) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 11) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -15 - -33?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/9 + (2\/(-12) - 7065\/(-54)). What is the highest common divisor of s and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -14*p**5 + p**4 + 8*p**3 - 1829*p**2 + 8*p. Let h(f) = -f**3 + 2*f**2 - f. Let n(y) = 8*h(y) + i(y). What is the third derivative of n(m) wrt m?\nAnswer: -840*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, i: 1, v: 6, b: 2, l: 3}. Give prob of sequence ivv.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (24\/4)\/((-24)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2)\/v)**(39\/2) assuming v is positive.\nAnswer: v**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a and 1 f when four letters picked without replacement from afaaaafaffaaaaaafa.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 116608564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**2 + 155916*j + 5618160.\nAnswer: -4*(j - 39015)*(j + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 11141738\nAnswer: 5\/11141738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7356 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1823 + -1823. Let y = -38\/35 - -9\/7. What is the closest to -11 in 2\/7, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 42, 66, 90, 102, 90, 42, -54?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, t: 3, p: 2, j: 2, e: 6, l: 6}. Give prob of picking 2 p and 1 e.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 5*z - 6*z. Suppose -3*n + 45 = 4*p, -p - z*p + 37 = 2*n. Solve 0 = 3*y + 4 + n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -64*x - 336. Suppose -356*n + 355*n - 7 = 0. What is the least common multiple of 44 and j(n)?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 12929790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: ((-270)\/(-54))\/((-30)\/(-144))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3404 - -3425. Calculate the remainder when 858 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from rffffrrffrfrffffrff?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(sqrt(864) + sqrt(864) + 4*sqrt(864) + sqrt(864)) + -1.\nAnswer: -1 + sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/((-24)\/(-6)))\/(1\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 120 - 50 = 7*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 12\/(-28)*(-49)\/28 + (-18)\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.0452, -18, 0.2, -36?\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 8290757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = r + 8, 0 = 3*i + 7*r + 799 - 743 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, k: 4, y: 1, j: 1}. Give prob of sequence kje.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1077, 1032, 985, 936, 885, 832, 777?\n\"Answer: -m**2 - 42*m + 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2, -56, -208, -506, -998, -1732, -2756, -4118?\n\"Answer: -8*k**3 - k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 5:18 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/(-27))\/5 - ((-1106)\/126 + 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -15*w**3 + 9*w + 9. Give r(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 293*y = -722*y + 184*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3750 is divided by 188.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*d**2 + 2\/3*d**3 + 2450\/3 + 770*d = 0.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -752*h + 839*h = -870 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 + 6*y**2 + 2*y - 21. Suppose 11 = -n + 3*s - 0*s, n - s + 7 = 0. What is l(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the second derivative of b**3\/6 - 73*b. Let l(x) = -20*x**2 - 1. Calculate l(r(d)).\nAnswer: -20*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -q + 3*b + 629 - 624, 0 = 3*q - b + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 54 = -10. Let z = k + 20. Suppose -53 = -n + z*x, 0 = -3*n - x - 2*x + 84. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 2*y + 16 = 0, 4*t + y + 3 = -2*y. Let q = -1693 - -1691. Sort t, q, 1, 6 in decreasing order.\nAnswer: 6, t, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - -6. Let g be (6\/p)\/(44\/6). Suppose 7*k + 35 = 2*k + 3*q, 4*q = 20. Which is the biggest value? (a) k (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 177353 is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 9684 + (5 - (-7 + 4 + 3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.01 - 0.49. Which is the smallest value? (a) 0.1 (b) o (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.6 and -12.3?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 8*n**3 + 6*n**2 - 38*n - 36. Let a(g) = -9*g**3 - 7*g**2 + 38*g + 42. Give -6*a(q) - 7*y(q).\nAnswer: -2*q**3 + 38*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 200*l + 195*l + 789, -1276 = -5*s - 4*l. Calculate the highest common factor of s and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.06374 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-155)\/(-155))\/(-1 + (-470)\/(-468)). Let s be 102784\/1144 + 2\/13. What is the highest common factor of s and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -14*b - 706. Let q be a(-68). Solve 257*u - q*u = 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 52*t**5 + 8*t**4 - 52*t**3 - 8*t**2 = 0. What is t?\nAnswer: -1, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(495)\/(sqrt(9) - (sqrt(9) + sqrt(9) + sqrt(81)\/(sqrt(18)\/sqrt(2)))))\/((sqrt(1331) + (-2*sqrt(1331) - sqrt(1331)))*5)*4)**2.\nAnswer: 3026\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2427 is divided by 184?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17? (a) -2 (b) -2\/5 (c) -0.2 (d) 3.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4\/10)\/((-4)\/1080). Let i be 2\/11 + y\/(-11). Calculate the greatest common divisor of 90 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -4, 14 = r - 2*g + 2. Suppose -k = -w - 3, -2*k + w = -0*k - 11. Solve -k = 4*s + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 10*v + 69. Suppose 4*t + 5*j + 1 = 31, -2*t - 5*j = -10. List the prime factors of x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 + 4*r + 10. Let m be p(7). Let g(k) = -3*k**2 + 2*k + 1. Let v be g(-2). Let c = v - m. Let s(d) = d**3 + 5*d**2 + 4*d - 2. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s + 4*s - 99. Let c be (-11)\/s - 77\/(-9). Let v = c - 467\/36. What is the common denominator of -77\/16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-27)\/(-5) - 6\/15. Suppose -i*p - 39 = 5*h - 3*p, -4*p + 27 = -5*h. What is the units digit of 2\/h - (-46)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15854 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a1 - -6?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 28\/79 or 0?\nAnswer: 28\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 134684 and 264.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -13 plus 6003966?\nAnswer: 6003953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 5*k + y - 1, 20 = 4*k - y. Suppose 0 = 3*c + 3*f - 2*f - 5, -1 = k*c + 4*f. Solve b = -4*o, -3*b + 2*o - c = 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 217786 + -217786.850008. Let n = 0.729 + -1.579. Let r = n - j. Round r to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.947 + 11.947. What is the nearest to 3\/49 in d, -2, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 11 = 1. Let t be 1278\/(-30) + o\/10. Let w = t - -42. Which is bigger: w or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 536613359 + -1970444269427\/3672. Let o = h - -4\/459. Calculate the common denominator of (-60)\/44*308\/220 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/13 (b) 57\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(2\/9))**(-22)*(z*z\/(((z*z\/(z**(-11)\/z*z)*z)\/z)\/z*z))\/z**(2\/17) assuming z is positive.\nAnswer: z**(-2449\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -150 - 1?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 87\/301 - -6\/43. Is 0 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 2 g when four letters picked without replacement from nnnnnnnnnnnngngnnnn.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * 0.0225\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30, 239, 516, 801?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/48 and -73\/54936.\nAnswer: 109872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(1872)*-1 - sqrt(1872)) + (sqrt(1872) - ((1*sqrt(1872))**2 + 4) - sqrt(1872)) - -1*(-2 + -1 + sqrt(13) + ((1 + sqrt(13) + 0)**2 - sqrt(13))).\nAnswer: -1865 - 118*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 803 - 794. Solve 0 = -w*a + 26 - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1207 and 568?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15042*s**5 + 2*s**4 + 3*s**3 - 10732218*s**2 wrt s?\nAnswer: 902520*s**2 + 48*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 2*w**3\/7 - 2354*w**2\/7 + 104228*w\/7 - 199056\/7 = 0. What is w?\nAnswer: 2, 44, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1056 or -1058?\nAnswer: -1056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 110305 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 180419 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 290287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 943?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 PM and 12:13 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1166*p + 1147*p + 176400 = 1034*p + 1047*p for p.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - -9 - (-4 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -4*k - 20599980, 3*n + 3*k = 2*k - 30899995. Round n to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 294206 and 1892?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (52 - 8998\/154)*(-12)\/(-10).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 448 and 332944976.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = 2*u + o - 8, -76*o = -4*u - 80*o + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = 15*c - 13*c. Suppose m + 1 = -0, 4*q + 2*m + 66 = 0. Which is greater: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4 - (-15)\/10)*-2. What is the highest common divisor of s and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*l - 8 + 8)*((-1 + 0 - 1)*(-2 + 4 + 0) - 2 + 0 + 0) - 3 - 2*l + 3 to z + a*l and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2399\/6 != 401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 643*p - 19256. Determine f(30).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Expand (-11*g**3 - 8*g**3 - 33*g**3)*(0 - 1 + 0)*(4 + 2 - 19).\nAnswer: -676*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 362005869*i**3 - 295772710*i**2 + 1 wrt i?\nAnswer: 2172035214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 822 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - b = -35. Suppose 1 - b = 3*m. Let x(v) = 3*v - 2. What is x(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -17*o + 3. Let v(q) = -4473*q + 1 + 2232*q + 2235*q. Determine 4*b(r) - 11*v(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) be the second derivative of -c**4\/4 + 89*c. Let n(v) = 12*v**2. Calculate n(z(y)).\nAnswer: 108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkrnnrn. What is prob of sequence kknr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3\/2, -3, 74 in decreasing order.\nAnswer: 74, 0, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = 65 + 25. Suppose -8*t + 9 = -15. Let j be (44 - -1)*5\/z*t. Calculate the highest common divisor of 90 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37020559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**31\/(k\/(k\/(k\/(k*k*k**(2\/17)*k*k)))) assuming k is positive.\nAnswer: k**(580\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 27 - 19063*b**2 - 138*b**3 + 38130*b**2 - 19058*b**2 wrt b?\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3240 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 5*i + 8. Let a be (-185)\/74*2\/5. Let h be w(a). Let r(n) = -2*n - 2. Calculate r(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 551538184 to the nearest integer?\nAnswer: 23485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.49 - -1.55. What is the biggest value in -2\/3, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 7*z - 7. Let g be c(8). Let b be (-161)\/g + 4\/14. Suppose 5*t - 2*q = -13, 6*t - 7 = t - 3*q. Sort 5, t, b.\nAnswer: b, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3055 - 3618 + 6133 - 5439*b wrt b.\nAnswer: -5439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 43555060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1744 = -195392*y + 195283*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**3 + 31150*a**2 - 217964*a + 186816.\nAnswer: -2*(a - 15568)*(a - 6)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11*((-24)\/(-8))\/(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the second derivative of v**4\/12 + 5*v**3\/3 + 5*v**2\/2 - v + 5. Give a(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 250115277?\nAnswer: 3, 83371759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 13000 and 3.\nAnswer: 39000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 - 1 + 529*y - 527*y + 0*y**2. Let z(w) = 4*w**2 - 9*w + 4. Let v(t) = 9*u(t) + 2*z(t). Let p(a) = -2*a**3 - 5*a**2 - 5. Give p(m) - 5*v(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 4*r - 9. Let g be r*3\/(-2 + 5). Suppose 4*v + c + 2*c = 5, -g*c = 3*v. Solve -2*i + 2 = 3*b, -v*i = -3*b - 0*b + 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 + -7. Let y = -1 - x. Let t = y - -3. Which is the nearest to 1? (a) t (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 185, 125, 65, 5, -55?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -2316?\nAnswer: 1\/1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 13\/3, -5\/7, -4?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 933306.\nAnswer: 2, 3, 11, 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1210 + -1193 + -22*3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 2*h**2 - 9*h + 1. What is v(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x\/(x*x**(-4\/3)))\/x)\/(x*x**5\/x))**(19\/2))**(-5\/3) assuming x is positive.\nAnswer: x**(665\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(1\/7))**(-4\/31)*j**(-22\/3)\/(j\/(j*j\/(j*j*j**(-2\/9))*j)))**(-9) assuming j is positive.\nAnswer: j**(13924\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 1424*a**3 - a**2 - 9*a + 9. Does 89 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3620723 take away 210101.58?\nAnswer: 3410621.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*t**3 - 6*t**3 - 13*t**3.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83*p - 7*p**2 + 83*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 50444*h + 252218. Give z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o - 4. Suppose -6 = -b - i, -40 = -5*b + 2*i + 3*i. Let n(v) be the first derivative of b*v - v**2 + 0 + 0*v - 2. What is -10*l(d) - 6*n(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -781.033554 rounded to the nearest integer?\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + sqrt(76) + 3 - sqrt(76)) + -2*(sqrt(76) + -4))**2*-4.\nAnswer: -1472 + 256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 8*l**2 + 10*l + 2. Let c(i) = 33*i**2 + 40*i + 7. Let y be (-10)\/1 + 2\/2. Let t = -113 - -115. Let p(u) = t*c(u) + y*o(u). Factor p(d).\nAnswer: -2*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 12*(-15)\/660*-11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -60*q - 2950. What is i(-49)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 2*u**2. Let p(c) = -3*c - 57. Let t be p(-19). Let z(n) = -2*n**2 + 68. Let q be z(t). Let r(m) = 65*m**2 - q*m**2 + 0 + 0. Determine r(x(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 0*b + 1422 = b, b = 4*u - 1134. Calculate the greatest common factor of u and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 179 - 290. Let g = 111.607 + -0.684. Let r = z + g. Round r to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 13\/4, -4 in decreasing order.\nAnswer: 13\/4, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1907 + 4097 - q**3 + 2351 + 491*q wrt q.\nAnswer: -3*q**2 + 491","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10052 + 10263. Calculate the remainder when 7806 is divided by x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 - 11. Suppose -2*k + 7*k + 5*h = 0, -12 = -k + 3*h. Solve k*q = 2*q - b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 214624 equal to 214655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -8479653.64 to the nearest 1000.\nAnswer: -8480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18691*b**3 + 4*b**2 + 67653?\nAnswer: 56073*b**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -3*i + 6*i**2 + 10*i**2 + 3*i in the form y + u*i**2 + a*i and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 324897 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-1*-5*(3 + (sqrt(180) - (5 + (sqrt(180) - (sqrt(180) + 1 + sqrt(180))) + sqrt(180)))) + 4)**2.\nAnswer: -120*sqrt(5) + 9002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 + 21 = 5*i. Let o(x) = 2*x**2 + 5*x + 1 - 6*x**2 - x**i + 4*x**2. Let u(s) = -s + 3. Let h be u(0). What is o(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11d44 (base 16) to base 15\nAnswer: 16988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*z = 2*v + 3*v - 109, -9 = -2*v - z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1889*l**2 - 1345956 - 12*l + 1345956.\nAnswer: -1889*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -15 and -39.96?\nAnswer: 599.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 115061010401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2094 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/8 and -93\/1838?\nAnswer: 7352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000010953 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of -t**4 - 5*t**3\/3 - 7*t**2\/2 + 5*t - 14. Let i(k) = 2*k**3 + 3*k**2 + 4*k - 3. Give 5*i(m) + 3*l(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -30*t**2 + 8*t - 784. Let n(d) = -4*d**2 + 2*d - 112. Let r(m) = -6*j(m) + 44*n(m). Suppose r(o) = 0. What is o?\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (112\/21)\/2 - (-6)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the second derivative of 12*k**2 + 0 - 1\/6*k**4 + 4\/3*k**3 - 18*k. Factor a(y).\nAnswer: -2*(y - 6)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + 3 = -9*w. Let g be 5 + (w - -1)\/(-1). Let m be (3 - (g - 3))*-4. Sort -0.3, 0, m in descending order.\nAnswer: 0, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 272354131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1271 + -1288. What is the nearest to 1 in b, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/((-18)\/2)*30\/(-1269). Are d and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -2*h - 12. Suppose 150 = -142*i + 8. Let s(g) = -1. What is i*s(l) - q(l)?\nAnswer: 2*l + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - 14. Let k(v) = -v**3 - 13*v**2 + 16*v + 34. Let y be k(b). Solve 0 = -3*m - y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 40 - -2444?\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 109 + -106. Let z = -3 - -5. What is the highest common divisor of m and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9916.31 minutes to microseconds.\nAnswer: 594978600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 527 - 515. What is the highest common factor of m and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/1)\/((-8)\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 12 + 23 = 100 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 852025, 1704050, 2556075?\nAnswer: 3408100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Calculate 112299 divided by 10209.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -436, 728, 2694, 5480, 9104, 13584, 18938, 25184?\n\"Answer: 3*z**3 + 383*z**2 - 6*z - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(96\/(-4444)))\/(-440*140\/(-22400))\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 2 - 36\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 269 + 2 - (-3)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 20\/41097 and 20\/108927?\nAnswer: 11219481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of m**4\/12 - 3*m. Let u(h) be the first derivative of h**3\/3 + 1. Determine u(p(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = -888*z + 884*z - 32, -u - 5*z - 40 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 753 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*g + 70 - 64 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*r)*(9 - 3 - 1)*(-2 + 2 + 2)*(2*r**2 + 3*r - 3*r)*(0*r**2 - r**2 + 6*r**2).\nAnswer: -200*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 40*d - 10 + 5*d - 44*d. Give x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from araamarmmaddrmamsmra.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = 71 + -29. Let c(q) = -2*q**3 - 4*q + 1. What is the remainder when f is divided by c(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1198428 - 2644*b - 1198428 to w + x*b and give x.\nAnswer: -2644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 7*u + 4 + 2*u**2 - 7*u - 4*u in the form q*u + b*u**2 + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8\/11*c**2 - 2\/11 - 4\/11*c**3 + 4\/11*c - 6\/11*c**4 = 0. What is c?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4*a - 4*a - a)*(3*a**2 - 3*a**2 - 4*a**2) + (2 - 2 + 2)*(4*a - 4*a - 5*a**3) as w*a**3 + u*a**2 + s + x*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 144576009 to the power of 1\/2, to the nearest integer?\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 4 (b) 0 (c) 7\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.5 + 0.3. Let y = q + 0.2. Let t = -1.1 - -0.9. What is the biggest value in y, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28396.8 + 28393.8. Let z = 0.8 - 0.4. Which is the closest to l? (a) -0.4 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 7*t - 11. Let b(d) = d. Let g(i) = -6*b(i) + w(i). Let f be (3 - 6) + 1 + 7. Determine g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:25 AM and 8:07 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12 + 3. Let x(k) = -2 + 2*k - 3 + 0 + k**2 + 0. What is the remainder when x(-8) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6302233 and 948248.\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (80\/2196)\/(35\/30). Let y be 1 - -2*(-112327)\/(-56364). Let t = l - y. What is the common denominator of t and 101\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -20, 0 = -0*s + s + 2*o - 15. Let q = 0.03 + -4.03. Let p be (-150)\/(-252) - (-1)\/(-2). What is the closest to 0 in p, s, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 5*j - 2. Let l be o(-4). Suppose l = -x + 4*b - 2, 0 = -x + 3*b. Calculate the remainder when (3\/((-3)\/(-22)))\/1 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 3385.86 * -3.2\nAnswer: -10834.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 3*m. Suppose 5*a = -5*k, m = a - 4*a + 5*k + 24. Calculate the remainder when 8 is divided by (1 + -5)\/((-4)\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.685 - 7.315. Let g be ((-12)\/162)\/(1\/(-3)). Which is the closest to -0.1? (a) s (b) -1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**3 + 12*h**2 + 3*h - 81. Let s be q(-11). Suppose -5 = x, 8 + s = 5*t + 3*x. Calculate the smallest common multiple of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 549684.\nAnswer: 2, 3, 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/y**6*y)**28)**(2\/19) assuming y is positive.\nAnswer: y**(-168\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 344*v - 7634 - 3660 - 9002 = 0 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.6 and 0.1.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r. Let v(x) = x**3 - 3*x**2. Let f be v(3). Let m be g(f). Solve -o = -4*p - m*o + 11, -4*o = 5*p - 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 148 minutes before 3:54 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -455*n + 3. Let a be w(-2). Suppose 4*j + 862 = 2*s + 232, 3*s = -2*j + a. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t such that -2*t**4\/9 - 2*t**3\/3 + 20*t**2\/9 = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(170) - (sqrt(170)*-1*-4 - sqrt(170)))*-1)\/((sqrt(640) - 3*sqrt(640)) + (sqrt(640) + sqrt(10) + sqrt(10) - sqrt(10))*6).\nAnswer: -6*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 406, 785, 1150, 1507, 1862, 2221?\n\"Answer: d**3 - 13*d**2 + 411*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 - 2. Does 12 divide -2*w\/2*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 9. Let t(l) = 22*l - 13. Let u be t(4). Let b = u - 27. Calculate the greatest common divisor of i and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36647 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1060, -1064, -1078, -1108, -1160?\n\"Answer: -i**3 + i**2 - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 122 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2. Let o be (-9)\/(3 + (0 - 4)). Suppose o = 4*a - a. Let j(m) = -a*m**2 - m + 6*m**2 + m. Give r(j(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j = 6*j + 22. Suppose 0 = j*p - 30 + 8. Suppose 3\/2*v - 1\/4*v**p - 9\/4 = 0. Calculate v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -62024723767339 take away -1?\nAnswer: -62024723767338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/30376 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -3 times -1.29\nAnswer: 3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 29 = i + i, i = -2*m - 48. Let b be (-10)\/m - 8\/(-5). Find the second derivative of 14*c - 7*c**b + 7*c**2 + 4*c**4 wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 2 = 2*y + 12, c - 17 = 5*y. Let r(p) = p**2 + 2*p - 4. Give r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 54555 (base 9) to base 14\nAnswer: d280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -49 + 45 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jjjjgqqqqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 522*m + 28315 = -193*m - 18059 + 7764 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 2*m = 1 + 6, -4*m + 16 = 0. Let t(d) = d + 3 - 3 - 3 + 0. What is the units digit of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 71*((-193)\/5 + 2). Let i = f + 16799959\/6465. Let m = 37465\/20688 + i. What is the common denominator of 101\/18 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/5 (b) -1\/3 (c) 22\/3953 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:43 AM and 9:59 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -79, 26695.8, 1, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 223, 892, 2007, 3568, 5575, 8028, 10927?\nAnswer: 14272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve h - 11 = 13*n, -4*h = 5*n + 31 - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.27 + -4.6. Let r = f + 0.83. What is the second biggest value in -4\/5, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 - 8*k + 9. Suppose -48*c = -44*c - 36. Let w be (15 - c\/3)*2\/6. Let s be j(w). Let a(h) = h**2 + 8*h + 3. What is a(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.14 - 2.04. What is the closest to h in 0.3, 2\/13, 3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {x: 3, n: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-62.762.\nAnswer: -627.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 29, -5, -2 in increasing order.\nAnswer: -5, -2, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3722 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: What is -0.121986323 rounded to four decimal places?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15684 - 3364 = 5*i. What is the highest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -127\/96 and 55\/168.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(6)\/sqrt(2))*-2 - ((sqrt(75) - (sqrt(75) - 1*sqrt(75) - sqrt(75))**2) + 5) - (2 + 0 + sqrt(363) + -1 + 0)**2.\nAnswer: -304 - 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 - -24. Let u(c) = -c + 7. Let k be u(h). Does 4 divide (0 + k)\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 252071634*j**4 + 286884233*j wrt j?\nAnswer: 3024859608*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 d, and 2 m when four letters picked without replacement from {l: 2, m: 3, o: 2, k: 1, d: 4, s: 8}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((4\/(-12))\/(6\/18))\/(341\/2046)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7488) + -1 + sqrt(7488) + sqrt(7488))*-4 + sqrt(7488) + 0)**2.\nAnswer: -2112*sqrt(13) + 906064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(8\/3)\/(u*u\/((u**5*u)\/u)*u))\/(u*u**(-6)\/u*u**(2\/5)) assuming u is positive.\nAnswer: u**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(539) - sqrt(539)*1) + sqrt(539) + -1)**2*-1*4.\nAnswer: -2160 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-37\/2)\/(z*z**34*z*z*z*z*z))\/((z*z**(-26))\/(z\/(z\/(z\/z**43)))) assuming z is positive.\nAnswer: z**(-151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the third derivative of -g**5\/60 + 5*g**4\/12 - 3*g**3\/2 - 2*g**2. Let l be z(8). Let k = -4 + l. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + ((3*sqrt(153)*3)\/sqrt(9) - sqrt(170)\/((sqrt(80)\/sqrt(2))\/sqrt(4))))*-3 + 2.\nAnswer: -24*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**3 - 12*u**2 + 26*u + 19. What is the remainder when i(-14) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -190779651?\nAnswer: -4\/190779651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 - 4*p**2 - 3*p - 5. Let d be k(5). Suppose 2*x = -3*x + 20. Solve u - 5*v - d = 8, -5*u - x*v = -7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + (sqrt(13) - (-2*sqrt(468) + sqrt(468))) - (-2*sqrt(1573) - sqrt(1573)))*5.\nAnswer: 205*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 - (-10 + (-16 - (-10 - 3))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 319 and 609?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*t + 369 = -9*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 294696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*l - 178 = 20*l + 179 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 3*w + 102. Let a = -5 + -10. Is a >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-434)\/(-28) - 17)\/((-10)\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2164.9 + 2164.948445. Round l to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*q + 40 = 5*q. Put -9, q, -10, 0 in increasing order.\nAnswer: -10, -9, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 12\/(-54) - 47\/(-9). Let u(f) = f**2 - 6*f + 5. Let w be u(n). Solve 3*d + 5*i - 12 = -w, -2*d + 10 = 4*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*l - 3*s - 13, 0 = 2*l + 3*s + 2. Let r(d) = -2*d**3 - 8*d**2 - d - 8. Is r(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 51 + -46. Suppose 0*n = -5*z + m*n - 5, -z - 2*n = -11. Solve 0*y - 3 = -z*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhh when three letters picked without replacement from imaiaaitihi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13725, 27390, 41057, 54726, 68397?\nAnswer: 82070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -357, -1377, -3155, -5697, -9009, -13097, -17967, -23625?\n\"Answer: -x**3 - 373*x**2 + 106*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*d + 2*d + 13*d to i + f*d and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -46 + 15. Let t = a + 66. Let q = t + -38. What is the third biggest value in -4\/7, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -72*q**2 - 1. Let x(m) = 2*m**2 - 40*m. What is x(r(c))?\nAnswer: 10368*c**4 + 3168*c**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 2 = 4*z. Suppose 2*r = -t + z, 5*t = 5*r - r - 18. Let o = 6 - 2. Solve -r*c - 2*c = o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(15\/7)\/(u*u\/u**(1\/9)*u))\/(u*u**(-16)\/u*u*u**(2\/55)) assuming u is positive.\nAnswer: u**(49264\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.07+-0.09458\nAnswer: -0.02458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 783 - 16071?\nAnswer: -15177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -f - 16. Let l = f + 10. Let p(r) = 0*r**2 - 9*r**2 + 18*r**l. Let o(m) = 2*m. What is p(o(c))?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -587 (c) 0.3 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 4 - (9 + -11 + 9 - 69).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 1.375684 to two decimal places.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 4*j = x + 27, 11 = 3*j + 2*x. Suppose j + 1 = 2*y. Let h be 0*y\/(-9) - 1. Is h greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wq when two letters picked without replacement from {w: 1, h: 1, u: 1, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 266561 = 2*z + 5*c - 112973, 3*z = -5*c + 569291. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 (base 10) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = 3*s - 9. Suppose -3*d + 0*d = -s. Is -237*(d + 4\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2476464km in nanometers?\nAnswer: 247646400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -2*(6*1 - 48323\/46).\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110010001101001101 (base 2) to base 8.\nAnswer: -621515","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Convert 221010 (base 5) to base 9.\nAnswer: 11417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**27*f**(1\/18)*f)\/((f\/(f\/(f**17\/f)*f))\/(f*f*((f\/(f*(f\/(f\/(f*f**(-8\/5))))\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(1319\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 + 3. Let h = o + 2. What is the third derivative of -i**6 + 3*i**6 - h*i**2 + 0*i**2 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a week in hours?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:27 AM and 3:19 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 263 + -140. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -218167*w - 312 = -218089*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6615156 and 13542.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1794*c**2 + 406*c - 4 wrt c?\nAnswer: 3588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 2*d - 49 = 112, 3*g = 3*d + 84. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mm when two letters picked without replacement from wsmmw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8221 - 8224. Let l be -1 + ((-201)\/(-18) - 2). Let k = l + -7. What is the biggest value in 1, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(343) - -5*(sqrt(7) - sqrt(567)).\nAnswer: -33*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 2*b**2 - 2*b - 2. Let k be a(-3). Let n be 290\/25 - 3\/5. What is the highest common divisor of k and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 2 + 2)*(-212 + 428 - 9*v**2 - 13*v - 217).\nAnswer: 36*v**2 + 52*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {t: 1, x: 1, s: 7, e: 2, k: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -25 + 43. Suppose 0 = -7*g + g + a. Solve -2*z + g = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(-12) + 1\/4. Let o = 2 - a. Suppose -2*w = -40 + o. What is the highest common factor of w and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2415339.56424 + -45.56424. Let p = d - 2415293.2320307. Let s = p + -0.768. Round s to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {g: 10, t: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 196 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, e: 2, v: 1, n: 1}. Give prob of sequence ne.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -219.809 + 219.78. Sort -1\/5, -5, -1\/2, h.\nAnswer: -5, -1\/2, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17303 is divided by 467.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is l in -3*l**5 - 64452*l**4 + 193392*l**3 + 193362*l**2 - 451245*l - 386766 = 0?\nAnswer: -21487, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - g = g, 3*v - g = 14. What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 251, -5, 4 in increasing order.\nAnswer: -5, 4, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of z**4 + 3*z**3 + 3*z**2 - 201490*z + 20845563.\nAnswer: 4*z**3 + 9*z**2 + 6*z - 201490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 8*p + 175209321 = 0. Let t = p + 44829903. What is t rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:47 AM and 8:17 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m + m**3 - 3*m**3 + 3*m**3 + (-18*m + 109*m - 42*m)*(-m**2 + 2*m**2 - 2*m**2).\nAnswer: -48*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 160965037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -7*p - 4. Let x be a(-2). Let c = 22 - x. What is the greatest common factor of c and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-38) - (21 - (43869\/399 - 19 - -28))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**(-3)*l)\/(((l\/l**(5\/2))\/l)\/l)*(((l\/(l*l*(l*l**(-3))\/l))\/l)\/l)**(-32))**(-25) assuming l is positive.\nAnswer: l**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 8553622 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 5770000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {s: 3, z: 10, p: 2, e: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -209 + 327. Suppose -3*h = -b - 356. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -3*v - 2*w + 411, 3 = w. Let u = 950\/7 - v. Put u, 3, 0 in ascending order.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o**2 + 90*o + 883. Let i be r(53). Let d be 4\/((-8)\/(-30)) + 0. Calculate the highest common factor of i and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/807358, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6586025293.\nAnswer: 6586025293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3419)\/(-39) - 2\/(-6). Let h = v + -61. Is h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-2))\/(((-57)\/(-19))\/72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*f + 8*f + 166 = 3*w, -147 = -9*w + 4*f - 314 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9 + 2*c + 18*c**3 + 0 - 9 to b + o*c + v*c**3 + a*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (4 - 63\/14)\/((-2)\/9908) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8 + 8\/2 + -7. Let d(v) = 2*v**2 - v + 11. What are the prime factors of d(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 599896386 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 90149*n = 90035*n + 6726 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 4783, 5, 3, 2 in decreasing order.\nAnswer: 4783, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -26.609, 3, -9\/17 in descending order.\nAnswer: 3, -9\/17, -26.609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2\/6 + 0)*132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 2*x**2 + 2*x + 3. Let v(y) = 220*y**2 + 40*y - 1334. Let w(f) = -20*n(f) + v(f). Find the first derivative of w(k) wrt k.\nAnswer: 360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -10, -2130 in ascending order.\nAnswer: -2130, -10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 4) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1769 a factor of 1168471357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.096 and 3?\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.404 - 8.516. What is d rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 532669\/18 + -29585. Let c be 12\/27 + 2840\/90. Let m = c + -57\/4. Calculate the common denominator of m and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3689117705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/30803311 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the third derivative of -1\/24*y**4 - 2\/3*y**3 + y**2 + 0*y + 0. What is the units digit of m(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -740027, -740028, -740029, -740030, -740031?\n\"Answer: -y - 740026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(((m\/m**0)\/m)\/m))**(-12))**(-35\/6)\/(((m\/m**(-1\/4))\/(m\/m**(1\/2)*m))\/(((m**(1\/7)\/m)\/m)\/((m\/m**(6\/11)*m)\/m))) assuming m is positive.\nAnswer: m**(42485\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = s + 1 + 5, 5*s - 22 = 3*a. Suppose 10*u + 25 = 15*u - 2*r, 0 = -3*u - 2*r - 1. Suppose -u + 3 = -10*j. Solve j = -s*p - p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 231 + o**2 - 272 + 0*o**2.\nAnswer: o**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -88\/315 and 55\/21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 2278 = -o - 347, 3*o = -t + 5793. What are the prime factors of o?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttlltltottoltltttt. What is prob of picking 2 o?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of 5*k**2\/2 + 5. Let d(h) = 2*h. Give i(d(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -43 divided by 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11010618 - 16236509.4. Let m = q + 5225858.4000062. Let p = -33 - m. Round p to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -13*m**3 + 5*m**2 + 10*m + 5. Let l be t(5). Let z = l - -1019. What is the common denominator of -43\/12 and ((-10)\/420)\/((-10)\/z)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 13) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -18*b**2 - 5*b - 5. Let c(l) = 9*l**2 + 3*l + 3. Let n(z) = -5*c(z) - 3*o(z). Let x(g) = 738 - 738 + g**2. Give n(x(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7 - 1381?\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 221594*f**5 + 25*f**2 + 3787?\nAnswer: 13295640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 76326 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -2*x. Let h(l) = -27935713*l**2. Calculate a(h(g)).\nAnswer: 55871426*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(20) - (sqrt(20) - sqrt(200)\/sqrt(40)))\/(sqrt(44)\/sqrt(44)))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 660710 rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 839, 0.07, 1\/6, 2, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h. Suppose -5 = -5*m - 0*m. Let k(y) = -m + 1 + 2*y. What is g(k(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + 2*6\/4. Suppose 2*t = -4*c + 14 + 10, r*t - c - 3 = 0. Suppose -14 + 2 = -t*k. Calculate the least common multiple of k and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = i + 1, 5*i = 84 - 69. Let x = -16 + 22. Calculate the common denominator of (m\/(-12))\/(x\/412) and 79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -623*m + 703*m - 602640 = 0. Calculate the highest common factor of 62 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 2*g**2 - 52 - 618*g + 307*g - 3*g**2 + 287*g. Calculate l(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 2 = p, i + p + 2*p + 4 = 0. Solve i*o - 3*o = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*o**2 - 2*o**2 + 5*o**2 + (-13*o - 27 + 27)*(7*o - 3*o - 2*o) + o**2 + 3*o**2 - 2*o**2 + 3*o**2 - 24*o**2 + 8*o**2.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**2 - 3*l**2 + 23*l**2.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 PM and 8:52 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 217?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -6*z - 2844. Let r = z - -2531. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-153249)\/(-6663)*1*(-1)\/1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 6200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/29? (a) -3 (b) 54 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/2 + 1\/(-2). Let k(f) = -f + 5. Let r(b) = b**2 + 2*b - 11. Let z(i) = 2*k(i) + r(i). Let j be z(h). Solve y = 3*y - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 + 8. Let z be t(-3). What is the biggest value in 4, 3\/8, z, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 194*d - 1. Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32 + 36. Let c be 1370\/540 - 10\/b. Which is smaller: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 997? (a) 3 (b) -12\/25 (c) 1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b - 1. Let s be g(4). Suppose o - s = -1. Let d(j) = 2*j**3 - 1. Let w be d(o). Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*w**3 - 3*w**3 + 34*w - 34*w.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 3186*g - 3190*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1242 less than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10229, 9863, 9245, 8369, 7229?\nAnswer: 5819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 99144516?\nAnswer: 2, 3, 8262043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 1, 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -47*f**3 + 1. Is z(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 530 + 557 = 12*a + 1135. Let s(t) = t + 4*t**2 - t + t**3 + 2. Determine s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/((-1)\/(-4)*(-12 + 10)). Let g(a) = -a**2 + 6*a + 8. What is g(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*j**6*n**2 + 12*j**6 - j**2 - 20*n**2 wrt j.\nAnswer: 360*j**3*n**2 + 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5508*i**2 + 1432*i**2 - 622*i**2 - 1639*i**2 + (-i + 3*i - i)*(4 + i - 4) to m*i**2 + r + h*i and give m.\nAnswer: -6336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2 less than -179798.705095?\nAnswer: -179796.705095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11199 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 3*sqrt(17) + sqrt(612) + 2 + -6*(2*(sqrt(119)*2)\/sqrt(7))**2.\nAnswer: -1632 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 3, z: 9, l: 3, a: 2}. Give prob of picking 1 a and 2 z.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.7 - -2.7. Let v = q + -5. Let x = -2.9 - v. Sort 2, -2, x in decreasing order.\nAnswer: 2, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - -0.3. Let h = -1 + 1.1. What is the third smallest value in -1, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 39\/520*-5 + 10\/(-16). Sort 0.284, t, 0 in descending order.\nAnswer: 0.284, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 3*d + 2692. Let z be (-930)\/217*(1 - d). What is z rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/1367 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4885 + 4009 = -4*i. Calculate the remainder when 231 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/6*(-47)\/(-564)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 796048 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 i be 9 + 4 + -8 + 1. Is i > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 988 - -3181?\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 7 (b) 0.02 (c) -6 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -81*c + 13 - 152 + 79*c + 23 to the form p*c + w and give w.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*c - 102 = 42 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 2*a**2 - 5*a + 5. Let p be r(3). Suppose 5*c = -4 + 19. Sort c, 5, p.\nAnswer: p, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {s: 6, d: 1, j: 3, a: 3, x: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 2.4, -7, -3\/844 in descending order.\nAnswer: 2.4, 2, -3\/844, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 3*d = 1076, -3*r + 12*d + 1595 = 17*d. Put -3, -4, r in descending order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 3*a**2. Let u(w) = -6672981*w. Give g(u(l)).\nAnswer: 133586026279083*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5042909 is divided by 1260726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c = -16*c. Suppose c = -h - 4 + 9. Suppose -518 + 5368 = h*v. Round v to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 31 - 7. Suppose v + 8*s = 3*s + j, 5*v = -s + 48. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -3*w - 3, -o + 10 = 3*w + 1. Let q = -2 - w. Let l = 13 + q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 686375 - 418688869\/610. Calculate the common denominator of t and -123\/100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 411972041 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -5 <= -1187\/255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 + o)*(-5*o**3 - o**3 + 2*o**3) + 57*o**4 - 120*o**4 + 58*o**4 to the form h*o + n*o**3 + s*o**2 + a*o**4 + z and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -24 - -5951?\nAnswer: 5927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 199, 401, 645, 925, 1235, 1569, 1921, 2285?\n\"Answer: -x**3 + 27*x**2 + 128*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-87)\/6 - (74 - 63).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 13*b**2 + 10*b - 13. What is the remainder when 21 is divided by u(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -63*z**2. Let h(r) = -2*r**2. What is l(h(n))?\nAnswer: -252*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -1867 and 29731.\nAnswer: -55507777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-240)\/(-10)*5\/(-105)*35\/(-15).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3087 + -4579. Let n = 29833\/20 + c. Find the common denominator of n and -13\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -5.6. Let g = x + -2.4. Let t = -0.08 - 4.92. Which is the third biggest value? (a) g (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20511789.\nAnswer: 3, 179, 38197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.24 - -2.07. Let h = -0.7525 + m. Let o = -0.063 + h. Round o to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-84)\/189)\/(4\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 32\/10*13*(-40)\/(-208).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27 - -31. Suppose 3*q - 1 = 4*l, -5*q + 11 = -f. Find the third derivative of -4*v**2 + 12*v**6 - 7*v**6 - 3*v**l + 5*v**2 wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 8.2286790409096 and 4?\nAnswer: 4.2286790409096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111 + 10011001111?\nAnswer: 10011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13*m**5 + 6*m**4 - 84*m**2 wrt m?\nAnswer: -780*m**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.14746 and -5.\nAnswer: -0.7373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-38 - -150) + (1 - 0) + (-87 - -77).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 - -3. Let q be (-4)\/f - (-4)\/(-6). Find the second derivative of -6*h + q*h**4 - 3*h**4 + 5*h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 67, 168, 299, 466, 675, 932, 1243?\n\"Answer: m**3 + 9*m**2 + 67*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 2 + 0 - 7 - 44*n + 1. Let z be ((-10)\/(-10))\/(1\/(-2)). Is 21 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 75088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -9943.4 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -271 - -270. Let s = 8.5 + -9. Which is the nearest to 1? (a) 4 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (28*v - 23*v - 111*v)*(v**2 + 54*v - 54*v) as l*v + g*v**2 + r*v**3 + b and give r.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 5*g + 8. Let l(d) = 6*d**2 - 77*d. Give o(l(v)).\nAnswer: 30*v**2 - 385*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - 13*u + 8. Let i be c(12). Let w(q) = -q**2 - 13*q + 12. What is the smallest common multiple of i - (-1 + -3) - -22 and w(-13)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = 17*a**2 - 2*a - 1. Suppose 0*t - 53 = -3*t + k, k - 1 = 0. Calculate the least common multiple of t and c(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0220658 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -65948*c. Let r(d) = 3*d**2 + 66. Give m(r(l)).\nAnswer: -197844*l**2 - 4352568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of 0 + 7*p + 2*p**3 + 0*p**2 - 1\/3*p**4. Factor u(j).\nAnswer: -4*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60244529 + 16285390?\nAnswer: 76529919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2028, -4117, -6300, -8625, -11140, -13893, -16932?\n\"Answer: -8*r**3 + r**2 - 2036*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1813\/131 + 370913\/1310. Let s = 3293499\/12230 - g. Let d = s - -116209\/7338. What is the common denominator of d and 11\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 12706 and 41412.\nAnswer: 54118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 420 and 4179.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 PM and 9:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 391155190 to the power of 1\/2, to the nearest integer?\nAnswer: 19778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 70949344 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 4*z**2. Let l(k) = k + 2. Let t(j) = 3*j - 31 + 55 - 17. Let u(s) = -7*l(s) + 2*t(s). What is u(o(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t - 5*t + 0*t)*(3*t + 2*t + 0*t)*(t - 5 + 5).\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 178402 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15, 89, 217, 399, 635?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 173606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -81, -228, -533, -1044, -1809?\n\"Answer: -8*o**3 - 31*o**2 + 2*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 1670 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -23452 divided by -52?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 629578 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 33574705*a**2*v**2 - 3072*a*v**2 - 126*a - 3 wrt a.\nAnswer: 67149410*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes after 8:53 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -28*x**2 + 10. Let q(b) = -4098*b. What is u(q(f))?\nAnswer: -470220912*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -6*l**3 + l**2 - 1857*l - 8. Let w(a) = -a**3 + a**2 + 7*a - 2. Determine 4*w(u) - x(u).\nAnswer: 2*u**3 + 3*u**2 + 1885*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) -2 (b) -0.063 (c) -0.184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(2 + sqrt(396)*2) + (sqrt(1331) + sqrt(1331)*1 + 2 - sqrt(1331) - ((6*(-1 + sqrt(1331)))**2 + sqrt(1331))).\nAnswer: -47938 + 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffffmmffmfffmffffff. What is prob of sequence mff?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 165, 1020, 3323, 7788, 15129?\nAnswer: 26060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -4*(-2)\/10*1420\/8?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 11*z + 13. Let t(a) = -a**2 - 25*a - 89. Calculate the remainder when l(11) is divided by t(-17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -131 + 149. What is the highest common divisor of h and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (402 - 203 - 192)*(-2*z - 2*z**4 + 2*z) + (-4*z**4 + z**4 + 2*z**4)*(-6 - 2 + 2) to the form w*z**4 + q*z + v*z**3 + k*z**2 + n and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000205637662 rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 648, 823, 1102, 1473, 1924?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - ((-2 - 5) + -12 + 18) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 159199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -4*r**2 - 1 - 89*r + 90*r - 2 - 3*r**3 as u*r**2 + z*r**3 + f*r + b and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88, 209, 340, 487, 656, 853?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 24546500 to the power of 1\/2, to the nearest integer?\nAnswer: 4954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/10 - (-123)\/((-60885)\/(-3894))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(180) + ((sqrt(180)*-1 + sqrt(180) - sqrt(180)) + sqrt(180))*5 - (0 + sqrt(180))**2*-5) + -5.\nAnswer: 6*sqrt(5) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 7b4c0 + -45?\nAnswer: 7b479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -11 (b) 0.3 (c) 5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10130321.\nAnswer: 41, 211, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/723 and 13\/3852.\nAnswer: 928332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55*n + 22*n + 1480 = -13*n. Calculate the smallest common multiple of 136 and n.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5696, 5697, 5698, 5699, 5700, 5701?\nAnswer: 5702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 3 - 3*f**2 + 5*f**2 - 1 as w + k*f**2 + u*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 318288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 4*l**2 + l + 1. Let r(h) = -2*h**2 - 1. Determine 2*g(z) + 5*r(z).\nAnswer: -2*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -113\/4 + 577\/20. Which is the nearest to -0.3? (a) -2.8 (b) l (c) 4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2*v**2 - 1)*(1 - 1 + 2) + (-v - v + 5*v)*(3*v + v - 7*v) + (-2 + 3*v + 2)*(-v + v - 2*v).\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + -9. What is the second smallest value in v, 4, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -2 - 10 - 20*t + 2*t**2 - 8 - 10*t + 38*t. Determine l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 213 = 5*t - 2*r, -4*t + 6*r + 172 = 4*r. Let o = t - -4. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2.845 (b) 2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 82044 divided by -9116?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -19, 5, 0, 7 in descending order.\nAnswer: 7, 5, 4, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.6*1.597189.\nAnswer: -4.1526914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 75, 3, 1, -6, 647, -4 in increasing order.\nAnswer: -6, -4, 1, 3, 75, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - 4*h + 9156, -38*h + 11465 = 5*p - 37*h. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 70167 is divided by 358.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 - -40445?\nAnswer: 40450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -28087688, -28087742, -28087796, -28087850, -28087904, -28087958?\n\"Answer: -54*i - 28087634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7424, 7423, 7420, 7415, 7408, 7399?\nAnswer: 7388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 4*q**2 + 2*q - 4. Is c(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -109\/142? (a) -3 (b) 3 (c) -1 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1112.707 rounded to the nearest 10?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -1551030*g. Let w(y) = 4*y. Determine c(w(q)).\nAnswer: -6204120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 28*o**2 - 8*o + 6. Let u be d(5). Suppose -83*w = -47*w. Suppose w*y + u = 6*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -450, -1814, -4098, -7308, -11450, -16530, -22554, -29528?\n\"Answer: -o**3 - 454*o**2 + 5*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-87*z**2 + 39*z**2 + 177*z**2)*(12 - 3 - 4).\nAnswer: 645*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 15 - (-226983 - -15)\/4 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 105823844.\nAnswer: 2, 7, 17, 19, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**3 - 6*h**2 + 5*h. Give q(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -13712 divided by 2\nAnswer: -6856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 7) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -70, 1.99 in increasing order.\nAnswer: -70, -5, 1.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 113036.4ml in litres?\nAnswer: 113.0364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzwjwwwzzwzzwzzww. What is prob of sequence zwzz?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 460 - 16. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -157529 times 0.006?\nAnswer: -945.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/((-35)\/(-9))*3810\/(-2286)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 83 divide 4439504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 AM and 6:13 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 321 and 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 2*p = 20, 0 = 5*q - p - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 1 = 3. Suppose 0 = h*j - 1426 + 222. Suppose 469 = 3*n + 4*v, -2*v + 7*v - j = -2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0454 and -8886.\nAnswer: -403.4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 120020 + 12?\nAnswer: 120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(168)\/(sqrt(8)*2))\/sqrt(7))**2 + 3.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 PM and 3:57 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1729.1 - 1729. Let t = -1.7 - 5.3. Which is the closest to m? (a) 0.4 (b) t (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the third derivative of -a**6\/120 + a**5\/15 - a**4\/12 - a**3 + 6*a**2 - 10*a. Calculate l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -29 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -3*o**3 - 25*o**2 + 10*o + 52. Let n be w(-8). Is n greater than or equal to -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 351*d - 1804 = 329*d. Calculate the remainder when 301 is divided by d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-243)\/(-45))\/(3\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the second derivative of -17\/6*f**3 + 0 + 13\/2*f**2 + 7\/12*f**4 + 35*f + 1\/20*f**5. Let p be w(-9). Solve p = v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 23 (base 4) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5062419401.\nAnswer: 13, 1217, 319981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -2*c - 4440. Let m(l) = 11*l. What is m(s(z))?\nAnswer: -22*z - 48840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1023.446 - 2.446. Let z = y + -1020.998012. What is z rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the second derivative of -3*o**5\/10 + o**4 + 7*o. Find the third derivative of y(g) wrt g.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -26498 divided by 1241\nAnswer: -26498\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -14496\/67 <= -217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 1443 = 3*j, 37*y = -2*j + 42*y + 947. What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 90 divide 16548570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 843*h - 674*h - 4850 + 1132 = 0 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 3*v**2 - 4*v - 4. Suppose -w = 6, 26 = -72*h + 74*h - 4*w. Let m(y) = y**2 - y - 1. Calculate h*x(q) - 6*m(q).\nAnswer: -3*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = -2*v - 18, 4*m - 3 = v - 20. Let t = v - -7. Calculate the lowest common multiple of t and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/2332 and 41\/636?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 101242093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 485899*m**3 + 33*m**2 - 4017?\nAnswer: 2915394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 40*u + 30. Let w(o) = -80*o - 32. Let f(q) = 13*n(q) + 6*w(q). Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 407*t + 195*t - 1362 + 47831 = -897*t for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 124989 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 1 = -k, -9*l - 5*k - 46 = -11*l. Let o(x) be the first derivative of 17 - 4*x - 17\/3*x**l + 0*x**2. Differentiate o(b) wrt b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 135 minutes after 6:15 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h. Let p(a) = 9*a + 3. Determine -4*l(g) + p(g).\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -344 - 174*i**2 + 139*i**2 - 379.\nAnswer: -35*i**2 - 723","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1105650 and 21450?\nAnswer: 12162150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3630416 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 3388, 3363, 3322, 3265, 3192?\n\"Answer: -8*m**2 - m + 3397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -116*z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-72)\/4*(2 + 25\/(-3)). Suppose -13874 = s*l - 128*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7936484.\nAnswer: 2, 17, 127, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1 - -23819710.64227\nAnswer: 23819709.64227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6026, -6178, -6328, -6476, -6622, -6766?\nAnswer: -6908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v = 2*a + 6, -23 = v - 2*a - 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 297 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(143)*2 + 2*sqrt(143)*-3)\/(sqrt(44)\/(sqrt(256)*-1)))**2 + -5.\nAnswer: 53243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -33*w**3 - 2*w**2 + w + 2. Let q(x) = x**3 - x - 1. Let v(l) = c(l) + 2*q(l). Let f be 1\/2 + 21\/(-14). Is 18 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times 2913\nAnswer: -1165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 29 + 185. Let b = -11 - m. Let p = 136 - b. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -122 (base 7) in base 8?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -5*a**2. Suppose z - 20 = -z - 4*j, -6*z = -2*j + 10. Let s(d) be the first derivative of 0*d**2 - 17 + 1\/3*d**3 + z*d. What is f(s(b))?\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (j**2 - 2 + 2 + (-2*j + 2*j + j)*(j - 2 + 2) + 2*j**2 + j - j)*(3*j - j - j) in the form g*j**2 + q + v*j + d*j**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5 and 24624?\nAnswer: 123120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 445 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4 + -2 - 3) + -2. Let n = 7063 - 7063. Sort 2, n, x in descending order.\nAnswer: 2, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 divided by 20?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2dec2e - 10?\nAnswer: -2dec3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 3*i = -0*i + 102, -5*s + i + 200 = 0. Suppose 0*v = 4*v - 648. What is the units digit of v\/s + (-4)\/26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-24)*6\/(-15)*8\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qbhqqqbqqqbbqqqbqqb. What is prob of sequence qh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 2*p = 254, 7*m - 11*m - 508 = 6*p. What is the nearest to -1 in m, -0.2, 0.1, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 2\/7 (b) -3\/13 (c) 0.044 (d) 0.06 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 4*s + o - 24, s - 6 = -o. Let i = -8023 + 168389\/21. Let m = 29\/7 + i. Which is the nearest to s? (a) m (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 899, 450, 11, -412, -813?\n\"Answer: t**3 - t**2 - 453*t + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -14*c + 3. Suppose -2*y - 1 - 33 = 0. Let s(v) be the first derivative of -v + 5\/2*v**2 + 1. Calculate y*s(l) - 6*g(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00003567895 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*3*(5\/(-5))\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5194530918 to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1001805 and 5452?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000233473595 to seven dps.\nAnswer: 0.0000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 38909*h**3 - 54*h**5 + 20*h + 38910*h**3 - 149*h**5 + (-4*h**2 + 2*h**2 + 3*h**2)*(2*h**3 - h**3 + 0*h**3).\nAnswer: -202*h**5 + h**3 + 20*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 - 11*m + 1. Let y be l(0). Sort 3, 2\/11, y in increasing order.\nAnswer: 2\/11, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in -84*u**4 + 51404*u**3 - 3482880*u**2 - 7342928*u - 341760 = 0?\nAnswer: -2, -1\/21, 80, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from acnono.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 201625 is divided by 282?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 31406761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*j*w**5 - 2*j*w**3 + 2*j*w**2 + 80218*j + 20715*w**4 + 2 wrt w?\nAnswer: -120*j*w**2 - 12*j + 497160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -3*q - 1. Let p(l) be the second derivative of l**3\/3 - 7*l**2\/2 + 17*l. Let g be p(5). Let v = 5 - g. What is k(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 39 = 24, -5*v - 29 = 4*y. Let z be (-17)\/(-2)*2*1. Suppose 11 = 2*g + 5*j, -2*j - j = -4*g - z. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-16)\/(-28))\/((-2)\/(-7)). Suppose 26 + 76 = l*v - 4*i, 3*v = -i + 181. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*s - 3*s**2 + 0*s - 418 + 414 - 2*s + 8*s**3 to the form g + h*s**3 + o*s**2 + c*s and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-230)\/1 - 0 - (-3 + -1). Let a = 221 + p. Let m(t) = 7*t + 2. What is m(a)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3855*r**2 - 11 + 3862*r**2 - 15*r**3 - 14 + 25.\nAnswer: -15*r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.03 - -0.33. Let t = -0.4 + 0.6. Let b = t + 4.8. What is the second biggest value in b, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**6)**36*(g**8)**(-5) assuming g is positive.\nAnswer: g**212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-16)\/(-4) - (19 + -23). Suppose 5*h - 622 = -2*r, 9*h - 2*r - 134 = l*h. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 75 and 8351125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 580.71 and 0.3.\nAnswer: 174.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -15. Let y = -6 + p. Find the third derivative of -4*w + 4*w - 11*w**5 - 8*w**2 + w**y wrt w.\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oksokoooooooosooooos. Give prob of sequence ssk.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -2171.8.\nAnswer: -434.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -4 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/19 (b) -1 (c) 36 (d) 3 (e) 0.04 (f) -2\/9 (g) 0.23\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1189 - 4?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = 33630 - 33630. Let a(x) be the first derivative of -1\/5*x**5 - 47 + 1\/3*x**3 - x**2 - 1\/6*x**6 + 3\/4*x**4 + m*x. Find u, given that a(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27, 99, 219, 387?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 - 3*p**2 + p + 7. What is the remainder when 349 is divided by x(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -2*x + 4. Let s be d(-5). Let y(t) = -4*t**2 - 4. Suppose j = -4*j - 200. Let f = j + 34. Let k(v) = -9*v**2 - 9. Calculate f*k(g) + s*y(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o**2\/17 - 46*o\/17 - 48\/17 = 0 for o.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is y in -10342152*y**4\/5 - 3627030*y**3 - 7820318*y**2\/5 - 27344*y\/5 - 24\/5 = 0?\nAnswer: -1, -3\/4, -2\/1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p - 5. Let b be u(5). Let g be 6 + -2 - (7 + -5). Suppose -l + g + 5 = b. Solve -2*k + 1 = l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3264 and 7808.\nAnswer: 398208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -919 + 1446. Is 526 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 15fe42 (base 16) to base 11\nAnswer: 8a49a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*c**3 - 542*c + 542*c.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m**3 - 308*m**2 + 589*m**2 - 281*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/6 - -1)\/(38\/684).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 40409\/2 (b) 1 (c) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (72 + 2*t + 80 - 1 + (2 + 3 - 4)*(6*t - 3*t - t))*(-t**2 + 3*t**2 + 0*t**2).\nAnswer: 8*t**3 + 302*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be -6 - -12 - (7 - (5 + -3)). Suppose 8 + 12 = 4*l. Solve -l*w = -9 - z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 3*c - 12. Suppose v + c*v - 12 = 0. Suppose -5*a - 3*i - 6 = 0, -2*a + 0*i + 4 = -2*i. Solve 0 = -a*h - v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2835786466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, n: 9}. What is prob of sequence nnnn?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4245 and -0.74.\nAnswer: 0.31413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.07055285 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that -36*z**3\/13 + 742078*z**2\/13 - 948140*z\/13 - 247344\/13 = 0.\nAnswer: -2\/9, 3\/2, 20612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/((-2)\/3*-3)*64\/12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/(-16))\/((-87)\/464). Solve -3*l - 2*l - 2 = -o, -4*o - z*l = 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w = 13.2 - 12.6. Which is the smallest value? (a) 4\/3 (b) w (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6599, 6655, 6685, 6677, 6619?\nAnswer: 6499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*i + 13*i - 9*i + 918 = 0 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 47*b**2*k**2 - 2353854*b**2*k - 5321*k**5 wrt k?\nAnswer: 94*b**2 - 106420*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 2*b - 2)*(b**2 + 2*b**2 - 2*b**2) + 2*b**3 - b**3 + b**3)*(64 - 25 + 30)*(6*b - b**2 - 6*b).\nAnswer: -276*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of 37.85 and -2.553.\nAnswer: 35.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 598 + -245. Suppose 3*s + 5*r = z, 2*s + 345 = 5*s - 3*r. Let k = 166 - s. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the third derivative of -t**7\/42 + t**6\/24 + t**5\/12 - 5*t**4\/24 - 13*t**2. Factor n(f).\nAnswer: -5*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 33 - 22 = 5*m, -3*i - m = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = g - 7*m + 19, 0 = m - 4. Suppose -j = -5*w - 11 + g, 2*w = 2*j - 12. What is the third derivative of 1838*s - 1838*s + 9*s**j - 21*s**2 wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76 + 40 = 12*h. Let k(p) = p**3 + 3*p**2 - 9*p - 16. Give k(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -112 in 417, -3, 1\/2, -12.6?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/147)*x**41*x**36\/x*x\/(x\/(x\/(x\/(x*x*(x\/(x*x\/(x**5\/x))*x)\/x)))))**12 assuming x is positive.\nAnswer: x**(47636\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmm when three letters picked without replacement from xxmxmeeeexmx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 140 by 5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 31*j**2 + 5*j**2 + 18*j**2 + 2*j**2 - j**2 - 2*j**2 + (-j - 3*j + 3*j)*(2 - 2 - 2*j) + 3*j**2 - j**2 - j**2.\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (125 + -1 - 2) + -2. Let m = -813 - -650. Let k = -151 - m. Calculate the highest common factor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33261139735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -10791 - 7716 - 207733 = -3232*h for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the third derivative of -b**5\/60 + b**2. Let j(z) = -z**3 - 9*z**2 - z - 7. Let d be j(-9). Let g(v) = 2*v - 3 + d + 1. Determine c(g(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 3 = h, -3*o = -2*h - 14. What is the least common multiple of o and 6\/24 - 142\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 4*x + 33 + 7 = 0, 4*i + 56 = -4*x. Let d = -388 - -406. Let j = i + d. Solve -25 = -r - 4*p, -4*r + j*p + 8 = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 651 = 7*u - 308. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1010 + 23300220?\nAnswer: 23233210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-10)\/(-15))*(-4)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**3 + 167*h**2 + 168*h + 343. What is b(-166)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u**2 - 1712*u - 57615. Determine p(-33).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -73*l**3 + 30*l**2 - 30*l**2 + 2*l + 108*l**3 - 58*l**3.\nAnswer: -23*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -3*w + 4*i, i - 2 = -w - i. Suppose -1 + 13 = w*m. Suppose 2*g = -0*g - 4, j + 5 = -3*g. Solve r = -j - m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 78\/(-36) - (-32016)\/288\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 31 + -19. Suppose x + 38 = 2*c - 0*c, -5*x + 19 = c. Let v = 39 - c. Solve 4*z - 2*o = h, 0 = 2*z + 3*o + 6 - v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -233*h - 48 = -239*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1250)\/3*(-1 - 3071). What is u rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 143 (base 8) in base 16?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/3)\/(-4) - (-7)\/21. Suppose -2*s = m, -3*t + s = -s - 330. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1296 + 1291. Which is greater: -1\/9 or r?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (12 - (-11 - -13) - -4) + -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 44182.93 less than 0.5?\nAnswer: -44182.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.05 (b) 4 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 6854 = -0*b. Let v = 419 - b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**2 - 4*a. Let o be p(6). Let q = 42 - o. Solve -4*w + q = -5*u, 2*u = -2*w - 3*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) -5 (c) 0 (d) 1143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -x. Let q(f) = -5*f + 559. Determine q(o(a)).\nAnswer: 5*a + 559","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -385.8474 rounded to zero dps?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*r - 55 = 62. Suppose -4*s - 2459 = -5*f, r*f - 1477 = 10*f + 4*s. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f + 33. Let k be g(28). Let t(q) = -q**2 + 5*q + 5. Let p(n) = 1 + 1 - n + 3*n. Let w(y) = k*p(y) - 2*t(y). Let a(l) = -11*l**2. Give w(a(m)).\nAnswer: 242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, 2, -2765 in ascending order.\nAnswer: -2765, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be 51\/(-90) + 4\/6. Let t = -893 - -895. Which is the second biggest value? (a) s (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3941, 3930, 3929, 3944, 3981, 4046, 4145, 4284?\nAnswer: 4469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 4 = -2*v, 2*v - 9 = -3*k + 3. Suppose 53 = k*a + s, -2*a + s = -0*s - 25. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*m - 28*m - 63*m + 215*m - 3*m**3 - 66*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 581 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that o**3\/10 - 2828659*o**2\/10 - 5657321*o\/10 - 2828661\/10 = 0.\nAnswer: -1, 2828661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 18, -35, -2, -3256, 3, -5 in increasing order.\nAnswer: -3256, -35, -5, -2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1120055 and 10505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l**(-10)\/l))\/((((l\/(l*l*(l\/(l*l**(2\/5)))\/l*l*l))\/l)\/l)\/l))**(10\/3))**38 assuming l is positive.\nAnswer: l**(6308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 12) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -63103452\nAnswer: 5\/63103452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 195.8486543 rounded to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -4*d - 2*w - 22, -11326*d + 11324*d = -4*w + 20 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 292*m**2 + 4*m + 2*m**5 - 292*m**2 - m wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(32) - (sqrt(32) + -5 + sqrt(160)\/sqrt(5)) - sqrt(32)) - ((sqrt(2) + 2)*2*-5 + 0))**2.\nAnswer: 340*sqrt(2) + 2337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 541204304 + -3?\nAnswer: 541204301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 200 * -0.4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/h**(-2)))**32\/(h\/(h**3*h)*h*h**8) assuming h is positive.\nAnswer: h**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 12*m - 8*m + 4*a, -10 = 2*m + 3*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (95 - (-126 + 207)) + (3 - ((0 - -141) + -1))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b**2\/2 - 272010444*b - 12331613607512856 = 0 for b.\nAnswer: -90670148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -351 * -1.767\nAnswer: 620.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 310, 743, 1908, 4171, 7898, 13455, 21208?\n\"Answer: 61*q**3 + 6*q + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18\/769 + 53457\/16918. Calculate the common denominator of i and ((-465)\/(-25))\/(((-88)\/(-10))\/2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = 5*u - 62, -449*u + 438*u = -21*b - 554 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -8859000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.8 - 5.2. Let i = -3 - h. Let t = 4 - i. Which is the third biggest value? (a) t (b) 0.5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/7 at most 2633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 247\/20 - 63\/5. What is the biggest value in -3, 12, b, 2\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3028, -363, 2298, 4955, 7608?\nAnswer: 10257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 129001 (base 14) to base 4.\nAnswer: 2130011321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 11\/(2*1\/(-2)). Let s(c) = c + 16. Let b be s(j). Solve 0 = z + 5*q + 28, -z - q + 7 = -b*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1543 + 2420. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/(-8))\/((-3)\/(-12)). Suppose -a = -2 - j. Let i be 132\/110 - (-20)\/25. Solve a*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 4*p + 7*p = -4, -2*y + 12 = -2*p. Suppose 4*k - 100 = -6*k. Suppose -1 = -2*b + a + 44, 0 = y*a + k. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 203, 211, 225, 245, 271?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 - -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-123)\/39 + (-2)\/(-13). Let l(v) = v**3 + 5*v**2 + 8*v + 4. Let r be l(o). What is the remainder when 86 is divided by ((-18)\/12)\/(3*r\/176)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 155*z**3 - 2142651 - 31*z**3 + 2142651.\nAnswer: 124*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -460+-1.23\nAnswer: -461.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - 1. Let v = t - -5. Let r(j) = 2*j - 2*j**3 - v - 2*j - 2*j. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 363828173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2774 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4496 + 4497. Which is the fifth biggest value? (a) -1\/10 (b) o (c) -1\/4 (d) -1 (e) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v**2 + 102*v + 76. Give f(52).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1\/(-2))\/(20\/(-960)). Suppose 6*f = 72 + s. Calculate the remainder when 42 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 15062 and 3101.\nAnswer: 105434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 54 + 2. Let j = a - 40. Suppose -2 = h - 4. What is the lowest common multiple of h and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.7 + -2.62. Let g = -2.3 + 18.3. Let t = 15 - g. Which is the second smallest value? (a) t (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 67, 0, -3, 6, -1 in descending order.\nAnswer: 67, 6, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, u: 3, f: 1}. What is prob of sequence ukf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y - 3*y - 68 + 103 + 6*y - 41 + y**2. Calculate t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2 + 5 + -48 + -2. Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the second derivative of -d**7\/1260 + d**4 - 8*d. Let q(p) be the third derivative of w(p). Let c(j) = 4*j + 8*j + j. Determine q(c(o)).\nAnswer: -338*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -56 - -12. Find the common denominator of -41\/8 and 2 - (-3 - 348\/p).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 90960 to the nearest 1000.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**3 + k**3 + 7*k**3 + 4*k - 4*k - k**3 + (-1 + 1 - 2*k**2)*(k + 3*k - 3*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*q - 56 - 97 = 0. Which is smaller: q or -14?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12084*n + 821*n**4 + 1955*n**4 - 9276*n wrt n.\nAnswer: 33312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2511982 to the nearest 1000.\nAnswer: 2512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -71449049\/57030 + -6\/9505. Let f = i - -1240. What is the common denominator of -44\/5 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4687*q - 799*q = -389835 + 102123 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -47*i**2 + 282*i - 43. Give s(8).\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 PM and 5:58 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (3 + 0 - 2) + 2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 142292.9l?\nAnswer: 142292900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 229738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1411, -3056, -5613, -9088, -13487, -18816?\n\"Answer: -g**3 - 450*g**2 - 288*g - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 492900126?\nAnswer: 2, 3, 82150021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 2370*z**2 - 107*z + 458. Is 115 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 14*n + 13. Let l be (-81)\/(-15) + 10\/(-25). List the prime factors of i(l).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -12*d + 38. Let l be (-13)\/(195\/40)*15\/4. What is the units digit of h(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -87*y + 86*y + 14. Suppose 2*w - y*w = -24. Suppose -w*u - 3\/2 - 1\/2*u**2 = 0. What is u?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4885701 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/70)\/((416\/273)\/32*27).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 784*w + 34*w + 205*w = -158*w - 48421 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**3 + 7*c**2 + 5. Let d be i(7). What is the nearest to 3 in -12, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 5*c + 28. Let u = -32 - -80. Calculate the common denominator of (4\/8*-1)\/(c\/74) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 + 16*r + 4339. Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r - 5*r - 6 = 0. Calculate the lowest common multiple of (7\/3)\/(3\/9) and (r - 2)\/((-6)\/(-30)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10751, 21500, 32249, 42998, 53747, 64496?\nAnswer: 75245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/754 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of -u**5\/60 - 5*u**2. Let j(z) = -2*z**2. What is j(i(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = k**3 - 4*k**2 - 8*k + 6. Let x be v(5). Calculate the least common multiple of x*(12\/(-14))\/((-324)\/(-168)) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000009781806 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express d + 5 - 5*d - 2 - 3*d in the form f*d + v and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g = 2*y + 4, 4 = -7*g + 5*g. Let f = -61 + 37. What is the remainder when 2*y\/(-6)*f is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 1511253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.48 + -3.48. Let n = -4.8 + 5. What is the closest to -0.1 in 4, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -263256, -526488, -789720?\nAnswer: -1052952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*j**2 - j**2 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**2 + 9*f + 27. Suppose -2*b - 23 = 4*m + 1, 9 = -3*m + 3*b. Let h be j(m). Solve 2*l - 5*k - 17 = 3*l, 2*l = -k - h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 262686 to the power of 1\/2, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1434398 is divided by 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5936 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 5*k + 1. Let q be h(5). Let c(a) = 6*a + 1. Let y be c(2). What is the greatest common factor of y and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -357868 divided by 7.\nAnswer: -51124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w + 9. Let m = 12 + -7. Suppose 0 = m*t - t - 16. What is j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 4*j**3 - 5*j**2 + 7*j + 2. Let u(q) = -5*q. Let a be u(-1). Let r(w) = -2*w + w**3 - 2*w**2 + 1 + w**3 + 5*w. What is a*r(g) - 2*h(g)?\nAnswer: 2*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 54*t + 111. Let p be n(-2). Let a(i) = -3*i + 3. Let b(x) = 7*x - 5. Calculate p*b(g) + 5*a(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 - 2*f - 9. What is the tens digit of m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = -z + 6. Let t be 2\/(z\/(27\/(-6))). Suppose 2*i = -0 - 10. Put i, t, 5 in decreasing order.\nAnswer: 5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 5320\/43890 + (-1839)\/198\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -11*r**2 - 4*r - 2. Determine k(-4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12 - 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -3*o**3 - 3*o**2 + o + 4. What is the remainder when m(-2) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/10 - (-126)\/(-15). Let g = c - -17. Let z(x) = x**3 - 7*x**2 - 18*x + 1. Let l be z(g). Solve q + 0 = l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - j - j = -1, 5*t + 3*j = 11. Suppose -2 - t = -3*w. Let o be (-3)\/w - -2 - -4. Solve -2*n = -2*d - 4, 0 = d + o*d - 2*n + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ltlulxltuxlqatalttlu. Give prob of sequence xxt.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 451524 - -5?\nAnswer: 451532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225336 is divided by 17603.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m + 3. Let j = -4 + -5. Let p(g) = -4*g - 7. Suppose -2*t + 5*r + 23 = 0, 5*t - 3*r - 17 = -4*r. Suppose 4*x - 5*x = t. Determine j*c(z) + x*p(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1532953933 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 2*q - 14. Let x(p) = -6*p + 42. Calculate -8*o(i) - 3*x(i).\nAnswer: 2*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(15\/(-10)*4\/6). Let m(n) = -n**2 + 4*n + 7. Let c be m(5). Factor -o - c*a - 1\/4*a**3 - 5\/4*a**2.\nAnswer: -(a + 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 96.29709ml?\nAnswer: 0.09629709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*c - 174720 = -31*c - 37*c. What are the prime factors of c?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2220 is divided by 372.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -18 + 3 + 89*u + 5 + 7 in the form g*u + w and give g.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence neen when four letters picked without replacement from {n: 2, e: 2, f: 8}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3146, -701, 1744, 4189?\nAnswer: 6634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 1096110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from txxxrwwbxtrk. What is prob of sequence tk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 1 - 3)*(0 - 4 + 5 + 2 + 0 - 1 + 8 - 24 + 8 + (0 + 0 + 2)*(0 + 3 - 5) - 2 + 2 - 1)*(l**3 + 2*l**3 - l**3).\nAnswer: -66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 15\/7*o**2 + 0 - 6\/7*o + 3*o**3.\nAnswer: 3*o*(o + 1)*(7*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 15 = -4*m, -2*m = t + 3*m + 21. Let h(q) = -q**2 - q. Let k be h(t). Let d = 5 - k. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 9 + 1. Suppose -5*q + 110 = 5*c, -92 = -4*c - q - q. Suppose 2*g = 5*g + 5*j + 18, 4*g + c = -3*j. Sort n, 1, g in increasing order.\nAnswer: g, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -181*d**2 + 198*d**5 + 90*d**2 - 227*d**5 - 293 + 91*d**2 - 2*d**5 + 2 - 2 + d**5 - 3*d**5 + d**5 + (-d**4 - d**4 + 3*d**4)*(d + d - 4*d).\nAnswer: -34*d**5 - 293","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 712 + -698. Solve o*q + 0*q = 56 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9\/7, -4, -252\/59 in descending order.\nAnswer: 9\/7, -4, -252\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 5*t = -3*x + 6, 5*x - 30 = -5*t. Let c be (8\/(-10))\/(1\/(-5)). What is the derivative of c*y**x - 5 - 7*y**4 - y**4 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*m - 5*m + 5*m)*(27 + 3 + 27)*(2*m + 1 - 1) to the form g*m**2 + r*m + q and give g.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/12 and -35\/17592.\nAnswer: 17592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 95, 156, 235, 338, 471, 640, 851?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1011 - 1112?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -2656312 (base 13) to base 6.\nAnswer: -1110002541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 394 not equal to 6723\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -25*g**4 - 5*g**2 - 32. Let t(m) = 26*m**4 + 4*m**2 + 32. Let q(h) = -4*c(h) - 5*t(h). Differentiate q(l) with respect to l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 926896237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -28*c**4*p + c**3*p + 92*c*p - 13*p + 5002 with respect to c.\nAnswer: -112*c**3*p + 3*c**2*p + 92*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 26, 69, 128, 209, 318?\n\"Answer: h**3 + 2*h**2 + 30*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 7*r + 5*r = -446, 2*i = 2*r + 434. Let g = i - -158. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 11 - 5. Let m be (0 - 0)\/a + -3000. What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*g + 2 - 4*g - 4*g + 4*g - 3*g - 2*g + g + 0*g - 3*g + (g - 1 + 1)*(-1 + 2 + 0).\nAnswer: -8*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let 5*l**3 + 48310*l**2 + 104415995*l + 104367690 = 0. What is l?\nAnswer: -6399, -3262, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 2\/21, 1\/7, 3\/5, -25.6, 5, 6.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -3*c + 2. Let v be l(4). Let o = -2 - v. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 divided by 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -2 (c) 63 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3\/83 (b) -3.978 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 2981 - -3.\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -276798 + 4980203\/18. Let a = w - -120. What is the common denominator of -57\/8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -73 - -123. Calculate the greatest common divisor of 125 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 740 and 6734.\nAnswer: 67340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 44889832 and 4571.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 3*n - 36 = 0. Let z = n - -14. What is the units digit of (-58)\/z + 1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n**3 + 402*n**2 + 9132*n - 318. Give z(-105).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 47*d - 47*d + 92*d**2.\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2065 is divided by 111.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 9) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 624 (base 7) to base 9.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*s + 68 - 134. Suppose -11 = -4*n - 3*j, -7 = n + j - s. Sort 3, 5, n, -6 in increasing order.\nAnswer: -6, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor f**4\/3 + 40*f**3\/3 - 41*f**2\/3.\nAnswer: f**2*(f - 1)*(f + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -111 + 2107\/19. Let h = -69.1 + 67.1. What is the nearest to h in l, -2\/13, 4\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 plus -6506242862?\nAnswer: -6506242865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 3*x - 19. Let m be r(8). Factor -2*t**2 - 5 + 12 + 17 + 18*t + m*t**2.\nAnswer: 3*(t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101815 - 501*d - 101815 - d**2 + 515*d.\nAnswer: -d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31 + 297\/10. Calculate the common denominator of z and -87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 28262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20*(-5)\/8*(-192)\/240.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 13*s**2 + 4*s + 2. Calculate the lowest common multiple of p(-1) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -x - 2, -x = 4*x + 3*w - 4. Suppose -5*f + 4*v - x*v - 12 = 0, 0 = f + 4*v - 2. Let t(c) be the third derivative of -c**4\/6 - c**2. Give t(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 - 19*y - 15. Calculate c(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 258, 354, 618, 1134, 1986, 3258?\nAnswer: 5034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of o**4\/2 - 44*o**3 - 211*o**2 + 552*o + 3794. Factor w(j).\nAnswer: 2*(j - 69)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y + 4*y - 50. Let h(v) = 4 + 2*v - 5 + 0. Calculate the smallest common multiple of h(3) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 8*x - 266. Let c(h) = h**2 + 10*h - 47. Calculate the remainder when c(-19) is divided by t(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 352 and 367664.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -10*u + 393. Let q be s(39). Suppose -a + 272 = 92. Suppose 3*j + q*j = a. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 216 and 1191438?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 4*d = -1248 + 3412, 0 = 2*n - d - 4356. Suppose 4*k - 9*k + n = 0. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -14 + 5*p**2 + 14 + 7*p**2 as i*p + y + u*p**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - 12 = -2*h. Suppose a = -2*a + h. What is the third derivative of 3*f**4 - 2*f**a - 4*f**4 + 3*f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6*c**4 - 20 - 2*c - c**3 + 16 + 7*c**4 + 19 as v*c**4 + x + p*c**2 + q*c + l*c**3 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the third derivative of l**6\/80 + l**5\/8 + l**4\/8 - 2*l**3 + 2*l**2 - 9. Find b such that z(b) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(30)\/(sqrt(6)*-4) + ((sqrt(180)*-4 - sqrt(180)) + -3)**2.\nAnswer: 719*sqrt(5)\/4 + 4505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 42*g**5 - 415*g**4 - 5*g**3 - 14*g + 2126 wrt g.\nAnswer: 840*g**3 - 4980*g**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 92 - 87.3. Let l = -5.1 + g. Let p(r) = -r - 9. Let j be p(-5). What is the closest to 2 in j, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-699 + 699 + 84*a)*(4*a - 2*a**4 - 4*a) + 0*a**5 + 7*a**5 - a**5.\nAnswer: -162*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -1\/3 + 1\/3*m**2 - 1\/9*m**3 + 1\/9*m = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010 + 11001100?\nAnswer: 11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -923*q**2 + 2*q + 1. Let s be t(2). Let u = s - -6436. Suppose -2*h = -5*z - 1236, -4*z = 5*h - u - 308. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - -0.5. Suppose 5*i + 6 = 4*i. Let z be 3\/i - 0\/1. Which is the closest to z? (a) 4 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 44*x - 261. Let y be g(6). Sort 0, -4, y in ascending order.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1499*m = 1498*m + 186. Let h = m - 45. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 247672\/36 + 8\/36 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*o + 7*o + 0*o)*(11*o + 4*o + 2*o) to the form a*o**2 + u + i*o and give a.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-459)\/(-340)*(-88)\/(-66)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 335817 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-20632 - -7)*(-42)\/(-35). What is the hundreds digit of ((-10)\/(-4))\/((-11)\/y*9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:31 PM and 8:59 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (21\/(-14))\/((-3)\/10). Suppose 5 = -2*x - 4*h + 3, -h - 5 = -4*x. Solve a*u - 4 = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 r when three letters picked without replacement from mqtrc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 4*r = -9*r + 28, -3*r = -15. Let p(o) = o - 1. Let v(b) = 4*b**2 - 9*b + 4. Let i(n) = c*v(n) + 4*p(n). Find the second derivative of i(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:58 AM and 5:17 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = 3*p - 98. Let t be (-14)\/p - (-54)\/7. Which is smaller: t or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*l - 5*l - 6, -m - 3*l = -54. What is the lowest common multiple of 36 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1363956 is divided by 430?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -5. Suppose -3*c + i + 22 = o*i, 2*c = -2*i + 16. Suppose z + 40 = c*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 99*26.2.\nAnswer: 2593.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 462056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/11 - (57 - (-13772)\/(-242))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*d = 18*d + 870. Let t(r) = -16*r + 1. Let z be t(-2). Let l = z - d. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -14*w + 60. Let d = 4 - -3. Suppose -b - 4*c = -d*c + 12, -w*b + 5*c - 20 = 0. Solve b*v + 4 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**30)\/y*y**0*(y**2)**(17\/3) assuming y is positive.