{"text":"Question: List the prime factors of 0 - ((-45 - -1) + 2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*(-10)\/(3 - 1). Suppose 423 = 33*q - 237. Suppose -12 = q*u - 23*u. Solve -2*x + 4*x = -m + 2, -o*m - 2 = u*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h, -2*k - 74 = 2*h - 0*h. Is k bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*o**2 + 38*o**2 + 134*o**2 + 157*o**2.\nAnswer: 323*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 57909287*j + 20573987 wrt j?\nAnswer: 57909287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-12)\/(-5) + (-2)\/5. Sort z, -5, 1 in increasing order.\nAnswer: -5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gtnntngn. Give prob of sequence tg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the second derivative of j**4\/12 - j**3\/3 + 9*j**2\/2 + 2*j. What are the prime factors of o(-6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -495940.3 and 66190.\nAnswer: -429750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/28 and 37\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 77\/5 of a second in milliseconds?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q**2 - 22*q - 15. Let z be k(-10). Suppose z*n + 2*h + 51 = 559, 2*n - 203 = -h. Calculate the remainder when n is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*q - 9 = -k - 71*q, -k - q = 6 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1367*f + 109 - 109 - 350*f to the form h + s*f and give s.\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 40 (base 16) to base 10.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 1. Let g(t) = -t**3 - 4*t**2 - t. Let o be g(-4). Suppose -x = -4, s*x = -o*r + 4*x + 20. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/3 + (12\/(-9))\/4. Let s be (-30 + 1)*-1 - a*-1. Calculate the remainder when 1594\/s - (-6)\/(-45) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 2*n - 9. Let r be m(6). Let o = -1155 + 1148. Put o, 1, 4, r in decreasing order.\nAnswer: 4, r, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-1 + 6\/9). Suppose 5*s - 34 = 2*k, 0 = -t*s + 5*k - 2*k + 24. Let q(g) = g**3 - 7*g**2 + 7*g - 4. Let m be q(s). Solve -m*h = -h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 12 = -3*g. Suppose 639 = 5*c + 4*a, -g*c + 8*c + 2*a - 647 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z + 8 - 4. Let y = -0.2 - 0.2. Let v = -6 + 3. Which is the third smallest value? (a) z (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = -0*m + 3*m + 37, 2*m - 1 = r. Let t = r - -11. Solve t = 4*c + c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -7, 1, -4, -280, 3, 43 in decreasing order.\nAnswer: 43, 3, 1, -1, -4, -7, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -336, -371, -410, -447, -476, -491, -486?\n\"Answer: a**3 - 8*a**2 - 18*a - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z + 4*z + 0*z + (-2*z + 3*z + 0*z)*(2 - 1 - 2) - 11*z + 16*z + 12*z to the form a + m*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -8890, -11944, -14990, -18028, -21058, -24080, -27094?\n\"Answer: 4*n**2 - 3066*n - 5828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tggt when four letters picked without replacement from gttttgtgtggttt.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, o: 9, p: 1}. What is prob of sequence yp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 260772 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**2\/2 - 98290*m + 3738630.\nAnswer: -5*(m - 38)*(m + 39354)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 65387 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 70*o - 3 = -5*r + 73*o, 4*r + 42 = -5*o. Put 4044, r, 0 in descending order.\nAnswer: 4044, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 22 + -5b1298?\nAnswer: -5b1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -m**2 - 8 + m**3 + 17 - m**2 - 10 - 2*m in the form h + c*m + v*m**3 + p*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -6254 * 5\nAnswer: -31270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*x**3 + 44150*x - 22081*x - 22066*x + 2*x**3 + 8*x**2 to the form o*x + z + v*x**2 + a*x**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 26 and 7070.\nAnswer: 91910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3457.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -2 - x + 0*x + 5. Let l be f(0). Solve -5*w + 2 = -l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 21 - -6. Suppose -m - 11 = -f, -5*m + 0*f - 2*f - s = 0. Let a = 14 + m. Solve a*h = 3*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38700 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2. Let h be (-1)\/((-2)\/4*(-8)\/(-56)). Let x(o) = o + 9*o + h*o - 7*o. Calculate x(i(m)).\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 6102465 divided by -5\nAnswer: -1220493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-6)\/(-51) - (-37)\/((-42772)\/3315) and 35\/6078?\nAnswer: 12156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -b2 (base 15) to base 14.\nAnswer: -bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 69\/136 and -1\/35700.\nAnswer: 71400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s be (400\/360)\/(2\/18). Suppose -13 = -4*t + c, -4*c + s = 4*t - 2*c. Solve -4*q + 20 = 2*b, -3*b + 22 = t*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*q - 2774 = -3*q. Suppose -i + 28 = b, -i = 4*b - 9*b + q. Let x(k) = 9*k**2 + 1. Let w be x(4). Calculate the greatest common divisor of w and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 - -14.42. Let d = s - -0.42. Let y = d - 4.84. What is the smallest value in -1, y, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 1609240220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -1074 + 14. Let k = c - -373. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.444 - 1.844. Let c = 0.44 + -0.04. Let f = c + m. What is the closest to f in 1\/2, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 23, -2\/3, 10, -1, -2\/39, -37, 0.07?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -t**2 - 5*t + 17. Let q = 49 + -55. Let m be c(q). Which is bigger: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*z**3 + z**3 - 5*z**3 + (0*z**2 + 4*z**2 - 2*z**2)*(2*z + 0*z + 0*z) + 0*z + 0*z + z**3 + (-2*z + 4*z - z)*(-16 + 4*z**2 + 16).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (0 - (-2 - -3)) - (-84 + -91 + 214).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 3*r**3 - 2*r**2 + r - 5. Let v be k(4). Let p = -84 + v. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 101 = 61*f - 304 + 100 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 - 2)*(-9*o + 5*o + 6*o) - 5 - o + 5.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*q - 4*q - 16 = 2*s, 0 = -4*s - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 385, 390, 411, 454, 525, 630?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 87*r + 3. Let g be x(4). Let c = -231 + g. Suppose -5*z + h + 131 + 39 = 0, -4*z + 4*h + c = 0. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of 5*x**2\/2 - 2. Let b(s) = s**2. Calculate b(v(d)).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 41.043 + -0.043. Let z = 41 - q. Let m = 100 + -99.8. Which is the nearest to m? (a) 4 (b) z (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 31*k - 81. Suppose 6*t - 5*t - 31 = -z, -183 = -5*t + k*z. What is the least common multiple of 45 and t?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 155134768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 7476359 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from chdogdcgdc. Give prob of sequence gdgh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -6*o**2 - 5*o - 1. Determine i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s. Let t(q) be the third derivative of -547*q**4\/24 + 2504*q**2. Give t(a(p)).\nAnswer: -547*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -86, -166, -224, -248, -226, -146, 4?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 6*s**4\/7 + 2301*s**3\/7 + 3432*s**2\/7 - 2292*s\/7 = 0. Calculate s.\nAnswer: -382, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -173749 equal to -173746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 182 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9046096 is divided by 452?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -43 + 69ba2?\nAnswer: 69b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3161\/1480 - 2\/185. Let x = -22498694\/25305 + 92888\/105. Let q = -3\/964 - x. What is the common denominator of j and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5*-115\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -3*c**5 + 3*c**3 - 4*c**2. Let u = 13 + -10. Let m(j) = j**5 + j**3 - j**2. Let z(v) = u*m(v) - h(v). What is the third derivative of z(t) wrt t?\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-5)\/(0 + -5))\/((-2)\/(-10)). Suppose x - 21 = -2*i, -4*i - j*x + 55 = i. Differentiate 74*t**2 + 15 - 43*t**2 - 6 - i*t**2 wrt t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 3*z**2. Let i(o) be the third derivative of -o**5\/20 + 35*o**2. Determine i(v(j)).\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 434, 1219, 2452, 4211, 6574?\nAnswer: 9619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 - 18*t + 1079. Determine s(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (9 + 8 - 51) + 23?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -244817*b**5 + 93387*b**2 wrt b?\nAnswer: -14689020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express ((0*n + 2*n - 4*n)*(-6 + 5 + 4) - 78*n - 16*n - 15*n - n + 1 - 1 + (-1 + 0 + 0)*(-n + 0*n + 3*n))*(-1 + n + 1) in the form h + t*n + r*n**2 and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3610 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -26.2 - -25.827. Let f = -15.927 + y. What is f rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -349 = -6*u + 1031. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 + -44 + -1 + 23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -3*l - 30. Let a be r(-10). Solve a = -2*o - 2*q - 10, 3*o + 2*q + 9 + 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - 41?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -32, 5, 11, -1, -25 in ascending order.\nAnswer: -32, -25, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Solve 1130 = 160*t + 3*t + 5857 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide -30*(-6)\/(72\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 + 11. Suppose t*l + 18 = 26. Solve -14 = 5*m - 3*w, 4*m + 2 = l*m + 3*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 35120000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -5*b - 3. Let v(x) = -9*x - 5. Let n(z) = 5*j(z) - 2*v(z). Differentiate n(a) wrt a.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the second derivative of -p**3\/3 - p**2\/2 - p. Suppose 0 = -w - 1, 5*v = 3*v + 2*w - 598. Let y = 297 + v. Calculate x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6445779 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2876603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2239 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 472524311?\nAnswer: 7, 67503473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -69759 + -5?\nAnswer: -69764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -191 = -156*h - 659 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum 701042 and 0.019.\nAnswer: 701042.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 32673247 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2470 and 760?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w + 4*w. Suppose -2*p + 3*p + 3 = w. Let g = 16 + p. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 336 and 448.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of -l**8\/840 - l**7\/210 - l**6\/180 + 2*l**3\/3 + 3. Let p(h) be the third derivative of w(h). Find d such that p(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13 and 8333?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -2 + (6 - -3) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -15, -27, -53, -99, -171, -275, -417?