\nAnswer: y**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15211615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -2001.778205 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(325)*2 - (sqrt(325) + 2 + sqrt(325) + 0))**2 + -1 - 4*(-3*-2*sqrt(325)*-1)**2.\nAnswer: -35097 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-6)\/24 + (-257)\/36 and (-1 + 0)\/(18\/151)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2607936\/348 - (-4)\/(-58)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 6:50 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(3\/7)\/(v*v*v**(-13)))\/(v**27)**(-1\/5))**(-46) assuming v is positive.\nAnswer: v**(-27094\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 5, -4, -5 in decreasing order.\nAnswer: 5, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 3*z**2 + 220*z + 498. What is the lowest common multiple of 90 and m(-72)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1614310 - -3?\nAnswer: 1614313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22327 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79*((-21)\/(-1400))\/(12\/16) and 53\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 511100662 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8842845?\nAnswer: 3, 5, 11, 53593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36 - -1 - -9) + 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 101*r + 104. Let p be x(-1). Let b = 10 - 8. Let f(o) = b + 1 + 6*o - 3. Give f(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 22\/4)*(-1004)\/1757.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -135 + 156. Calculate the smallest common multiple of 15 and u.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3227869 + -252131. What is c rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 3185 = -3*j - 6*c, -5*j = -5*c - 5355. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111001110 - 101100?\nAnswer: 1110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45724712.\nAnswer: 2, 11, 503, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 13) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 0*w + 30 = 0. Let o = w - 0. Suppose 0 = -2*n - 2 - o. Which is bigger: -7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12631690 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v + 31. Calculate q(-19).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2, -18, -44, -80, -126, -182?\n\"Answer: -5*y**2 - y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*n**3 + n**3 + 3*n**3 + (-2*n + 7*n - 19*n)*(5 + 2*n**2 - 5) - 2*n**3 + 59*n + 8*n**3 - 4*n**3 to c*n + r*n**2 + t + i*n**3 and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - -5. Let v = 9 - r. Calculate the least common multiple of v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -11011, -11017, -11025, -11035, -11047, -11061?\n\"Answer: -i**2 - 3*i - 11007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2. Let d(q) = 29*q**3 + q**2 + 208*q + 2. Let j(m) = -d(m) + u(m). What is the second derivative of j(p) wrt p?\nAnswer: -174*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 + 12*s**2 - 30*s + 358. Calculate d(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*q**2*s - 168*q**2 - q*s**4 - 7*s wrt s?\nAnswer: -2*q**2 - 4*q*s**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -6*r**3 - 2*r**2 + 2*r + 13. Let m(a) = -a**3 - a**2 + a - 1. Let h(y) = 2*m(y) - z(y). What is the first derivative of h(u) wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -49 - -51. What is the closest to a in -0.4, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 21\/5, 3, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/115 at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes before 3:08 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 297*n - 296*n - 2*l, -5*n = -4*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p**3 + 90*p**2 + 3*p - 14. Let o be h(30). Solve -59*c = -78*c - o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.6 - 0.1. Let s = -0.06 - -0.46. Let c = z - s. Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 433 - 52. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -5*y - 14. What is the tens digit of j(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of 29\/24*l**4 - 7*l**2 + 0*l - 2 + 0*l**3. Let n(b) = 2*b**2. Give n(u(m)).\nAnswer: 1682*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 189 + -192. Let i be (-3)\/n - 81\/(-9). Calculate the greatest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/33 + (-1030)\/(-30) + (-12 - -13 - 8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the first derivative of 0*g + 0*g**2 + 1\/120*g**5 - 8\/3*g**3 - 46 - 5\/12*g**4. Let b(j) be the third derivative of y(j). What is b(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 8:35 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 10*n**2 - 4*n + 5. Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 107? (a) 22\/7 (b) -4 (c) 158\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + 2. Solve -20 = 5*w - 5*u, 3 = 3*w + q*u + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -13\/985 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1524 divided by -762.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -537 + 529. Which is the closest to -0.1? (a) 0 (b) i (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2184 and 4508868.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 AM and 6:07 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5827 + -0.0108.\nAnswer: 5826.9892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(33\/7)*f*f**3\/f)**(-7) assuming f is positive.\nAnswer: f**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*i + 5*q + 22, -4*q - 10 = 5*i. Let k(a) = -a**3 - a**2 + 2*a - 2. Determine k(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 4*z + 6 - 2 + 41*z**2 - 21. Let q be n(-11). Round q to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 140745 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3 + -1 + 3 + -4 + 17. Suppose h*r - 144 = 4*r. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 5*f. Let o(c) = c**2 + c + 1. Let u(b) = -3*b**2 - 2*b - 2. Let z(s) = -6*o(s) - 3*u(s). Determine z(k(n)).\nAnswer: 75*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes before 6:28 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20 + (-2 - (-2 - 2))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -182*p = -187*p - 35, -44 = -3*a + 5*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/(-1))\/(4\/(-10)). Let k = 7 + b. Find the second derivative of 3*u - 3*u**3 - k*u - 4*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -c**2*x**2 - 379*c**2 + 57428*c*x**2 - 225*x wrt x?\nAnswer: -2*c**2 + 114856*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18 - 10. Let i = -25 + 35. Calculate the lowest common multiple of i and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 55\/(-10) - ((-12708)\/2640 - 6\/360*3)\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -30 + 2d0d36?\nAnswer: 2d0d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 324 and 18.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*248\/(-196)*56\/16.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28 and 431356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*x + 314*x**5 + 2*x**4 + 25*x**6 - 2*x**4 + 3*x**2 - 313*x**5 wrt x.\nAnswer: 3000*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -4886*c**2 + 2441*c**2 + 2440*c**2. Let j(d) = -102*d. What is g(j(m))?\nAnswer: -52020*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 660*l + 5210914 = 30799114. What are the prime factors of l?\nAnswer: 2, 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + -1)\/(-3) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-1)*-1 + 15. Let l = -7 + b. Suppose l*f + 8 - 103 = 0. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.407 times 513612\nAnswer: -209040.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92690?\nAnswer: 2, 5, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -26555704 divided by -53432?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 1968*x**2 - 1192*x**2 - 1017*x**2 + (0*x + 5*x - 3*x)*(-5 + 5 + x).\nAnswer: -239*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2079*g = 2187*g + 1529 - 4661 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 303 and 35626639.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 8 (c) -788 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -2*z - 3*a - 3, -a + 1 = 0. Let f = -7 - -10. Find i, given that z*i**4 - 2*i**4 - 29*i**4 - 6*i**2 - 6*i - 3*i**2 + 36*i**f = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6010308\/5 or 1202061?\nAnswer: 6010308\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 j when four letters picked without replacement from {o: 5, y: 1, f: 4, k: 4, j: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 781197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10 + 4. Suppose -p + 29 = -5*o, -p + m = -o - o. What is the third derivative of -4*b**2 - 4*b**2 + 5*b**2 + 3*b**4 + 0*b**p wrt b?\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 2\/4403, -1, -3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of j**5 - 3*j**4\/4 - 5*j**3\/3 + 3*j**2\/2 + 134. Find m such that v(m) = 0.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from ufw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7889, -15829, -23771, -31715, -39661, -47609, -55559?\nAnswer: -63511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, a: 5, x: 5, t: 5}. What is prob of sequence taa?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -137\/3318 and -117\/10.\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 75220?\nAnswer: 1\/15044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 98.577 + -105.57684. Let q = -7 - a. Round q to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -327.5 + 328. Which is the biggest value? (a) 0.3 (b) -74\/9 (c) n (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/10 and 43\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q - 4. Give y(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**2 - 3*o - 129. Calculate f(9).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 83578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5516 - -5516. Solve 49*r + 118 + 127 = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2013 and 98637.\nAnswer: 98637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - k - 9 - 2 = 0, -4*b - 2*k + 26 = 0. Let c(a) be the first derivative of 3*a**2\/2 - 3*a - 1. Let v(r) = -r + 1. Give b*c(g) + 14*v(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 5*d = l - 3, 0 = -l - 2*d - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 7:45 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from mmmammmmmmrmrmr.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 91891 and 14153351?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + ((1 + sqrt(425))**2 - ((sqrt(1088)*3)**2 - sqrt(17))) + -3.\nAnswer: -9365 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -33\/8, -4, 3 in ascending order.\nAnswer: -5, -33\/8, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 82 - 78. Solve 9 = -5*r + z*y, 28 = -4*r - y - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 47485935 to the nearest integer?\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11682 and 23056374?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -281 + 1969\/7. Which is the third smallest value? (a) -5\/2 (b) -0.02 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 5 (c) -18\/7 (d) 2 (e) -5\/11 (f) 1 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6008 and 49976797.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p**3 + 9*p**2 + 6*p - 5. Let v(y) = -y**3 + 9*y**2 + 6*y - 4. Let i(f) = -4*b(f) + 5*v(f). Solve i(o) = 0 for o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9001 is divided by 153?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - (-1 + -10)) + 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of -z**5\/20 - z**3\/3 + 3*z**2. Let n(h) be the first derivative of x(h). Let v(p) = 2*p. Give n(v(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1128099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**1\/(i**(1\/2)*i)*(((i*i*i\/(i*i\/(i**(-3\/4)\/i)*i)*i)\/i)\/i)\/(i\/(i**(1\/10)*i)) assuming i is positive.\nAnswer: i**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 6 = -26. Suppose -4*z + 387 = -o*w, 3*z - 149 = -3*w + 148. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 27207202.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 + 7*m + 9. Let a be k(-7). Let w = -8 + a. Solve w = -s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1836939264 divided by 3.\nAnswer: 612313088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1*(-2)\/(-1)*6\/4. Suppose 0 = -4*l + p*h + 372, 3*l - 71 = 2*h + 207. What is the second derivative of 7*n - 90 + l - 5*n**4 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r = 9 - 15. Let o be -1 - (1 + 21\/(-11)) - 92\/(-44). Which is the nearest to o? (a) r (b) 1\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 1273 = -152*t - 1121*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 5*n - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 + 8 + 4 - 17*m to the form r + f*m and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 198*q + 23 - 230*q**3 - 6*q**2 + 22 - 45.\nAnswer: -230*q**3 - 6*q**2 + 198*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 326 is divided by 14 + (-108)\/(-12) + -20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (2\/4)\/(1\/74982) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 7 = 5*m, -3*m + 5*m = -6. Suppose -3*k + b + 11 = 0. Suppose 7*c - 11*c + 24 = 0, 0 = -2*o + 3*c - 18. Solve -6*r + 5*r + k = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 224, 451, 678, 905, 1132?\n\"Answer: 227*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82397 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(-3))\/m)**(-3\/22)\/(m\/m**(-4))**(3\/28) assuming m is positive.\nAnswer: m**(-291\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - 8*w + 5. Let x be z(-8). Suppose x*d + 2*h = 9, -3*d = -0*d + h - 6. Solve 20 = d*l - 8*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((-2*sqrt(77))\/sqrt(7) - -3*sqrt(99))**2.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -1450001*c**3 - 7501*c + 22503. Let q(j) = 1160*j**3 + 6*j - 18. Determine 15002*q(r) + 12*y(r).\nAnswer: 2308*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1652.001 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + ((sqrt(2057)*-2 - sqrt(2057)) + 4)*3 - (0 + (sqrt(85)\/(sqrt(5) + (sqrt(5) - -2*sqrt(5))) - (sqrt(153) + 2))))**2.\nAnswer: -2310*sqrt(17) + 2522129\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*f + f - 5*f)*(2*f - 2*f - f**4).\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 2*m**2 - 6*m - 8. Let d(f) = 3*f**2 - 6*f - 9. Let z(b) = 3*d(b) - 4*y(b). Let k be 1\/(0 - 1\/(-6)). Suppose 0 = -o + 2 - k. What is z(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -237*f + 3*f**2 - 2*f**2 + 237*f to o*f**2 + x + i*f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -0.9, 4, -362 in descending order.\nAnswer: 4, 3, -0.9, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.94 - -0.06. Let z = 2.9 - 3.4. What is the nearest to t in 0.1, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38935*l**3\/7 + 233612*l**2\/7 - 272533*l\/7 - 2 = 0.\nAnswer: -7, -2\/38935, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 9) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 2*z = -y - 2, -3*y - 5*z = 13. Let d be (-1)\/(4 - (y + -1)). Let a(f) = 1. Let o(v) = -2*v**2 - 2*v - 1. What is d*a(g) + o(g)?\nAnswer: -2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 327.7163 - -11?\nAnswer: 338.7163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*y**3 - 269945*y**2 + 2428750*y + 18893000.\nAnswer: 5*(y - 53980)*(y - 14)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-10)\/(x\/((x\/(x\/((x\/(x*(x*x*x**0)\/x))\/x)))\/x)) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p**3 + 39*p**2 + 153*p + 189 = 0. Calculate p.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -13, -26, -71, -166, -329, -578?\n\"Answer: -3*u**3 + 2*u**2 + 2*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/92 - (-275 + 20729514\/75348).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 44 + -46. Put h, 18, 2\/11 in increasing order.\nAnswer: h, 2\/11, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1927019473 to the power of 1\/3, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 11\/7 (b) 0.3 (c) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of 61*s**4\/4 - 6509*s. Let n(w) = -9*w. What is q(n(p))?\nAnswer: 14823*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*m**3 - 10*m**3 + 24*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15\/37 - 863\/2220. Let j(z) be the third derivative of 0*z + o*z**5 + 2*z**2 + 0 + 0*z**3 + 0*z**4. Determine i, given that j(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**3 + 2*i**2 + 3*i - 3. Let j be u(2). Let z be (-2)\/(-5) - j\/(-5). Solve -16 = 5*t - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(475) - sqrt(475)*1)*2 - (5 + (sqrt(475) - sqrt(475)*1)))*-6 + ((sqrt(475) + 0 - sqrt(475)) + 3 - (-4 + 0 + sqrt(475))) + -1)**2 + -2.\nAnswer: -360*sqrt(19) + 1769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**2 - 329*q + 240. What is the smallest common multiple of c(0) and 42?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbtt when four letters picked without replacement from bbbbbbbbbbbttbbbbt?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = -2*g - 366, -5*i + i = 4*g + 368. Let k = -61 - i. What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7 + 5)*(-26)\/39.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -24, -85, -244, -549, -1048?\n\"Answer: -8*m**3 - m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes after 6:40 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-6)*(12\/(-39) + (-613546)\/14456)\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 (base 10) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -95 + 202 + 8*u - 74. What is the tens digit of r(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 AM and 4:09 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18730, -18737, -18748, -18763, -18782?\nAnswer: -18805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 11188 = 2*v, -91*v + 95*v = -4*g + 22364. Calculate the highest common divisor of v and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 + 16. Solve 4*z + z + 10 = d*v, 5*z = v - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -262 or -2348\/9?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -43*t**3 + 1006*t**2 + 77407 wrt t?\nAnswer: -129*t**2 + 2012*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -71 + 79.9. Let m = -0.1 - q. Does -1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 237057878\nAnswer: 1\/237057878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 28*d + 56, 5*p = 5*d - 28 + 53 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -16*h - 189. Let b be l(-12). Suppose 5*i - i - 20 = 0. Solve 3*j - 25 = i*d, -3*j + b = -4*d - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 191 is divided by 58.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 379340999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -22796, -47427, -72058, -96689, -121320, -145951?\n\"Answer: -24631*x + 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 418 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 206, 27, 1, -3030, 3 in descending order.\nAnswer: 206, 27, 3, 1, -3030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the third derivative of z**6\/120 - z**5\/20 + z**3\/6 - 16*z**2. Let r be h(3). Calculate the common denominator of r\/4 + (-2)\/6 and -79\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 65802525 or 131605049\/2?\nAnswer: 131605049\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 + 161*n + 495. What is the smallest common multiple of g(-3) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -4*k + 18, 2*k - 3 = 3. Let h be 4\/(0 - -1) + u. Is 3\/5 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9381774 + -168932723\/18. Let p = y + 3380. What is the common denominator of 57\/16 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 77042497*p**3 - 2*p**2 - 8*p + 1997013?\nAnswer: 462254982*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -1021 and -123470173008.\nAnswer: -123470174029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2294?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.04, -0.566.\nAnswer: -0.566, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-7)*m\/m**2)\/((m\/((m*m*m**(6\/7))\/m)*m*m)\/((m**(-10\/7)\/m)\/m)) assuming m is positive.\nAnswer: m**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-6)\/v)**(-35)\/(v*v\/(v**(-3)*v))**(-9\/10) assuming v is positive.\nAnswer: v**(1243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 195\/14 - 1249\/56. Find the common denominator of (-1)\/(-5) - 1468\/(-160) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j + 112 = 16*j. Suppose 0 = -g - 5, -3*k + 2*g + j = -5. Solve 2*n = k*p - 2*p - 12, 4*p - 3*n - 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -3*q + 2. Let a = 1480 - 1484. Let y(s) = -8*s + 6. Suppose 3*z = z + 10. Let u be 57\/z - (-4)\/(-10). Give a*y(f) + u*t(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -39*x**3 - 37*x**2 + 6*x. What are the prime factors of b(-7)?\nAnswer: 2, 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g + 4*g - 3*g)*(489 + 498 - 262 - 11).\nAnswer: -1428*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*q**2 - 26*q + 26*q)*(-2*q**3 - 2*q**3 + 3*q**3) + q**5 - 3*q + 3*q + (q**2 - q**2 - 2*q**4)*(-2*q - 3 + 3) - 6*q**5 + 2*q**5 + 0*q**5.\nAnswer: 11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x**5 + x**4 - x**4 + x**5 + 0*x**4 + 0*x**4 + 3*x**5 - x**5 + x**5 + (-x**5 - x**5 + 3*x**5)*(1 + 3 - 1) + 43*x**5 - x**2 - x**2 - 4*x**4 - 42*x**5.\nAnswer: 10*x**5 - 4*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6222 is divided by 156?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 348 is divided by 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 + m**2 - 1. Let f(a) = 3 + 7*a**3 + 1 - 8*a**2 + 3 - 3*a. Let y(t) = -6*c(t) - f(t). Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 231*t - 113*t - 61*t in the form n*t + l and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t - 4. Let m be i(-6). Let h be ((-40)\/12)\/(m\/(-60)). List the prime factors of h\/16 - (-1)\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -27687111 to the nearest 100000.\nAnswer: -27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 + 9 - (-2 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 72 - 13. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/441 + 1169772\/(-16254)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4941275\/284146 + -61\/4583. Let h = l + -34\/31. Calculate the common denominator of h and -131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from rerejnekjjddd.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -5, -3*c = -f - 0 - 2. Does 22 divide 7*(f - -5 - -14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 - -1251?\nAnswer: 124d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1587, -1594, -1603, -1614?\n\"Answer: -c**2 - 4*c - 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 165*t + 12800 = 121*t - 276*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2 - (-2 - -2 - 3). Let d = 5.8 - 6. Which is the closest to o? (a) -4 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 47 + -69. Let m = t + 34. Let d = 14.4 - m. What is d rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*j**4\/5 - 4*j**3\/5 + 7*j**2\/5 + 4*j\/5.\nAnswer: -j*(j - 1)*(j + 1)*(7*j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -86 - -119. Suppose 3*g + 0*g + 71 = 2*p, 0 = -p + g + b. Solve -6*n + 4*z + p = -4*n, 2*n - 3*z - 23 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 31086926.98 to the nearest 1000.\nAnswer: 31087000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**3 - 73*m**2 + 183*m + 1908. What is f(70)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/37, 1\/612, 5, -2\/7, 3.\nAnswer: -2\/7, -2\/37, 1\/612, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is y in -2\/7*y**5 - 4*y + y**4 + 30\/7*y**3 + 5\/7*y**2 - 12\/7 = 0?\nAnswer: -2, -1, -1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:20 PM and 6:09 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 54 - (65 + -38 + -7)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the third derivative of 48*u**3 + 2\/15*u**5 - 108*u**2 + 0 + 3\/10*u**6 - 14*u**4 + 0*u + 2\/105*u**7. What is g in q(g) = 0?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000008489 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**2 - 11*b - 15. Let r(o) = 2*o**2 + 22*o + 30. Let h(l) = -3*r(l) - 7*w(l). Give h(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2466494, 4932988, 7399482?\n\"Answer: 2466494*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -217, -222, -227, -232, -237?\n\"Answer: -5*p - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z**2 - 40*z - 4045. Give b(56).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z**2 - 2*z + 3. Let r be (10\/6)\/(25\/30). Let i(l) = -r*l + l - 9 + 10. Suppose 4*a + 0*a = -2*s + 6, -5*s = -2*a - 27. Give a*p(f) + 3*i(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1815171855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xmxmmxmmxmxmmxmxxxwx. Give prob of sequence wmm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -87*f**3 - 20*f - 7. Let y(s) = -43*s**3 - 9*s - 3. Calculate -3*g(l) + 7*y(l).\nAnswer: -40*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 53\/5 of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (12\/(-14))\/(12\/(-56)). Let s(l) = 2*l**2 - 5*l + 6. List the prime factors of s(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.15, 0.39071, 0.6 in ascending order.\nAnswer: 0.15, 0.39071, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 2*m = 350. Calculate the remainder when 698 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34280461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b - 4*b + 12. Let y(j) = -3*j + 51. Let s be y(17). Solve h = b*f - s*h, -6 = -2*f - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 400\/(-140) + 3*1. Put 0.1, -23, o in decreasing order.\nAnswer: o, 0.1, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1771*j**4 - 3*j**2 - 13 - 1770*j**4 + 14*j + 4*j**2 as h*j**2 + z*j**3 + u + x*j + g*j**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 306, 164, -218, -960, -2182?\n\"Answer: -20*o**3 - 2*o + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -11142313 (base 6) to base 16\nAnswer: -53085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**3 - 7*y**2 + 20*y - 85. Let b be d(6). Put 0, b, 12, -2 in descending order.\nAnswer: 12, 0, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(10)\/(sqrt(80)*-2)*5.\nAnswer: -5*sqrt(2)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 5*y + 123985, -4*y - y + 124015 = 4*t. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 0*m - 12 = -2*o, -5*o = -m - 18. Let p(j) be the first derivative of 0*j**m - 2*j + 4 + 0*j**3 - 1\/2*j**4. What is the derivative of p(z) wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 283, -1, -2, 2, -5, -85 in increasing order.\nAnswer: -85, -5, -2, -1, 2, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -244, 4, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -82*n**2 + 3*n - 9*n - 18*n**2 - 50*n**2 in the form p + h*n**2 + o*n and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**2 - 14*h - 50. Let y be i(17). Let x be -8*y\/(-20) - 0. Put -0.1, -1\/8, x, -2 in descending order.\nAnswer: x, -0.1, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 42*x**6 - 106*x**2 + x?\nAnswer: 5040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50 is divided by 15\/(360\/(-256))*(-3)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 4*y + 152 = 6*i, i = -3*y + 34. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -13881535 divided by 2776307\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.044168 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -4*a - 38*c + 43*c, 5*a = -5*c - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c = 4*j + 14*c + 25, 0 = -5*j - 4*c - 20. Solve -6*k + 4*k + 5*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 6*i + 17. Let t be s(8). Solve 0*v + 4*j - t = -v, 3*v - 3 = -4*j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 86 + -85.49. Let j = y - 0.726. Let a = 9.116 + j. What is a rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4181235242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/5, 4, 651?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 + 10*h**2 + 2*h + 13. Let i be d(-10). Let s be (0 - i) + -1 + -1. Suppose -65 = -2*g + s*a + 169, 0 = -4*g + a + 504. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 607 (base 9) in base 14?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87877 - 87877 - 13*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ico when three letters picked without replacement from coigogcoo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + 7 - -2) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 18480201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.4 - 2. Let o be (-5)\/20*(-12)\/1. Which is the nearest to 0.2? (a) s (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -146 - -81. Let t = -63 - f. Suppose -5*k = -5*l + 90, -7 = -l - t*k - 1. What is the remainder when 39 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3261 + 2835. What is the remainder when s is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 2956c (base 13) to base 4\nAnswer: 103000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2059600 rounded to the nearest ten thousand?\nAnswer: -2060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.1 - 0.1. Let n = -6 - -11. Suppose -2*u + 6 = 4*y - 8, u = 5*y - 21. Which is the nearest to x? (a) 0.1 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00065936999 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8 - 8.1. Let w = 0.17 - -0.03. Which is the closest to u? (a) 2 (b) -1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c + 28 = -13152*f + 13156*f, c + 7 = -3*f for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.054 and -1536902.\nAnswer: -1536901.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1442 a factor of 30346572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - (2 - (-9)\/(-3)). Solve u - 5*k = -10 - o, 2*k + 18 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 - -1) + -44 + 41 - 17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (45\/30)\/(-2 + 183\/90). Let g be 162\/o*(135\/(-6))\/(-3). Solve -5*y - 3*i + i = 23, -3*i = 5*y + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1510779 = 1588*n - 1591*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -96 - -161. Let x = j + 46. Suppose 4*h - o = -0*o + 125, 3*h - x = -5*o. Calculate the greatest common divisor of h and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1438682809 and -0.3.\nAnswer: -1438682809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000030433 rounded to 7 decimal places?\nAnswer: -0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -319997*x + 41. Let u be w(-15). Suppose 0 = -5*s - 3 - 2, -4*s + u = -4*j. Round j to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -34*j**5 + 45*j - 3.\nAnswer: -680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.5, 3\/44, 3?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g = 2*g - 2*g. Put g, 2, 5 in ascending order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -498, -792, -1094, -1410, -1746, -2108, -2502, -2934?\nAnswer: -3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is ((-290)\/(-3))\/(2\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 484889 is divided by 242419.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -0*o - 4*r - 32, 3*r - 15 = 0. Let z be (-6 + o\/8)*(1 + 1). What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*d - 601 = -649 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 220 and 47660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 1)*(-8*k**3 + 93*k**4 - 2080*k + 2080*k).\nAnswer: -93*k**4 + 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4552582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -554, -1107, -1660?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20539 and 1555283.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -113\/7236 and -50\/573.\nAnswer: 1382076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 20 = 0, 0 = -4*i - 4*m + 21 - 149. Is (16538\/10)\/(i\/(-140)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-8)\/w*w)\/w)**(-6\/23)\/((w**(-8\/7)\/w)\/w*w\/w**(-1\/10)) assuming w is positive.\nAnswer: w**(7069\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 5*x. Let f(b) = 16344*b. Give h(f(v)).\nAnswer: 81720*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from {e: 2, n: 2, u: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/6 smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5208 + 3*t + 5208.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -7 + 1, -42 = -d - s. Let q = 64 - d. Let x = 2947 - 2814. Calculate the greatest common divisor of x and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vg when two letters picked without replacement from uneavugg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13093 is divided by 313?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -195461 and -0.21.\nAnswer: 41046.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 30*o + 3 - 10*o + 3094*o**4 - 3096*o**4 + 4*o**2 in the form y*o**3 + m*o**2 + n*o**4 + c*o + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 233606 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(220) - ((sqrt(220)*2 + sqrt(220) + sqrt(220) - sqrt(220)) + sqrt(220))))\/(-2*sqrt(121)\/sqrt(11)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 101205779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, v: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-1)\/2)\/(0 + 1\/(-284)). What is the hundreds digit of w + ((-12)\/9 + 2)*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 - -1. Let v = -6 - -10. Let q = v + y. Which is the smallest value? (a) q (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of o**5\/72 - 97*o**4\/24 + 58*o**3\/9 - 1255*o**2. Find x such that a(x) = 0.\nAnswer: 2\/5, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6 (b) -4\/7 (c) 1077 (d) 1\/4 (e) -480 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 223*h + 81. What is the units digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10 - -10.4. Let q(d) = -d**3 + 8*d**2 + 9*d + 1. Let b be q(9). What is the nearest to b in -2, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -7 - 4*t - 6*t + 10*t - 3*t. Give n(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-4)\/l)\/l*l\/(l\/l**(-4\/7))*(l\/l**(-2\/3))**(-31) assuming l is positive.\nAnswer: l**(-1223\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -13462796 + 3\nAnswer: -13462793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -69 (b) -3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2056471 to the power of 1\/2, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 240*j**5 - 4*j**4 - 2*j**3 - 75*j - 64?\nAnswer: 4800*j**3 - 48*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 + -7. Let h be -34*(-25)\/v*-4. Let u = h - -240. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -530 bigger than -531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 24 = 3*r. Let y be -2 + -14 + 2\/2. What is the remainder when (1 + -4)\/(3\/y) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10 - -9) + -19 + 16 + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -8*r**2 - r**2 + r**2. Let q(a) = -2*a**2. Determine q(t(p)).\nAnswer: -128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11075.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108)\/sqrt(96) + sqrt(18))\/((-2*sqrt(12))\/sqrt(2) - sqrt(6))*-4.\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -904 + 24412\/27. Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 105 and 2981370.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2\/1 + (-53)\/8 and 1 - (-3 - (-35)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3315.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the third derivative of 16*o**6\/15 - o**5\/30 - o**4\/24 + 32*o**3\/3 - 173*o**2. What is the second derivative of u(m) wrt m?\nAnswer: 768*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 3, 5, 220?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(2*sqrt(128) + 4) + -1 + 3)**2.\nAnswer: 1792*sqrt(2) + 8388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 4*j - 10. Suppose -29 = -3*v + 3*m + 13, j*m - 20 = 0. What is the greatest common factor of v and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 993 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -282*o - 12879 = -309*o. Calculate the least common multiple of 45 and o.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 19349 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-35)\/6*(-168)\/210?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 6*o**3 - 88 - 13*o**2 + 84 + 4 as k*o**3 + c + d*o**2 + l*o and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aatgtttgt. What is prob of picking 1 g and 2 t?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r. Let m(y) = -1026*y**2 + 152*y. Let j(k) = 2*k**2 - k. Let x(h) = 152*j(h) + m(h). What is f(x(n))?\nAnswer: 722*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -2*p**2. Let x(c) = c + 2*c - 5*c. What is l(x(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -367*r + 18906. Calculate v(51).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11901\/(-4155) - -3 - (-51)\/(-170) and 7\/32.\nAnswer: 8864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 - 1. Let m(b) = b + 9. Let t be m(p). Solve -2*l + t = 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*a - 4*a + 6*a)*(a + 0*a - 2*a) - 2*a**2 - 2*a**2 + 0*a**2)*(152*a**2 + 812 - 812).\nAnswer: -912*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-474 - 412 + 491 + 3*f)*(2*f - f - 3*f)*(2*f**2 - 4*f**2 + 3*f**2) to the form k*f**4 + l*f + z + s*f**3 + q*f**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3374566387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -32*l**3 + l**2 + l - 5. Let b(v) = -59*v**3 - 11 - 6*v**3 + 2*v**2 + v + 0*v. Let k(h) = 2*b(h) - 5*f(h). Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00048590422 rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -9 - -10 - -86360*70\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y + 11. Let a be (2 - (-8)\/(-3)) + 28\/6. Let m be z(a). Suppose -5*f - 252 = -m*f. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 155768*0.04\nAnswer: 6230.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 177902383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1202 = 11*f - 102. Let g = -95 - f. Let s = g - -67. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 11241 and -4\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 61*z + 1597. Determine q(-42).\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let v be 1843 - (2 + (-9)\/3). Let u = 3237 - v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 12) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**2 + 113*j - 1712. Let x be z(18). Let q = 12 - 6. Put x, q, -4 in increasing order.\nAnswer: -4, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 152 + -1b?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-2)*(-2)\/(9\/(-18)*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16, -55, -132, -265, -472, -771?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) be the second derivative of -3\/2*o**2 + 0 + 0*o**3 + 1\/12*o**4 + o. List the prime factors of v(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 557947 greater than 557948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**2\/15 + 1112768*j\/3 + 773907888640\/3 = 0. What is j?\nAnswer: -1390960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 12826421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 23053147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/9*12*39\/7384?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + c - 7 = 0, 4*s + 4*c + c = 11. Let m be 2\/s - (9 + -9). Find l such that 0 + 1\/2*l + m*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2191, 1975, 1783, 1627, 1519, 1471, 1495, 1603?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2 + 16*j - 23 - 21 + 2*j. Does 33 divide m(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 595333 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 77, 838, 2897, 6902, 13501?\nAnswer: 23342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -24118*i**2 + 275 + 332 - 607 to the form u + f*i**2 + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000465103264 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*w**3 - 5*w**3 - 19*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 4*l + 3*l**3 + 12*l**3 - 1097 + 1093 - 14*l**3 + 5*l**2. Let o(a) = a**2 + 15*a + 10. Let m be o(-14). Give d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 264.5931ng?\nAnswer: 0.2645931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 284269, -2, -13, 2 in ascending order.\nAnswer: -13, -2, 2, 5, 284269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 17380035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79532402?\nAnswer: 2, 751, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (51*m + 1212 - 1212)*(-1 + m + 1) to the form k*m + n + d*m**2 and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 10000011000 (base 2) in base 14?\nAnswer: 54c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h**2 + 42*h - 25. What is j(23)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -3*x + 24. Let c(j) = -4 - 3 + x + 3*j + 15*j**2. Is 12 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 + 2. Let w = 15.5 - u. Sort 3\/5, w, 2 in increasing order.\nAnswer: w, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 443490558*g**2 - 443490556*g**2 + g - g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*f - 25*f = 8*f + 650 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + (-17 - ((-4 - 7) + 1)) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 - 11*h + 2. Determine k(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -6*t**2 - 5*t. Let q(a) = -6*a**2 - 6*a. Suppose -3*j - 27 = -3*c, 0 = 7*c - 5*c + 2*j - 2. Calculate c*q(z) - 6*o(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -8 - -6. Let z = -42 - -43.7. Let j = z + s. Which is the second smallest value? (a) -0.2 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-4 - (3 + 0)) - (17 + -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3800 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/379990 and -13\/2540.\nAnswer: 96517460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1710109 + -3?\nAnswer: -1710112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -2559 <= -2558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of r**5\/20 + 252*r**2 + r. Let j(o) = -606*o**2. What is j(k(q))?\nAnswer: -5454*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 3*w + 3. Let c(b) = 2*b**2 - 20*b - 4. Let k be c(10). Calculate j(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -326, -521, -714, -905, -1094, -1281, -1466?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**3\/4 - 15*g**2\/4 - 231*g\/4 + 1323\/4.\nAnswer: 3*(g - 7)**2*(g + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -422 - -433. Let r(a) = -11*a + 12. Let c(u) = 33*u - 36. Let x(f) = -2*c(f) - 7*r(f). Is x(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = 4*n + 16, 0 = -0*l - 5*l + n + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 34699097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2 - 518*p - 9648.\nAnswer: (p - 536)*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-56)\/(-16)*-5 - (156 + -173)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -6*a**2 + 5*a - 4. Let w = 0 + 27. Let x = 32 - w. Let c(u) = -u**2 - u - 1. Let f(b) = x*c(b) + j(b). What is the first derivative of f(i) wrt i?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -294.9443 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1\/39 - -62\/117. What is the closest to 1 in 2\/19, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 2 e, and 1 d when four letters picked without replacement from uddddddudeevddzguvzz?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(2\/7)*b*b)**(-1\/55))**(-14\/9) assuming b is positive.\nAnswer: b**(32\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/(-6) - (-837)\/162) + -7. Let t = -13 - -9. Let k = -8 - 49. Sort t, z, k in decreasing order.\nAnswer: z, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 + s**2 + 2. Let l be n(0). Suppose 5*i = -2*x + 3*x - 5, -2*i = -l*x + 10. Solve 0 = -0*g + x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/6)\/(4\/(-12)). Let c = z - -3. Let t(f) be the third derivative of -f**6\/15 + f**4\/24 - f**3\/6 - 5*f**2. Give t(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrrcccrrr. What is prob of sequence rrrc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 17 = n - 2*n, -3*n + 63 = -3*l. Let r = l - -37. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2166\/(-2695) + (-1)\/(-7)*7. Let f = m - -2\/539. Factor -u**2 + 3\/5*u**3 + 1\/5 + f*u.\nAnswer: (u - 1)**2*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58*g - 39*g - 50*g + 145*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 89884035 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -3*y**5\/2 + 36*y**4 + 4875*y**3 + 65628*y**2 - 141075*y\/2 = 0.\nAnswer: -33, -19, 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 58901 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2057059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12588151*p**3 + p**2 - 2932049*p - 1 wrt p?\nAnswer: 75528906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-510)\/14 - 4\/7. Let a = p + 53. What is the remainder when a is divided by 5 - 1\/(1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(2\/41)*h)\/h**(-2)*(h**(-21))**12 assuming h is positive.\nAnswer: h**(-10166\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1, -2, -502, 2, 0.64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2 + 0.216818\nAnswer: -1.783182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 455.7 - 481.7. What is the closest to o in 0.2, -2, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 247176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-63)\/4*(-16)\/4. Calculate the highest common divisor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 182 - 181. Let q(y) = 40*y + 4. Let n be q(w). Is 43 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -132, -229, -338, -453, -568, -677, -774?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10101 - 10110010?\nAnswer: -10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 711964711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 739, 1478, 2217, 2956, 3695?\nAnswer: 4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -177191*n**2 - 265468*n**2 + 3 - 3.\nAnswer: -442659*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -39966*g**3*i - 2*g**3 - 171*g**2*i - 62*g*i wrt g?\nAnswer: -239796*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be -2 - (-4 + 2 + -25). What is the derivative of -d*w - 16*w + 40 - w wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11263822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 152244 and 96?\nAnswer: 1217952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2404*y**3 + 1190*y**3 + 1228*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (3 + -2 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a. Let z(g) be the first derivative of -3*g**2 + 7. What is w(z(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -230*w - 392. What is the hundreds digit of r(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -121\/3 + 1411\/35. Let q(o) = o**3 + 9*o**2 - 4*o - 35. Let m be q(-9). Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-997 + 2629 + 2066)*(9*o - o + 0*o).\nAnswer: 29584*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n = -0*n - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1106764?\nAnswer: 2, 271, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**3\/17 - 176676*d**2\/17 + 3866225922*d\/17 + 1574886528800\/17.\nAnswer: 2*(d - 44369)**2*(d + 400)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 19082055 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 8758 = 55*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of ((-36)\/(-7))\/3*7 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*v + 19 + 35. Suppose -v*z + 4*z = -200. What is the remainder when 69 is divided by z\/6*(-21)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1348819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*f**3 + 341 - 341.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -46419745 to the nearest ten thousand.\nAnswer: -46420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-22)\/(2112\/(-1264)))\/(((-2)\/(-9))\/((-32)\/(-24)))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110345 is divided by 22057.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 195 a factor of 7496580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3594.78 + -3606. What is l rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 0.7657196 decades in centuries?\nAnswer: 0.07657196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -29 + 32. Let p be ((-2)\/(-20))\/((-1)\/8) - 5655\/(-975). Solve -2*i + g = -p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -2*j - 1. Let l(z) be the third derivative of z**5\/30 + 164*z**2. Give l(m(c)).\nAnswer: 8*c**2 + 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9 + -13c0e?\nAnswer: -13c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -13*a**3 - 5*a**2 - 5. Let d(x) = -13*x**3 - 6*x**2 - 6. Let k = 353134 - 353140. Let l = -13 - -18. Give k*r(v) + l*d(v).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 70726 - 0.0314453348\nAnswer: 70725.9685546652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5848259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*k**2)*k**3*k**(5\/4)*(k*(k\/(k**(-6)\/k))\/k)\/k)**(-8\/11))**9 assuming k is positive.\nAnswer: k**(-666\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gppppgggggpgcgggpg. Give prob of sequence pggc.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*a, -2*x = 21*a - 26*a - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 125 divide (182\/(-52))\/((-8)\/(-12)*9\/(-23172))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7.6 - -9.6. What is the smallest value in 3, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 35*k - 33*k. Suppose 0 = -0*b - 5*b + 35. Suppose -3*g + b*x - 2*x = -29, 19 = k*g - x. Put -1, g, -12 in descending order.\nAnswer: g, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7, -1, 27, 89, 197?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/54 and 40\/11637.\nAnswer: 23274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7827575311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (-6 - -8) - 18\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 2*s + 71. Let g be c(-23). Differentiate -5 - 3*l**2 - 17 - g*l**2 wrt l.\nAnswer: -56*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the third derivative of 1\/490*l**7 + 0*l**3 - 9*l + 0*l**6 + 2*l**2 + 0 - 2\/7*l**4 - 3\/35*l**5. Let t(c) = 0. What is c?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -p - 2*x - x, 0 = -2*p + 3*x + 4. Suppose -p*g + 3*g - 23 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fcvccvgvgggflc. Give prob of sequence cvc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.5 + 1. Let m = -5.96 - -6. Let n = -0.54 + m. What is the nearest to -0.1 in k, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 - 1)*(4*x + 2*x - 4*x) - 3*x - x + 5*x - 1 - 2*x + 3*x - 2*x - 81*x - 26*x + 31*x + (-3*x + 4*x - 2*x)*(0 + 2 - 1).\nAnswer: -81*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-11370)\/(-3411))\/(-2*1*(-3)\/(-27)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 576551737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, 714, 17, -45, 5 in descending order.\nAnswer: 714, 17, 5, 2, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*n + 89*n = 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d - 2*l + 15, d - 160*l - 27 = -165*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6393967 less than 6393965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -80*g**5*s**2 + 1903*g**4*s**3 - g**2*s**3 + 280*g**2*s**2 - 8*g**2*s - g*s**3 - s wrt g.\nAnswer: -4800*g**2*s**2 + 45672*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 31.1 - 18.2. Let j = 8.6 - b. Let w = j - -5.55. What is w rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -2*s - 0*s + 9, -4*u - 36 = -2*s. Let l be (12\/u)\/((-104)\/234). Solve -4*k - l*g + 18 = -6*g, 3*k + 4*g = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2474 + -22303\/9. Suppose 2*r + 2 = 0, 0*r + 7 = k - r. What is the common denominator of (-103)\/6 - (11 - k) and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -45645 + -35455?\nAnswer: -103322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 722.\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3 - (-7)\/(-3))*6. What is the closest to -5\/2 in k, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68630 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -5 - r**2 + 4 + 2*r - 3*r + 4. Calculate the remainder when 3 is divided by i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 16\/759?\nAnswer: 16\/759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 136 + -132. Suppose 0*m - 4*v = -4*m, 0 = -p*v + 8. Solve -m*h + 4*h = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/(-6)*12\/(-20). Let g be 8 - (-2 - 0 - -1). Let f = l + g. What is the least common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -3, -1, 8 in ascending order.\nAnswer: -5, -3, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i - 160. Determine o(130).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -191*t = -201*t - 130 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2968 divided by -4?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 6*k + 3*g - 5 = 0, 45 = 4*k + 5*g. Let q(y) = -y**3 + 5*y**2 + 3*y - 7. Let j be q(k). Let w = j + -5. Solve 12 = 3*s - 0*s + w*d, -d = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004626284 to five dps.\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -a**2\/4 + 3*a\/4 - 1\/2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -339775915*f**3*w**3 - 171*f**3*w**2 - 8673*f**3*w + f**3 + f**2*w**2 + 2*w**3 + 9*w wrt w.\nAnswer: -2038655490*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -110.4 + 103. Let d = j - -9.4. Which is bigger: d or -0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -750 + 2989 - 743 - 748 + 50*q - 747 to the form r*q + i and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.1703*-7.0635\nAnswer: 1.20291405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {a: 4, e: 1, u: 2, z: 2, s: 4, m: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 37\/6. Let h = 3362 + -201709\/60. Let g = h + -7\/12. What is the nearest to g in -0.2, 1\/4, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3887\/784 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -11 - ((70 - 0) + (-22 - (29 + -61 + 15)))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (-2 + -5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/6*(-8)\/(-54). Suppose w + 0 = 4. Suppose -w*c - 25 = -5*b, 2*b - 2*c - 2 - 10 = 0. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 34*j**2 - 2*j + 20. What is the tens digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -5*s**2 + 3. Let u(j) = -10*j**2 + 7. Let v = 175 + -177. Let t be -4 + (v - 10\/(-5) - 3). Give t*q(o) + 3*u(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 114, 285, 510, 789, 1122, 1509?\n\"Answer: 27*a**2 + 90*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -399 - -365. What is the remainder when 253 is divided by i*((-7)\/14 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-2\/27)\/f*f**(-7)*f**(-1\/4)\/f*(f\/(f**9\/f))\/f assuming f is positive.\nAnswer: f**(-1871\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-6\/5))**50\/(b**(1\/3))**(3\/4))**(-2\/81) assuming b is positive.\nAnswer: b**(241\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.6 (c) 70 (d) 0 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 15 - c + 29 + 36.\nAnswer: -c + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1087003 bigger than 1087005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1029.48 + -1024. What is k rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + 97147024?\nAnswer: 97147027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -4*q**3 + 7*q**2 - 6*q - 6. Let d(z) = -4*z**3 + 8*z**2 - 7*z - 7. Let x(w) = -6*d(w) + 7*f(w). What is the third derivative of x(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1407218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 239*l**2 - 165*l**2 + 240*l**2 - 244*l**2 + 512*l**2 + 290*l**2.\nAnswer: 872*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wga when three letters picked without replacement from gwggwwgaagagaagwg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 3*sqrt(847) - 1*(sqrt(847) + 2 - sqrt(847)))**2.\nAnswer: 132*sqrt(7) + 7627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*4\/(72\/3)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -8, -4, -0.5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 7*a = 12. Let g be 4\/(-4) + a - 0. What are the prime factors of 25*5\/5 + g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/13? (a) -1 (b) 2\/5 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -4*i - 4. Suppose -3 = 2*a + 3. What is the units digit of s(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (20*j - 122*j + 472*j)*(-j**2 - 7*j**2 + 0*j**2).\nAnswer: -2960*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**2 - 21535*l - 1074245. What is u(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 11*b - 4. Let f be i(9). Let z be (-1)\/5 - f\/25. Sort z, 5, 2 in decreasing order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 115\/79550226 and 71\/12726?\nAnswer: 79550226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = 511 + -512. Let z(s) be the second derivative of 3*s**5\/5 - 8*s**3\/3 + 8*s**2 + s. Let w(i) = -i**3 + i - 1. Determine b*z(l) - 16*w(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -356*c + 354*c - 26*z = -86 + 2, 0 = -2*c + 3*z - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6*(1 + 186\/(-18) + -4). Let h be (-96)\/u + (-26)\/5. Put 1, -8, 4, h in descending order.\nAnswer: 4, 1, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -r**3 - 39*r**2 - 39*r - 34. Let x be i(-38). Suppose 0 = x*d + 12*a - 9*a - 36, -a = -4*d + 52. Solve -11*g = -d*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/12 - (-8 + 8). Which is the third smallest value? (a) f (b) 0.4 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 4*i**2 - 1. Let r be b(-1). Suppose -3*s - 3*x = -9, 0*x + r*x - 6 = 0. Let a = 56 + s. Is 24 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*p**3 + 8*p - 2*p**3 - 2*p**2 - p**4 + 5*p**4 - 5*p**4 as n*p + w*p**4 + k*p**3 + x*p**2 + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -30435*d + 121812. Determine a(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0.18199+610.8256\nAnswer: 611.00759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1*161\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - g**2 + 2. Let z be q(0). Let c(k) = k**3 - k. Let v be c(0). Let b(s) = s**2 - 6*s + 4. Let u be b(6). Solve v = z*j - u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in thirty-three fifths of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 4*v. Suppose -5*m - 1 + 6 = v. Let r be (15\/25 - 1)\/(4\/10). Sort m, r, 0 in descending order.\nAnswer: m, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-33)\/15 - -2)*89\/(1780\/(-200)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 + -9. Let n be (s\/(-3))\/((-1)\/(-12)). Let q(p) = -2 + 3*p + p + n*p - 9*p. Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6799 + 6799 + 13*a + 8*a**2.\nAnswer: 8*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the third derivative of t**8\/21 - t**7\/30 - t**5\/30 - 7*t**3 - 3*t**2 - 19. Find the third derivative of p(o) wrt o.\nAnswer: 960*o**2 - 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 123\/10 and -19\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 255 and 8211.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -107, -185, -261, -335?\n\"Answer: y**2 - 81*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**3 + 6*x**2 + 6*x + 8. Let a be s(7). Let z be ((-1)\/2)\/(a\/(-116)). What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 + 0 - (-4368 - -4438).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (m - m**2 - m)*(-4*m**2 + m**2 + 4*m**2) - m**4 - 3*m**4 + 3*m**4 + (-3 + 2 - 1)*(-m**4 - 4*m**4 + m**4).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2323667366.\nAnswer: 2, 1161833683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 22\/623 and -58\/2105829.\nAnswer: 14740803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 3*h + 17581, -61*d + 58*d = -3*h - 10545. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1238*p + 6825 = 263*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 365209318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 51312 - 20932. Suppose 26*w + 5*w = x. Is w a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 4*o - 24 = 0, 4*m - 2*o = -4 - 14. Which is bigger: m or -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -996\/437 - -50\/23. Let v = -2384 - -2384. Which is the third smallest value? (a) j (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 47 = -4*v, -2*v + j + 18 = -7. What is the remainder when 68 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g + 0*g - 4 + 0*g + 0. Let r be k(9). Solve -3*t - 3*w + 24 = 0, -r*t = -2*t + 2*w - 21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 2 m, and 1 n when four letters picked without replacement from etsmmmmnne.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 + 9*h**2 + 7. Suppose v - 18 = -2*v + 3*u, 2*v = -5*u + 12. Suppose 4*r - 42 + v = 0. What are the prime factors of p(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 171 and 1387?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -408 + 1220 - 406 - 406 + 4534*d in the form f*d + b and give f.\nAnswer: 4534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be (24\/10)\/(-3 - -2). Let v = -31\/15 - b. Let n = -0.39 - -0.59. Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -267.65 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 123 a factor of 1149161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 15.21 and -11639?\nAnswer: -177029.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 301b68 (base 13) to base 4\nAnswer: 10100331011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -h**6\/3 + 17*h**4\/4 + 2*h**3\/3 + 22*h + 1427. What is the third derivative of b(l) wrt l?\nAnswer: -120*l**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -237*i**2\/5 + 145511*i\/5 + 4298\/5.\nAnswer: -(i - 614)*(237*i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8? (a) 1\/4 (b) -358871 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 100 (base 3) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 231386009 at least 231386006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**4\/3 - 2*k**3\/3 - 2*k**2 + 2*k\/3 + 4\/3.\nAnswer: 2*(k - 2)*(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 39 = -j + 2, -64 = 2*j + 4*g. Let v be j\/9 + 4\/(-12). Suppose -1 = 6*f - 5*f. Sort f, 3, v in descending order.\nAnswer: 3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l - 4. Suppose 4*z = -7 - 1. What is x(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 2 + 2 = 2*u, 4*h = -3*u + 6. Let m = h + 2. Suppose -m*i = 3*i - 15. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 454786 + -6949\nAnswer: 447837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 10638223 to the power of 1\/2, to the nearest integer?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from juuujcqncnqu. What is prob of sequence nq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 78\/104*(-10 - -8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -165 take away 5847?\nAnswer: -6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 613\/187 - 65\/17. Let k be 10\/6 - (-1)\/(-3). Let l = 8 - 13. Which is the third smallest value? (a) r (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 79 - 61. Let k = 14 + -12. Let g(y) = 8*y - 12. What is the lowest common multiple of f and g(k)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7278059 is divided by 954.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/3 (b) 3 (c) 27 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are -45575419 and -45575420 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12596.\nAnswer: 2, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 AM and 7:16 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 200936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 38904\/(-16)*(-2)\/(-9)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 5*j + 4*w, -5*j - 6 = 2*w - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -94) + (20 - (12 - (15 - 5 - 5))).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 94996893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 AM and 11:24 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(68) + -1.\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1882*u**2*v*w**3 - 459*u*v*w**3 + u*v wrt u.\nAnswer: -3764*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**3 + 2*w**2 + 5*w + 2. Let r be n(-2). Let z(f) = -f**3 + 8*f**2 - 2. Give z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 - -18. Let u be -7*(54\/(-14) + s). Let c(t) = t**3 - 6*t**2 - t + 6. Let o be c(u). Solve o = -2*p - 1 - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j**2 + 79*j + 74. List the prime factors of x(37).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -118*s + 234*s = -893*s + 9081 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 + -7. What is the smallest common multiple of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-1))\/(16*(-184)\/14720).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/5, -1, -1203, -1\/3, -0.4 in descending order.\nAnswer: -1\/3, -0.4, -4\/5, -1, -1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24531, 24532, 24533?\nAnswer: 24534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6? (a) -19 (b) 2 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/903 - 2\/43. Let u = 1679 - 1676. Which is the second biggest value? (a) -3 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.2 - 1.212. Which is the fourth biggest value? (a) 0.4 (b) z (c) -3\/4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 4*y + 772 = 0, -5*a + y + 57 = -902. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-14*l + 42 - 42)*(l + 1 - 1)*(3*l - 1 + 1) to the form z + n*l + v*l**3 + h*l**2 and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*h**3*m*t - 4*h**3 + 5195*h*m*t + 39*m*t + 511071*m wrt t?\nAnswer: 5*h**3*m + 5195*h*m + 39*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17347\/6 + -2882. Let h(g) = 167*g + 1. Let q be h(-6). Find the common denominator of 1\/4*q\/26 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 53, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.220976 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14 + 14.02. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 304077925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 8467, -119?\nAnswer: 8467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 126695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 7.894563 litres in millilitres?\nAnswer: 7894.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(3\/4))**(5\/7) assuming p is positive.\nAnswer: p**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -2*w**2 - 5*w**2 + 3*w + 8*w**2 + 521. Is i(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 5021\/3 and -1\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 8:47 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 93583*d. Let w(x) = 27*x. Determine 3688*w(c) - z(c).\nAnswer: 5993*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 215849424044 and 0.45.\nAnswer: 215849424044.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes before 11:34 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 31750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y - 6. Calculate p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = q + 34. Suppose -r - 4*s = -s - q, -3*r + 4*s = -12. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*n = -70*n + 2494522. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from rrrrororrrr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the second derivative of -7*u**4\/12 - 5*u**2\/2 - u. Differentiate x(z) with respect to z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 2374311975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 0 = 2*u. Which is the third smallest value? (a) -3 (b) 0.2 (c) 1\/9 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 550 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = -2*v - 38. What is the highest common divisor of 396 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -699 + e40?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 8 + (1 - (1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 209 is divided by (13\/(5 - 18))\/((-1)\/101)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 51 = 166. Let z = i + 37. Differentiate z - 38*t - 40*t + 3 + 81*t wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 12, -0.4, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 f when four letters picked without replacement from accaaffcaaaaaaa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/5 + 87968*c\/15 + 176008\/5.\nAnswer: -2*(c + 6)*(3*c - 44002)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rl when two letters picked without replacement from {y: 10, l: 6, r: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -79.831 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -15\/124015546 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -2\/15 (c) -10\/13 (d) 1\/2 (e) 2\/11 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -23.9, 0.4, -12 in descending order.\nAnswer: 0.4, -12, -23.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 3*x - 2. Let v(d) = -1149*d**2 + 207*d - 138. Determine 414*o(g) - 6*v(g).\nAnswer: 6894*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*y + 6501 = 0. Let l be 2\/(-8) + (-97610)\/(-8). Let c = y + l. Round c to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -22033210 (base 4) to base 2.\nAnswer: -1010001111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 50*m - 53*m + 120. Determine w, given that 5*w**3 - 25*w**2 + m*w + 5 - 7 + 0 - 18 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(1 + 17\/(-22)) - (-3643)\/18215?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 1:58 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 150388825 to the power of 1\/2, to the nearest integer?\nAnswer: 12263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3106.42147 rounded to one dp?\nAnswer: 3106.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(1\/14))**(6\/13)*(o**39*o*o)\/o*o*o\/o**(-27\/5) assuming o is positive.\nAnswer: o**(1674\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 27*q + 172. Determine f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 335, -4, 3, -14 in decreasing order.\nAnswer: 335, 3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 8307 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 30fb (base 16) to base 11\nAnswer: 946a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -13*s**3 + 5*s. Let h(c) = 6*c**3 - 2*c. Let o(f) = -4*f + 21. Let y be o(4). Calculate y*h(u) + 2*r(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15054*p**2 + 29 - 29 + 15050*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -322, -103, 116, 335?\n\"Answer: 219*l - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 0.02 (c) 3 (d) 2 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (18\/(-15))\/((-1)\/(-50)*-1). Let x = 75 - l. Let f(k) = 5*k + 12. What is the remainder when f(9) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 56\/1242609 and 77\/124260900?\nAnswer: 124260900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -34 - -36. Let u = 2.8 - -0.2. Which is the closest to u? (a) 2\/5 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (645*z - 91*z**3 - 645*z)*(-z + z - z**2).\nAnswer: 91*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 786013*f - 3144053. What is d(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -495*y**2 + 44*y + 22. Let b(w) = -110*w**2 + 10*w + 5. Let z(g) = 22*b(g) - 5*p(g). Let o(k) = 4*k - 26*k**2 - 4*k + 28*k**2. Calculate o(z(v)).\nAnswer: 6050*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2812*x = -2807*x + 5*w + 10, x = w + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 21053 = 3*o, -2*o + 6996 = -o + 4*w. Does 179 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 72155 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 39*a**3 - 28*a**2 - 10*a + 4. Let v(o) = 18*o**3 - 13*o**2 - 4*o + 2. Determine -3*p(d) + 7*v(d).\nAnswer: 9*d**3 - 7*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + 37. Let u = n - 53.2. Let g = -2 - -3. Which is the closest to g? (a) -5 (b) u (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 234\/858 + 170560\/(-22)*-1?\nAnswer: 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k = -155 + 153.3. What is the closest to 2 in 0, k, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -4138*w + 44. Suppose 6 = -g - 2*q, -5*g + 2*q + 32 = 98. Let o be z(g). What is o rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - k**3 + 584*k**2 + 2*k + 641*k**2 - 1223*k**2 to b*k**3 + w + g*k + y*k**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 401449322?\nAnswer: 2, 17, 694549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (n - 3*n + 3*n)*(-14 + 17 + 8) in the form a*n + i and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = 5*l + 2*i, -56 + 91 = 5*l - 2*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 501144810.\nAnswer: 2, 3, 5, 389, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/5, -1, -5, 5 in descending order.\nAnswer: 5, 1\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-16)*(-48)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -40 + 41. What is the remainder when 45 is divided by (1 - 4 - z)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 896431 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of 0*x**5 - 2*x**2 + 0 - 1\/24*x**6 + 0*x - 5\/3*x**3 + 5\/8*x**4. Factor i(k).\nAnswer: -5*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/108 and 163\/3276?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 82.5 + -7.5. Let m = -74.99732 + s. What is m rounded to four decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 40*w**2 - 5*w + 57. Let p(k) = -60*k**2 + 8*k - 86. Let h = 33 + -38. Let j(s) = h*p(s) - 8*c(s). Find the first derivative of j(x) wrt x.\nAnswer: -40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4660 * 0.11\nAnswer: -512.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (10 + -1)*(-6)\/9. Let u be (-4)\/m - (-8)\/6. Solve -4*f**2 - 12 + 8*f + f**u + 7*f**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - 4 = -3*y, 3*l = -3*y - y + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 9*f**2 - 13*f - 2. Let n be d(11). Suppose -4*p + 2*a = -0*a - 98, -4*p + a = -n. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0043481813 to five dps.\nAnswer: -0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 + 6*s**2 + s + 8. Let u be d(6). Is 6*(4\/(-14) + 2153\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 150576402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from kirnrxkiinkkrnk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -4*g**2 + 15. Let c(v) = 1. Let l = 26 - 16. Let q = 11 - l. Let f(y) = q*k(y) - 4*c(y). Find the first derivative of f(t) wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1789*v**2 - 2036*v**2 + 4071*v**2.\nAnswer: 246*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1290 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*i**4 + 884*i**3 - 1796*i**2 - 2676*i.\nAnswer: 4*i*(i - 3)*(i + 1)*(i + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 360*s**2 + 258*s**2 + 187*s**2 - 1073*s**2 + 270*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 1)*(-2*a - 8 - 2*a + 11).\nAnswer: 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 47 + -45. What is the derivative of -52 + 10*v**2 + 19*v**4 - 7*v**2 - 2*v**r wrt v?\nAnswer: 76*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -19, 25\/9 in descending order.\nAnswer: 5, 25\/9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6767447 hours to nanoseconds.\nAnswer: 2436280920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1.954 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:08 AM and 4:15 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-498)\/(-498))\/((325\/70)\/(-5)).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together 0 and 62647.4.\nAnswer: 62647.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -159 (base 12) to base 8\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*c)*(2*c + 0 + 0) + 2 - 2 + c**2 - 135*c**2 + 93*c**2 + 33*c**2 - 867*c**2 - 539*c**2.\nAnswer: -1418*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*c = -70 + 98 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -45, -2, -3\/2, -0.1, 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k - 4. What is o(15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8768 = 60*n - 25928. Calculate the remainder when n is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -830 + -0.750257382.\nAnswer: -830.750257382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t**(1\/7)*t*t)*t)**34*((t\/((t\/((t\/(t\/t**(-22)*t))\/t))\/t))\/t)\/t*t**10*t assuming t is positive.\nAnswer: t**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 5*w + 0*w = 111, -4*z = 5*w + 237. Let o = z - -115. Suppose -3*y + 38 = 2*a, -y + 2*y + o = 3*a. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1314*w**2 + 2 - 1312*w**2 - 7 + 2624*w**2 - 7 + 15*w to the form u*w + k*w**2 + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 3 b when four letters picked without replacement from brbrrdbdrbrdr.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add -408567 and 732.\nAnswer: -407835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q - 7. Let o be z(-6). What is the units digit of (o\/3)\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 2*f - 11. Let k(a) = -a + 4. Let z(c) = -4*g(c) - 11*k(c). Let m(y) = -1066 - 21*y**2 + 529 + 537. Determine m(z(n)).\nAnswer: -189*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -0*c - 88. Let a be c*(1 - 3) - 2. What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*s - 55 = 8*s. Let x(f) = f**2 + 12*f + 3. Let h be x(-17). What is the highest common factor of s and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 309 is divided by (-108 + 0)*141\/(-564).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2 - 2*h - 1 + 6*h - h**2 + 1 + 4. Let k(s) = -4*s**2 + 18*s + 9. Let z(n) = 4*k(n) - 18*v(n). Let q(l) = -93*l. Determine q(z(r)).\nAnswer: -186*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 140752 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mfmd when four letters picked without replacement from dmemfeeeeefmffm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-165)\/(-11)*4092\/(-5115)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -130571964, -130571966, -130571968, -130571970?\n\"Answer: -2*a - 130571962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 2\/7, 39, -0.1, -8\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 652*a - 389. List the prime factors of f(9).\nAnswer: 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 0 + 0)*(-2*m + m**2 + 2*m) + (-2*m - 3*m + 3*m)*(-13*m**2 - 3*m**2 + 0*m**2).\nAnswer: 30*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-34)\/(-765))\/(((-16)\/12)\/(-1))*(-9)\/2?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.2 + 6.2. Let w = s + -8. Suppose -3*q - q = -20. What is the nearest to -0.2 in w, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 2*l**2 + 5*l + 3. Let y be t(-3). Solve -2*a = -5*u - 10, a = 4*u - 1 + y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p - 15 + 30. Calculate the remainder when 40 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 + 6*d. Let y be w(-8). Suppose -4 = 5*p - 0*p + n, 0 = 2*p + 4*n + y. Let q be 8 - (2 + 1)*1. Solve 0 = -p*z - q*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 - 2*y + 1. Suppose 5*l - 3*l = 0. Suppose -x - 5*b = -6*x + 10, l = 3*b + 3. What is h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -3) + (-1 - (-2 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1575 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: Factor 4\/7*z - 2\/7*z**3 + 0 - 2\/7*z**2.\nAnswer: -2*z*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(((-5)\/(-10))\/(376*(-37)\/1184)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 20402 (base 6) to base 12\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 152 = m + 3*m. Calculate the remainder when m is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 37988.34 hours?\nAnswer: 136758024000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.36 + -3.64. Put -5, -1\/4, 5, s in increasing order.\nAnswer: -5, s, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 + (-4)\/2 - -13. Let m(v) = 3*v**2 - v - 4. Let j(c) = -13*c**2 + 4*c + 17. Let i(a) = x*m(a) + 2*j(a). Factor i(q).\nAnswer: (q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 5, p: 8, f: 1, y: 1, w: 2}. What is prob of picking 1 p, 2 g, and 1 y?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.15, 2\/3, -169.689, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -65, 70, 401, 928, 1651, 2570, 3685?\n\"Answer: 98*i**2 - 159*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:04 PM and 4:55 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -3155 divided by -5025?\nAnswer: 631\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -3*p**3 + 390*p**2 - 10761*p + 10374 = 0.\nAnswer: 1, 38, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = 378 - 2278. What is c rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of w**4\/6 - 11*w**3\/6 + 7*w**2\/2 - 11*w. Let b be n(5). Factor 3\/2*c**4 - 3\/2*c**b + 0 + 3\/4*c**5 + 0*c**3 - 3\/4*c.\nAnswer: 3*c*(c - 1)*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/1274 and 113\/1009008?\nAnswer: 1009008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4639812 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 17 = 3*t, 3*h + 20 = 4*t + 7. Suppose 871*s - 872*s = -t. Let p(v) be the second derivative of -5*v**3\/6 - 3*v**2\/2 - v. What is p(s)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 - 1 - (-4 + 14 - -17).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 3*m - 9 = 0, -m - 3 = 36*t - 38*t. Let s(l) = -l**2 + 7*l + 3. Let x be s(t). Solve 4*w + x = 2*w - 3*g, 2*w + 2*g + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = v - 8, -2*v - 2*b + 10 = -0*b. Suppose -4*n = -2*y - 14, v*n + 3*y - y = 26. Let g = n + 0. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 13623630, 27247260, 40870890?\nAnswer: 54494520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i + 6*i + 4*m + 10, -3*m - 10 = -i. Which is the closest to -1\/2? (a) -5 (b) 1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -50*v - 552. What is j(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the third derivative of v**5\/60 - 11*v**4\/12 + 13*v**3 + 52*v**2. Let n be q(18). Put n, 2, 1 in ascending order.\nAnswer: 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 - 25*w**2 + 23*w + 6. What is the smallest common multiple of y(-26) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**3 + p**2 - p. Let b(d) = -d**2 + 8*d. Let v be b(8). Let y be k(v). Solve g = 3*g + 4*a + 12, y = -g - 3*a - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2.3, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1.3218482 times 7\nAnswer: 9.2529374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 10 + (-15 - -16) + -27\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((-1*sqrt(17)*-2 - (1 + sqrt(272)) - (sqrt(6171) + -2*sqrt(6171))\/sqrt(3))*3)**2.\nAnswer: -49608 + 648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f. Let i(g) = g**2 + 7*g - 3. Let k be i(-7). Let p be q(k). Solve -x = -p*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**2 - 3*w + 102 - 116 + 11*w. Let h = -11 + 15. Let k be a(h). Solve 3*g + k*l + 10 = g, -25 = g + 5*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 55427, 53703, 51979, 50255?\nAnswer: 48531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 5)*(-j**3 + j**3 + j**4) - 18*j**4 + 141*j**4 + 7*j**4 + (-j**3 + j**3 - j**3)*(2*j + 2 - 2).\nAnswer: 134*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 893.7059 milligrams in nanograms?\nAnswer: 893705900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8\/(-2)*(-15)\/20. Suppose m = -i, 3*m + k*i + 5 = m. Factor -3*u + m*u**2 + 3*u + 11*u - u.\nAnswer: 5*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**1*l*l*l)\/(l**1\/l))\/((l\/(l**(-2)*l)*l)\/(l\/((l\/(l\/((l**(-1\/4)\/l)\/l)))\/l)*l)) assuming l is positive.\nAnswer: l**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 117*b - 33*b + 256 = -142*b - 196 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**2 + z - 3. Give n(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2556606 and 3723.\nAnswer: 43462302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is y in -9*y**5 - 399*y**4 + 1547*y**3 - 1761*y**2 + 718*y - 96 = 0?\nAnswer: -48, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((3395\/28)\/(-5))\/(1\/(-4)). Suppose -55 = -2*z + j. Calculate the greatest common factor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -2502245405*v + 2000500. Let b(x) = 20013*x - 16. Calculate 500125*b(n) + 4*i(n).\nAnswer: 20005*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3223220130 (base 4) to base 9\nAnswer: 1730836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -7792, -7790, -7788?\n\"Answer: 2*v - 7794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y**3 - 4*y**3 + 2*y**2 - 2*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*n = 18 + 21 - 39. Let a(u) be the first derivative of n*u + 0*u**2 + 17\/4*u**4 + 22\/3*u**3 - 3. Find the third derivative of a(f) wrt f.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 + 6*f. Let y be m(-5). Let a(d) = -10*d - 5. Let z(s) = 9*s + 4. Determine y*z(i) - 4*a(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 2. Let y = -34\/15 + 11\/5. Let m = -2\/5 - y. Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 127 - 13. Suppose -g - 3*f = -18, -k = -3*g - 2*f + 5*f. Calculate the greatest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.14300124 + 0.143. What is c rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -53*c**2 - 38*c**2 - 54*c**2 + 127*c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3986277?\nAnswer: 3, 397, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l + 2*t = 0, 29*t + 8 = -5*l + 26*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1)\/2)\/(1\/66). Let u = -34 - a. Let x = -10964\/21 - -522. Do x and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 + 15\/50*59572\/1113.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 173.8 and -15?\nAnswer: 188.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 7*h + 5 = 0, -35 + 36 = -j + 3*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -715, -28020 in decreasing order.\nAnswer: 2, -715, -28020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*y**3 - 565*y**2 - 379*y + 189.\nAnswer: (y - 189)*(y + 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*m + 2*m - 3*m)*(-2 + 1 + 0)*(2*m + 5 - 5) - 21*m**2 + 34*m**2 - 69*m**2)*(1 + 2 - 1)*(-m + 4*m - m + 2*m + m - 5*m + (-m + 0*m - m)*(-3 + 2 - 1)).\nAnswer: -464*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 - 11*y - 21. Let l be t(-4). Suppose -l*p + 74 = 11. Solve -5*q = x + 29, 2*q = x - p + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**3 - 9*f**2 - 11*f + 12. Let p be y(10). Let w be (-3)\/p - 18\/4. What is the units digit of 8\/w*21\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 187*u + 375*u + 585*u + 64704 = 136*u for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3196437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4879.\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 116? (a) -0.36 (b) 4\/3 (c) 2\/33 (d) -2\/19 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15284218*q**3*u + q**3 + 9*q*u + q - 7641*u - 3 wrt q.\nAnswer: 91705308*q*u + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -283\/9 - -350\/9. Find the common denominator of 36\/(-45)*(-6)\/(-8) and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 21, -39, -181, -417, -759, -1219, -1809, -2541?\n\"Answer: -2*g**3 - 29*g**2 + 41*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6355 or 6356?\nAnswer: 6355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -8 divided by -7773498?\nAnswer: 4\/3886749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 2713.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -46 divided by -8?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.91 + -0.09. Let v = 3 + j. What is the second biggest value in -1, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (0 + (sqrt(1216) - (sqrt(1216) + 0)) + (-1*((sqrt(209) - 1*sqrt(209)) + sqrt(209)))\/sqrt(11))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*t - 486 = 109*t. Let g(s) = -s**3 - 5*s**2 + 4*s. Determine g(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 less than 1138095250?\nAnswer: 1138095252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + -2 - 112\/(-115)*2. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 303927728597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2016 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -6032 = 390*v + 3328 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4403 and 1547.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 2*k**2\/7 - 180*k\/7 + 2992\/7 = 0.\nAnswer: 22, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -3*o + 19. Let x be t(5). Solve -m + 6 = m, 2*m - 18 = -x*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -21482*i*t + 1381*i + 136610213*t wrt i?\nAnswer: -21482*t + 1381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*z**2 + 13*z**2 - z**2 + 16*z**2.\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -4.02. Let g = -5.02 + q. Let n = -11 - -7. Which is the nearest to 0? (a) n (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 182209517 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.83 + 0.03. Let r = -1.4 - n. Let f = -9041\/23 + 393. What is the nearest to r in -3\/2, f, 6\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -15 - -12. Let y = q + 1. Let j be -4*((-42)\/(-15) + -3). Sort 2\/7, j, y in descending order.\nAnswer: j, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 2 w, and 1 b when four letters picked without replacement from {t: 1, u: 2, l: 1, k: 1, b: 2, w: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18115 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*n**2\/3 - 108970*n\/3 - 108985.\nAnswer: 5*(n - 21797)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20 + -5. Let k be (j\/(-10))\/(6\/(-16)). List the prime factors of -8*(-1)\/k*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 151033011 (base 6) to base 10\nAnswer: 3130495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 - 20. Let j = l - -59. Let g = -30 + j. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.036 times 2\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 2:51 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 = -25*h + 12*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhnnn. What is prob of sequence hn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1059 - -584. List the prime factors of n.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -187 + 194. Let k(u) = 2*u**2 + 5*u - 3. Let j be k(4). What is the greatest common divisor of j and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -2*m + 30. Let r(d) = -2*d. Give j(r(s)).\nAnswer: 4*s + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/(-6) + (-272)\/(-264) and -75 + 81 - 50\/28.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1982*m**2*u**2*z + m**2*u*z + 2*m*z + 338*u**2 - 2*z wrt m.\nAnswer: -3964*u**2*z + 2*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (5\/3)\/(267\/9 + -28). Let g = 0.8 - 1.1. What is the second smallest value in 2\/7, g, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -608*l**2 + 6*l - 32 wrt l.\nAnswer: -1216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + 5 + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -432*p - 2158. Let u be k(-5). Solve -2*i - u*d = -6, -7 = -i + 5*d - 22 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -42663, -85333, -128007, -170685, -213367, -256053?\n\"Answer: -2*f**2 - 42664*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 120817010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**3 + 20*c**2 + 22*c - 17. Calculate z(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d - 1. Let q be s(3). Let t be (-16)\/40 - (-27)\/q. Let n(y) = -y**3 + 6*y**2 - 4*y - 2. Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 14.38 - 0.2.\nAnswer: 14.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/4)\/o**(-1))**(-50)*(o**(-2)\/o*o\/(o\/o**(2\/3)))\/(((o*o**(2\/9))\/o)\/o*o**(-1\/5)\/o) assuming o is positive.\nAnswer: o**(-5657\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5678007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 78*v - 2. Let i(r) = 156*r - 4. Let p(a) = -2*i(a) + 5*z(a). Let j be p(5). Suppose -j = -0*q - 4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23513?\nAnswer: 7, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1359038398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -32136680*c**2 + 887*c + 21050.\nAnswer: -64273360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 12662, 12159, 11668, 11195, 10746, 10327, 9944?\n\"Answer: h**3 - 510*h + 13171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 99*z - 323 + 125. Solve -z*p - 13 = h, -28 = -5*p + 10*p + h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -384 + 489. Calculate the highest common factor of c and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 2*g - 77 = -g, 4*g - 68 = -4*m. Let l = m + 3. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 13*d**2 - 14*d + 3. Let c be 30\/(-3) - (2 + -9 - -6). Is i(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4840)*-1 + (sqrt(360)*-5 - sqrt(40)))\/(sqrt(96)\/(-6*sqrt(108)\/sqrt(9))).\nAnswer: 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -641*u**2 - 562*u**2 + 639*u**2.\nAnswer: -564*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 116685954 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2524 = -5*z - 4*m - 1259, 0 = 3*m - 24. Put 4, -7, z in descending order.\nAnswer: 4, -7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9*(-7)\/462)\/((-9)\/(-4))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -11*q**2 - 14*q - 14. Let m(g) = 3*g + 7*g + 4*g**2 + 2*g + 10*g - 17*g + 5. Calculate -8*m(l) - 3*u(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 12 + a**3 + a**3 - 2*a**2 + (-2*a + 0*a + 3*a)*(a**2 - 3*a**2 + a**2) in the form m*a**3 + i*a + j + x*a**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 4565354 by 157426.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 256 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.78 - -1.59. Let i = -0.19 - h. Which is the third smallest value? (a) 0 (b) i (c) -2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/3, -2\/21, 1\/4, 4\/5 in increasing order.\nAnswer: -2\/21, 1\/4, 4\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.2 + 0.3. Let u = k - 1.1. Let w = -0.3 + 0.4. Which is the nearest to w? (a) 5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95*b + 718 = -4*z + 97*b, z + 5*b + 174 = 0. Is -187 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -4\/297?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 95587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 662 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3 - (-1 - 118) - 0. Suppose -2*b = -0*b - 3*g - a, 2*g = -3*b + 170. Calculate the remainder when b is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10498979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vehhhhhhehhihee. Give prob of picking 1 i, 1 v, and 1 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(40)*1*1)\/(sqrt(64)\/sqrt(72) - sqrt(8)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 27191.6597 to the nearest one hundred.\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -414*y + 139*y + 139*y + 132*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 18ba5127 - 3?\nAnswer: 18ba5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2570 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sgm when three letters picked without replacement from {m: 2, j: 3, b: 2, g: 2, s: 2, o: 6}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -403 by -3.\nAnswer: 403\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000027 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/4268 and 169\/4074.\nAnswer: 89628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**3 + 16*j**2 + 7*j - 27. Let c be l(-16). Let q = 74 + c. Let s = q + 67. Solve -5*b = 3*t - 4, 4*t + s = b + 5*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 119 divide 14679245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Suppose m + 5*l - 7245 = 0, 0 = 4*m + 434*l - 432*l - 28854. Is 7210 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 1. Let b(h) = -h - 6. What is -2*b(x) - 14*y(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*((-4)\/6)\/1. Suppose -c - 2*c + 15 = -4*f, -3*f = 0. What is the third derivative of -p**2 + 4*p**4 - b*p**c - 4*p**4 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -286, -33, 2 in decreasing order.\nAnswer: 4, 2, -33, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**2 + h + 2. Suppose -2*a = -5*a + 6. Let c be ((-16)\/6 + a)*-3. Let r be g(c). Solve -5*k + 2*k = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -15046 (b) -0.0493 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -382.9077 - 361.\nAnswer: -743.9077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118481 is divided by 39487.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 6*b**2 - 1. Let j(o) = o**3 + 2*o**2 + 1. Let d be j(-2). Let u be n(d). Suppose -5*s + 5 = u*i - 20, -2 = -4*s + 2*i. Solve s*v + 12 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**2 - 6*z + 6. Calculate the remainder when 38 is divided by s(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11.9 - 13. Let q = t + 2.8. Let f = -1.6924 + q. Round f to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44\/(-15169))\/((-336)\/(-1176)).\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.7, 2411, -8\/7 in decreasing order.\nAnswer: 2411, -0.7, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52187*s**2 - 156575*s**2 + 52199*s**2 + 4*s**3 + 52189*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-375)\/(-12)*2556\/(-3195).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + -25. Sort 3, -3, q.\nAnswer: q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) -148.3 (c) 26938\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(336)\/(4*sqrt(24)))\/(sqrt(48)\/(sqrt(6) + -6*(sqrt(24)\/sqrt(4) - sqrt(6))))*3.\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 - 3*j**2 + 2*j**2)*(j**3 - 2*j**3 + 2*j**3) + 0*j**5 + 0 - j**5 - 2.\nAnswer: -3*j**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-5 - 15)\/(-4) - 5. Solve -9 = -3*a - s, s + 3*s = p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*c = 15*c - 46. Suppose -b + 66 + c = 0. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 110274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -3328*n + 1723. What are the prime factors of t(-4)?\nAnswer: 5, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -8257 (base 10) to base 14\nAnswer: -301b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) - (0 + sqrt(98) - sqrt(98))) + (2*sqrt(22) + sqrt(22))\/sqrt(11).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 720.1 and -4.32709.\nAnswer: 715.77291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 + 7*n**2 + 9*n - 2. Let o be f(-5). Suppose -9*y + 4*y + o*w = -4110, 5*y = -5*w + 4070. What is the highest common factor of 91 and y?