\n\"Answer: -i**3 - i**2 - 2*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 198184 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of z**8\/280 + 17*z**7\/525 + 19*z**6\/900 - 59*z**5\/450 - 4*z**4\/45 + 4*z**3\/9 + 5*z**2 + 8*z. Determine g so that i(g) = 0.\nAnswer: -5, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*s + 109 = 49 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be -98 + 0 + (4 + 4)\/(-4). Does 5 divide (o*(3 - 4))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -555*j**3 - 449*j**3 - 104*j**3.\nAnswer: -1108*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 471 - 467. Suppose -138 = -4*g - 34. Suppose -5*s = g - 6. Which is the nearest to -2? (a) s (b) d (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -32, 0.1, -6, -18, 90?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 0*o**3 - 5*o + 4*o**2 - 6 + 18 - 2*o**3. Let a(x) = -3*x**3 + 3*x**2 - 4*x + 13. Let r(l) = -3*a(l) + 4*g(l). Is r(-8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1180.88 and -0.054.\nAnswer: 63.76752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1297, -2793, -4289?\nAnswer: -5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 44 - 80 - 2*i + 0*i - 170 - 17*i. Let u be s(-11). Solve -u*f - 19 = -5*t, 5 = -5*f - t + 4*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -2*g**2 + 85*g + 546. What is w(-7)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44102294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.4 + 1.5. Let y = -133 + 394\/3. Which is the closest to k? (a) y (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 513776422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 11*z**2 - 6*z + 6. Let s(h) = 155*h**2 - 85*h + 85. Let u = -190 - -196. What is u*s(j) - 85*t(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1606 + -1597. Let t(x) be the first derivative of -1\/2*x**4 - 10\/3*x**3 - 3*x**2 + 18*x + o. Factor t(j).\nAnswer: -2*(j - 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the value of 20111\/(-2873)*4\/(-6)*(-4)\/20?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 5*k - 81, -48 = 2*k - 4*k - p. Calculate the highest common factor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/2 + -2 + -132*(-1)\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/(-12) + 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 12*h**2 - 33*h + 34. Let u be x(2). Sort -2, u, 3.\nAnswer: -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*o + 6. Let p(h) be the first derivative of 2*h**3\/3 - h**2\/2 + 2*h - 1. Let g be p(o). Solve b + 3*b = g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and 219715107.\nAnswer: 65914532.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dmdmdmdddmydmdmdd. Give prob of sequence mdd.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 84 and 138?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 456 is divided by 124?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3822284 and 1412.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -3225*g - 67986. What is f(-21)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -13729, -26697, -38901, -50341, -61017, -70929, -80077?\n\"Answer: 382*o**2 - 14114*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/3 + 408148*c\/3 - 20823098738\/3.\nAnswer: -2*(c - 102037)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u - 30*u = 180 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3832 (base 10) to base 12\nAnswer: 2274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -197357, -197385, -197461, -197609, -197853, -198217, -198725, -199401?\nAnswer: -200269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p**2\/2 + 1045185*p\/2 + 2090346 = 0. Calculate p.\nAnswer: -348391, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = u - 304367, -5*i - 2*u + 281305 = -23064. What are the prime factors of i?\nAnswer: 3, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 923 a factor of 2199218255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -19*c - 53. Let m be l(-3). Suppose 5*s - 9*t = -11*t - 11, 5*s + m*t + 17 = 0. Are s and -1\/105 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 269369298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 + 3. Let j(x) = 4. Let o(p) = -3*j(p) + 4*k(p). Let r(v) = v**2 + 5*v. Let h(z) = z. Let m(i) = 5*h(i) - r(i). Determine o(m(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17305080 divided by -1730508.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -27*a - 13. Let k be y(-2). Let t = k + -36. Suppose t*r - 3681 + 161 = -u, 0 = -r + 4*u + 683. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**4 + 66*x**3 - 342*x**2 - 3610*x.\nAnswer: -2*x*(x - 19)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4436 is divided by 296.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -3628 (base 10) to base 8.\nAnswer: -7054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -838 (base 16) in base 9?\nAnswer: -2787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-758)\/(-1895))\/(-1*2\/(-10)*11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**3 + 0*i**2 - 165 + 3*i**2 - 2*i**2 + 163. Give r(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**18\/(c**(-2\/21)*c) assuming c is positive.\nAnswer: c**(359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/3*0*3\/(-12). Solve -2*w + w = o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-315)\/(-6))\/(42120\/(-416) + 100).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2 or -32.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 25035864 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 3*q + 5 = 0. Let d be q\/(-5)*(-45)\/36. Let h = -1 - -1.1. Which is the closest to h? (a) -1\/6 (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 51 - 41. Solve -x = -3*a - 0*x + 20, 5*a = -3*x + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 666469 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 138064 = -5*z, -5*z - 2277 = 3*u - 140323. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1450 + 2*k - 1415 - 3*k to the form y + w*k and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14 - 0. What is the remainder when (-66)\/(-14) - 4\/p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 37 (base 11) to base 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -11\/2, -9, -5 in ascending order.\nAnswer: -9, -11\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add together -3693320 and -14.\nAnswer: -3693334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -11*m**3 + 775*m**2 + 7*m. Let x(q) = -6*q**3 + 385*q**2 + 4*q. Calculate 4*k(v) - 7*x(v).\nAnswer: -2*v**3 + 405*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**6 + g**2 - 1. Let r(p) = -5*p**6 + 62*p**2 + 2. Let j(v) = -2*a(v) - r(v). What is the third derivative of j(o) wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 498569180 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 5*o**3\/2 + 8923*o**2 + 3404239*o\/2 + 340067 = 0.\nAnswer: -3367, -202, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2955 = 2*r - 3*r + 2954. Which is greater: r or 1\/5421?\nAnswer: 1\/5421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1558*j + 876*j = -270174 for j.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -345 - 29 + 12*m**3 - 14*m**3 - m + 2*m**4 + 2*m**2 in the form g*m + d*m**3 + r + i*m**2 + h*m**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 109209 and 585516.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 124210 + -5040?\nAnswer: 115130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2673 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - i + 3 = -7, 4*i - 6 = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {x: 9, f: 5}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 341 a factor of 10461539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*b**3 + 17*b**2 - 184*b**3 - 11*b**2 - 6*b**2 - 25*b**3.\nAnswer: -156*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be 21142 + 4 - 3\/6*6. Is f\/2*4\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {e: 2, h: 5, f: 2, m: 1, l: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 42 + 7. Let w(q) = 47*q**3 + 2*q + 2. Let r be w(-1). Let f = r + d. Solve -f*m = -4 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -7*f**2. Let p(m) = -4*m - 4 + 3 + 1 + 38*m. Determine w(p(i)).\nAnswer: -8092*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 20 = 4*t - 3*f, -f = -0*f + f + 3*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4899717 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 5*x - x. Suppose -x*n = 35 + 7. What are the prime factors of (-200)\/n - (-12)\/18?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 100 + -48. Let p = 185 - j. Is p\/4 - 2\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-4)\/(-24) + (482\/(-84) - -3) and -43\/291.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -133.6975 rounded to 1 decimal place?\nAnswer: -133.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z - 1. Let l(d) = 4*d**2 + 3*d + 3. Calculate 3*j(x) + l(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 572, 918, 1264, 1610, 1956, 2302?\n\"Answer: 346*l + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-3)*w)\/(w\/(w*w**(-3)*w*w)))**(-4\/9) assuming w is positive.\nAnswer: w**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 2*y**3 - 27*y**2 + 28*y + 15. Give b(12).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 11 + 23)*(0*a**5 + 0*a**5 + a**5).\nAnswer: 21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the first derivative of 2*f**3\/3 - 1. Let l(x) be the second derivative of x + 9 + 7\/2*x**3 + 0*x**2. Determine k(l(y)).\nAnswer: 882*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 4*g**2 + 1790*g. Let h(u) = -2*u. Calculate h(b(j)).\nAnswer: -8*j**2 - 3580*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-741)\/585 - (-24)\/15. What is the nearest to m in 1.2, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 34604? (a) 1 (b) -18 (c) 1\/2 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1508 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 8*t. Suppose 14*n - 16*n - 26 = 0. Let a be (n\/(-39))\/((-2)\/(-18)). Solve 0*f - 7 = 4*f - z, 5*f - a*z = t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 10*y + 300 = 0. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(176) - -5*sqrt(176)).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -4*j + 2505, 0 = -2*j - 3*b + 8*b + 1275. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -77*c**3 + c**2 + 5*c**4 + 79*c**3 + 8*c**4 + 2*c**4 as l*c**4 + b*c + n*c**3 + t*c**2 + k and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 540.6 * -19.\nAnswer: -10271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3 - 105*r**2 - 3675*r - 42875.\nAnswer: -(r + 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15.7 + -15.69999435. Round h to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooe when three letters picked without replacement from {y: 2, e: 2, o: 3, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - (-11 + -3)) + (-7 - -17) + -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f**(2\/79))\/(f\/f**(-2)))\/(f**(3\/11)\/f*f*(f*f**8*f)\/f) assuming f is positive.\nAnswer: f**(-9774\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from mnpmemwppmmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 147 - -100. Let v = m - 49. Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6349.\nAnswer: 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*r - 2. Let k be 2*(-3 + r) - -7. Let u(y) = -5 - 3*y - y - 3*y + 5*y. Let b(t) = -2*t - 4. Give k*b(l) - 4*u(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2113101310 - 100332?\nAnswer: 2113000312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of -v**4\/12 - 5*v**2\/2 + 7*v. Let x(h) = -h**2 - 1. What is g(c) - 5*x(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = -5*h + 2*c, 3*h - 4*c = -2*c + 20. Calculate the remainder when 22 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 98 (c) 0.5 (d) -2 (e) 392\/5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -13, 2, 18, -8511 in decreasing order.\nAnswer: 18, 2, -13, -8511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -13699*t - 2794558. Calculate u(-204).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.260198 minus 0.4?\nAnswer: -0.660198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -45\/15424 and -61\/76?\nAnswer: 293056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5 in -1, -114133, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/18 - (-2)\/9. Which is the closest to -0.1? (a) -1 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**2 + g + 1. Let s(a) = -a**2. Let u(b) = -2*s(b) - x(b). Let i(f) = -8208312*f + 8208312*f - f**2. What is 5*i(o) + u(o)?\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be (39\/2)\/(-4 + 83\/20). Suppose 5*j - 145 = a. Suppose -4*m + 5*t + 174 + 12 = 0, -94 = -2*m + 3*t. Calculate the greatest common factor of m and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3 - -9) + 0 + -1. Suppose -3*y + 267 = -3*u, x*y = -2*u - 65 + 510. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1\/2 (c) 3 (d) 38\/13 (e) -1\/9 (f) -19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -258 + 258.7808. What is c rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -40372*x = -40332*x + 920 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2180)\/140 - -17)\/(2\/(-14) + 2)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 102?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.8 (b) 3655 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (0\/420)\/((-2)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**2 - 2*r + 6. Let s be j(-3). Solve s = 4*n - 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**3 + 28*i**2 + 3*i - 93. What is j(28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:33 PM and 12:20 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -32.5237 - -32.42369968. Let c = h + 0.1. Round c to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 677, -4, -93, -16, 2 in decreasing order.\nAnswer: 677, 2, -4, -16, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3.8 - 2.1. Let f = r + -1.5. What is the closest to -2\/7 in -0.3, f, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 34662048*b**2 - 26504720*b?\nAnswer: 69324096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -2011 (base 11) to base 9.\nAnswer: -3601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3 + (-7)\/(399\/(-222)) + -1. Which is the nearest to -3\/4? (a) 2 (b) -3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 517732116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/10*((-425)\/(-25))\/17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -36, -35, -34?\n\"Answer: r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 6:56 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2117 is divided by 1766?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 287 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a hour in seconds?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 - 9*h**2 + 10*h + 2. Let m = 12 - 22. Let w be n(m). Which is the closest to 1? (a) 0.1 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the second derivative of 0 + 0*m**2 - m - 1\/2*m**3. Let l(s) = 12*s**2 + s**2 - 3*s**2 - 4*s**2 - 3*s**2. Calculate f(l(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -82.69592 and 0.1?\nAnswer: -8.269592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 180 by 180.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (23\/368*-12)\/(((-6)\/(-4))\/((-102)\/(-323))).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28525*u**4 - 49*u**3 + 3*u**2 + 171100244*u wrt u?\nAnswer: 342300*u**2 - 294*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 7*t**2 + 7*t + 7. Let p be z(-6). Suppose 0 = -4*m - p - 263. Let v = -64 - m. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*o = -4*y + 334, 164 = 2*y + o. Let n = y - 55. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 3*o + 735 = 0. Let i be ((-7)\/(o\/(-25)))\/(3\/9). Suppose x - 38 - 3 = i*n, -5*x + 253 = -n. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2 + 6. Let r be m(0). Let l be (-20)\/(-6)*r\/4. Suppose -l*x + 27 + 58 = 0. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21000 (base 4) in base 8?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7178377?\nAnswer: 43, 139, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 + -2. Let m = 0 - a. Let z = -0.98 - -4.98. What is the third smallest value in m, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -24 - -27. Solve -c - g*j + 14 = 0, -c + 3*c + 4*j - 22 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 0*v**2 - 4*v + 0*v**2 - v**3 + 4*v**2 + 0 - 1. Let q = -4 - -6. Suppose 4*u = 3*t - 10 - 3, -t + q = u. Determine l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3.27*-57\nAnswer: 186.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 70 and 333865?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -35 - -40. Suppose 2*x - 121 = d*k, x - 2*x = -3*k - 59. Calculate the greatest common divisor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 298*y**2 - 15*y - 3. Let m be g(-4). Suppose -5*a = 5*j - m, 0 = j - 3*a - 31 - 914. What is j rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -225 - -224.6. Which is the closest to -9? (a) -2\/9 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xn when two letters picked without replacement from {r: 1, h: 2, n: 3, j: 3, s: 1, x: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 3.6, -5, -1\/5, -3 in decreasing order.\nAnswer: 3.6, -1\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -3*i + 178. Suppose -2*h + 3*q - 129 = -5*h, -2*h - 3*q = -i. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.115 + -104.115. Let h = 133 - j. Let i = h - 238.102. Round i to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u + u = -12, 3*l + 3*u = -9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38482883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 + 2)\/((-5)\/(0 - -45)). Is 3663 - y\/(-12)*16\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 0. Let j be 0 + (y - (-15)\/(-18)). Let h = -17 - -13. Sort j, h, 1\/2 in decreasing order.