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -3*f**2 - 5*f + 16. Let w be u(-7). What is the common denominator of -137\/12 and (0 - 3) + (-66)\/w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1171, 9213, 31005, 73423, 143343, 247641?\nAnswer: 393193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 - 10*g**2 - 2*g - 22. Give q(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 3 + (-5 - (-25)\/15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*b - 3 - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 349 = 4*n + 271, 5*n - 86 = 2*k. Find j, given that -8\/11*j**k + 6\/11*j + 0 + 2\/11*j**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 + 3)*(371\/182 - 2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -45 - (35 + -18 + -20).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Is 2152318859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0\/((750\/(-1375))\/((-3)\/(-11)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 66\/((-1)\/6*(-81)\/45). Suppose 0 = h - 5*j - 902, h - 646 - y = -4*j. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -2. Let x = -1098\/7 + 156. Which is the nearest to o? (a) x (b) -1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 34065, 68306, 102533, 136740, 170921, 205070, 239181?\nAnswer: 273248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p = v + 3, 250*v - 252*v - 45 = 21*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 4*i = 9 + 6, -2*i + 8 = 2*v. Let y = -120 + 115. Suppose 0 = -3*d - 1 - 8. Put y, 5, d, v in descending order.\nAnswer: 5, v, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1335360 and 18939?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*g + 3*g + 122*g**2 + 6 - 6*g + 10*g to the form w + y*g + l*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 - -260325?\nAnswer: 260316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1094, 2124, 3154, 4184, 5214, 6244?\n\"Answer: 1030*k + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-3*sqrt(320) - sqrt(320) - sqrt(320))**2 + -4 + -5.\nAnswer: 7989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -108 + 113. Put 3, p, 0.4, 0.5 in ascending order.\nAnswer: 0.4, 0.5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -52 + 5*n + 2*n**4 - 5*n - 57 + 6*n - 3*n**2 + 117 in the form y*n**3 + q*n**4 + u*n + l + j*n**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 148428 is divided by 1818.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*s - 15*s - 6975 = 0. Let l = s - 437. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 w, and 1 a when three letters picked without replacement from wwawttsw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -25*o**3*w**3 + 46*o**3*w + o**3 + 47*o**2*w + 45609*o*w**3 + 9*o*w + 7*w wrt w.\nAnswer: -150*o**3*w + 273654*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 80937 (base 12) to base 13\nAnswer: 5b168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f = 2*l - 10, 7*f = 9*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14590114 - 14590222 + 11*r**2 - 4*r**2.\nAnswer: 7*r**2 - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8 and 287524.\nAnswer: 575048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -74*p + 5. Let s(j) = 555*j - 37. Give -5*s(z) - 37*y(z).\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -6*f**3 - f**2 + 1. Suppose 11 = t + 4*t - 3*k, 4*k + 5 = -3*t. Let u be g(t). What are the prime factors of (-1)\/u + 191\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59*y - 64*y - 103 = -2*f, 340 = 5*f + 4*y. Solve 3137*i = 3145*i + f for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 209\/685860 and -37\/587880?\nAnswer: 4115160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -4 (c) -9.6 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 - 44. Let x = 3 - c. Let s = x - 32.8. Round s to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.48 - -0.02. What is the second smallest value in -3, -4, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -51, -52, -55, -60?\n\"Answer: -l**2 + 2*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -100 + 480 = -4*u + 4*b, -2*u - 5*b = 162. Let h = -96 - u. Suppose -3*x + 8 + 4 = 0. Put -2, x, -3, h in increasing order.\nAnswer: h, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/6 (b) -0.252 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 5605*b**3 - 10840*b**2 + 5305*b + 90. Let k(a) = 431*a**3 - 834*a**2 + 408*a + 7. Let f(i) = -3*d(i) + 40*k(i). Find x such that f(x) = 0.\nAnswer: -2\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100 - 1022111?\nAnswer: -1022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-2*sqrt(18)*-3*-4)\/(4*(sqrt(81) - sqrt(9)) - sqrt(9) - -1*sqrt(36)) + -5.\nAnswer: -10 - 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 27\/14 - 108\/7. Which is smaller: -13 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g - 5*g - 2*u + 12, 0 = 5*g + 2*u - 24. Suppose 0 = 2*f - g*f. Let y(r) = r + 5. Let w be y(0). Solve -w = -k - f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2, -0.1, -4\/15, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 353 - 70 - 3*v**3 - 63 - 220.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q - 29. Let m be c(-15). Let n(v) = 3*v**2 - v + 2. Let u(r) = 25*r**2 - 5*r + 11. Let g(t) = 5*n(t) - u(t). Give g(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, w: 6, k: 1, f: 1, r: 3, e: 1}. Give prob of sequence wlk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a**5 + 10950*a**4 - 248915*a**3 - 629430*a**2 + 2167000*a = 0. What is a?\nAnswer: -4, 0, 2, 25, 2167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 873.1503 years to months.\nAnswer: 10477.8036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 46981365 divided by -5?\nAnswer: -9396273","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 856 is divided by 100?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u + o - 22, 0 = -u - o + 6. Let p = u - -3. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 45 + -35. Let f(y) = -y**2 + 12*y - 16. Let g be f(r). Suppose -4*m + a + 1223 = -925, -2148 = -g*m - 3*a. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**4 + 3 - 3)*(1 + a - 1) - 3*a**5 + 3*a**5 + a**5 - a**5 + a - a + 2*a**3 - 2*a**3 - 2*a**5.\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/11558 and 31\/3346041?\nAnswer: 6692082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -3*a - 4. Suppose -y = -a - 0. Let h(x) = x - 2. Let v be h(2). Put v, -2, y in descending order.\nAnswer: y, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 565315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 333563550 is divided by 244190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 345176257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from {a: 13, u: 3, d: 2, l: 1, w: 1}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -279 + 301. Let a be (-4 + 2)*19\/(-2). Suppose p*g - a*g = 93. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*i + 0 + 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -4*y**3 + 2*y**2 - 2*y + 1. Suppose 10*u + 901 - 71 = 0. Let w = 87 + u. Suppose 2*m - 14 = 4*m - w*g, 2*g = 4*m + 4. Determine r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5550564, 22202259, 49955084, 88809039?\nAnswer: 138764124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -7 + -e3?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -2*w - 6. Solve y - w = -d - d, d - 3 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 468*s**6 - 52*s**5 - 2*s**4 + 31121*s**2 wrt s.\nAnswer: 56160*s**3 - 3120*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 4 - 8. Factor -6\/7*u + 2\/7*u**a + 4\/7.\nAnswer: 2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 3 = h. Suppose h*y - 15 = 0, 2*g - 27 = -2*y + 3. Factor 13*j**5 - 4*j + g*j**2 - 5*j**3 - 6*j**4 - 6*j**4 - 4*j**5.\nAnswer: j*(j - 1)*(j + 1)*(3*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 40\/17 and -7\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f - 12. Let s = -12 - -20. What is o(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.88 + -0.58. Which is the nearest to -2\/5? (a) -1\/2 (b) x (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69493 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = 4*l - 50. Suppose l = -0*j + 2*j - 210. What are the prime factors of j?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0*3\/6 - 2. Let d be 18\/27*15\/(-10). Let j(w) = -w**3 - w**2 + w. Let k(a) = 3*a**2 - 2*a + 1. Calculate d*k(z) + v*j(z).\nAnswer: 2*z**3 - z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 6*p - 69. What are the prime factors of o(17)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/14)\/(3\/(-12)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -5*h + 7, h = -4*o + 19. Let r be (-3)\/2*(-2 + o). Let w be r\/108 + 2\/(-9). Which is the third smallest value? (a) 2 (b) 1\/6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 - z + 1. Suppose 33 = 47*x - 155. Let w(l) = -7*l**3 - 6*l**2 - 4*l + 4. Determine x*y(a) - w(a).\nAnswer: 7*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -3*j**2 + 6*j - 6. Let x(c) = c**2. Let h(z) = -w(z) - 2*x(z). What is h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0\/(3 + -11 - -4). Let l(t) be the first derivative of 3\/4*t**4 + s*t**3 + 0*t**2 + 3 + 5*t. Differentiate l(g) with respect to g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1645)\/(-20) + (-8)\/192*6. Solve u = t + 84 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 - -0.7. Let c = -1 - 1. Let x be 44\/(-33)*c\/(-12). What is the closest to x in 2, t, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 549 = -3*t, -2*t - 56*q = -53*q - 346. Calculate the remainder when t is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, 20, 33, 46, 59, 72?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.1 - -0.9. Let d = 8.095 + -7.6. Let v = d + 0.005. What is the second biggest value in v, j, 0, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 277098 is divided by 19789.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -394*n + 11259. Calculate s(32).\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*h**3 + 4199*h**2 - h**3 - h**3.\nAnswer: 2*h**3 + 4199*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 619 and 13174796.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/(-6))\/((-12)\/18). Let k = 16 + d. Suppose -49 = -3*a + 77. What is the remainder when a is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10063.7923 + 10063. Let b = l - -0.733. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/2, 7\/11, -20 in decreasing order.\nAnswer: 7\/11, -3\/2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0, -359, 1, -4, 3.\nAnswer: -359, -4, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000836 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24692111?\nAnswer: 24692111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2. Let z(r) = -r**2 - 9*r - 9. Let x(m) = m + 1. Let o = 48 + -29. Suppose -2*s + o = -17. Let q(g) = s*x(g) + 2*z(g). Determine n(q(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8784 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of -t**4\/60 - t**3\/15 + 2*t. What is b in d(b) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 32 = f - 3*m, -m - 26 = -f. Let y(v) = -45*v + 1241. What is the remainder when y(25) is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -3, -5.9, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -597*n - 80. Does 33 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14307926 to the power of 1\/2, to the nearest integer?\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68 - 31*c - 12 - 13.\nAnswer: -31*c + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 41, 206\/9, -0.09, 1\/10 in decreasing order.\nAnswer: 41, 206\/9, 1\/10, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from tehtsdhsmmesmemmhm?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is 0.0002513 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 370 - 1271 = 3*l + 215. Which is smaller: l or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 4*z = -21, 0 = -4*k + z - 7 + 26. Let r = k - 2. Solve f + b = r, -3*f = f - 5*b - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the third derivative of m**7\/105 - 2*m**6\/15 + 2*m**5\/5 + 71*m**2. Factor v(r).\nAnswer: 2*r**2*(r - 6)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 211102122 - -2?\nAnswer: 211102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1045 plus -4894475846?\nAnswer: -4894474801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0+-25\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, i: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10110021201 - -2?\nAnswer: 10110021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 18591, 37148, 55719, 74304, 92903, 111516?\n\"Answer: 7*w**2 + 18536*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 37 + -149\/4. Let h = 5138 + -5137.6. What is the biggest value in w, h, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -62*m + 402. Does 11 divide b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 + 1 = 4*q. Find the third derivative of -5*k**6 + k**3 + 0*k**q - k**3 - k**2 wrt k.\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -37*i**3 - 12*i**2 - 6*i - 6. Let u(m) = m**3 - 2*m**2 - m - 1. Give -6*u(a) + x(a).\nAnswer: -43*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.675 in -0.5, -2\/11, -136?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/130 and (-1)\/((-7)\/(1736\/(-624))).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 2*z - 75 = 0. Suppose 3*c = -2*c + z. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 18*y. Let d(a) be the third derivative of a**4\/12 + 61*a**2. What is d(q(r))?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 - 2 = -4*g + p, g - 6 = 2*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 1\/5, -3\/7, 826, -43?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6437778.00011 - -6437699. Let a = u + 79. Round a to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*u + 19304 - 17*u + 26*u - 1987 as y*u + n and give n.\nAnswer: 17317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2898404 is divided by 412?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 + 3*w**2 - 9*w + 19. Calculate the remainder when h(4) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1596 + -1595.88. Let i = -4 - -4. Let v = i + -0.1. Which is greater: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 986282?\nAnswer: 2, 11, 127, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 585800 divided by 50.\nAnswer: 11716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t**2 + 3*t**2 - 5*t**2 + (-2*t - 3*t - 2*t)*(2*t + t - t))*(-6*t**3 + 2*t**3 + 5*t**3).\nAnswer: -16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 + h**2. Let q(n) = 4*n**3 + 2*n - 1. Let y(c) = -3*k(c) - q(c). What is the units digit of y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 + 3*m**2 + 3*m + 2. Let h be p(4). Let y = h - -4. Suppose -y*q - 2 = -3*q. Solve -q*k - 2*i - 4 = 0, -k - 13 = -2*k + 4*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3172607 and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1357, -1328, -1225, -1012, -653?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-4)\/10 - (-69)\/(-10) and (-130)\/468*58\/(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -13*f + 3. Let g(l) = -14*l + 4. Let y(x) = 3*g(x) - 2*j(x). Let r be y(-6). Let a = -68 + r. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -91*b + 1455. Let c be j(16). Let d(o) = 17*o**3 - 2*o**2 - 4*o - 2. What is d(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -117 - -1?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 10 = -3*h. Let c(q) = q**2 + 18*q - 51. Let i be c(-21). What is the second derivative of -8*u + 2*u**2 - h*u**2 - 6*u**5 + i*u wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 9717768, 9717767, 9717766?\n\"Answer: -r + 9717769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -7000918, -7000917, -7000916, -7000915, -7000914, -7000913?\n\"Answer: p - 7000919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 4 - 2707288*d - 3.\nAnswer: -2707288*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 251387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 87113.49 kilometers in meters?\nAnswer: 87113490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(17) + 1)*1 + (-5*sqrt(85))\/sqrt(5))*-5.\nAnswer: -40*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 40127.53 rounded to the nearest 10?\nAnswer: 40130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(1\/2)\/(j\/(j\/j**(2\/77))) assuming j is positive.\nAnswer: j**(73\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -121490 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + -1. Let a be 4\/((-40)\/(-25)) - (-1)\/(-2). Suppose 0 = -l - a*l + 9. Solve -g + 4 = -5*v, -l*v + z*v = -5*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -5*b. Suppose b = -5*z + 4*z + 27. Suppose 3*p - z = -0*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 890671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 18 = -10. Let v be (1 + -34922 + 11)*q\/(-2). What is v rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -432771 (base 8) to base 12.\nAnswer: -6ba21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b**2 + 10. Let n(v) = -6*v**2 - 4828*v + 2. Calculate n(g(c)).\nAnswer: -24*c**4 - 9896*c**2 - 48878","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 4)*(0 - s + 0) + 2*s - 2*s - 2*s - 2*s + s - 4*s + (-9 - 3 + 1)*(-53*s - 4*s - 25*s).\nAnswer: 894*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-150) - -3*588\/(-450).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*c**3\/5 + 3018*c**2\/5 - 746811*c\/5 - 6169176\/5.\nAnswer: -3*(c - 507)**2*(c + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -3683*x**2 + 25712*x + 516. Give y(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2370*i = -1757*i + 7969 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 10 (c) -10.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 28*f - 116 - 24. Let x = 7 + 1. Calculate the lowest common multiple of x and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 64 + -42. Let v = -35 - -47. Calculate the lowest common multiple of v and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 284 is divided by 108?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.374, -16, 10, 4, 0.01 in ascending order.\nAnswer: -16, -2.374, 0.01, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 123*s - 18. Let h(y) = -15*y + 2. Let i(b) = g(b) + 9*h(b). Let a(z) be the third derivative of -5*z**4\/24 + 2*z**2. Give i(a(w)).\nAnswer: 60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*b**4 + 2*b**3 + 220411*b**2 - 4970727*b wrt b.\nAnswer: -84*b**2 + 12*b + 440822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1.456 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 209.37708 months in millennia?\nAnswer: 0.01744809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -4256, -4, -0.1 in descending order.\nAnswer: -0.1, -4, -4256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2351 = -120*s - 311 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -72599.599994 - -72600. Let j = g + -0.4. Round j to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*t**5 + 7*t**4 + 5*t**3*y - 3*t*y - t + 11 wrt t?\nAnswer: -60*t**3 + 84*t**2 + 30*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 15) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*o**5 - 8*o**3 + 4*o**2 + 13 wrt o?\nAnswer: -240*o**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 - 32*j**2 + 518*j - 29. Calculate y(12).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 4*h. Let c be i(2). Let b = -8 + c. Solve 0*d - 2*d = b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 140175 or -0.1?\nAnswer: 140175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1203 - -131010101?\nAnswer: 131003343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -36 - -97\/3. Let m be (-4)\/3*(175\/28 - 7). Which is the second biggest value? (a) m (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -345 + 357. What is the greatest common factor of g and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -26574\/5 - -5316. Suppose 2\/15*i**2 - 4\/5*i + r = 0. Calculate i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -38 - 37?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x**2 - 127*x - 69. What is h(-63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1558 is divided by ((-117)\/6)\/(30\/(-800)*5)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -78*l - 4852. Give r(-62).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -134, 1, -4, -26, -5, 5 in descending order.\nAnswer: 5, 1, -4, -5, -26, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/48 and 43\/3783.\nAnswer: 60528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve z = -3*y - 9, 4*z + 5*y + 22 = -0*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 1\/9 (c) -0.129 (d) 6 (e) -108\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 112027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b + 1. Let k(p) = 5*p**2 + 7. Let t(o) = k(o) + 2*y(o). Let z(v) = 3*v**2 - v + 5. Calculate 4*t(d) - 7*z(d).\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20165\/37401 - 2\/2877. Calculate the common denominator of 3\/257 and v.\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -y, -15 + 5 = -4*i - 5*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -4*u**2 + u. Let b be h(1). Suppose 2*w - 6*w + t + 71 = 0, -88 = -5*w + t. Let q = w + b. Calculate the least common multiple of q and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 3*k = -5*m + 14, -22 = -5*m - k. Suppose m*c - 31 = 5*c. Let j = c - -153\/5. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 148 and -0.03?\nAnswer: -4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2398 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.04? (a) -4\/11 (b) 5 (c) 0.4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 20659310471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1140 = 71*m + 61*m + 96*m. Solve -5*n - 40 + 25 = -d, -5*n - 35 = -m*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 13) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11.14 - 0.86. Sort o, 0, -5 in decreasing order.\nAnswer: 0, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -228274*o**2 + 882675*o**2 + 219131*o**2.\nAnswer: 873532*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.08746 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the third derivative of -r**5\/120 + r**4\/8 + 5*r**3 - 56*r**2. Let y(w) be the first derivative of q(w). Let x = -1 + -3. Give y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -26, 0.3, 0.2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21877 + -9097. What are the prime factors of u?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 23, -0.23, -0.118, -3, 2.9, 0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of -g**2 - 31 + 1\/8*g**3 + 0*g - 1\/48*g**4 - 1\/240*g**5. Let b(x) = 0. What is x?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 39) + 1788 + -1768?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 69\/(-84) + 102\/(-238). Which is the fourth biggest value? (a) -3\/7 (b) x (c) 2\/3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 221*d**2 - 343*d + 2061. Let u be i(6). What is the greatest common divisor of 84 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - f = -10836. List the prime factors of f.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-115*z - 14*z**2 + 115*z)*((4*z + 8 - 8)*(4 - 3 - 2) - z - 1 + 1) + (-z**3 + 2*z**3 - 3*z**3)*(1 + 3 - 3).\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) 5\/4 (c) -1 (d) -0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -3*h**2 - 44628*h + 21305871 = 0.\nAnswer: -15339, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + -41a?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 4*o - 60, -2*t - o = -t + 9. Let k be (t\/(-10))\/((-9)\/60). List the prime factors of (25\/4)\/((-2)\/k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 3*b - 217, 2*b + 103 + 515 = 3*y. Calculate the common denominator of 3\/(-3 - (-540)\/y) and 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26 + 44)*(17\/(-35) - (15 + 642\/(-42))).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 53*z - 3. Let r be c(2). Suppose 6*l = 389 + 31. Suppose -98*s = -r*s + l. What is the remainder when 68 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 9*g**3 - g**2 - g + 1. Let f be c(1). Suppose f*w - 2*w = -12. Sort 0, w, -3.\nAnswer: -3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5796448367.\nAnswer: 17, 340967551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 PM and 6:07 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 797, 806, 827, 866, 929?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*s**2 - 378175*s + 3025720.\nAnswer: -5*(s - 8)*(s + 75643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 7 = -5*x - 4*u, -5*u = 4*x - 2. Calculate the lowest common multiple of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of -x**2\/2 + 2*x + 6. Let u be j(0). Suppose -5*s = -a - 431, -a + 344 = 4*s - u*a. List the prime factors of s.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 78730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1121896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -3 - 3. Let q(w) = -w**3 + 7*w**2 - 7*w - 2. Let o be q(a). Let t = o - -13. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*(k\/(k\/(k*k*k**(-2\/3))))\/k*k*k)\/k**(6\/11))\/(((k**(6\/11)*k)\/k)\/(k*k**(-7))) assuming k is positive.\nAnswer: k**(-91\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 370612359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*b - 5*o + 46, 5*o - 5 = 0. Let a = 15 + -16. Let r = a - -4. Solve d = -r*d - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/(-6))\/(6\/171). Let d = b + -16. Let a be ((-3)\/(-27) - 0)*d. Put 0.1, a, 0 in descending order.\nAnswer: a, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (22 - 28)\/(0 + (-3)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -757 (b) -3 (c) -0.5 (d) 0 (e) 3.4 (f) -6\/7 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -80 - -168. Suppose -26*t - r = -30*t. Let n = 9 + -3. Calculate the remainder when t is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**0\/r)**(-2\/9))**(-13)\/((r**1*r*r\/(r*r**(-4\/7))*r)\/((r*r\/r**(-4))\/r**(-2\/3))) assuming r is positive.\nAnswer: r**(13\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of 0*a**2 - 188*a + 279\/20*a**5 + 2\/3*a**3 + 1\/6*a**4 + 0. What is the third derivative of c(x) wrt x?\nAnswer: 1674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -14*u + 9 - 8 - 4*u - 3 + 2*u + 3 + 5*u - 4*u - 2*u + (3 + 1 - 5)*(2*u - 5*u + u).\nAnswer: -15*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 190 - 34. Suppose -2*p + 214 = -v. Suppose -2*x - 55 = -p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 129990 - 130510.968. Let m = -521 - p. What is m rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 9 - (2 + (0 - (3 - 2 - 9)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**21)\/c**(-21) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000016204 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -o**7\/1470 + 3*o**5\/140 + o**4\/42 - 2*o**3\/7 - 29*o**2. Factor d(u).\nAnswer: -(u - 3)*(u - 1)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a - 2*a + a. Let m(k) = 56*k**2 + 11*k - 11. Let g(z) = 11*z**2 + 2*z - 2. Suppose x - 6 = -17. Let w(y) = x*g(y) + 2*m(y). What is o(w(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -4\/15, 1\/12 in increasing order.\nAnswer: -4\/15, 1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19621394.\nAnswer: 2, 13, 59, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 83623 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-11 + 78 + -30 + -50).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (0 + 1 + (-745 - -735)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 + 2*j**2 + 1. Let y be z(2). Let p(f) = -f + 7. Let m be p(4). Suppose -3*a + m*d - 1 = y, -5*a + d = 18. Sort a, 5, -2.\nAnswer: a, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21184554*o**3 + 1255*o - 337.\nAnswer: 127107324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -163412\/3 or -54471?\nAnswer: -163412\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -144035 (base 6) to base 15\nAnswer: -4182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17299116 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 7 + (20 - (11 + 11))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1342 + 1345. Sort n, -1, -6.\nAnswer: -6, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-558)\/168 - 4240\/2968?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/8 and -3*2\/228*212\/50.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -71 + 1165. Calculate the least common multiple of 24 and o.\nAnswer: 13128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 19 = -2*h + b, -5*h + b = 23. Suppose t + 5*u + 1 = 0, 3*u + 23 = 4*t + t. Suppose 22 = 2*q + t*k, -4*q - k - 2*k = -24. Sort h, 5, q.\nAnswer: h, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes before 7:26 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2 - 3*h + 12*h**3 + 3*h - 7*h**2 - 4*h**5.\nAnswer: -4*h**2*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 56 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 5*x = -18, -3*k + 5*x = 2*x - 24. What is the remainder when 34 is divided by 196\/k + (-18)\/(-99)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -97, -404, -897, -1576, -2441?\nAnswer: -3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 3*m - 11. Let j = -13 + m. Let v be (-4 - -5)\/((-1)\/5). Sort j, -4, v in increasing order.\nAnswer: v, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - z - 245 = 0, -3*z + 474 = 5*x - 166. Suppose 3*u - 3*f = 3864, -5*f = u - x - 1145. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/(-3) - 2\/(-6). Calculate the common denominator of -4 - -1 - (-110)\/16 and 98\/10 - (-2 + m).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1845)\/(-10)*4\/(-2). Let c = r - -365. What is the closest to -6 in 3, 1\/12, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21 - 22. Let j be -2*(-1 + (-3)\/v). Let f = 0 + j. Sort 2, f, 3 in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8923?\nAnswer: 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -4*s**2 + 111*s + 1. Let r(l) = 3*l**2 - 112*l - 1. Give -2*j(m) - 3*r(m).\nAnswer: -m**2 + 114*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 232 divided by 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = 130 - 128. Suppose -16 = -5*f - p - 0*p, -3*f + p = -8. Suppose -f*t - 31 = -4*u, t + u + 0 = -1. Sort -4, t, z in decreasing order.\nAnswer: z, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2268*x + 750*x + 738*x = -733*x - 3384 for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 62\/3 of a week in hours?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 2, w: 7, y: 2, m: 1}. What is prob of sequence myw?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - 13*r**2 - 12*r + 3. Let l be h(14). Suppose 271 = 10*x + l. Calculate the lowest common multiple of 12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 257804 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1, -83 in ascending order.\nAnswer: -83, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*z + 4 = 34*z, 104 = 4*b - 5*z. What is the remainder when 11219 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44779 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8433326411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes before 4:54 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*g + 5*g + 2. Let v be 33\/(-130) - g\/(-13). What is the closest to -0.1 in 4, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-6)\/(-4))\/(10\/220) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 - 9. Suppose -k*y = -2*o + o + 12, -1 = y. Calculate the lowest common multiple of 2\/(-1)*4\/(4\/(-3)) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.429 and 0.2.\nAnswer: -0.0858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x = -7335*t + 7336*t + 9, -4*t - 9 = x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the second derivative of 4*w + 0*w**2 - 1\/12*w**4 + 0*w**3 + 0. Let a(o) = 4*o**2. Determine a(g(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*r + 11*r = -3*h - 12, -h = -2*r - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 4*a + 20 = 0. Let d(r) = 0*r - a*r - 1 + 7 + r. Let y be d(-1). Solve 0 = 3*v + 3*f, 0 = v + 3*v - f + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 426433 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*p**5 + 79720*p**4 + 2*p**3 - 8634341*p**2 wrt p.\nAnswer: -180*p**2 + 1913280*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -56*j**3 + 5*j**2 - 2*j + 2. Let c(f) = -111*f**3 + 11*f**2 - 4*f + 5. Determine 4*c(z) - 9*x(z).\nAnswer: 60*z**3 - z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:43 AM and 12:11 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*y**2)*(y - 3*y + 12*y**3 - 7*y**3 - y**3 + y**3 + 2*y**3 + (1 + 0 - 3)*(y**3 + 4*y**3 - 3*y**3) + y**3 + 3*y**3 - 3*y**3).\nAnswer: -8*y**5 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**4 + k**2 - k**2 + (43*k - 55*k + 134*k)*(k**3 - 4*k**3 + 2*k**3)*(0 + 0 + 3).\nAnswer: -368*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -8\/3, -3\/127, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4 - -6) + -2 - (1 + -4). What is the nearest to -2\/7 in 0.01, z, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes before 3:34 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 + 14*r**2 + 15*r + 16. Let n be d(15). Calculate the highest common divisor of 128 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10\/1483 + 2856\/16313. Put 0.5, -63\/4, c, 0.06 in decreasing order.\nAnswer: 0.5, c, 0.06, -63\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**4)**2*(c\/(c*c*c**15))\/((c\/(c**(-6)\/c))\/c*c*c) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-49)\/(-28) + 676\/16. Solve -5*i = 6*i + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162066 is divided by 4379?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 2\/7, 129.9, -2\/9, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 30*o**2 - 5156*o + 15478. What is a(3)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/8 - 3\/6. Let d(i) = -i**2 + i - 32. Let v be d(t). Let w = -25 - v. Solve 0 = -w*l + 2*l - 5*h, 5*h = 3*l + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate (-18 - (2 + -8 - 1)) + (1 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 s when three letters picked without replacement from ssssssvsvv?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 3442, 3449, 3452, 3445, 3422, 3377, 3304?\n\"Answer: -b**3 + 4*b**2 + 2*b + 3437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*n + 64*n - 46 = 0. Solve -6 - n = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -260*t - 17548 = 554*t - 67202 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-72)\/528*-3*4\/(-9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8\/(-20) + 3\/(45\/3171)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 16) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.5 (b) 189 (c) 1 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 3.999313?\nAnswer: 19.996565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z + 50 + 50 + 51 - 151.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 465 (base 12) in base 7?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*r**2 - 161059 + 161059.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -274.91 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -3*i + 1 - 3*i - 4 - 2*i. Let d be m(-6). Let v = d + -27. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 - 38 = 11*u. Let q(f) = 2*f**2 - 3*f + 4. Let o(h) be the third derivative of -h**3\/6 - 2*h**2. Calculate u*o(n) - q(n).\nAnswer: -2*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 834781726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1020 and 2630?\nAnswer: 268260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 - 396*i**2 - 26325*i + 2733750.\nAnswer: -(i - 54)*(i + 225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2424879866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 6*a = 6. Is 56\/a - (-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 39123796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -5186, -5021, -4846, -4655, -4442, -4201, -3926, -3611?\n\"Answer: d**3 - d**2 + 161*d - 5347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 568252 is divided by 22730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o = -4*o + 4. Let j = o + -4. Let n(g) = -5 + 1 + g**2 - 5*g - 1 + 0. Let h(v) = v**2 - 3*v - 3. Give j*n(t) + 5*h(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 32 - 95\/3. Let u be 2*((-46)\/(-16) - 3). Let h = 1.2 + -0.2. What is the closest to z in h, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16394556.\nAnswer: 2, 3, 1366213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 1 - (1 + 0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 + 8*p**2 + 10*p + 6. List the prime factors of y(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -6*u + 11. Let t be i(8). Let r = t + 37. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of j**3\/6 + 4*j**2 + 2*j. Let z(h) = -180*h - 1268. Let w be z(-7). What is c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/(5220\/(-4908)) - (135 - -5)\/10.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + 9 - (-6 - (0 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 136 + -91. Let f be ((-102)\/c + 2)\/((-4)\/18). Factor 0*h - f*h**3 + 2\/5*h**2 + 0.\nAnswer: -2*h**2*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12452603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -5*h - 2. Let j be l(-1). Solve 5*k = j*v + 35, v + 2*v = 2*k - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -c - -cb?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and 138050850.\nAnswer: 41415255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1195 - 1054. Do m and 145 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 87.161854 - 87.16. Round l to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - 1000?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3144335, 3144322, 3144315, 3144314, 3144319?\nAnswer: 3144330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 413725 and 25259?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 183904?\nAnswer: 2, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (56 - (111 + -35)) + -21.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v. Let l(a) = -5*a - 4. Let r(k) = -l(k) - z(k). Let f(c) = -5*c - 5. Give 3*f(n) + 4*r(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5 + sqrt(32)*1 - sqrt(32)) - (0 + ((0 + sqrt(72))*-1)**2).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.5693014 times 0.06\nAnswer: 0.034158084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -4*v - 672, -5*w = -w + 4*v - 656. Let x = w + 213. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -2*b**3 - 4*b**2 + 592*b. Let l(n) = -n**3 - 2*n**2 + 295*n. Determine -13*l(s) + 6*q(s).\nAnswer: s**3 + 2*s**2 - 283*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -173\/840 and -119\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -448515\/7 greater than or equal to -64074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 496 and 608?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1687 + 1715. Solve 3*i = -w*i + 62 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1034 - 82. Let n = i + 1116.00001093. Round n to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(121) - (-3*sqrt(121) - sqrt(121))*3 - -3*(sqrt(121) - 4*sqrt(121)))\/(2*sqrt(132)\/(sqrt(192) + 3*sqrt(192))).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is z in -3*z**3 + 171*z**2 - 648*z + 636 = 0?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 120 is divided by 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 2294.809 milligrams to kilograms.\nAnswer: 0.002294809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 + 7. Suppose -2*i + i = -1. What is the third smallest value in k, i, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 307*q - 617*q + 209*q.\nAnswer: -101*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r + 6*r**3 + 2 - 2*r**3 - 3*r**3 + 4*r**3 to w + o*r + i*r**3 + x*r**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 5*v - 3. Let l(k) = -99 + 12*k - 7*k + 0*k + 99. Give l(o(a)).\nAnswer: 25*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 23472 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: Work out -1 * 25379.\nAnswer: -25379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 22856077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-2) + (-2)\/12. Let h = -2.5 + 2. Let w = h - -1.5. Which is the third smallest value? (a) w (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the third derivative of f**5\/10 + 604*f**2. Let g(w) = -315*w**2. What is v(g(y))?\nAnswer: 595350*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30758?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -114885? (a) -5 (b) 1.87 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*f - 3*f + 18. Is 4 a factor of 25 + f + 2\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 - -14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -26*q**6 + 272*q**5 + 36*q**2 + 647 wrt q?\nAnswer: -3120*q**3 + 16320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2789454788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 2 + 4)*(-92*r - 11*r**2 + 92*r) + 3*r**2 - 2*r + 2*r)*(2*r - 2*r + 2*r**2).\nAnswer: -38*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5103456 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence soos when four letters picked without replacement from osoosjooooosoojosjj.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 79 = 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 34009325 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -18 (c) -2\/9 (d) 0.3 (e) 1.45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 110331 (base 5) to base 6\nAnswer: 25441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (2 - -2) + (40 - 42) + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 AM and 8:11 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/b**3)*b*b**(-8)*(((b\/(b**(3\/7)*b))\/b)\/b)\/(b*b*(b\/b**(9\/5)*b*b)\/b))**49 assuming b is positive.\nAnswer: b**(-2114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 AM and 8:49 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Subtract 26459.2 from -0.5.\nAnswer: -26459.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 215 and 860?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 5*l + 16. Let z be x(-7). Suppose z = -11*g + 10*g. What is the remainder when 40 is divided by -1*-4*(-7)\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + y - 12 = -3*j, 0 = -5*j + 3*y + 28. Suppose q + 2 = -c - 0, -3*c - 2*q = 10. Let l = j + c. What is the third smallest value in l, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and 352?\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2653402*o**3*p*z + o**3*z - 7*o**2*z + 374*o*p*z - 6*o*z - 24*p*z + 36*z wrt o.\nAnswer: 15920412*o*p*z + 6*o*z - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9535\/17 + 561. Let t = -3\/11 - -45\/44. Sort -2\/5, t, p in ascending order.\nAnswer: -2\/5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 26539*n**2 - 26539*n**2 + 114*n**5 - 3 + (2*n + 2*n - 2*n)*(-2*n**4 - 2 + 2).\nAnswer: 110*n**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 8897*n + 409302. What is d(-46)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -39292 + 39278. Sort 1, 0, a, -15 in descending order.\nAnswer: 1, 0, a, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -2b6a42 (base 12) to base 4\nAnswer: -2310011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 2*c**2 + 7*c + 6. Suppose -5*j = -j - 12. Let s be (j\/(-6))\/((-3)\/(-24)). Calculate the lowest common multiple of 4 and f(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-3)*(-1188)\/594*(-177)\/(-10)?\nAnswer: -59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 186 + -186. Are -107 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 335.33046us in hours?\nAnswer: 0.00000009314735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8 + 42 + 5)*(-36 - 8*m**4 + 36) to the form u*m**2 + j*m**4 + z + q*m + i*m**3 and give j.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/4, -0.1, 67.5, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 + 2*l**2. Let f(c) = -2*c**2 + 22*c**3 - 23*c**3 + 7 + 4*c - 2 - 4. Let o be f(-3). What is p(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1336 - 1321. Let z = -136 + 259. Let s = z + -66. What is the remainder when s is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, u: 2, a: 1, t: 1}. Give prob of picking 1 t and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10.14 - -10. Let l = 0.06 - q. Which is the third biggest value? (a) l (b) 2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*v = -24*v - 8. Suppose -4*p - 6*x + 701 = -x, -v*p + x + 671 = 0. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -48 - (-2)\/(2\/3). Is 27\/s - (-236)\/10 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.07 + 0.07. Suppose -4*z + 44 = 4*t, -4*t + 3*z + 21 = -t. Suppose t*r = r - 8. Which is the closest to d? (a) 3 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2950, 2960, 2974, 2992, 3014?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 176 (b) -362 (c) 3\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w**5 - 39*w**4 - 123*w**3 - 141*w**2 - 54*w = 0.\nAnswer: -9, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -19890*d**2 + 4*d.\nAnswer: -2*d*(9945*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24694 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 - -4)*2\/6. Let x be -762626 + 1*(a + 2). Let o = x + 1432623. Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 286 - 134. Suppose 180*k = p*k - 168. Sort -10, 3, k in descending order.\nAnswer: 3, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000247734 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -2020?\nAnswer: -3\/2020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -622 + 615. Let v(m) = 11*m**2 + 6*m + 21. What is the remainder when v(p) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -187 - -181. Let r be 16\/(l - -14)*2. Solve -2*n - d - r = -6*n, 2*d = -2*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 6*r - 15. Suppose 2*w - t = -3*w + 205, -w + 15 = r*t. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 32, 75, 180, 377, 696?\n\"Answer: 5*w**3 + w**2 + 5*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 82400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -46 * -3730787\nAnswer: 171616202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2057002 divided by -3713?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5c8a + -819?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 3144220, 1 in ascending order.\nAnswer: 1, 2, 3144220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i*i**(-2)*i*i*i\/(i*i**7)*i)**(8\/7)*((i\/(i**(-2\/7)*i)*i)\/(i\/(i**(1\/5)\/i)*i))\/(i\/(i\/(i\/(i*i**0))))**(-3\/10) assuming i is positive.\nAnswer: i**(-213\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3533, 13377, 29799, 52811, 82425, 118653, 161507, 210999?\nAnswer: 267141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.252006 + 0.2539. What is j rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -3) + -6 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 8*c - 10*c - 2*w, -2*w - 28 = -2*c. Let h(m) = 11*m - 86. What is h(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/3193254 and -43\/11?\nAnswer: 35125794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 70 + -24. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -56869.3 to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 12*r**3 - 899*r**2 + 3607*r. Let y(k) = 32*k**3 - 2395*k**2 + 9619*k. Let d(g) = -19*m(g) + 7*y(g). Factor d(l).\nAnswer: -4*l*(l - 75)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1152 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - 7*k**3\/6 + 3*k**2\/2 + k. Let o be m(6). Let p = o + 7. Solve -7 = s - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 157320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 6 + 4*v**2 + v - 6. Suppose -w - 2 = w. Give b(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.4 (b) -5.4 (c) 0 (d) -13176\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-5 + (-4 + sqrt(1872)*2 + sqrt(1872))**2 + (-1*sqrt(1872)*-3*6)**2).\nAnswer: -2493548 + 1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -10000 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1459 - 1459.000004664. What is i rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8 - 17\/(408\/176). Which is the nearest to 7.6? (a) 5 (b) -2\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 2*x = q - 11, -q - 2*q - 378*x + 9 = -376*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 702632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffrrfefehffhhffhrec. Give prob of picking 2 h.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 6:48 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06263146 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13021*s**2 + 21765*s**2 - 8761*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 694 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: Let p(w) = -w. Suppose -2*g - 5*m + 39 = 0, -4*m + 7*m - 1 = 2*g. Suppose 4*b - 15 = -g. Let s(u) = 11*u**2 + 15*u**b + 8*u**2 - 13*u**2. Calculate p(s(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**2 + 4*x - 2. Suppose k - 4*z - z = -12, 9 = -2*k + 5*z. Let l be n(k). Let g be (-2)\/3*3*1. Sort l, -5, g in decreasing order.\nAnswer: l, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2167151 and 4088.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -275*w**2 + 579*w**2 + 61*w**2 + 98*w**2.\nAnswer: 463*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24 + -20. Suppose -2*v + d = -6, 4*v = -3*s + 80. Calculate the remainder when s is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(900)*3)\/(-1*sqrt(50) - sqrt(50)))\/((sqrt(12) + sqrt(36)\/(sqrt(75) + sqrt(3)))\/(sqrt(72) - (2*sqrt(72) + sqrt(72) + sqrt(72)))))**2.\nAnswer: 78732\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -2*q**2 + 616*q + 6016. Calculate p(-10).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(-1) + 1284367\/(-126). Let u = b + 10200. Calculate the common denominator of u and -41\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156)*-2*-6 + 4*2*sqrt(156))\/(5*(sqrt(768) - (-2*sqrt(768) + sqrt(768)))).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 33058 divided by 2?\nAnswer: 16529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 6799525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10323 - -13302?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 61.283 hours to nanoseconds.\nAnswer: 220618800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 + 2009?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 3*j + 2. Let g = 4 + -8. Let w be g\/(-10) + (-27)\/(-45). Let b = 3 - w. Determine p(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pujjptpjqqqqqpq. Give prob of sequence up.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 2 (c) 432343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rreewomorroemwrewrre. What is prob of sequence roor?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 6*l + 83. Let q be r(-14). Let k(a) = -24*a**2 - 1. What is k(q)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.13? (a) 35 (b) -6114 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand s + 2*s**2 - s + (-s - 18*s + 57*s)*(7 - 7 + 5*s).\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2684 - 979. Calculate the highest common factor of 55 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11960 and 34948316?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = -4*u - 140, -2*k - 2*u - 30983 = -30925 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(6\/12*9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q + 3. Let j(w) be the first derivative of w**3\/3 - 7*w**2 - 21*w - 42. Let l be j(16). Suppose -l*z + 56 + 32 = 0. Determine o(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26737 - 26733. Let g = -5 - -4.98. Let x = -0.2 - g. What is the closest to 0 in -2, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of 3*b**5 - 85*b**4\/4 - 40*b**3\/3 + 30*b**2 - 55. Factor d(p).\nAnswer: 5*p*(p - 6)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6171010799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -51\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 132680361 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of -d**5\/5 + 7*d**4 + 44*d**3\/3 + 2*d + 200. Factor g(y).\nAnswer: -4*y*(y - 22)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1, -0.3, 2\/89, 29 in descending order.\nAnswer: 29, 2\/89, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -5*k + 253 - 1163, -3*k - 2718 = -3*f. Let t = -902 + f. Let l(u) = -u**3 - u**2 - u + 3. What is l(t)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 46 and -0.255.\nAnswer: -11.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 - 4*f**3 - 7)*(-1 + 0 - 3) + 5*f**3 - f**2 + f**2 to p*f + h*f**3 + m*f**2 + c and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of -10*s**3\/3 + 9*s**2\/2 - 6*s. Let q be x(7). Let g = 134 - q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-3)*(l*l**(-5)*l)\/l)\/((l**(2\/9)\/l)\/l**2) assuming l is positive.\nAnswer: l**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6219, 6255, 6365, 6585, 6951?\nAnswer: 7499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -649 + 655. Let f(n) = -n**2 + 4*n + 5. Calculate f(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -g*i**4*x + 2107*g*i**4 - g*i**2 - 10*g*i - 37*i**3 + 723*i**2*x - 3*x wrt i?\nAnswer: -24*g*i*x + 50568*g*i - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3123*k**3*z**3 - 1921*k**3*z**2 + 5622*k**2*z**2 - 785*k*z**3 wrt k?\nAnswer: 18738*z**3 - 11526*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((6 - 6)\/4)\/(-2). Let q = -2535127\/333 + 7613. Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*z - 83*z + 2*z**2 - 30 + 41*z = 0. What is z?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 65, 76, 93, 116, 145?\n\"Answer: 3*k**2 + 2*k + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -70 (base 14) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 139301461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 566 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of o**4\/10 + 28*o**3\/15 + 43*o**2\/5 + 12*o - 151. Factor w(a).\nAnswer: 2*(a + 1)*(a + 3)*(a + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 f when three letters picked without replacement from kbfkbbukybcbykyyyyyf.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2594, 2581, 2558, 2525, 2482, 2429?\n\"Answer: -5*i**2 + 2*i + 2597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 136*q - 84*q = 425776. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -181\/100123320 and -27\/660880.\nAnswer: 200246640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 - 9*b + 11. Let y be q(6). Let o(h) = h**2 + 2*h - 8. Does 6 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5719 and 98?\nAnswer: 80066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than -1\/101104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 16, -0.2798, 0.1, -1, 3.5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = 4*o + 2. Let g(l) = -9654*l**2 + 9646*l**2 - 24 + l**3 + 21. Determine g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s. Let u(q) = -107170*q + 1. Calculate u(r(k)).\nAnswer: -107170*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -88, 139, 3, 60 in descending order.\nAnswer: 139, 60, 3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 6*c - 8. Let t(u) = 4*u - 5. Let v(p) = -7*t(p) + 5*x(p). Let k(a) = -2*a - 39. Let z be k(17). Let w = z - -77. Determine v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 551 (base 13) to base 9\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**3 - 1017*l**2 - 4083*l - 1022. Determine p(1021).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -209 + 257.9. Let g = c - 49. Which is smaller: g or 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -284*r*u**2 - 2*r*u + 5*r + 47005*u**2 - 14*u - 479796 wrt u.\nAnswer: -568*r + 94010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 77008 is divided by 202.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 10\/11, 3\/5, 17, 2\/15, 0.1 in decreasing order.\nAnswer: 17, 10\/11, 3\/5, 2\/15, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*r - 2*r. Calculate the remainder when -116*2*(-3)\/12 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21) + sqrt(756)*-1)\/(sqrt(33)\/sqrt(275)).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 68 + 12. Suppose -2*u + h = -3*l, -7*l = 3*u - 4*l + 6. Suppose -u*w = -7 - 9. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 - -12. Let d = 600 - 600.5. What is the second biggest value in -0.1, -2\/5, d, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 39 + -34 + 0 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.21? (a) -2\/13 (b) -1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 101101101110010 (base 2) in base 3?\nAnswer: 1012010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 2331*j - 32632. What is t(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + y + 16 = 0, -5*y = -0*k + 5*k - 60. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 + 0)*(-1 + 1 - p) - 8*p - 3*p + 4*p to h*p + o and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + ((-56)\/16)\/((-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 200454056 and 1749?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 5:14 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = 2*s + 3*m, -3*s + 2*m + 0 - 31 = 0. Let w be (0 - 1) + s + 19. Suppose w*k - 21 = -2*k. Solve -19 + 0 = -h - 3*r, -k*h + 4*r = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - 0. Suppose 0 = 3*i + h*i - 20. Let d = i - 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + 1012201?\nAnswer: 1012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 14 - 25?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4570 and 11882?\nAnswer: 59410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-21)\/14)\/(7 + (408\/(-16))\/3). What is the second biggest value in -4, -0.044, k?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 27319 - 21753. Is 72 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -64895?\nAnswer: -2\/64895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z - 1. Let c(m) = m + 9. Let i be c(-6). What is j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -22*j**2 - 135*j - 8. Determine f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -13267 (base 8) to base 12.\nAnswer: -3447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -551*l**6\/15 + 1015*l**2\/2 + l - 50. Find the first derivative of c(k) wrt k.\nAnswer: -4408*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35 + 37)\/((-76)\/262) + 7.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 103522508?\nAnswer: 2, 173, 211, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5488979461 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.1 - -1.1. Let j = -0.03 + -0.05. Let a = j + g. Round a to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.5 - -0.1. Let p = 99 - 99.038. Let t = p + -2.962. Which is the closest to -0.2? (a) -0.2 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(1\/3*(-780)\/65)*468\/(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1710, 2359, 2972, 3531, 4018, 4415, 4704?\n\"Answer: -3*h**3 + 670*h + 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 34\/899479 and -4\/133?\nAnswer: 899479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be 300\/90 - (-4)\/(-3). Let y be (-2)\/(-12) + 2 + 140\/(-48). What is the second smallest value in 3\/2, -2, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10 - 9 - 2*i**2 + 145*i**3 + 10*i**3 in the form z*i**3 + k*i**2 + y + l*i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-7)\/2*220\/(-385). Let a(c) = 4*c - c**p + 2*c**2 - 25 + 14 + 7. What is a(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 232267234 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30303*c + 3 - 60608*c - 1 - 2 + 30291*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000014668 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 4 = -v, -12 = -2*t + 2*v. Let n(y) = -y**3 - 3*y**2 - 2*y + 2. Calculate the remainder when n(-3) is divided by (6\/t)\/(((-9)\/(-3))\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(60)*1)\/sqrt(12) - (sqrt(60) - sqrt(8640)*1)\/sqrt(12) - ((sqrt(125) - (5 + sqrt(125)*-1 + sqrt(125)))**2 - 6*-4*(0 + sqrt(5) + sqrt(5))).\nAnswer: -150 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 5210 (b) -0.4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4\/7 (b) 0.4 (c) -3 (d) 2\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 2*k + 9. Differentiate 9 - 2 - 3 + 12*y**2 - k*y**2 wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 7:14 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 551932575.80000049 - 551932626.8. Let u = -51 - w. What is u rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, x: 2, u: 3, v: 4}. Give prob of sequence vxv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) be the first derivative of s**3\/3 + s**2 - 6*s + 15. Let l be g(-4). Suppose 4*i = l*i + 34. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -294*0.1\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1000110011 (base 2) in base 13?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104308513?\nAnswer: 37, 2819149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -3. Let s(h) be the first derivative of -h**4 - 17 - 4*h**3 + 5*h**3 + 3*h**y + h - 13*h + 2*h**2. Factor s(g).\nAnswer: -4*(g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of i**5\/2 - 372*i**2. Let f(g) = 8*g**2. Give f(z(n)).\nAnswer: 7200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {n: 7, t: 6, g: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/3 - (-28)\/6. Let y be (10\/3)\/((-3)\/(-18)). Let b be (4\/(-70))\/(4\/y). What is the third biggest value in f, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y**2 - 74*y + 9028. Calculate i(65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 39*z - 1. Does 11 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 19 + 5. Calculate the highest common divisor of 48 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*m + 12 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 261*n - 241 = 259*n + 85*a, -5*n - 5*a = 50 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 15 = 4*a. What is the hundreds digit of (44\/(-5))\/(a\/(-195))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -71660887288 + 9229.\nAnswer: -71660878059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -14. Let j(a) = 5 - v - 2*a - a - 1. Calculate j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (198\/(-3168))\/((-5)\/(-12)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from cjjbpnz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uqcucucccuccuqcucee. Give prob of sequence uqq.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -12*t + 61. Suppose -5*j = 2*i + 3, -3*j - 6 = -2*i - 1. What is the lowest common multiple of h(5) and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 0 - (-25 - (30 + -88))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**3 - 9*n**2 - 113*n - 395. Calculate u(22).\nAnswer: 3411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29295540?\nAnswer: 2, 3, 5, 54251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 511.44023359 + -511.44. Round g to six dps.\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((((-182)\/(-49))\/13)\/5)\/((-7)\/(-196)*244)\nAnswer: 2\/305","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17 + -50\/3. Which is the smallest value? (a) g (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*i + 2*i + 12. Does 29 divide 3 + (0 + i)*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 57 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/25*10\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -u. Let o = -12726 + 12730. Solve -4 = m - g, -3*m - m - o*g + 16 = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 3171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -2831919 divided by -110\nAnswer: 2831919\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n = 5*i + 9*n + 19, -3*n = -3*i - 15. Let t = 4 + -6. Put -3, t, i, 0 in decreasing order.\nAnswer: 0, t, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 2*q**2 - q + 4. Let d(f) = f**3 + 29*f**2 + 31*f + 88. Let i be d(-28). Determine l(i).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**2 - 196*s - 2274. Let x be q(-11). Let d(g) = 3*g**2 + 4*g + 2. Let h be d(-2). Put 4, x, -4, h in decreasing order.\nAnswer: h, 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 + 2. Let p be (0\/1)\/(r\/(-2)). Sort -1, p, -5 in ascending order.\nAnswer: -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (32\/(-14) + 52\/182)*4. Put -5, 9, x in decreasing order.\nAnswer: 9, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -271 + 277. Suppose 5*o = -m + 29, -5*m + x = o - 19. Solve -m*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 194817687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9203 + 9343. What is the least common multiple of 8 and n?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 + i**2 - i - 1. Let g(p) = p**2. Determine g(n) - z(n).\nAnswer: -n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1098, 70, -2700, -8082, -16946, -30162?\n\"Answer: -145*t**3 - t**2 - 10*t + 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-799)\/153 + 4\/18. What are the prime factors of -1 + 2 + i - (-200 - 1)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9 + -19 - -14) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4422297 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2298331 to the power of 1\/2, to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -33780*y - 608040. Determine g(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus -3253?\nAnswer: 3250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 55 + -52. Solve -3*a + p = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 61\/610*-610 + 88?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 143, 501, 1191, 2321?\nAnswer: 3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**3 + t**2 + 14*t + 31. Let n be c(-6). Let i = -181 + n. Solve 5*a = -d + 23, -i = 5*d - 5*a + 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of 25*q**3\/6 - 195*q**2\/2 + 13*q. Let f be h(8). Solve 3*j = 2*n + 10, -5*n - 5*j - f = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 862590?\nAnswer: 2, 3, 5, 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 15161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the first derivative of 7*h**2 + 7. Let s(a) = -2*a**2. Calculate s(z(d)).\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/4)\/(83\/(-4)). Suppose -5*z - 216 = 2*x - 183, 0 = 6*x + 4*z + 22. Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -53628168 divided by -242.\nAnswer: 221604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -9634*b**3 + 14*b + 1226651 wrt b.\nAnswer: -28902*b**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**2 - 8*h + 8. Let o be q(-8). Suppose 5*t + 0*t - 1 = -3*i, 2*i - t + o = 0. Is 1 - (-6)\/i*-12 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1650812865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 499435692 a multiple of 3836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 148380 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of n**6\/120 - 7*n**5\/20 + 9*n**3\/2 - 19*n**2. Is 4 a factor of r(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 9 = 3*b + t, 5*t = 5*b + 15. Let k(a) = -3*a - 4. Let j be k(b). Suppose -2*n + 9 = -q + 1, 0 = 5*n + j*q + 10. Are 1\/2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -47? (a) -79\/2 (b) -25 (c) -4 (d) 1\/3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 312, 281, 276, 309, 392?\n\"Answer: 2*o**3 + o**2 - 48*o + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -2*s - 2. Let y(n) = -5*n - 5. Let v(f) = 10*h(f) - 3*y(f). What is the tens digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2*(2 - 3))\/(5*6\/(-60)). Is v less than -28\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.232 - -4.232. What is the nearest to -0.5 in -2, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, -0.1, 877, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 377 - 376.5. Which is the smallest value? (a) 1 (b) o (c) -0.3 (d) 0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -144749*m**4 + 4093*m**2 + 12*m wrt m?\nAnswer: -3473976*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, n: 1, d: 2, w: 6, o: 5}. Give prob of picking 1 o, 1 n, and 2 s.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -17*y**2 - 6*y**2 + y**2 + y**2 as v + f*y + z*y**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -742.9 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 9 = m, 0*o - o - 7 = m. Let a be -6 + 1*(-3 - m). Let c(n) be the third derivative of -n**6\/120 - n**5\/15 - n**4\/24 + n**3\/2 + 5*n**2. Give c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90512958287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 12*h - 11. Let r be (-16)\/(-10) + (-80)\/(-4600)*23. Determine c(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -146 + 168. Suppose 320 = d*j - 230. Let v = 8 + 2. What is the greatest common factor of j and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 320 - t + 215*t**4 - 258*t**2 + 240*t**2 + 26*t**2 wrt t.\nAnswer: 2580*t**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 15657\/2? (a) 3\/5 (b) 0.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2072 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -196334, 3 in descending order.\nAnswer: 3, 2, -196334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -3.389598 to 3 decimal places.\nAnswer: -3.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 10*u**2 - 20*u + 4. Suppose 5*g - g - 76 = 0. Let q(a) = -8*a**2 + g*a + 0*a**2 - 4 - 2*a**2. Let n(b) = 4*q(b) + 6*y(b). Factor n(d).\nAnswer: 4*(d - 2)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of 0*t**2 + 1\/12*t**3 - 1\/24*t**4 - t + 0. Let f(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87147\/54 + 8\/48?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 258551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5745 - -21572. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w + 32 + 96. Let h = 34 - w. Solve 3\/2*g**3 + 0*g**h + 0*g + 3\/2*g**4 + 0 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3655 and 645?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -4 + (-35 - -29) - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of 289*m**5\/5 + 217*m**4\/4 - m**3\/6 - 1838*m - 2. What is the third derivative of v(f) wrt f?\nAnswer: 6936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**3 + 8*j**2 - 22*j - 3. Calculate d(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 9253435\/84 - 110158. What is the common denominator of u and (2\/4 - 2)\/(120\/316)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 2*g**2 + 3*g - 15. What are the prime factors of d(-6)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2118*u + 39*u**3 - 2118*u + (-4*u**2 + u**2 + u**2)*(-43 + 43 + 20*u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6159 + 6164. Solve -u*g + 5*z + 40 = 0, -12*g + 14 = -11*g - 3*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.2 + -10.5. Let v = -5.7 - y. Let n be 25\/(-2)*(-12)\/180. What is the fourth smallest value in -3, n, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 21146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**3 - 487340*g**2 - 5361112*g - 13646752.\nAnswer: 4*(g - 121846)*(g + 4)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 190311 and 77964.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 589162403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -4*s + 2 + 2 + s**2 + s. Let h(a) = a**2 - 8*a - 30. Let n be h(11). Give o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*h**3 - 5*h**3 - h**4 + (h**4 - 7*h**3 + 7*h**3)*(2 - 3 - 1).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2674469, 4, 1 in decreasing order.\nAnswer: 4, 1, -2674469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -17*f + 1. What is x(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/330 and 57\/14?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 12*g - 20. Let w be q(7). Let b = 66 - w. Find the third derivative of 67 - 15*c**4 - 30 + 21*c**b - 37 + c wrt c.\nAnswer: -360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/29, -0.39, 4.\nAnswer: -0.39, 1\/29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 1 - 3. Suppose -5 + j = 4*l. Let a be (1\/(-2))\/(l\/46). What is a rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -327.24 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) 38 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*b + 3, 0 = -2*g - 2*b + 54. Suppose -2*y = -12 - g. Let n = -11 + y. Solve 5*j - n = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.02 and -0.0985519283.\nAnswer: -0.1185519283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(153) + 5))**2*5 + -3.\nAnswer: 5400*sqrt(17) + 32037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iwf when three letters picked without replacement from fsswwwiswmw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**4 - c**2 + c. Let w(a) = -8*a**5 - 8*a**4 - 2*a**3 - 2*a**2 + 2*a. Let u(l) = 2*g(l) - w(l). Factor u(x).\nAnswer: 2*x**3*(x + 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 4\/63045819 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -367968776*g**2 + 1019700925*g wrt g?\nAnswer: -735937552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.03654 * -181\nAnswer: 6.61374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(27)\/(sqrt(900)*-2) + -1.\nAnswer: -1 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 858 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 15 = 3*z, 2*r - 6 = 4*r. Let n = z + 32. Let a(k) = -2*k**2 + 15*k + 13. Let x be a(8). Solve n = -4*i + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 6 = -3*h, -6*g = -2*h - g - 16. Let v be (20\/(-15))\/(h\/(-6)). Suppose -i + v*i = 66. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyyg when four letters picked without replacement from ggypyyygypyypyyg?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -5*w**2 + 3*w + 1. Suppose 2*z = 4 - 2. Let t(s) = s**2 - s - 1. Let v(g) = z*p(g) + 4*t(g). Give v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 456 + -456. List the prime factors of i - (-724 + 4 - -5).\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 5*u - 15 = 0, -2*f + 5*f - 9 = -3*u. Suppose f = -0*x - x + 15. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 376\/16 - (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 3 + -36 - (-10 + 17 + -17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5813.\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 13) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1333202 (base 4) to base 14.\nAnswer: 2d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 215056.044 to the nearest one hundred.\nAnswer: 215100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003278 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 592 + 5 + (5 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -16411, 3 in increasing order.\nAnswer: -16411, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2660240 and 440.\nAnswer: 2660240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -117\/702680 and 19\/6140.\nAnswer: 215722760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ucqqucqqup. What is prob of picking 1 p, 1 u, and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 33*q**3 + 35*q**3 + 36*q**3 - 27*q**3 - 5 - 27*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**2 - 8*i + 22. Let v be y(-10). Let o(w) = 2*w - v*w - 3 - w + 6. Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6491 take away 80966120?\nAnswer: -80972611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 + 4)*((0 - 1 + 5)*(-s - 3 + 3) - 187*s - 108*s - 857*s).\nAnswer: -2312*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f - 9. Let m be q(6). Let g be 0 + (3 - 5) - 1. Let s be g\/(1 + -3 + m). Which is the nearest to -1\/4? (a) s (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*d = 9*d + 56. Let k = -11 + 17. What is h in 12*h**3 + 2*h**2 + 2*h**3 - 2*h**2 - k*h**d - 8*h = 0?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**3 + 9*j**2 + 5*j + 13. Let b be 1 + (7 - 0 - -1). Is s(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -7*r. Let o = 9 - 7. Let d(j) = 2*j - 5*j + o*j. Calculate a(d(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-29 + 29 + 27*z)*(-4 - 2 + 5) - z + 6*z + 6*z)*(-3 + 6*z + 3).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1110111 (base 2) in base 11?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 9*f**3 + 5*f**2 - 45*f - 21. Is n(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 + (0 + -1 - 0). Let v be j\/3 + 2 - 6. Let k = -62 - -66. Put k, v, 3 in decreasing order.\nAnswer: k, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 743718, 743715, 743712, 743709, 743706?\n\"Answer: -3*t + 743721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8353 is divided by 2739?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2429 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4704 + -7953. Let s = 22703\/7 + b. Find the common denominator of s and -23\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((-1 + sqrt(5))*-5 + sqrt(80)*-2)*-4 + ((sqrt(20)\/sqrt(2) - sqrt(10))*-3)\/(-2*sqrt(32)))*5)**2.\nAnswer: -52000*sqrt(5) + 348000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1990 and 18?\nAnswer: 17910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 290 and 398.\nAnswer: 57710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 2 = -4*k - 17, 7 = -b - 2*k. Suppose -3*f = -2*p + 5, 2*f = p - 2 + b. Suppose 28 = 5*m + o, -4*m - 2*o + 13 = -p. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*a + 624 = -8*a. Suppose a - 386 = -5*h. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69 = 5*i - 99. Differentiate -10*j + i*j - 241 + j - 5*j - 13*j with respect to j.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**2 - 23*u - 41. Let h be a(24). Are h and -17 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 482 - 480. Let -1\/3*c - 2\/3*c**y - 1\/3*c**3 + 0 = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by -104843.\nAnswer: -8\/104843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor b**2\/3 + 95873*b\/3 - 383540.\nAnswer: (b - 12)*(b + 95885)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 370134681 and 8?\nAnswer: 2961077448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -194*k - 72*k - 265 = 2661 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -158*p - 133*p + 2350 + 3761 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 29 = 5*v. Let q be (5 + 51\/6)\/(14\/v). Which is greater: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*r = -14*r - 65. Suppose -5*z = -w - 23, 2*z - 4*z = w - r. Solve -3*m - 21 = z*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**0)**(-44)\/(((g*g*g*g*g**(2\/9))\/g)\/(g\/(g*g*g**(2\/9)*g))))\/(g**(-2)*g*g**(-2\/3)*g*(g**1)**(3\/16)) assuming g is positive.\nAnswer: g**(-715\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1273*f**3*w - f**3 - 10*f**2 + 26*f - 920*w + 327 wrt w?\nAnswer: -1273*f**3 - 920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*r = 3*q - 91*r - 18, -5*q + 17 = -4*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 83*h - 86*h. Suppose 10 = -h*z, 52 = -7*m + 3*m - 2*z. Let f(w) = -2*w + 39. What is the units digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -3828, -7676, -11528, -15384, -19244?\n\"Answer: -2*o**2 - 3842*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, i: 1, d: 1, m: 1, j: 2}. What is prob of picking 1 m and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**(-2\/5)*d*d*d)**(-36)*(d**(-2\/13))**(1\/4) assuming d is positive.\nAnswer: d**(-21533\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**3 - a + 1901. Suppose h = -5*h - 2*h. Is s(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (126 - 134) + (3 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6133116.\nAnswer: 2, 3, 11, 97, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -7*k**3 - 118*k**2 - 432*k - 320. What is o(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 4) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 6430.665 litres?\nAnswer: 6430665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 81*q**4\/4 - 67479*q**3\/4 - 31521*q**2\/2 + 102591*q - 7506 = 0.\nAnswer: -3, 2\/27, 2, 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -25 by -20152632.\nAnswer: 25\/20152632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-1)\/(d\/((d**9*d)\/d)*d))\/(d\/(d**(-1)*d)*d*(d**(1\/2)\/d)\/d) assuming d is positive.\nAnswer: d**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 15*q - 9. Let i be w(3). What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 331*x. Let s(b) = 118*b. Let u(o) = -78*o. Let j(m) = 2*s(m) + 3*u(m). Give j(t(g)).\nAnswer: 662*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000043442 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22971 = 2*w + 5*c - 110335, 4*w - 266576 = -c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1496336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -2*s**2 - 7*s + 6. Let b(y) = 6*y**2 + 21*y - 17. Give -6*b(j) - 17*z(j).\nAnswer: -2*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -185 times 137\nAnswer: -25345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is j in -5*j**3 - 1050*j**2 - 2080*j = 0?\nAnswer: -208, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - ((3 + -8 - (10 + 0)) + (25 - 13)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 + 17*p**2 + 82*p + 60. Calculate l(21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-14)*z)**(-15) assuming z is positive.\nAnswer: z**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**2 - 8*r + 91. Give u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 26454 + 0?\nAnswer: 26454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*l - 17*l + 32. Let r be (-2)\/((-12)\/(-135)*(-20)\/l). Solve 3*i = -6 - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -12*a**4 + 2*a**3 - 17*a**2 - 2. Let p(b) = 23*b**4 - 5*b**3 + 33*b**2 + 5. Let s(c) = 2*p(c) + 5*z(c). Find the third derivative of s(v) wrt v.\nAnswer: -336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 39 - (5 + 36\/(-3)). Let q = -11634 - -174448\/15. Calculate the common denominator of q and w\/48 - 65\/(-52).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -264295 divided by 36.\nAnswer: -264295\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 81982289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 72*q**2 + 24*q - 173. Let x be n(7). Let p = -2272 + x. List the prime factors of p.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 134056 and 6513.\nAnswer: 67162056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2962168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-28)\/(-5) + (-4)\/(-10). Let z = j - 7. Suppose 4*s - 5 = 4*q + 35, 5*s - 20 = -5*q. Is s at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -74002, -295998, -665990, -1183978?\n\"Answer: -73998*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve i**4 + 690715*i**3 - 2762871*i**2 + 3453593*i - 1381438 = 0 for i.\nAnswer: -690719, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Calculate ((-76)\/(-266))\/((-2)\/58) - -7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (105\/20)\/((-2)\/8). Let w be 7\/t - (-2)\/6. Suppose 6*k - k = w. Solve k = 4*h - 9*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -22808, -22810, -22812, -22814, -22816, -22818?\n\"Answer: -2*i - 22806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1297 times -309063?\nAnswer: -400854711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**3 + c**2 - 2*c + 2. Let x be t(0). Let l(n) be the first derivative of n**4\/4 - 2*n**3\/3 - 3*n**2\/2 + n - 2. Determine l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-65)\/(-26)*(-24)\/(-110). What is the third smallest value in -2\/9, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - n + 12. Suppose -n*s - 15 = -11*s. What is the derivative of -29*h**s - 29 + 15 - 12 + 67 wrt h?\nAnswer: -87*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.151 + 1.869. Let p = -0.02 + y. What is the nearest to -2\/5 in p, 5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-11*m + 1 + 78*m - 41*m)*(-1 + 1 - m) in the form j*m**2 + h*m + r and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 2 - 3*h**3 + 0*h**3 + 7*h**2 + 2*h**3 - 5*h - 10. Determine i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(132)*1)\/sqrt(3))\/(sqrt(28)\/sqrt(7)*5) + (-3 + sqrt(275) - ((sqrt(11)*-1 - sqrt(11)) + 2)) + -3.\nAnswer: -8 + 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 484 + -466. Suppose 28*j = 22*j + c. Let g(m) = -m**3 - 6*m**2 + 7*m + 4. Let q be g(-7). Solve i = j*a + 9, -3*i = -a - q*a - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, -5, 0.11, -0.32 in descending order.\nAnswer: 0.11, -0.32, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that h**5 - 73*h**4 - 1271*h**3 - 4327*h**2 + 1270*h + 4400 = 0.\nAnswer: -10, -5, -1, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 11 - (-11 - -11 - 27032) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-14) + (-135)\/7. Let u = 21 + m. Suppose -u*x = -7*x - 1400000. What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from snssnqnnnqnsq. Give prob of picking 2 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 837 and 110342061.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -12*l**2 - 117*l. Let g(i) = -i**2 - 9*i. Give 27*g(o) - 2*s(o).\nAnswer: -3*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -627 times 0.2?\nAnswer: -125.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 126 + -112. Solve 0 = -2*j - 5*a + 2, a = -2*j - 2*j - d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of -528*n**6 + 2*n**3\/3 - 1451*n**2\/2 - 71. What is the third derivative of d(i) wrt i?\nAnswer: -190080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1189, -1875, -2563, -3253?\n\"Answer: -l**2 - 683*l - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 3*h + 13. Let n(o) = -4*o - 25. Let v(d) = 11*b(d) + 6*n(d). Let z(y) = -8*y + 6. Determine 5*v(a) + 6*z(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = -5*a + 23, -5*k + 0*a = 3*a - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*u = 5*u - 76 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 514 (base 8) in base 7?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.73*-25\nAnswer: -18.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192 divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 10 + 40\/(-1) + (-339226)\/(-11300).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 17110151473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -8*y**3 - 5*y**2. Let s(v) be the first derivative of -v**4\/4 - v**3\/3 - 11. Let b = -37 + 38. What is b*u(o) - 5*s(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1118540.\nAnswer: 2, 5, 55927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -46\/33687 and 19\/2646.\nAnswer: 9903978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 816.03731 rounded to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 - 42 - (-5 + (9 - 0)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 + 16. Let h = a + 13. Solve -c + 3 = -5*b - 20, -h*c + 29 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/(-28))\/(7952\/1568*-4)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (72\/54 - 3)\/((-5)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1932 is divided by 641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 939 - 515. Suppose 2*v - q = -2*v. Let i = -63 + v. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/266*(-3)\/9*3.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 + 7*u. Let o(c) = c**2 + 4*c - 5. Let w be o(-5). Let z be 0 - ((w - 5) + 0). Is r(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/10 + 513\/(-135). Which is the third biggest value? (a) -2\/113 (b) t (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1\/162894 - -2823499\/488682. What is m in 4\/9*m**2 - f*m + 0 = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the third derivative of w**5\/60 - 5*w**4\/6 - 19*w**3\/3 - 16*w**2. Let m be j(22). Suppose -6*c - m = -24. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16609 less than -16607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*c - 6*c + 7*w = -41, 0 = -3*c + 2*w + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122607 is divided by 2118.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 170 or 162?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 407069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2826778.\nAnswer: 2, 79, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 169.3 + -23.3. Let x = -148 + u. Sort x, 0.3, 4, -3\/23 in decreasing order.\nAnswer: 4, 0.3, -3\/23, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 102, 206, 294, 366, 422, 462, 486?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 34.2 and 0.1.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -926501 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.4? (a) -209 (b) -1 (c) 0.3 (d) 93\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 3. Let z = -0.05 - 3.95. Let w = k - z. Which is the closest to 1? (a) 5 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -199\/11340 and -155\/3132.\nAnswer: 328860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 66040 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/129 and 67\/586602?\nAnswer: 25223886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 16*g - 1. Is p(5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 32 - -2355?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -7.1.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence phd when three letters picked without replacement from {p: 2, y: 5, h: 2, d: 2, x: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -3*m - 7. Let j be z(-6). Suppose 3*y = -j + 5. Is 9 a factor of (y + (-165)\/10)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 4*v = -624, 4*v = -0*d - 2*d - 336. Let q be ((-58)\/4)\/(2\/d). What is q rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the second derivative of 1070*z**6\/3 - 4*z**3\/3 - 3*z**2\/2 + 99*z - 28. Find the second derivative of i(m) wrt m.\nAnswer: 128400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 419.2656 litres?\nAnswer: 419265.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 9 + 9 + 9013*r - 9008*r - 1.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 1702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 356 - 18206?\nAnswer: -17850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1123384.\nAnswer: 2, 140423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*g + 153*g - 144 = 188*g. Factor 0 + 8\/23*c + 16\/23*c**2 + 2\/23*c**4 + 10\/23*c**g.\nAnswer: 2*c*(c + 1)*(c + 2)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 81163210 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/5780 and 37\/1156?\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8 - -933?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -49521, -54729, -59939, -65151, -70365, -75581, -80799?\nAnswer: -86019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -149790 rounded to the nearest 1000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 5*n = -5, 5*a - 13 - 22 = 5*n. Solve -a = 3*q + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/5 (c) 1794 (d) 5 (e) 196\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -322.6749 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g - 2*g + u - 18, -u = 3*g + 6. Let d(v) = v**2 + v - 2. Let c = 8 - 8. Let p be d(c). What is the nearest to 0 in p, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4349493.31 to the nearest one thousand.\nAnswer: -4349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 810276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/12*9\/2. Let b(c) = 12*c**2 - c + 4. Is b(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 202533 = -3*j, -958*j + 953*j + 337563 = 4*u. What are the prime factors of j?\nAnswer: 3, 5, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 144 and 749680.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1282 + -1283.307. Let h = 9.393 + t. Let s = h - 8. What is s rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18347\/2 - 9147. Find the common denominator of x and 14\/(-13) - (-1 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 954289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -25158*u - 150962. Give z(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -115 (b) 0.06 (c) 3\/4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1954686 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v - 6. Give x(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r**2 + 0*r**2 + 525*r**3 + 164*r**3.\nAnswer: 689*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pplxlpxpz. What is prob of sequence ppp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -19562*s + 20578 wrt s?\nAnswer: -19562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2017034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -276 and -0.0441.\nAnswer: 12.1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3388 - 37274\/11. Which is the closest to -0.1? (a) -4 (b) 0.4 (c) 2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (1 - -207) + -4 - 1 is divided by (-36)\/(-27)*36 + (-3)\/(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 9:57 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -238 + 1374d9?\nAnswer: 1372a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c - 3*c - 15 = 0. Let o(j) = -j**3 + 6*j**2 - 3*j - 5. Let u be o(c). Suppose -u*g + 5 = 0, 0*h - 5*g + 16 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 divided by 23531500.\nAnswer: -11\/23531500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from haccccatllcctlt. Give prob of sequence lhlc.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*(c\/c**(5\/6))\/c*c*c*c**(-14))**(2\/61) assuming c is positive.\nAnswer: c**(-71\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 516 and 576?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 13*k**3 - k**2 - 255*k + 254. Let z be w(1). Solve 11 = 3*d + r, 0 = 7*d - z*d + r + 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(39) - sqrt(78)\/sqrt(2))\/sqrt(3) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2971387*v - 2971387*v + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-9))\/((-28)\/7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -1.04738 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**3 + k**2 - 6*k - 8. Let w(q) = q**3 - 7*q - 9. What is 7*t(b) - 6*w(b)?\nAnswer: b**3 + 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*p + 5 = -5*m + 76*p, 5*m + 2*p + 33 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 + 4*h**2 + 9*h - 30. Calculate p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 480\/7*u**3 - 54\/7*u**4 - 16\/7*u**2 - 486\/7*u**5 - 32\/3*u - 32\/21 = 0.\nAnswer: -1, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19342201, 19342199, 19342197, 19342195?\nAnswer: 19342193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*z + 11*z**3 - 71 - z**5 - 81 + 119 wrt z.\nAnswer: -20*z**3 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2035275 to the power of 1\/2, to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5.4 - -6. Let y = 48.4 + l. Let a = 48.99977 - y. Round a to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {h: 3, q: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 14*t**2 - 5*t + 5. Let a(u) = 15*u**2 - 4*u + 6. Give -5*a(w) + 4*q(w).\nAnswer: -19*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172146 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -447 + 20*t - 449 + 902 - 133*t - 176*t. Let h(i) = i. Give h(u(a)).\nAnswer: -289*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + (2 - -3) + -2. Suppose -5*s + 15 = -r*s. Suppose -s*h + 42 - 6 = 0. Calculate the remainder when 23 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -2*r + 17. Let d be (-9)\/(-2)*18\/27. Suppose -2*z = b + 3*b, -d*z + 3*b = -9. Calculate the highest common divisor of r and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/(6*2\/16). Suppose c - 185 = -m*c. Calculate the remainder when c is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 210006 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 836*h - 550*h**3 + 848*h - 1684*h.\nAnswer: -550*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.3 - 0.3. Let q = h + -0.1. Let k(x) = -x**2 - 2*x + 4. Let t be k(-4). Which is the third smallest value? (a) q (b) t (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 296*y - 292*y + 6, 3*y + 12 = 0. Which is the closest to 0.1? (a) i (b) 4 (c) -5\/2 (d) -3585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 62648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9291 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 3 + 1)*(-144*w - 98*w - 19*w) as q*w + m and give q.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a**3 - 237*a**2 - 2591*a - 19. What is h(-10)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 62 - 62.3. What is the closest to -1 in -1\/2, -2, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5*-86\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*n + 10*n + 4*n + 7*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 25 = 5. Suppose 13*y - 47 = z. Solve -2 = 4*b - l, 7*b - 3*l = y*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - 19*q - 4. Let p(y) = 2*y**2 - 2*y - 2. Let g(a) = -17*a - 64. Let w be g(-4). What is the remainder when n(-10) is divided by p(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110*p = 30*p + 1556 + 4444. What is the greatest common factor of p and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 7 (b) 131 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t**6*t*t)\/t)\/t)\/t**11)**(-40)*((t\/t**(-4))\/t**(-4))\/(t**(1\/4))**(-23) assuming t is positive.\nAnswer: t**(859\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 32\/200*(150\/(-36) + 5)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 25541367 (base 8) to base 5\nAnswer: 2423423012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22 + -1. Let x = 35 + o. Solve 2*t = 5*t + x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.373*-180.\nAnswer: 427.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -68 + 171. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -4690 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35\/70*(-5)\/((-10)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*t + 6*p = 333 + 57, 2*t + 2*p = 34 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/1080)\/(-1)*36?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 50 - 15\/(6\/2). Calculate the greatest common factor of 30 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 3772 (base 10) to base 12\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -35 - -39. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -43, -1, 1129, -4, 5, 2 in ascending order.\nAnswer: -43, -4, -1, 2, 5, 1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 + (-5 - (-1 - 0)) + (0 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**2 + 20*s. Let i be v(-20). Let b(u) = -2*u + 5. Let a be b(i). Solve 0 = a*k - 23 - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 396*k**3*o + k**3*p + 77*k**3 - 34*k*o*p - 32 wrt o?\nAnswer: 396*k**3 - 34*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 31666492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2 - 6*v - 2. Let t be d(7). Which is the nearest to 1? (a) -1 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 749780 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*m + 3976 = 28*m. Does 50 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33 - -43. Suppose 113*p - 115*p + q = 0. Solve -s + 0*r + p*r = -5, 2*r + 29 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000067261999 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -140*f - 6. Let l(k) = -28*k - 1. Give -16*l(t) + 3*s(t).\nAnswer: 28*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1d + -7f056?\nAnswer: -7f039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, -223, -27, 4, -3.\nAnswer: -223, -27, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - p. Let n(a) be the first derivative of -3*a**4\/4 - a**3\/3 + a**2 + 68. Calculate -4*i(r) - n(r).\nAnswer: -r**3 + r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/2584 and -81\/109820.\nAnswer: 219640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 - -54. Let x = -47 + 313. What is the greatest common divisor of x and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(250)*-6 - sqrt(10))\/(2*sqrt(8)) + (sqrt(50)\/(sqrt(70)\/(sqrt(7) + sqrt(252)))*-2)**2.\nAnswer: -31*sqrt(5)\/4 + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 - 8*h**2 + 22*h + 22. Calculate y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -350.1 + 326. Let i = t - -24. Suppose 1 = -2*r - 5*o + 21, 2*o - 4 = 0. What is the closest to i in 4\/7, r, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 5*l = -17, 10*l - 37 = -3*o + 15*l. Let c(x) be the second derivative of 7*x**4\/12 - x**3\/6 + 15*x**2\/2 - x. List the prime factors of c(o).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 3\/2, -0.06, 0.06, -9\/10, 0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (721\/(-21))\/(-2 - (-10)\/6). Let j = o + -86. What is the remainder when j is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -4905\nAnswer: 2\/4905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Do 63890 and 63884 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + (4 - 1) - (-54 + 64).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*(2 + (-3)\/(-1)). Suppose d - 78 = -4*d + 3*i, 110 = 5*d + m*i. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + q + 3*q + 16 = 0, 12 = -2*w - 3*q. Suppose o - 41 - 18 = w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 193*(-1 + 9 + -1). Suppose -4*l - k = -5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 3*y**2 - 3*y - 15. Let b be 28\/42 - 7\/(-3). Let t be o(b). Put t, -1\/8, 0.3 in increasing order.\nAnswer: -1\/8, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31244*y = 4*d - 31242*y - 14, -3*y + 26 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -3*a. Let l(g) be the first derivative of -3*g**2\/2 + 9*g + 17. Let t(x) = -4*x + 20. Let v(h) = 5*l(h) - 2*t(h). Calculate u(v(m)).\nAnswer: 21*m - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by 7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -2*f**3 + 2*f - 2. Give j(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 14142.51mm to meters.\nAnswer: 14.14251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3.7 (b) -1\/4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 8*r = -18. Let f be (1\/2)\/(1\/(-10)). Let c = f + r. Solve -n + c*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 - 16*u - 59. Let c be j(-18). Let v be (c\/38)\/((-3)\/2 - -1). Solve v*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 4*k**2 + 4. Let x(n) = 3*n**2 - n + 5. Calculate 3*x(y) - 4*z(y).\nAnswer: -7*y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 78.55654193 to the nearest integer.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are 3230 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -685 = -9*t + 1142. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -108*p**3 - 288*p**2 + 105*p - 9.\nAnswer: -3*(p + 3)*(6*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6655 + -4717. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 2*k = 5, 3 = 2*i + 3*k - 2. Let h = -898 - -8068\/9. Let t = h + 11\/9. What is the closest to i in 4, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (254\/16)\/((-9)\/6) and -97\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 53745, 53746, 53747?\n\"Answer: f + 53744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -294*f = -47*f + 29*f + 1932 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*t - 3 + 3)*(t**3 - 3*t**3 + 5*t**3 + (1 + 2 - 4)*(-11*t**3 - 40*t + 40*t)) to x + d*t + n*t**3 + k*t**2 + j*t**4 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30 - -34) + 28\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-32)\/308)\/(-4))\/(233\/(-2563)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.01 in 1\/7, 18\/11, 0.4, -0.4, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -4\/3079 and 606 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -107 - (-9 + (0 - -1) + 760 + -765)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, 18, 5, -146, -2, 3 in descending order.\nAnswer: 18, 5, 4, 3, 1, -2, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2\/2792955 and 7\/55.\nAnswer: 2792955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/(-2)*-2 - (-3)\/(-1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 2\/11, 6, 2.8265?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 164\/819 + 2\/91. Which is the closest to 2\/5? (a) 15 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -4, 1\/20910, -2?\nAnswer: 1\/20910","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -a07 (base 12) to base 15\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 3288 (base 10) to base 6.\nAnswer: 23120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -5*j + 245, -3*j + 50 + 68 = -4*i. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 269 + 127*d - 288 - 120*d. Let k(g) = 6*g - 18. Determine -4*j(i) + 5*k(i).\nAnswer: 2*i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 326*u = 715*u + 1034*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 282*z + 4692 = 7512 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 4*m**2 + 4 + 3 - 4*m**2.\nAnswer: -8*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 2686*u - 3298. What are the prime factors of z(5)?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1271)\/(-123) - (-1)\/(-3))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -7, 1\/4, -1\/3, -4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vxvx when four letters picked without replacement from xlvvx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-30456))\/((-281)\/7587)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 1 = 4*v + 2, -l = 1. Let y(p) be the first derivative of v*p**2 - 3 - 5\/3*p**3 + p. Differentiate y(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5.8981182 to two decimal places.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1651235*s**2 - 22*s - 35420 wrt s.\nAnswer: 3302470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*z - 37*z = 4*p - 28, p - 7 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1823126, 3646273, 5469420?\n\"Answer: 1823147*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*(4 + -4)\/(-1). Suppose 3*t - 2 = -o*r + 2*r, -5*r - 10 = -5*t. Which is the biggest value? (a) r (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -105828 (base 11) to base 14.\nAnswer: -456a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1756356, 1756467, 1756578, 1756689, 1756800, 1756911?\n\"Answer: 111*i + 1756245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 79719349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.16 - 0.66. What is the closest to 3 in 3, u, -1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8424 divided by 216.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29296.2 + 29156. Is -0.7 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.44 - 2.45. Round s to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.79 + -0.7. Let l = -0.91 - b. What is the closest to l in -0.3, 17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1704507 is divided by 426106?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -5*y**3 - y**2 + 1. Let q be f(1). Let i be ((-2)\/(-10)*-2)\/(-2). Which is the second biggest value? (a) q (b) i (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/23? (a) -4 (b) 117 (c) -1658 (d) 1\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -906 - -1083. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12900593 is divided by 360.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rkrhkfqqhukruhkhqrhq. Give prob of sequence rkkk.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/41? (a) -7 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {q: 1, u: 2, h: 5, s: 5, p: 6, t: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1911645.4 rounded to the nearest ten thousand?\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 130830 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/12)\/((-12)\/(-27)*3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + (2 - (3 - 5 - 9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 49\/80 and -67\/72?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 2*m - 34. Let v(p) = 7*p. Calculate q(v(o)).\nAnswer: 14*o - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1893b9 + -8?\nAnswer: 1893b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 PM and 11:50 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20 - (2 + -8 + (-65 - -66)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*j - 4438 = -4*j. Suppose 377 = 5*x + j. What is the greatest common divisor of x and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1189496*l**3 + 12*l - 44575?\nAnswer: -7136976*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 + 5. Suppose b + t*b = 20. Suppose 0 = b*q - 5*l - 35, 2 + 1 = -l. Solve 6 - 14 = -q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1798, 3649, 5512, 7393, 9298?\n\"Answer: y**3 + 1844*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17690 is divided by 1000?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 54 + -50. Suppose -4*m + 46 = -2*w, h*m - 21 = -5*w + 2*w. Suppose -3*t - 3*y = m, 3*t + 5*y + 12 = -t. Which is smaller: -1.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 3, c: 5}. What is prob of picking 2 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 3 - 51 = 0. Let v be (y\/4)\/((-3)\/12). What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1, 7, 17, 29, 43?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-18)\/(-63) + (-23)\/7. Suppose 12 = -3*n - 3*q, -2*n + 3*n - 2*q - 2 = 0. Is b\/((-12)\/(-38))*n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 5869 = -58*g + 55*g, -3*g + m = -5872. What are the prime factors of g?\nAnswer: 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:22 PM and 7:09 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 43.4056 rounded to 0 dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 1 + (-3 - 2 + 3)*(3 + 3 - 5))*(4*q**5 + 2*q**5 - q - 5*q**5).\nAnswer: -5*q**5 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of d**5\/5 - 44*d**4 + 2072*d**3 + 175232*d**2 - 2546*d + 3. Factor n(y).\nAnswer: 4*(y - 74)**2*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o - 2. Let y = -2 + 7. Let s(w) = -w**3 + 6*w**2 - 3*w - 4. Let g be s(y). Calculate r(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*j - 4*j + 0*j)*(-4*j + 0*j + 2*j)*(-3*j + 33 + 7*j**2 - 44 + 8).\nAnswer: -14*j**4 + 6*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-274)\/30 + 72\/540?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2\/9 + 3584*p\/9 + 1605632\/9.\nAnswer: 2*(p + 896)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -1*sqrt(500) + sqrt(500) - sqrt(500) - (sqrt(500) + -5 + 1*sqrt(500)))**2.\nAnswer: -240*sqrt(5) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 326\nAnswer: 1\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = -2*d + 7 - 14, -d = 2*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -58 - -2 - (-33 + 36 - -4)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42 and 51672.\nAnswer: 361704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**3 - 7*o**2 + 6*o - 3. Let x be c(6). Let m be x*4\/3 - -6. Suppose -3390000 = k + m*k. Round k to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-9 - -9) + 0 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.03 + 0.03. Let k(t) = -39*t**3 - t**2 - 2*t - 2. Let n be k(-1). Let d be (2 - -2) + n\/(-8). Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u - 15*u = -63. Suppose -4 = -u*p - 4. Let s(g) = -g**3 - g**2 + g - 12. Give s(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 10763140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 3310 (base 4) to base 2.\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -559 - -649. Calculate the greatest common divisor of b and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 11:05 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -634963 or -0.577?\nAnswer: -0.577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 2*p**3\/7 - 19904*p**2\/7 + 47723136*p\/7 + 9026721792\/7 = 0.\nAnswer: -176, 5064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 + 5*w**2 + 20*w - 19. Let g be x(7). Which is greater: g or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 477242768 and -2?\nAnswer: 477242770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + 5 - (-8 - -4 - (37 + -40)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 126853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -12*a*i*n**2*p**2 + 25*a*n*p**2 + 15*i*n*p**2 - 3*n**2*p**2 + 4*n**2*p - 2*n*p wrt i?\nAnswer: -12*a*n**2*p**2 + 15*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 46157154 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 13 + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -998*r + 1000*r - 2*q = 38, 21*r = 5*q + 175 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 536806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.011594 to 4 decimal places.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 40502279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 14020 (base 5) to base 8.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6 (b) 0 (c) 1 (d) -2\/11 (e) 118\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5 - 2. Let p be o + -6 - (-4 + -1). Suppose p*s = 3*u - 18, 2*u = s + s + 10. Let i(t) = t**2 - 9*t + 5. Calculate i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 5*u + 211 = 0, 465521 = 8*i + 3*u + 465414 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -28 - -39. Suppose 0 = 17*c + 115 - 149. Calculate the remainder when q is divided by 48\/80*(c + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 865 is divided by 315?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 132965 (b) 42 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 - 4*n**2 - 13*n - 16. What is the remainder when 53 is divided by u(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -m**5\/2 - 1693*m**4\/2 - 49889*m**3\/2 + 1693*m**2\/2 + 24945*m = 0. What is m?\nAnswer: -1663, -30, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2876746779?\nAnswer: 3, 106546177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -181d + -13b9?\nAnswer: -2bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19609*d**2 + 13*d + 826 wrt d.\nAnswer: 39218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 8*n - 9. Let i(l) = -15*l + 15. Let f(m) = 3*i(m) + 5*s(m). Let w(a) = 4*a. Calculate 4*f(b) + 6*w(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1410539981 to the power of 1\/3, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i**2\/5 - 248*i - 19220 = 0 for i.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 649 minutes after 1:38 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 8 = d. Suppose -3*q - d + 13 = 0. Let c(i) = 4*i + 43. Let b be c(-10). Solve 2*r - b*a + 4 = 0, q*a - 9 = -r - 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 867a - -20101?\nAnswer: 28780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2258 - -2276. Put s, -5, 4 in increasing order.\nAnswer: -5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3a40aa0 (base 12) in base 11?\nAnswer: 6566274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**4 + 9*r**3 - 12*r**2 - 36*r.\nAnswer: 3*r*(r - 2)*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + 0)*5*4.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 14 = 5*u, -2*n - n = 3*u - 12. Let a = -507 + 507. Solve -j = -a - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/9 - 1 - (-28)\/(-56).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**2 - 8*u - 29. What is w(16)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -8 - (-3 + (-1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1256 + -11?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88414012 = 4*w - 3*p, -141*w + 143*w + p - 44206996 = 0. Round w to the nearest one hundred thousand.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 4. Let y = c + 5. What is the smallest common multiple of y and (-2)\/(-3)*(-3 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (24\/10)\/(84\/(-2800)*110)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 6\/11, 0.06, -0.04, -1438, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -662*k - 92*k + 3247 + 9803 = -29*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/520676442 and -53\/198?\nAnswer: 520676442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 695 is divided by 176.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 0*b**4 - 2*b**4 + 6*b**2 - 6*b**2 + 16*b - 3*b**2 - 2*b**3 + b**2 as i*b**3 + k*b**2 + g*b + u*b**4 + d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000244256 to seven dps.\nAnswer: -0.0002443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/3794 and 19\/244984?\nAnswer: 1714888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 33040\/63720*18\/(-14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 2*n - 9. Let h(o) = -18*o + 32. Let y(w) = -16*w + 31. Let p(z) = 5*h(z) - 6*y(z). Calculate 6*p(k) - 17*v(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 806*i - 70*i + 581*i - 9073*i**2 + 9071*i**2 in the form m + t*i**2 + s*i and give s.\nAnswer: 1317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 18138*u - 17834*u - 8512 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 61594*n**2*w**2 - 34*n*w - 2*n + 33*w**2 + 4*w wrt n?\nAnswer: 123188*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -258 - -253. Let w(g) = -2*g**3 + 2*g**2 - 4*g - 9. What are the prime factors of w(v)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*2 + (2 - (-1 - 3)). Suppose 4*r = -5*w + 33, x*r - 4*w - 22 = 2. Solve 0 = 4*p - 5*i - 17, r*p - 15 = 2*p + 5*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1250)*1)\/sqrt(10).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 - (-2)\/4*0. Suppose 144 = 2*a + w*a. Is 0 - (1 - a - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 32\/24 - 28\/22. Let g(b) be the third derivative of -5\/132*b**4 + 0 + s*b**3 + 0*b - 4*b**2 + 2\/165*b**5 - 1\/660*b**6. Factor g(y).\nAnswer: -2*(y - 2)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -149722 plus -8376122?\nAnswer: -8525844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4961276731 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - -1)\/(2*9\/126). What is the second derivative of 3 - j*a + 28*a**3 + 2*a**2 + 56*a**3 - 117*a**3 wrt a?\nAnswer: -198*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v + 1. Let t(l) = -l**2 - 8*l - 15. Let c be t(-6). Let q(s) = -20*s - 20. Let a(n) = c*q(n) - 48*g(n). What is the tens digit of a(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -1169479*j. Give n(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*n**3 + 3*n**2 - 2*n**2 - n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**3 + 9*y**2 - y - 43. Let t be k(7). Let h be ((-16)\/t)\/((-706)\/(-354) + -2). Calculate the highest common divisor of 649 and h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 18*a + 455 - 419 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 27683\/2664 + -755\/37. Let b = 4636\/9 + -520. Let m = b - k. What is the common denominator of m and 117\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4 + 0 - 3)*1. Let i = 122.92 - 3.42. Let b = -119 + i. What is the smallest value in 1\/16, b, n?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 4*f**4 + f**3 + 4*f**2 - 3. Let v(h) = -7*h**4 - h**3 - 7*h**2 + 5. Let s be ((-1)\/2)\/(2\/(-12)). Let m(d) = s*v(d) + 5*k(d). Factor m(c).\nAnswer: -c**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 15714 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add 8 and -3984.\nAnswer: -3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2. Let c(u) = 11*u**2 - 4. Let z(b) = -11*b**2 + 5 - 748*b + 748*b. Let i(s) = -5*c(s) - 4*z(s). Determine i(m(w)).\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 9 - ((-2 - -6) + 9 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s + 7*s + 93*s**2 - s + 4 - 4*s - s to the form f*s + w + r*s**2 and give r.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 5 (b) 3.7 (c) 128 (d) -31.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -26*n - 6. Let d(j) = 2*j**2 + 12741. Calculate y(d(t)).\nAnswer: -52*t**2 - 331272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, j: 3, y: 3, g: 4, d: 4}. What is prob of picking 1 j and 1 u?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/3 or -0.147?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-2 + -4*(sqrt(50) - (sqrt(250)\/sqrt(5) + sqrt(50)))))**2.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -4*k**3 - 7*k**2 + 2*k + 3. Determine v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1363, 1864, 2295, 2656, 2947, 3168, 3319?\n\"Answer: -35*b**2 + 606*b + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 47\/4982)*-4.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + p = -p + 10, 0 = -3*j - 5*p + 11. Suppose -8 = 4*z - 16. Let v = j - z. Solve v*w - 2 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4 + (-1 - (-11)\/(-2)). What is the third biggest value in 2, 0, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(-1\/7)*p)\/p)\/(p*p\/(p*p*p\/(p*p**(-13)\/p*p)*p)))\/(p**(-4))**(27\/4) assuming p is positive.\nAnswer: p**(293\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -24 + 703\/38 + (-69)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*5*((sqrt(18) + (sqrt(18) - sqrt(72)\/sqrt(4)*-6))\/sqrt(6) + (1 + sqrt(3) - sqrt(3))*4 + 3)**2.\nAnswer: 3360*sqrt(3) + 7230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/2*8*(1134\/(-84))\/(6\/2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -2*i**2. Let d(f) = -9*f + 17*f - 2*f - 2*f. Determine d(j(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 - 3*n)*(397 - 262 + 423)*((-3 - 1 + 2)*(-1 - 1 + 0) - 3 - 2 + 4 + 3 - 3 + 7) as q*n + d and give q.\nAnswer: -16740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n - 1. Let s(v) be the first derivative of v**3\/3 - v**2\/2 - 2*v + 1. Calculate the lowest common multiple of i(-2) and s(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 48189*d**5 + d**3 - 10475*d**2?\nAnswer: 2891340*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lpllwwwlwjljjl. What is prob of sequence jl?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.5 + 3. Let h = -19\/401 - 145067\/2005. Let v = h - -72. What is the closest to 0 in 4, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + -3 + (-26 - -19) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -28*s**2\/5 + 12384*s\/5 - 3536\/5.\nAnswer: -4*(s - 442)*(7*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llglllllggglg. What is prob of picking 2 g?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**2 - 7*f - 4. Let l be k(7). Let i(n) = -n - 2. Let p be i(l). Let b be ((-24)\/(-16))\/((-9)\/42) - -1. Put p, 3, b in ascending order.\nAnswer: b, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the third derivative of -v**6\/120 - v**5\/60 + v**4\/24 - v**3\/3 + 7*v**2. Let i be h(-2). Suppose i = 2*p - 8 + 4. Solve p*n = 2 - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qxgrxis. What is prob of picking 1 q and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 299598 is divided by 3700?\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39097 is divided by 1743.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/6 in 390.4, 3\/5, 21?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 119616.5ml?\nAnswer: 119.6165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 65089.2669 rounded to the nearest 1000?\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 4*n = -0*c - 7, -15 = -3*c - 3*n. Suppose c*z + 12 = 13*z. Let q(g) = -g + 2. What is q(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*z**2 + 18*z + 22.\nAnswer: -2*(z + 1)*(2*z - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -f - 2, -231 = -5*w + 3*f. Which is bigger: w or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 917.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 524*a + 2008 - 4040 = 13164 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -147 times -18?\nAnswer: 2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + 1. Suppose 4*v - 2*s - 2 = 2, 5*s = -v + 12. Differentiate -5 - 3*g**v + 0*g**2 + 4*g**2 + g**y with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 372 + 383 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a + 55*a = -75*a + 4092 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2062572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -76*g + 35 - 35 as c + o*g and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*s**2 + 12*s**3 + 9*s**2 + 18*s**3 + (4*s - s - s)*(-3 + 3 + s**2).\nAnswer: 32*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 40, 50, 66, 88, 116?\n\"Answer: 3*z**2 + z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2081795\/7 - 297395. What is x in -32\/7*x**3 + 50\/7 + c*x - 48\/7*x**2 = 0?\nAnswer: -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3342, -7002, -10654, -14292, -17910, -21502, -25062, -28584?\n\"Answer: t**3 - 2*t**2 - 3661*t + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + sqrt(17) + -1 - (sqrt(425) + -1)) + 0 - (3 + sqrt(153)*5)*2) + -5.\nAnswer: -34*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*f**2*l**2 + f**2*l - 12420*f**2 + 16*f*l**2 + 309*l**3 + l**2 + 2 wrt l.\nAnswer: -12*f**2 + 32*f + 1854*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -63059 (base 14) to base 6\nAnswer: -5041331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2*k = 4, 3*o + 5 = -k + 2. Suppose 0 = 3*r - 5*i + 14, 4*r + 3*i + 4 = -5. Sort -1, o, r in ascending order.\nAnswer: r, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4916741.276 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 84\/(-10)*1400\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n. Let a(r) = -1068571*r**2 - 2*r - 2. Give a(k(o)).\nAnswer: -1068571*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cccccccxacxxcaccc. Give prob of sequence acxc.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**2 + 13*d - 15. Let q be j(-15). Let f(w) = 170*w - 32. Let a be f(q). Let o = -897 + a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 7, z: 2, g: 1, v: 1, r: 1, o: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 2*m + 59 - 339 = 0, 5*l - 3*m = -732. Which is smaller: -722\/5 or l?\nAnswer: -722\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (19 - (-4675)\/(-250))*(-112)\/(-6). Factor v + 4*a**2 + 52\/5*a - 4\/5*a**3.\nAnswer: -4*(a - 7)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 191 = -4*o + s, -4*o - s = -5*s + 200. Let i = o + 85. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -51 or -858\/17?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 11717 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - q)*(-3 - 1 + 2) + (3 + 3 - 5)*(2*q + 1 - 1 + 0*q + 5*q + 10*q - q + q + q + (-1 + 3 - 3)*(-3*q + 3*q + 2*q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 43837114 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 8*a + 4. Let j be d(8). Suppose j*z + z = 420. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 4. Solve -5*f - y - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 6*r - 9. Let v be b(-3). Solve -8*h + 2*h + 12 = v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xuyuyum. Give prob of picking 1 x and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 - 2*x**2 - 191*x - 799. Calculate y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*r**2 + 2*r**2 - 3*r**2)*(-2 - 24 - 43) to b*r**2 + s*r + v and give b.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pxxppppxpp. Give prob of picking 1 x and 2 p.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.203 + 2.2026332. What is n rounded to five dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47648.\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 673152 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + n - 4. Calculate p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1*2*20\/8*(-57)\/(-95)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 6 + 2*q - 6 - 2*q + 3*q + 0*q + (3 - 3 + 1)*(-4*q - q + 3*q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, h: 2, a: 5}. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/42)\/(-5*3\/(-45))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3059?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 201\/938*(-1 - (-193)\/46) and -25\/48?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: What comes next: 255293, 255294, 255295, 255296?\nAnswer: 255297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*h - q - 20, 43*q = h + 47*q + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6798 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -290, -292, -294?\n\"Answer: -2*h - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 37 + 1 = -5*l, -d - 7 = 4*l. Calculate the least common multiple of d and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -25*o**3 + 89*o**3 + 60*o**3 + 5*o**2 - 2*o**3 - 5*o**2 - 2*o**3 + o - o + (1 + 0 + 1)*(-o**3 + 0*o + 0*o) - 4 + 4 - 2*o**3.\nAnswer: 116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.17, -1, 2.366, -20, -3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 121384 (base 10) in base 7?\nAnswer: 1013614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8000 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(216)*1)\/(sqrt(32)\/sqrt(4)*-3 - sqrt(8)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 106711 is divided by 35444.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/15 - (-48)\/20. Suppose -2*a = f*a - 32. Suppose -4*p = -8, -3*g = g - 2*p - a. Solve -4*x = -4, 5*l + 23 = -g*x + 6*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4 + 9. Let k = f + -4. Suppose -6*a + 3*a - k = 0. Is -3 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/120 and 11\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, -48662719.\nAnswer: -48662719, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -11*g + 13*g + 5*y, 0 = -3*g - 2*y - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 372744 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that z**2\/8 - 33*z\/4 + 65\/8 = 0.\nAnswer: 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 + j - 14. Let k be a(-18). Suppose b = q + 115, -q - k = -4*b + 174. What is b rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1178 + 1176.527. Let c = -1.472401 - h. What is c rounded to five decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v - 1. Let g(s) = -2*s + 20. Let q be (-3 + 2 - 9)*-1. Let r(n) = q*z(n) + g(n). Does 10 divide r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51016.\nAnswer: 2, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -82983 - -82985. Factor 14\/3*g - 2\/3*g**n + 12.\nAnswer: -2*(g - 9)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 218 - 276. Let i = -58.2 - z. Which is the closest to 0.6? (a) i (b) -4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125*w - 540 = -10*w. Solve -126 = 17*o + w*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5157 = -2*j + 3*p, -4*p + 249 = -j + 2820. Let r be (-1)\/(-2) + j\/30. Let z = 87 - r. Find the common denominator of z and -30\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3, 12, -4 in decreasing order.\nAnswer: 12, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 21 + 0 = 0. What is the remainder when a is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*t**2 + 20*t**2 - 7*t - 57*t**2 + 3*t**3 + 21*t**2 to the form x*t**3 + i*t + f + v*t**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4398929 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 4 = -4*d, j + 9*d - 4*d = -6. Is (809 - -1) + (3 - j\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -2*y + 1 - 2 - 5*y. Let l(v) = -7*v + 3*v + 10*v + 1. Determine 5*l(a) + 4*p(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3.3 - -0.7. Let h = -52.7 + 53. What is the second smallest value in 0.6, h, a?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 45614.\nAnswer: -45618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of -s**3\/2 + 72*s. Let f(t) = 2*t - 224 + 224 - 8*t. Give f(x(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 7 - 7*n**5 - 7 + (0 - 3 + 5)*(3*n**5 - 2*n**5 - 3*n**5) + (5*n - 5*n - n**2)*(n**3 + 3*n**3 + 0*n**3).\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-9)*44\/88.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 26 = 2*y. Let b = -9 + y. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/21, -130, -2\/11, 4.\nAnswer: -130, -2\/11, -1\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**2 - 14*d + 20. Determine l(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/1045100 and -53\/1750.\nAnswer: 5225500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1328871554 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (1653\/(-342))\/(3\/(-4)) and 133\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d + 41 + 23 = 0. Let c be 53 - (6\/(-3) - 1). What is the greatest common factor of d and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000 - 110000011?\nAnswer: -110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 668571640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 - 6*x. Let u be o(7). Suppose 5*g - u = 3. Solve 0 = -g*t + 2 - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w. Let b(o) = 9*o. Let r(u) = -b(u) - 12*c(u). Let z(q) = q**2. What is r(z(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (57\/(-9))\/(-11*9\/297)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of 0*l**3 + l + 1\/6*l**4 + 147 - 1\/5*l**5 - 1\/2*l**2. Give h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 67342 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 - -3. Which is the closest to 0.1? (a) 1 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.4414443 centuries?\nAnswer: 44.14443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -4*m**2 - 3*m + 40. Let j(c) = -5*c**2 - 2*c + 41. Let w(f) = -4*a(f) + 3*j(f). Is w(-11) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 5 = 5*b + 2, -4*b - 12 = -4*o. Let z be 2\/o + 0 + 23\/4. Let n be (-20)\/3*18\/(-15). Solve -3*f = h - 19, -2*f - n = -z*f + 3*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 3\/404 (b) 1 (c) 123 (d) 0 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhd. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*g - 35*g = -33. Let v(c) = -c**2 - 35 - g - 5*c + 66. What is v(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2264 - -2349. Calculate the highest common factor of 1343 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-3)\/6*((-340)\/48 - -2) and -85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1026594479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1253.9948 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-k**2 + 2*k**2 - 4*k**2)*(-6 + 4*k + 6) to the form s*k + t*k**2 + l*k**3 + n and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 41.5 - 42. Which is the nearest to 1\/3? (a) 2\/13 (b) o (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**4\/4 + v**3\/4 + 33*v**2\/4 + 63*v\/4.\nAnswer: -v*(v - 7)*(v + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2338*g - 133332 = -2167*g + 4198*g + 168129 for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4 + 13267)\/((-12)\/(-48)). Suppose -24*n + 5140 = -b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8242.2 - 5.\nAnswer: 8237.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -133*n = 196 - 1925 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5\/(-20) - 2*(-634)\/16?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes before 9:06 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(-20)*u*u*(u*u**(-1\/14))\/u*u*u)**(6\/19) assuming u is positive.\nAnswer: u**(-633\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h + 3*h**3 - h**2 - h - h**4 + 1 - 4*h**3. Let l(r) = -6*r**4 - 5*r**3 - 5*r**2 + 6. Let n(c) = 5*i(c) - l(c). Differentiate n(g) with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9*f**3 + 391*f**3 - 2896 - 3674 - 29*f**3 wrt f.\nAnswer: 1059*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from bsbsbbbbbb.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.06 - -0.46. Suppose -7*y + 25 = 18. Let n be (30\/21)\/(2\/(-1)) + y. Put n, -2, x in decreasing order.\nAnswer: x, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(12)\/((-1*sqrt(2) + sqrt(2))*-2 + sqrt(2)))\/(sqrt(10)\/(sqrt(45)*4))*-4.\nAnswer: -48*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7*((-1363)\/1827)\/47.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of -3\/8*z**4 + 1\/3*z**3 + 5*z**2 + 0*z + 0 + 1\/30*z**5. Let h be i(6). Solve u = -y + 3*u - 9, 5*u - h = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 + -13 + 10)\/((16*-1)\/4). Is j greater than or equal to 26\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, t: 2, h: 1, l: 3, r: 6}. Give prob of sequence llh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -9230 by 71.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-7)*(-1)\/((-2)\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 5}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1316345\/81 + 16250. Let a = -15253\/324 + p. Is a at most -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from luguxlxll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 119.5 + -120. Suppose i + 4*i = -5*h - 5, 4*h = -4. Which is the closest to i? (a) 2 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1001*b = 2*j + 1002*b + 11, 2*b = -4*j + 4*b + 54 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10900 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(117) - (0 + sqrt(117))) + 2 + -2 + 3 + 2*(-5 + (1*sqrt(117) - sqrt(117)) + sqrt(117) - (sqrt(117) - sqrt(117)*1)*-6))**2.\nAnswer: -420*sqrt(13) + 2585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-5))\/((-18)\/60) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/472? (a) -1.6 (b) 3 (c) 0.2 (d) 4\/9 (e) 8 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18516.347 - -18500. Let c = m + -0.653. Put c, 0.05, -0.4 in increasing order.\nAnswer: c, -0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 195, 852, 1933, 3426, 5319?\nAnswer: 7600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12481 is divided by 519?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kdh when three letters picked without replacement from {k: 6, d: 1, h: 3, j: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 12*l. Let s(v) = 2023297*v. What is i(s(z))?\nAnswer: 24279564*z","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let d(b) = b**2 + b + 4. Let z be d(7). Suppose -k = 3*s - 3*k - 78, -z = -2*s + 4*k. What is the highest common factor of s and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1892 and 1320?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2592 + 2604. Let w(r) = -r**2 + 14*r - 29. Give w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -26 - 1 - ((-272 - -289) + (-23 - 0))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 4*r**3 + 27*r**2 - 16*r - 38. Let a be s(-7). Solve -5*m + 2 - 7 = -g, -3*m - 5*g + a = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 4:18 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that o**3\/2 + 2877*o**2\/2 - 674929*o\/2 - 677805\/2 = 0.\nAnswer: -3095, -1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 34*l**2*p**4 + 11*l**2*p**2 - l**2*p - 67*l*p**2 - 145*p**4 - 2 wrt p?\nAnswer: 816*l**2*p - 3480*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2069*u + 1025*u + 1048*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -0*d + 3. Suppose 10 - 2 = v - d*p, 3*v - 16 = 5*p. Suppose -2*c - 2 = 5*j, -3*c - 1 = j + v. Solve j*r + 27 = -5*z - r, 12 = -4*z + 4*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 3*l - 3*g + 34, -l + 34 = 4*g. Suppose 2*j = -6 + l. Let y = j - 12. Solve 0 = -4*n + y*a - 14, -n - 4*a + a + 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 115852 (base 14) to base 8.\nAnswer: 2203360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-54)\/(-243))\/(78\/54).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = q - 11, -5*q = -0*q - 4*z + 41. Suppose 5*j = 10*m - 9*m + 37, j + 7 = -m. Calculate the least common multiple of (-200)\/q*m\/(-15) and 18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 127892 and -1.\nAnswer: 127891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 25 times -413?\nAnswer: -10325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z - 1. Let v be n(3). Let x(k) = -k - 9. Let f be x(-8). Put -3, v, f in increasing order.\nAnswer: -3, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 27579321 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9\/4 + -2. Which is the fourth biggest value? (a) 2 (b) -2 (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 92701896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 12910000 rounded to the nearest one hundred thousand?\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 199045 is divided by 467?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 8*w**4 + 5*w**3 - 3*w**2 - 5. Let q(d) = 4*d**4 + 2*d**3 - 2*d**2 - 2. Let s(x) = -2*f(x) + 5*q(x). Find the third derivative of s(r) wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 + d**2 + d - 25. Let q be b(0). Let g = -25 - q. Suppose 11*w - 16*w + 150 = g. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 + s**2 + 4*s - 43. Suppose 0 = -z + 13*z. Let d be w(z). Do -43 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c + 2*z = -185 + 205, 0 = -z for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve k = n + 41 - 20, 2*k - 34 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 + 3*k**2 - k + 3. Suppose 9*h - 43 + 16 = 0. What is n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 122928, 122926, 122924, 122922, 122920?\n\"Answer: -2*z + 122930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 42 and 77174644.\nAnswer: 1620667524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -166, -165, -170, -187, -222, -281, -370, -495?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04331336 to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n. Let p(l) be the second derivative of 11*l**3\/6 + 36*l. What is b(p(w))?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -1\/1078?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.2921 - 0.0221. Which is the third smallest value? (a) -5\/4 (b) 6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-1)\/3*((-209)\/19 + 14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cvbvcjvgvcci. What is prob of sequence vb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 519, 526, 533, 540?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21657406?\nAnswer: 2, 31, 349313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20940, -167426, -565026, -1339296, -2615792, -4520070, -7177686, -10714196?\nAnswer: -15255156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((19610\/4218)\/(-53))\/((-15)\/(-18)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 129 = -5*n, -6*n = -497*j + 496*j + 4 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 3321 (base 7) to base 11\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -2*n**4\/9 + 322*n**3\/9 - 5596*n**2\/3 + 275032*n\/9 + 292144\/9 = 0.\nAnswer: -1, 38, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 1109*a + 156375. Calculate q(-141).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/5)*h)\/h**(-4) assuming h is positive.\nAnswer: h**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 23*y + y - 4*y in the form z + t*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -12264*f - 13 + 10 + 12200*f. Let a(g) = -g**2. What is a(i(n))?\nAnswer: -4096*n**2 - 384*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 1193*m**3 + 8*m**2 - 612*m. Let f(u) = 1192*u**3 + 6*u**2 - 615*u. Let g(b) = 4*f(b) - 3*l(b). Find the second derivative of g(n) wrt n.\nAnswer: 7134*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 + -6. Let j = t + -1. Differentiate -2*k - 2*k**2 - 1 + j*k wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(153) + sqrt(153) + 1.\nAnswer: 6 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21049 is divided by 6389?\nAnswer: 1882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*j**5 + 3*j**3 - 72*j**2 - 2974*j + 2.\nAnswer: -260*j**3 + 18*j - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {u: 12, o: 6}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -608917 (base 10) in base 14?\nAnswer: -11bca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2))**44\/(a\/(a*a**(-4))*a**(-1\/7)) assuming a is positive.\nAnswer: a**(-643\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, a: 10, w: 6}. Give prob of sequence jj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/427008 and 35\/12?\nAnswer: 427008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + 3*d + 4*d)*(-7 - 13 + 6 - 2 - 2 + 2 + (-3 + 1 + 1)*(-1 - 1 + 3) + 2 + 0 - 3)*(-1 + 1 - 2).\nAnswer: 324*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g**2 + 6*g**2 - 4*g**2)*(2 - 2 - g) - g**3 - g + g + 4*g**3 + 0*g**3 - 2*g**3 - 3*g**3 + 6*g**2 + 7*g**3 - 3*g**2.\nAnswer: 3*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(5) + 4) + 2.\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the second derivative of -22*l + 1\/16*l**4 + 147\/8*l**2 + 7\/4*l**3 + 0. Factor o(k).\nAnswer: 3*(k + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15215 (base 6) in base 15?\nAnswer: -ade","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-186)\/9)\/(2\/(-21)). Suppose y = v + 43 + 15, 0 = 4*y + v - c. Suppose 2*p = -2*j + 48, 2 - 18 = -4*j. Calculate the remainder when y is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 + 10 - 0)*-2. Let f be 2\/2 - r\/5. Find b, given that 4*b**5 - 8*b**4 - 3*b**3 + 14*b**4 - 6*b**2 - b**f = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w + 2*w - w**2 + (620 + 33*w - 620)*(2 - 2 - w).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 5, 1\/2, -0.042255, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 24*n**2 - 87*n - 2166. Give f(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -27*p**2 + 953*p - 9218. Let r(f) = 7*f**2 - 237*f + 2306. Let i(z) = 11*r(z) + 3*v(z). Factor i(q).\nAnswer: -4*(q - 52)*(q - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -3*u**3 + 6844*u**2 - 77136*u - 99878. Give j(2270).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1249*l**3 + 2949*l**3 - 1699*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 821 a factor of 1275517094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2136 - -0.1136. What is the closest to 1 in 0, w, 1\/3, -1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j + 5. Let s(y) = -3*y - 14. Let b(l) = -11*c(l) - 4*s(l). Let i be b(3). Find the second derivative of -2*o**4 - 2*o + i + 0 - 4 wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16*(-1)\/80*1530\/((-36)\/4).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 131436 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1565 a factor of 97870405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.276 take away -0.0332701?\nAnswer: -0.2427299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 796 is divided by 785.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-12)\/(-5))\/(27\/(-90)). Let k be 4 - q\/4 - 3. Let s(g) = -g**3 + 4*g**2 + 3. Let n be s(4). Solve 2*l - 2*b - 3*b - 17 = 0, -n*l + k*b = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**2 - 8*i. Calculate b(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/34 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (14\/(-364))\/(1\/(-4)). Let t = 5 - 4.8. Which is the closest to 0? (a) t (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.13 - 0.43. Let f = 0.7 - u. Suppose -4*b - 6 = -2*b. What is the biggest value in b, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -550*l**3 + 3*l**2 - 1816*l - 141587490 wrt l.\nAnswer: -1650*l**2 + 6*l - 1816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 - 1464.1.\nAnswer: -1463.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7950.956 + 7989. Let a = -300 - -338. Let i = a - d. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.076 and 178.\nAnswer: -13.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -16, -2\/5, -2\/119, 5 in descending order.\nAnswer: 5, 0, -2\/119, -2\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 31\/5 of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36\/(-8) - (-28 + 2945\/62).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 - 5)*(-2*z - z + z) as b + i*z and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p**2 - 13*p. What is q(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*5*2*sqrt(4900)*1)\/((sqrt(700) - (sqrt(700) + 6*sqrt(700)*2) - sqrt(700)) + (sqrt(700) - (sqrt(700) - 6*1*sqrt(700)))).\nAnswer: 20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-31122)\/(-6669))\/((-1)\/(-6))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -715439\/71 - -10077. Find the common denominator of 107\/6 and x.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 42 - 56. Let m(f) = f**2 + 16*f + 31. Let n be m(k). Suppose n*h - 51 = 2*h + 3*i, 0 = 2*i. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/((a**(-1)*a)\/a))\/(a*a\/a**(-2\/3)))**(-50)\/((a\/a**(-1\/3))\/((a*a*a**(2\/21))\/a*a))**11 assuming a is positive.\nAnswer: a**(292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 401, 852, 1371, 1994, 2757, 3696?\nAnswer: 4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 447 or -3663\/73?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 149025839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3299\/(-16495))\/((-1)\/7)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 + 16*g**2 + 34*g + 28. Determine y(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + 2. Let g = w - -2. Suppose -r = -g*r + 44. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 3*u + 2*m, 3*u + 0*m - 81 = 3*m. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -5280*q + 31677. Let b be t(6). Let f(m) be the second derivative of m**2 - 1\/4*m**4 - 1\/2*m**3 + 2*m + 0. Determine f(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 87180716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -21*s**5\/4 - 191*s**4\/4 - 375*s**3\/4 + 155*s**2\/4 + 99*s + 9 = 0. What is s?\nAnswer: -6, -3, -1, -2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 15598, 15600, 15600, 15598, 15594, 15588, 15580?\n\"Answer: -m**2 + 5*m + 15594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -615, -5, -0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*d - 4*x = 60, -5*d + 31 = -5*x + 66 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dsd when three letters picked without replacement from rrssddddsssd.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -2\/11, -1 in increasing order.\nAnswer: -1, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 16 = -6. Let x(l) be the third derivative of l**5\/60 + 7*l**4\/24 - l**3\/3 + 8*l**2. What is x(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from jjjdjdlllljjlldjdljd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.4, 5, -2\/11, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/8)\/(-119 - (-4948835)\/41584)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 140*m**3 - 699*m**2 + 17*m - 117. Calculate y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6806 + -6802. Which is the smallest value? (a) 0.068 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*c - 13*c - 8. Suppose -8*j + 140 + c = 0. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00302 to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 25381483, 50762971, 76144459, 101525947, 126907435, 152288923?\n\"Answer: 25381488*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -6309*q = 6608*q - 12698*q + 7884 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 15091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002673601619 rounded to seven decimal places?\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 46*n - 2*n + 220 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 25 + 17. Suppose -9*y + 7*y = -m. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 13*f**2 - 22*f - 2. Suppose 39 = -9*y + 22*y. Is t(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -491*j**2 + 11*j + 242*j**2 + 42*j**3 + 247*j**2 + 8*j wrt j.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -1210*y**2 - 3. Let b(c) = -3633*c**2 - 8. Determine 3*b(z) - 8*g(z).\nAnswer: -1219*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u + 2. Let q be (-4)\/18 + 58\/18. Let r(m) = -q + 4*m - 3*m + 5. Suppose 53 = 5*t + 73. What is t*l(o) + 3*r(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 311584 or 311600?\nAnswer: 311600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 92, -4, 2, 4, 0 in decreasing order.\nAnswer: 92, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -642 or 30\/841?\nAnswer: 30\/841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2246*l*y**2 + 2*l*y + 151*l + y**3 - 9*y + 187 wrt y.\nAnswer: 4492*l*y + 2*l + 3*y**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 10\/131 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2918538436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 62 - 48. Which is the closest to 0? (a) 0.3 (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 37509*x - 72. Let i be b(8). Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 314\/1179 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6 (b) 1\/11 (c) 1\/5 (d) 79 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -0.0089.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 694 is divided by 138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 124 = 170. Let l(m) = -13*m**2 + 80*m + 9. Let p be l(6). What is the greatest common factor of p and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*p - 21 + 27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-6) + (-1)\/(-3) + 1. Suppose 0 = d*k - 6*k + 72. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*k + 35 = 36*k. Suppose 0 = -4*v + 4*y + 20, -4*y - 21 = -k*v - y. Solve v*c - 13 = 2*u - 0*c, -5*u = -c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 77842, 77776, 77712, 77650, 77590, 77532?\n\"Answer: m**2 - 69*m + 77910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*i**3 + 25*i**3 - 57*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -1. Let r(v) = -2 + 4 - 9*v - 5. Let s(m) = -r(m) - 4*x(m). What is the tens digit of s(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (21\/1008*24)\/(1\/(-34))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 326989304, 653978608, 980967912, 1307957216, 1634946520?\nAnswer: 1961935824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -16, -27, -56, -109, -192, -311?\n\"Answer: -m**3 - 3*m**2 + 5*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = 2*y + 10*y + 80 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 22 = -9 + 27 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8.28? (a) 1 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 8 = 4*n, -3*n - 21 = -2*z - z. Let o = -1 - n. Suppose -2*j + 4*c + 36 = -c, c + o = 0. Round j to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 661, 2\/7, -0.2, 3 in decreasing order.\nAnswer: 661, 3, 0.4, 2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/6))**(-13\/2)*(x\/(x**16*x))\/(x**(-1\/2)\/x))**(-23) assuming x is positive.\nAnswer: x**(3703\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*r - 3*r**2 - 10*r + r**2.\nAnswer: -2*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 374955101 to the power of 1\/2, to the nearest integer?\nAnswer: 19364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -2*c**2 - 3442*c - 6876 = 0.\nAnswer: -1719, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5804457287 plus -5?\nAnswer: -5804457292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 7913, 31690, 71333, 126836, 198193, 285398?\n\"Answer: -o**3 + 7939*o**2 - 33*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 80, 155, 374, 809, 1532, 2615?\n\"Answer: 12*y**3 - 9*y + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the second derivative of -i**3\/6 + 12*i. Let x(o) = 57*o**2. Give g(x(d)).\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 12*r - 9*r - 298 = 5*c, 13*r - 133 = 2*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -90 - -56 - (-34 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*h - 2*h. Let b = 2368 + -2369. Sort -14, h, b in increasing order.\nAnswer: -14, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 + 8*i**2 + 2*i - 11. Let r be a(8). Suppose r*g + 1105 = -3*p + 8*p, 2*p = -2*g + 454. Is p a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7080852 is divided by 92?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 70579549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 257 + -244. What is the greatest common factor of 169 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -e - -4?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (4*r - 3*r + 4*r)*(-3*r + 3*r + r) + r**2 + 7*r**2 + 0 - 1 in the form f + i*r**2 + u*r and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes after 5:36 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1027 + 1027. Which is the third biggest value? (a) -5 (b) 1 (c) -4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 8 + 67. Calculate the remainder when 97 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4 + 29*y**3 - 9*y**3 + 3*y**3 - 3*y**2 - 14 with respect to y.\nAnswer: 69*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y + 2*y - 2*y. Let x(u) be the second derivative of -u**6\/36 + u**3\/3 + 5*u. Let c(k) be the second derivative of x(k). What is c(a(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -2.95116 to two decimal places.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**2 + 13*n + 2. Let r be i(11). Let h be (-138)\/r + 1\/(-4). Let t = h - -10. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-2 - -8)*(-6)\/(-12) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -4*d + 4 + 16, d + 1 = -j. Solve 0 = -3*l - k + d*k - 11, 9 = -2*l + k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pzzn when four letters picked without replacement from {y: 1, n: 1, p: 4, z: 9}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 19*j**3 + 3*j**2 + 3*j - 1. Calculate n(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of -g**5\/6 + g**2. Suppose y + 8 = 6*f - 4*f, -4*f + 16 = 3*y. Let a(s) = -12*s + 16*s - f*s - 2*s. Calculate p(a(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3155973 times -62?\nAnswer: -195670326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes after 12:59 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 32 + -159\/5. Let m(l) = 5*l + 4. Let r be m(-1). What is the second biggest value in r, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000004461135 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -63 - -66 - (-17 + 3 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n**(1\/6)\/n*n)\/n*n)\/n)\/n**(1\/4)*(n\/n**4)\/n**(-6) assuming n is positive.\nAnswer: n**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1385929?\nAnswer: 1385929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/((m*m**(-4\/13))\/m)*m*m)\/m*m*m**(2\/7))\/(m\/(m\/m**7)*m*m**(-2\/5)*m) assuming m is positive.\nAnswer: m**(-2278\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**3 - 9*h**2 + 8*h + 1. Let w be g(8). What is the greatest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 c and 1 y when four letters picked without replacement from coyijyyoccicjiccjcz?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.073 + 0.073. Let p = 3 + -2.8. Let o = 0.8 + p. What is the nearest to t in -2\/9, o, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.26 (b) -0.08 (c) -0.5 (d) -2078 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -0.06 (b) -1\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 412 (base 7) to base 9.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 34 + -16. Let y(m) = 2*m**3 - 159*m**2 - 83*m + 242. Let i be y(80). What is the greatest common factor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/31 greater than or equal to -582.2862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*v = 5*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i**2 - 1 - 5*i + 4*i - i**2. Let c(z) = -z**2 + 9*z + 9. Let g(j) = -c(j) - 2*y(j). Give g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/6*24\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 82450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 5 times 0.36\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -131 - -135. Suppose 0 = -19*v + 2*v + 323. Suppose 9 = b + 2*b. Solve v = b*w + g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1011001001 (base 2) to base 14.\nAnswer: -38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5183317*f**2*y - 16*f*y + 230765*y wrt f?\nAnswer: -10366634*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -3\/8 (b) -4 (c) 64 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -640858 by 1.\nAnswer: -640858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.4 (b) -7507 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93024.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1.9 (b) -0.5 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18 - -8. Let l(i) = -2*i**3 - 20*i**2 - 16*i + 37. Let c be l(-9). Let s = c + b. Solve 4*o - 3*j = -s, -2 - 10 = 2*o - 4*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -8*t**2 - 3*t + 5. Suppose -2*l + 5*v = 20 - 154, 4*l = -3*v + 320. Suppose -l = c - 73. Let w(p) = -p**2 - p + 1. What is c*w(h) + a(h)?\nAnswer: -4*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/6*(16 + -3 - 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 2*g - 2741, -g + 6*g - 13720 = -5*m. Let b(a) = -2743*a + a**2 + m*a. Let i(q) = -116*q**2. Give b(i(k)).\nAnswer: 13456*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.21834 from -1742.\nAnswer: -1741.78166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 - 3)*(0 + 0 + 2 + (0 + 2 - 3)*(1 + 2 - 2) - 2 + 5 + 0)*(2*x + 2*x - 2*x).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 19 - 18.883. Let j = 6.017 - i. Let f = 4.9 - j. Which is the third biggest value? (a) 5 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-53204)\/(-39903))\/(640\/2).\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/44982 and -113\/108.\nAnswer: 89964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -41 + 42. Is -4\/13 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1259 + 1262. Sort s, 8, 42.\nAnswer: s, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: What is next in 16519, 16490, 16475, 16480, 16511, 16574, 16675, 16820?\nAnswer: 17015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**4\/2 + 121807*h**3\/2 - 182706*h**2.\nAnswer: -h**2*(h - 121804)*(h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*p + 9*j - 11*j + 2, -8 = -p + 2*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -6*n + 10. What is v(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -8*n**2 + 4*n + 18. Let h(r) = 7*r**2 - 3*r - 17. What is 6*h(f) + 5*m(f)?\nAnswer: 2*f**2 + 2*f - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2991985?\nAnswer: 5, 179, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*w - 5*j = -4*j - 5, 2*w + 4*j + 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/17)\/f*f)**(-1\/22)*f*f*f**(-3\/10)*f*f**12 assuming f is positive.\nAnswer: f**(27479\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tvyyg. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 150901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = -3*j - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -2, -0.03, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + -3192.\nAnswer: -3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of s**3*z**2 + 10069*s**3*z + 79*s**2*z**2 - 6*s**2*z + 2 wrt s?\nAnswer: 6*z**2 + 60414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39215711 is divided by 176?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 1 = 85. What is the least common multiple of r and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -588 - -857. Let n = b - 246.7. What is n rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 1 (c) -0.71 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 275572 - 193211. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -645 divided by -215\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 - 4. Let n(q) = -q**2 - 4*q + 6. Let g(y) = -6*y**2 - 19*y + 31. Let t(r) = -2*g(r) + 11*n(r). Give t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**2\/9 - 2032*m\/9 - 516128\/9 = 0. What is m?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4320586ml to litres.\nAnswer: 0.0004320586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 488 + -486. Let p be 0 - (-3 + (-1)\/1). Solve 4*r - r + 21 = m*z, 2*r = -2*z - p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 11\/(-7) + (-2 - -4). Let p = -424797 + 424808. Is a != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2471436 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 49 = t, 5*t = t + 4. What is the remainder when 70 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24272 = -7*s + 127599. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4 + -6)*(0 - 4). Let j = z + -5. Suppose h = -j*h + 16. Solve 4*o + 10 = s, 2*s + 2*o - h*o - 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8068 - 6214. What is the remainder when w is divided by 614?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-4)*(4 - (-32)\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 AM and 3:01 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 49*f**2 + 122*f - 98. What are the prime factors of n(-53)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 2:24 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x**2 + 117387130*x + 688986914481845 = 0. Calculate x.\nAnswer: -11738713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/3*3*-2. Let d = 104 - 103. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 14 = 5*f + 8, 0 = -3*j - 3. Let d(p) = -9*p**2 + 10*p + 7. Let b(n) = -5*n**2 + 5*n + 4. Give f*b(s) + 3*d(s).\nAnswer: -2*s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, h: 1, z: 3, j: 1, f: 3, a: 2}. Give prob of picking 1 h and 3 z.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -350, -265, -36, 409, 1142?\n\"Answer: 12*x**3 + x - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1911)\/84*(-32)\/28?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2644109 is divided by 9654?\nAnswer: 8567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 7 - ((-15 - ((-3 - 3) + -13 - -9)) + -8)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 - 35*u**2 - 158*u + 48. Give j(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, o: 11, k: 3}. What is prob of picking 2 o and 1 k?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -7*q + 1. Let t(z) = -z - 1. Let i(w) = f(w) - 4*t(w). Let y be i(0). What is the second derivative of -6*s - 3*s + 8*s**y + 0*s wrt s?\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 + 9*x**2 - 9*x - 2. Calculate m(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 797958031 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -192 >= 5\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 1 + 9 + k + 15 - 2. Is 5 a factor of a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -2 (c) -1\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hmhh when four letters picked without replacement from nzhemmhnmmhr.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3219 divided by -29?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(-230)*4\/(-3).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange n**4 + 0 + 6*n + 1 - 158974*n**2 + 158971*n**2 - 8 to r*n**4 + k*n + c*n**3 + b + f*n**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3a6 (base 14) to base 6\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 151113951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -3*l**5 - 268806*l**4 + 2150586*l**3 - 4838940*l**2 + 81*l + 7258410 = 0.\nAnswer: -89610, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of -12 + 101 - a + 0*a - 7. Let z(d) = d - 11. Determine -3*g(h) + z(h).\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -18 + 23 + (-4 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 + 4768?\nAnswer: 4768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -22*x**5 - 5*x**4 - 5*x**2 - 24*x. Let u(l) = l**4 + l**2 + l. Let j(i) = 5*u(i) + v(i). Find the second derivative of j(g) wrt g.\nAnswer: -440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - 29*j + 24*j + 93948, -4*l - 3*j + 125253 = 0. Is l\/33 + 0 - (-6)\/33 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -5*y**2 - 5*y + 1. Let m(b) = -2*b**2 - b**2 + 42*b - 46*b. Let u(o) = -3*g(o) + 4*m(o). Calculate u(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 2*y - 7116 = -4*j, -j = 1. Calculate the greatest common factor of y and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 26*t**3 - 21*t**2 + 17*t. Let r(x) = 9*x**3 - 7*x**2 + 6*x. Give 17*r(u) - 6*s(u).\nAnswer: -3*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12.1 - 13.1. Put 0.21, x, 2 in descending order.\nAnswer: 2, 0.21, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -128, -174, -216, -254, -288, -318, -344?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 55 + -38. Let b(s) = s**3 + 6*s**2 - 3*s - 2. Let x be b(-6). What is the remainder when x\/(-1)*(-2 - 0) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = z**2 - z + 27. Let c be d(0). Suppose -4*u + 21 + c = 0. What is the remainder when 22 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12174996 to the nearest integer?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**3 + 9*k**2 - 4*k + 4. Let j be 4 - -5 - (47 - 46). What is p(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 50 - 15. Does 35 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, b: 3, y: 1}. Give prob of sequence yv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-1*sqrt(1088) - sqrt(1088)) + ((sqrt(204)\/sqrt(48))**2 - sqrt(17)) + (-5*1*sqrt(119))\/(sqrt(7) + sqrt(28)\/(sqrt(4) + sqrt(16)\/sqrt(4))).\nAnswer: -61*sqrt(17)\/3 + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**5\/5 + 14*r**4\/5 - 6*r**3 + 18*r**2\/5.\nAnswer: -2*r**2*(r - 3)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**2*(h*h\/h**(-2\/23))\/h*h*h**2*h**(-4) assuming h is positive.\nAnswer: h**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 297 - 9*q - 609 + 301. What is the remainder when 48 is divided by w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m**2 + 0*m + 0*m)*(-10964 + 12758 + 20536).\nAnswer: -22330*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 182628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 - 5. Let z(b) = -2*b + 2. Let j be z(u). Let v = j + -5. Sort -2\/9, 4, v in decreasing order.\nAnswer: 4, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3a - -10?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19 - -62. Let p = 191 - b. Suppose 5*k = 3*w + p, 4*k - w - 81 = -0*w. 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: Factor j**3\/3 + 345*j**2 + 109679*j\/3 - 36905.\nAnswer: (j - 1)*(j + 121)*(j + 915)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 46 divided by 180\nAnswer: 23\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3*16\/24 - (-6)\/(-3). Let t(m) = 13 - m - m**2 + m**3 + 6 + 1 - 2. Determine t(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -130877 and 0.5.\nAnswer: -65438.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -95 - -579. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1231 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 2 + 3 = n, 0 = -4*n + 20. Let m(f) = -f - 3. Let z be m(0). Is (v + 1)\/(z\/(-231)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o - g + 4 = 0, -6 = 5*o + 2*g + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1 + 4b7?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17\/(187\/(-55))*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - ((-6 - -10) + 0 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8581.73723 - -0.23723. Round q to the nearest ten.\nAnswer: -8580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/2))**36\/((x*x*x\/(x*x**(-25)))\/x**(-36)) assuming x is positive.\nAnswer: x**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*l**4 - 3 - 18334*l - 95*l**4 + l**3 + 10*l**4 + 18335*l - 2*l**2 + 0*l**3 to the form o*l**2 + c*l**3 + p*l**4 + r*l + n and give p.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -73*b*v**2 - 280*b*v - 2*b + 184*v**2 - v + 1 wrt v.\nAnswer: -146*b + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 5*a - 4. Let d(w) = -11*w + 9. Calculate 3*d(m) + 7*g(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22.95 + 23.01. What is the nearest to -1 in z, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 342709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - a = -1, -3 - 2 = -a. Suppose -5*h = w*d - 39, -2*d = 6*h - 7*h - 9. Solve 11*p - d*p = 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*y - 63, 0 = 2*c - 11744*y + 11746*y - 46 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1 + 4 + sqrt(3)) - (-2 + (-1 + sqrt(243) - sqrt(243)) - sqrt(243)).\nAnswer: -9 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 402209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d - 8*d - 344 = 0. Suppose 87*h = d*h + 47. What are the prime factors of h?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 210 and 7560?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 355*w**2 + 148*w**3 + 371*w**2 + 2 - 1082*w**2 + 350*w**2 to i*w + o*w**3 + f + r*w**2 and give o.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -81*p**6 - 72084*p**4 + 2*p**3 - 135793082*p**2.\nAnswer: -9720*p**3 - 1730016*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -136 = -3*c + c. Suppose -u - 204 = -3*f, 15*u = 5*f + 10*u - 360. Does f = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -7*u - 6. Suppose q + 3*q + 24 = 0. Suppose 5*g - g = -52. Let l(o) = 15*o + 13. Determine g*h(w) + q*l(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3a34 - -11b55?\nAnswer: a121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 21250*k - 7522487. What is r(354)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2221\/376 + 3\/94. Find the common denominator of h and -67\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j = 0, 0 = 3*z + 2*j - 2*j - 5*j + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-129*t + 145*t + 96*t)*(-29 + 29 - t) as u + n*t + z*t**2 and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3336\/15)\/(62\/155). What is the highest common factor of 973 and j?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 6:35 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, -40, -60 in ascending order.\nAnswer: -60, -40, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 604073377 a multiple of 1344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -3. Suppose j - 1424316 + 564316 = s. What is j rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -913, -4393, -10221, -18397, -28921, -41793?\nAnswer: -57013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 66 - 66.5. Let x = 4.2 - j. What is x rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5967 - 2871. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i**2 + i. Let a(z) be the second derivative of z**4\/6 - 65*z + 2. Give a(y(v)).\nAnswer: 8*v**4 + 8*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - -2. Let m = h + 2. Let n = 46\/39 + -11\/13. Which is the third biggest value? (a) n (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32899?\nAnswer: 167, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.696437 milligrams to nanograms.\nAnswer: 2696437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llnlnlln?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 7*c**2 - c + c + 0*c. Let x = 4 + -4. Let n(q) = x*q**2 - q**2 + 2*q**2. Calculate n(z(k)).\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 663 + -736.8. Let v = x + 5.4. Round v to the nearest integer.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7934562 is divided by 11191.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -0*c - 5. Let g be (-204)\/(3\/c) - -2. What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = x**3 - 6*x**2 - x - 5. Let h be y(5). Let i = h + 36. Which is bigger: i or 2\/115?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2829527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 20 = b, 4*b - 3*f + 20 = -7*f. Suppose -2*t = -0*t - 3*p - 31, 4*t + 5*p - 95 = b. What is the lowest common multiple of t and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 - 1. Let p(a) be the second derivative of 24*a - 1\/2*a**3 - 9\/2*a**2 - 1\/2*a**4 + 0 - 1\/20*a**5. Give p(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9710, 9718, 9740, 9782, 9850?\nAnswer: 9950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*q + 20*q = 306. Calculate the smallest common multiple of q and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -589 = 7*m + 111. Let f = -63 - m. Suppose 42*v - 880 = f*v. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) 163 (b) -392 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 9.35, 0.16, -1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1072743 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/(189\/36))\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**12*c)\/c*c*c*c)**(3\/25)\/((c*c\/c**(-14))\/(c**23*c)) assuming c is positive.\nAnswer: c**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -d = -3*m, 2*d + 2*d = -3*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 18 = -2*d, 5*d = 9*d - 4. Which is the second smallest value? (a) x (b) 0.077 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1292257041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 315668.\nAnswer: 2, 53, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of 1\/120*j**6 + 0 + 1\/24*j**4 + 1\/60*j**5 + 4*j**2 + 0*j - 2\/3*j**3. Let t be k(0). Sort t, -1, 4 in ascending order.\nAnswer: t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38692 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1229 - 1229 - 20*k - 8*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2529912)\/(-110) + -5*(-6)\/(-25)?\nAnswer: 2, 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5016537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = t. Suppose -5*o + 267 - 87 = t. Suppose 0 = -4*u + 5*u + 5*l + 6, -3*l - o = -3*u. What is the least common multiple of 3 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the third derivative of -p**6\/120 - p**5\/10 + 5*p**4\/24 - 5*p**3\/3 - 3*p**2. Let u = -5 + -2. What is the units digit of w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 5786, 23497, 53016, 94343, 147478, 212421?\n\"Answer: 5904*o**2 - o - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 80908*j**3 - 19*j + 58696876?\nAnswer: 242724*j**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 82003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 16*f + 18*f - 14*f + (f + 0*f - 2*f)*(-3 + 3 + 2) as i*f + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together 2.9 and -125.19.\nAnswer: -122.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 296092877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -13*m + 3. Let c(k) = 9*k - 2. Let h(o) = 3*c(o) + 2*i(o). Let l(u) = -174*u**2. Calculate h(l(n)).\nAnswer: -174*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of v**5*y + 3835565*v**4*y**2 + 223*v**2*y**2 + 9936*v**2 + 2*y wrt v.\nAnswer: 60*v**2*y + 92053560*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/8 + (-1)\/(-4). Suppose -4*t = -5*l + 83, -2*l + 23 = -a*l - 5*t. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-21)\/84 - 229\/(-4). Let h = 58 - s. Calculate the remainder when 32 is divided by ((-5)\/(-10))\/(h\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 5*i - 1 + 5, 3*b = 2*i - 12. Let u(y) = -y - 1. Let c be u(b). Suppose -q + 2 = c. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -78, -142, -182, -186, -142, -38?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1723? (a) -0.3 (b) -1 (c) -0.1 (d) -7 (e) -2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -181 - -176. Is 25 a factor of 3552\/(-160)*(0 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2284735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*p**3 - 2733*p**2 - 24*p - 232459 with respect to p.\nAnswer: 6*p**2 - 5466*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1138 + 1143. What is the second smallest value in -7, -2, 4, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 10:10 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3023223111 - 2?\nAnswer: -3023223113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 13668*f + 16690 wrt f?\nAnswer: 13668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 2*n**2. Let a(l) = -2*l - 5658. Calculate a(p(i)).\nAnswer: -4*i**2 - 5658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 + 13*k**2 + 28*k - 17. Let l be a(-10). Solve -x = -l*p + 15, 3*p - p = x + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 978*p**2 + 10*p + 5. Let c(v) = -1465*v**2 - 14*v - 7. Let l(q) = 5*c(q) + 7*g(q). Let x(r) = -25*r. Calculate l(x(j)).\nAnswer: -299375*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, 4, 78, -1, -1326?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3\/2 (b) -3\/5 (c) -67314\/79 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 + 10*z**2 - 10*z + 7. Let i be t(-11). Calculate the lowest common multiple of 8 and ((-2)\/4 + -1)*i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68) - (-4*sqrt(68) + sqrt(68) + sqrt(68))*5)**2*-6.\nAnswer: -49368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-3)*(0 - 16\/(-4)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -f**4 - 1393466*f**2 + 6444390 wrt f?\nAnswer: -4*f**3 - 2786932*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14022215\/6003 + 53718\/23. What is the common denominator of 97\/12 and t?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9661.446 micrometers to nanometers.\nAnswer: 9661446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2080979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 3*p - 42. Let y be c(13). Let q be -3 + 0 - y\/1 - -2. Suppose q = 44*b - 43*b. Solve b*h = 7 - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*n**2 + 93 - 19*n**2 - 93 + 3*n**2.\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*g**4\/11 - 12462*g**3\/11 + 1084*g**2\/11 = 0. What is g?\nAnswer: -271, 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 19890367098002 plus 4?\nAnswer: 19890367098006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-558)\/434)\/((-3)\/7). Let o = -37 - -45. Solve 5*l - o = 3*z - j, -2*z + 4*l - 6 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 41668 and 1454.\nAnswer: 30292636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-9)*30\/(-105)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 66 in -1\/4, 0.2, 1, 5\/308?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 - n + 1. Let u(a) = -a**2 - 3*a + 18. Let h be u(3). Suppose -13*d + 17*d + 16 = h. What is s(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = p**2 - 18*p - 22. Let h be m(19). Let f be (4\/(-6))\/(2\/12). Is h > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 2*x**2 + 38*x - 89. Give s(-19).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 5746\/(-20)*-2 + (-435)\/725 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132230 (base 7) in base 8?\nAnswer: 60357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + 3*l**4 - 3 + (-3 + 3 + 2)*(-9*l**3 - 4*l**4 + 9*l**3) + (-4*l**3 + 0*l**3 + 3*l**3)*(-4*l + 0*l + 2*l) - 487*l**2 + 9*l**4 + 487*l**2.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k, 1 j, 1 r, and 1 t when four letters picked without replacement from jkqjqjjjtjtjjrjqqq.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-60840)\/312)\/(((-32)\/(-8))\/(16\/12))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 222 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -20.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -27 + 29. Is w + 2 + -5 + 107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 + 3*p - 48. Calculate the remainder when h(-10) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 2*a**2 - 1 + (2*a - 2*a + a**2)*(-1 + 4 - 4) + 70 + 69*a**2 - 70 - 27*a**2 - 14*a**2 - 22*a**2 as d + o*a**2 + q*a and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Express -4381*c**2 - 2585*c**2 - 4907*c**2 as b + v*c + d*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of s**4\/2 - s**3 - 5. What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4960 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (-5*sqrt(540)*-4)\/(4*-2*sqrt(147)))*1.\nAnswer: -15*sqrt(5)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i**2 - 13. Let w(a) = -1426058*a + a**2 + a**2 + 1426058*a. Calculate w(g(k)).\nAnswer: 8*k**4 - 104*k**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 - 7*o - 2. Let l(h) = -h**3 + 6*h + 2. Let q = 26 - -31. Let t = q - 51. Determine t*s(f) + 7*l(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 59*r + 13*r**2 - 304 + 303 - 209*r as z*r + d + h*r**2 and give z.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 7*r - 28. Let o(g) = -2*g. Give b(o(m)).\nAnswer: -14*m - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 f, and 1 m when three letters picked without replacement from {m: 3, f: 3, q: 6, i: 1, x: 2, w: 4}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**2 - 13*z + 27. Let b(x) = -x**3 - 9*x**2 - 2*x - 7. Let p be b(-9). Let h be o(p). Suppose h*i - 114 = 151. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + -11200111022?\nAnswer: -11200111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 1. Let c(n) = n**2 + 3*n - 5. Suppose 0 = -4*t + h - 12, t + 4*h = -5 - 15. Calculate t*x(b) - c(b).\nAnswer: -b**2 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -161984 divided by -16.\nAnswer: 10124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2087173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -23862 by -11931.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 3*v + u + 148, 5*v - 4*u - 142 = 0. Let p = -10 + v. Solve -2*a - 2*b = p, -2*a + b + 0*b - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 265063\/2170 - 4537\/62. Let f = -417\/7 + t. Let m = -199462\/45705 - -2\/4155. Calculate the common denominator of m and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhuu. What is prob of picking 2 h and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the second derivative of -311*j**8\/28 - j**4\/4 - 25*j**3 - 120*j. What is the third derivative of q(v) wrt v?\nAnswer: -74640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1128321 divided by -1\nAnswer: -1128321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01992 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 + 22*o**2 - 33*o - 3. Let j be t(20). Let q = -133 + j. Solve n = 2*i - q + 1, 0 = -3*i + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 23811 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6\/19 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 333764536 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n - 6, -3*u + 4*n + 2 = -u. Suppose 4*a + 2*i + 36009 = u*i, a - 4*i + 9012 = 0. What is a rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 118952808 divided by 111588?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -251 - -259. Let s(h) = 32*h**3 + 8*h**2 - 8*h. Let j(i) = -21*i**3 - 5*i**2 + 5*i. Let d be (0 + -2)\/(-7 + 231\/35). Determine d*s(p) + n*j(p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -31 - -19. Let a = 30 + u. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 159 + -301. Let r = q + 144. Solve -r*f = 0, 5*s + 3*f + f = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 43 - 36 - (-7 + -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*p + 5204 - 5292. Which is the fourth biggest value? (a) -5 (b) -4 (c) p (d) 1\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4804*p + 4625*p = -2791 - 9560 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 33032 (base 5) to base 4\nAnswer: 203123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**9*g**(-3)*(g*g*g**(-4\/7)*g)\/(g**(3\/2)*g) assuming g is positive.\nAnswer: g**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4501 + -b?\nAnswer: -450c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 > -38566222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 239 + -87. Let w = -155 + q. Which is smaller: w or 0.026?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1368 and 432?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 7532711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/1795693 and -52\/1161919.\nAnswer: 19752623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 24b - -162?\nAnswer: 3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes before 3:00 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**2 + 48*f + 221. What is the least common multiple of 534 and s(-5)?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-7))\/((-592)\/(-518))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cddhccclh. Give prob of picking 2 h and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 - (4 - (-41 + 43)*(1 + 0)). Solve -k*j + 13*c - 11*c - 7 = 0, 5*j + c = -29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2713 - -46?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes after 7:44 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -6*g + 83 + 112 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -288.17 - -287. Let p = -11.07 - k. What is p rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 825294 a multiple of 526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (1 - 1) + (10 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aawaqvvwaavvvaivvvv. Give prob of picking 1 w and 3 v.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1477643 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*g**3 + 0*g**3 + 9*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52689.\nAnswer: 3, 7, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001419229888 to seven dps.\nAnswer: 0.0001419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -10 (b) 2 (c) 5 (d) -3.399 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 10219895 divided by 1\nAnswer: 10219895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 38 - 27. Let p(n) = -n**3 + 12*n**2 - 2*n + 25. Let k be p(12). What is the highest common factor of k and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6007?\nAnswer: 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the second derivative of 637*h**5\/20 - 15*h**4\/2 + 2*h**3\/3 - 781*h. Find the third derivative of a(k) wrt k.\nAnswer: 3822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/66 and 32\/187?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the third derivative of -h**6\/60 + h**5\/60 - h**3\/6 + 10*h**2. Determine r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 776380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1027 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/5, 1\/2, -1\/1341, -33?\nAnswer: -1\/1341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 5) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1517 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 27 (base 12) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -324330, -324328, -324326, -324324, -324322, -324320?\n\"Answer: 2*b - 324332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11100100000 - -111111111?\nAnswer: 100100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 240 is divided by 164.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -57, -84, -91, -72?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -657094, -1314194, -1971296, -2628400, -3285506, -3942614, -4599724?\n\"Answer: -q**2 - 657097*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 6 = 19*v - 17*v, -k - 5*v = -2. Solve -l + 1 = -3*h, -k*l = -h + l - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 64702, 64709, 64726, 64759, 64814, 64897, 65014?\n\"Answer: j**3 - j**2 + 3*j + 64699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -20804*f - 647 - 658 + 1305 to the form m*f + d and give m.\nAnswer: -20804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -42336 - -1?\nAnswer: -42335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aahagahhhgg. Give prob of picking 1 g and 3 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(78)*-4*-2)\/(sqrt(486)\/(sqrt(9) + (sqrt(225) - sqrt(9)))).\nAnswer: -40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find t such that -162201305*t**4 + 160276145*t**3 + 1917555*t**2 + 7595*t + 10 = 0.\nAnswer: -2\/469, -1\/263, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in -0.57, -2\/19, -0.3, -1, 49\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:53 AM and 5:30 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.6 and 174.\nAnswer: -104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2444577?\nAnswer: 3, 814859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - (0 + 0)) + (-10 + 19 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3 + (-8 - -2) + -39. Is c at most as big as -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -6*m**2 - 14*m. Let b(f) = -f**2 - 3*f. Calculate 14*b(x) - 3*h(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -8*g. Let o(f) = 1958490*f**2. Give l(o(k)).\nAnswer: -15667920*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -22.7 - -19.7. Suppose 0 = -5*k + 7*k + 126. Put f, k, 5, 0.5 in descending order.\nAnswer: 5, 0.5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 136 and 1586236?\nAnswer: 3172472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply 28 and 33.\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1.58 (b) 0.4 (c) -3\/4 (d) 0.2 (e) 0.063 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Simplify (i**0\/i*i)**(-23)*i*i**4*(i*i**10)\/i*i assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -138*y**2 - 139*y**2 + 275*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**4 + 24*z**3 + 28*z**2 - 24*z - 26 = 0 for z.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 8*d - 90 = 0. Suppose -2*a + 8 + 4 = t, -2*a - 4*t + d = 0. Suppose a*m = -0*m + 100. Calculate the remainder when 38 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 122 + -116. Solve -k*a - 3 = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 7*s**3 - 2*s**2 + s - 14. Let t(c) = 20*c**3 - 6*c**2 + 4*c - 43. Let l(g) = -17*a(g) + 6*t(g). Let m be l(3). Is m at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8318 + -7592. Calculate the smallest common multiple of 16 and g.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185753.\nAnswer: 185753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 6773159427 + 0.0424.\nAnswer: 6773159427.0424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuuuyuyuuuuuy. Give prob of sequence yu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -38 + 39.4. What is the third biggest value in o, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4531.5 - -4532. Which is the nearest to -0.6? (a) m (b) -0.4 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -u = -s - 2, -s - 2*u + 9 = -4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 4 + 0 = 0. Suppose 10 = -3*h - 5*d, -h + d + 0*d = -v. Suppose h*b + 336 = 4*b. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes after 11:42 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 136 - -b?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1769*z**2 + 8*z**2 + 664*z**2.\nAnswer: 2441*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -71993 at least -72086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of -5*q**2\/2 + 26*q + 23. Let b(s) = -3*s + 17. Determine 8*b(r) - 5*o(r).\nAnswer: r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 7093291.\nAnswer: 5\/7093291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 g when three letters picked without replacement from {q: 7, g: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = c - 3*c. Let q be 0\/c*3\/(-6). Suppose 4*s = -q*t + 2*t - 24, 5*t + 15 = -5*s. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 289 by -427921.\nAnswer: -289\/427921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 12177026429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2540a (base 11) to base 3\nAnswer: -1211222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -8 + 2 + 1 + 15 + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9055*f**3*i**2 + 2*f**3*i - 3*f**3 - 58*f**2 + 381*i**2 wrt f?\nAnswer: 54330*i**2 + 12*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 822708197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -0.02 (c) -13 (d) -11 (e) -1 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 168571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 8*u - 32 = 0. Let h be -3*(-3)\/(-45) + u\/20. Suppose 10*q - 30 = -h*q. Solve q = -3*p + 3*m, -2 - 1 = -p - m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41559 = 2*m - 6*m - p, 4*m + 5*p - 41539 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -30 - -32. Suppose -222 = -v*k - 0*k. Calculate the remainder when k is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11913425.\nAnswer: 5, 23, 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/7946 and 10\/3.\nAnswer: 23838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(252) - ((-4 + -1*sqrt(252))**2 + sqrt(252))) + 1*sqrt(252)*4.\nAnswer: -268 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -f - 2, -3*v + 9*f - 7*f - 1 = 0. Let t(x) = 5*x**3 - 2*x - 1. Calculate t(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(-1) - 18\/(-3). Sort -0.5, u, -1\/5.\nAnswer: -0.5, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 3:53 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -0.3 (c) 28 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together -34349897 and 1.1.\nAnswer: -34349895.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 4892025.\nAnswer: 19568100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**2 - 6*o + 5. Let z be y(-8). Let r = -8 - z. Suppose 0*a - 42 = -r*q + 5*a, -42 = -3*q - 4*a. What is the remainder when 53 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 70*p + 34*p + 3 + 68*p + 6*p to the form f + g*p and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - 127 = 29. Suppose 0 = -4*p - 2*w + k, 3*w - 21 = -0*p - 3*p. Let u be 22\/p + 2\/6. Solve -g = -0*g - u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3539, 2\/23, 1\/2 in increasing order.\nAnswer: -3539, 2\/23, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 448351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -24.01914 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -184 + 174 - (4 - ((6 - 3) + -5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in thirteen twelths of a minute?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/7? (a) -2\/5 (b) 4\/5 (c) 13.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2*r**3 + 139*r**2 + 1132*r - 614. What is p(-60)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**2 - 13*d - 10. Let v(s) = -4*s - 71. Let k be v(-15). Calculate x(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ztc when three letters picked without replacement from ctookzz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 498 (b) -1 (c) 3.55 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 883.462um in nanometers?\nAnswer: 883462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 4*q - 1 = -4*u, -4*u + 10 = q. Suppose u*j = 5*p - 77, 3*p + 3*j = -j + 52. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*d + 4*d - 3*d + (-d - 3*d + 3*d)*(1 + 1 + 1).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -7*a**3 + 6*a**3 + 4*a**2 + 4*a**3 + (-2*a**2 - a**2 + a**2)*(-6*a + 4*a + a) in the form k + q*a + t*a**2 + m*a**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 233 a factor of 121642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -85, -97, -109, -115, -109, -85?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 146\/367 - 35842\/56885. Calculate the common denominator of 167\/210 and z.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0122019796 to six decimal places.\nAnswer: 0.012202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (((-2)\/(-3))\/(240\/(-630)))\/((-3)\/(-12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**2. Let f(b) = b**2 + 2*b - 266. Give f(k(q)).\nAnswer: q**4 + 2*q**2 - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 156 and 16.\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwxxcwxwccxxc. Give prob of picking 4 x.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 377, 755, 1133, 1511?\nAnswer: 1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(132)\/sqrt(3))\/(sqrt(100) + sqrt(100)*1).