\nAnswer: 1\/2, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1, 4, 5, 4?\n\"Answer: -b**2 + 6*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*u**5 + 715*u**4 + 8485*u**3 + 36770*u**2 + 46620*u + 17640 = 0. Calculate u.\nAnswer: -14, -6, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -1051519 greater than -1051519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at most -49\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -71.4 - -68.4. Let n = 0.01 + -2.01. Let u = n - -1.9. Sort a, 0.2, u in descending order.\nAnswer: 0.2, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - 7377*k - 11 = -7381*k, 5*k + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = 2*n + 1, 4*n - 43 = -4*k - 35. Which is greater: n or -1453?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of -193*z**7\/210 - 4*z**4\/3 + 2*z**3\/3 - 85*z**2. Find the second derivative of o(u) wrt u.\nAnswer: -2316*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2, 0.01418, -2\/3627?\nAnswer: -2\/3627","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 53\/(-11) + (2 - -2). Let x = q + 7\/11. What is the nearest to 4 in -4, 0.2, -0.3, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (28\/(-35))\/(1356\/(-59325))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2 (b) -0.5 (c) -5 (d) -66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1451183 + 0.9?\nAnswer: 1451183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*k - k. Suppose o = 5*o - 24. Let a be ((-6)\/27)\/(o\/3). Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 3*k - 4*a - 9520, 3*a = -2*k - 9517. Let p = k - -7041. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 3:25 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**2 + 0*w**2 + 4*w**2)*(-2*w**2 + 4*w**2 - w**2)*((4 - 2 - 1)*(14*w - 3*w - w) + w + 2*w - w).\nAnswer: 36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119)*-4*1 - sqrt(119))\/sqrt(7).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1237940047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-8) - 26\/(-8). Let j(y) = -36*y + 2*y**3 + 31*y + y**3 - 2*y**3 + 5. Let f be j(2). Solve -2*u = -l*u - f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 44173.37 nanometers?\nAnswer: 0.04417337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from ggdgdg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 281977*y = 4*i + 281975*y + 132, i + 33 = 2*y for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 140533780 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -3 > 3\/212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1\/3, -19, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 8482.109cm in millimeters?\nAnswer: 84821.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 9*l. Let s be m(7). Suppose -3*j = j - 28. What is the greatest common divisor of s and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -41, -85, -153, -257, -409, -621?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 48\/5 of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -184796 + 554390\/3. Factor m + 4\/9*g - 2\/9*g**2.\nAnswer: -2*(g - 3)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 131696701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t - 4. Let h be l(6). Let b be ((-45)\/h)\/((-12)\/(-80)). Suppose -2*k = -w + 5 + 7, 3*w = 3*k + b. Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 22 + 8. Let v be (1\/g)\/(20\/(-50)). Sort -0.8, -2, v in increasing order.\nAnswer: -2, -0.8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 - 7 - (2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 96 and 89658480.\nAnswer: 179316960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 9*c - 1. Let u be l(1). Suppose u*v = 3*v + 90. Suppose -v - 10 = -2*p. Solve -3*y = -5*r + 3*r + 11, -p = 4*y - 2*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 132901909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-15)\/3 + 3 + 35 + 1331\/(-33)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -3*s**2 - 78*s - 9. Let v be g(-25). Let h be (-414)\/v - (-13 - -6). Find b, given that -24\/11*b + h - 8\/11*b**3 - 30\/11*b**2 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 22 = 5*k, -5*q - 2*k + 29 = 5. Suppose 2*w - 10 = 0, n + q*w = 3*w + 155. Suppose 6 = -b + n. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37740950749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/7*a - 3\/7*a**3 + 0 - 3\/7*a**2 + 3\/7*a**4.\nAnswer: 3*a*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 488*f**2 + 150*f + 553. Does 39 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 341859*g - 1 + 341851*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1259 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (45*j**2 + 58*j**2 - 78*j**2 + 40*j**3)*(-2 + 1 + 2).\nAnswer: 40*j**3 + 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**3 + 4*r**2 + 5. Let z be u(4). Suppose -8 = z*o - 7*o. Let f be 4503\/(-6) + 2\/o. What is f rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/3 + 14698*g\/3 - 4718840.\nAnswer: -2*(g - 6209)*(g - 1140)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -132 + 244?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - 0. Let t(i) be the third derivative of -i**6\/30 + i**4\/24 + i**3\/6 - 16*i**2 - 2. Calculate t(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -i**4 - i + i + (-1 + 1 + 3*i**4)*(0 - 2 - 3).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 383931956 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1a26a80 (base 11) in base 10?\nAnswer: -3420637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -2 - (4 + (1 - 7) - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - 100100?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14*l**2*r**2 - 6*l**2*s - 6*l*r**2*s - l*r**2 + 3*l*r + 2*l*s - 5*r**2 - 2*r*s wrt r?\nAnswer: -28*l**2 - 12*l*s - 2*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2 - 4*n - 3. Let o be l(-2). Let q be (-75)\/10*4\/(-5). Let h be (3\/21)\/(q\/(-7)). Which is the nearest to -1? (a) h (b) -5\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, d: 14}. What is prob of picking 1 d and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*s = 262*s - 122*s - 3120 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 230 + 5?