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 35479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-88)\/(-170) + (66\/(-15))\/11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.1 - -3.3. Let f = -9\/64 + 237\/320. Is g < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -63 - -67. Suppose n = -r, 5*a + 6*r = 7*r + 14. What is the second biggest value in a, 0.5, 0.2, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(140) + -1*sqrt(140))\/sqrt(7) + sqrt(100)\/sqrt(20))\/(1*sqrt(28)\/sqrt(112)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 9) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 3*a + 30, 3*w = 5*w - 4*a - 14. Let u be (2\/w)\/(10\/15). Put u, -4, -2, -19 in ascending order.\nAnswer: -19, -4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1219*q**2 - 4*q + 1412*q**2 + 5*q - q - 191*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bfbfbb. What is prob of picking 4 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 - 9*r**2 - 8*r - 2. Let d(k) = 18*k. Let h be d(2). Let a = h + -44. Let n be m(a). Let s(f) = -f**2 - 4*f + 1. Determine s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1201599*t + 1201654*t - 2310 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 190\/1026*8\/(-20) - (-5334)\/(-162).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5\/(-10)*(-10)\/(-1). Let f = -10 + 14. Let i(v) = 0*v**2 + f*v**2 + v**3 - 6*v - 5 + 0*v. Calculate i(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g + 1304 = -r - 622, -5*r - 5 = 0. Let w be (3\/(21\/(-5)))\/(110\/g). Let -15 + 5\/2*x**2 - w*x = 0. What is x?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-6)*182*111\/3848.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10570, -15171, -19772?\nAnswer: -24373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -71 - -87. Suppose 2*g = -3*o + 7*g + 35, g - j = -4*o. Let z be (-16)\/(-9) - (-8)\/36. Solve z*p - p = -o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.01, -35, 4, -0.16, 0.07 in increasing order.\nAnswer: -35, -0.16, 0.01, 0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3549 at most as big as 3529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2025220 plus 2?\nAnswer: 2025222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 + -2. Let z = -4.9999973 + t. What is z rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(38)*2)\/sqrt(2))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 58425261 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w**5\/4 + 6223*w**4\/2 - 12443*w**3\/4 - 12445*w**2\/2 = 0. What is w?\nAnswer: -1, 0, 2, 12445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*p + 3*z - 84, 23 + 40 = 3*p - 4*z. Let d = 37 - p. Let l = 40 - d. Calculate the greatest common divisor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 589 and 32829?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4 or -195?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (v**2 + 2*v**2 - 5*v**2)*(-212 + 385 + 937) - v**2 - v**2 + 5*v**2 to f*v**2 + d + i*v and give f.\nAnswer: -2217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(180)*2 + (sqrt(135)*2)\/sqrt(3))\/((sqrt(729) + sqrt(729) + (sqrt(729)*-1 - sqrt(729)) + sqrt(729))*-2) + 4.\nAnswer: -sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 3*v - 172. Let t = 12 - v. Suppose 5*y = 4*n + y - 44, 5*n - 85 = -5*y. What is the greatest common divisor of n and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 354447669.\nAnswer: 3, 118149223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**2 + 4*r - 5. Let c be w(4). Is c at least -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 48\/126*(-3)\/(-4). Let y = -4 + -211. Let m = y + 210. Sort -2, d, 4, m in increasing order.\nAnswer: m, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from ztztjzbzttjbttttj?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 15, -3735 in descending order.\nAnswer: 15, -2, -3735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*r**3 + 21*r**4 - 4*r**4 + 0*r**3 + 2 + 7*r**3 - 4*r**3 to b + s*r**4 + w*r**2 + u*r**3 + x*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 22 and 345872.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1002 (base 3) to base 11\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24446 and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.022470824773 to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33798 and 58996.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -7 + 2 + (-88 - -103)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3120 divided by 1040.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f + 33. Let p be g(-7). Let j be (-2 - p\/(-6))*(21 - 18). Let v = j - -16. What is the remainder when 205 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 100.17, 5, -0.7, -3\/4.\nAnswer: -3\/4, -0.7, 5, 100.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40705824.\nAnswer: 2, 3, 424019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 + 3*s**2 + 2*s. Let d be y(3). Suppose 4*g - d*g = 0. Suppose -i + 22 = -g. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 85310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 3, 2\/3 in increasing order.\nAnswer: 2\/3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 - -1) + (-2 - -1). Let n(q) = q**3 + 4*q**2 - 5*q - 4. Let s be n(-5). Let v be (-14)\/4 + (-2)\/s. Put v, i, -1 in decreasing order.\nAnswer: -1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 55*o - 2. Let j be w(15). Suppose 5*u + 87 = -j. Let p = u + 260. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 3)*((3*u**2 - 3*u**2 + 2*u**2)*(0*u**2 + 0*u**2 - 3*u**2) + (-u**3 + 60*u**2 - 60*u**2)*(-u + 5*u - 2*u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 56229000 to the nearest 100000.\nAnswer: 56200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-1\/3))**(2\/21))**(-29)*(q**(1\/4)\/(q*q**3))**(-16) assuming q is positive.\nAnswer: q**(3838\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 291 - 131. Suppose -2*b = 2*k - g, -k = 2*b + 14 - 172. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19691103 = -2*a + 187*a - 90419232. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 3*m**3 + 4*m + 11. Let p(j) = -4*j**3 - 5*j - 12. What is 5*n(w) + 4*p(w)?\nAnswer: -w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*d = -2*u + 5*d - 15, -3*d = u + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 151966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 0.13, 2.6, 1.9, 0, -2\/5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 113*p**3 + 27918*p**2 - 6*p - 2809867 wrt p.\nAnswer: 339*p**2 + 55836*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n = 432*u - 431*u - 10, 0 = -u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5018, -10036, -15052, -20066, -25078, -30088, -35096?\nAnswer: -40102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 234 = -1028*j + 1010*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 11102222212 (base 3) in base 7?\nAnswer: 513014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54*u - 51*u = -o + 57938, 4*o + 38644 = 2*u. What are the prime factors of u?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1727917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 217734 + 3*z**3 - 435748 + 218014.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o*o**6))\/o*o*o\/(((o**(-2)*o)\/o)\/o))**(-33) assuming o is positive.\nAnswer: o**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the third derivative of -2\/15*u**6 + 0*u**4 + 0*u**3 - 20*u**2 + 0*u + 7\/30*u**5 + 0. What is the third derivative of j(n) wrt n?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s = -s + 12. Suppose 5*h - 11 - 4 = 0. Suppose -h*c = -s - 9. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -331656688 divided by -165828344\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13 and 1641623.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121675755?\nAnswer: 3, 5, 8111717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 161867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 199, -0.01, -0.4, 0.06, -2\/57?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 18269103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4566 is divided by 757.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 420854429 to the nearest integer?\nAnswer: 20515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -83238, -332560, -748096, -1329846, -2077810, -2991988, -4072380?\nAnswer: -5318986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3951769 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 7*z**2 + 3 - 3 - z**3 - 13*z**2 - 31 - 8*z. Determine y(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/3 (c) 82\/11 (d) 0.174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(((-20)\/(-4))\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.09 - 0.39. Let a = 0.437 + 0.063. Let n = z + a. What is the nearest to -2\/9 in n, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5*(-1)\/5*1*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 19 by 34.\nAnswer: 19\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, p: 5, t: 4, z: 5, q: 3}. What is prob of sequence zt?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = 2*i - 3*c, c - 38 - 29 = -3*i. Let g be 1\/2 + i\/(-4). Let p(b) = 5*b**2 - 2 + 6*b - 5*b**2 - 4*b**2 - b**3. What is p(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -297.72 + 293. Let x = m + 3.7. Round x to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1318, -2639, -3960, -5281?\nAnswer: -6602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0265167 to three dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*h + n - 4 = 20*h, -5*h - 4*n = -2. Solve -3*f - h*p = -f - 18, 5*f + 4*p = 40 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*r**5\/21 - 20*r**4\/3 + 243050*r**3\/21 + 104300*r**2\/3 + 162304*r\/7 = 0. Calculate r.\nAnswer: -384, -2, -1, 0, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -33953*t**2. Let f(i) = -18*i + 19. Give f(g(w)).\nAnswer: 611154*w**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -d + 1. Let c = 20 + d. Suppose c*t - 4*t = 70. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-1*1\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 178040 divided by 6?\nAnswer: 89020\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -1, 83, -42, 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -1022 (base 8) to base 4.\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/(-16))\/(140\/120)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 229.5 + -179. Let x = w - 50.501221. Round x to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 871789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -3*y**2 + 4*y - 6. Suppose 3*r = -g - 6, 6*r + 39 = -g + 27. Let u(k) = 4*k**2 - 5*k + 6. Give r*u(z) - 3*o(z).\nAnswer: z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + -18 + (64 - (-2 + 0 + -7) - -1).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 10*l**2 + 23*l - 6. Give x(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 47 = 3*i, -2*y + 65 = 5*i + 4. Let c be (-28)\/6 + 1\/(-3). Let j = i - c. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 60.6 + -51.34. What is u rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 91433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 9) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 15 + 5*d - 6 - 13*d**2 + 2*d - 3*d. Let s(x) be the first derivative of 7*x**3\/3 - x**2 - 5*x + 3. What is 6*k(r) + 11*s(r)?\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1204, -2400, -3598, -4798, -6000, -7204, -8410?\n\"Answer: -d**2 - 1193*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((x\/(x**(-2\/19)*x)*x)\/x*x)\/x*x)\/x)\/((x\/x**(1\/3))\/x))\/((x\/((x\/(x\/(x*x**(6\/5))))\/x)*x)\/x*x**(1\/11)) assuming x is positive.\nAnswer: x**(1717\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-7)\/(z\/z**(-16)*z)*z**(-24)*z*z\/z**(3\/8))**(-21) assuming z is positive.\nAnswer: z**(7959\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w = 5*j - 6*w - 1, 5 = j - 4*w. Suppose 4*i + 4*c = 0, 0*c - 15 = -5*c. Let k be j + i + (-31020)\/(-10). What is k rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -d**5\/4 + d**4\/6 - d**3\/6 - d. Suppose 5*a = m + 9, 5*m = 9*m - 3*a + 2. What is t(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.7, 1\/3, -137, 8, 0.3, -0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4133052517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**3 - 9*g**2 - 28*g - 81. Determine s(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -208481 (base 12) to base 4\nAnswer: -1331002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -148, -180, -240, -334, -468, -648, -880, -1170?\n\"Answer: -x**3 - 8*x**2 - x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 341\/65 - 2\/(-13).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppazzppappappapzpzp. What is prob of sequence azaa?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - -1 - 2 - 54) + (-11 - -1 - -3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 23*r + 19*r + 12 = 0, -u = -5*r + 3. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26478252?\nAnswer: 2, 3, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7758249 or -7758247?\nAnswer: -7758247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from ihiiohorrhohhhi.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, -75, -5, -4 in descending order.\nAnswer: 1, 0, -4, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8027728.\nAnswer: 2, 19, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 114977 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74255 is divided by 151?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the second derivative of -c**5\/20 + c**4\/4 + 3*c**3\/2 - 7*c**2 + 10*c. Let w(o) be the first derivative of k(o). Factor w(u).\nAnswer: -3*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 2*d**3 - 39*d**2 + 23*d + 52. Determine w(19).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3795918.\nAnswer: 2, 3, 7, 90379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -63.01 - -63. Let m = -3.2 - 0.8. Let t be 1 + -3 + -2 + 1. Which is the third biggest value? (a) t (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((5*-1*sqrt(432))**2 + 2 + 1 - ((1 + sqrt(432) + -4)**2 - 4*-2*sqrt(432))*1).\nAnswer: -20724 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 8 = -5*a + 2*n, -5*n - 4 = 3*a. Let c be ((-3)\/(-4))\/3*a. Determine b, given that 0 - 1\/2*b**2 - c*b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 49\/50 + -61\/75. What is the nearest to 1 in -0.03, -18, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the second derivative of 3*u + u**2 + 5\/6*u**3 - 1\/20*u**5 + 0 - 1\/4*u**4. What is q(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 25262221 - 3?\nAnswer: 25262215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + (20 - (-7 + 12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -101694 >= 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqdq. Give prob of sequence dqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve a**4\/2 + 37*a**3\/4 - 186*a**2 + 983*a\/4 + 341\/2 = 0.\nAnswer: -31, -1\/2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 11*t - 18. Let i = 39 - 30. What are the prime factors of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38005531 less than -81737?\nAnswer: -38087268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 1.424, 63 in decreasing order.\nAnswer: 63, 11, 1.424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 411010.\nAnswer: 2, 5, 23, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -70 + 22. Let b = g - -44. Let l(z) = -16*z**3 - 2*z - 3*z**2 + 5*z - 3 + 15*z**3. Calculate l(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 167081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 - 170 = -4*n. Let a = -26 + n. What is the smallest common multiple of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 27*c**5\/5 - 1333737*c**4\/5 + 16492855629*c**3\/5 - 542668915323*c**2\/5 - 1776478459716*c\/5 = 0.\nAnswer: -3, 0, 36, 74047\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 6 = -6*g. Suppose -2*a - 2*a + 92 = 0. Suppose -a = -5*k + 2. Sort g, 3, k.\nAnswer: g, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-2)*c*((c\/c**(3\/8))\/c)\/c)\/(((c**(-1\/3)*c*c)\/c*c)\/c**(2\/7))*((c*(c*c**(2\/3)*c)\/c)**(-6\/7))**37 assuming c is positive.\nAnswer: c**(-14671\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be 12431*(-54)\/167817 + 4. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*g - 0*g - 2*w, 3*g = -5*w + 7. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/10498 and -7\/18643.\nAnswer: 1081294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*z - 33*z - 2166 = 0. Calculate the remainder when 135 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 913453 times -0.3\nAnswer: -274035.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - -39436373295874.\nAnswer: 39436373295873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13 + -10. Let b be (-1)\/1 - (-32 - j). What is the third derivative of -28*y**6 - 40*y**3 + 40*y**3 - b*y**2 wrt y?\nAnswer: -3360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 109 divided by -29?\nAnswer: -109\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 3573, 3501, 3437, 3381, 3333, 3293, 3261?\n\"Answer: 4*m**2 - 84*m + 3653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 77 and 49.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 15*r**2 + 7*r + 11. Is 17 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 130*c - 64*c = 52*c + 406 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 10, 0 = h - 5*h - 2*s + 20. Suppose 22 + 51 = 11*u - 114. Solve a - h*c = -9, 0*a - 4*a - 3*c = u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**3\/3 + 577720*b**2\/3 + 1155446*b\/3 + 577724\/3.\nAnswer: -2*(b - 288862)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 2*c - 15 = c, 0 = -3*c. Suppose -j*d - 2*d = -210. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 3*(4 + (sqrt(121) - (sqrt(121) - sqrt(121)*1)*-5)\/(sqrt(99)*-3)) + -3.\nAnswer: -sqrt(11)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be (6 - 4)*119\/2. What is the highest common factor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-26 + 11 + 8)*(2*a**5 - 4*a**5 + a**5).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -232\/147 - -12\/49. Suppose 5*z - 4*l - 25 = 13, l = 2*z - 17. Let v be (-5)\/z*6 - (0 - -1). Which is the closest to 1? (a) v (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 2*i + 29, -37 = -3*a + 3*i + i. Let r be a\/4 - 3 - -2. Suppose 0 = 5*k + 5*y - 10, 0 = 2*k - 4*k - 4*y + 6. Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v**2 + 3. Let m(q) be the first derivative of 5 - 3 - q - 3 - 3. What is 3*m(w) + s(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 909 - 157. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**3 + 616*h**2 + 10624*h + 43520.\nAnswer: -4*(h - 170)*(h + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1989)\/1053)\/(3\/(-9)).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ymh when three letters picked without replacement from dwwdydwmdddwdyhwddmd?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 12 + (12 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(152) - (sqrt(152) + -1*sqrt(152) - sqrt(152))*-1 - (sqrt(152) - (-3*sqrt(152)*-2 - sqrt(152))))\/(2*sqrt(16)\/sqrt(2)*-5)*5.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4620530 (base 9) in base 5?\nAnswer: 1114243422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 50*h**5 - 135*h**5 + 2*h**4 + 0*h**2 - 16*h**2 + (-6*h - 3*h**2 + 6*h)*(-5*h**2 + 5*h**2 + 2*h**3).\nAnswer: -91*h**5 + 2*h**4 - 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1081 - 2161\/2. Factor r*t**3 + 3\/2*t**2 + t + 0.\nAnswer: t*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11020113, -22040232, -33060357, -44080488, -55100625, -66120768, -77140917?\nAnswer: -88161072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 106, 384, 832, 1450?\n\"Answer: 85*c**2 + 23*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*i**3 + 3 - 27*i**3 + 15*i**3.\nAnswer: -26*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -649 divided by 11\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187636*r + 187630*r - 375233*r.\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -260206763\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -1004*p**2 + 2040*p - 64 = 0. Calculate p.\nAnswer: 8\/251, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22 + -13. List the prime factors of h\/(-6) - (-147)\/2 - 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 60, 372, 1200, 2796, 5412?\nAnswer: 9300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9515\/42 - 1482\/7. Let s = 1505\/2 + -716. Calculate the common denominator of s and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23603 - (21 - -9 - 17)?\nAnswer: 2, 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiicciiixiixicchxhx. Give prob of sequence cx.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1845195095.\nAnswer: 5, 157, 2350567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6997140737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/(-28)*(-2312)\/(-85)*15\/(-6)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -30 (b) -10 (c) 10\/3 (d) 4\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/14 + 1160\/56. Let c be (2 + h\/(-3))\/(-1). Suppose c*y = -2 + 7. Calculate the lowest common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.89 + -0.9. Let m = k - 7.99. Let n = m - -7.9892. Round n to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*((-8)\/(520\/13))\/1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.3, 1\/5, -579?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8074845 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/21708 and 25\/1608.\nAnswer: 43416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 417584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2706, -3869, -5046, -6243, -7466, -8721, -10014, -11351?\n\"Answer: -y**3 - y**2 - 1153*y - 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -82\/357 and -109\/245616?\nAnswer: 245616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 99.8705 take away -22?\nAnswer: 121.8705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-6)*324\/180?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 2836 divide 94940772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 - -11. Let y(c) = -c**2 + 11 + 2*c**2 - 3*c + c - 7*c. Let k be y(8). Solve -k*h - 3 = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 300345 (base 6) to base 15\nAnswer: 6e45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/9 + 4568\/18. Find the second derivative of -w*n**2 + 16*n**5 + 254*n**2 - 39*n wrt n.\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 48 and 20412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**2. Let h(c) = -1993*c + 115. Calculate h(d(p)).\nAnswer: -1993*p**2 + 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -15d3 + 2d6?\nAnswer: -12ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1098843745088 - 1098844386881.93000075. Let a = z + 641794. Let o = a + -0.07. Round o to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 1019 = 3*t - 1031. Let z be ((1*-2)\/(-4))\/((-6)\/(-60)). Which is the nearest to t? (a) z (b) 1\/4 (c) -5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -381511\/45180 + -1\/5020. What is the common denominator of -87\/10 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 563, 1225, 1921, 2669, 3487?\nAnswer: 4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2311 divided by -3?\nAnswer: -2311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 192, 682, 1504, 2652, 4120, 5902?\n\"Answer: -i**3 + 172*i**2 - 19*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 3*f + 318 = -91, u = -3*f + 200. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 107663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 44285\/6 + -7381. Which is the nearest to -1\/64? (a) o (b) 0 (c) -0.06 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 10519124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 18*u**2 - 23*u + 146. Calculate the remainder when b(5) is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 11.9 and -59066.\nAnswer: -59054.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -14*i + 49. What is a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of 37*y**2\/2 - 251. Let x(u) = -22*u**2. Determine v(x(r)).\nAnswer: -814*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 2. Let f(k) = -k**3 - 3*k**2 + k - 2. Let q be f(-4). Suppose -5 = 3*d + q. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q**2*q*q*q*(q\/(q*q**(1\/11)))\/q*(q**(1\/3))**(8\/9))\/((q**0)**4\/((q\/q**(1\/5))\/(q*q**6))) assuming q is positive.\nAnswer: q**(8\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 7 = 2*s. Suppose 2*y + b + 0 = 8, -4*b + 6 = -s*y. Solve 5*h - 20 = -6*k + y*k, h + k = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -398 + 18 = 38*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 71 and 2.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.2 (b) -42\/835 (c) -7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 28*p - 1. Let d be i(-3). Let j = 127 + d. Suppose 5*w = -5*b + 535, 5*b - 4 = 6. What is the highest common divisor of j and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 23.7, 2\/5, 1, -0.07, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2\/(-6))\/(4\/(-12)). Let d = -1 + n. Let y = 43\/533 + 3\/41. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -106*c + 113*c - 6860. Let m be (6\/20)\/(168\/c). Determine q, given that 1\/2 - m*q + 5\/4*q**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/(551\/928)*-3*3\/18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 381404*s**3 + 269888.\nAnswer: 1144212*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 28377043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together 6025001915503 and 0.16.\nAnswer: 6025001915503.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, 3, 0, 35\/2, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 65, 57, 45, 29, 9, -15, -43?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/6)\/((-2)\/(-24000)). Let u be x\/(5 - 2)*-100. Round u to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1.423 or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*f**3 - 6*f**2 + 3*f**3 + 0*f**2 + 6*f**5 wrt f?\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-44)\/(-2816) - 2\/4*0. Do s and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -99*k + 2. Let a(g) = 50*g - 1. Give 5*a(h) + 2*b(h).\nAnswer: 52*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(144) + sqrt(144)*-2)\/sqrt(8))\/(sqrt(48)\/(-1*sqrt(8))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -25628, -25615, -25602, -25589, -25576, -25563?\n\"Answer: 13*d - 25641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 831 and 2487.\nAnswer: 688899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1202, -4791, -10772, -19145, -29910, -43067, -58616?\nAnswer: -76557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h = 5*k - 74, 10284*h - 10285*h = -3*k + 41 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 30020 = -5*v - 30002, -5*a = -2*v - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 9 = -l, -4*l + 8*c + 44 = 4*c. Suppose -2*d + 26 = -16. Let z = -5 + d. Calculate the highest common divisor of z and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the first derivative of -m**6\/3 - 3*m**4\/4 + 6*m**2 + 4*m + 60. Find the second derivative of j(s) wrt s.\nAnswer: -40*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -172 * -0.3465.\nAnswer: 59.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -256.4947753 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -378.01 - -2.01. Let l = 407.8 + n. Let x = -28 + l. What is x rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*p**3 + 239200*p**2 - 7152558376*p + 28606406432 = 0. Calculate p.\nAnswer: 4, 59798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2450*d + 6 = -2447*d. Put d, -2, -11, -4 in decreasing order.\nAnswer: d, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185 a factor of 109520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -822*c + 2474. What is the remainder when 677 is divided by i(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**3 + 10*m**2 + 12*m - 14. Let o be y(11). Put -1, 3, o in increasing order.\nAnswer: o, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1138846 or 1138705?\nAnswer: 1138846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2156*-58.\nAnswer: -125048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (a + 4*a - 4*a)*(3*a + a - 3*a) + 4711 + a - 200*a**2 - 4711 - a.\nAnswer: -199*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the second derivative of -g**5\/60 - g**4\/24 - 3*g**2\/2 - 2*g. Let s(p) be the first derivative of r(p). Find the second derivative of s(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -0*l + 2, 3*l = -2*w + 7. Suppose 80 = 4*k - m + 3*m, 0 = -w*k - 2*m + 44. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m*m*m**(-6\/11)\/m))**(-13) assuming m is positive.\nAnswer: m**(-78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-13)\/((-13)\/(-18)))\/(112\/(288\/(-18)))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b + 11. Let k be g(-6). Suppose 8*h = k*h + 12. Calculate the smallest common multiple of 4 and (h\/(-2))\/(2\/(-10) + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56081387 is divided by 187563.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/(v**(-1)\/v)))\/v**(-4))\/(v**(1\/7)*v*v**(-1\/8)*v)*((((v*v\/(v*v\/v**0))\/v)\/v)**(-25))**(-9) assuming v is positive.\nAnswer: v**(-25201\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 136709 + 114611 = 0. Let k(g) = 2*g + 114765*g**2 + 102166*g**2 - d*g**2. Let p be k(-6). Round p to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 5*o - 94 = 10, 4*w + 2*o - 120 = 0. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27 + 41. Find the third derivative of 47 + 10*z**4 + s*z**2 - 47 wrt z.\nAnswer: 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from xwovvwxwvwww?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 537979?\nAnswer: 13, 29, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) 5 (c) -7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/(-28))\/((-4)\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -31 - -3431?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**2*c*c)\/c)**5\/(c**(-2\/7))**(-22) assuming c is positive.\nAnswer: c**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5)\/10 - 19\/(-2). Let y(i) = -i**3 + 9*i**2 - i + 13. Calculate the smallest common multiple of 8 and y(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9 + 1)*4\/8. Let q be 240\/32 - (-6)\/y. Solve 2*n = q*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3218190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 37, -2, -41, 2 in ascending order.\nAnswer: -41, -2, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(209) + (sqrt(209)*1 - sqrt(209)))\/sqrt(11))**2 + (sqrt(19) - sqrt(190)\/(sqrt(10) - (sqrt(10) + sqrt(40)\/sqrt(4)))))*-5.\nAnswer: -95 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h + 11. Let t be 16\/(-5)*10\/(-4). Let x be i(t). Solve -x*y = -2*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -20220?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 AM and 2:53 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -651 + 696. Calculate the smallest common multiple of 20 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6465 - 273086?\nAnswer: -266621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1619*u**3 + 8*u**2 + 2112*u**3 - 8*u**2 - 4263*u**3.\nAnswer: -532*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -62\/5, 0.2.\nAnswer: -62\/5, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**2 + 4. Let l be g(3). Let a(v) be the first derivative of v**4\/4 - 14*v**3\/3 + 17*v**2\/2 + 12*v + 27. What are the prime factors of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -0.5 and -2.85723571.\nAnswer: -3.35723571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of -c**2\/2 - 9101. Let s(o) be the third derivative of -2*o**5 + o**2. Give f(s(a)).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let i = -12 + -3. Let x be 6\/5*i\/(-6). Solve -x*j = -3*g + 4*g + 1, -3*j + 5*g = 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 3*z**2. Let u(s) be the second derivative of 226*s**3\/3 - 2499*s. What is u(w(h))?\nAnswer: 1356*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-62)\/4 + (-2)\/4. What is the remainder when (f\/(-20))\/(2\/10) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 757 - 758. Is z less than or equal to 0.022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r*r*r\/r**(-2\/9)*r\/(r\/r**(-2\/47)) assuming r is positive.\nAnswer: r**(1768\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12 - -10.4. Let m = f - -1.2. Let z = 0.6 + m. What is the biggest value in -5, -0.01, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/45 and ((-13)\/22)\/((-324)\/540)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 6368, 12746, 19124, 25502?\n\"Answer: 6378*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**0)**(3\/32)\/(h\/h**(-6)*h*(h\/((h\/(h\/(h*h**10))*h)\/h))\/h))**10)**(-42) assuming h is positive.\nAnswer: h**(-1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 - -4. Suppose n = 2*o - 6, -2*x + 18 + 3 = 3*o. What is the common denominator of 12\/16*(-7)\/x and -1\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*u - 8 = 63*u + 3*d, 88*u - 65 = 2*d - 409 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-1\/15)\/(g\/g**(-4))*(g*g**(-3\/7))\/((g*g**(1\/6)*g)\/g) assuming g is positive.\nAnswer: g**(-1189\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 23 + -24.53. Let x = v - 0.47. What is the nearest to -1\/3 in -1, 2\/3, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.316 * 186.6.\nAnswer: 58.9656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the first derivative of k**5 + 5*k**4\/2 - 25*k**3 + 779. Factor g(y).\nAnswer: 5*y**2*(y - 3)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:37 AM and 5:01 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/21 - 187\/(-231))\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (228\/(-27))\/38*-36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and 1.677?\nAnswer: 8.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -122d1 (base 16) in base 4?\nAnswer: -102023101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nkbbjii. What is prob of picking 1 k, 1 i, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the first derivative of -1\/20*z**5 - 13\/3*z**3 - 16*z + 3\/4*z**4 + 12*z**2 + 9. Factor x(p).\nAnswer: -(p - 4)**2*(p - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1687 + 9260 + 4*y - 4*y - 2*y.\nAnswer: -2*y + 7573","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1343985, -5375953, -12095901, -21503829, -33599737?\nAnswer: -48383625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -696*r**2 - 141*r - 253561 wrt r.\nAnswer: -1392*r - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.04 - 0.06. Which is the nearest to -0.2? (a) w (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do -7806\/43 and -182 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/7))**(2\/35)\/(u\/u**(-6)*u)**(-5))**31 assuming u is positive.\nAnswer: u**(303862\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (4\/(-18))\/(290\/870)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34772 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 1916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 51\/811454 and 35\/927376.\nAnswer: 6491632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -645 = -4*p + 91. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -0.502638?\nAnswer: -0.0502638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(3456)*-1 - sqrt(3456))\/(sqrt(8) + sqrt(64)\/sqrt(128) + sqrt(648)*-2).\nAnswer: 144*sqrt(3)\/67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 3, m: 12}. What is prob of picking 1 j and 3 m?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 280\/46 + (-680)\/(-115)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -1\/2*f**6 + 0*f**2 + 0*f - 3\/4*f**4 + 0*f**3 - 6\/5*f**5 - 5. Factor n(l).\nAnswer: -3*l**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 404164, 404559, 405202, 406081, 407184, 408499, 410014?\nAnswer: 411717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.042, -6, 22, -1, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -667130, -2668599, -6004382, -10674479, -16678890, -24017615, -32690654?\n\"Answer: -667157*d**2 + 2*d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be -18*(3\/(-2))\/3. Let g = -60 - -100. Suppose -8*a = -3*a - 5*l - g, 9 = -2*a - 3*l. Solve 4*r + c = -5*b, -4*r - r - a*b - 8 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:29 PM and 9:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*0.059.\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 11890 by 1116.\nAnswer: 5945\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -17466910 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**2 - 13*r - 22. Let l be h(-9). Calculate the highest common factor of l and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2396029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 154 + -107. Let l = o + -42. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*a - 1132 = -592 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a - 5. Let m be q(-10). Suppose 4 = -3*f + 4*y - m, y = -5*f + 8. Let v be (-58)\/(-12) - f\/(-6). Solve 3*k - 3*t = -v*t - 7, 0 = 5*t + 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2481144 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 3 = -2*w + 2*o, 0 = 3*o + 9. Suppose -4*d + 2*c - 18 = 0, -5*c + c + 11 = -3*d. What is the second biggest value in w, 0.5, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27481 divided by 3523?\nAnswer: -27481\/3523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -2*a**2 + 5*a - 3. Let v = -63 + 17. Let n = v + 49. Calculate j(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 34\/(-4) - (-9)\/(-18). Let s be (4 - u)\/(2\/(-2)*1). Let p(x) = -x**3 - 13*x**2 - 3*x + 14. What is the tens digit of p(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1200*r + 1545*r - 76*r - 436*r.\nAnswer: 2233*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t**2 - 5*t - 3. Let m(k) = -2*k**2 - 15*k - 9. Let z(l) = 6*m(l) - 17*u(l). Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5845903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, y: 6, k: 4}. Give prob of picking 2 t and 2 y.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*l**2 - 23*l**3 + 7*l**2 + 9*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2555728903.\nAnswer: 7, 13, 541, 51913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1 + (2 - 4 + 4)*(-4 + 2 - 2))*(-p**3 + 25 - 40 + 22).\nAnswer: 9*p**3 - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -34073487 divided by 81711\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -770*j**2 + j - 730*j**2 + 2 + 1505*j**2. Let l(b) = -b**2 - 1. Determine -4*l(r) - z(r).\nAnswer: -r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -738854, -738852, -738850, -738848?\nAnswer: -738846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -2\/19, 1\/4, 3, -12, 4 in descending order.\nAnswer: 7, 4, 3, 1\/4, -2\/19, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -190379 to the nearest one hundred.\nAnswer: -190400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1041085 != -1041079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -12257, -12244, -12219, -12182, -12133, -12072, -11999?\n\"Answer: 6*m**2 - 5*m - 12258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n = -5*a - 80, -3*n - a = -1760 + 1804 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -27 + 41. Let q(f) be the second derivative of 4*f**3\/3 - 17*f**2\/2 + 10*f. Is q(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8544041.\nAnswer: 11, 67, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 126665239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-9)*y**(-3))**41 assuming y is positive.\nAnswer: y**(-492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 95660725, 95660723, 95660719, 95660713, 95660705, 95660695, 95660683?\nAnswer: 95660669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -a - w + 2 = 0, 4 = -a - 22*w + 18*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 3*l. Let h be p(-11). Let y = h - -60. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 500 is divided by 85?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 21710.496 microseconds to minutes.\nAnswer: 0.0003618416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6796 + -4827. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 191 < 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b = b - 147. Let t = b - 21. Suppose 3*l + 8 - 20 = t. Solve -2*z = -l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d**4\/7 - 915*d**3 + 158166*d**2\/7 + 177396*d\/7 - 329160\/7 = 0.\nAnswer: -2, 1, 26, 2110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7*h**2 - 18*h**2 + h + 6*h**2)*(-6*h**2 + h**2 + 3*h**2) to a*h**3 + b*h**2 + q*h + y + t*h**4 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 8 - 2)*(2 + 3 - 3)*(-3*p + 4*p - 3*p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, h: 6, m: 1, p: 1, s: 2}. Give prob of sequence pmh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 - 3*y + 5. Let g = 18 + -14. Let l be b(g). Suppose -5*s + 65 = -2*j, -4*s - 8 = -j - l. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 32, 2, 0.\nAnswer: 0, 2, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 4*n = 12, -5*v - 21 = 5*n - 6. Solve v = -2*g - 2*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 327*k - 331*k + 9076 = 0. List the prime factors of k.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (17902 + 542*h - 17902)*(-4 + 3 + 4).\nAnswer: 1626*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -37 + 36.95. What is the biggest value in -0.3, 6, y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, n: 1, q: 2, k: 1}. What is prob of picking 2 q and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1118 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: What is the difference between 696597818937 and 0.4?\nAnswer: 696597818936.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 5 - 2)*(1 + 2 - 2)*(-2 - 1 + 4)*(3 - 4 + 3)*(10*r - r - 4*r) in the form i + c*r and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001010 + 10?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -7619, -7677, -7735?\n\"Answer: -58*m - 7561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/2 + 0 + (-176)\/(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(3\/10))\/g**(1\/8)*g**(-5\/2)\/(g**(-24)\/g*g) assuming g is positive.\nAnswer: g**(883\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2 + 48*v - 180.\nAnswer: -3*(v - 10)*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q - 3*q + 3*q)*(0 + 2 + 0) - 3*q + 4*q - 4*q + 3*q - 4*q + 2*q + q - 2*q + 3*q + (-1 - 4 + 2)*(2*q + 2 - 2).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 0*z + 5*y + 103 = 0, -2*z - 4*y = -248. Let n = -307 + z. Let f = n - -412. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 13 = o - 3*v, 4*o - 2*v = 18. Suppose 14 = -3*b + o*b. Let g be b + -17 + 2\/(-4)*0. Put -0.5, 4, g, 1\/5 in decreasing order.\nAnswer: 4, 1\/5, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 64\/825 and 34\/272325.\nAnswer: 2995575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -188 = x - 5*x. Let z = -45 + x. Calculate the least common multiple of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*t - 87 = 77 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {n: 1, w: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4691816 is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 20, -5, 0.2, -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 114263 and 1141?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37912 - -37863. What is the nearest to -2\/3 in 2\/7, q, 3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = -4*x - 5*g, -x = -0*x + 4*g + 12. Let u be (x\/(-6))\/((-1)\/(-6)). Suppose 0*j + u*j = 84. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -3.8. Let i = j + -0.7. Which is the second smallest value? (a) 5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + (5 - 3) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 3 (b) 1.62 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qzzz. What is prob of sequence zzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1149 - 1143. Let n be 0 - (25\/10 - k). Factor -6*q**2 - 2*q + 0 + n*q**3.\nAnswer: q*(q - 2)*(7*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of -r**4 - 3*r**2\/2 + 2*r + 30. Let m(b) = -7*b**3 - 5*b + 4. Give 3*m(j) - 5*y(j).\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 544 is divided by 198?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 516.5915ms to microseconds.\nAnswer: 516591.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 407, 408, 409?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2844 - 55444. What is m rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 37361, -2, 0.5, 30, -3\/5 in descending order.\nAnswer: 37361, 30, 0.5, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in -4, -26, 2\/27, -34\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 21 = -f - 5*p, -2*p = -3*f - 27. Let r(n) = 2*n - 1. Let q(d) = -5 + 2*d + 3*d + 5*d. Calculate f*r(h) + 2*q(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2*s + 12 - 3 + 3. Let f(i) = 2*i**2 + 102*i + 877. Let v be f(-40). What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -1192 (c) -2\/23 (d) -5 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 1.02162129 to two decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the third derivative of -b**7\/35 + b**6\/120 + 5*b**4\/24 - 4*b**3 + 129*b**2. What is the second derivative of g(z) wrt z?\nAnswer: -72*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35197803.\nAnswer: 3, 17, 31, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -16? (a) -9 (b) -4 (c) -1 (d) 0 (e) 1 (f) 3119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18959 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -15480678 divided by 3?\nAnswer: -5160226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (106\/4 + -1)*8\/48?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 289 is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 226045481.\nAnswer: 17, 13296793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 2 = -h, 4 - 7 = -3*h. Let c(j) = 0*j - j - 2*j + 2*j. What is the least common multiple of c(-8) and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45784 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -964742 + 54729. Let y be g\/(-26) + 1\/(-2). Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from caacaaaacaa.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 14) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-31443)\/1561*28\/(-12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 - 1. Let t(i) = -59*i**2 + 8*i - 2*i + 1 + 60*i**q. Let p be 2 - (18\/2 - 1). Determine t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 50988, 50985, 50972, 50943, 50892?\n\"Answer: -y**3 + y**2 + y + 50987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 1\/4*s**2 - 1\/4*s**3 + 1\/4*s - 1\/4*s**4.\nAnswer: -s*(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**3 - h**2. Let y(w) = 2*w**3 - 23*w**2 - 7*w + 4. Let o(r) = r**3 - 17*r**2 - 5*r + 3. Let t(z) = 7*o(z) - 5*y(z). Calculate -2*t(m) - 4*x(m).\nAnswer: 2*m**3 + 12*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -51\/36790 and -61\/143198.\nAnswer: 9307870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 0 - r**2 - 197*r + 60*r + 3 + 68*r + 66*r. Let g(w) = w + 1. What is -f(d) + 4*g(d)?\nAnswer: d**2 + 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -2672722, 3, 13.\nAnswer: -2672722, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = -4*w + w - 17, -p + 7 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g - 16 = -5*m, -12 = 3*m - 5*g + 28 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 8 = -4*q. Let a(v) = -2*v + 18. Let f be a(8). Solve -1 + q = -f*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 2699390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 + 5*a**2 + 2*a + 14. Let t = -2022 + 2028. What is y(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/6 + -2 + 3. Let m be 14\/18 - 1\/1. Let y = 103 + -101. Which is the closest to j? (a) m (b) 7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 329*p - 395*p + 718608 = 0. What are the prime factors of p?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14971469 or -14971523?\nAnswer: -14971523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -314 + 313.99998227. Round h to 7 decimal places.\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1191974 and 15092.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1340 and 5?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4295949.\nAnswer: 3, 7, 31, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y - 10. Let r be 594\/63 - (-3)\/(-7). Let h be q(r). Which is the closest to -2\/5? (a) h (b) 2\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*z - 3*z + 4*z)*(-527 + 579 + 671)*(z**2 + 0*z**2 + 8*z + 3 - 7*z) in the form i*z + w + k*z**2 + x*z**3 and give k.\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 4*g**4 - 516*g**3 - 1572*g**2 - 1580*g - 528 = 0.\nAnswer: -1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*g + 17 - 17. Suppose -3*b - 265999991 = 4*l, g = -2*b + 4*b - 6. What is l rounded to the nearest one million?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 555904159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (932 - 10 + 329)*(-25 + 25 + 15*c) as t + l*c and give l.\nAnswer: 18765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be -50*7\/((-14)\/8). Suppose 5*k = 145 + u. Let b = 104 - k. Calculate the highest common divisor of 14 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 227.1 + 426.9. Which is the second smallest value? (a) r (b) -1\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is e - -38?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2518523 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25611 is divided by 8523.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes before 12:59 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2498444282 is divided by 1535?\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -287*w**4 - 7*w**3 + 5*w**2 + 10709*w + 1 wrt w.\nAnswer: -3444*w**2 - 42*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 + 0)*(t - 3*t + 3*t) + (-2 - 2 + 5)*(0*t - 10*t + 5*t) + 3*t + 0*t - 2*t - t - 1 + 1 + (2 - 2 + 1)*(-t + 3*t - 3*t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l = -6*j - 42 - 22, 0 = 3*j - l + 3241 - 3221 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*f**2 + 0*f**2 - 15*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-5)*q)\/(q**(-2\/7)*q)*(q\/q**(-5))\/(q*(q*(q**(-3)\/q)\/q)\/q)*((q\/q**9)\/(q**(-1\/14)\/q))\/(q*q\/q**(-1\/2))**(-2) assuming q is positive.\nAnswer: q**(47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -1496283 less than -1496287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 50 - (-10 + (-2 - 2) + 11 + 7).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 + 5*j**2 - 3*j. Let z(t) = -t**2 + 8*t - 3. Let d be z(7). Let q be m(d). Suppose -3 = q*w + 1. Do w and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*-1*18*96\/(-384).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 PM and 9:11 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01545082 to 4 dps.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2 + 1)*((-90)\/3)\/6. Let t(l) = -l**3 + 4*l**2 + 7*l - 6. What is t(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1219, -3872, -8295, -14488?\nAnswer: -22451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -211119857\/808 + 261287. What is the common denominator of -41\/1010 and f?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 + 41. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m\/((m*m\/(m*m**(4\/9)*m))\/m))\/m*m\/((m**14*m*m)\/m)*(m*(m**19*m)\/m*m*m)\/m**17 assuming m is positive.\nAnswer: m**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1345 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.1 - -1.1. Let h be (-8)\/(-50)*(-45)\/18. Put h, 3, v in decreasing order.\nAnswer: 3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 4*f - 5*l, 5*f - 2*l + 6 = 8. Suppose 2*g + 3*b - 64 = 0, f = 2*g - 4*b + b - 52. What is the highest common factor of g and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.2 + 2.4. Let c be (-2)\/8 + 5\/4. Is c bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 10*x**2 + 1. Let w(j) = -78*j. Determine w(h(o)).\nAnswer: -780*o**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -229, -209, -181, -145, -101, -49, 11?\n\"Answer: 4*i**2 + 8*i - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 10010 (base 2) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-9*(-1)\/30)\/((-12)\/10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**3 + 0*x**3 + 4*x**3 + (-4*x + 3*x - x)*(-x + 2*x**2 + x) - x**3 + x**2 - x**2 - x - 101*x**2 + 101*x**2 + x**3.\nAnswer: -2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*h*t**4 + 56*h*t**3 - 2*h*t + 326*h wrt t.\nAnswer: 36*h*t**2 + 336*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -510933627 to the nearest one hundred thousand.\nAnswer: -510900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 33932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 235 is divided by 87.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -639, -1181, -1723, -2265, -2807?\nAnswer: -3349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -135080 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, e: 3}. What is prob of picking 1 e and 2 p?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**3 + d**2 - 13*d - 9. Let f(k) = 6*k**3 - 6*k**2 + 66*k + 46. Let u(b) = 3*f(b) + 16*i(b). Let u(p) = 0. What is p?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 323 divided by 17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (0*m**2 + m**2 + 0*m**2)*(-23 + 23 + m) + 2*m**3 + 2*m**3 - 2*m**3 + 0*m + m**3 + m**3 + 3*m as v*m**2 + i + j*m**3 + z*m and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22 + -13. Let v(m) = -z*m - 3 - 5 + 29*m. Let y be v(7). What is the highest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + (-4 + 14 - (115 + -101))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2*-766*6\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n - 57 = -105. Calculate the least common multiple of 11 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the first derivative of s**5\/20 + s**4\/2 + s**3\/6 + s**2\/2 - 3*s + 3. Let r(c) be the first derivative of a(c). Calculate r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 - 113?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 + 3 + (35 - 1). Solve -5*y + q = 4*w - y, 3*y = -5*w + 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2307*r**3 + 3*r**2 + 5*r. Let a(v) = -2308*v**3 + 4*v**2 + 7*v. What is -3*a(m) + 4*i(m)?\nAnswer: -2304*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -122092 times -96.8\nAnswer: 11818505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:46 AM and 5:31 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.024 + 0.034. Let i = v + 2.902. Let d = -0.04 - i. Which is the biggest value? (a) d (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*p = -3*q + 83*p - 21, 0 = 3*q - 2*p + 33 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 86 = 5*m + 580, 394 = -3*m + 2*t. What are the prime factors of m\/(-4)*(10 + -4)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 908023 and 33723.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + r = -3*r. Let k(w) = 2*w**2 + 3*w - 2. Let x be k(-3). Let f = -5 + x. Solve r = -4*i + 14 - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/77*((-42)\/(-63) + -3)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 + -39. Let o = 31 + j. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 560644180 and 2477.\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 9543*z**2 - 9576*z + 31. Give t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3 - 6*c**2 - 16*c - 12. Determine j(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 38235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-173)\/346)\/((-44)\/16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2031 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 303 (base 14) to base 10.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1121 divided by -1?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5630250, 11260471, 16890656, 22520787, 28150846?\nAnswer: 33780815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 25*r**2 - 2*r - 14*r**2 - 4*r + 3*r + r**3 - 8. Let w be u(-11). Suppose -w*l + 24*l = -45. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 5*c - 2*n - 35, 2*c - 2 = -4*n. Suppose -c = -v - 2. Let m = -12 - -25. Calculate the remainder when m is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u**(-1))**(2\/43)*u**(3\/5)\/u**(3\/5))**(6\/7))**(1\/4) assuming u is positive.\nAnswer: u**(-3\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, m: 7, f: 5}. What is prob of picking 1 m and 1 w?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1544581 - -6.\nAnswer: -1544575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*u**2 + 0*u**2 - 9*u**2 to q*u**2 + j*u + t and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 0 + 6 - 3 - 1 - 1 - 3 + 3 + 0 - 3 + 2 + (1 - 1 + 1)*(1 + 0 + 1) - 5 + 2 + 1 + 3 + 0 - 1 + 1 - 3 - 1)*(4*r**3 + 18*r - 18*r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -43541558 divided by 67?\nAnswer: -649874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the second derivative of 43*v**3\/6 + v**2 - 45*v + 1. Let k(m) = 303*m + 15. Let r(s) = -15*j(s) + 2*k(s). Let w(g) = g**2. Calculate w(r(d)).\nAnswer: 1521*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5912 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:01 AM and 5:21 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 13939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -5780195 divided by -9?\nAnswer: 5780195\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 190052550 and 221727975?\nAnswer: 1330367850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 33 (base 8) to base 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -1. Suppose -3*p + 32 = 2. Suppose 0 = 5*m - 5*l - p, 4*l = 5*m + 5*l + 20. Let q(y) = y + 4. What is m*w(t) - q(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -195 - -276. Suppose 0 = -3*k - 2*k + 105. What is the remainder when m is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*a**2 + 3*a**2 + 5*a**3 - 1 + 11*a**2 + 0*a**2 to s*a**2 + m*a**3 + h*a + q and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*i, -2*p + 3*i + 17 = 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 72784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 1, v: 1, s: 2, w: 1, g: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 5*x - 1. Let t be j(1). Suppose p + t = -6. Let l = p - -5. Which is the third biggest value? (a) -2\/3 (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -1949.\nAnswer: -1\/1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.34? (a) -304\/2347 (b) -4 (c) 2 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 28*1\/2 - 3. Let l = i - 14. Let b be 0 - (-1)\/((-3)\/l). Solve 2*c - b = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3772 bigger than 21256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n - 4945841 + 4945841.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23\/3 - 6. Let l = -5.3 - -11.4. Let n = l + -1.1. Which is the closest to -0.1? (a) s (b) 3\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 + 8. Let n = -4 - z. Suppose n*l - 86 = -d + 3*l, 4*l = 16. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 168.8 - 212. Let c = i + 48. What is c rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11498 = 14*t - 11512 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*w - 15*w - 52, 0 = 4*m - 4*w + 40 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6401423 millennia to centuries.\nAnswer: 6.401423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 5, i: 3, w: 3}. Give prob of sequence wn.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -1) + -8 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1861081227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 - -25. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 2:40 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 3*j = 7, 6*l + 5*j = l + 85. Solve l*f - 85 + 129 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o - 61 = -3*v - 2*o, -4*o - 48 = -4*v. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -5. Let i be (-30)\/(-3) - z - 3. Find the third derivative of -3*g**i + 2*g**3 - 2*g**3 - 3*g**2 + 0*g**2 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19.76 + 20. Let j = -0.29 + o. Put 3, j, 4 in ascending order.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 20011279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4441037273?\nAnswer: 367, 1801, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -20.022 + 0.222. Let l = -19.80000077 - c. Round l to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8758592 and 3837?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 9734517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -8*l + 9. Let z be g(1). Let f = 58 - 56. Suppose -f*x - 2*x + 8 = 0. Solve -x*s + 1 + z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*l**2 - l**2 + 11*l**2)*(-4 + 2 + 4) + 0*l**2 - 4*l**2 - l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve i - 2*n = -58, 3*n - 2*n = i + 43 + 17 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 285871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 63 + -63.53. Let p = x + 0.18. Let t = p + 4.35. Put 0.5, 5, t in ascending order.\nAnswer: 0.5, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -4*z - 14, -40 = -5*k + 23*z - 17*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*j + 3*y + 112363 - 112317, 6*y + 57 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/10 and -79\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 58906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.032 - 0.322. Let m = -5.29 - o. Let t = 2\/21 - 3\/7. Which is the third biggest value? (a) m (b) 2\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -4*t + 3. Suppose 3*c - 24 = -0*c. Suppose 0 = -0*a - 4*a, 4*g - c = -3*a. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, u: 2, t: 6, f: 2, s: 3}. What is prob of sequence ftm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**2\/5 - 93854*m\/5.\nAnswer: 2*m*(m - 46927)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16306.\nAnswer: 2, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 526289898427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v = 2*y - 3*y + 5, 5*y + 20 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -318160746*y**4 - y - 29082647?\nAnswer: -1272642984*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12*(-5 - (-252)\/16) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (8\/(-5))\/(-2*3\/4410)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -682\/5 + 136. Let r = -1 - -5. What is the closest to z in 2\/7, r, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 14.6 + -15. Let o(k) = -k**3 - 4*k**2 - 2*k - 2. Let n be o(-4). Put n, m, 0, -0.5 in ascending order.\nAnswer: -0.5, m, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-15)\/(-21)*(-8)\/8\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.79 - -5.384. Let g = w - 0.59839. Round g to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, x: 6, t: 1, d: 1, b: 3, y: 2}. What is prob of sequence btd?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 g, and 2 n when four letters picked without replacement from {e: 3, n: 4, g: 1, a: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 16277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 5, x: 8}. What is prob of sequence wxw?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, p: 3, s: 2, u: 4, e: 1, j: 8}. Give prob of sequence ssr.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is (14032214\/77 - 3) + 18\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/15, 0, 3, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence km when two letters picked without replacement from {y: 1, k: 2, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 12597384 by 6.\nAnswer: 2099564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the third derivative of -i**5\/15 - 38*i**2. Let o(a) be the third derivative of -a**4\/24 + a**2. What is y(o(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f + 29. Determine u(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-20)\/(-15))\/(((-16)\/(-108))\/(40\/(-24)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from jzzjzjzzzzjzzjujzuz.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 82571840 and 103214800?\nAnswer: 412859200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -7. Let c = q - -7. Is (-2)\/c - 616\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-3228))\/((-58)\/80 - ((-15048)\/(-220) - 69))?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the first derivative of w**4\/4 + 2*w**3 - 3*w**2 + 3*w - 5. Let t(p) = 2*p**3 + 22*p**2 + 2*p - 21. Let c be t(-11). Let d = c + 36. Determine x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffffrffr. What is prob of sequence ffff?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6 - 0) + 660\/60. Let x be -2 + 3 - (31 - 0). Let y be (((-15)\/2)\/o)\/(9\/x). Solve 2*l = -y*c + 4*l - 20, -c - 4*l = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.73 + 1030.73. Let f = -1029.04452 + l. Round f to three dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -205, 115 in descending order.\nAnswer: 115, -9, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -149*w + 151*w - 8. Suppose 3*q = -2*m + 2440 - 878, -2596 = -5*q + w*m. What is the lowest common multiple of 10 and q?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3375113548.\nAnswer: 2, 843778387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, 2\/367, 0.1, -102?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 - 14*u - 34. Let z be g(-11). Which is the closest to z? (a) 3 (b) -1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.08, 21, -5\/39?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 30399\/2 or 15201?\nAnswer: 15201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/975302 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:12 AM and 1:15 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t**3 + 17144*t**2 + 62107698*t - 62124840 = 0 for t.\nAnswer: -2745, 1, 11316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -10.21 rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*y = 6 - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.13, -0.02, 2, -12\/19 in increasing order.\nAnswer: -2.13, -12\/19, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 6.421795t in milligrams?\nAnswer: 6421795000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2114*i + 4379. What is the remainder when 13133 is divided by l(2)?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((23569\/(-148))\/49)\/(1\/4))\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*x**2 - 34*x**3 + 18*x**2 - 2232*x**4 + 2234*x**4 in the form g*x**2 + s*x**3 + k*x + f*x**4 + z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + r = 4. What is the least common multiple of 3120\/108 + (-1)\/(-9) and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*m - 55*m - 4*m - 53*m to b + k*m and give k.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3593 - -5271. Is 87 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 36, -1, -7696, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 58.4479 - 11.3289. Let v = 0.119 - f. Which is the biggest value? (a) v (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - 47 = -4*j + 5*m, -3*j - 5*m + 44 = 0. Let q = -152 - -217. Calculate the greatest common divisor of q and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-50))\/((-232)\/(-9280))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -18.9 times -91.94\nAnswer: 1737.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 4*v = -5, -3*f - 44*v + 42*v - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 3*h - 12658 = 0, 13*j - 11*j = 4*h + 12616. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 4 = 2*g. Suppose -5*a = -0*r - g*r - 197, -5*a = -3*r - 308. Let v = r + 199. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 382954006 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 110502.4 decades in years?\nAnswer: 1105024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 454 - 37. Suppose 3*l - 3 = 9. Is 26 a factor of q\/l - 4\/(-4 - -20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 13 = 2*v + 5*d, 4*d - 32 = -4*v. What is the common denominator of 137\/54 and (-1 + (-50)\/v)\/(-9)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81897692?\nAnswer: 2, 2917, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -11*a - 1. Let q(d) = -d**3 - 10*d**2 - 7*d + 5. Let g be q(-9). Let l(k) = 5*k. Let z = 85 - 91. Let c(y) = g*l(y) + z*b(y). Determine c(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of c**6\/1440 - c**5\/10 + 6*c**4 + 103*c**3\/3 + 83. Let p(g) be the third derivative of f(g). Factor p(a).\nAnswer: (a - 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:51 AM and 6:49 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -5 + -11 + 24\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 3*a + 6*k - 18, a = 4*k - 11. Let s = 1\/2289 - 4703\/286125. Let h = s - -52\/125. Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18886489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -25 + 17?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*a**5\/9 + 227*a**4\/9 - 991*a**3\/9 - 382*a**2 - 104*a = 0. Calculate a.\nAnswer: -2, -3\/10, 0, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*s = 6*s + 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -18035199080 rounded to the nearest 1000000?\nAnswer: -18035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -69279 divided by 14369?\nAnswer: -69279\/14369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16 - 16 + 11*p**3 - p**4 - 17*p**3 - 2*p**2 - 4*p - 5*p to d*p**4 + h + t*p**3 + a*p + l*p**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3\/4 + 10783*f**2\/4 + 2694*f - 16173.\nAnswer: (f - 2)*(f + 3)*(f + 10782)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 62 + -56. Let i be z - (-4)\/(-8)*4. Determine p, given that 2\/19*p**3 + 0*p**2 + 0*p + 0 + 2\/19*p**i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12.21687 + 0.21687. What is the closest to -32 in 2, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -7*q - 10 + 20 - 4 - 4. Let t(k) be the second derivative of -k**4\/4 + 4*k + 6. Give p(t(f)).\nAnswer: 21*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -29237 + 29205 + 14 + -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 4*n = 13 + 7, -5*n = x + 16. Suppose 2*q = -q + 4*i + 171, -q + 65 = -x*i. Suppose 427 + q = 5*u. Calculate the greatest common divisor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 403 (base 6) to base 2\nAnswer: 10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 15107\/21 - 15089\/21. What is m in -3\/7*m**4 + 36\/7*m**2 + f*m**3 + 15\/7 + 6*m = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1275861 is divided by 98133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 2899000 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 2 = -3*o, -4*r + 5*o - 10 = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is r in -r**3\/7 - 2680*r**2\/7 - 8033*r\/7 - 5354\/7 = 0?\nAnswer: -2677, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 39 = -3. Suppose -102*p + 238*p - 30186 = 97*p. Calculate the highest common divisor of p and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -29.06 + 29. Let i = y + -4.34. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l**2. Let g be 2 - (-1 - 3) - -3. Let r(z) = g*z**2 - 23*z**2 + 15*z**2. What is k(r(j))?\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 37173045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, w: 3}. What is prob of sequence ww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -2*b + 8, x - 5*x - 20 = -5*b. Sort 4, x, -31, -1 in descending order.\nAnswer: 4, x, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1205*y - 1181*y = 480, -80 = -4*v - 5*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3223 + 2?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaeap. What is prob of sequence paae?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*u**2 - 585*u - 4779.\nAnswer: -3*(u + 9)*(2*u + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and 1.09.\nAnswer: -0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**2 + 70*y - 298. Let u be v(-74). Which is the third smallest value? (a) 1 (b) -4.7 (c) 0.3 (d) u (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b**3\/7 - 9*b**2\/7 + 2*b + 24\/7 = 0. What is b?\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 18\/72*(-8 + 84). Calculate the greatest common divisor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 984135, 1968266, 2952397, 3936528, 4920659, 5904790?\n\"Answer: 984131*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*o + 9*o + 18 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40490 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3808954614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 - 21*t**2 + 26*t. Let u be g(20). Let p = 213 - u. Suppose -y + p = -k - k, -2*y + 183 = -k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 - -1782838373837.\nAnswer: 1782838373836.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 131, -3, -2 in descending order.\nAnswer: 131, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u**(-9)*u*u**(-3)*(u**(-6\/5)\/u)\/(u*u*u*(u*(u\/u**(-9))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 + -2. Suppose -4*j = s - c, -2*j + 21 = -0*j - 3*s. Suppose -n = j*l - 49, 2*l - 37 + 1 = -4*n. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**3*r**(-1\/2)*(r**(-1)\/r)\/(r\/(r\/r**(-1))))\/((r*r\/((r*r*r**7*r)\/r)*r)\/(r*r*r**(-2\/9)*r*r))**46 assuming r is positive.\nAnswer: r**(8123\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -4*p - 9*q + 4*q, 2*q + 12 = p. Calculate the remainder when 53 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 48, 98, 148, 198?\n\"Answer: 50*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 842616 is divided by 751.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.31 (b) 3\/7 (c) 0.2 (d) 0.3 (e) -5 (f) -2.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**2 - s + 5. Let b be m(0). Suppose b*q - 205 = -5*g, -g - 39 = -q - 0*q. Suppose -2*j = 2*j - q. Solve -4*f = -9*f - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 58*((1740\/(-4930))\/((-16)\/34))\/(3 + 0).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 379, 377, 375?\n\"Answer: -2*b + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 119 - 115. What are the prime factors of (-6)\/n*(-20878)\/39 - 5?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:57 PM and 7:40 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 + 81 = 5*q. Suppose 2*x + 0*x = 0. Let i be 0 + x + -1 + 3. Solve -7*j = -i*j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 + (53 - 77 - 56)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 3*s - 40 = 0. Let f(g) = -2*g**2 + 3*g**2 + 7*g + 8 - 2*g**2. Let p be f(s). Sort 2\/7, 2\/11, p in descending order.\nAnswer: 2\/7, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes before 2:30 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/630*9*4\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6860?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3.04 - -0.04. Let i = -3.0015 - d. What is i rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -46705 or -46657?\nAnswer: -46657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-122)\/(-61))\/((-6)\/(-9)). Let j(a) be the first derivative of 1\/8*a**4 - 2 + 1\/4*a**2 + 0*a - 1\/3*a**t. Determine f so that j(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10.7, -0.5, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 268 + -154. Let p = -1531.4 - -1417. Let h = p + f. Which is the third biggest value? (a) 1\/2 (b) h (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50434 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2.1*-3941\nAnswer: 8276.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10.419 - -6.419. What is the nearest to 1 in 1\/8, t, 1184?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -17\/5, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(13) + (sqrt(208) + 2)**2 + sqrt(13) - (sqrt(52) + -3)).\nAnswer: 16*sqrt(13) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 6:58 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 56 - 54. Let h(r) = 16*r**3 - r**2 + 6*r - 4. What are the prime factors of h(m)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90*d - 869167 = -49*d. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-153*s**3 + 2347*s - 2347*s)*(3 - 3 - 2)*(-7 - 4 + 2)*(2 - 2*s - 2) to the form r*s**4 + l*s**3 + f + g*s**2 + n*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - 80a8?\nAnswer: -80ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -24 + -7.5.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 10 - 13 = -5*x, 2*f - 22 = -4*x. Let v(z) = -z. Let i be v(f). List the prime factors of 6 - (i\/(-3) - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1183330 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*i**4 - 110*i**3 - 165*i**2 - 100*i - 20 = 0 for i.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*2*sqrt(136) - 2*-2*sqrt(136))*3)\/((1*2*sqrt(96))\/(sqrt(48)\/(sqrt(16)\/sqrt(4)))).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 31 = -5*h, -2*j - j = -2*h + 16. Suppose h*p - 3700947 = 3536818. Let v = -957553 + p. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -30*v + 32*v - 6266. List the prime factors of v.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 672 and 5544.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g + 9. Suppose -9*z + 25 = -4*z. Let v be t(z). Suppose 4*p - 48 = -16. Solve -4*j - p = 5*l, v*l - 2*j - 4 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -136*z + 812. Let i be v(6). Sort 0.01, -2\/7, 2\/15, i, 5.5 in descending order.\nAnswer: 5.5, 2\/15, 0.01, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k = 4*q + 38, -q + 3*k - 106 = -119 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(-6)\/(-12)*(-16)\/56*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -0.01\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-112)\/(-84) + (-38)\/42 - 3\/21. Let g = -10 + 5. Put f, -0.4, g, -3\/2 in descending order.\nAnswer: f, -0.4, -3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -19 + (-20 - -3) + 30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 4658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.07 + -0.77. Let j = -0.9 - q. Let o = 0.1 - j. Put o, 1\/2, -2 in ascending order.\nAnswer: -2, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 39 - 20. Suppose p - 5*a = -a + 19, a + d = 5*p. Suppose -144 = -4*n + 4*x, -x + 1 = p*n - 111. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -136*b. Let u(m) = 3*m**2. What is l(u(n))?\nAnswer: -408*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2 - 11*a + 15. Let b be m(-12). Let f(x) = -x**3 + 7*x**2 - 3*x - 3. What is f(b)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v and 1 h when four letters picked without replacement from vvllkhvpkkc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 4*h + 340, -7*a + 4*a - 2*h + 251 = 0. Suppose 3*w - a = 192. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-2 + -170)\/(-4))\/1.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -36 + 28 + 12*a**3 + 2 + 6 + 3*a**2.\nAnswer: 12*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*s + 40*s - 1811883. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5542 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 18553 or 18555?\nAnswer: 18555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 305 = 2*s + 5*g, -3*g = -s + 69. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101943 is divided by 354.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 PM and 12:35 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 96705, 97514, 98853, 100716, 103097, 105990, 109389?\nAnswer: 113288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 9*s**2 - 6*s + 5. Let f(v) = v**2 + 2. Let c(i) = -6*f(i) + q(i). Let b be c(-1). What is the highest common divisor of 16 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-3)*2775\/1400*-7.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1674)\/(-57753))\/((5\/(10\/2))\/((-1)\/1)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**3 + 21*c**2 + c - 17. Let p be z(21). Suppose 40 + 144 = p*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -10*p**3 - 4*p**2 - 2*p + 1. Let x be h(-4). Suppose -31*z + x = -624. What is the remainder when z is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 2*b**3 + 10*b**2 - 2*b - 10. Let c be h(-5). Suppose -k - 29 - 34 = c. Let a = 143 + k. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -684, -1374, -2064, -2754, -3444?\n\"Answer: -690*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add -0.0542333 and -0.6472.\nAnswer: -0.7014333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -3*m**2 + 38*m - 26. Let l(k) = -2*k**2 + 25*k - 17. Let c(o) = 5*h(o) - 8*l(o). Determine c(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, 0.5, -0.06 in increasing order.\nAnswer: -21, -0.06, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/(-4)*(-40)\/(-30). Let o(p) = -3*p + 16*p - 9*p - p**d - p**3 - 1 + 4*p**2. Determine o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(320))\/(sqrt(4) - (sqrt(192)\/sqrt(4))\/sqrt(12) - sqrt(4)))**2 + (5*-2*sqrt(320) - ((sqrt(320) + -1)*-3 + sqrt(320))))*-4.\nAnswer: -1268 + 256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 69*v**4 + 7794*v**3 - 165753*v**2 + 1002618*v - 1732104 = 0.\nAnswer: -132, 3, 162\/23, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together -3 and 1.49.\nAnswer: -1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 132286 + -80402. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, o: 2, f: 2, y: 1, r: 1, l: 1}. What is prob of sequence arl?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (1*9\/15)\/(((-48)\/56)\/(-2))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1.2 times 9\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 373081955.\nAnswer: 5, 29, 439, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 589 and 228118.\nAnswer: 134361502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2409123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 2*u**2. Let q(o) = 19990*o**2 + 136*o. Determine q(n(h)).\nAnswer: 79960*h**4 + 272*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 45, 100, 205, 372, 613, 940, 1365?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32003*g**2 - 16167*g**2 - 15841*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 5, a: 4, h: 2}. Give prob of sequence af.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 1 = 65. Find the common denominator of 2270\/(-3300) + (-2 - (-32)\/t) and 12\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + 11 - 16 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 - -3. Suppose 7 + 14 = -7*g. Let o be (39\/(-26))\/(g\/4). What is the third smallest value in o, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -452, -454, -456, -458, -460?\n\"Answer: -2*a - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1465.09 - 1471. What is a rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59821709 + -5.\nAnswer: 59821704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -3*c**3 - 30*c**2 + 3*c + 30 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 13122\/(-972) + (-34)\/4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -69*n - 879 = -12*n + 546 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 324.204 years to millennia.\nAnswer: 0.324204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 8*p**2 + 2*p - 7. Let n be l(-7). Find the common denominator of (2\/n)\/((-8)\/2020) and -49\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -2*x**2. Let c(n) = 6. Let d(i) = 1. Let t(q) = c(q) - 5*d(q). Let j(z) = -2*z + 3. Let g(l) = -j(l) + 3*t(l). Calculate g(w(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (2*-178639*(43 + -42))\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*26.4.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5 + 14. Let a be (1\/3)\/((-2)\/6). Let i(h) = -16*h + 1. What is the remainder when i(a) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of k**5\/20 + 5*k**4\/12 - 4*k**3 - 3*k**2\/2 + 8*k - 1. Let x be r(4). Calculate the highest common divisor of 405 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) 2\/17 (c) -0.2 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 74\/19 or 3?\nAnswer: 74\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*v + 6*v + 57*v - 52*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 3684*v. Let r(f) = -3*f**2 + 107*f. Give k(r(m)).\nAnswer: -11052*m**2 + 394188*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1 and 65\/8043426?\nAnswer: 8043426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of r**3\/6 + r**2 - 4*r - 4. Let k(c) be the second derivative of -c**2 + 2*c. Give 4*k(h) + 3*y(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231 is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 4*w = 31. Let k = w + -20. What is the remainder when 19 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*x - 16*x = -23*x + 999984. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 + 5)*(2*p**2 - 3*p**2 - p**2) + 3*p**2 - 4*p**2 + 0*p**2 + p**2 + 0*p**2 + 0*p**2 + 0*p**2 + 0*p**2 + p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(1539) - sqrt(19)) + sqrt(228)\/(sqrt(48)\/sqrt(4)).\nAnswer: 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/30*(-3 - 0). Let w be (-3)\/(36 - -3)*(-22802)\/6139. Which is the biggest value? (a) -2.7 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 5*z + 1 = 0, -5*z + 163 = l. Calculate the greatest common factor of 492 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 89521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -13525, -54150, -121857, -216646, -338517, -487470, -663505?\n\"Answer: -13541*z**2 - 2*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -13*o - 11. Let m(h) = 20*h + 17. Let z(j) = 6*j**3 - 2*j**2 + 1. Let l be z(-1). Let a(b) = l*t(b) - 5*m(b). What is the derivative of a(f) wrt f?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + 10319108048.421.\nAnswer: 10319108056.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -21620000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 3933 - 83*s - 41*s - s**2 + 3*s**2 + 124*s in the form w + o*s**2 + p*s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.901517 * 0.5.\nAnswer: -0.4507585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 + 39*m**2 - m - 252. Determine x(0).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 35, 0.1, 2\/17 in decreasing order.\nAnswer: 35, 2\/17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1495742 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 121 - (135 + (-235 - -140)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 280 is divided by 229?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2002, 4015, 6054, 8125, 10234, 12387, 14590?\nAnswer: 16849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rx when two letters picked without replacement from {x: 12, r: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes before 5:49 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(125) + -1)*-4 + (sqrt(125) + -1)*2.\nAnswer: -10*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 3\/4, 2\/7, -9, -6\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(10) - (sqrt(810) - sqrt(10))))\/(sqrt(200) - (sqrt(200) + sqrt(200) + sqrt(200)*2)).\nAnswer: 14*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2e0 (base 16) to base 12\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(1008) - (sqrt(1008)*-1 + sqrt(1008))).\nAnswer: 3 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*j**3 - 323*j**2 + 306*j**2 - 8*j**3 - 10*j**3.\nAnswer: -3*j**3 - 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of -3*r**4 + r**3\/3 - 6. Find the third derivative of a(j) wrt j.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of 0 - 1\/2*u**3 - 2*u**2 + 0*u - 9\/8*u**4. Does 39 divide d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 0*p - 2*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -u**2 + 16*u - 12. Let r be i(15). Solve 4*q + 2*o = -6, -r*o + 8 + 10 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 2*o**2 + 2 + o - o**2 + 0*o**2 - 7. Suppose -2 - 3 = a. Let u be k(a). Calculate the greatest common divisor of 60 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1621, -3258, -4895, -6532, -8169?\nAnswer: -9806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 3*l - 2. Let i be t(3). Let x(b) = 9*b - 35. Let o be x(4). Solve 3*g + o = i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -5*((-23)\/46 - (-106)\/(-4)). What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 + 136*a**2 + 126*a - 1217. Determine s(-135).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 314 = 6*b - 82. What is the remainder when b is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7155 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xllmlmmmxxll. Give prob of sequence lmml.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v - 3*v + 5*y + 4865, 0 = -4*y - 16. What is the remainder when 3*(-2)\/(-36) + v\/18 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -72 - -73.8. Let n = 45181 + -45182.80002. Let a = k + n. Round a to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes before 12:13 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**2 - o + 2. Let a be d(2). Let l = -10 + 13. Let c be 31\/l - (-2)\/3. Let h(s) = 5*s - 4. Let p(q) = 14*q - 11. Determine a*p(n) + c*h(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72676934?\nAnswer: 2, 11, 1709, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -1*(0\/2 - 89) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 PM and 10:52 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*(r**(-1\/3)\/r)\/r)\/r**(-6))**4*((r*r\/r**(2\/9)*r)\/(r\/(r*r\/r**(-2\/3)*r)))\/(r\/r**(2\/9)*r**(1\/6)*r) assuming r is positive.\nAnswer: r**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 90, -3, -1 in descending order.\nAnswer: 90, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 117647, 117662, 117667, 117662, 117647, 117622?\n\"Answer: -5*g**2 + 30*g + 117622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xtk when three letters picked without replacement from jxtktxppg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are -323 and -324 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -960961\/298 >= -3226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**2 - 9*i - 19. Let s be w(-6). Let x be (2 + -6 + 3)\/(s - 0). Let g = -2 + 5\/2. Which is greater: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**2 - 2*t + 8. Let h(v) = 3321*v**3 - 18*v**2 - 36*v - 7638. Let q(s) = 18*d(s) - h(s). Find the first derivative of q(f) wrt f.\nAnswer: -9963*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-17 + 17 + 3*a**3 + a)*(3*a - 10*a - 13*a) + 6*a**4 - 5*a**4 - a - a to f*a**2 + z*a**3 + p*a**4 + x + h*a and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - 1)\/(-9 + 7). Suppose 0 = f - p*f. Solve f = -4*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.113 * -4.\nAnswer: 0.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 385402531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from ttoztovtoz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 122924 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1022021 + 2222?\nAnswer: 1102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -25709\/4329 + 24\/481. Find the common denominator of -43\/33 and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((-1)\/(5\/5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 186 - 185. Is a greater than or equal to -301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -2*k**2 - 107*k - 1205. Determine g(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 31768 by 11.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -4 + -6 + 9 + -1 + 8 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 8296101*i. Let s(h) = -h. What is v(s(m))?\nAnswer: -8296101*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 123, 465, 1073, 1977, 3207, 4793?\n\"Answer: 5*z**3 + 103*z**2 - 2*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 533*w**3 + 487*w**3 + w + 18 - 5*w - 282*w**3 - 8*w**2. Let g be z(13). Round g to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 304959 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28348 - 10538. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xoa when three letters picked without replacement from kadkkkxkokkoxixkiik?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 164 take away 44245991?\nAnswer: -44245827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -19*x**2 - 16*x. Let m(c) = 45919*c. Calculate m(s(a)).\nAnswer: -872461*a**2 - 734704*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720) + -1 - sqrt(605)*1) + 2.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -q - 236, l = q + 2*q + 50. Suppose 11 = -4*h + l. Let u = -375 + 380. Solve -2*x + 2 = -3*j, 4*j - h + 0 = u*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3285\/(-1460)*24\/30.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 577 - 403. Let v = 297 - u. What is the remainder when v is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**2 + 51*h - 541. Let z be s(15). What is the nearest to -9.3 in z, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 0*u + 0 - 4\/7*u**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w - 10. Let i be (-4)\/14 + (-328)\/28. Let u be o(i). Suppose -3*l = -u*l - 112. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -56*a - 714. Give p(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 + 10*d**2 - 9*d. Let u be v(8). Suppose -3*z - 2*b = u, z + 24 = -2*b - 0*b. Let q = z - -18. Solve -q*p = -0*p + 2*n, -p - 3*n - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes after 3:15 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2438146*x - 5604290?\nAnswer: -2438146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add together -11 and -0.05319.\nAnswer: -11.05319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wtwwtww. Give prob of sequence tt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the second derivative of -b**4\/30 + 52*b**3\/5 - 6084*b**2\/5 - 203*b. Factor f(v).\nAnswer: -2*(v - 78)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 3*p + 495 = 579, 3*f - 63 = 4*p. Solve 0 = -0*s + 4*s + 5*j - f, 4*s + 4*j - 16 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 596748 is divided by 4293.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -242 + 232. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1\/7)\/(z**(3\/13)\/z))\/(z*z**(-7\/3))**(-3\/34) assuming z is positive.\nAnswer: z**(787\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16.3 + 12.3. Which is the nearest to -11? (a) o (b) -1\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -67 - 94 + 2*i - 41 + 156 to the form k*i + x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 16*c**4 - 5*c**3 - 31. Let u(o) = 48*o**4 - 14*o**3 - 92. Let d(r) = 14*b(r) - 5*u(r). Differentiate d(s) wrt s.\nAnswer: -64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 164\/2923?\nAnswer: 164\/2923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -66 divided by -7546749?\nAnswer: 22\/2515583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11944 divided by 1.\nAnswer: 11944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, -5, 640 in decreasing order.\nAnswer: 640, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 2*x + 6926. Let r(s) = -4. Give -5*r(u) - z(u).\nAnswer: -2*u - 6906","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 32, 4, 0.5, -1 in ascending order.\nAnswer: -1, 0.5, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -4*d + 5*d. Suppose -108 = -5*v - 2*m, -3*m + 49 = d*v - 58. What is the remainder when v is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*u - 346773 = -88*u. List the prime factors of u.\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 4*p**4 + p**4 + 3*p**4 - 4*p**4 + p - 2*p**3 to b + g*p + h*p**2 + q*p**3 + c*p**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.020142959 to 4 dps.\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2*n + 1)*(n - 3 + 3) + 43*n - 29*n + 5645*n**2 - n - 13*n to u*n**2 + w + j*n and give u.\nAnswer: 5647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 4*c + 226, 343 = 3*i - 5*c - 29. Let f = -68 + 96. Suppose -3*q = -f - i. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7130.70245 rounded to the nearest 10?\nAnswer: 7130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3\/59243 + 20557393\/1421832. Let o = 43\/3 - q. Let w = 0.28 + -0.08. What is the biggest value in o, -0.02, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -154 + 385. Calculate the greatest common divisor of 42 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*j*z**2 - 2*j*z - 150132241*j - z**2 - 184774*z - 2 wrt z.\nAnswer: 6*j*z - 2*j - 2*z - 184774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6316 at least as big as 6191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1771343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - 4342440?\nAnswer: -4342430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 + y**2 - y - 1. Let a = 363 + -365. Let m(j) = -2*j**2 + 2*j + 2. Give a*s(f) - m(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 22 divided by -60803?\nAnswer: -22\/60803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 73 = 3*o, -2*x + 9*o - 7*o = -68. Calculate the remainder when 97 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (-5 - 0))\/(351\/(-1170))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -2*q - 1. Let g be o(-4). Let s = -2 + g. Suppose -3*m - 3*u = -24, -4*u - 15 = -2*m - s. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hpi when three letters picked without replacement from iph.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33829 + -33834. Sort -0.5, -4\/9, -11\/9, n in decreasing order.\nAnswer: -4\/9, -0.5, -11\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.004758 to four decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 1593508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1059997 - (-2)\/(2\/3). Suppose -u = 3*o - 5*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 122042 (base 5) in base 8?\nAnswer: 11047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 389 divide 47693734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -49, -80, -85, -70, -41?\n\"Answer: -d**3 + 19*d**2 - 81*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 + -2 + 1\/1. Let w(p) = p**3 - 2*p + 3. Determine w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 2*f - 58 = 0, -2*f = 1 - 9. Suppose i - n = -28. Put -2, i, -3, -1 in ascending order.\nAnswer: -3, -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*l**6 + 3*l**2 - 33*l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 8*c + 0*c)*(-c + 0*c + 2*c) + 2*c**2 + 0*c + 0*c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 42*b**2 + 8. Let k(d) = -462*d + 62. Determine k(n(o)).\nAnswer: -19404*o**2 - 3634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 14*d = -12*d - 10, -2*d + 20 = 3*p. Suppose 18 = 3*t - 21. Suppose -t = -p*u + 27. Solve 0 = u*w - 0*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(200)*2 + sqrt(18)\/sqrt(36))*5 + 6*(4*sqrt(98)*-3 + sqrt(98)))*4)**2.\nAnswer: 4135688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 51\/847 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 8470*i - 8465*i = 35, -u + 2*u - 4*i = -27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2245, 5908, 12021, 20590, 31621, 45120, 61093?\n\"Answer: y**3 + 1219*y**2 - y + 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the first derivative of 11*z**3\/3 - 15. Let y(w) = -2*w**2. Determine r(y(d)).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1440\/9000)\/(108\/24975).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 - (0 + (2 - -3)). Suppose 8*h + 0 = 40. Sort h, -2, f in ascending order.\nAnswer: f, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (d + 2*d - 70*d)*(-55*d**4 + 8*d**4 - 2*d**4).\nAnswer: 3283*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 1\/2 (b) -13 (c) -0.02 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 37, 15, -77, -239, -471?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from yyycooqyyyycqyooyqoy?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k + 11 = -2*g + 7*g, 3*g = -5*k + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 388, 731, 1074, 1417?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*y + y + 4*y + (65 + 225 + 88)*(-y + 7*y - 4*y)*(-4 + 2 + 0) to the form o*y + u and give o.\nAnswer: -1511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/(-8)*2\/(-6) - (-501)\/(-7348). Suppose 2*v + 2*v = 92. Let p = -181\/8 + v. Which is the fourth biggest value? (a) 0.4 (b) p (c) q (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j - 6, 2*u + 2*j = 3*j - 13. Let s(i) be the first derivative of -5*i**2\/2 - 2*i - 1. Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lrrtnzzrrzrtlta. Give prob of picking 1 r and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**2 + 20*j + 28. Let m be k(21). Let t(u) = u**2 - 5*u - 8. Determine t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the third derivative of -8*a**2 + 0 + 0*a**3 + 2\/75*a**5 + 0*a - 1\/5*a**4 - 1\/900*a**6. Factor u(m).\nAnswer: -2*m*(m - 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*v**4\/4 + 36027*v**3\/4 + 81358*v**2 + 131751*v + 10024 = 0 for v.\nAnswer: -1432, -7, -2, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 19893 or 23524?\nAnswer: 19893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 PM and 5:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 1 + (3 - 3 + 1)*(-2 + 1 - 1) + 4 - 4 - 2)*(-10 + 5*q - 6*q + 0*q).\nAnswer: 6*q + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.284 times -61690\nAnswer: -17519.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a*a**(-16))*a*a**(1\/12))**(-4\/15) assuming a is positive.\nAnswer: a**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 231\/105 + ((-3)\/5)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 15*2\/(12\/2). Let z = -5 - -5. Suppose 3*f - 4*f - 3*r = 1, z = -4*f + 2*r + 10. Solve -u*b = f + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -211*m - 371. What is r(-5)?\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -6*d**2 - 12*d - 289. Let c(m) = m**2 + 2*m + 48. Calculate 34*c(b) + 6*h(b).\nAnswer: -2*b**2 - 4*b - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 56 = -250. Suppose -32*p + 34*p - 68 = 0. Calculate the greatest common divisor of l and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2*(1 + 3\/2). Let h(c) = -2*c**2 + 2. Let b(j) = 2*j**2 - 2. Let i(u) = z*h(u) + 6*b(u). Find the first derivative of i(m) wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2136 + 10683\/5. Which is the nearest to -1\/4? (a) -2\/9 (b) -1 (c) i (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6730, 15835, 24940, 34045?\nAnswer: 43150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s = -23 - 27. Suppose 4*m - 5 = -9, -s*i - 3*m = -5577. What are the prime factors of i?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3739 rounded to two decimal places?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 11*x + 6. Let q be p(-6). Let f be ((-2)\/(-5))\/((-4)\/q). Let l = 14 - f. What is the smallest common multiple of l and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/4 and -67\/159568.\nAnswer: 159568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 - 3*j - 1. What is l(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 55*q**3 + 7*q**2 - 556*q + 14. Let h(s) = -27*s**3 - 4*s**2 + 279*s - 8. Let v(g) = -7*h(g) - 4*x(g). Find the second derivative of v(j) wrt j.\nAnswer: -186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 493014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 25 by -5464959.\nAnswer: -25\/5464959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1687373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1014 is divided by 289.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -89, -381, -32.\nAnswer: -381, -89, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r - 31. What is g(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k\/(k\/((k\/(k*k*k**(-5)))\/k)))\/k*k*k)\/((k**(3\/2)*k)\/k*k))**14 assuming k is positive.\nAnswer: k**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Add together -127.429 and -338.\nAnswer: -465.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -2.111311142 to 4 decimal places.\nAnswer: -2.1113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minus -45823816889937?\nAnswer: 45823816889939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -515 + 466. Is 43 a factor of 33135\/21 - (-42)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {z: 1, k: 1, a: 2, w: 2, g: 7, d: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/7335 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 514*t = 510*t + 9, -4*m = -23*t + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 17 in -2\/19, 1\/8, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q - 7. Let v be f(-5). Suppose g - 308 = -v*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20107 - 20111 + 40218 - 6350*i as j + a*i and give a.\nAnswer: -6350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/(-12) - ((-37319910)\/(-8))\/(-5). Let u = t - 9532997. What is u rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (29 - -7) + (25 - (32 + 10)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -68*k - 24. Let p(m) = 67*m + 23. Let g(i) = 5*p(i) + 4*t(i). Let l be ((-2)\/(-7) - 957\/(-203)) + 1. Is g(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 125354 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 12*t + 2 + 2 + 4*t - t**2 + t. What is the remainder when 79 is divided by i(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 + 4*x - 1. Let c be p(2). Suppose m = 2*m - c. Solve -3*z = 4*h - m, -3*z + 3*h = -1 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 972417766 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 3*p - 16, -40 = -5*n - 2*p - 0*p. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21689068397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/7*2\/4. What is the second biggest value in -5\/6, -1, p?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0140901682 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Are -10\/19177 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1\/7, 40, 2.\nAnswer: -1, 1\/7, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + 1)\/((-3)\/(-4 - -16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 1, i: 6, l: 3, g: 5, s: 1, v: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -36 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 41676952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -111\/8000 and 17\/420?\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4066196810 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 3 s when four letters picked without replacement from oooossoooosoossooso?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -7\/3 (c) 2\/55 (d) 1 (e) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Do -5609 and -28042\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 PM and 6:31 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**2\/9 + 247420040*w\/9 - 7652084524200200\/9 = 0 for w.\nAnswer: 61855010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*h*r**2*t - 2*h*r**2 + 2*h*r*t - 2*h*r + 5*h*t + 69*h - 57*r**2*t + 72*r**2 + 2*r*t - 8*r wrt r?\nAnswer: -10*h*t - 4*h - 114*t + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -7*i**3 + 12*i**2 - 3*i - 3. Let v(g) = -4*g + 4 - 5 + 4*g + 6*g**2 - 4*g**3 - g. Let o(b) = 3*k(b) - 5*v(b). Let t be o(4). Is t smaller than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 5\/2, -2\/11, -1, 1471?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 83.49468ml to litres.\nAnswer: 0.08349468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -5*o + 10, w + 7 = -0*w - o. Let h(b) = -b - 6. Let c be h(w). What is the units digit of -3 + (-13)\/c + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9255, -18515, -27775, -37035, -46295?\nAnswer: -55555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from {r: 3, v: 2, j: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 72 - 57. Calculate the highest common divisor of 60 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1063, 1059, 1053, 1045, 1035?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2.5 in -2, 4\/3, -12, -0.45, -0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 8*t. Suppose 5*h - 13 = 12. What is the tens digit of p(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 0*n = -16. Solve 0*w + w + n = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/(w*w\/w**5*w)*w)\/w)\/(w\/(w\/(w*w**(-17\/6))))*w**(-2)\/w*w**(-2\/21) assuming w is positive.\nAnswer: w**(115\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-4) - 6\/(-8). Let a be (-3)\/(n + (-6)\/3). What is the third derivative of -2*i**3 + 3*i**a - 2*i**2 + i**3 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from avrlxoor.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 + 13*v + 13. Find the common denominator of 17\/14 and a(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3360780 divided by 56013\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -442.1088 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -5*k**2 - 5*k - 10. Let l(j) = -25*j**2 - 28*j - 49. Let m(g) = 2*l(g) - 11*y(g). Does 11 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*g + 31*g = 176. Let f be (-4)\/g + 3*(-4240)\/(-264). Suppose -5*o - 2*i = -8, 0*i = 5*o + i - 9. Calculate the highest common divisor of o and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -11491*p - 252678. Determine h(-22).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find o such that o**3\/4 + 73521*o**2\/2 + 13062975*o + 1161899806 = 0.\nAnswer: -146686, -178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-117)\/65*-5 + (-406)\/84*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/(-35))\/(6\/15). Suppose 0*x = 5*x - 770. Let i = x - 1076\/7. Which is the closest to -1? (a) -1\/5 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(1\/2))**18*g**0\/(g\/g**5))\/((g**(-2\/15)*g**0)\/((g**(-6)*g)\/g*g\/((g**(-2\/9)*g)\/g))) assuming g is positive.\nAnswer: g**(376\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**3 + 10*p + p - 6 - 11*p**2 - 40*p. What is the smallest common multiple of o(-7) and 2\/9 + 194\/18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249197 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 74411 divided by 291\nAnswer: 74411\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12, -52, -148, -324, -604, -1012, -1572, -2308?\nAnswer: -3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2820*w - 2829*w - 2839*w + 8501*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_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: List the prime factors of 1029689691.\nAnswer: 3, 23, 14923039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 - 64c5?\nAnswer: -64c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17 - 12. Let z(x) = -2 + x**2 + 2*x**2 - 2*x**2 + 4*x. What is the tens digit of z(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 19? (a) -3\/5 (b) -9 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(136)*4*4)\/(((sqrt(56) - -3*sqrt(56))*2)\/sqrt(7)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + z - 190379 - 95986 = 0, 2*b - z = 286371. Suppose -3*m + b = -2*r, -4*r = -3*r + 3. Is -1 + m\/10 + (-12)\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3\/5 - 4*h**2\/5 + 371*h\/5 + 3234\/5.\nAnswer: -(h - 21)*(h + 11)*(h + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z**2 - 7*z. Let t be b(9). Let y be t\/36 + 1\/4. Let 6*q - y + 0*q**2 - 5*q**2 + 2*q**2 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 121 = 174. Let k = -11 - y. What is the remainder when k is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 8:04 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -29 - -32. Let g(i) = 7 + 2*i**y + 6*i + 152*i**2 - 152*i**2. Let v(x) = x**3 + 4*x + 5. Calculate -5*g(j) + 7*v(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 103040 is divided by 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 235258 and 1510.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -2*z**2 - 12*z + 2. Let p(d) = d**2 + 2*d - 1. Let a(o) = -g(o) - 6*p(o). What is q in a(q) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hnnthnhn. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 4*g**2 - g + 3. Let h be (-2 + (-2 - 0))*1. Let u = 0 + h. Is c(u) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 42 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is x in -81\/2*x**2 - 3\/2*x**3 - 138 - 144*x = 0?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -36 - 26666\/(-796).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 - 8*c - 5. Let z be 4\/10 + 86\/10. Suppose 0 = 2*v + 5*k + 27, -3*v = -4*k + k + z. List the prime factors of s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*-4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*k + 2*k**3 - 3*k**3 + 5*k to the form y*k**2 + v + r*k + o*k**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((sqrt(175)*-5)**2 + sqrt(7) - sqrt(7)) + 6*(1 + sqrt(7) + -5)**2 + -1.\nAnswer: -48*sqrt(7) + 22012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.08 - -13.92. Let l = z + -13.956. Round l to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.01229 (c) -1\/7 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**2 + y - 11. Let m be f(0). Let c = m - -16. Let h be ((-30)\/2)\/3 + (-200)\/(-20). Solve 2*g = -h*r + 11, 0 = 2*r - r + c*g + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*p = -26592 - 5600. Let i = -1005 - p. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/3 or -305.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 32*d**2 + 2*d - 2. Let a be n(1). Let p(o) = -a*o + 18*o + 12*o. Let b(f) = 17*f. Calculate b(p(j)).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - 11*q = -9*q - 4, -3*c + 20 = 2*q for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-14)\/f**(1\/4))**(-12) assuming f is positive.\nAnswer: f**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1142794 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 - 5*y**2 + y + 6. Let u be b(6). Let s = 19 - 48. Let o = u + s. Calculate the remainder when 73 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 200*x = 203*x - 15. Let r(d) = 8*d + 4. What is r(x)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 10\/5 - 34\/18. Let j = -0.6 + 0.6. Which is the closest to 1? (a) j (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 214332433 (base 6) in base 16?\nAnswer: 3acd25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**4 + a - a + 2*a**4 - 4*a**4 + a**4 + (0*a**4 - 3*a**4 + 5*a**4)*(1 - 1 - 2) + (29*a - 99*a - 75*a)*(4*a**3 - 2*a**3 + 0*a**3).\nAnswer: -296*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 3 = 21. Let i be (-8)\/u*3\/2. Find the third derivative of -4*x - i*x**6 + 3*x**2 + 4*x wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25 + 44 - 9 + 40*d + 30*d - 11 + 21*d.\nAnswer: 91*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4655.24 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 3*b, 10*b = -5*h + 8*b - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + -2)\/((-3)\/12). Let w = -3 + k. Let s(z) = -2*z + 7. Determine s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7099968.67 to the nearest 10000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -45, -99, -165, -237, -309, -375, -429?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 0*n**3 + 8\/3*n + 4\/3*n**4 + 0 - 4*n**2 = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 4289*b**2 - 214453*b + 153. Determine c(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**2 + 6*k - 3. Let o be a(4). Suppose -o*w + 10 = -3*g, 6 = -5*g + 2*w + 2. Suppose -h = 0, g*y = -2*y - 5*h + 110. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1443*q**6 + 2*q**3 - 20*q**2 - 8 wrt q?\nAnswer: -173160*q**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 39138541?\nAnswer: 39138541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 10\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*y = 2*y + 650. Suppose 0 = s - 0*s - 11. Suppose -4*g = -2*j - 54, g + 2*j - s = -0*j. What is the remainder when y is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-90)\/12)\/(9\/(-6)). Solve -5*r - y*v = 0, -7*r - 2*v + 12 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 2257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 99669 divided by -3.\nAnswer: -33223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 646 = 4*w, -3*w - m = -386 - 96. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-63 - (-9593)\/159) + (-741)\/(-288)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/19610 and 3\/20.\nAnswer: 39220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 24591600 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 21*h**2. Suppose -r + 3*y + 15 = 0, 4*r + 34 - 94 = -2*y. Let q be ((-24)\/(-30))\/(21\/r + -1). Let n(a) = 2*a**q - 2*a**2 + 2*a**2. Give p(n(j)).\nAnswer: 84*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -6*h**4 + 89330*h**3 - 29776*h**2 = 0.\nAnswer: 0, 1\/3, 14888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u + 3*u - u - u. Let v(q) = 85 + 11*q - 85. Determine m(v(l)).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 3*v**2 - 131*v - 1092. Calculate z(51).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -17698*v**6 + 18*v**2 - v - 5 wrt v?\nAnswer: -2123760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*g + 21*g**2 + 42*g - 85*g.\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -5*o + 27. Calculate the greatest common factor of o and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -h - b, h + 3*b - 21 = -3*h. Let v = 23 + -20. Solve j + v = 4*r - h, r = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the second derivative of l**6\/75 - 3*l**5\/100 + l**4\/60 + 8*l. Determine b so that m(b) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -65893780 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -34\/438625 and -7\/580.\nAnswer: 1754500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Add together -2.02 and -21492704.\nAnswer: -21492706.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kvg when three letters picked without replacement from {g: 2, k: 4, z: 1, x: 1, v: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1196 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 60*b**3 + 60*b**3 - 116*b**3 - 40 as x*b**3 + o*b + k + z*b**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 101745 and 1298631?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 432470, 1729613, 3891444, 6917969, 10809194?\nAnswer: 15565125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 76 - 75.999939. What is t rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1560631421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-22)\/3*6\/(-4). Suppose 0 = 3*w - 4*v + r, -2*w + 14 = -v + 13. Solve w*t + 0*t + 18 = 2*u, 5*u = -5*t - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5e2 + -eda?\nAnswer: -8f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 6.620922 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + 25045312?\nAnswer: 25045313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16 + 12.9. Let i = b + 6.1. Let g = -1.8 - 2.2. What is the closest to 0.1 in i, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 4*x + 706 = -r, -4*x = 2*r - 504. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 + -3 + (0 - -33). Suppose -i = -0 - t. Solve -2*v - 3*k = -6*k + 1, 4*k = -3*v - i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o**3 - 2*o**4 + o**3)*(-2 - 2*o + 2) + 3*o**5 + 2*o**5 - 4*o**5 - o**4 - 152*o**5 + 0*o**4 + 16*o**5 + 10*o**5.\nAnswer: -121*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 244 in -0.07, -5, -3, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*o - 2. Suppose -8 = -o*v - p, 6*v - 5*v - 4 = -p. Solve m - 7 = -v*r, -5*r + 14 = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -6547.4144 and 3.\nAnswer: -19642.2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.3 and 7277889926906.\nAnswer: 7277889926905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from ldddfdldfl?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 99095313 by -99095313.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*a**2 + 7*a**2 + a**2 + 5*a**2.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {h: 1, w: 9, c: 1, g: 2, x: 3, d: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 109883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q + 9. Let i = 9 + -14. Let p be v(i). Suppose 0 = 5*n - p*w - 20, 3*n + 0*w = 5*w + 25. Solve 3*a + 3 + 0 = n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of 1\/3*a**3 - 1\/6*a**6 + 0*a**5 + 0*a**2 + 0 + 7*a + 0*a**4. What is the second derivative of n(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 2*m**4\/7 - 484*m**3\/7 + 29762*m**2\/7 - 58080*m\/7 + 28800\/7 = 0.\nAnswer: 1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-6)*(-342)\/285 + 80\/50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 348, 2, 3 in ascending order.\nAnswer: 2, 3, 4, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11898344.\nAnswer: 2, 547, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 165\/1363 + -895019\/7809990. What is the common denominator of j and -61\/36?\nAnswer: 34380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 709518 is divided by 354718?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*q + 105 = -102 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes before 3:01 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 695 + 3?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -10870, -14059, -17264, -20491, -23746, -27035?\n\"Answer: -z**3 - 2*z**2 - 3176*z - 7691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6\/(-27))\/(2 + -1). Sort b, -4, -0.3.\nAnswer: -4, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 112055174*h**3 - 46411*h**2 + 162*h - 2 wrt h.\nAnswer: 672331044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 3*r. Suppose -54 = 6*h - 114. Let c(v) = 13*v**2 - 180*v + h*v**2 + 180*v. Give y(c(x)).\nAnswer: 69*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvmmvmpvveevpmvvvmp. What is prob of sequence pvp?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 48 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the second derivative of 127*x**4\/12 - x**3\/6 + x**2\/2 + 2*x. Suppose 8*l - 5*l - 3 = 0. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/((w\/(w**(-5)\/w*w))\/w)*w)**18)**(-50))**(2\/41) assuming w is positive.\nAnswer: w**(5400\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 208 + -208.5. What is the second biggest value in -2\/15, -4, q, -2\/65?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 11*v**2 - 25*v - 184. Let a be h(-9). Let f be (-9)\/(-45) + a\/40 + 4. Factor -25\/4 - u**3 - f*u - 41\/4*u**2.\nAnswer: -(u + 5)**2*(4*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 * 0.14\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -229 - -230.79. Let f = 1.39 - w. What is the second biggest value in 0.5, f, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4326721647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 343*x - 174*x - 175*x + 455.\nAnswer: -6*x + 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**3 - 68*p**2 - 194*p + 66. Calculate n(-65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:46 PM and 10:23 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 284064 is divided by 439.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12595.2 + -12595. What is the nearest to -2\/3 in c, 4565, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*i + 273 = -24*i. Suppose -73 + i = 9*z. Solve -z = -7*r - 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - -14 - (-4 + (11 - 0))) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 + 27*u + 4. Let r be t(-28). Suppose 4*g + 3*y - r = 2*y, 52 = 4*g - 4*y. Solve 2*n - g = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*2\/(-2)*4\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 576\/224 - (11\/7 - 1). Let y = -17 + 17.4. Which is the second biggest value? (a) i (b) -2 (c) 11 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 67006 in decreasing order.\nAnswer: 67006, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 5854*j. Let s(v) = 644*v. What is b(s(f))?\nAnswer: 3769976*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l - 5*w + 33, 2*l + 2*w = 3*w + 51. Let g = -15 + l. Solve 5*x + 0*y = 4*y + g, 0 = x - 5*y - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/85 - -36\/85. What is the nearest to 0 in k, 2, -4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 52 = v, 0 = 5*z + 3*v + 31 - 183. What is the least common multiple of 30 and -3 + z - (1 + -4 + -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -54 - -2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 9827, 39400, 88697, 157724, 246487, 354992, 483245?\n\"Answer: a**3 + 9856*a**2 - 2*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) be the first derivative of -l**5\/60 - l**4\/6 + l**3 - 9. Let x(m) be the third derivative of j(m). What is x(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 78597*q**2*r**2*u*w**2 - 60891*q**2*r*w - 3*q**2*u*w - 4*r**2*u*w + 2*u*w**2 wrt r?\nAnswer: 157194*q**2*u*w**2 - 8*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3)\/(-182))\/((-142)\/497))\/(3\/8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -j**2 + 0*j**2 + 2*j**2 + (-4*j + 3*j - j)*(4*j + 45 - 45).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of y**3 + 149130*y**2 + 4*y - 14805 wrt y?\nAnswer: 6*y + 298260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*c**2\/7 + 145774*c\/7 + 218670\/7.\nAnswer: -2*(c - 36445)*(2*c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(1216) + (-1 + sqrt(1216) - sqrt(1216)))**2 - ((sqrt(171)*-1)**2 + 4))*-4.\nAnswer: -64*sqrt(19) + 5568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 294 = 3*a. Let u be (a\/9 - 4)*21. Solve 5*f = u - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*b**2*f + 3130416*b**2*s - b**2 + b*f - b + 32*f*s - 493*f - 167 wrt s?\nAnswer: 3130416*b**2 + 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 9493350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1904778431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -39*f**2 - f - 3. Let j(o) = -2*o**2 + 6. Let x be j(2). Let i be a(x). What are the prime factors of 0*(-5)\/20 - i?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-295)\/(-3150) + ((-282)\/(-126) + -2)*3\/(-10)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 68*i + 25 - 32*i - 27 - 32*i. Let j(c) be the first derivative of -c**2\/2 + c + 1. Let f(v) = -2*j(v) - x(v). Let k(n) = -28*n. What is f(k(a))?\nAnswer: 56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find p such that p**4\/2 - 155188*p**3 + 2482909*p**2\/2 + 5431587*p - 45624096 = 0.\nAnswer: -6, 7, 310368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 5:23 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 22618 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 22752497*i + 51934770.\nAnswer: 22752497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 8:03 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {p: 5, f: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-11)*c**(-17))**(13\/6) assuming c is positive.\nAnswer: c**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 81*f**2 + 12*f**2 - 224*f + 54*f**2 - f**2 + 13*f**2 wrt f.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11, -53, -123, -221?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/825*-11*5\/4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 376409.4 decades to years.\nAnswer: 3764094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**5\/3 - 95*t**4\/3 - 736*t**3 + 768*t**2.\nAnswer: -t**2*(t - 1)*(t + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -191544252*k - 21*k**4 - 4122*k**3 - 4749605*k - 1887876*k**2 - 91921879*k + 43*k**4 - 25*k**4 = 0.\nAnswer: -458, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*z = 5*s - 9, -4*z + 624*s = 622*s + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 1902 - 5710 + 1903 + 1904. Let n(r) = -3*r**2 - r + 18. Give 5*k(b) + n(b).\nAnswer: -3*b**2 - b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1280.9*4.\nAnswer: 5123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 - 4*t**2 - t - 1. Let x be v(4). Let j = -0.24 + -0.86. Let a = 6.1 + j. What is the nearest to 1\/4 in x, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**3 - b**2 + 10*b - 9. Let g be r(-5). Suppose -99 = -5*f + g. Differentiate 0*s**2 + 13*s**3 + f - 39 + 0*s**2 with respect to s.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 4*d**2 + 98*d + 87. Let u(r) = -3*r**2 - 99*r - 90. Let i(b) = -6*m(b) - 7*u(b). Solve i(f) = 0 for f.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, -155, 1, 5 in decreasing order.\nAnswer: 5, 1, -1, -2, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -4bed5 (base 15) in base 6?\nAnswer: -5112515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-10))\/(8\/10). Let n = -0.6 - -0.1. Which is the smallest value? (a) n (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - 5*w + 9, 2*x + 0*w - 8 = -4*w. Suppose g = -3*p - 5 + 3, p = x*g - 24. What is the lowest common multiple of g and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5212 bigger than 458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 23797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, g: 1, m: 3, b: 2, f: 3}. What is prob of picking 1 m, 2 b, and 1 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18846 is divided by 9342.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13 in -2\/39, -2\/7, -2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 - 22746435.703?\nAnswer: -22746435.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -9*j**3 - 2*j**2 + 9*j + 3. Let l(a) = -23*a**3 - 7*a**2 + 28*a + 10. Give -7*i(h) + 2*l(h).\nAnswer: 17*h**3 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in -359\/5, -3\/7, 3, -5, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 2*o - 10, -4*a + 20 = a - 4*o. Suppose a = -2*r + 4*r. Suppose -2*g = 2*h - 194, r*g + 281 = 3*h + g. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**3)**(-16)*h*h\/(h**(-11)*h)*h**(2\/29)\/h)**(1\/45) assuming h is positive.\nAnswer: h**(-119\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 5:10 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r - 2*r - 6*r - 2*r - 2*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(2\/5)*m**(2\/21)\/m*m**(-2)\/m**(-1) assuming m is positive.\nAnswer: m**(-158\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3233684 + -2089273. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6449 - -150?\nAnswer: -6299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3803 divided by 10.\nAnswer: 3803\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (87\/(-27))\/((-1602)\/(-14418))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -1 - (2 + -1 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-156)\/11 + 10\/55. Let a be 19\/4 - i\/56. Solve -3*s = -a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -87.31 * -0.913\nAnswer: 79.71403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55948351*r - 3*r**3 - 55948351*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 225 = 2*r, 3*k + 22 + 443 = 4*r. Solve 12*x = -12*x - r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 76*y - 3053414 + 3055922 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1921479181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ioooiofiooooi. What is prob of sequence io?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2598?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1028)\/175788)\/(2\/((-18)\/(-3))).\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1502042 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkok?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 5*v - 4. Let g(t) = 4*t - 5. Let x(p) = -4*g(p) + 3*k(p). Let n(d) = 3*d + 2. Let s be n(2). Let w be x(s). Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -4 + (sqrt(12)\/sqrt(4) + -1 + -3 - 2*sqrt(192)*-2))**2.\nAnswer: -660*sqrt(3) + 3367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 - -5. Let i = 6 - 4. Calculate the remainder when o is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 9. Let y(s) be the first derivative of -s**5\/20 - s**4\/3 + s**3 + 3*s**2\/2 + 2*s + 1. Let n(u) be the first derivative of y(u). What is n(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9291441 or -9291442?\nAnswer: -9291442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 1439*a + 107 + 1328 = 1404*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 + l**2 - 1. Let d be a(-1). Let c = d - -3. Suppose 0 = -c*h - 0*h + 8. Solve 5*i + 6 + 13 = -2*j, -h*i + 5 = 5*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 857806.4um to kilometers.\nAnswer: 0.0008578064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-6)\/(y*y\/(y**1*y)))\/(y**3*y\/y**(-1\/3)*y))**(-7\/2) assuming y is positive.\nAnswer: y**(119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14\/35 + 24\/(-10). Let i be ((0 - -2) + k)*(-8)\/16. Let p(f) = f**2 - 8*f. Let r be p(8). Solve 2*s + r*s - 4 = i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (6 - 3 - 3)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -3 (c) 3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -77, -401, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2 - n + 3. Let y be l(0). Suppose y*f + 3*q = -q + 14, 20 = 4*f + 5*q. Let x be 1\/(-2) + 5\/f. Let i(u) = -u**3 - u**2 + u + 3. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h when three letters picked without replacement from qhhhhqhhhhhh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**3 - 2104*s**2 + 467290*s + 46911412.\nAnswer: 2*(s - 563)**2*(s + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -153. Let l(t) = t + 1470. What is l(o) - 4*m(o)?\nAnswer: o + 2082","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6 + 4 + (-60)\/9)\/(44\/(-36)). Which is the nearest to -1? (a) -0.5 (b) 9 (c) -1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-8)*n)**(-10\/11) assuming n is positive.\nAnswer: n**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*u**3 + 2*u - 2*u + 15*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 414250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*a**5 + 48173*a**3 - 1186*a**2 + 240*a.\nAnswer: -360*a**2 + 289038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find u such that u**5 - 407*u**4 - 6977*u**3 + 11825671*u**2 + 23670640*u + 11838400 = 0.\nAnswer: -151, -1, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/(-9)*3*-6. Let w = -26 + 46. Calculate the greatest common factor of w and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*p - 900 = 316*p - 156*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**1)**(2\/3)*d*(((d\/(d\/(((d\/(((d\/(d\/d**(2\/7)))\/d)\/d))\/d)\/d)))\/d*d)\/d)\/d*d\/d**(-8)*d)**18)**4 assuming d is positive.\nAnswer: d**(5568\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -104573482 divided by -1.\nAnswer: 104573482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -2*n + 4, 2*f = -1 + 5. Let j = -1 + n. Let x = 3 + j. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1370 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.14 * -13399742.\nAnswer: 1875963.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00006280646125 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**19*m*m\/(m**23*m)*m**(2\/5)*m**(-11)*m assuming m is positive.\nAnswer: m**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -6 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/3*(-1)\/(-1). Let b(j) = 2*j**2 + 3*j + 3. Let i(y) = -y**2 - 2*y - 2. Let c(o) = r*i(o) - 2*b(o). Let t(n) = -7*n**2. Determine t(c(u)).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 691 minutes after 6:03 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -53*x**2 + 20*x + 1. Let l(n) be the second derivative of 13*n**4\/3 - 10*n**3\/3 + 14*n. Let p(c) = 6*l(c) + 4*o(c). Determine y, given that p(y) = 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1001 + 2121222000?\nAnswer: 2122000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11229, -12694, -14183, -15702, -17257?\nAnswer: -18854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -221 + 224. Solve 0*p + p = -3*m - 8, -5*m - n*p = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9999 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 2*v = 668. Let t = -237 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/4? (a) 0.86 (b) -3 (c) 8\/15 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*y - 5*y - y)*(-2*y + y + 3*y) - 15*y + 5*y**2 + 15*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5\/(-20) + 50\/8. Let i be (-56)\/(-10) - p\/10. Let x = 1 + i. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -91*v - 4. Let a be c(-2). Let u = a - 122. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 25 = i. Suppose -m = -4 + 1. Suppose 0*k - m*k + 12 = 0. Is i at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 34 and 2186846?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/(-2)*(-104)\/(-182)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 212775261 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3464012339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -9*a - 12. Let f(w) = -19*w - 25. Let b(q) = -4*f(q) + 9*y(q). Calculate b(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.008086 to 4 dps.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (36*k - 15*k + 372 - 388)*(545*k**2 - 545*k**2 - 14*k**3) to m + h*k**4 + q*k**2 + z*k + y*k**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-8 + 6)\/(1\/(-3) + (-57)\/171). Let d(k) = 5*k - 4. Let i(z) = 6*z - 3. What is l*i(h) - 4*d(h)?\nAnswer: -2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 + 139100*i - 138847*i - 16.\nAnswer: 253*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from pjdjqjjpodqjjjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 - -3)*(1 + -60). Suppose 0 = 5*u + s - i, 0*u - 5*u + s = -61. What is the greatest common divisor of 96 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8542 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 48 + -47.9. What is the nearest to x in -0.3, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(0 + -2*sqrt(99)) + (1 + sqrt(704) + -4 + (-6*sqrt(704)*-2 - sqrt(704) - sqrt(704)))**2.\nAnswer: -498*sqrt(11) + 85193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**(-1))**(-4\/7))**(-9))**(11\/5) assuming b is positive.\nAnswer: b**(-396\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (19 - 132) + 32 + 70\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 986634 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of 5*u**8\/336 + 13*u**7\/42 + u**6\/6 - 48*u**5 - 540*u**4 - 2520*u**3 + u**2 - 1526*u. Solve x(m) = 0.\nAnswer: -6, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5690 and 569?\nAnswer: 5690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in four fifths of a microsecond?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose -15*m + 1106 = -889. Which is greater: m or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*1*(-25)\/((-250)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 57 = -8*x + 39, -2*y = 3*x + 10. Let o be (-8)\/(-45) - (-4)\/18. Let m = 0.2 + -0.2. Which is the nearest to y? (a) m (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.0533 and -170317.\nAnswer: -170316.9467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/15)\/((-4)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -800, -1611, -2422, -3233, -4044, -4855?\n\"Answer: -811*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 147 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7739\/(-1526) + (3 - -2)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-182)\/(-10) - (-3)\/(-15). Let v = a - 16. Suppose -v*c - 75000 = 3*c. What is c rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 1465?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -3073\/132 > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 + 9*v**2 + 8*v + 8. What is the least common multiple of (-6)\/(-12)*(4 + 12) and x(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ftffftttttfttt.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 1:50 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/5, 5, 3, 2\/5, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is d in -d**2\/2 + 133*d\/2 + 949 = 0?\nAnswer: -13, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 100270 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 53 - 50.1. Let f = 0 + 3. Let s = x - f. What is the smallest value in s, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 195 smaller than 4518\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3989*g*i - 3886*g - i wrt i.\nAnswer: -3989*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (6\/4)\/(15\/4). Let j = -4.4 + 4. Which is the biggest value? (a) r (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-950)\/(-125) + -7)*-25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49 - 3551*d + 79 + 3575*d - 31.\nAnswer: 24*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-4))**(2\/61)\/(q**0)**(4\/5) assuming q is positive.\nAnswer: q**(10\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and 4.1013359?\nAnswer: -12.3040077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 525 = -5*u, 3*c - 4*u = 472 - 122. Suppose -c = -r - r. Suppose 3*b + r = 4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - (-4 - 1 - (-22 - -14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -83 divided by 3010851.\nAnswer: -83\/3010851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 680 + 0?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b - 4*b - b**2 + 2*b + 4. Determine w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*-2*(-7)\/28. Let y be ((-4)\/10)\/(o\/(-200)). Is y greater than -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 less than 961681?\nAnswer: 961671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v**4*v)\/v)\/v)**(-37)*(v\/(v\/v**34))\/((v**(3\/25)\/v)\/v) assuming v is positive.\nAnswer: v**(-2803\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 0. Calculate the lowest common multiple of 22 and ((-18)\/(-5))\/(1\/u).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 2*t**2 + 4*t. Let o = -510 + 499. Let f(p) = 6*p**2 + 11*p - 1. Give o*u(s) + 4*f(s).\nAnswer: 2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 49023*l - 49100*l + 2002 = 0 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -14270 by 6.\nAnswer: -7135\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 11 = 2*o + 5*p, 0 = 5*p - 15. Calculate the least common multiple of 10\/(o\/(-8)*1) and (-3)\/(-2 - (-7)\/5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -8*j + 0*j - j. Let t be l(-1). What is the remainder when 31 is divided by 292\/18 - 2\/t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of 2*k - k**3 - k**4 - 4 - 1\/2*k**2. Let p(r) = 21*r**3 + 16*r**2 + 6*r - 11. Give 11*o(u) + 2*p(u).\nAnswer: -2*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 294 = 45. Let n be 16\/(-88) + (-2490)\/(-22). Suppose 0 = 2*a - 3*r - n, 2*r - s = -3*a + 63. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3 + 12*z**2. Let v = 17 - 5. Let d be b(v). Factor 3\/5 - 3\/5*u**2 + d*u.\nAnswer: -3*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2304 divided by 768.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 4*i + 112. What is the lowest common multiple of 54 and n(-26)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**3 + 4*s**2 + 2*s - 4. Suppose 0 = 3*j - 2 - 10. Calculate k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = n - 56, q - 5*n = 20 + 12. Suppose q*p - 10*p = 76. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -5*o - 1. Let k be d(-3). Let z = -1 + 6. Let s be 3*2\/3 + z. Calculate the greatest common divisor of s and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 280.15 to the nearest integer.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24091.41 - -23613. Let w = 475.4077 + u. Let m = w - -3. Round m to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52822 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(50) + -1 + sqrt(6050) - (5 + sqrt(2) + 0 + sqrt(2) + 2))**2.\nAnswer: -4640*sqrt(2) + 33960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 15 = 0, 2*p + 17 - 9 = -2*h. Let v(f) be the first derivative of 8*f**2 - 4*f + 5. Let l(a) = 5*a - 1. Calculate p*l(g) + 2*v(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 25 = -5*q. Let u(a) = -a - 11. What is u(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1123 (base 6) in base 13?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -111210*g + 38509*g - 124083*g - 279730*g.\nAnswer: -476514*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 195.7 - 196. Which is the smallest value? (a) 22 (b) z (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:55 AM and 12:50 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -6.454600092 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) -8088 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by -75825\nAnswer: -2\/75825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/2 of a minute in seconds?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-1828570)\/154500)\/((-16)\/(-6)). Let x = a - -2\/2575. What is the common denominator of x and 29\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5 + -10225502?\nAnswer: -10225453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 - 4*p - 3. Let z be s(5). Suppose a - 3 = z. Let u = 0 + 0. Solve y - 3*y - 2*v = 0, 2*y - a*v + 14 = u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12974\/10 - (4 + 126\/(-35)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -70216 = 1168*z - 120*z for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -209, -1917, -6743, -16295, -32181, -56009?\nAnswer: -89387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 487 * 39.1\nAnswer: 19041.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 59*f**3*q**2 + 465*f**3*q + f**3 - 115*f**2*q**2 - 2*f**2*q + f*q - 14*q**2 wrt f?\nAnswer: 354*q**2 + 2790*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -4*i + i - 1 - 3*i - 3. Let n be t(-3). Calculate the greatest common factor of 35 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -620, -1\/5 in ascending order.\nAnswer: -620, -1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -9 (b) -7 (c) -2\/13 (d) 0.5 (e) -22\/5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2209\/(-11) - (23 - 1757\/77). Put -1, r, -3 in increasing order.\nAnswer: r, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (5 + (-4 - -2))\/1. Let y(x) = -11*x**2 - 5. Let s(o) = 6*o**2 + 3. Give b*y(p) + 5*s(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 + 1. Let n be u(-2). Let k(x) = x + 4. Let g be k(-2). Let t be (-4)\/8 - n\/g. Are -2\/17 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-4\/3)*l*(l**(1\/5)*l)\/l*(l**1)**(2\/3) assuming l is positive.\nAnswer: l**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 163 = 5*r, 3*a + 4*r - 148 - 13 = 0. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -212017 (base 9) in base 2?\nAnswer: -11110110010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*i - 2*i. Let g = 22 + -20. Solve g*w = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1420a566 + -4?\nAnswer: 1420a562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 101 + -130 + 81 - (-1 + 17 + -3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 20816473 to the power of 1\/2, to the nearest integer?\nAnswer: 4563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3473*s**3 + 2317*s**3 - 3004*s**3.\nAnswer: -4160*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 429859*b - 666208 wrt b?\nAnswer: 429859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 2\/11, -3, -1195126?\nAnswer: -1195126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 297074 is divided by 223?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 8*m + 28 = -3*m, 5*n + m - 70 = 0. Suppose -4*p + n*p - 1220 = 0. What is the lowest common multiple of 18 and p?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the second derivative of -k**7\/189 + 4*k**6\/135 - k**5\/18 + k**4\/27 - 3*k. What is v in p(v) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104)\/(-3*sqrt(4)))\/sqrt(2) + (sqrt(13) + (sqrt(26) - sqrt(416))\/sqrt(2) - (sqrt(13) - (sqrt(1300) + 2 - sqrt(1300))))**2.\nAnswer: -37*sqrt(13)\/3 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -1719 + 123. Suppose 4*o = -4*w + 1176, 4*o - 80 + x = w. 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: Let t(h) = -61*h**2 - 4*h - 4. Let p(k) = k**2 + k + 1. Calculate -4*p(n) - t(n).\nAnswer: 57*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1 - -2)\/1)\/(-2 + 1\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -17589491 and 1?\nAnswer: -17589491","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -21*d**3 - 53*d**2 + 10*d - 15. Let m(x) = -11*x**3 - 26*x**2 + 4*x - 6. Determine -5*m(h) + 2*u(h).\nAnswer: 13*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 745335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 12)*(0 - m + 0) + 0*m + 0*m - m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*a - 37*a + 3*a)*(1 + 1 - 3) - a - a + 4*a in the form n*a + o and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 3*l + 54 = 38, -2*l + 4 = 3*m. Let g(a) = 2*a**2 - 10*a + 2. Let o(t) = t + 1. Let y(w) = g(w) + 3*o(w). Determine y(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14002 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -0.4 (c) 114 (d) 1232 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 13) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/29486 and -43\/6.\nAnswer: 88458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -193?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -3082647 * -1.\nAnswer: 3082647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 43451364 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t - 7. Let z be b(-9). Let k(d) = 2*d + 0*d - 2*d + d**z. Let a(w) = -1 + 2*w**2 + 3 - 2. Determine k(a(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/1392688 and -99\/107308?\nAnswer: 193583632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 127161*r**2. Let v(c) = -5*c - 15. Give v(n(w)).\nAnswer: -635805*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 64 = w, 2*m - 8*w - 44 = -3*w. Suppose 3*j - 5*t = m, -2*t + 45 = 4*j + t. Calculate the lowest common multiple of j and (2 - 0)\/(0 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 2*c = -8. Suppose -136*w + 1501 = 77*w - 203. What is the highest common divisor of c and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the second derivative of 5*j**3 + 3*j + 31. Let x(i) = -871*i. Give 117*p(z) + 4*x(z).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.21, 5, 1\/8.\nAnswer: -0.21, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 11:51 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 981.9079ml?\nAnswer: 0.9819079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32034, 64086, 96174, 128316, 160530?\nAnswer: 192834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 55 + -52. Let v = -0.14 - -0.24. Which is the closest to -2? (a) -3\/7 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 6958261, 6958260, 6958259, 6958258?\n\"Answer: -y + 6958262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 30628 = 5207. List the prime factors of n.\nAnswer: 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(847) + (-1 + sqrt(63) - sqrt(7)) - ((sqrt(77) + (sqrt(77) - sqrt(77)*-1 - sqrt(77)))*-5)\/(sqrt(66)\/(sqrt(24)\/sqrt(4) + sqrt(6))))**2.\nAnswer: -88*sqrt(7) + 13553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (9\/164)\/(3\/(-12)). Let j be 30\/(-27)*1908\/(-615). Let f = j - r. Sort 4, -4, f in descending order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 486080 or 486081?\nAnswer: 486080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -26*i + 99. Let h(a) = 27*a - 95. Let s(d) = 6*h(d) + 7*y(d). Let p be s(6). Solve 2*n - 2 = 5*j, -p*n - j = -2*j + 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((1638\/(-1924))\/(-21))\/(10\/(160\/12))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0008275 to five dps.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1155 + 18*b**3 + 602 + 553.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the second derivative of -4*z**4\/3 + 5*z**3\/3 + 51*z**2\/2 - 6607*z. Let v(j) = 11*j**2 - 7*j - 34. Determine -5*i(n) - 7*v(n).\nAnswer: 3*n**2 - n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 12 = 4*s, -3*s = -5*x + s + 60. Let f = 196 - 191. What is the third derivative of 5*o**2 - f*o**5 - x*o**2 + 6*o**5 wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.1 - -5.1. Suppose 4*l = 5*z - 26, 3 = -3*z + 4*l + 17. Let u = z - 8. Which is the smallest value? (a) t (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 15\/13 (b) -7\/383 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of 3*m**5\/25 + 3*m**4\/10 + m**3\/5 - 2. Solve r(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of -541*a**3\/6 - a**2 + 836*a. Let f(j) = -3*j**2. Determine f(o(i)).\nAnswer: -878043*i**2 - 6492*i - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 7334 (base 10) in base 7?\nAnswer: 30245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 303 + -305.58. What is a rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 24 + -14. Let b = -9 + m. What is the closest to 1 in b, 0.2, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + (-1469)\/104 - -4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4.37, 3, 809 in decreasing order.\nAnswer: 809, 3, -4.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -18*x**2 - 193*x + 1748. Determine j(9).\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the first derivative of 95*o**3\/3 - 6215. Let s(a) = -14*a. Calculate s(w(v)).\nAnswer: -1330*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-97 + 11 - 28)*(2*g + 2*g - 5*g)*(15*g + 13*g + 2*g)*(-g - 5*g + 4*g) as c*g**2 + i*g + l + z*g**3 and give z.\nAnswer: -6840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 41 - 163\/4. Which is the nearest to 0.1? (a) 0.2 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 3*v**2 + v - 5. Let l(d) = d**2 - 1. Suppose 42*c + 6 = 48*c. What is c*w(u) - 5*l(u)?\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/280 and 142\/(-781) - 1478\/5544.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00452882808 rounded to seven dps?\nAnswer: 0.0045288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 2014916.\nAnswer: 18134244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.08 and -30.946.\nAnswer: 2.47568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1.31160181+-5825.138\nAnswer: -5826.44960181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -17873*x + 10437 = -18221*x - 351 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6216 divided by -28.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + 21033211112?\nAnswer: 21033211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -43979, -87861, -131645, -175331, -218919?\n\"Answer: 49*o**2 - 44029*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 72408 by -62.\nAnswer: -36204\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20415*v**3 - 1408.\nAnswer: 61245*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in eighty-seven fifths of a millennium?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/9 - 32\/18. Suppose -47 + 20 = -5*h - 2*g, -4*g + 19 = 3*h. Let p be ((-2)\/h)\/((-2)\/10). Sort p, 0, w in descending order.\nAnswer: p, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -9 + 10*r - 4 + 9 - 3*r**2. Let p(o) = 2*o**2 - 9*o + 5. Let w(a) = -3*j(a) - 4*p(a). Determine w(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**0\/i)**(-22)\/(i**5*(i*i**(-2\/21))\/i*i))**44)**18 assuming i is positive.\nAnswer: i**(89232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 58*f**2 - 60487 + 60487.\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: ((-4275)\/570)\/(62\/8 + -2 - 1\/4)\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the third derivative of -n**6\/600 + n**5\/100 + n**4\/120 - n**3\/10 + 3*n**2. Factor h(k).\nAnswer: -(k - 3)*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 3:49 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3995 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -281449, -562883, -844317, -1125751, -1407185?\nAnswer: -1688619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 369745 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*i**3 + 4*i**2 - 5*i**3 - 4*i**2 + 10*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aayjybjyyabyy. What is prob of picking 3 y?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1425*r**4 - 2*r - r**3 + 7*r**2 - 7*r**2 - 2 - 1419*r**4 as u*r**2 + k*r**4 + m*r**3 + a + c*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -151 (base 8) to base 3.\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 256121403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 48912 by 12.\nAnswer: 4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.4343 to two dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 6*d**2 + 8*d. Let x be o(6). Suppose -x = 60*g - 64*g. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (92\/6*1)\/((28\/(-21))\/(-2)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the first derivative of -17*o**5\/5 - 5*o**3\/6 + 28*o + 63. Let y(c) be the first derivative of l(c). Find the second derivative of y(g) wrt g.\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-4 - -2) - (-15 + 0 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 12, 47, 98, 165, 248, 347, 462?\n\"Answer: 8*p**2 + 11*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 359 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = c - 5*b - 10, -3*c - 28*b + 32*b = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -303076 divided by -151538\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 3, o: 4, w: 1, e: 10}. What is prob of picking 1 e and 1 o?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**3 - 6*z**2 - 2*z - 2. Let d be v(7). Suppose -d - 1 = -2*n. Differentiate -14 - n*s + 4 - 9 with respect to s.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of v**6\/120 - v**5\/4 - 7*v**4\/12 - 2*v**3\/3 + v**2. Suppose 3*o + 2*g - 6*g - 52 = 0, o + 4*g = 12. Does 7 divide r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 253*o + 64*o + 12766 = -147*o - 27*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -617, -1814, -3011?\nAnswer: -4208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 - -4. Find the third derivative of -11*m**k - m**4 + 17*m**5 + 3*m**4 + 2*m**2 wrt m.\nAnswer: 1020*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 25412107 by -1.\nAnswer: -25412107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -2*z**2 - 6*z. Suppose -30*h + 13 = -17. Let f(y) = -y. What is h*w(l) - 3*f(l)?\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -441*o + 172*o = 362*o + 2*o - 77859 for o.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 13, 8, -1, -14, -31, -52, -77?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -130, -244, -358, -472?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*w**2 - 118010*w + 1651160.\nAnswer: 5*(w - 23588)*(w - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by 43332.\nAnswer: -7\/43332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 228862 is divided by 396.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1111 - 10111111000110010?\nAnswer: -10111111000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -305, -362, -419?\n\"Answer: -57*l - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72)\/sqrt(2)*4 - (sqrt(36) - sqrt(396)\/(sqrt(22)\/sqrt(2))))\/(-2*sqrt(432) + sqrt(12) + sqrt(108)\/sqrt(36)).\nAnswer: -8*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 90906660 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2))**33 assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*p + 4 - 4. Suppose -34*x + 4774 + 7738 = p. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12690 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 51*p - 6. Let l be b(6). Let h = 563 - l. Let d = h + -159. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 464486254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 125 divide 607750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -3, 166, -30, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 3*k = 435, 5*l - 2*k - 1060 = -0*k. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 70986 - 37622. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9137*s - 3624*s - 1894*s - 3623*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -1214994*r + 1214996. What is l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -4*n**2 - 4*n + 9. Let y(x) = -3*x**2 - 3*x + 8. Let a(f) = -4*g(f) + 5*y(f). Let u be (1 - 1)*5\/(-5). Determine a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 5*k**2 + 10*k - 47. Give n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -61689, -246846, -555423, -987426, -1542861, -2221734?\nAnswer: -3024051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4858 = -365*r + 31503 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1468 and 46?\nAnswer: 33764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-38)\/(-19))\/(4\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 282*n**3 + 904*n**2 + 4*n. Let m(d) = -848*d**3 - 2713*d**2 - 14*d. Let z(v) = 7*b(v) + 2*m(v). What is the third derivative of z(p) wrt p?\nAnswer: 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -2*q**3 - q**2 + 2*q - 1. Let d(s) = -s**3 + s - 1. Let t(b) = 3*d(b) - 2*g(b). What is the lowest common multiple of t(-2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 664 is divided by 122.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -249.02 - -249. What is the third smallest value in 0.2, c, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 + (1 - 4) - 1. Solve 0 = -q + 1 + u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 803, 6019, 20185, 47777, 93271, 161143, 255869?\n\"Answer: 746*k**3 - k**2 - 3*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 2*u = -4. Suppose -1 = -3*w + u. Suppose -4*f - 5*b = 23, -4*b = -5*f + 1 + w. Put f, 2, 1\/3 in decreasing order.\nAnswer: 2, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -3*c**5 + 7812*c**4 + 6*c**3 - 15624*c**2 - 3*c + 7812 = 0.\nAnswer: -1, 1, 2604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 19273768 and 0.53.\nAnswer: 19273768.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -218 times 46421?\nAnswer: -10119778","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Suppose 3*b - 76 = -4*c, -3*b - 3*c + 80 = 2*c. What is the greatest common divisor of b and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -620230a - -8?\nAnswer: -6202302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -32903*-2\nAnswer: 65806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 8*f**2 - 8*f - 3. Calculate m(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (127 - 127 - 22795*d - 786*d + 2165*d)*((-4 + 4 - 1)*(-3 - 1 + 2) + 2 - 2 + 1) to p + u*d and give u.\nAnswer: -64248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2\/6*(-84)\/(-14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 20.7, -1, 2\/5, -26 in increasing order.\nAnswer: -26, -1, 2\/5, 20.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 3731517 * 2\nAnswer: 7463034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.5 times 927.71\nAnswer: -463.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2 + 154*l - 958. Determine a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -1963*g - 3949*g - 2 + 2127*g in the form x*g + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2 - 11*p + 1. Is c(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 848916 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 20893249.27 + 35?\nAnswer: 20893284.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the third derivative of -q**5\/60 + 2*q**3 + 34*q**2. Let i(r) be the first derivative of a(r). Let x(o) = -8*o**2. What is x(i(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 2*y - 7. Suppose -3*w + 8*w = 3*p - 45, -4*p = 3*w - 2. Let v(r) = r - 4. Let g(z) = w*q(z) + 10*v(z). Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6540 + -6539.8. Let l = -0.9 + 0.6. Which is the nearest to p? (a) l (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684) + 1*-3*sqrt(684) + sqrt(684) + 4 + (sqrt(684) + 2 - sqrt(684)))**2.\nAnswer: -72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:13 AM and 5:26 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (5 - 7) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1211002222021010 - 20?\nAnswer: -1211002222021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.09*-10.81\nAnswer: 0.9729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -139.56953 to 0 decimal places.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 101 - 43. Let g = -56.2 + y. Let q = 0.2 + g. What is the nearest to 2 in q, -0.09, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 + g + 5. Let b be 0\/(6\/(-2) + 5). Let d be u(b). Suppose 63 - 8 = d*q. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1092 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -104202 (base 5) in base 6?\nAnswer: -25005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 106*z - 18. What is q(1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 39 - -78 - (13 - (-1 + (-13 - -16))).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1383521487.9 rounded to the nearest ten thousand?\nAnswer: 1383520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 2, 0.0377, 16\/5, 3 in decreasing order.\nAnswer: 16\/5, 3, 2, 1, 0.0377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -318 - -346. Suppose 5*m - 32*p = -a*p + 19, -4*m + 9 = 3*p. What is i in 3\/5*i**2 - 3\/5 - 3\/5*i**m + 3\/5*i = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 244 = 4*p - 20*j, 1407*j = -4*p + 1404*j - 32 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 + -1. Let o = -24 - l. Suppose -3*f - 38 = 2*i - 1, 2*f - 8 = i. Is o at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - ((3 - 3) + 1)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 34098508 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12.6 + 12.3. Let g = 0.3 - 0.2. Which is the closest to g? (a) m (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-9) - (-1 + (-212)\/(-3)). Is (-1 - j)\/(-7 - -12)*5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -52, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -2*u - 6. Give z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3631?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4231.\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -4*p - 13. Determine g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 26*l**4 - 14*l**2 + 13 + 30*l**4 - 82 + 13*l**2 wrt l.\nAnswer: 1344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -880 (base 9) to base 14\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the third derivative of 0*v**4 + 0*v**3 - 1\/15*v**5 + 21*v**2 + 0 + 0*v. Let d(z) = 5*z**2. Give a(d(s)).\nAnswer: -100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 95450.33 nanometers?\nAnswer: 0.09545033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the third derivative of 0 + 0*k + 1\/24*k**4 - 1\/40*k**6 + 1\/3*k**3 + 8*k**2 - 1\/20*k**5. Determine i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l**3\/7 + 15377*l**2\/7 + 30757*l\/7 + 2197 = 0. What is l?\nAnswer: -1, 15379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/32 and (2*2\/16)\/((-85)\/(-119)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 2*d**2 - d - 2. Let a = 73 - 75. Let r be (-1)\/(a*3\/(-18)). Let b(z) be the first derivative of -z**3\/3 + z**2\/2 + z - 1. Give r*c(o) - 4*b(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*a**5 + 28*a**5 + 4*a**3 - 4*a**3 + (-5 + 0 + 4)*(85*a**5 - 1374*a**4 + 1374*a**4).\nAnswer: -64*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21027 - -58213. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -2*f**2 - 103*f - 87. Let h(b) = -b**2 - 41*b + 258. What is the lowest common multiple of h(-46) and x(-50)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 157 - 92. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 230787858 is divided by 3063.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 868613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-756)\/(-10773))\/((-4)\/6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -13? (a) -12.79 (b) -703 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7539.93414 - 7540. Let g = -0.0403 - v. Round g to 3 dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1521813, 2, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 622174*j**2 - 198*j**3 - 1244538*j**2 + 622364*j**2.\nAnswer: -198*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k + 4 + 16*k - 11*k. What is u(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 + 36. Suppose 0 = l - 5*o - 60, 298 + 30 = 5*l + 3*o. Calculate the greatest common factor of l and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*m - 148*m = -559 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1348236187 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -352 + 1094 - 391 - 363 + 6*l. Give a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 2*o + 5*t - 40, -92 = -4*o - 2*t. Solve 15*s - o*s = 30 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(300) + sqrt(300) + -1 + sqrt(300) - sqrt(300) - sqrt(300))**2 + sqrt(21)\/(sqrt(7) + (-5*sqrt(84))\/sqrt(12)).\nAnswer: -81*sqrt(3)\/4 + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -134308, -536523, -1206648, -2144677, -3350604, -4824423, -6566128?\n\"Answer: t**3 - 133961*t**2 - 339*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3183*s**2 + 6*s - 51*s + 3181*s**2)*(-5*s + 0*s + 0*s) as y*s**2 + l*s**3 + w*s + v and give y.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.034 + -0.048. Let z = n - 3.918. Let f be (((-32)\/(-6))\/4)\/(-1). Which is the closest to -2\/5? (a) -2\/7 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -129*x - 903. Let t be g(-7). Solve a - 6 = -t for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 4. What is the remainder when 17 is divided by (s - -2)\/(2\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -6, -11, -5, -1194 in decreasing order.\nAnswer: 4, -5, -6, -11, -1194","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 - 7)*(-1 + 1 + y**3 + (0 - y + 0)*(2*y**2 - y + y) + y**3 - 4*y**3 + 2*y**3).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3\/4 + 7*q**2\/2 - 257*q\/4 + 225\/2.\nAnswer: (q - 9)*(q - 2)*(q + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*z - 4*n = 142*z - 68*z + 45, 4*n + 29 = 4*z + 5*n for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 179619118 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -d + 1. Suppose 12 = 5*y + d, -5*x = 3*y - 21. Let n(l) = l**x + 3 + 4*l - l + 2*l + 5*l**2. Calculate n(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-2)*-3*(-56)\/756.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 1)*(-1 + k**2 + 1) + (-5*k + 9 - 9)*(k - 4*k + 2*k) + 5*k**2 + 4*k**2 + 5*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 46 + 9. Let l = u + -30. Let m(j) = -j**3 + 24*j**2 + 22*j + 54. What is the common denominator of m(l) and -41\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-23)\/115 + (-27)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2568.6 + -2569. Which is the closest to 1? (a) -1 (b) 2\/9 (c) j (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5878.07 + 5846. Let l = -32 - h. Round l to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1)\/3*(-23)\/((-414)\/(-162)). Suppose 0*h + s*h = 411. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22220365 divided by -821?\nAnswer: -27065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2*q**2 + 16*q + 1. Let s be v(-8). Let y(w) = w**3 + 4 + w + 2 - 14 + 0*w + 9. Let n(r) = 3*r**3 + 2*r**2 + 2*r + 4. What is s*n(d) - 2*y(d)?\nAnswer: d**3 + 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be 116\/6 - 4\/(-6). Let z be (390\/(-36))\/(-13)*45\/75. What is the third biggest value in z, p, 4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.9163 - -2582.9.\nAnswer: 2583.8163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 7*l**3 - 10*l**2 + 4*l + 44. Let f(q) = -6*q**3 + 9*q**2 - 3*q - 37. Let r(a) = 6*f(a) + 5*n(a). What is r(6)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 - 2)*(-11346 - 549*z + 11346) + 0*z - 2*z + 4*z.\nAnswer: 551*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7742 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 5 - 5)*(-3 + 4 - 3)*(3*w - 3*w + w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(6*5\/3860). Suppose -5*a + o - p = -6*a, -2*a = 5*o - 775. What is the highest common factor of 35 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 6*j - 152. Let a be r(26). Suppose 9*b - 4*u - 1643 = 4*b, -a*b + u = -1310. What is the remainder when b is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -103, 1, 10 in descending order.\nAnswer: 10, 1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 + 4 + -9)\/(-2). Suppose j*t = -14*t + 1080. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 5*k + 32. Let a = 105 - 104. What is the remainder when (-2)\/((-4)\/(-2))*-71 is divided by f(a)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-24)\/(-28))\/((-1)\/(-7)). Suppose 68*c - 63*c = 370. Suppose -20 = j*n - c. What is the highest common divisor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3181159 - 0.15.\nAnswer: -3181159.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -15*j**2 - 3*j**2 - 1 + 2*j**2 - 5648*j + 5625*j as c*j + x + n*j**2 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -14\/129581673?\nAnswer: -14\/129581673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8448096731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 + -12 + (-13 - -26) + (6 - -23).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -2*u. Let q(f) be the first derivative of 7*f**6\/360 - f**4\/24 + 58*f**3\/3 + 7. Let j(x) be the third derivative of q(x). Determine j(s(b)).\nAnswer: 28*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 136 and 168?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 5 - 15 = 0. What is the lowest common multiple of 2 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16\/23 > 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p**2 + 14*p + 18. Let q be b(8). Suppose m - 43 = -k - 40, -q*m = 4*k - 14. Is -1\/25 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 62 + b757?\nAnswer: b7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-14))\/((-15)\/21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 + -2 + 1 + (8 - 3). Suppose -i - o*d + 30 = 0, -2*d = -i - 2*i + 22. Let z = 2 - -20. Calculate the least common multiple of i and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 345 and 738507?\nAnswer: 3692535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*t + 3*t. Suppose -z = -t - 92. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2072 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**3 - 3*c**2 + 1. Let s(y) = -3906*y**3 + 30*y**2 + 5939*y - 10. Let w(k) = -s(k) - 10*z(k). Find the second derivative of w(n) wrt n.\nAnswer: 23496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnng?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 83993 is divided by 13987.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**3 - 3*q**2 - 3*q - 5. Let l be t(-5). Let w = 24 + -22. Suppose 0*o = w*o - l. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -1\/4 (c) -0.06 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that 2*y**2\/3 - 38*y\/3 + 176\/3 = 0.\nAnswer: 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 9*w - 5*w + 71 = 0, 0 = 6*q - 6*w - 120 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -931\/377 + 33\/13. Let x = -1257.4 + 1258. Is h bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -40, -81, -156, -271, -432, -645?\n\"Answer: -j**3 - 11*j**2 - j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 55590 = 263*o + 47174 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 5*x - 15, -3*x = -1 - 2. Let w(h) = -7*h - 5*h**2 - 6 + h**3 - 2*h**3 - 2*h**2. Let u be w(-6). Solve g - 2 + f = u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-14)*1190\/(-1700))\/((-26)\/16)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -13*c. Let x(h) = 38*h + 23*h - 61*h + 25*h + 1 + 13*h. Give x(a(w)).\nAnswer: -494*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = x - 2. Let r = 23 - 32. Let b be r\/6*(-8)\/(-9). Are b and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -146 by -73.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 123*s**2 + 129*s**2 - 254*s**2 - 13*s - 5*s - 5 - 27. Determine k(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 0, -10*r + 5*r - 970 = -2*b. Let f = b + 8792. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42 - 42 - 48028*g + 48043*g.\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in fifty-nine fifths of a micrometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 204 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 193543\/150 + -1290. Calculate the common denominator of -73\/600 and h.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2178*f**3 + 14*f**2 + 21 wrt f.\nAnswer: -13068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -791 - -790.8. Which is the biggest value? (a) 0.3 (b) r (c) 0.1 (d) -0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1177456051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -99\/15038 and 101\/68.\nAnswer: 511292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.43 + 2.659. Let c = b + -0.2290151. Round c to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dv when two letters picked without replacement from ddavppddvddddsppd?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the first derivative of 11*p + 16\/3*p**3 + 9 - 7\/6*p**4 - 4*p**2. Let z(k) be the first derivative of g(k). Solve z(i) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 482017101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000017 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -12891*i + 45. Let f be a(2). Let c = f - -60517. Round c to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1091419*u**4*x**2 + 2*u**4*x - 101982*u + 2*x**2 wrt u.\nAnswer: 13097028*u**2*x**2 + 24*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 divided by 32.\nAnswer: 25\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (5 - 13 - -19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/735 and -20\/21?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -4*t - 30. Let y be p(-9). Suppose 3*c + 5*m + y = 5*c, m + 12 = -5*c. Is c*(2 + (-3175)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5\/37 (b) -0.3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9, -91, -319, -765, -1501, -2599, -4131, -6169?\nAnswer: -8785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s\/(s\/s**15)*s*s)\/s**4*(s**(-4\/3))**(3\/5) assuming s is positive.\nAnswer: s**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 5*a**3 + 2*a**2 - 2*a - 4. Suppose -12*i + 24 = -0. What is the units digit of m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0 (b) 2 (c) 2\/13 (d) 4\/17 (e) -33 (f) -4 (g) 0.001\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c - 2*r - 6, -c = -5*r + 3*r - 1. Let p(b) = b**3 - 4*b**2 + 4. Let z be p(3). Put z, c, -3 in decreasing order.\nAnswer: c, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -1, -2 in decreasing order.\nAnswer: 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 67 + -133\/2. Which is the second biggest value? (a) -6\/7 (b) -5 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8714457 to the nearest integer?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 4*j - 3. Let i = 5 + -3. Suppose -i*t = 3*t - 25. Let q(r) = 2*r - 1. Suppose 16 = -h - h - 6*h. Give h*y(w) + t*q(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(2\/9)*h)**(-20)\/(h**(-7\/3))**(4\/7))**(-5\/7) assuming h is positive.\nAnswer: h**(1940\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*b - b - 2*b)*(5 + 0 - 3) + 0*b - 2*b + 0*b + 3367132511 - 3367132511 + 78849*b to the form w + v*b and give v.\nAnswer: 78845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -682*b + 297*b + 1083*b + 2875*b as w + j*b and give j.\nAnswer: 3573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1724 - z + z + 2*z**2 + 1584 - 3286.\nAnswer: 2*z**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 233*f**2 - 13*f + 16. What is the remainder when k(1) is divided by 167?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 2*h + 75739 = -18053, 0 = 5*j + 2*h - 234445. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 35860218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of r**8\/3360 - r**7\/1260 - r**4\/6 - r. Let v(b) be the third derivative of g(b). What is the third derivative of v(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 e, and 1 x when three letters picked without replacement from ezxfk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tjjttt. What is prob of picking 2 j and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2586*s - 329*s = -112850 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:56 PM and 2:17 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 16*l - 20. Let m be z(2). Let u(y) be the first derivative of 3*y**4\/2 - 5*y**2\/2 + 5*y - 1. Let i(h) = 15*h**3 - 12*h + 12. Give m*u(k) - 5*i(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -76 or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.01556935+0.1\nAnswer: 0.08443065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -30 divided by -42576?\nAnswer: 5\/7096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - 11*g**2 + 251*g + 1788. Determine t(-16).\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r = -69 + 181. Solve 3*b + 5 = -5*x, -r = -3*x - 6*b + 8*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30236075?\nAnswer: 5, 173, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*k**5*v**3 + 20346*k**5 + 2*k**2 - 3*k*v + 2*v**3 + 91 wrt k.\nAnswer: -120*k**2*v**3 + 1220760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes after 12:18 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 76 + 57 - 4*n + 46. Let o be b(29). Is 62 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -17? (a) 3 (b) -4 (c) -8 (d) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/336)\/(-5 + 928\/192).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3559 or -3621?\nAnswer: -3559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of p**6 + 1676*p**5 + 65*p**3 + 1593649*p**2?\nAnswer: 120*p**3 + 100560*p**2 + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 178977, 179831, 181259, 183267, 185861, 189047, 192831, 197219?\nAnswer: 202217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i**2 - i + 2. Let o be g(2). What is the highest common divisor of 88 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 35691 (base 15) to base 8.\nAnswer: 514374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*q = 19*q + 7*v - 1, v + 9 = 9*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, k: 3, u: 2, l: 1, m: 5, j: 1}. Give prob of sequence umu.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -p**3*s + 195*p**3 + 148*p**2*s - 7*s - 196334 wrt p.\nAnswer: -3*p**2*s + 585*p**2 + 296*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 9, a: 3}. Give prob of sequence vav.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -878 or -881?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a + 0*a - 5*a)*(3*a - 3*a + a + (-2 + 2 - a)*(1 + 1 + 0))*(5*a + 9*a**2 - 5*a) + 31*a**4 - 12*a**4 - 16*a**4.\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h + 1. What is x(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the third derivative of 145*q**4\/24 + 4*q**2 + 292. Let i(v) = -15*v. What is i(s(n))?\nAnswer: -2175*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/23380835 or 0?\nAnswer: -2\/23380835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -159 (base 10) to base 13\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 8*n - 31. Let p be j(4). Calculate the greatest common divisor of p and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3736*w**3 - 681876*w**2 + 338562*w**2 + 339213*w**2 wrt w.\nAnswer: 22416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -891*c + 7737. Calculate h(10).\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(792)*-2*5)\/((sqrt(160)*1 - sqrt(10))\/sqrt(5)).\nAnswer: -20*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 121 and 16489?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 32943882?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/15 - (4\/4)\/(-5). Let x(b) be the first derivative of 1 + 4*b**2 + i*b**3 + 6*b. Determine x(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes after 5:24 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 2 = -3*l + 14, 5*l - 22 = -j. Suppose -8 = -3*w + 10. Suppose 0 = -2*x - b + 10, w*x - 5*x = -b + 6. Sort x, j, -5.\nAnswer: -5, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(32\/(-2) + (-69690)\/(-4343))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 647226400 to the power of 1\/2, to the nearest integer?\nAnswer: 25441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 611, 1228, 1847, 2468, 3091, 3716?\nAnswer: 4343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-3) - (2\/8 - -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44819038?\nAnswer: 2, 11, 17, 293, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*w + 3188 = 3151 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c - 334 = -350. What is v in 2\/7 - 2\/7*v**c + 0*v = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that -664*g**2 + 1512596*g - 9112 = 0.\nAnswer: 1\/166, 2278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*r - 30*r - 7*r + 5*r - 4*r + 12*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2932726121?\nAnswer: 13, 17353409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + -36 + (7 - (-8 - -9)) - -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 2*w + 2 = 0. Let l = w - -2. Solve l = 2*u + 5*g - 19, 4*g = 2*u + 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2256 - -2242. Sort -12, -1, 2, w in descending order.\nAnswer: 2, -1, -12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -18*f + 2*w + 10, 18763 = -f + w + 18752 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 + 53. Let p = -22 - s. Let t = -55 - p. Sort t, -7, 0.2 in decreasing order.\nAnswer: t, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**6*m)\/m)\/m**(-1)*(m**(-2\/5)\/m*m*m*m)\/(m\/m**(-3\/7)))**(-7\/3) assuming m is positive.\nAnswer: m**(-251\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 + 1. Let f = 90.2 + -87.7. Which is the fourth smallest value? (a) f (b) 0 (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = 106*s - 102*s - 2*j, 10 = s - j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 3.448905 days?\nAnswer: 297985392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9 - 10. Let t = 1.5 - 0.5. Let y = t - 0.7. What is the nearest to y in -2\/3, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 u when four letters picked without replacement from ttguuttgutttu?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11963510 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 76320721687.817 - 0.2.\nAnswer: 76320721687.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1020 and 1020?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2\/5 - 1440708*g\/5 + 259454942658\/5.\nAnswer: 2*(g - 360177)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -807.42759132 minus -3?\nAnswer: -804.42759132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 10150 and 2048879?\nAnswer: 102443950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -q**2 - 7*q - 2. Let k(j) = 4*j + 22. Let i be k(-7). Calculate b(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 102 and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 978917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0.04, -0.11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 118 - 2*t**3 - 76 + 4*t - 43 + 2725*t**2 + 603*t**2 to p*t + s + c*t**2 + b*t**3 and give c.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 67\/4 of a decade?\nAnswer: 2010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*k + 1 = -17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.032 + 1.032. Which is the second smallest value? (a) t (b) 3\/5 (c) 0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -14) + (-13 - (-2 - 11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 969199018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(1 + -2) - -2. Suppose 44 = 9*p - 10. Solve -k = d - p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**3 - 3*l**2 - l + 3. Let w be f(-3). Let o be (6\/(-5))\/(w\/(-15)). Let u(q) = -o*q**3 - 2*q + 1 + 2*q**3 + q. What is u(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = 3*p + 4*l + 17, -2*l = 2*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1542*n**2 - 1590*n**2 - n**3 + 29*n**3 + 3 to the form d*n + y*n**2 + b + u*n**3 and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/11, 0.0901, 2, -1, -9959, 1\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3115*v + 55 = f + 3114*v, 0 = -2*f + 5*v + 272 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zdwwjjjzzddjj. Give prob of picking 3 d.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.08 + 0.13. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -a147 (base 12) to base 3.\nAnswer: -212222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -j + 0*j - j + (2 + 2 - 5)*(0*j + 3*j + j) + j + 2*j - 2*j + 2*j + j - j + (2*j - j + j)*(4 + 0 - 2).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 354, 294, 244, 210, 198, 214, 264?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 52, 21, 1, -5, 5.\nAnswer: -5, 1, 5, 21, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -58220*y - 2445250. Calculate l(-42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dlrdlrldrrdrr. What is prob of sequence rlll?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 388737470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 13*k**3 - 7*k**2 + 4*k + 7. Let y(w) = 12*w**3 - 6*w**2 + 4*w + 6. What is 6*v(n) - 7*y(n)?\nAnswer: -6*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + -1 + (0 - 0) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 7334502, 7334506, 7334510?\n\"Answer: 4*n + 7334498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 54*o - 645. Give b(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14154?\nAnswer: 2, 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 + 4*h - 13. Is p(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 35 + 12500?\nAnswer: 12535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (376*u - 515*u + 487*u)*(-12*u**2 + 19*u - 19*u).\nAnswer: -4176*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 7*m - 3*m - 4*m + 6*m. Let a(p) be the first derivative of p**2\/2 - 3. Calculate q(a(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*n - 19*w - 51, 1 = 2*n - n + w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, -10, 27, 3, -77.\nAnswer: -77, -10, -1, 2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 PM and 10:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -713*q**3 + 5*q**2 - 15*q - 5. Let l(y) = 713*y**3 - 6*y**2 + 18*y + 6. Calculate -6*g(s) - 5*l(s).\nAnswer: 713*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 - o + 4. Let i be u(0). Let l = 7609 + -7613. Put 5, i, l, -3 in ascending order.\nAnswer: l, -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -330, -675, -1020, -1365?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132) + (2*sqrt(132)*-6 + sqrt(132) - sqrt(132)) + sqrt(132) + 4*sqrt(132)*-6)\/(5*6*4*sqrt(132)\/sqrt(11)).\nAnswer: -17*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9.2 + 1.7. Let a = -8 - d. Let h = -614 - -600. Sort h, a, 0.4 in descending order.\nAnswer: 0.4, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 811.285 millilitres in litres?\nAnswer: 0.811285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(110)\/(-1*sqrt(10)) + sqrt(11) + ((1*sqrt(1331))**2 - sqrt(1331) - sqrt(1331)) + sqrt(11).\nAnswer: -21*sqrt(11) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 4*k = -2*j, 4*k + 10 = j. Let r be (0 + -6)\/(j\/(-1)). Suppose 3*c + 2*q = -r*q + 24, 4*q - 3 = 3*c. Solve m - c = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n + 5*n = -10. Let o be 12\/18*(-3)\/2. Let i = 1 + o. Which is the nearest to i? (a) n (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 + -19. What is the tens digit of (212\/n)\/(4 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12701 divide 3417764625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 126 = -20*a - a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 2*b**2 + 6*b + 9. Let x be m(-7). Let k = x - 29. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 172 and 4988.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 5*b - 18, 0 = 3*i + 4*b - 64. Suppose 0 = -4*o - 71 + 195. Calculate the remainder when o is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 1 = 2*q, 4*q = o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2035543 (base 6) to base 13\nAnswer: -35a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.93 and -4.029.\nAnswer: -3.74697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -32 times 1.415?\nAnswer: -45.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 370828644 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-176)*6)\/((-6495)\/4330)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 28829990 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 1613*n + 12 = -1610*n, 3*n - 30 = -5*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 14874 divided by -201?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 2256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w**2 + 3*w + 1. Suppose -2*b + 6 = -p + 3*p, 4*p = 0. Calculate x(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d*d*d**(-1))**9)**(-44)\/(d**(2\/3)*d**2)**(-40) assuming d is positive.\nAnswer: d**(-3244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 55, 59, 63, 67, 71?\n\"Answer: 4*f + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 205383781 by -5550913.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/(63\/15)*-38717. Is j\/6 + (-24)\/144 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/19 and -51\/16321?\nAnswer: 16321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -4. Let c be (-3 - (1 - 2)) + t. Suppose -2*s + 4 = 2*s. Is c at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*i = 8*i + 36. Let m(p) = 25 + 2*p + 2*p - i*p - 20. Calculate m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -30? (a) 2 (b) 1\/2 (c) -3\/4 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 309 (base 15) in base 16?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**1*c*c)\/c)**12*c**(-4)\/c**(3\/14) assuming c is positive.\nAnswer: c**(445\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*k = 22*k - 36*k + 12*f - 30, 0 = 4*k - 3*f + 39 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 850 + -422. Let k = o + -236. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13 - -15. Find the third derivative of o**2 - 6*o**3 - 2*o**3 - 4*o**v wrt o.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-113 + -7 - 3) + -6 - (25 + 16 - 52).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 155*s**2 - 2*s + 119 - 155*s**2 - 2*s**4 + 118 + 235*s**3 - 233*s**3 in the form b*s**3 + x*s**4 + p*s**2 + j + m*s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 - 1 + 1. Let c = -1540 + 1544. Let w(h) = -13*h**3 - 4*h**2 + 18. Let s(l) = c*k(l) + w(l). Differentiate s(t) wrt t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of -c**6\/360 + 91*c**5\/60 - 6517*c**4\/24 + 123823*c**3\/18 - 3720*c**2. Factor p(n).\nAnswer: -(n - 133)**2*(n - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4752731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - b + 22 = 0, 4*m = -4*b + 21 + 7. Let t(o) = -o**2 - o - 1. Let i(j) = -j**3 - 5*j**2 - 5*j - 5. Let v(w) = m*t(w) - i(w). Factor v(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence la when two letters picked without replacement from {a: 17, l: 3}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 46 + -45.5. What is the second smallest value in v, 4, -0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9 and 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 3592 = -c, -x + 5*c + 1043 = 315. What is x rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 125, 967, 3259, 7727, 15097?\nAnswer: 26095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1961*l + 399332 - 29285 = -1930*l. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30056950 and 590800.\nAnswer: 240455600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from obobbooo?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 80148 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 2 - 5)*(0*q + q + q) + (-1 - 3 + 2)*(-3*q + 3*q - 2*q)*(0 + 1 + 0) in the form t*q + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 35*n**2*r - 89768*n**2 - 11*n*r - 43882*r wrt n?\nAnswer: 70*r - 179536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -13120 = -4421*p - 1109*p - 1030*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19\/116 + 327\/580. Let x = 106.917 + -107. Is j >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 199342 divided by 374\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -2*o + 6*o - 308, -2*f = 8. Suppose o = 4*u + 24. Solve 0 = -3*d - d - u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (3 + 3*(sqrt(448) + 2) - (-4 + (sqrt(112) - (-2 + sqrt(112)) - sqrt(112)) + -2)).\nAnswer: 11 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -31*h**5 - 3*h**5 - 14*h**5 + (5 - 2 - 5)*(4*h**5 - 2*h**5 - h**5).\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*x + x - 5*d - 8 = 0, -5*x + 4*d + 19 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 284 - 197. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11.87 + 12. Let k = -0.07 - q. Which is the nearest to k? (a) -1\/4 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 5, i: 3}. Give prob of picking 2 i.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/8 and 39\/616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -50*w**2 + 34*w**2 + 435*w**2 in the form j + k*w**2 + r*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 55\/16 + -683\/144. Let n = -127\/2899 + -237569\/69576. What is the common denominator of v and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 29, 2, 7, 1 in ascending order.\nAnswer: 0.1, 1, 2, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -5*g + 31. Suppose -15*r - 62 = -2. Let f(w) = -5*w - 1. What is the remainder when y(r) is divided by f(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 210\/25*(-3220)\/(-2254).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 62 = 4*l - 56, 0 = l - 2*d - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2328, 4655, 6984, 9315, 11648, 13983?\nAnswer: 16320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (134 - 134 + 35*u)*(-2*u + 3*u + 7*u) + (2*u - u - 3*u)*(0 + 2*u + 0) - 3*u**2 - 3*u**2 + 4*u**2.\nAnswer: 274*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of b**6\/300 - 7*b**5\/15 + 203*b**4\/60 - 134*b**3\/15 - b**2 + 3. Find g such that n(g) = 0.\nAnswer: 1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the third derivative of 0 + 0*p + 39*p**2 + 11\/6*p**3 - 1\/40*p**5 - 5\/24*p**4. Let b(m) be the first derivative of x(m). What is b(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-54*v + 161*v**2 + 54*v)*(-46 + 73 + 7*v - 6*v) to c*v**2 + w*v + o*v**3 + i and give c.\nAnswer: 4347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 10128822391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2921887.99998 + 2921862. Let p = 26 + u. What is p rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -7*k + 2. Let p(o) = -2 - 8*o + 4 - 1. Let a be (8\/((-240)\/(-54)))\/(-4 - 222\/(-60)). What is a*l(n) + 5*p(n)?\nAnswer: 2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from xqqqqqqxloqqqxxlqqql?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*d + 115 = 2*d + 41*f, 13 = -4*d + 3*f + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**2 - 135*b + 39332. What is d(142)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.37 + 12706.97602865?\nAnswer: 12707.34602865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-3)\/(-2))\/(12\/40). Let o be 1 + 0 - (-5 + b). Let j(l) = 1 - l**2 - 4*l**3 - 4*l**2 + 3*l**2. Give j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -961.9999563 - -962. What is i rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 143 = d + 22, 2*d - 5*m - 267 = 0. List the prime factors of d.