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -95*q**3 - 64*q**2 + 2. Let f(z) = 63*z**3 + 42*z**2 - 1. What is 5*a(h) + 8*f(h)?\nAnswer: 29*h**3 + 16*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -66 - -98. Suppose 4*g - u = -0*g. What is l in -7*l**4 - l**2 + g*l**4 + l**3 - 2 + 2 - l**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 817 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/28, -3, 0, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -4, -23, 142, -5, -1 in decreasing order.\nAnswer: 142, -1, -4, -5, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiq when three letters picked without replacement from {e: 2, p: 1, q: 4, i: 5, v: 2}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + 3 - 6) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of g**3\/2 - 85*g**2\/2 - 89*g. Calculate p(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/132 and -61\/128?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7485 - -7516.57. Let m = 31 - y. Let n = m - -0.07. What is the third biggest value in 1, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 24 (b) 0.01 (c) 1.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(95) - sqrt(95)*1*-6)\/(sqrt(5) + sqrt(5) + (sqrt(125) - (3*sqrt(125) + sqrt(125)))).\nAnswer: -7*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 951.04 + -951. What is the closest to d in 2, 0.5, 0.2, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -4*i**2 + 2*i + 1. Let j be x(2). Is -15 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 958578, 958579, 958580?\n\"Answer: m + 958577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 32 + 3 = 0. Suppose -5 = -2*q - s. Which is bigger: q or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 + 2*v**2 - 2*v - 33. Let a be w(0). Let t = 33 + a. Suppose 4*c + 5*r - 347 = t, 2*r = 3*c + 4*r - 262. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 122*i + 4638. Let q be d(-38). Let j = -661 - -2003\/3. Let y = j - 6. Which is the closest to -1? (a) -2\/23 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 90548 + 5.71026.\nAnswer: 90553.71026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 2*x - 790, 4*x - 8*z = -11*z + 1580. Let v = x + -373. Solve 5*p - o = -v + 2, 4 = -3*p - o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the third derivative of 0 - 1\/6*p**3 + 0*p - 1\/120*p**6 + 0*p**4 + 1\/60*p**5 + 2*p**2. Suppose 0 = 5*s - 1 - 9. Give v(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 110112222 (base 3) to base 14\nAnswer: 349a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from ggeooqzrzorzzzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 + -17467?\nAnswer: -17465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hh when two letters picked without replacement from {v: 2, t: 1, h: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(49)\/(-5*sqrt(35)\/sqrt(5))*-3 + 4) + 0.\nAnswer: -4 - 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 10 = 5*i, -5*c - 11 = 2*i - 7. Let n be 0*(c + (0 + -1)*1). Find o, given that 1\/2 + n*o - 1\/2*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 50 + 12. Suppose -3*k - 44 = -f. What is the closest to -0.1 in k, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 - 4*r + 13*r - 8*r)*(-r**3 + 399*r**2 - 1678*r**2 + 140*r**2) in the form u*r + i + d*r**2 + h*r**4 + p*r**3 and give d.\nAnswer: 6834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 13 = 12. Differentiate -t + 10 - p*t + 0*t + 3*t wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 1, 11, 0, 28, -5, -586 in decreasing order.\nAnswer: 28, 11, 1, 0, -4, -5, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 450, 1090, 1912, 2916, 4102?\nAnswer: 5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-5 + -6 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1374*-40642.\nAnswer: 5584.2108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16827246 is divided by 16827113?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(1700) - sqrt(1700)*-2*1))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1867 a factor of 1922914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -153287\/4 + 38322. Factor 0*z**2 - 1\/4*z**4 + 0*z + 0 - l*z**3.\nAnswer: -z**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.967*0.123.\nAnswer: -0.241941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -212\/3*h**3 + 178\/3*h**4 + 0 + 0*h + 80\/3*h**2 - 46\/3*h**5 = 0. Calculate h.\nAnswer: 0, 20\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 10. Suppose m = u + 2. Let l = 4 - 1. Sort -2, u, l.\nAnswer: -2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1231, 994, 757, 520?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17*(-2)\/(-17)*(-30)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-82)\/10 - (-19)\/95) + (-68)\/(-9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 4*a + 2*j - 38, -5*j + 3 = a. Let h = a - 11. Let b = 10 + h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 305*s + 3225. Let c(o) = -28*o - 293. Let n(z) = 65*c(z) + 6*w(z). Calculate the remainder when n(-23) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 218065660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve h + 20*g = 19*g, -2*h - 9 = -g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 9, r + 3*w = -0*w + 21. Let t(m) = 8 - 2*m + 0*m + 3*m + 14. Calculate the remainder when t(0) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1889129 is divided by 944560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 144429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 129 + -8 + 22 - 68\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0076705793 rounded to four dps?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46841.\nAnswer: 31, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-4)*v**5)\/(v**(-2)*v**(2\/3)*v*v) assuming v is positive.