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 53.07389657895 and 0.16.\nAnswer: 53.23389657895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.3, -1.8, -229, 4.49?\nAnswer: 4.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 3*v + 6. Suppose x - 7 = -2*k + 5, 0 = -2*k - 5*x + 12. Let t be (-4)\/k + (-30)\/9. Give h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of 1\/70*a**5 + 0*a**3 + 0*a**2 + 1\/105*a**6 - 1\/147*a**7 + 3*a - 1\/42*a**4 + 0. Factor f(k).\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11\/(-2)*74*2. Let r = -429 - n. Suppose 0 = 4*b + b - r. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 724 and 162.\nAnswer: 58644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 271, 701, 1511, 2779, 4583?\nAnswer: 7001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1392 - -1394. Let p be (1 - 1) + (-2 - -2). Suppose p*q + 4*q - 27 = -s, -5*s = z*q - 117. Solve -8 + s = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -552433?\nAnswer: -552431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in 1, -1, 15, 4\/5, 5, 6\/97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add -0.416 and 4.39.\nAnswer: 3.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 92 = 4*w, 3*w - 5*j + 19 = -79. Let i be (-2)\/(-1) + w\/10. Let q = 0.5 + -2.5. Which is the second biggest value? (a) q (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away -8972?\nAnswer: 8971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 + 7*k**2 - 6*k. Calculate u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/(-8) + (-5 - (-366)\/24). What is the closest to -1 in -0.3, m, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, a: 2}. Give prob of sequence aa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -3*f + 7. Let j(h) = 3*h - 6. Let s(n) = -5*n - 155. Let b be s(-32). Give b*o(a) + 6*j(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 64 - 29. What is the highest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -392b2 (base 13) to base 9.\nAnswer: -171280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2736033 at most -2736033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 113 - 111.955. Let j = l - 0.045. What is the biggest value in j, -0.5, -1.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, p: 2, k: 2}. Give prob of sequence dpk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**3 + 4*n**2 + 3. Let b(t) = -t + 25. Let v be b(15). Let z = v - 14. Give q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14659 + 20419 = 128*f for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3091\/25290 + -2*2\/18?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 75687433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1098054231*u**5 - 1106703711*u wrt u?\nAnswer: -21961084620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(1\/4)*n**(-1\/13)\/n*(n**2)**(-33) assuming n is positive.\nAnswer: n**(-3475\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 - -21. Round d to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 0.14, 24, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 5. Let u be y\/(-10) + (-85)\/(-25). Suppose 0 = -4*m - u*n - 12, -5*n - 9 = 4*m + 11. Solve 5*v = 2*h - m*h - 14, 0 = -h - 4*v - 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 0 - 83*s**3 + 4*s**2 + 87*s**3 to x*s**2 + j*s**3 + i + y*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1, -1\/16, 46.4, -0.1.\nAnswer: -1, -0.1, -1\/16, 0, 46.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 3 + 2 + f)*(-37 + 0 + 6)*(0 - 4 - 5) - 2 - f + 2 to the form d*f + j and give j.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 5*k**4 + 3 + 4*k + 3*k - k**4 + 3*k - 6*k - 4*k**3 in the form v*k**4 + z*k**2 + c + s*k + i*k**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1981)\/(-42) + 2\/(-12). Suppose 6*f - 4*f = 92. Suppose 3*l + 2*y = f, 0*l - 3*l + c = y. Is 15 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 0. Let x = i - 0. Let h be 12\/24*1*-1. Which is the closest to x? (a) 5\/2 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 187842.\nAnswer: 2, 3, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 118*d - 112*d - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2535 and 30?\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 70 = 1030. Calculate the remainder when m is divided by 57.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve s + 1 = -p, -3*s + 592*p - 597*p = -3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 63*h**6 - 16*h**2 - 97*h**6 - 14*h**2 - 12*h**2 wrt h.\nAnswer: -4080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 70 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7820912 is divided by 313.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 10 = -a, -2*n - a - 3*a = -12. Suppose 6*u + 31 - 103 = 0. Suppose u + 44 = 7*y. What is the remainder when y is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1798087*n**2*o**3 - 13*n**2*o - 418651*n**2 + 15*n*o**3 wrt o.\nAnswer: 10788522*n**2*o + 90*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 4665279, 4665277, 4665275, 4665273, 4665271, 4665269?\n\"Answer: -2*l + 4665281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 2*c + 1165 = 3*b, 0 = -5*c - 3*b + 2917. List the prime factors of c.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -0.5, 63, 2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 - 6. Solve -4*m - t*h + 10 = -2*m, h - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 856 is divided by ((-4)\/6)\/(116\/(-13746)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/14 and 111\/14896.\nAnswer: 14896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10310534 is divided by 348.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-428)\/(-2675))\/(2\/(-10))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 17) + (5 - 12) + 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 7:08 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 124152135 a multiple of 1195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2516890177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 51951*z + 14857980. Determine g(-286).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 + 1 + 2)*(2*b + 4*b - 3*b) + 0*b + 3*b - b as p + o*b and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s - 10. Let u(k) = -19*k + 19. Let j(y) = -6*i(y) - u(y). Calculate j(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (82\/(-5))\/(12*(-25)\/900 - (-4)\/30). Let w = -18 + 88\/5. Which is bigger: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 2*s = -34, 2*s + 5 = -1. Suppose 5*d + 2*l - 54 = 0, -2*d + 38 = d + 4*l. Calculate the smallest common multiple of f and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/3*x**5 + 0*x - 8*x**3 + 0 + 0*x**2 - 4\/3*x**4.\nAnswer: 4*x**3*(x - 3)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 0*w - 4*w)*(1 + 0 - 2)*(-1 + 4 - 4 + (-2 + 4 + 0)*(-1 - 1 + 4) + 0 - 2 + 0 + 64 - 25 + 23).\nAnswer: 252*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5023581 and -21.44?\nAnswer: 5023602.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 23 (base 8) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**3 + 0*u**3 + 0*u**3 + (u + 2*u - 2*u)*(-4 - u**2 + 4) + 7*u**3 - 3*u**3 - 3*u**3 + (-u**2 + u**2 - u**3)*(4 - 1 - 25))*(u**2 - 2*u**2 - u**2).\nAnswer: -42*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 552101121 a multiple of 369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 421 greater than 423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-119)\/(-68) - (-2)\/(-4*2). Let p be (-4)\/33 + (-4)\/(-6). Which is the nearest to 0? (a) m (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(44)\/(sqrt(20)\/sqrt(5)) - (0 + sqrt(11) + 5) - (4 + sqrt(11) + (sqrt(11) - (-1*sqrt(11) - sqrt(11)))*-3 + sqrt(11))) + -2).\nAnswer: -33 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 85*p**5 - 3815*p**4\/3 + 395*p**3 + 33635*p**2\/3 - 10440*p + 2100 = 0.\nAnswer: -3, 5\/17, 2\/3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 9 + -17 + 1 + -3 - 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1c - 2dc?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 + b**2 + b + 2. Let g be i(0). Let y(f) = 2*f - g*f + 3*f + 2*f**2 - 2 + 4. What is y(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -247 - -246.99. Put g, 0.1, 8, 1 in descending order.\nAnswer: 8, 1, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -535*p - 4892. Let c(s) = -173*s - 1630. Let k(n) = -10*c(n) + 3*f(n). Calculate k(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 769 + 24*a**2 + 764 - 1534.\nAnswer: 24*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 3. Let v = 0.5 - 0.3. Suppose -6 = -2*m - 4*n, -5*m - 70 + 49 = n. Which is the second smallest value? (a) v (b) m (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -149*y**3 + 6*y - 6*y.\nAnswer: -149*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11 + -8. Suppose 72 = o*g + 3*n, -n = -g - 4*n + 32. What is the remainder when g is divided by (0 + -2 - 1)\/(30\/(-70))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -2*b**2. Let f be 12\/6 + (6 - 1). Let t(i) = f*i**2 - 8*i**2 - 4*i**2. Give t(l(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*s**5 + 3*s**4 - 1736*s**3 + 23*s**2 - 655*s + 2.\nAnswer: 180*s**2 + 72*s - 10416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (8\/(-32))\/((-1)\/(-2))*-8. Let d(c) = -c**3 + 4*c**2 + c - 4. Determine d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 134, -2, 5 in descending order.\nAnswer: 134, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 131284817 to the nearest integer?\nAnswer: 11458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 627266?\nAnswer: 2, 17, 19, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v. Let b(p) = -8*p + 2 + 1 - 3. Determine b(h(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -85.11415392 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(98) + 1 + 0)*-4.\nAnswer: -28*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that m**5\/4 + 29*m**4\/4 + 185*m**3\/4 + 367*m**2\/4 + 105*m\/2 = 0.\nAnswer: -21, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a. Let p(c) = -50*c + 1. Let k be 406\/(-377) - (-16)\/208. Give k*p(g) + 6*v(g).\nAnswer: 44*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6187 + 6489. List the prime factors of g.\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 - 205. Let p = f + 224.2. Round p to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -4*j - 6. Let y(u) = 7*u + 12. Let n(t) = -5*x(t) - 3*y(t). Let s be n(-8). Suppose b - 6*f = -s*f + 10, f = -b. Solve -8 = 2*k - b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -9*a - 9*a - 90 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + q + 6)*((-9 - 13 - 1)*(-2 + 4 - 1) + 445 - 1279 + 574 + 427) to the form c + g*q and give g.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -52*j - 25. What is the remainder when t(-15) is divided by 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 514 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 3506 = -6*j + 5*j, -5*m - 10418 = -3*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -86\/5 or 0.5?\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2771?\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o - 1. Let d(i) be the first derivative of 7*i**2\/2 + 8*i - 10. What is d(c) + 5*w(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(-3))**47*k**(-12)*k*k*k*k*k**(4\/13)*k*k assuming k is positive.\nAnswer: k**(-1296\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1655*m + 1643*m = -19068. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -16*f - 35. List the prime factors of z(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20 - ((-603)\/40 - -15)*(-17688)\/99?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 4\/7, 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.1 + 0.4. Let n = -1 + m. Let y be 2\/10 - 3\/(-5). What is the third biggest value in y, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -4404, -8757, -13110, -17463, -21816, -26169?\n\"Answer: -4353*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1\/3))**(-2\/15)\/(((j\/(j**(1\/2)\/j*j)*j)\/j)\/j**(2\/5)))**(-2\/9) assuming j is positive.\nAnswer: j**(1\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -1665 (b) 4 (c) -2\/7 (d) 5 (e) -1\/3 (f) 14609\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -640092 divided by -12.\nAnswer: 53341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-48)\/(-8))\/((99\/(-44))\/(366\/(-16)))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 130\/845 - 5696\/13. Let b = i - -1023. List the prime factors of b.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 14*c**2 + 20*c + 5. Let q(b) = 9*b**2 + 13*b + 3. Let a(x) = -8*q(x) + 5*z(x). Let f(m) be the first derivative of a(m). Is 20 a factor of f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1187059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v and 1 z when four letters picked without replacement from {z: 6, v: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (1 - (117 + -117 + -1 + 14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4170846 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence svvv when four letters picked without replacement from {h: 4, v: 5, y: 1, s: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1715 - -33055. Suppose -3*l + w = -0*l. Suppose -3*q = 24710 + l. Round q to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 786*x - 785*x - 12 = -2*z, -5*x = -7*z + 76 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(216)*-2)\/(sqrt(72)*-3).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*m**2 + 9*m**2 - 5*m**2 - 2*m**2 - 1123*m.\nAnswer: -m**2 - 1123*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + (2 + 498)\/4. Suppose -36 = -5*y + 3*y. Calculate the greatest common divisor of g and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 45501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add 0.1 and 0.010515.\nAnswer: 0.110515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g + 4*g - 4*g**3 + 5 + 3*g**3 + g - 4*g**2. Let l be b(-5). Solve z - 3*z + 4 = l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 80 + -48. Let m = 14 - o. Let s = m - -21. Which is the second biggest value? (a) -1\/10 (b) -5 (c) s (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/(-6) + -2)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 192, 2, -1, -44524 in ascending order.\nAnswer: -44524, -1, 2, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, -3, 5 in increasing order.\nAnswer: -3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4345 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37, 185, 333, 481, 629, 777?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**2 - 2*u + 194. Let n(a) = -2629*a. Calculate n(o(g)).\nAnswer: 2629*g**2 + 5258*g - 510026","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 805\/11 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 4. Let l be 8\/3*23*27\/18. Suppose 5*x - l = -d*z, 0 = 4*z + x - 100 - 0. Calculate the highest common divisor of z and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.68 + 0.18. What is the second smallest value in 3, f, -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -240 by 5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1324 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -121 + 119. Let x(h) = -85*h + 10. Let y be x(v). Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12*11\/(-154))\/(((-2)\/(-5))\/((-70)\/25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/132 and -107\/2024?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -64 = 44*u - 52*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*q + 66*q = 45705. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 3505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 5*g - 161 = 0, 2*s + 4*g = -525214 + 525094 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - 2*p + 3*i + 31, 4*p = -5*i + 39. Calculate the common denominator of p and (-4 + 105\/18)*54\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 219 + -39. Suppose h - r = -8*h. What is the greatest common divisor of 180 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23 + -21. Solve 1 + 3 = -z*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 118, -96, -728, -1988, -4086?\n\"Answer: -35*g**3 + g**2 + 28*g + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 5*q = 5301, -4*q = 13*x - 5*x - 10644. Calculate the greatest common divisor of 1610 and x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/(x*x**(-1\/5))*x*x))\/((x\/x**(-4))\/x)*(x\/(x\/(x*x*x**(-13\/5))))\/((x**15\/x*x)\/x) assuming x is positive.\nAnswer: x**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 42.37463 tonnes in micrograms?\nAnswer: 42374630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 529281?\nAnswer: 3, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 4*y - 12976 = 0, t + 2020 = -3*y + 6337. Suppose -t = 60*p - 66*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times -13565?\nAnswer: 67825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2060*r**2 - 428*r + 744*r + 909*r + 2259*r**2.\nAnswer: 199*r**2 + 1225*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(12))**2 + sqrt(6)\/sqrt(2) + -4)*3.\nAnswer: 15*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19\/1197*-42)\/(((-12)\/(-10))\/(-3))*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -792, -1583, -2372, -3159?\nAnswer: -3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (24\/(-8) + 4)*2. Find the third derivative of -3*x + 13449*x**2 - 13447*x**2 + p + 3*x + 158*x**5 wrt x.\nAnswer: 9480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 57 - -274166?\nAnswer: 274245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 244*w - 15522. Give z(64).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -29, -97, -203, -341, -505, -689, -887, -1093?\n\"Answer: d**3 - 25*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 - 2 - (-14)\/2. Suppose p = y*p. Solve p*f = -3*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2790 = -1364*x + 1747*x + 274 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -10111011 (base 2) in base 12?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-14))\/(312\/(-91))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -2134 (base 10) to base 15.\nAnswer: -974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -0.2 (c) -196 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**2 + m - 1. Let c(p) = -3*p**2 + 12*p - 2. Let i(y) = -c(y) + 2*s(y). Let x be i(-8). What is the remainder when 1\/((28\/x)\/7) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, 147, 11, -2, -0.2 in decreasing order.\nAnswer: 147, 11, 5, 0, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 301301 - -23222132?\nAnswer: 30130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 24308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -11, 3\/7, 2\/727?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 4*t - 15 = 0, -3*t = 2*u - 8*t + 18. Let s be 4 - 13\/((-26)\/(-14)). Let x = -143 + 142. Put u, s, x in increasing order.\nAnswer: s, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + (-4 - 2) + 66 + -58?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(960) - 2*sqrt(960))\/(sqrt(60)\/(sqrt(10)\/sqrt(2))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 3 (c) 28 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 5*b = -3. Suppose -5*f + 6 = b. Which is smaller: f or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5 + 2 + 1)*(1 - -1). Let n(r) be the third derivative of r**6\/120 + r**5\/15 - r**4\/8 + r**3\/6 - 4*r**2. Determine n(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4303 + 4301. What is the second biggest value in -1, -2\/99, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 465 divided by -3?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 392 and 1014776.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.05 (c) 4 (d) -26 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 289*s - 154. What is the tens digit of u(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2895497 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 110019396 to the nearest integer?\nAnswer: 10489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 219 divide 9359403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -933 by -3.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-1)\/3)\/(2\/(-18)). Let n = 10 - u. Suppose n*h - 225 = 2*h. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - -9 - -2) + -7 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17587126087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*v - 2*m, 6*v - 7*v + 5*m = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 101650938 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(396)*-2 - sqrt(396))**2 - ((sqrt(396)*-2)**2 + -2).\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 150 (b) -1\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -166 - -311. Let f(o) = o**3 + o**2 - 19*o + 146. Let d be f(0). Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 24 - 21. Solve -g*j + 22 = -5*u, -3*j - 3*u = j + 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27002442991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((2\/(-2))\/((-2)\/2))\/(1\/(-19))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 436\/7, -0.5, 5 in decreasing order.\nAnswer: 436\/7, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1466 = 90*h + 476. What is the greatest common factor of h and 1265?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 2*z + 3. Let o be u(9). Let t = -16 + o. Find the second derivative of 2*c**2 + 264*c**5 - 2*c**2 - 17*c - 277*c**t wrt c.\nAnswer: -260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 458\/25 + -265097\/225. Let t = 1161 + b. What is a in 8\/9 + 2\/9*a**2 - t*a = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/10)\/((-17)\/(-374)*77).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10198.\nAnswer: 2, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**21\/i*i))**(3\/16) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 50100 (base 6) to base 15\nAnswer: 1de6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.13 (b) 1 (c) 42 (d) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i - 2*v + 16 - 0, 0 = -3*i + v + 1. Suppose 0 = 2*f + 3*f - 25. What is the smallest common multiple of f and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 5, y: 13}. Give prob of sequence yu.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from bbcpbppbbccbcpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 231058 (base 10) in base 15?\nAnswer: 486dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - -7bc2?\nAnswer: 7bc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1195 - -1192. What is the nearest to -1\/2 in -4\/5, q, 5, 7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 92453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + 3*n + n)*(-2*n**3 + 0*n**3 - n**3) - 3*n**4 + 3*n**3 - 3*n**3 + 84*n + 87*n**4 - 84*n.\nAnswer: 78*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 2*i = -8, -3*b - 12*i + 6 = -9*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1398 and 15634533?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 + 18 + 1 + 0 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 122028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/24645 and -41\/120.\nAnswer: 197160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6447 is divided by 6426.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24 + -24. Let v(l) = -l**2 - 6*l + 10. Let p be v(-7). Let y be p\/(-6) + 5\/14. Is q smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3149520 is divided by 4002?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -369820*v**2 - 38792*v - 14 wrt v.\nAnswer: -739640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 10984*f - 57. Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1856 + 1853. Which is the closest to 2? (a) x (b) -2\/5 (c) 9 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 337860396087903 - 1\nAnswer: 337860396087902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14 - -10. Let z be (-24 - -3)\/(6\/c). Suppose -5*g + 6 = -k, -4*g = k - 1 - 11. Calculate the greatest common divisor of g and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-16)\/7*(-35)\/10. Calculate the remainder when 94 is divided by (114\/(-15))\/(t\/(-20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2 - 3*p - 28. Let w be v(7). Suppose h - 2 = -w*h. Let y = 3 + -1. Solve y = h*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386927 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1275625 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 + c**2 + c. Let w(h) = -6*h**3 + h**2 - 3*h. Let l = -22527 - -22526. What is l*f(v) + w(v)?\nAnswer: -5*v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 44 divided by -5?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 2*n + 16 = z, -4*n = z - 11. Suppose -4*b - 13 + 33 = 0. Suppose -b - z = -5*p. Put 3, -4, p in increasing order.\nAnswer: -4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the second derivative of n**4\/6 + n**3\/2 + 2*n. Let c be b(-5). Suppose -3*l + 3*d + 45 = 0, -3*l - 3*d + c = -4*d. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*h = -25*h + 6082. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 245508 - -7.\nAnswer: 245515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -949\/4 - -517\/2. Find the common denominator of 3\/(-12) - 422\/(-40) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t + 11. Let d be i(4). Suppose 0 = -c - 4*z + 7 + d, 4*c - z - 56 = 0. Solve -4*k - 4*m - 16 = 0, 3*k + m + c = -0*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -80*h - 289. Let q be k(-4). Suppose -l + 343 = v, 0 = 4*l + 3*v - 5*v - 1360. What is the highest common divisor of l and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -15, -32, -61, -108, -179, -280, -417, -596?\n\"Answer: -z**3 - 10*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -9*n - 139. What is r(-26)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 2:58 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -27*i + 485. Let z be v(18). Is 4\/991 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes before 1:22 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 2 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1752 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30\/(-27)*1*6\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2704 is divided by 160?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -196 by -5.\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -8620049 (b) 0.081 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**3 + 36*q**2 + 27*q + 185. List the prime factors of p(-27).\nAnswer: 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -b (base 15) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -268*u - 4*r = -272*u - 40, r = 4*u + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract -939582.6273 from 12.4.\nAnswer: 939595.0273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-8)*-1)\/((-75)\/(-10))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 19081590 by 11.\nAnswer: 1734690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0787 times 0.37?\nAnswer: -0.029119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/4, 32, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 497 and 25063?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 40928486 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 98 - 2*f + 4*f - 28 - 4*f - 36. What is w(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -224.13833 and -0.5.\nAnswer: 112.069165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v + 140 = -28*v. Sort 1, 6, v, 0 in descending order.\nAnswer: 6, 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 105, 96, 65, 0, -111, -280?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxxy when four letters picked without replacement from xxuuuxuxyxuuuux?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (0 - -1) - (-26 + 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -99, -0.1, 5, 3.\nAnswer: -99, -0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 1693\nAnswer: -4\/1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 3930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -486\/7, 10506?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 465 = -2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 70\/(-98)*(0 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = 4*m + 4*j, -138982 + 138924 = -m - 5*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j. Suppose 6*s + 922 - 916 = 0. Let i(g) = 7*g. Give s*i(k) - 3*c(k).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 - -11.9. Let x = q + -13. Let b = -0.1 - -1.1. Is x equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w - 2*w + 4*w)*(w - w + 4*w) + 2*w**2 - 1 + 1 - 3*w**2 + 7*w**2 - 2*w**2 + (3 - 4 - 1)*(3*w**2 + 0*w**2 - 4*w**2).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y, 1 z, and 1 r when four letters picked without replacement from {u: 6, t: 2, z: 1, y: 2, r: 1, p: 3}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -i**4*k - i**3*k - 2*i**3*v - 6*i**3*w + i**2*k + 2*i*k*v*w + 18*i*v - 2*k*v*w + 3*k*v wrt i.\nAnswer: -24*i*k - 6*k - 12*v - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 2*u**2 + 185*u - 351. Let f be i(-94). Sort -2, f, 1 in ascending order.\nAnswer: f, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 3495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 137442192 to the power of 1\/2, to the nearest integer?\nAnswer: 11724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1296\/3672*(1 - -16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 171 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 13725 and 75?\nAnswer: 13725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -44 > -29912\/677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find k such that 3*k**5\/2 + 465*k**4\/2 - 1191*k**3 + 1446*k**2 + 948*k - 1920 = 0.\nAnswer: -160, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2.84 (b) 1 (c) 5\/14 (d) -0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 3*z**4\/8 + 8619*z**3\/8 + 27921*z**2\/2 + 102987*z\/2 + 38610 = 0.\nAnswer: -2860, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 6*d**2 + 7*d + 7. Let a(b) = 7*b**2 + 7*b + 7. Suppose 30 = 2*l + 3*l. Let y(n) = l*f(n) - 5*a(n). Let k be (2 - 4 - 10)\/(35\/(560\/32)). What is y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -41 + 45.8. Let p = 1.2 + -6.2. Let d = p + j. What is the third smallest value in -2\/13, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/160 and 13\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 348033 is divided by 10876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 118.021328 rounded to 1 decimal place?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 20*d**2 + 0*d - d - 19*d**2 - 10. Let y be o(-6). Suppose 3*w - 25 - y = 0. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 3 = 12. Suppose 2*f - s*f - 9 = 0. Let q = -6 - f. Solve -4*c - c - y + 8 = 0, 0 = -c - q*y - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.06 + -0.36. Let k = 3 + -5. Which is the biggest value? (a) y (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -14.6, -2\/9, -137, 4, -1\/4 in descending order.\nAnswer: 5, 4, -2\/9, -1\/4, -14.6, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, x: 1, r: 1, s: 1}. What is prob of sequence xsr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 0*n**2 + 0*n**2 - 2*n**2. Let j(v) be the third derivative of v**5\/30 - 16*v**3\/3 + 1598*v**2. Give j(o(g)).\nAnswer: 8*g**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1605811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2664 and 3996?\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -9458*o**3 - 34*o**2 - 15*o + 45. Let b(f) = -2*f**2 - 3*f - 2. Let d(y) = -5*b(y) + s(y). Find the third derivative of d(p) wrt p.\nAnswer: -56748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**2\/v*(((v*v\/v**(-2\/5)*v)\/v)\/v)\/v*v**(1\/2)*v*v*v*v**(-1\/7))\/((v**(-2\/13)*v*v)\/v*v**4*v)**(-3\/46) assuming v is positive.\nAnswer: v**(107547\/20930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01736862 to 4 dps.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 56 + -50. Suppose 29 = -5*k + 69. Suppose -2*p + k = -0*p. What is the remainder when b is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 133767485, 267534971, 401302457, 535069943?\nAnswer: 668837429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-10)*-34 + 4\/(-10). Are k and -0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5278, -10557, -15836, -21115?\nAnswer: -26394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -53.96 - -54. Which is the third biggest value? (a) -3 (b) h (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -3*f**2 - 5*f - 2. Suppose -y + 34 - 36 = 0. Let a be l(y). What is the remainder when 13 is divided by (20\/(-3))\/10*78\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m - 3*m + 193 - 193.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the third derivative of s**6\/240 - 41*s**5\/40 + 1681*s**4\/16 - 68921*s**3\/12 + 953*s**2. Solve c(q) = 0 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24 + 72. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q - 12063 = -q - 11983 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3741.8 - -3926.87. Let m = -185 + n. Sort 0.1, -3\/2, m, 0.2 in increasing order.\nAnswer: -3\/2, m, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 355*h + 115737. Determine y(-326).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {l: 2, t: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5\/6 (b) 3032 (c) -0.5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -442*i**4 + 511?\nAnswer: -1768*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8276 at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -p**3 + 0*p**3 + 47*p**2 + p - 36*p**2 in the form b*p**2 + h*p**3 + y + s*p and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -45179 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 greater than or equal to -723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the second derivative of -2*s**3\/3 - 2*s**2 - 8*s. Let z be k(-2). Suppose -u - 2 = -z. Solve -u*d = -a + 2*a + 11, -4*a = d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.273 and 3.3862655.\nAnswer: 3.1132655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 - 2*q. Let a = -64 + 66. Determine b(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/12)\/(((-342)\/(-12))\/(-19))*-10\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -3. Let n be ((0 - p) + 1)\/2. What is the units digit of 4 + (1 - -1 - n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6*m**3 + 109*m**2 + 104*m - 873916 with respect to m.\nAnswer: 18*m**2 + 218*m + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - 17\/19) + (-616)\/1881. Suppose 6*y + 4 = 2*y. Let s be ((-2)\/(-12))\/(y\/(-4)). What is the nearest to -0.1 in s, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -175838 - 8411. Let u = o + 184248.20039. Let h = u + 0.8. Round h to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - w + 4, -358*m + 16 = -362*m + 4*w. Suppose u + 22 = 2*u. Solve m*s + 4*s - 2*r = u, -5*r - 25 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from erectfqrqetqeetferrq. Give prob of sequence cet.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -170*h - 8. Let i(q) = -q. Give l(i(s)).\nAnswer: 170*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 578600, 578601, 578602, 578603, 578604?\n\"Answer: v + 578599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 - 13. What is the greatest common divisor of 2 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g. Let c(h) = -5*h**2 + 3*h + 3. Let a(s) = 11*s**2 - 7*s - 7. Let q = 9 - 6. Let v(f) = q*a(f) + 7*c(f). What is l(v(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6.6 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -86 + -1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + 24 + 26. Let n(g) = g**3 + 11*g**2 + 8*g - 14. Give n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93, -904, -2265, -4182, -6661, -9708, -13329, -17530?\nAnswer: -22317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -131109351*h**2 - 30847872*h?\nAnswer: -262218702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 350340 and 5532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) -3151 (b) -3.9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 20. Let d(m) = -m - 1. Let c(n) = n**4 + n**3 - n**2 + 4*n + 5. Let a(v) = l*d(v) - c(v). Suppose a(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 2:06 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*a = -47*a + 27. Suppose 0*k = -a*k + 3759. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 64 and 11488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.03 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 3*k**2 + 16*k + 2. Let x(u) = u**2 - u + 1. Suppose 7*t = 3*t + 4. Let y(b) = t*j(b) + 6*x(b). Is y(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (10*v + 6 - 6)*(-17*v**2 - 45*v**3 + 50*v**3 - 28*v**2) in the form z*v + p*v**2 + w*v**3 + b*v**4 + s and give w.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((16\/60)\/1)\/(182\/455)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 + 0. Calculate the lowest common multiple of (-7528)\/(-28230) - 112\/(-30) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 467 divide 2239265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*h**5 + 28268*h**4 - 2*h**3 - 2413843*h - 1 wrt h?\nAnswer: 140*h**3 + 339216*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -20995184 divided by -749828.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bwawwewwebeaw. Give prob of picking 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (328\/12)\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 31 (base 11) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 - ((-11)\/((-22)\/(-4)) + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 6 = -y. Let k be (y + -1 - 10)\/(-2). Solve 5*f + 3 = 4*v - k, 3*v + 4*f = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**2\/8 - 1137*r\/2 + 516428.\nAnswer: -(r - 776)*(r + 5324)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -824*x + 4392 - 36992 = -9*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*s**3 - 68*s**2 + 33*s**2 + 3 - 8*s + 36*s**2 to the form p*s**2 + j + x*s**3 + m*s and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 17618, 35256, 52894, 70532, 88170, 105808?\n\"Answer: 17638*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.008 - -0.092. Let x = 453 - 517. What is the nearest to m in -2\/5, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 17 + -13. Calculate the remainder when 14 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*391113.52.\nAnswer: 195556.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1.73 - -368\nAnswer: 366.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + (14 - (24 - 17)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5842.\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 6*w**2 + 6*w - 5. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.02? (a) 3 (b) 0.2 (c) 4 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**2 + y + 18. Let s be r(0). Is (-22)\/(-99) + 194\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 10, 1\/3, 0.4, 4\/15, 12, -3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -10*y**3 - 12*y**2 - 6*y - 5. Let z(m) = 11*m**3 + 11*m**2 + 5*m + 4. Let x(d) = 5*i(d) + 6*z(d). What is the third derivative of x(g) wrt g?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03948705424 rounded to five decimal places?\nAnswer: -0.03949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 211 = 3*i - 678, 3*v = -4*i + 1224. List the prime factors of i.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10634, -21268, -31902, -42536, -53170, -63804?\nAnswer: -74438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 129628550 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/((((m*((m\/(m*m\/(m\/(m*(m\/(m\/((m**(-2\/21)*m)\/m)))\/m))))\/m)\/m)\/m)\/m)\/m))\/(m\/(m*m**7)))**12)**(2\/31) assuming m is positive.\nAnswer: m**(2000\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3 - (3 - (-2 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/569304 and 73\/11196312.\nAnswer: 33588936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -3*g - 2. Let x(m) = -m - 1. Let y(l) = -3*o(l) + 5*x(l). Let b(r) = -r**2 - 2*r - 2. Let d be b(-1). Calculate y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 143 and 377?\nAnswer: 4147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8524815 - 17?\nAnswer: 8524787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + -6*4*sqrt(76))\/(sqrt(4) + ((sqrt(12)*-1)\/sqrt(3) - sqrt(4))).\nAnswer: 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*m**3 + 0 - 204*m**3 + 0.\nAnswer: -181*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 180 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27415, 27416, 27417, 27418?\nAnswer: 27419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a\/(a**0\/a)*a*a**0)\/(a**(-2)\/(a\/(a\/a**4))) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4756*r + 21999*r + 10305*r.\nAnswer: 37060*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**(1\/7))\/(d**3\/d))**(-32))**(2\/95) assuming d is positive.\nAnswer: d**(384\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l - 3*l + 17 = -2*c, -4*c + 41 = -5*l. Let f be c\/6 - (-24)\/(-16). What is the closest to 0 in -5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -3*p - 1 + 13, -2*p = -2*z - 4. Is p\/(-8) - (-3 + 185997\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4709 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -64\/519 and 279\/(-35) - 20\/(-35).\nAnswer: 2595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1721 - -21409. List the prime factors of i.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -12\/32281 and -43\/722.\nAnswer: 1226678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -140 - -100. Let h = 1019 - 1053. Let l = s - h. Which is the biggest value? (a) l (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(300) + -4)**2 + 3 + -4 + sqrt(3))*-1.\nAnswer: -315 + 79*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate i**3*r + i**3 - 2*i**2*r**2 - 42*r**2 + 1 wrt i.\nAnswer: 3*i**2*r + 3*i**2 - 4*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*x - 2210 = -23*x + 1240. What is the remainder when x is divided by -2 + 4*(-11)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = 5*q, -3*l = 2*q + 17 - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59918944 is divided by 8450.\nAnswer: 8444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5\/6, -44, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 32170, 32229, 32318, 32431, 32562?\n\"Answer: -o**3 + 21*o**2 + 3*o + 32147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 137538 and 5660?\nAnswer: 1375380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttd when three letters picked without replacement from {a: 3, d: 4, t: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 0 + 2)*(5*j + 7 - 4*j - 2).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 - -19. What is the units digit of -57*(30\/h - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2.07 (b) -1 (c) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*k = 131*k + 189 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83284 = -116*h + 32*h + 170228. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, -5, 0.14, 0, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 3345, -2, -2505 in descending order.\nAnswer: 3345, -2, -5, -2505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*h**2 + 35*h**3 + 94*h**3 + 34*h**3 + 6*h**2.\nAnswer: 163*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 850\/(-25 + 0) - (-10 + 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = -693*g + 529*g + 1997 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (264\/3696)\/(13\/273*4\/1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -37351.13875 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 90.76709 + 0.04491. Let w = 90 - o. Let h = w - -0.8. What is h rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*s**3 + 10998738*s - 16541643?\nAnswer: -6*s**2 + 10998738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooxo. What is prob of picking 2 x and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -39*m**2. Let p(c) be the first derivative of -81*c**2\/2 - 3187. Give h(p(j)).\nAnswer: -255879*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v + 6. Let l be y(-5). Let k be 0 + (l + 0)*-1. Let o(d) = -117*d. Let c be o(k). Calculate the highest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + (-8 - -6) + (-3 + 10 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 41*-675.93\nAnswer: -27713.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-9 - -1) + (-11 - 8041\/(-429)) and 68\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/(-166)*(-1549)\/(-20). Let c = -9410 + 781066\/83. Let f = k + c. What is the common denominator of -61\/9 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2514.7 - -2513. What is the biggest value in c, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11101 - 10110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 12373531, 12373532, 12373533?\n\"Answer: r + 12373530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6615?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 AM and 5:51 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -28*q - 82. Let m be h(-3). Let t(f) = -f + 4. Let l be t(2). What is the second derivative of -15*j - j**m + 11*j + 4*j**l wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -950\/7 - -136. Which is the smallest value? (a) -1\/3 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18748253081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 5*p = -342 - 27, 5*a = -2*p + 634. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 11 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 11:41 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -9*u**2 - 3*u - 11. Let d(t) = -t**2 - 1. Let m = 1318 - 1340. Calculate m*d(i) + 2*x(i).\nAnswer: 4*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 5677954069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = -84 + 78. What is the second biggest value in h, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89522254 times 1?\nAnswer: 89522254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {b: 1, e: 1, r: 2, v: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12.037 - -0.037. Let i = t + 21. Which is the second biggest value? (a) -1\/7 (b) i (c) 0.5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/10 and 57\/338.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -402, -819, -1242, -1677, -2130?\n\"Answer: -q**3 + 3*q**2 - 419*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 16*w**2 + 1. Let h be u(-2). Suppose -3*i + 33 = -a - 4*i, h = -2*a - 3*i. Is (17\/a)\/((-1)\/1886) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j + 892 - 871 = 0. Differentiate -87*m**j + m - 238 + 96 + 26 - m wrt m.\nAnswer: -261*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 66 = -3*q, 0 = q - 5 + 3. Let u = m + 4. Let t = u + -22. Sort t, 2, 13 in increasing order.\nAnswer: t, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1204 and 36?\nAnswer: 4.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 19*x**2 + x - 2. Let m be f(1). Suppose 7*v + m = 4*v. Is -3 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11890 divided by -5.\nAnswer: -2378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*k + 2 = -30*k + c, -554*k + 559*k = -3*c + 50 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97661 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*n - 4*n**2 + 8*n - 3 - 2*n**2 + 3 + (-3 + 3 - 2*n)*(-2 - 2*n + 2) + 0 + n**2 + 0)*(-110*n**2 + 158*n**2 + 164*n**2).\nAnswer: -212*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 676615*o + 2 - 2.\nAnswer: 676615*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 2, y: 16}. Give prob of picking 2 f and 2 y.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/16 and -31\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 2 = a - 11, 4*v + 33 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 23\/(-46)*(1 + 0 - 5). Let v be u\/((-6)\/((-54)\/9)). Solve 7*l - 21 = -2*h + 2*l, v*l = 5*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9503*a = 8328*a + 34075 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110689.\nAnswer: 71, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 2463*c. Let d(r) = -9*r**2. Give y(d(i)).\nAnswer: -22167*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14*16\/280)\/(((-108)\/110)\/3).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (((sqrt(1100) + -2)*6 - sqrt(1100)) + sqrt(1100) + -1 + 0)*-2 + -1)**2*-6.\nAnswer: -954456 + 37440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 874118 and 721.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 68, 2, -9, -4, -2399, 10 in descending order.\nAnswer: 68, 10, 2, -4, -9, -2399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 188\/(-94)*(-9)\/(-60).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2097091 and -19.\nAnswer: 39844729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -25541.7 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-7035)\/18090*12\/2\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -274289 (b) -0.1 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {s: 1, z: 2, a: 6, w: 3, p: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -5*v + 4 - 3*v + 2*v - 1 in the form p*v + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 + 0*x**2 - 5*x**2 + 2*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 882053?\nAnswer: 521, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 68?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/103446 and -8\/2709?\nAnswer: 4448178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 43 + 7. Let g = q + -3. Suppose 0 = -5*r + 3*c + 142, -5*r + g = 2*c - 100. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5 + 30 + (-11 - -15). What is the second derivative of 132*r + 4*r**2 + 12*r - b*r**4 + 63*r + 10*r**4 wrt r?\nAnswer: -348*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (8 + (-1 - 5) + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3551 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 - 8. Suppose 0*u + h + 44 = j*u, 0 = 5*h. Suppose -35*l + 165 = -20*l. Calculate the highest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(136)\/(sqrt(32)\/sqrt(4))*3*6.\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert dc (base 15) to base 9.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-1 - 2 - (1 + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -277, 1, -0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12157 + -12093. Solve 6*u = -i + 76 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55080 and 1351395.\nAnswer: 1654107480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -30.94 + 30.9. Suppose -f + 2 + 2 = 4*c, -f + 4 = 3*c. Put 2, f, 1\/3, y in descending order.\nAnswer: f, 2, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (105\/14)\/(-15)*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1.3 times 4\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ijjjiijiijjjijjiiiij. What is prob of picking 4 j?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22650298.\nAnswer: 2, 11, 863, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -188 = 8699*q - 8784*q + 461 + 286 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 42408 and 72?\nAnswer: 42408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/31567 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -27*n**3 - 3511*n**2 - 111*n + 2472. Determine s(-130).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -57*g**3 - 180*g**4 + 57*g**3 + 85*g**2 - 85*g**2 + 190 wrt g.\nAnswer: -720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 + 216c?\nAnswer: 216b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -32 + 26. Is (c\/(-5))\/(2\/365) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 722223?\nAnswer: 3, 23, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13802.7 + 13888.613. Let d = 86 - s. What is d rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 + -27)*68\/(-16). Let j = n - 71. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-8 - -11) + 5 - -1745.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k - 4. Let f(m) = -4*m**3 - m. Let w be f(-1). Let o be -9 + (w - (0 + 2)). Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 209*f**2 - 3546*f - 107. Let q be v(17). Let c(y) = -y + 1. Let i be c(-4). Solve -i*h + 9*h = -q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -523 - -621034?\nAnswer: 620411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -4823482, 1, -2, 5, -5, 4 in ascending order.\nAnswer: -4823482, -5, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {w: 5, n: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 923*l**3 + 174*l**3 + 695*l**3 - 130*l**3.\nAnswer: 1662*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-502272)\/(-528))\/(-16) - -60.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13\/3 in 0.13, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are 0.1 and -0.15640523 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, b: 5, r: 1, i: 3, k: 2}. What is prob of sequence uru?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*i**3 + 5*i**3 - 7*i**3.\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 + t**2 + 3. Let w be x(0). Let p(i) = i**2 + i + 7. What are the prime factors of p(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) 0 (c) 0.079 (d) 452 (e) -0.5 (f) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/48)\/(2\/8)*12\/900?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v + 1. Let t(r) = -4*r + 7. Let n(o) = o**2 + o - 21. Let b be n(-5). Calculate b*t(a) + 6*l(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -636, -1311, -1996, -2697, -3420, -4171, -4956?\nAnswer: -5781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 66*n**2 - 2*n - 1. Let j be k(1). Let s = -78 + j. Which is greater: s or -16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 390*p**2 - 350*p**2 - 86*p - 531*p**2 - 672*p**2.\nAnswer: -1163*p**2 - 86*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 2\/40639?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is de (base 16) in base 6?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 702*r + 683*r - 1521*r + 4 - 4 + r + (3 - 1 + 0)*(0*r - 2*r + 4*r) - 5*r + r + 2*r - r + 1 - 1 - r + 2*r + r in the form w + a*r and give a.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 4) + 2 + -4 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -43\/210*i**7 + 0*i**5 + 7*i**2 + 0*i + 0*i**6 + 0*i**4 + 35\/6*i**3 + 3. Differentiate w(g) with respect to g.\nAnswer: -172*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 3*x + 1. Suppose 33*l - 24*l + 9 = 0. Let z(n) = -n**3 - 4*n**2 + 11*n - 7. Let v be z(-6). Let j(w) = -w - 1. Calculate l*d(q) + v*j(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**3 - 32*n**2 + 19*n - 251. Suppose -17*f + 50 = -12*f. Calculate the remainder when b(32) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -869496 divided by -2.\nAnswer: 434748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 247 - 2. Suppose -4*w + a + 559 = 0. Let b = w + -143. Calculate the greatest common factor of 145 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**2 - a + 1. Let d(h) = -2*h**3 + 4*h**2 - 12*h + 2. Determine d(g) - 2*p(g).\nAnswer: -2*g**3 + 2*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 53796652 to the power of 1\/2, to the nearest integer?\nAnswer: 7335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: 79713 divided by -8857\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**3 + 52*g**2 - 85*g - 273. Determine q(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -501.77 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away 42289283884897?\nAnswer: -42289283884901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1.127, -5, 2, -1\/12, 1, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put together -162 and 0.5.\nAnswer: -161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 116299 and 6099.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -1.2 (c) -1\/178 (d) 3\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -143232 - -324?\nAnswer: -142605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1673423 and -1.5?\nAnswer: 2510134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2457 and 950427?\nAnswer: 86488857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rkr when three letters picked without replacement from ddiikiidrdkdddddir.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -375052, -375050, -375048?\n\"Answer: 2*v - 375054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -409 (b) 4 (c) -2 (d) 0.12 (e) 2 (f) 15 (g) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -261.781631 rounded to the nearest integer?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 22 = -4*o, -3*t + 31 = 2*t - 2*o. What is the smallest common multiple of 11 and t?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.17 (b) -1\/8 (c) -29 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -52b - 26?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 2*r = 0. Sort r, -4, 1.4 in decreasing order.\nAnswer: 1.4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10847668 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 247 = 49*x - 109 - 379. Solve -5*k - 3*w + 44 = 66, x = -4*k - 5*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g + 1446166*g**2 + g - 1446201*g**2.\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-42)\/(-6) - (2476\/(-14) + (-7)\/49). What is the greatest common factor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.65 - 9.65. What is the smallest value in 4, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 50277499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 9*v - 3*v. Let s(j) = 2*j + 9. Let z(h) = 3*h + 13. Give v*z(c) + 7*s(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the third derivative of h**4\/6 - h**3\/6 + 7*h**2. Let t be l(0). What are the prime factors of (81 - t)\/((-1)\/(-2))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 84 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor h**3 + 1070*h**2 - 2144*h.\nAnswer: h*(h - 2)*(h + 1072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -11001 (base 2) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q**2 - 7*q + 7. Let z(o) = -o**2 + 4*o - 4. Let c(l) = 4*a(l) + 7*z(l). Let p(m) = 2*m**2. Determine c(p(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(1331) - -2*sqrt(1331)))**2.\nAnswer: 299475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 261.937978 rounded to 0 decimal places?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2*i - 2. Let q(l) = -l. Let s = 2 - 1. Determine s*w(p) - 3*q(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 - 2*a**2 - 4*a. Let s be n(3). Let m be 4 - (2 - s\/(-1)). Suppose m - 38 = -3*d. Solve 3*g = -f - d, -4*g = -f + 3*f + 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22242*d - 619244 - 1048906 = 0 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 41607*q - 20804*q - 20806*q + 469 = 13*b, -2*q - 5*b = -177 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -124*h**2 - h**2 + 25 + 22 + 29 - 76.\nAnswer: -125*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (264*n - 280*n + 254*n)*(2 - 7 + 1)*(-4*n + 0*n + n + (0*n + 2*n - n)*(3 + 1 - 3))*(1 - 2 + 3) + 0*n**2 - n**2 + 0*n**2.\nAnswer: 3807*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 18 + 3156*c**3 - 3163*c**3.\nAnswer: -7*c**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 20 = -4*j, -f - f - 8 = 0. Let c = 0 - -8. Calculate the remainder when j is divided by (1 + -11)*c\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 16636714 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -62\/2775 and 19\/1110.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 7*t**3 + 5*t**2 + 6. Let n(g) be the second derivative of 13*g**5\/20 + 3*g**4\/4 + 11*g**2\/2 - 294*g. Determine 11*a(h) - 6*n(h).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1566 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -4.1558007 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 6*i - 58 + 38*i + 57 as v*i + m and give v.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 344 and 1462.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 34 - 22. Let b = 18 + w. Suppose -4*t - 5*t = -18. Solve -g = 5*r - b, r = -t*r - 2*g + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1 (b) -2.1 (c) -129 (d) 2\/33 (e) 5 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1348, -5528, -12496, -22252, -34796, -50128?\nAnswer: -68248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -2*n - 2*k, -2*n - k - 9 = 0. Is 3 + n - (-373 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -159, -208, -289, -402, -547?\n\"Answer: -16*i**2 - i - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1997 is divided by 435.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1\/2 + 1\/4. Is -5 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 116*r - 11623. Give m(100).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g**(-26)*g**9*g assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-66)\/(-18) + 1\/3. Let o be p\/22 + (-488)\/22. Is 14 a factor of (-876)\/o - 4\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 44*g**3 - g**2 + 3*g - 1. Suppose w + 73 + 40 = -5*i, 2*i = 3*w + 288. Calculate the remainder when t(1) is divided by (-8)\/32 - w\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 + 5.944. Let g = -0.055961 - s. What is g rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -427, -851, -1277, -1705, -2135?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 433 in -6, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-135) - 12610\/(-702)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((1*(sqrt(19) + sqrt(171)))**2 - (1*sqrt(95))\/sqrt(5)).\nAnswer: -sqrt(19) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 + w**2 + 7. List the prime factors of l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11982 times -49?\nAnswer: 587118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 195855 - -167284101.\nAnswer: 167479956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -14*c + 13. Calculate t(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k = 5*i, -34*k - 22*i = -35*k - 27*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.01, 0.3, 0.0094, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38103.\nAnswer: 3, 13, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5\/4? (a) 0.1 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -16\/7 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1d36 + 1?\nAnswer: 1d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -16*d**2 - 1825. Let o(q) = -9*q**2 - 913. Determine -7*o(t) + 4*u(t).\nAnswer: -t**2 - 909","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from kwkbwwkwpkwdwpkwpbw.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7862790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = v + 2, -2*v + 1 = -n - 0*v. Which is the second smallest value? (a) n (b) 14 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 15 and -12614.86.\nAnswer: -12599.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5304028 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 5 = 15. What is the third biggest value in w, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(2\/5)*g**(2\/9)*(g*g*g**(-26))\/(g*g*g**12) assuming g is positive.\nAnswer: g**(-1682\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3.44 + 21.34. Let h = l - 18. What is the closest to h in 2, -4, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, o: 1, a: 2, k: 1}. What is prob of picking 1 o and 2 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**4 - d + 1. Let s(c) = 19*c**5 + 2*c**4 - 16*c**2 - 2*c + 2. Let q(u) = -2*a(u) + s(u). Find the third derivative of q(k) wrt k.\nAnswer: 1140*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -54 - -3. Let r = -31 - v. Solve r = -3*i - 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 - 6*q**2 - 13*q + 1. Suppose -2*f + 5*s = -29, -4*s - 12 = -0. Let x(v) = -3*v + 30. Let o be x(f). What are the prime factors of b(o)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -3*y - 18, -14*y - 77 + 26 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5.1 - -1.1. Let f = 25\/126 + 1\/42. What is the second smallest value in f, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*g**3 - 46*g**3 - 164*g**3 - 32*g**3.\nAnswer: -146*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1.2*1\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 22396.38 weeks?\nAnswer: 3762591.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1 - 121*s + 524*s - 29*s + 344*s + 80*s**2 wrt s.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 2*t - 25. Calculate the highest common factor of t and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -692*s**3 - 862*s**3 - 771*s**3 + 2136*s**3.\nAnswer: -189*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 5 (c) -0.5 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 11, -2 in ascending order.\nAnswer: -5, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 5*t - 15 = 0. Suppose 11 - 8 = -t*k. Let w = -20\/11 - -82\/33. What is the smallest value in k, 0.01, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 228186368?\nAnswer: 2, 151, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10866394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/((c\/c**(1\/8))\/c)*c**(1\/4)\/c*(c\/((c**(2\/9)\/c*c)\/c))**(-2\/9) assuming c is positive.\nAnswer: c**(-13\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 2343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be 5\/(5\/(-2)) + 4. Suppose -9*u = 7*u - 1152. Suppose b*d - u = d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 3*u**2. Suppose h - 2 + 4 = 0. List the prime factors of w(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30424.99 centuries to millennia.\nAnswer: 3042.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.04222 and -2.\nAnswer: 0.08444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.62815 - 1.687. Let m = -8 - -7.94. Let h = x - m. What is h rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9419 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -74 (base 8) to base 16\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*y**4\/17 - 434*y**3\/17 - 2140*y**2\/17 - 3232*y\/17 - 1536\/17 = 0. Calculate y.\nAnswer: -2, -8\/5, -1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -109254600 divided by 3640.\nAnswer: -30015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 AM and 3:29 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 285672 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/(-2 - (-9)\/18). Suppose -10 = 4*w + w. Put 4, w, t in increasing order.\nAnswer: t, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -122424233344 + -2?\nAnswer: -122424233401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be 11\/4 + 1\/4. Suppose m*s + 120 = u, 2*s - 3*u + 67 + 13 = 0. What is the units digit of (s\/25)\/((-2)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -74*u**2\/3 - 1076*u\/9 + 170\/9.\nAnswer: -2*(u + 5)*(111*u - 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 - 6*j**2 + 12*j - 7. Suppose 35 = 5*u + 4*l, 0 = -4*u - 4*l + 9 + 23. Let k be b(u). Solve k*s + 2 = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*t**3 - 1884*t**2 + 2622*t - 748.\nAnswer: 2*(t - 187)*(t - 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -20*d**4 - 4*d**5 + 8*d**4 - 60*d**4 - 400*d + 135*d**2 - 244*d**3 + 585*d**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7104 + 7789 = v - 2*u, 5*v + 3*u - 74504 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/3, -186929, 1 in ascending order.\nAnswer: -186929, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**3 + 5*x**2 - 2*x - 2. Let u be r(4). Calculate the remainder when (52\/(-6))\/((-4)\/u) is divided by (-34)\/85 - (64\/(-10) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1524*v**2 - 2 + 2 - 1479*v**2.\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 9240170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 0*d + 80 = 0. Let r = 113 + d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 41\/82 + (-1157)\/(-2) + 4. Calculate the highest common factor of t and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 420\/2320 + (-8)\/(-116).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 2*x**2 + 2*x. Let p be d(-3). Suppose 0 = 3*f + p, -2*f = 5*y - y - 507992. What is y rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -5*l, l - 5*h = -2*h - 16. Let x(k) = -29*k**3 + k**2 + 2*k + 1. List the prime factors of x(l).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -387*h + 390*h - 89*h**2 + 79*h**2 - 44*h**3 + 3*h**4 to a*h**4 + m*h + c*h**2 + k*h**3 + o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9\/(-6)*(-8)\/(-18). Let y be (-381)\/4 + (-6)\/8. Let o = 478\/5 + y. Which is the second biggest value? (a) o (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from hlshhsllsllllhlhs.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*q - 119 = -5*w, 5*w + q - 163 + 26 = -1 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7426772.769 - -7413931. Let r = b - -12851. Let i = r - 9.3. What is i rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -98\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 437 + 40?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d**3 + 4*d**2 + 5*d + 4. Calculate v(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -3*t**2 + 5 + 2*t + 3*t + 12*t**2. Let f(y) = -14*y**2 - 8*y - 8. Give -5*f(d) - 8*i(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 32283 + 0.3\nAnswer: 32283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 27 * -228\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/((-4)\/6) + 144017. Suppose -3*k = 3*f + k - 143984, 5*k + s = 3*f. Round f to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 86 (b) 3\/7 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 143044 is divided by 1644?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 284808?\nAnswer: 2, 3, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68 is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0167461 and 5.\nAnswer: 0.0837305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 110010001100 (base 2) to base 15.\nAnswer: e42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1037 or -0.2?\nAnswer: -0.1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-56)\/22)\/((-5)\/2*10\/400*32).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 29*o**2 - 518*o - 19. What is b(18)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 6 = -3*p, -5*m - 14 - 6 = -5*p. Is -2\/23449 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-108 - 155 + 3)*(5*c**2 - 1 + 1 + (-2 + 2 + c)*(2*c - c + c) - c**2 + c**2 - c**2) in the form m*c**2 + s*c + o and give m.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - 3989?\nAnswer: -3992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 222 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137826169?\nAnswer: 13, 67, 229, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-40)\/(-12))\/((-48)\/(-1323)). Let s = -8165\/88 + n. What is the common denominator of s and 28\/17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 514*i + 1177*i + 438*i - 10*i to p*i + r and give p.\nAnswer: 2119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 746468587.\nAnswer: 20611, 36217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 608265 * -4\nAnswer: -2433060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s - 4*s + 4*s)*(-4 + 5 + 1) - s + 0*s - s + (1 - 2 + 2)*(2*s + 0*s + 0*s) + s - 6 + 6.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -15*o**2 + 442*o - 2497. Let d(q) = 7*q**2 - 204*q + 1247. What is -13*d(f) - 6*p(f)?\nAnswer: -f**2 - 1229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 8661542671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -769 + 1410. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5c (base 13) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-15)\/33*102\/(-85). What is the second biggest value in -0.1, y, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -186*t**5 - 772*t**4 - 112*t**3 + 2976*t**2 + 3424*t + 448 = 0.\nAnswer: -2, -14\/93, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -917*s**3 + 107*s**2. Let l(r) = 2750*r**3 - 323*r**2 + 3. Let k(v) = -7*j(v) - 2*l(v). Find the third derivative of k(u) wrt u.\nAnswer: 5514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 823 - 385. Suppose -r = 2*r - w. Suppose r = 3*m - 2*f - 89, 0 = -2*m - 5*f + 144. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2568.651 litres to millilitres.\nAnswer: 2568651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 + 26. Let d be (-2)\/j + (-39)\/21. Are -2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 3*o. Suppose -4*q + q + 15 = 0. Suppose 0 = s + s + 6, -5*s = -q*p + 30. Let u(r) = -7*r - p*r - 6*r + 13*r. What is u(g(k))?\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 - (-40)\/4 - 6*1\/1. Solve 2*w + t*a + 8 = 0, -5*w = -4*w - a + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/l**(-3\/2))\/(l*l\/l**(2\/25))*(l**(-1)\/l)**(-50) assuming l is positive.\nAnswer: l**(5079\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 820948574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 - -59497?\nAnswer: 59497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -466, -927, -1388?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*b - 66*b - 125 = 5*t, 3*t = 5*b - 5 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -720 - -743. Let s(r) = -r**2 + 38*r - 334. Let x be s(b). Let p(i) = -i**3 + 12*i**2 - 11*i - 12. Give p(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the first derivative of -78*t**5 - 50*t**2 + 325. What is the second derivative of z(y) wrt y?\nAnswer: -4680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -20.1862 and 11.\nAnswer: -9.1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -2.3. Let r(z) be the first derivative of -z**3\/3 - 2*z**2 + z - 1. Let l be r(-3). What is the third biggest value in d, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 133957 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**4 + 108*h**3 - 1346*h**2 - 3024*h - 1568.\nAnswer: -2*(h - 28)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 454.362718 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -117, 1, 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of -z**3\/3 - 7*z**2\/2 - 3*z + 2. Let o = -31 + 25. Calculate m(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor n**3\/3 - 27329726*n**2\/3.\nAnswer: n**2*(n - 27329726)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2112)\/(-17160))\/((88\/60)\/(-11))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 8*q**3\/5 - 2*q**2\/5 = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*v + 159*v = 830 + 192 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 773 a factor of 1825769815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/30 and 89\/22686.\nAnswer: 113430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - 14 - 1. Let k = c + 271. What are the prime factors of (-1 + k)*12\/20?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2 - (-20)\/(-9))*3. Which is the nearest to m? (a) -0.2 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 20*j - 1. Let q = -2172 + 17339\/8. Find the common denominator of s(-1) and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*g**2 - 14717090*g + 10829636903405.\nAnswer: 5*(g - 1471709)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 21\/84 + 13\/44. Which is the closest to k? (a) 2 (b) 12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1707*v + 1716*v - 36. Let c(h) be the first derivative of -25\/4*h**v - 10*h + 10\/3*h**3 - 27 + 25\/2*h**2. Factor c(t).\nAnswer: -5*(t - 1)*(t + 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13884\/(-390)*15\/(-6).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-38)\/(-38))\/(1\/2*8\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**5)**(-18\/11))**(-4\/21) assuming k is positive.\nAnswer: k**(120\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2*g**2 - 6*g + 7. Let k be y(2). Suppose -k*d - 26*q + 13 = -30*q, 0 = -5*d - 2*q + 39. Solve 0 = 2*f - 3*s - 13, 0*f - d = -3*f + 2*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, 0.5, 301037 in descending order.\nAnswer: 301037, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (-1 - -1)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (586\/(-1758))\/(2\/(-56)) - (10 - 17)?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 10*f - 14. Calculate z(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -5 and 10483.71?\nAnswer: -52418.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**5 - 2*u**5 - 2*u**5)*(3 - 5 + 1)*(5 + 1 - 1).\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 AM and 5:54 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:31 PM and 1:18 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/72, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 25, 26, 27?\n\"Answer: g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 485549573 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 0*m + 28363*m**4 - 28449*m**4 + 2 - 436*m**2 - m**3 - m - 12*m**5 wrt m?\nAnswer: -720*m**2 - 2064*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*b**5 + 154*b**4 + 3*b**3 - 2863*b**2 - 2?\nAnswer: -120*b**2 + 3696*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30922, 59474, 88036, 116614, 145214, 173842, 202504, 231206?\nAnswer: 259954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5947\/6630 - -2\/663. Suppose 30 = 5*v - 0*v. What is the common denominator of (-4)\/6 + 137\/v and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -w**4\/3 - 5*w**3\/3 - 2*w**2 + 58*w + 5. Let n(x) be the first derivative of g(x). Factor n(b).\nAnswer: -2*(b + 2)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 36 - 28 = 0. Let b = -10 - l. What is the remainder when 20 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -3, 22 in decreasing order.\nAnswer: 22, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -12 - t - 5 + 0. Let f(y) = -4707*y + 32939. Let k be f(7). Determine g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 0 - 10 - 2*o - 4*o + o. Let g be c(-9). Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the first derivative of 0*t**5 + 2\/3*t**3 + 0*t + 3\/7*t**7 + 4 + 0*t**6 + 0*t**4 + 0*t**2. What is the third derivative of i(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -0.013, -4, 4, -56?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -3*y - 3. Let v be 58 - ((-2)\/(-7) + (-30)\/7). Let r = 89 - v. Suppose r*h = 15*h - 36. Determine d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 750771.\nAnswer: 3, 7, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 52 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 25982.84 micrometers to centimeters.\nAnswer: 2.598284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 263844 < 263839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2596*z**4 + 107*z**3 + 1052824*z**2.\nAnswer: 62304*z + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) 26 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 17, -3, -61, -175, -363, -643?\n\"Answer: -3*h**3 - h**2 + 4*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (15\/(-10) + 1)*-28. Suppose 12*r - l*r = -4, -4*r = 4*n - 9340. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4355 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 5*f = 16*d + 2 - 162, 9*d - 12*d + 51 = -f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**0\/w)\/w)\/w*w)**(-6)\/(w**(2\/7)\/w*w\/w**0)*(w\/(w\/(w*(w**(-2\/7)*w)\/w)))**(-8)*w**6\/(w\/(w\/w**(-5))) assuming w is positive.\nAnswer: w**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*y - 18*y - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 6*z - 44. Let m be b(8). Let o(f) be the third derivative of f**2 - 2\/5*f**3 - 49\/200*f**6 + 0 - 21\/100*f**5 + 0*f + 3\/5*f**m. Factor o(w).\nAnswer: -3*(w + 1)*(7*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*s - 3*t + 16 - 76, t + 12 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 + -5)*(-39)\/26 + -3. Suppose -5*a + 2*k = -99, k - 51 = -3*a + 5*k. Let w be (16\/28)\/(j\/a). Solve 0*o - 2*o - 3*p = 12, -16 = w*o + 4*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1274040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-6 + 2 - -35) + 9 + -2 + -9\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8047506.0000005 + -8047519. Let u = q + 13. Round u to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1135043867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*s**2 + 4*s**2 - 32*s**2 + 0*s**2 - s**3.\nAnswer: -s**3 - 41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 49, 10, 2, -0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d + d - 13. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 113, 400, 857, 1478, 2257, 3188?\nAnswer: 4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 23229 < 23232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79801.\nAnswer: 79801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -q, -4*q - q + 20 = 5*t. Differentiate 5 + 5*i - 2 - t wrt i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 275 = -501. What is the lowest common multiple of m and 40\/50*(24 + 1)?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1850*x**4 - 13405 wrt x.\nAnswer: -7400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z - 2. Let b be u(0). Let d be -3 - ((-68)\/(-10))\/b. Let t = -2 - -1.5. What is the third biggest value in -2\/11, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2324001013?\nAnswer: 2324001013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1334 + -0.19093591104?\nAnswer: -0.05753591104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 40, 90, 144, 202, 264?\n\"Answer: 2*k**2 + 44*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 468\/16 - (-4)\/(-16). Let u = a + -27. What is the first derivative of 12*f**2 - 5*f**u - 10*f - 5 + 10*f wrt f?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -3*g. Let p(t) = 3*t**2 - 20*t - 4. Let c(x) = -9*x**2 + 59*x + 14. Let y(l) = 2*c(l) + 7*p(l). Determine y(f(j)).\nAnswer: 27*j**2 + 66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 33 divided by 5\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 760955.5 grams in tonnes?\nAnswer: 0.7609555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -6 + 6 - 7*f - 4 - f. Let r(w) = 9*w + 5. Determine -4*r(b) - 5*u(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -281 = -40*z - 41. Let v(g) = -g**3 + 9*g**2 + 9*g - 8. Let j be v(10). Let w be j\/z + 8\/1. Solve w*d + 5 + 0 = -2*h, -3*d = h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 135181892 is divided by 143.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 1 (b) -2 (c) 1\/5 (d) 2 (e) -0.049 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2468.9545 rounded to zero dps?\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2309.18mm in micrometers?\nAnswer: 2309180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + p = -36, -3*h - 5*p + 3*p = -16. Suppose 4*w = 5*c + 4 + 3, -5*w = -c - 35. Do w and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**8\/(n*n**(-2\/25))*n**(-2\/17)*n**(-5)*((n*n*((n\/(n**2\/n))\/n*n)\/n*n)\/n**(-8\/7))**(-41) assuming n is positive.\nAnswer: n**(-377512\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 - g + 4. Let q be 24\/10 + -4*(-4)\/(-40). Let p be 4\/((-20)\/(-25))*1. Let s(b) = -5 + 3 + p*b - 15 - 5*b**2. Determine q*s(i) + 9*o(i).\nAnswer: -i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 151852?\nAnswer: 2, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -4. Suppose -3 + v = -k. Let g(j) = -6 + 6 - k*j. Let o(h) = -h**2. Calculate g(o(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*w - 20*w = 65*w + 1256 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1956653 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g - 7*z = 7*g + 222 - 393, -21*g - 29 = -24*g - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3 (b) -4\/9 (c) 39 (d) 0.7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -12 - ((10 + 5 + -7 - 7) + 3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 370*p - 1157*p + 355*p + 353*p.\nAnswer: -79*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:34 AM and 7:29 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/9)\/((-4)\/(-6)). Suppose 5*q = -0 + 5. Let h = 2 + -2.5. What is the nearest to g in q, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 32345 and 17.2?\nAnswer: 556334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**2 - 11*g + 1. What is the units digit of a(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*g = 25*g - 17766. Suppose g*s + 1104 = 362*s. What is the nearest to s in -2, 5, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 37 + 38*g**3 + g - 37 to a*g + h*g**2 + z*g**3 + i and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be 19\/12 + (-32)\/24. Which is the nearest to -0.16? (a) 1 (b) x (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 22 = 2*a + 184, 4*m + 3*a = 440. Let l(p) = -21*p - 37. Let w be l(-2). Suppose -w*x = x - 132. What is the remainder when m is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1936525231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -8958496 by -1136.\nAnswer: 7886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is j in 2*j**5\/9 - 2*j**4\/9 - 2*j**3\/3 + 2*j**2\/9 + 4*j\/9 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 17382+-0.0487248\nAnswer: 17381.9512752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 4. Let m(j) = j**2 + 13*j - 9. Let l be m(-14). Let f be -2 + l + (1 - 0). Let n(s) = s + 5. Determine f*n(i) - 5*w(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1717523 (base 8) to base 4\nAnswer: 1321331103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.7 - -39.7. Let w = m + -63. Let g = w - -21. What is the closest to g in 5, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*36\/16*(-1)\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of -q**6\/40 - 19*q**5\/20 - 214*q**2 - 6. Factor j(u).\nAnswer: -3*u**2*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/2, -2\/15, -1056\/43, 2\/19 in increasing order.\nAnswer: -1056\/43, -1\/2, -2\/15, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 149966, 1199888, 4049688, 9599306, 18748682, 32397756?\nAnswer: 51446468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/2*(-1228)\/2763?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (21*v + 5*v**2 - 21*v)*(9*v + 6*v - 5*v) - 15*v**3 + 4*v**3 - 4*v**3.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2578, 3048, 3524, 4006, 4494, 4988, 5488?\n\"Answer: 3*s**2 + 461*s + 2114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract -82 from 0.11.\nAnswer: 82.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/63 and -51\/427462.\nAnswer: 3847158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (17*u - 5*u - 10 - 11*u)*(0 + 0 + u**2)*(-1 + 5 - 3) to f*u + a*u**3 + x + b*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 230354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 7*m**2. Let y(u) be the third derivative of -17*u**5\/60 - u**2 + 1. Determine y(l(b)).\nAnswer: -833*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence brwz when four letters picked without replacement from wbrwzzbzbzwwz.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -7*n**3 - 37*n**2 - 319*n - 50. Calculate x(-8).\nAnswer: 3718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*w + 47*w - 60 = 0. Calculate the smallest common multiple of w and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9917013*x**3 - 51113367*x**2.\nAnswer: 59502078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 2484400 by 4.\nAnswer: 621100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -69 + -46 + (0 - 3) + 25.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 59 + -20. Factor -s*w + w**2 + w**2 + 41*w.\nAnswer: 2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3212600 is divided by 85?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 277 a factor of 2963069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.3 - -0.4. Let k = -93 - -66. Let g be (2 - 5) + k\/(-12). What is the nearest to z in g, 2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 540*m**3 + 3*m**2 - m**2 - 2*m**2.\nAnswer: 540*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*l + 5*m + 37319 - 18645 = 18579, l + m = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 41894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**3 - 2*g**2 + g. Let y be h(1). Let n be (-96 - -102) + (y - 1). Factor 2\/3*d**2 + 1\/3*d + 0*d**n - 2\/3*d**4 + 0 - 1\/3*d**5.\nAnswer: -d*(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*c**2 + 2 - 2 - 8*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -112\/9, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*(((g*g\/(g**21\/g))\/g)\/g)\/g*(g**(-1\/3)\/g)\/g*((g**(-4\/9)\/g)\/g)**(1\/19) assuming g is positive.\nAnswer: g**(-3841\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000812555 rounded to 6 decimal places?\nAnswer: -0.000813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -494965 divided by 5.\nAnswer: -98993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -23990004 * -11\nAnswer: 263890044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 divided by 84.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 624*h - 581*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s - 5*j - 1375, 1407 = 7*s - 2*s + 3*j. Let o = -114 + s. What is the greatest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -11*s + 400. Let n be y(-19). Let x = n + -609. Which is the third biggest value? (a) -4 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -464 divided by 2\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + -80489526715?\nAnswer: -80489526720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 32 + -59. Let q be (u - -26)*(-29 + (-2)\/(-2)). Let o = q - 29. What is the third smallest value in -2, -2\/17, o?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1955825579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:33 PM and 5:43 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 - -7. Suppose -y*i + 40 = 2*i + 4*d, -26 = -4*i + 3*d. Calculate the lowest common multiple of i and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 - 11.2. What is the nearest to 0 in -0.4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 4*i - 3*i - 13 - 2*i + 5. Give f(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of 32*m + 0 + 0*m**2 - 14\/3*m**3 - 7\/12*m**4. Find the second derivative of l(p) wrt p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8d (base 15) to base 9\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 109 a factor of 2398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 463975010 + 33.\nAnswer: 463975043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/(-32))\/(6\/(-64))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 132?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + (sqrt(468)*-2)**2)*1 - (-2*(sqrt(468) - sqrt(468)*-1) + 0)**2) + -3.\nAnswer: -5621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/(-15) + 34\/6. Solve 2*v = n + 3, -3*n - h = -2*v - v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -9567 and -9570 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2886 plus 0.033?\nAnswer: 2886.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -2*r**3 + 7*r**2 + 909*r - 4533. Give j(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 8, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -872*b = -74*b + 14364 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9012 - 3263. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3171000 - 10.\nAnswer: -3171010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 79 = -4. Solve -4*z - z = o, 4*z = -4*i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -115*l**2 - 364*l - 8. Calculate b(-2).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z**3 + 8*z - 4. Let g be v(-6). Let k = g - -117. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -27 + 26.83. Let q(x) = 8*x - 4. Let b be (-1*((-8)\/4 - -3))\/(-1). Let t be q(b). Put -1, t, j in increasing order.\nAnswer: -1, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5797 from -1129786511.\nAnswer: -1129792308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -46 + 7b?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -696.72 times -6.7\nAnswer: 4668.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bxjb when four letters picked without replacement from lxblslbbbbj?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 3:56 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pmp when three letters picked without replacement from {m: 1, d: 1, c: 1, v: 1, p: 2, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 311038429958 - -4.\nAnswer: 311038429962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(136) - (sqrt(136) + 1*sqrt(136)) - sqrt(136)))\/(sqrt(40)\/sqrt(45)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:03 PM and 11:10 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 73 - 58 - (1 + -1 + -2) - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*a + 7851 = -41429. Let l = a - 23092\/15. Factor 8\/3*j + l*j**3 - 8\/15 - 34\/15*j**2.\nAnswer: 2*(j - 2)**2*(4*j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 15\/4 in 2\/7, 19, 0.08, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18468041905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (9264932\/(-1207051))\/(4\/(-74))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -32, -33, -26, -11, 12, 43, 82?\n\"Answer: 4*h**2 - 13*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2780 + 2782. Sort 1, g, 8 in descending order.\nAnswer: 8, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 1\/3*y**3 - 12 + 7\/12*y**4 - 7\/6*y**2 + 2\/3*y - 1\/3*y**5. Let o(c) = 0. Calculate c.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1276 - -77843682.\nAnswer: 77844958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(2057) - (-1 + sqrt(2057)) - sqrt(2057))*-3 + 1)**2.\nAnswer: -132*sqrt(17) + 18512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -3*m - 7, 0 = 3*m + m - i - 9. Let p be 7*m\/(21\/36). Let j be 3\/(-9) + 4\/p. Solve 4*u - 4*g + 9*g + 12 = j, 0 = -4*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/25 of a meter in millimeters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 29*v**2 - 25*v**2 - 32*v**2 + v + (v + 0*v - 2*v)*(2*v - v + v) as b + f*v + n*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 2\/907?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**2 - 1. Let n be r(-2). Let s(y) = -8*y**2 + y**3 - 9 + 4*y**2 - n*y + 9*y + 3. Let l be s(3). Put l, 3\/7, 4 in decreasing order.\nAnswer: 4, l, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + 2*g + 6 + 2*g**3)*(-856*g - 94 + 93 - 554*g) to the form y*g**2 + l*g + c + z*g**4 + f*g**3 and give y.\nAnswer: -2820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 278 divided by 23.\nAnswer: 278\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 293*s - 148*s - 145*s + 9*s**2 + 17*s**2.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -e30 - 4?\nAnswer: -e34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2 = -5*k - 4, 0 = 5*k. Let c be -11110001 + (-3 + r)\/(-2). Round c to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 9*o - 453. Let x be n(48). Sort 0, x, -10.\nAnswer: x, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -33*u + 34*u - 5. Sort -3, 4, u, 0 in ascending order.\nAnswer: -3, 0, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = -10*g + 204. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18019 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0 - -212 - (940 - 831)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2466, -9865, -22196, -39459, -61654, -88781, -120840?\nAnswer: -157831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - t = a + 5, 3*a + 3*t + 45 = 0. Let p be (-1)\/(-4) + a\/(-40). What is the third biggest value in -1, 0.5, 6, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of -b**9\/10584 + b**7\/2940 - 2*b**3\/3 + 1. Let c(h) be the third derivative of i(h). Factor c(a).\nAnswer: -2*a**3*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7649*u = 7610*u - 3666 for u.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) -5 (c) -0.3 (d) 5 (e) -1.7141\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2\/13 (b) -5\/84 (c) -0.2 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 + 5*h**2 + h - 1. Let k be b(5). Suppose -u - u - 4*v = -20, -k*u - 20 = -4*v. Let f be (-2)\/3 + 11\/3. Solve 5*q - f*q + 4 = u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1148504 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 98, 167, 276, 419, 590, 783?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 92514*i**3*q - 993*i*q - 40*q wrt i.\nAnswer: 555084*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -50138 + 50141. Let s = 15 + -15. Solve 3\/5*t**5 + 3\/5*t**l + 0*t + 6\/5*t**4 + s*t**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s - 7*r - 104 = 0, 79*s - 6*r - 68 = 78*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2.10619 + 1722758\nAnswer: 1722755.89381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - 17*d**2 - d - 18. Let y be k(-17). Let i(r) be the first derivative of -30*r**2 - 3. Is 20 a factor of i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7601804 smaller than 7601809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x + 10. Let r(m) = 2*m**3 + 3*m**2 - 2. Let n be r(-2). Let s be 4*n\/((-36)\/(-15)). Let h be f(s). Solve b + h*b + 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(((sqrt(300) + sqrt(300) + -1 + sqrt(300) + 1)**2 - sqrt(300)) + 5) + -3.\nAnswer: -10823 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1045776996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes before 1:47 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -17078624 or -17078623?\nAnswer: -17078623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -111*r**3\/2 - 1038684*r**2 - 4210431*r\/2 - 56139 = 0 for r.\nAnswer: -18713, -2, -1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3.274 and -5?\nAnswer: -16.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 5*i = 50, 52 = 5*f + 4*i - 107. Calculate the greatest common divisor of 185 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-99)\/3135*(-17)\/(2856\/(-70)))\/((-68)\/(-32)).\nAnswer: -2\/323","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 5*d + 3*d - 6*d - 2. Let h be g(3). What is the second derivative of -177*q - 2*q**4 + 2*q**h + 189*q + 24*q**5 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4775774683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 PM and 10:36 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 13 - 6*r**2 - 11 - 3. Determine g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9827525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -2414972 by 5.\nAnswer: -2414972\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54296 + 4*r + 109493 - 55197.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -113, 2, 3707 in descending order.\nAnswer: 3707, 2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from klkllbfklfkfly. What is prob of picking 2 f and 1 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(3\/5))**33)**(-1\/21)*(v**(-8)*v*v\/(v**(-1\/12)\/v))**(-2) assuming v is positive.\nAnswer: v**(1867\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = j + 210 - 223, 0 = -4*j + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 301821, 301818, 301815, 301812, 301809, 301806?\n\"Answer: -3*r + 301824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/10 - 58\/10. Let m be (-7 - -1)\/(q\/4). Put -5, 2, m in decreasing order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20211111100 (base 3) to base 5.\nAnswer: -13300441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -15*p - 2. Let c(y) = -148*y + 3. Let r(g) = -181*g + 4. Let j(k) = -5*c(k) + 4*r(k). Determine -6*j(h) - 4*o(h).\nAnswer: -36*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 21, 2\/7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -144 + 36. Is (-226668)\/y - -2*(-1)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39.12 - -312.82. What is m rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 722*u - 11 + 435 - 49 + 8*u**2 - 3*u**2 - 342*u = 0. What is u?\nAnswer: -75, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 + 62*o**2 - 239*o + 400. Calculate d(58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 16*v**4\/5 + 1207642*v**3\/5 - 41526772*v**2\/5 + 364570202*v\/5 - 130937808\/5 = 0.\nAnswer: -75512, 3\/8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -14*i**3 + 33*i**2 - 21*i - 77. Let u be c(-5). Calculate the greatest common divisor of 57 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-49))\/(5198\/(-18193))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4626, 4625, 4624, 4623?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 188 = -2*i, i - d - 60 = 26. Suppose o - i - 450 = 0. What is o rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 - 7. Suppose 0*j - 2*j = 4*u - 2, s*j = -2*u + 3. Let p be (-1)\/2*(0 - u). Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 2*n - 9184 = 0, 3*o = 12*n - 8*n + 6888. Let l = o + -4733. What is l rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -715.94 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-7\/5)*x*x**(-15)\/x*x)**(-4\/5) assuming x is positive.\nAnswer: x**(308\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1756222 divided by -26?\nAnswer: -67547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -143 * -14.\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 10274 a factor of 555853153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -13 (b) -44519 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:27 AM and 10:37 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -43, 8, 1.\nAnswer: -43, -0.3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 741 + 2*c**2 + 743 - 2999 + 771 + 751.\nAnswer: 2*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 + 29 - 5 - (3 + -9 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -133, -216, -279, -322, -345?\n\"Answer: 10*x**2 - 113*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(1\/3))\/p)**(-34)*(p\/(p*p*p**(2\/3)*p))**(-50))**47 assuming p is positive.\nAnswer: p**5734","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12612743*f**2 + 20907578 with respect to f.\nAnswer: 25225486*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20587.\nAnswer: 7, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = t + j, 6*t + 37 = t + 4*j. Which is the smallest value? (a) -1\/6 (b) t (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (588\/10 - (-31 + 33))\/(18\/270). Suppose 3*k - 48 = -k + 3*p, 2*p = -4*k + 48. Calculate the greatest common divisor of k and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d = 5*d + 9. Find the common denominator of 22 + (-1)\/(-3)*-2 and (d\/20)\/(6\/(-425)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 153337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-216)\/(-20))\/9*(10\/3)\/((-5)\/70)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 108 + -52. What is the hundreds digit of 4\/(-14) + 4\/(n\/1698)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 23*o**3 - 5*o**2 + 2*o + 4. What is the remainder when f(2) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 2119, 4209, 6335, 8491, 10671, 12869, 15079?\n\"Answer: -s**3 + 24*s**2 + 2025*s + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + -1)*1 + (sqrt(1900) + -1 - sqrt(1900))*1.\nAnswer: -2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 378988 is divided by 6110?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(170)\/(sqrt(40) + sqrt(10)) + (sqrt(187)*-1)\/sqrt(11))*2)**2.\nAnswer: 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -5*z - 2. Let t be m(-3). Let k be 0\/2*-1*1. Suppose s = k, -s = 4*b - t - 3. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57715 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 6 = -5*w + 19, 5*o - 16 = -2*w. Let h(g) be the first derivative of -g**2\/2 + 9*g - 2. Let v be h(7). Solve -5*i - v*u + 9 = -u, w = -i + u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**2 - 40*i - 388. What is d(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 19*d**3 + 2*d**2 + 3*d. Let n(f) = -29*f**3 - 4*f**2 - 5*f. What is 5*n(q) + 8*z(q)?\nAnswer: 7*q**3 - 4*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 2 + 0)*(2 - 3*h - 2) to the form v*h + j and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes before 1:00 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -7*y + 15. Let p(s) = 4*s - 8. Let q(l) = -10*p(l) - 6*x(l). Let a be q(10). Solve -5*h - 10 = a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.45 (b) -1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 9 + 6. Let s = -186 + 153. Is (-407)\/s + 1\/(-3) + c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0199551 rounded to 5 dps?\nAnswer: -0.01996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(931) + 1 + 3 - -1*sqrt(931)*6)*-4)**2 - ((sqrt(76) + 1)*4 + (5 + sqrt(171) - (sqrt(19) + (sqrt(38)\/(sqrt(6)\/sqrt(3)))**2))).\nAnswer: 6262*sqrt(19) + 730170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z + 20. Let h be f(0). Let w be (-54)\/(-72) - 197\/(-4). What is the greatest common divisor of w and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 7*t**3 - 4*t**2 - 4*t - 6. Let s(v) = 21*v**3 - 12*v**2 - 11*v - 17. Let p(x) = -4*s(x) + 11*u(x). Let g(q) = q**3 - q**2. Calculate -4*g(l) - p(l).\nAnswer: 3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 676*y**5 - 53716*y**4 + 595020*y**3 - 2066780*y**2 + 1001504*y + 3717696 = 0. What is y?\nAnswer: -1, 3, 68\/13, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 196\/3*m**2 + 44\/3*m**4 + 4\/3*m**5 - 40*m + 164\/3*m**3 - 96 = 0. Calculate m.\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12070 - -4502. Suppose 3*u - 4*q - 11825 = 4752, 3*u - 3*q = v. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*b - 2 = -11*b, 3*b = -2*z + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 127 + -123. Solve 0 = a*m - 3*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25796 = 192*y - 22204. Calculate the remainder when 279 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 3*a - 16. Suppose 3*c = -5*n - 0*n - 15, -a*n - 12 = -3*c. Suppose -2*f = 3*s - 21, -f + c*s = -3*s - 15. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 2 + g - 2)*(-2 + 5 - 4)*(-5*g + 12*g + 20*g)*(-5 + 1 - 2) as u + k*g**2 + q*g and give q.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (5 + 0 + -2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.008 + 0.045\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3524 and 12268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 5*b**2 + 5*b + 1. Let h be l(4). Suppose r + 2*p = 2 - 0, h*p + 5 = 0. Solve 0 = -3*i - i - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 26791780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + 214*j**2 - 4738*j + 2450. Give u(189).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -6 + 2*x**4 + 2*x + 11133*x**3 + 3*x**2 - 11131*x**3 + 3*x**2 in the form h*x**3 + i*x**4 + d + s*x + o*x**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 - -3) + -5 - (11 + -17). Solve -o*r + 7 + 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 77650 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Do -86804 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 7, e: 3, d: 4, g: 2, o: 2}. What is prob of picking 1 b and 1 g?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 0 = 2. Let t(p) = -5*p**2 + 6*p + 7*p**2 - 12 + k. Is t(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31 = -3*g - 4. Let s be 6\/4 - g\/(-6). Suppose -2*t = -11 - s. Solve -2*j + t*j - 5 = c, -5*j = 5*c - 35 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cvcjcwr. Give prob of picking 1 w and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1532 and 17300.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 3566448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -587.27 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 103*h**2 + 8*h - 1. What are the prime factors of b(3)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5465\/938 or -1?\nAnswer: 5465\/938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-64)\/(-36) + -2 + (-1580)\/(-792). Let g = v + -14\/11. Factor 0*f - f**2 + 0 - g*f**4 + 3\/2*f**3.\nAnswer: -f**2*(f - 2)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3223 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 112978133 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6265 + 3*x**2 - 5*x**2 - 2*x**2 + 10*x**2 - 8*x**2 to n + y*x**2 + l*x and give n.\nAnswer: -6265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -56?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*p - 111*p + 5*p - 141*p.\nAnswer: -227*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 2*s**4\/13 + 465168*s**3\/13 + 5116676*s**2\/13 + 1252320*s + 11628650\/13 = 0.\nAnswer: -232573, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*d**2 - 3*d**2 + 243*d**3 + 10*d - 241*d**3 to the form u*d**2 + o + v*d + p*d**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (12 - 15)*1*298\/(-3). What is the greatest common divisor of i and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, g: 15}. What is prob of picking 2 g?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**2 - 2*o - 1. Let z be n(-1). Let c(s) = s**2 + 2*s - 2. Let g be c(-3). Sort -1, g, z.\nAnswer: -1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(-3)*72\/(-18)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 = 88*a - 50 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 200.9 + -171.9. Let w(i) = -i**3 + 6*i**2 + 8*i - 2. Let s be w(7). Sort s, 4, c in descending order.\nAnswer: c, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -j - 18. Suppose j*l = l + 55. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -2*x**2 - 47*x - 29. Let i be q(-23). Let f be i\/(2\/21*7) + 0. Which is the second smallest value? (a) 0 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is s in 7\/2*s**2 - 2*s**3 + 0 + s = 0?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1575*z + 1414*z - 4099*z + 2341*z.\nAnswer: 1231*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 122*w + 5931. Give b(-61).\nAnswer: -1511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 2719852?\nAnswer: 13599260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y + 12 - 43 = -3*a, -3*y - 5*a + 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8958 - -5724164\/639. Let w = l + 631\/2556. Is w smaller than 38.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3116005.\nAnswer: 5, 73, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*u + 9*u - 18. Let i be 5\/(-25)*(-1)\/(u\/(-4)). Put 0.1, i, 4\/13 in ascending order.\nAnswer: i, 0.1, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*t - 18*t - 3367434 = 2920098. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*m = 13*m + 174. Suppose 0 = -3*w - 2*z + 874, -3*w - z + 820 = -m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 34640?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 294 = 4*j + 2*m, -3*m + 366 = 5*j. Let i = j - 71. Solve -2 = -i*g - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*n**4 - 788*n**2 - 319*n**5 + 389*n**2 + 399*n**2 + (-8 + 3 - 1)*(n**4 + n**5 - n**4).\nAnswer: -325*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -804, -5, 4 in ascending order.\nAnswer: -804, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -551 + 555. Put 0, -2, 26, z in descending order.\nAnswer: 26, z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of -9*q**4\/4 + q**3 + 110*q - 117. What is the derivative of r(w) wrt w?\nAnswer: -27*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 2*y = 0. Let l be -2 + (2 - 2) - y. What is the smallest common multiple of 4 and -2 - -4 - (l - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 215598 and 26?\nAnswer: 2802774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1671101\/6 or 278517?\nAnswer: 1671101\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -7*f + 78. Let l be s(11). Let g(h) = -h**3 - 2*h**2 + 1. Calculate g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 3*i**2 - 17*i - 12. Let z(f) be the second derivative of -f**4\/3 + 8*f**3\/3 + 6*f**2 + 31*f. Let s(h) = -5*w(h) - 4*z(h). Does 14 divide s(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of 0*f**2 + 0*f**3 - 2\/15*f**6 - 3*f + 9\/5*f**5 - 68 + 0*f**4. Factor q(a).\nAnswer: -4*a**3*(a - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 180416 is divided by 30020.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -45*i + 43. Is c(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.4 + -2.2. Let u be (-2)\/(-3)*3\/(-2). Sort u, z, 3.\nAnswer: u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes after 6:43 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-66)\/(-77))\/(3\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3360 divided by 80.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 683571 and 987?\nAnswer: 32127837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4448?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g - 17 + 6 - 3*g**2 + 7. Let k = 7 + 1. Let y(f) = 13 + k*f**2 + 4 + 5*f**2 - 7*f - 2*f. What is -9*v(h) - 2*y(h)?\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**6)\/(j**(-1\/17)*j))\/(j\/(j\/j**(-12))*j**1) assuming j is positive.\nAnswer: j**(290\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -1e9 (base 15) to base 2.\nAnswer: -110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(33)\/(sqrt(99)\/(sqrt(9)*2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 0*a = 0. Suppose a = -b - 9. Do -9 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -6. Let n be k\/111*(1 + 1). Let z = -0.4 - 3.6. Which is the smallest value? (a) n (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 80\/(-6)*12\/(-90)*-9. Let o(m) = -m**2 + 6*m - 9. Let b be o(7). Is h >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1222243 + -120?\nAnswer: -1222363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 + -6. Let g = 58 + -41. Suppose 3*h - 10 - g = 0. Calculate the smallest common multiple of o and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (3 + -3 - -6) + (-55 - -38)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 156*d + 143*d - 75 = 314*d. Let s be (-3 - 0)\/(2\/22). Put d, 0, s in decreasing order.\nAnswer: 0, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 + 28. Suppose 2*l + p = -l, 5*l = -5*f + 15. Let t = 234 - 157. What is the highest common factor of f and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of 0*u**6 + 0*u**7 - u**2 + 0 - 1\/84*u**8 + 0*u + 0*u**3 + 1\/12*u**5 + 0*u**4. Find the third derivative of v(w) wrt w.\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j - 2*j**2 + 33981 - 16790 + j + 59258.\nAnswer: -2*j**2 + 76449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) 13 (c) 1 (d) -9 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3461864 = -40*k - 16*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 times -681.59?\nAnswer: 20.4477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 86*c**4 - 130*c**2 wrt c.\nAnswer: 2064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 39853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -39*z**3 - 17*z + 6974?\nAnswer: -117*z**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 8931378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -24262*h**2 + 62837*h**2 - 2*h + 35130*h**2 + 4*h - 2*h + (1 - 1 + h)*(-2 - h + 2).\nAnswer: 73704*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 - 11 = 3*r - b, 0 = -3*r - 2*b + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 7 and -0.062?\nAnswer: -0.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 7:17 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22144588, -22144590, -22144594, -22144600, -22144608, -22144618, -22144630?\nAnswer: -22144644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 + -6.3. Let h be 1\/((-4)\/(-340)) - 1. Let y be h\/(-70)*2\/(8\/(-10)). Put d, -0.5, y in ascending order.\nAnswer: -0.5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the second derivative of 65*m**4\/12 + 55*m**3\/6 - 25*m**2\/2 - 4*m. Let i(t) = -8*t**2 - 7*t + 3. Let v(z) = -3*a(z) - 25*i(z). Factor v(r).\nAnswer: 5*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 278? (a) 230.5 (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 44725778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -4 + 75\/65 - 2\/13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(363) + sqrt(363)*1)**2*-5 + -4)*-2 + 2*-5*(-2*sqrt(3) + 5)*-5.\nAnswer: -100*sqrt(3) + 14778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 4*q = 3*x - 31, -2 = -2*x + q. Suppose 0*z + 63 = x*z. Suppose -v + 0*v + 3*i = -22, v - z = 4*i. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 4, 1 in increasing order.\nAnswer: 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/119882 and -25\/6?\nAnswer: 359646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = 2*b - 4*c - 15, 2*c + 6 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.8078486 millennia?\nAnswer: 8.078486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54, 18, -58, -186, -378, -646, -1002, -1458?\nAnswer: -2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 682 is divided by 665?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -116114*k*t**2 + 2*k*t - 141926*k - 3*t**2 - 6 wrt t?\nAnswer: -232228*k*t + 2*k - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -59*c*j**2 + 2*c*j - 308*c - 7*j**2 - 19 wrt j.\nAnswer: -118*c*j + 2*c - 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u + 3. Let w be z(6). Which is the closest to -1? (a) w (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.4, 1\/1072, -1\/8, -30\/23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 1\/21, -0.12, 2, -1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:16 AM and 8:38 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -12*t + 9*t. Calculate the remainder when 66 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of v**5\/60 + v**4\/8 - 2*v**3\/3 - v**2. Let s(g) be the first derivative of t(g). Differentiate s(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*t + 21*t = -30. Let f = -7.8 + -0.2. Let j = f - -5. What is the fourth biggest value in t, j, 2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-121)\/(-1089)*402\/(-1270) and -33\/125.\nAnswer: 47625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a + 50. Suppose 4*v = 3*v. Let x be r(v). Suppose 0 = 4*k - 2*u - x, -4*u + 0*u = -5*k + 64. What is the greatest common factor of k and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*(10 - 136\/17). Solve -4*u - a = -5*o, -o + 3*o + 5*u + 10 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-87*s + 2 - 105*s - 70*s)*(1 - 2*s + 0 + 3*s).\nAnswer: -262*s**2 - 260*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2*(1\/2 - -2). Suppose -z*x = -9*x + 296. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -870*-5\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 2 o, and 1 s when four letters picked without replacement from {f: 4, j: 2, s: 5, w: 1, e: 1, o: 2}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26970658 divided by 286.\nAnswer: -94303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/(-83 + 23))\/(6\/(-108)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8116469.\nAnswer: 8116469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the third derivative of 0 + 1\/60*m**5 + 0*m**3 + 5*m**2 + 1\/24*m**4 + 0*m. Determine j, given that q(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - 9. Let k = 12 + -16. Which is the smallest value? (a) o (b) -2\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:08 PM and 1:59 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -2*b + 3*b + c, -100 = -5*b + 4*c. Suppose 3*h = -3*w + 7*w - 260, 2*w = h + 88. Let k = h - -129. Calculate the lowest common multiple of b and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2 - 5*d - 6. Let m(l) = -4*l - 5. Let z(n) = 3*i(n) - 4*m(n). Let j be 7\/4 + 1\/4. What is the remainder when 31 is divided by z(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 732\/192 - (5 - (4 - 3)). Is 51 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42, 72, 68, 12, -114, -328, -648, -1092?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q + 3*q = 2*n + 7, 2*q + 3*n + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 34839 - 25030. What is the thousands digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 83674073 to the power of 1\/2, to the nearest integer?\nAnswer: 9147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2635 - -2686. What is the highest common factor of 663 and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the second derivative of -t**4\/3 + 7*t**3\/6 - 39*t**2\/2 - 6*t - 5. Differentiate y(u) wrt u.\nAnswer: -8*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*t**4 - 3*t**4 - t**4 + (20*t**2 - 20*t**2 - 2*t**3)*(1 - 1 + t).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 3794 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/188092 and 101\/1298.\nAnswer: 2069012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 888 - 892. Put -1, 27\/8, r, 0.04 in ascending order.\nAnswer: r, -1, 0.04, 27\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(405) - sqrt(405))*2.\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 340 + -290. Let q = -1591 - -2039. Calculate the remainder when q is divided by h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2673) - 1*((sqrt(2673) - 1*sqrt(2673)) + sqrt(2673) + sqrt(2673)))\/(sqrt(36)\/(sqrt(12)*2) + sqrt(3) + (sqrt(3) + sqrt(12)\/sqrt(4))*3))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/10*24\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - (-1 + 5)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 222329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 122*n**2 + 702*n + 6283. Calculate the remainder when i(-9) is divided by 394.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence swq when three letters picked without replacement from {q: 1, y: 4, w: 1, s: 6, u: 1, c: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-1)\/u**8*u**1\/u*u**(-3\/10) assuming u is positive.\nAnswer: u**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 1629326 = -m - 1629317, -4*m - 20 = 2*l for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 1726*b - 636. Is x(7) a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 309*i - 45*i - 56*i + 553*i + 73056 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2048 + 1416. Let i = w - -788. What is the highest common divisor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -u**3 + 6210*u**2 - 2089521*u = 0.\nAnswer: 0, 357, 5853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of h**9\/30240 - h**6\/360 - h**5\/30 + 3*h**2. Let a(q) be the third derivative of s(q). Differentiate a(n) with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = -11*o + 14*o - 4370, 2*o = w - 874. Is 46 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 257962.4 litres in millilitres?\nAnswer: 257962400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4950 and 10824.\nAnswer: 811800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*d + 46*d - 1746 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 5*x + 4*x - 19 = 0, -5*x = 3*g - 7. Let a(w) = w**3 - w**2 + 4*w - 4. What is the remainder when a(3) is divided by (-42)\/(-4)*(-8)\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-37)\/2 - 3\/6. Let r = a - -34. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 2*sqrt(2800) + ((sqrt(2800) + 1)*-6 - sqrt(2800)) + -1)**2.\nAnswer: 2200*sqrt(7) + 70121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -324751*r**4 - 683920*r**2.\nAnswer: -7794024*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -3*a - 81, 8*d - 3*d - 4*a - 372 = 0. Calculate the lowest common multiple of 20 and d.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:06 PM and 2:54 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**2 - t - 20. Let o be f(-5). Solve o + 0 = -2*d - 5*q, 16 = -4*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -2\/5, -4\/31, -5, -50, 0.4 in ascending order.\nAnswer: -50, -5, -3, -2\/5, -4\/31, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9\/5 in -0.1, 255, -1460?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2792 - 7. Suppose 2*d + 3*d = j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 2*v**2 - 38*v + 36. Let q be p(18). Let u(j) be the second derivative of -1\/60*j**5 + 1\/90*j**6 + 0 + 0*j**2 + 0*j**3 + q*j**4 + j. Factor u(n).\nAnswer: n**3*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5115026039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, u: 3, s: 3, r: 2, x: 2, q: 1}. What is prob of picking 1 t, 1 u, and 1 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes after 5:32 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -91 by -527.\nAnswer: 91\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - -10020001000021010?\nAnswer: 10020001000021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -411, -157.8, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 10768728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = -4*c + 5*y - 73200004, 3*c + 54899995 = -5*y. Round c to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -6710 (base 8) to base 5\nAnswer: -103103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*v - 7*v + 8*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -82*q**3 - 72*q**3 - 80*q**3 - 72*q**3 - 62*q**3 + 364*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 3*y - 2*y)*(-22*y**3 + 81*y**3 + 77*y**3 - y**2).\nAnswer: -136*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c**3. Let h(s) = 3*s**3 + s**2. What is -6*f(g) + 5*h(g)?\nAnswer: -3*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-2))\/2*(936\/13)\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/4 - 6\/(-8). Which is bigger: -4\/17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1967*a + 5376*a = -17045 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1000*r**2 - 5999*r**2 + 5797*r + 901*r wrt r.\nAnswer: -13998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 247*d - 441*d + 235*d - 451 = 0 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 0.5, 0, -0.07, -3\/7 in increasing order.\nAnswer: -3\/7, -0.07, 0, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15170, -30342, -45514?\nAnswer: -60686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 5*r + 29. Calculate the common denominator of -4 + (r - (-628)\/32) and 79\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 - -4*(-1)\/4. Let c be (22 + 3)\/(-5) + (-4018)\/(-804). Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1243 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(-5)\/(-12) - (-9)\/12*(-1551)\/(-99).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Solve -499*s - 372 = -822*s + 509*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 7. Let l = 3.99 - 4. Which is greater: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -12*n**3 - 14*n**2 + 56*n - 49. Determine d(2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32285 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6 and 18699663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vdo when three letters picked without replacement from {v: 2, o: 1, m: 1, k: 1, d: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19.2 + -17.2. Which is the second biggest value? (a) 218 (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + 1165245?\nAnswer: 1165243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1355 - 5013232?\nAnswer: -5015031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -310 by -62.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 176 divided by 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 14*b - 2*b**3 - b**2 - 16*b + b**3 + 0*b**3 as m*b + x*b**3 + y*b**2 + u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - k = -4*y, -5*y = -3*k - 24. Suppose -8*p + y*p = -70. Calculate the greatest common divisor of p and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(308)\/sqrt(63))**2 + 3 - (0 + 5*(-1 + sqrt(176)))**2.\nAnswer: -39754\/9 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/(-7) + 117\/(-91))*-8. Let y(l) = 17*l**3 + 2*l**2 + 3*l + 29. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8885 is divided by 230?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/(-3) - (-5)\/3. Suppose m*n + 80 = 6*n. Let q = n + -11. Calculate the remainder when 26 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -25*l**4\/4 + 27*l**2\/2 + 13. What is the second derivative of g(n) wrt n?\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23 + 50. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (3\/6)\/((-548)\/184 - -3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 169 a factor of 2811206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30642 is divided by 93.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -741 - -7138?\nAnswer: 6287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*m + 2*c, 4*m + 45*c = 48*c + 15. Suppose y - 5 = -1. Suppose -y*s + 0*s = 0. Solve s = -m*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 - 25\/2*-2. What is the greatest common divisor of 242 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28388*p - 4 + 14139*p + 4 + 14200*p.\nAnswer: -49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 1\/65609446 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ucll when four letters picked without replacement from lluc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.3373621 - 0.3395. Round s to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 440 and 2090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(4*(-9)\/(-12))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 1371*b + 131. What is the units digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 4*r + 14 = 0, -4*r + 7*r = 5*i. Let k be (-1)\/(1\/i) - 2. Is -1\/4 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -38*g - 13. Let s(p) = -19*p - 6. Let q = 1081 + -1087. What is q*n(i) + 13*s(i)?\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 4*g - 5*n, -3*g + g - 2*n + 10 = 0. Solve -g*u - 24 = 4*p, -u - 1 = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2330\/12815*3\/(-4)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6 and 6609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 + -7*(-2 + 1). Let n(w) = -c + 7*w**2 + w + 5 + 10*w**2. List the prime factors of n(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 120095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -10*t + 4. Let z be (5\/4)\/(4\/(-32)). Let g be r(z). Suppose 2*c - g - 16 = 0. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*w = 4*v + 27*w - 9, 0 = v + 39*w - 120 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 4 and -147 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9798 or 9797?\nAnswer: 9798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 47218424 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1450429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -4 + 2 + -5 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -12*x**2 - 4*x**2 + 17*x**2. Let u(a) = -30*a + 2. What is n(u(k))?\nAnswer: 900*k**2 - 120*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -a + 15 - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 5151, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 12, 67, 210, 489, 952, 1647?\n\"Answer: 8*d**3 - 4*d**2 + 11*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-3*((2*sqrt(272) - sqrt(272))**2 - sqrt(272)) - -3*sqrt(272)*-1).\nAnswer: -4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 3447, 3482, 3541, 3624, 3731?\n\"Answer: 12*h**2 - h + 3436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20594977*w + 12216358.\nAnswer: 20594977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 25 = -0*s, -q + 35 = 3*s. Suppose 4*k - q = -g, k - g = -2*k + 15. Is k not equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*j + 6645 - 1935. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2066 = 10*s - 16386. Let q = 790822 - 5545758\/7. Let m = s + q. Find the common denominator of -22\/9 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 266 and 9234.\nAnswer: 64638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4.221 + 5.779. Put 0.3, -28, q, -0.3 in ascending order.\nAnswer: -28, -0.3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 24 = 2*r - 4*r, 0 = 2*r - 4*y. Suppose -r*s + 1260 = -0*s. Calculate the highest common divisor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*s + 43*s. Factor 3\/4*v**3 - 3\/4*v**4 + 0*v + 0*v**2 + s.\nAnswer: -3*v**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -3*k - 36, -59 = -0*c - 3*c + 2*k. Let r = 330 - 316. What is the greatest common divisor of c and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5952169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 3 + 0)*(83*z**2 - 12*z**2 + 193*z**2)*(-1 + 5 - 1)*(3 + 3 - 1).\nAnswer: 7920*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 - 12 = 10*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + -10131443532?\nAnswer: -10131443540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, b: 3}. What is prob of sequence bxbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the third derivative of o**5\/60 - o**4\/24 - 988*o**2. Let f(z) = -9*z**2 + 12*z. What is 5*f(k) + 60*i(k)?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.76 + -3.66. Which is the nearest to t? (a) 1 (b) -0.3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes after 4:08 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -825, -824, -821, -816, -809, -800, -789?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19538198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48 + 2*i**2 - 509*i + 158*i + 180*i + 171*i.\nAnswer: 2*i**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -5, -3\/8, 0.4.\nAnswer: -5, -3\/8, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2*s**2 - 410976*s + 9864576 = 0.\nAnswer: -205512, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 + 234.3.\nAnswer: 229.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-261)\/90 - ((-61)\/(-10) + -6). Which is greater: b or -1.08?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 5:23 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -15. Suppose -b = -4*l + 1. Let q be (l\/10)\/(2\/6). Sort -4, -3\/4, q in increasing order.\nAnswer: -4, -3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*u**5\/2 - 53*u**4\/4 - 55*u**3\/4 + 155*u**2\/4 + u\/4 - 21\/2 = 0. What is u?\nAnswer: -7, -3, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gvgvggvggvgnangvvvg. Give prob of picking 2 n.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, e: 5, v: 1, g: 1}. Give prob of picking 2 e and 2 h.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 169\/180 and 103\/1499520.\nAnswer: 4498560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2595713, 2595702, 2595683, 2595656, 2595621?\n\"Answer: -4*y**2 + y + 2595716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 r when four letters picked without replacement from {l: 2, w: 3, r: 12}.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1098640423 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (10\/8)\/((-1)\/(-4)). Suppose 0 = -5*g - j*n + 85, -3*g + 3*n - 19 = -4*g. What is the remainder when 31 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k - 25 = -10*k + r, -4*k + 5*r = -97. Suppose i - k*q = -26*q + 6, -3*i + 18 = 3*q. Solve -i = -a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -104, -183, -262?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8832\/48)\/(-4) - (-20)\/(-7 - -3).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/(-5)*5\/(-2). Let r = f - -5. Suppose 5*v = -5*u + 15, r*v + 33 = 5*u + v. Calculate the smallest common multiple of 10 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -12*b**2 - 445*b + 34. Let y be z(-20). What is the greatest common factor of y and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 239 - (-1 - (-9)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -455, -2021, -3563, -5075, -6551?\n\"Answer: o**3 + 6*o**2 - 1591*o + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1132 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4 - -3 - 1) + 3. Let z(u) = -2*u + 2*u**2 - 3 - 1 - 8*u**3 + 0 - f. Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 4*h**2 + 6*h - 5. Let d(x) = -x**2 - 1. Let g(o) = 10*o**2 + 7*o + 1. Let p(q) = -5*d(q) - g(q). Let k(v) = 3*p(v) + 4*r(v). Determine k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 15) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from nennneenennennhnne.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*u = 17*u + 1056. Solve 0 = -1402*c + 1404*c + u for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + t + 36 = 0. Let o be t\/8 - 4\/(-8). Solve o*k + 3*x = k - 6, 4*x + 8 = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 45498981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u = -5*v - 7*u - 32, -2*v - 3*u - 15 = 0. Let g = 51 - 48. Let d(n) = -n**2 - 5*n**2 + 0*n**g + 3 - n**3 - 4 + n. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -b738 - -12?\nAnswer: -b726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 15*o - 1. Let j be k(0). Let m be 4\/(-5 + j - -137). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 387263662*m**2 - 425265856*m?\nAnswer: 774527324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/247100 and 73\/75.\nAnswer: 741300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d - 3*t - 15 = 3*d, 4*d + 2*t = 14. Solve a - 6 = d*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the third derivative of 0*f**3 + 0*f + 0 - 1\/60*f**5 + 16*f**2 + 1\/10*f**6 + 0*f**4. Factor b(z).\nAnswer: z**2*(12*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:39 PM and 10:15 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 3\/4, -2\/3, 5, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 75566 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -135*k + 14436945 = 14434920 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5\/182 + 895\/546. Which is the nearest to -1\/2? (a) 5 (b) q (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the second derivative of b**4\/12 - 1640*b. Let m(f) = 1078*f**2. Give m(w(g)).\nAnswer: 1078*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = c**3 - 5*c**2 - 2*c + 4. Let i(d) be the first derivative of d**3\/3 - 3*d**2 + 5*d + 5. Let j = 9 - 3. Let b be i(j). Calculate n(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnoononnnnooo. What is prob of sequence onoo?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -143398 - -35?\nAnswer: -143363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p**2 + 5*p**2 + 2*p**2 + 2*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 - -11. Let y = -171 + 165. What is the second smallest value in y, -1, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 289\nAnswer: 144.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 1549*z - 6192. Give y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 131 times -2057.72\nAnswer: -269561.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 49 + -49.5. Let m = g + 0.2. What is the smallest value in 3, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - 9b?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -4a3624 (base 12) to base 14\nAnswer: -236724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 + -8. Let l = 0.36 - 0.34. Let y = -0.08 - l. Which is the smallest value? (a) y (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, r: 2, o: 1, b: 1, e: 1, k: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11001001010 - 110111?\nAnswer: 11000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 136899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2605.132 - 2605. Let r = -0.298 + 0.2006. Let w = x + r. Round w to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3 = -4. Let p be (x + 0)\/(((-10)\/2)\/(-5)). Which is bigger: 7\/13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h**2 - 15*h + 2. What are the prime factors of q(-8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 697, 705, 713, 721?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**2 - 1059*p + 9424. Give d(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-332)\/83*(-1)\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 62 minutes after 4:04 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 5*b**3 - 316*b**2 + 65*b - 112. What is x(63)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 239789105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 6, -191 in ascending order.\nAnswer: -191, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v - 27 + 3 = 0. Suppose 11 = 5*t + v*k - 8, -2*k = -3*t + 7. Suppose -t*f = f - 24. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 512.2725237 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -7795*k + 5056 = -7731*k for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v + 10. Let l be g(-8). Let a(b) = b**3 + 12*b**2. Let q be a(-12). Suppose q = 66*n - 61*n - 10. Solve -l*o = n*o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 136015336 and 696.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -99\/5, -42, 49, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 199289 is divided by 22126?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1919 + 0.0081. Let g = -74 - -77. Which is the second smallest value? (a) g (b) n (c) 2\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 3*p - 45 = -15, 4*b - 2*p - 36 = 0. What is the greatest common factor of b and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.4+5997\nAnswer: 5998.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1376, -2737, -4050, -5327, -6580?\nAnswer: -7821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 237890 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -56 - -60. Let p(d) = -2*d - 3. Let b be p(-3). Find g such that 0*g**b + 1\/3*g**2 + 0*g - 1\/3*g**r + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p**3 - 3*p**3 + 0*p**3)*(40*p - 40*p + 13*p**2 + 2) - p + p - 2*p**5.\nAnswer: -41*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 87 and 14703?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 11 - ((-11 - -18) + (-2 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + 6 + -3 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(675)*2 + sqrt(675))*6)\/(-2*(-3*(sqrt(441)*3 + sqrt(441)) - sqrt(441) - sqrt(441))))**2.\nAnswer: 6075\/9604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -293*s - 36790 = -859*s for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**3\/3 + 16*s**2\/3 - 8*s\/3 - 32.\nAnswer: -2*(s - 6)*(s - 4)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-146)\/(-73))\/((12\/(-3))\/20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/(v\/(v**(2\/19)\/v)*v)*v)\/((v\/v**(2\/15))\/v*v)*v*v\/v**23*v**(2\/23) assuming v is positive.\nAnswer: v**(-142076\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wnjwpp. What is prob of sequence nw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**2 + 6*m + 3. Let u(j) = -j**3 - j**2 + j - 6. Let y be u(0). Let r be x(y). Suppose -4 = c + c, -23 = -s + r*c. Solve s = 3*q + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -97*c + 5. Let g(i) = -i**2 + 195*i - 9. Let m(s) = -3*g(s) - 5*q(s). Does 27 divide m(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 10:55 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 3 + 2 + 3 - 9 + 87*f + 3023*f. Is z(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3. Let z(i) be the third derivative of -i**6\/120 + i**3\/6 + 135*i**2. Let g be 8*9\/9 - 7. Calculate g*z(u) - h(u).\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d**5 + 101*d**3*i - d*i - 12*d wrt d.\nAnswer: 40*d**3 + 606*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2125*v + 1023*v + 965*v + 3632 + 3629 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.1, -0.1, -8, -19, -1678, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l**5\/4 - 57*l**4\/4 - 105*l**3\/4 - 51*l**2\/4 = 0.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 7*w**2 - 7*w - 6. Let g be m(8). Calculate the remainder when -7 - (-2 - g) - -9 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p. Let f = -3 + 7. Let b be q(f). Let m(x) = -4 + x**3 - 2*x - 4*x**2 - 2*x**3 + 0*x**3. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 91*n + 4. Let h(o) = -8*o**2. What is h(c(i))?\nAnswer: -66248*i**2 - 5824*i - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -33023555 (base 6) to base 16.\nAnswer: -f00bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 3*o**2 + o + 6. Let v be f(7). Let s = -9 + v. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -232, -461, -690?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -2*n + 12, n - p = -5*p + 32. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1190*n**2 + 228*n**2 - 291*n**2.\nAnswer: -1253*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v + 4. Suppose -5*f = -7 - 3. Let h(g) = -7*g - 9. Let t(c) = f*h(c) + 5*u(c). What is t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i - 18 = -11*m, 2*m + 1316 - 1272 = -4*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r\/(r*r*r\/(r\/(r**(-12\/5)*r)))*r**(-7\/3)*r assuming r is positive.\nAnswer: r**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3189 is divided by 1048?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, -2\/41, 2 in decreasing order.\nAnswer: 16, 2, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14909.\nAnswer: 17, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 909 and 236542.\nAnswer: 2128878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5 take away -99250?\nAnswer: 99245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1255 and 9789?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the first derivative of p**5\/60 - 11*p**4\/24 + 5*p**3\/3 + 11. Let n(y) be the third derivative of l(y). What is the first derivative of n(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26292*f - 3794 = -26021*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z = 8*z - 8, -y = 3*z - 1157. What is the highest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125 = 6*v - 31*v. Let c(a) = -154*a - 206. Let j be c(v). Calculate the greatest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3964, -22, 0.4, 4, 0.3, 1\/8.\nAnswer: -3964, -22, 1\/8, 0.3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 11750 divided by -1\nAnswer: -11750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10391803?\nAnswer: 19, 546937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26668, -26657, -26646, -26635?\nAnswer: -26624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -2\/15 (c) -0.34 (d) 1 (e) 3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.04 * -0.052.\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -10110212120212 (base 3) to base 4.\nAnswer: -13003012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1708214938.\nAnswer: 2, 20117, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*q - 499 = -5*b, 72 = 151*q - 156*q - 2*b + 266 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.3 - -0.6. Let l be (-2)\/1 - (-19)\/10. Which is the nearest to -2\/9? (a) j (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = -4*t - 27, z = 6 - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 2*u**2. Let v(f) be the first derivative of 37*f**4\/24 + f**3\/6 + f**2\/2 - 5*f + 8. Let h(r) be the second derivative of v(r). Calculate i(h(z)).\nAnswer: 2738*z**2 + 148*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3.998634ug in grams?\nAnswer: 0.000003998634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 6:33 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 10071, 9238, 8405?\n\"Answer: -833*s + 10904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-140)\/74 + (-426)\/(-23217)*109?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 267104.9 centuries?\nAnswer: 26710490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 21*t**2 + 3 - 5*t**2 - 14*t**2.\nAnswer: -40*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 90\/(-504)*(-168)\/80. Put -2.43, r, 0.6, 2\/11 in decreasing order.\nAnswer: 0.6, r, 2\/11, -2.43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 456832606380.3 and -22.\nAnswer: 456832606358.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 1122*p - 1124*p - 40 = -2*n, 0 = -5*p + 4*n - 96 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.06 (b) 2424 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.69 - 2.8. Let o = j + -0.13. Round o to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7*t. Let v(m) = -14*m**2. Calculate b(v(f)).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1195 or -1212?\nAnswer: -1212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -34*w**2 - 43*w + 56. Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 + 18*m + 17. Let b be k(-17). Suppose 15*r - 8*r = b. Let l be 9 - (3 - 0\/(-5)). Is l at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2905 - -1123. What is the highest common divisor of c and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*f + f + 2*f - 181*f - 82 + 82 - 85*f + (1 + 1 - 3)*(3*f + 0 + 0) as i*f + h and give i.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + 17. Suppose 0 = -5*b - 0*b - n. Let a(k) = -k**3 - 5*k**2 - 3*k - 2. What is a(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119716529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (21\/(-18))\/(40*15\/2700)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -305.495 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 73279446 != 73279450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (108\/(-15))\/(-12) - 12\/(-5). Solve 0 = 7*f + c*f - 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 198327, 198354, 198379, 198402, 198423, 198442?\n\"Answer: -y**2 + 30*y + 198298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4879590433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put together 543089589 and -0.3.\nAnswer: 543089588.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6925 and 1013575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 + 5*i**2 + 7*i - 3. Give v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 = -4*c + 60. What is the third smallest value in -4, c, -0.062, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*l**3 + 3*l**3 - 3*l**3 + (0 + 0 - 2*l**2)*(0*l + 4*l - 2*l) + 16*l - 7*l**2 + 354 - 2*l**3 - 356 - 12*l.\nAnswer: -9*l**3 - 7*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2421*z + 26*z**2 - 7636 - 23*z**2 + 2420*z + 7636 - 4841*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -128.690067 - -0.1.\nAnswer: -128.590067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f**2 - 6*f + 7. Let r be p(-6). Suppose -2*k - x = -5*k + 19, 0 = -5*k + x + 29. Factor 4*d**2 - 2*d**3 - 9 - 3*d - 2*d + k + r*d.\nAnswer: -2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l + 1. Let b be o(-1). Let r(s) = -b*s - s + 4*s - s**2. Let a(m) = 2*m + 3*m - 7*m. Give r(a(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 2\/5*f**3 + 48\/5*f - 32\/5 - 18\/5*f**2 = 0. Calculate f.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1050, -3712, -8144, -14340, -22294, -32000, -43452, -56644?\n\"Answer: v**3 - 891*v**2 + 4*v - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (3 - 4)*(-6)\/(3 + -1). Suppose -6*l + f*l = 5*l. Solve -y + 6 = -2*j, l*y - j = -y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 139*y = -249*y + 1676 + 6860 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:28 PM and 7:38 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of 217*w**6\/60 + w**4\/24 - 973*w**3\/6 + 75*w**2. Find the first derivative of l(t) wrt t.\nAnswer: 1302*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 135 + 64 + -252 + 40?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y - 2*y + 2*y)*(-2 + 2*y + 2)*(-102*y + 25 + 26 - 51).\nAnswer: 408*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*s + 11*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.5 in -980, -0.1, -0.22, -3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.01 and -195.8.\nAnswer: -1.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47 - 49 = 3*d + 2*i, -28 = -4*d + 5*i. Let z(y) = -y**2 + y - 1. Let o(r) = -7*r**3 + 2*r**2 - 2*r + 2. Calculate d*z(g) + o(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 74960.55 days in nanoseconds?\nAnswer: 6476591520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the second derivative of 9*c**5\/20 + 3*c**2\/2 - 2*c. Differentiate q(p) with respect to p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 4. Let t(y) = -4*y - 5. Let n(w) = 6*w + 8. Let o(m) = -2*m**2 + 3*m + 6. Let d be o(-2). Let k(i) = d*t(i) - 5*n(i). Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50889458.\nAnswer: 2, 83, 306563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.366 and -1.3?\nAnswer: 0.4758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*(f*f*f*f**3\/f*f)\/f)**(19\/3)\/(f\/(f**(-1\/4)\/f))**32 assuming f is positive.\nAnswer: f**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.089 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 2\/4534815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12283 and 55948.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 35*g - 113. Let a be 68\/18 + -4 + 38\/9. Let s be u(a). Is s at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the second derivative of s**9\/7560 - s**8\/1120 + s**7\/420 - s**6\/360 - s**4\/6 + s. Let c(d) be the third derivative of v(d). Factor c(h).\nAnswer: 2*h*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the third derivative of -t**6\/900 - 2*t**5\/225 + 7*t**4\/36 + 10*t**3\/3 - t**2 + 33*t. Factor j(s).\nAnswer: -2*(s - 6)*(s + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -18*k - 6. Let i be p(-6). Suppose -87 - i = -3*j. What is the remainder when j is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 5*a - 0 + 21, 2*a - 51 = -5*l. Calculate the greatest common factor of 176 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c - c + 2*c)*(c**2 + 1 - 1) + (5*c**2 + c**2 - 4*c**2)*(-c + 2*c + 0*c)*(-2 - 1 + 0).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-2\/17))\/(s**(1\/9)*s))**(-37)*(s**(7\/3)\/s**(2\/11))**38 assuming s is positive.\nAnswer: s**(137191\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = -3*y - 268, 0 = f - y - 28 - 26. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 9) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/45*(2*(-129)\/(-3) - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/7 and -71\/5238?\nAnswer: 36666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the first derivative of -w**5\/60 - w**4\/12 - w**3\/6 - 15*w**2\/2 - 3. Let t(k) be the second derivative of l(k). Let y = 4 - 2. Determine t(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 90\/54 + (-2)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1\/(-2))\/((-39)\/52). Let j = 0.6 + 2.4. Which is the closest to 0? (a) o (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1003031 (base 4) in base 8?\nAnswer: 10315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54*y**2 - 53*y**2 - 2 + 2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3517012800 rounded to the nearest 1000000?\nAnswer: 3517000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*j**5 + j**3*v**3 + 2*j*v - 10*v**3 wrt j.\nAnswer: 40*j**3 + 6*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 313*q**2 - 2*q. Let a be h(-1). Let i = a - 309. Let s(v) = 2*v. Give s(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -65024*-32\nAnswer: 2080768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the first derivative of -h**2\/2 + h + 3. Suppose -2*s - 36 = -4*s + 4*l, s - l = 14. Let g = s - 7. What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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 31623930 rounded to the nearest 10000?\nAnswer: 31620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -81501 (base 10) in base 5?\nAnswer: -10102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 6. What is the smallest common multiple of j and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 165*l + 32423. Determine n(-197).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/216352 and 97\/7044.\nAnswer: 380995872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 9615 (base 10) to base 9.\nAnswer: 14163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3601 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -655 + 653. What is the closest to 0.2 in -3, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2*d + 12. What is the remainder when 5 - 5\/((-10)\/4) is divided by z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + 172*w**2 - 490*w - 2876. What is i(169)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ioii when four letters picked without replacement from {o: 7, i: 4}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = 5*t - 29, -2*s - 8*t + 12 = -12*t. Let l = -5 - -25. Calculate the lowest common multiple of s and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2197 + 2193 - 4390 + 28596*l**2.\nAnswer: 28596*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0, 13, 3, -1 in descending order.\nAnswer: 13, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) -81\/4 (c) -101 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1473*g**3 + 20629*g**2 - 72275*g + 343 = 0 for g.\nAnswer: 7\/1473, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 37379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 2\/87, 5, -2, 3155, 2\/5?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -5*r**2 + 37*r + 35. Determine t(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h**2 - 22*h**2 + 8*h**2 + 19*h**2 - 5*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-24))\/((h\/(h*h\/h**25))\/h))\/((h\/(h*h*h**14))\/h**(-1\/6)) assuming h is positive.\nAnswer: h**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38663*f**2 + 38635*f**2 - 115947*f**2 + 38648*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -94 (b) 5\/7 (c) -0.1 (d) -2\/9 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -81520 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-7)\/(-2)*-2 + 3. List the prime factors of (-30)\/((-12)\/m - 5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.9 (b) -4 (c) -0.3576 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -5 - 10) + 14 - 8 - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 396.4686um in kilometers?\nAnswer: 0.0000003964686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3*7*2784\/721056?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 8 = -4*i, y - 4*y - 11 = -5*i. What is the closest to y in 4\/7, -20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/1686036 and 19\/26028?\nAnswer: 15174324","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 80832 and 354720.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = -2*u + 67. Solve 4*a - u + 0 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 1.8395 micrograms?\nAnswer: 0.0000000000018395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 75 + -71. Let s*q**3 - 6*q**3 - 2*q + 2*q + 2*q**2 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 202902 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-54)\/(-12) + 1\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 93322316 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -40 + (-13 - -80 - 52)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 3900 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7.85 - -0.15. Let d = z - 7.7. What is the nearest to 1\/3 in d, -0.1, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*x - 28*x + 87*x - 26*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1957 is divided by 245.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the first derivative of -b**3\/3 + 3*b**2 + 7*b - 1. Let w be t(7). Suppose 27 + 32 = 4*s + a, w = 4*s + 2*a - 54. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 621 and 2901933.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 1. Let p(z) = z. Let m(a) = -k(a) + p(a). Determine m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 5\/3*s**2 - 4\/3*s**3 - 1\/3*s.\nAnswer: -s*(s + 1)*(4*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express o + 0*o + o + (-3*o + 3*o + 2*o)*(2 - 2 + 2) + 2*o + o + 0*o - 2*o + 5*o + 0*o as u + x*o and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the first derivative of -3*k**2 + 4*k - 22. What are the prime factors of y(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4008803609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -13.4, -2, 8 in decreasing order.\nAnswer: 8, 0, -2, -13.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3916*k**2 - 1949*k**2 - 1952*k**2.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -180 - -386. Let k = t - -29. What are the prime factors of k?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -24*v + 3. Let x(y) = 27*y. Let d(u) = -3*b(u) - 3*x(u). Calculate d(8).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1981174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 + -20003?\nAnswer: -13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.91 + -0.09. Let f = -50 - -68. Let h = f - 15. Which is the second smallest value? (a) h (b) -1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 296698037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j\/(j\/((j*j**3)\/j)))*j)*j*j**(-4))**(5\/3) assuming j is positive.\nAnswer: j**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-32)\/12 - 3640\/(-3120)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -32435522 (base 6) to base 12.\nAnswer: -3a8ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 3 - -195*34\/255?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-5)*(-109)\/436*(-5)\/27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 2*k + k)*(10 - 9 - 8 - 151).\nAnswer: -158*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -12 + 14 - 2*q + 34*q**2 - 22*q**2 as o*q**2 + v + y*q and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -4*r**6 + 2. Let a(v) = -4*v**4 - 17*v**6 + 4*v**4 - v**2 + 9. Let y(l) = -2*a(l) + 9*j(l). What is the third derivative of y(p) wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -66 (base 12) in base 11?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -205 - 4*p**3 + 161 + 44.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 201*v + v = 67470222. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (42\/8)\/(1\/(-4)). Suppose 56*d = 51*d - 140. Let q = j - d. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 5*o**2 + 5*o + 16. Let i(a) = -3*a**2 - a - 1. Let w(m) = -f(m) - 5*i(m). Let y be 1\/((-1)\/(-2 + -3)). Is w(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-4)\/42)\/(9\/21). Sort -0.5, h, 0 in descending order.\nAnswer: 0, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -6*l**3 - 34*l**2 + 9*l - 16. Calculate the remainder when x(-8) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 483*g - a + 35 = 487*g, -4*a = 2*g - 14 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6124 a factor of 1310566620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2391, 2325, 2209, 2037, 1803?\n\"Answer: -i**3 - 19*i**2 - 2*i + 2413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 44 - 74. Let x = -27 - a. Determine v, given that -15*v**2 - x*v**5 + 18*v**4 - 8*v**4 + 9*v**3 - 7*v**4 + 6*v = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 52 + -50. Let b(o) = 2*o**2 - 54*o + 351. What is the remainder when b(8) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the third derivative of c**5\/5 + 5*c**4\/12 - c**3 + 8*c**2. Does 27 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (354 + -353)*8\/(7 + -3). Let 0*f + 0*f**d + 0 - 3\/2*f**4 + 3*f**3 = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.1, -4, -7, 1\/605?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1101010101100010000000 (base 2) to base 10\nAnswer: 3496064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 168 and 3000?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -6 + (4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**21*r)**12*(r**(-1\/19)\/r)**12 assuming r is positive.\nAnswer: r**(4776\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 - 2 + 2)*(108 - 2*c + 107 - 221).\nAnswer: -2*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 266, 7216, 26084, 62828, 123406?\n\"Answer: 993*f**3 + f**2 - 4*f - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 2291 divide 86989270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.1 - 0.1. Let k = -0.2 - l. Let q = 526 - 522. Which is the closest to k? (a) q (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 + 6*i**2 + 6*i + 9. Let p be v(7). Suppose -d + 3 = 4*n + p, -4*n = -4*d + 4. Solve n = -2*b - 0*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 - y)*(169 - 653 + 1354 + 1183 + 743) as j + u*y and give u.\nAnswer: -2796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -111101 (base 2) to base 7.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0.4, 3, -2\/3, 55130, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*g - 260 + 302 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -86 - 86 - 77 - 84 + 334. Let t(q) = q**2 + 10*q - 2. Determine -2*l(n) - t(n).\nAnswer: -n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 266580 and 252?\nAnswer: 1866060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2900744520.\nAnswer: 2, 3, 5, 24172871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 8542.161 hours to days.\nAnswer: 355.923375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 147 and -25743.7?\nAnswer: 25890.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 3, l: 2, s: 1, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + -13 + -2 + 5. Let z = 23 + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/((-1 - 0) + 10 + -7). Let d be -3 + -1 - (-7)\/s. Solve -2*v - 5*n + 2*n + 9 = 0, -v = d*n - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -62 + 127. Suppose 1 = 4*l + 21, -5*a + r = -3*l. Let t = a + -6. Solve 5*b = -3*z - 27, z - t = -4*b + 5*z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1057574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8.211 + 0.211. Put -2\/3, 0.4, 0.2, u in decreasing order.\nAnswer: 0.4, 0.2, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/7, 1, -565, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 + 4*a**2 - a - 4. Let r be b(3). Suppose -r*j + j = 3, 5*z - 35 = 5*j. Suppose -2 = -z*w + 3*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes after 10:57 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of -k**4\/4 + k**3 - k**2\/2 + 2*k + 14. Let i be 1\/(-1*2\/(-4)). What is l(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 1471*m + 376585. What is x(-256)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 16129 divided by -12171?\nAnswer: -16129\/12171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of -4*v**2 + 5*v + 942. Let j(i) = -7*i + 4. Determine 6*j(t) - 5*u(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -87\/1496 and -19\/624?\nAnswer: 116688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19.8 + 4.7. Let r = -25 + n. What is the second smallest value in 3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -8550*b - 12996009. Calculate j(-1520).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15299.16 + 15829. Round y to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1104\/207*22\/(-8). Which is the second biggest value? (a) 7\/4 (b) 0.06 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 31 = r, 5*r - 3*m - 70 = 85. Let i = r - 28. Suppose 7*p + w = i*p + 685, 485 = 3*p - 5*w. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*w - 46*w = -18084. What is the highest common divisor of w and 411?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 20*q + 2 - 24*q - 17*q.\nAnswer: -21*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*z = -72*z - 12. Let m be (1 - 2)*(-23)\/1. Suppose 0 = -z*g + m + 5. What is the remainder when 22 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283 minutes after 6:52 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -386 + 485. Calculate the greatest common divisor of g and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2175, -2236, -2297, -2358?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -123254, -113501, -103750, -94001, -84254?\n\"Answer: -x**2 + 9756*x - 133009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 552409 is divided by 1493.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1054946 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19*p + 2902 + 97*p - 2904 + 138*p to y*p + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0.03, -2, -1\/10886?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13965)\/(-29925)*110\/(-4)?\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12)\/((sqrt(240)\/sqrt(5))\/sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 5*c - 6 = 3, -15 = -4*k - c. Suppose 4*h = 96 + 60. Let d be 474\/h + 6\/(-39). Solve -k*g - d = -6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 93468.967 + -93525. Let p = 52 + -108. Let k = p - v. Round k to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in 4.7, -3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-503)\/(-1509))\/((1\/12)\/(25\/(-10)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from epieppiiiepppei. Give prob of sequence ip.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.024346 (b) 0 (c) 294\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25270*w**3 - 46910*w**2 wrt w?\nAnswer: 151620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2c7ccc + 1a?\nAnswer: -2c7cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1126 - -4670?\nAnswer: 3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1.3, 5, 0.06 in descending order.\nAnswer: 5, 2, 0.06, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 - (15 - (17 + -2 - 21))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36541290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 79*g + 2468. What is m(-31)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56064 and 44413200.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 3 + -2 + 4 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20221036 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1511 at most as big as 1578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 1. Let q(f) = f**3 + 3*f**2 - 1. Let x be q(-3). Let o be (x - -2)\/(8\/(-12)). Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*k + 24*k + 8 = 0. Sort k, -1, 0, -3 in increasing order.\nAnswer: -3, k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 28 + -10. What is the common denominator of ((-1)\/(-2))\/(p\/(-4)) and -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 5 = -53. Let b(q) = -8*q + 12. Let r be b(-6). What is the highest common factor of r and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 37 + -28. Let i(o) = c + o + 2*o**2 + 6*o + 151*o**3 + 155*o**3 - 307*o**3. Let h be i(4). Solve 0 = -f + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -0*n - 5*n + 15, -4*s = -4*n + 24. Let d(u) be the first derivative of 7 - u**5 + u**2 + 2*u**5 - n. Find the second derivative of d(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 716461279.\nAnswer: 47, 15243857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15485, 6302, -2881, -12064?\nAnswer: -21247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 224896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*p + 22*p + 14*p)*(-3*p**3 - 8*p**3 + 8*p**3) + 3*p - 3*p - 2*p**4.\nAnswer: -47*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nggl when four letters picked without replacement from {b: 1, t: 1, n: 4, j: 1, l: 3, g: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 585366 - 5267788\/9. Factor -376\/9*j + 1936\/9*j**3 - c*j**2 - 40\/9.\nAnswer: 2*(8*j - 5)*(11*j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lpp when three letters picked without replacement from plpktlptkrrrrrt.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8174372 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, -25, 0.2, -1\/3 in increasing order.\nAnswer: -25, -1\/3, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 5*c + 8296 = 0, c = -v + 6*v - 10349. Suppose -4*i = 6*u - 7*u + v, u - 2114 = -5*i. List the prime factors of u.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/3853872 and -23\/56.\nAnswer: 26977104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be -6*(-3)\/(-21)*42\/(-9). Suppose 5*g - 2*s = 14, -3 - 1 = -5*g - 3*s. Solve i*c + g = 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0007149045 rounded to 6 dps?\nAnswer: 0.000715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 7 = 5*h - 12, -13 = i - 5*h. Solve i*q - 12 = 6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 162 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6725, -6122, -5519?\nAnswer: -4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 12.7. Let j = 0.2 + -0.3. What is the smallest value in j, s, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18567.0481 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*d - 175*d + 6270 = 176*d - 177*d for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -12*n**2 + 2*n**3 + 6*n**4 - 1 - 7*n**4 + 15*n**2 - 3*n**3 + 6*n as p*n**3 + a*n**2 + g*n + u*n**4 + x and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 3, t: 3, u: 3, f: 3, l: 2}. Give prob of sequence tq.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*u + 30 - 0. What is the units digit of 270 + 5 + 30\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:53 PM and 10:53 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 61 minus 1366878.01922?\nAnswer: -1366817.01922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 b when three letters picked without replacement from {n: 5, l: 1, b: 4}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqjxeqjxjqjqquqjeq?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor m**4\/2 - 117*m**3\/2 + 231*m**2\/2 - 115*m\/2.\nAnswer: m*(m - 115)*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 16*j + 221 - 344 + 874 - 2*j as d*j + a and give a.\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 2*j + 17 = -3*s, -2*j + 5*s + 5 = 0. Solve n + 15 = -3*a, 0 = 2*a - a + j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**2\/3 + 3044*l\/3 + 12080.\nAnswer: 2*(l + 12)*(l + 1510)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m + 2*v - 19, -3*m - v = -0 + 18. Let g be (3\/m)\/(3\/(-30)). Solve 3*d - g = -21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1175)\/20 - 3\/(-4). Let z = y + 91. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 107 + -98 - (4 - ((10 - -7) + 4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*z = 50 - 120. Suppose 5*w - 2*r + 17 = 0, 3*w + 2*w + 18 = 3*r. Sort 6, z, w in ascending order.\nAnswer: w, 6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1249\/15 + 616931\/7410. Is -1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w - 2*w + 180. Suppose w = -b + 6*b. Calculate the remainder when (-24 - -1)*(0 - 1) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nxxxxnnnxxxxxnxxxnn?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (208\/(-2652))\/(496\/(-2108)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = k - 5*q + 18, -k + 3*q = 12 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.117701 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -16, 6, 64, 164, 312, 514, 776, 1104?\n\"Answer: q**3 + 12*q**2 - 21*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.69499073 - 1.695. Round m to 7 dps.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 230433 + -5?\nAnswer: 23042b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 3*m**2 + 4*m + 3. Let v be z(-1). Let g(s) = -7*s**v + 3*s**3 + s**2 - 4 + s**3 - 3*s**3 + 0*s**3 + 6*s. Calculate g(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3480, -3412, -3342, -3270, -3196, -3120?\nAnswer: -3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (2 + 1)) + (-16 - -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -697, -2644, -5893, -10450, -16321?\nAnswer: -23512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**2 - 2*b - 1. Suppose o = 5*y, -3*y - 5*o = -2*y. Suppose y = 4*a + a - 20. Suppose -a*u + 1 = -5*u. Calculate p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + d + 246 = 210, -60 = 9*k - 19*d + 16*d for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 - 4*i + 2. Let q be d(3). Let x(y) = 0*y**2 - y**2 + 0*y**2. Let b be x(q). Is b greater than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 8) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 263723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23234 + 122?\nAnswer: -23112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 430043044324 - 1?\nAnswer: 430043044323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4\/3, 1, -2\/9, 5\/4, -1\/64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-6)\/1)\/((-1)\/(-1)). Let z(y) = 2*y**2 - 8*y + 4. Let r(h) be the first derivative of 2*h**3\/3 - 7*h**2\/2 + 3*h + 1. Give s*r(j) + 5*z(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 81*u - 83*u + 129 = -j, -26*u - 19*u + 2715 = 15*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08105 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1395, 1386, 1375, 1362, 1347, 1330?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -16242*v**2 + 2534 + 8117*v**2 + 8123*v**2 - 2*v to the form o + y*v + r*v**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 35b + -13?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -8*q**2 + 11*q - 1. Let u = -258 + 256. Let d(x) = 3*x**2 - 5*x. Let g(o) = u*s(o) - 5*d(o). What is g(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2473*s - 4866*s + 2482*s as z*s + j and give z.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2 + -1 + 0 + 1 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v**2 - v**2 - 165383*v**3 + 165381*v**3 + 0*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 38404890?\nAnswer: 2, 3, 5, 19, 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 12:25 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 233382677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 79866.36844 to the nearest one hundred.\nAnswer: 79900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from qzqhnrz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -321*w**2 - 5*w - 5. Let b(v) = v + 1. Determine -5*b(i) - o(i).\nAnswer: 321*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of 7*v**6\/60 - 17*v**5\/60 - v**3 + v**2 - 41*v. Let z(p) = 4 - 3*p**3 - 2*p**3 + 6*p**2 - 2. Give -6*t(y) - 17*z(y).\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*n**3 - 192 - 10*n**3 + 340 - 195.\nAnswer: -21*n**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -15207\/19 or -800?\nAnswer: -800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 50*o**3 - 15*o**4 - 50*o**3 + (-1 + 4 - 2)*(3*o**4 - o**4 - 4*o**4) + 4*o + 4*o**4 - 4*o to r*o**4 + q*o + j*o**2 + c*o**3 + b and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2760 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 8126*f - 8126*f - 523*f**2 as l*f + a + q*f**2 and give q.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = 2*k - 5*z - 10, -z + 9 = k. Solve 2*t + 8 = -d + t, k*d + 21 = -3*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 - 8*p + 78. Calculate s(-15).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - 4*l - 16, 4*s - 4 = s + l. Suppose s = b + 33 - 5. Let h = b - -46. What is the highest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -t - 6, -5*t + 33 = 4*w. Suppose 0 = -o + 30 + 2. What is the smallest common multiple of w and (o - 0)*(-6)\/(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**2 + 10*s - 11. Let j be l(9). Let x be ((-44)\/8 - -2)*j. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2489 + 32359\/13. Sort b, -1, 26, 0.3.\nAnswer: -1, b, 0.3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/10)\/(-3*(-25)\/30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 minus -168139?\nAnswer: 168138.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 147 in -0.9, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + ((-728)\/16)\/(-13)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 76*w**3 + 5*w**2 - 18. Let q(y) = -19*y**3 - y**2 + 5. Calculate -9*q(j) - 2*u(j).\nAnswer: 19*j**3 - j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 100249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m + 14. Suppose -3*v + 35 = 8. Let a be u(v). What is the smallest value in -2, 2\/15, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10965 = -18*a + 80*a + 67*a for a.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2147, 2148, 2149?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-4))**(-2\/63)*(p\/p**4)**(10\/9) assuming p is positive.\nAnswer: p**(-202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6 - -13. Let r(p) = 4 + p + 2*p - s. What is the units digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1797422, 3594843, 5392264, 7189685, 8987106?\nAnswer: 10784527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(2\/17)*s*s)\/((s\/(s*s**(-1\/13)))\/s)*s*s\/(s**(1\/2)*s*s)*s**(-2\/5))**(-42) assuming s is positive.\nAnswer: s**(-99351\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 462285 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 171820473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wqzhzzb. Give prob of sequence hbq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - l**2 + 7 + 0*l**2 - 17 + 2*l**2.\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o + 1 + 11. Is o less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 9\/((6\/(-8))\/(((-11)\/2)\/11)). Sort h, 5, -5, -4 in decreasing order.\nAnswer: h, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 986*d + 1247*d = 777*d - 10192 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 4*w + 4*n, -3*n = 47*w - 45*w - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 13*a - 5. Let r be l(7). Let p be r\/(-4*3\/(-6)). Suppose 0 = 4*i + 3 - p. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50 + 0.133?\nAnswer: -49.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together 10.4832073 and -0.04.\nAnswer: 10.4432073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -5*h**2 + 4*h + 2 + h**3 - 3*h - 2*h. Suppose 3*k = 7*k + 32. Let r = k - -13. Give y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36 = 3*v - 4*d - 20, 0 = 4*v + 5*d - 51 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 356947254?\nAnswer: 2, 3, 29, 683807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10144918 + 0.032.\nAnswer: 10144918.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*b - 2*b - b)*(0 - 2 + 1) + 4*b - 2 + 2 + 3*b - 2*b - 2*b + b + 0*b + 0*b - 4*b - 3*b + 4*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(6)))**2 + sqrt(55)\/sqrt(176).\nAnswer: sqrt(5)\/4 + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from {l: 3, e: 1, c: 2, z: 4, r: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be -52886*-1*5\/2. Let o = g - 78215. What is o rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101211212010211 (base 3) in base 16?\nAnswer: 57f4d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 152159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**3 + i**2 + i. Let m be h(0). Let y = 2 + m. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -116? (a) -0.1 (b) 4\/3 (c) -0.6 (d) 4 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 2) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.61 + 0.06. Let x = 68.4646 + -67.91. Let d = x + f. What is d rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -3, -144, 8, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -7071*g - 21201. Let h be p(-3). Factor h + 18*j**2 + 8\/5*j**3 + 262\/5*j.\nAnswer: 2*(j + 5)*(j + 6)*(4*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4.30219 + -4.073. Round i to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 10, 16142, -1 in ascending order.\nAnswer: -1, 0, 10, 16142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/(u**1*u*u)*u)\/u*u*u*u)**(-21)*u**(-2)*u*(u*u**(-5)\/u*u)\/u assuming u is positive.\nAnswer: u**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/(-6)*((-224)\/168)\/(2\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*c**4 + 910*c**2 - 422618*c.\nAnswer: 24*c**2 + 1820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*t - 26*t = 276. Solve -t*i - 15 = -74*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 147768 and 467932?\nAnswer: 2807592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -91*y + 18*y = 2*r + 2*r + 1975, -5*r - y = 32 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*k**4 - 102*k**2 + 1062*k.\nAnswer: 24*k**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 14 - 2469*c - 3 - 3533*c. Let p be y(5). Let n be p\/(-4) + 6\/24. Round n to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -34, 718216 in decreasing order.\nAnswer: 718216, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3314607 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 30 = 2*v, 0*v - v + 3*h = 35. Let k = 64 + v. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 23\/((-897)\/143)*-1770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 23647855.9998 + -23627766. Let y = o - 20092. Let v = y - -2. What is v rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes after 1:53 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5400 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 3*z**2 + 56*z - 2558. Give v(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.09 + 0.19. Suppose -5*g = 4*k + 26, -5*k - 35 = -15. Suppose -4*v + 3 = -13. Which is the nearest to i? (a) -4 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13222 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 5*t**3 + t - 1. Suppose 2*l + 5*l = l. Let s be (-3 - (l - 3)) + 1. Let w be x(s). Sort -12, -5, w, -2 in decreasing order.\nAnswer: w, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14365 + 14367. Factor -1\/8*w**3 + 0 - 1\/2*w - 1\/2*w**j.\nAnswer: -w*(w + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49994257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 - -3)*20\/4. Is 5 a factor of 1*13 + 20\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-54) - (-106834)\/158490?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 2*d + 7 = 0, 4 - 7 = 3*g + 3*d. Let x be g\/(-3) + 1\/(-3). Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 18*q**2 - 2*q + 11. What is the tens digit of f(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - (-3 + 0 + 2 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4, -3, -12, -17, -12, 9?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwyy when four letters picked without replacement from {y: 6, w: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m + 5. Let u be l(0). Suppose v - u = -2. Suppose i + 2*r = 12, 0*r + 4*r - 30 = -5*i. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**2 - 3*c + 3. Let x be u(-3). Suppose -w + 48 = 4*w + 3*a, -a = 4. Find k such that 4*k - x*k**2 - 4*k + 3*k**3 + w*k**2 + 6*k = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 258 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15, 24, 37, 54?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 31 - -503?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the first derivative of 11*g**4\/4 - 3*g - 165. Let y(v) = -10*v**3 + 2. Let w = 91 - 94. What is w*y(t) - 2*a(t)?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 4*s**4 - 467*s**3 + 3*s**2 - 99. Let c(b) = 3*b**4 - 469*b**3 + 3*b**2 - 98. Let x(n) = 6*c(n) - 5*w(n). Find the third derivative of x(l) wrt l.\nAnswer: -48*l - 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1)\/(w\/(w*w**(-3\/8)))*w**(-8\/5)*w**(-18)\/w**16 assuming w is positive.\nAnswer: w**(-1479\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 PM and 3:27 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1632*m - 1761*m - 1290 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-2 - 0) + (-3)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*y**5 + 625*y**4 - 2585*y - 3?\nAnswer: -40*y**3 + 7500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -57*k**2 - 49 - 98*k**2 - 50*k**2 - 29 - 19*k**2 wrt k?\nAnswer: -448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d + 11. Let r be q(-5). Let u(s) = 5*s - 11. Let n(j) = j - 2. Let h(x) = r*u(x) - 33*n(x). Let o(k) = -k. Give h(o(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 211574521.\nAnswer: 211574521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v = 3*s + 11, -64317*v + 64315*v - 14*s + 34 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 0.71, -0.2, 0.3, 0.6 in descending order.\nAnswer: 0.71, 0.6, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 12:13 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j. Let x(v) = 3*v. Let s(c) = -3*c**3 - c**2 + 2*c - 1. Let r be s(2). Let f = -22 - r. Let g be 2\/f + 28\/(-6). Determine g*d(p) + x(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13748?\nAnswer: 2, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*j**4 + 1005*j**3 - 42120*j**2 - 874800*j.\nAnswer: -5*j*(j - 108)**2*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Multiply -814 and 4.\nAnswer: -3256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s + 6*s - 2*s)*(-5*s + 5*s + s) - 10*s**2 + 63*s**2 - 23*s**2.\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -73, -298, -673, -1198, -1873, -2698?\nAnswer: -3673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-36)\/(-20))\/(5\/25). Suppose 11*j + w*j = 8*j. Solve j = 3*c + 2*n - 4 - 4, 8 = 2*c + 4*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/2 + 22\/12. Let x be 24\/(-672)*-28 - 1\/1. Determine v, given that 0*v + 2\/3*v**5 + 0 + x*v**3 + 0*v**2 + o*v**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 66\/3154651 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 112\/245 - (-3 - 40\/(-14)). Which is the nearest to -1\/2? (a) 4\/3 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 17 + 3 = -2*h, -2*h + 3*f + 8 = 0. Let t be 30\/(-50) + (-9)\/30*h. Factor 8\/3 - 2\/3*j**2 + t*j.\nAnswer: -2*(j - 2)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine o, given that -3*o**2 - 34183314*o - 34183311 = 0.\nAnswer: -11394437, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + -3. Let j = 0.9 + -0.8. Let d = j - 1.1. Which is the closest to 0.1? (a) 1 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002518 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 893240.1ml to litres.\nAnswer: 893.2401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lll when three letters picked without replacement from uplullpuplullpul?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 113401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 12*t**2 - 4*t - 39. What are the prime factors of f(-5)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8225, 8240, 8267, 8306?\nAnswer: 8357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5\/4, 5, -51 in decreasing order.\nAnswer: 5, 0, -5\/4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 34295 divided by -1?\nAnswer: -34295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + 12121102?\nAnswer: 12121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 35 = 4*w. Let r = -28.4 + 31. Let l = r - 3. Which is the second biggest value? (a) w (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 6:00 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 7) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aydoygqq. Give prob of picking 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 2*r - 384. What is the remainder when r is divided by 506\/12 + 16 + 1547\/(-102)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 - 35980?\nAnswer: -35975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -5, 26, 4, -2 in decreasing order.\nAnswer: 26, 6, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + 5 + -15 + 4\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 38 + (-1 - 3) - (-3)\/3. Let o = a - 26. Solve 5*k - 27 = 3*c, o = -4*c + 5*k - 22 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {x: 1, z: 1, m: 1, h: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 27701 smaller than 55399\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**1\/c**5*((c\/c**(1\/5))\/c*c)\/c**2)\/((c*c\/c**(-1\/2))\/(c**3\/c)*(c**(-1\/4)\/c)**(-4\/9)) assuming c is positive.\nAnswer: c**(-563\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.0494 - 325.0494. Let j = 328 + b. Suppose -3*k - 25 = -8*k. What is the closest to -2\/7 in j, 8, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**3 + 11*t**2 + 5*t - 4. Let z be b(-9). Suppose 0 = 5*d - z + 13. Calculate the remainder when 57 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 155 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oonewmmwommmenmwnw. What is prob of picking 2 n and 1 m?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2921877 and 1197.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + 11 - -26) + -24 + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 1 - 2*g + 1 + 7.\nAnswer: -2*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -2*o - 3 + 17, -2 = 4*k - 5*o. Suppose k*m = -i - 374, 0*m + m + 3*i + 192 = 0. Let p = -119 - m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5111701 is divided by 899?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 + -20122101?\nAnswer: -20122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 12*f**2 + 18*f + 94. Let v be g(-4). Are v and 219 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p = -33*s + 149, 72*s + 35 = 5*p + 75*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -46*d**4 + 132*d**3 - 3313*d**2 + 9*d + 23885727.\nAnswer: -552*d**2 + 792*d - 6626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 22 = 38. Let g be (-3 + 1)*(0 + -1). Suppose -2*r - x + 19 = -h, -4*x - g = -r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 7 - -14604?\nAnswer: 14612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 199 (base 15) in base 16?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -796, -1637, -2490, -3355, -4232?\n\"Answer: -6*m**2 - 823*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 33896.15 and -852.36.\nAnswer: 33043.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4715?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from itmtttm. Give prob of picking 2 m, 1 t, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is (-140)\/(-18) + (-2)\/(-9) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*m**2 + 2*m**2 + 9*m - 9*m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1468 and 137258.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4201691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*g + 5 - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 8*r**3 + 4)*(4 - 4 + 3)*(0 - r + 0).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 + 13*d + d - 15*d + 2. Let x be h(0). Let m be x*3*29\/6. Which is smaller: m or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/14*((-3)\/4)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 313993487 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 6 = -1. Let u = f - -15. What is the smallest common multiple of (-94)\/(-10) + (-6)\/15 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 224157247?\nAnswer: 224157247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -66 + 100. Let y be 1\/6*i + -3. Factor y - 8\/3*j + 2\/3*j**2.\nAnswer: 2*(j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o**2 + 13*o - 27. Let j be b(16). Let i = -3811\/6 - -633. Find the common denominator of j\/(-14) + (-16)\/(-16) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3677.05249 minus 1.2?\nAnswer: 3675.85249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 8:07 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence drtr when four letters picked without replacement from rtytdrttyryty?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -381661\/18 - -21198. Find the common denominator of 91\/684 and l.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27685 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33052?\nAnswer: 2, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -134?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -4, 1, -0.1026, 22?\nAnswer: -0.1026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -5, -0.4, 1\/9, -107?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - 61. Let i = k + 59. Which is the nearest to 0.2? (a) -4\/7 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -453*u + 449*u = 4*m - 4, -3*u = -5*m - 35 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*t + 15 + 21. Let c be 4\/(-10) - 6138\/5. Is t\/4 - c\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 100012 (base 5) in base 10?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -770 divided by -154.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101 - -10001011100?\nAnswer: 10001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 403554, 403553, 403552, 403551, 403550, 403549?\nAnswer: 403548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 37910763*w**5 - w + 39019997 wrt w?\nAnswer: 758215260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 415.008 + -411.00802. Let q = g + -4. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vd when two letters picked without replacement from {v: 9, d: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -8*p. Let v(t) = 89*t**2 + 3*t - 122. Determine o(v(l)).\nAnswer: -712*l**2 - 24*l + 976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = 4*p - 424, 2*n + p = -2*n + 337. Let j be 4\/56*-4 - 172\/(-14). What is the highest common divisor of n and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/2576476 and 89\/988?\nAnswer: 33494188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 + 44 = 4*w. Let r(q) = w*q - 13*q + q - 19*q. Let o(a) = -3*a**2. Determine r(o(z)).\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17 - 36. Let g = y - -29. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 800 + 56*q**3 - 135 - 53*q**3.\nAnswer: 3*q**3 + 665","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/15*185\/(-2516)*-4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12*(-9)\/(-81))\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 9920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -3643, -18164, -42365, -76246, -119807, -173048?\n\"Answer: -4840*o**2 - o + 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 5983200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of -1065*k**2 + 78*k + 2607. Differentiate h(f) wrt f.\nAnswer: -2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:20 PM and 6:38 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19 - 12. Let a = c - 7. Suppose 5*g - 7 - 8 = a. Let s(w) = w - 6. Let d(b) = b - 3. Determine g*s(f) - 5*d(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -91687620 rounded to the nearest 1000000?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2199872336, 2199872335, 2199872334, 2199872333?\n\"Answer: -f + 2199872337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 108 and 408?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 455853912 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r + 51 - 51. Let m(c) = 7*c. Calculate l(m(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -2.569806 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/2)\/((-4)\/16). Let p be (2\/4)\/((-10)\/(-60)). Solve -k = -p*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 23470 - 53914 = 0. What is the greatest common divisor of 177 and n?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -1, 4, 5, 380, 0.\nAnswer: -5, -1, 0, 4, 5, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -103 or -30?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes after 10:35 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 927434 is divided by 54.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 20817*i + 1103323. Give h(-53).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**4)**50)**(2\/3) assuming b is positive.\nAnswer: b**(500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 745*p + 69328 - 61133 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 234 (b) -3\/8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (-18 - 2 - 9)*(-4 - 3 + 2)*(3*d**2 - d**2 + 3*d**2) - d**2 - 3*d**2 + 3*d**2 in the form f*d**2 + s + b*d and give f.\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 29232.14 litres in millilitres?\nAnswer: 29232140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4.3 - 0.3. Let v = 4 - g. Let k = v + 0.00000004. What is k rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*w - 208 - 212. Solve 0 = 3*h - 13*h - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 551 - 536. Calculate the remainder when w is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by -184.\nAnswer: -3\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 3*m. Let w(h) = -1161*h**2 - 2*h. What is w(x(o))?\nAnswer: -10449*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*h + 1016 + 13 = 0 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -4*t + 11, 10*t = 5*t - 2*k + 30. Let p be t\/((-3)\/(-4 + 1)). Solve 3*h = -5*f + 7 - 26, 2*f = -p*h - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/2 + (-2 - 0). Let m(g) = g**3 + 2. Is 2 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((0*g - g + 0*g)*(6 - 1 + 4) - g + 3 - 3 + 2*g - g - 2*g)*(2*g**2 + 2*g**2 + 0*g**2) as j*g + u + l*g**3 + x*g**2 and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}