\nAnswer: v**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from znznznn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1705 + 5167\/3. What is the common denominator of (6\/7)\/((-2)\/(-15)) and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -5*h**3 - 5*h - 4. Calculate the remainder when k(-1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the second derivative of x**4\/6 - 6*x**2 - 174*x. Let w(t) = 3*t. Give p(w(u)).\nAnswer: 18*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1740 = -386*t + 380*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -52 + 57. Suppose -5*a - 5*p = -15, -5*a + 5*p + 4 = -1. Solve -b - 5 = 3*q + 3, w*b - a*q = 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -82 + 81.7. Which is the biggest value? (a) -4\/9 (b) j (c) -6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -n**6 - 24*n**5 + 7*n**3 - 3637*n**2.\nAnswer: -120*n**3 - 1440*n**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 79*v**2 + 2799*v - 4575. Determine l(-37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15.59 - 2.49. Let m = -0.1 + x. Let n = -724069\/7 - -103439. Which is the second smallest value? (a) m (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1403\/70 - -127\/7. Find the common denominator of (63\/98)\/(-1)*105\/20 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9329*g**3*n*p + 484*g**3*n - g**3*p + 2*g**3 + 1892939*g**2*p - 7*g**2 - g*n - n*p wrt g?\nAnswer: 55974*n*p + 2904*n - 6*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 82972800 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5982559*l**3*p - 3*l**3 + 1799*l**2 + l + 11 with respect to p.\nAnswer: -5982559*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 37720763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -19*g - 313. What is t(77)?\nAnswer: -1776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -23*i - 6. Let h(u) be the first derivative of 80*u**2 + 40*u + 38. Let l(t) = 3*h(t) + 20*y(t). Let o(v) = -2*v. Calculate l(o(z)).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49 - 49 - j + 67*j + 2*j.\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -458 - -467.93. Let m = -42.93 + 43. Let q = z + m. Is 0.2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + -6. Let d = -0.04 + f. Let a = -0.032 - d. What is a rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gj when two letters picked without replacement from jgjjggjjw?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(4\/5)\/(((l\/(l\/l**4))\/l)\/l)*l*l*l**8*l\/(l**(12\/5)\/l))**(4\/13) assuming l is positive.\nAnswer: l**(168\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -1\/2, -2\/5, -94\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a**3 + 72*a**2 - 4*a**3 + 34*a**2 - 400*a - 21*a**2 + 320 = 0. What is a?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9716, 19499, 29384, 39401, 49580?\nAnswer: 59951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2191451\/50 - 43827. What is the common denominator of 151\/6 and u?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7359156 divided by -3679578.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -4*w**3 + 443488*w**2 + 2217524*w + 1774032 = 0.\nAnswer: -4, -1, 110877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 30762 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 1\/77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*q + 10 = -43*q. Suppose w - q = -0. Let r be 80\/w + (-1)\/1. What is the greatest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 63 + 119. Let d = 309 + n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132 = 4*j - 6*j. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 119 and 126.470044704?\nAnswer: 7.470044704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 58 and 10643?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 1:55 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20, -46, -106, -218, -400?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 316780274.\nAnswer: 2, 19, 71, 117413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 125019.\nAnswer: 3, 29, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, s: 2, q: 1, g: 14}. What is prob of sequence lgs?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from {d: 3, t: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 835\/95 - 105*45\/525?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4019264162.523 + 1.9\nAnswer: -4019264160.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-158)\/990 - 883\/39735. What is the smallest value in n, -62, -2, 0.4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) 0.052 (c) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q + 7. Let s be v(-5). Suppose 1 = -2*b + 9. Suppose 2*i - 2*u = 16, -s*u - u = -b*i + 29. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -74 + -125?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -306808 + 306807.9399977. Let n = 0.26 + -0.2. Let o = n + c. What is o rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 - 114*v - 719. Let o be q(-6). Let b = 38 + -55. Sort 5, o, b in decreasing order.\nAnswer: 5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -546.4 and -8.805747.\nAnswer: -555.205747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -187*c**2 - 177*c**2 - 177*c**2 + 533*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 828622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -3 (c) -1\/3 (d) -0.7 (e) -2 (f) -4 (g) -2.455\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14619 or 13748?\nAnswer: 13748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 193 - 56. What is the remainder when p is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i**2 + 13*i + 20. Let p be y(-4). Solve z = -p*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 172 divide 611632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 344247.\nAnswer: 688494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2501 - -2501.7. Which is the smallest value? (a) w (b) -4 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 21*y**3 + 8*y**2 - 31*y + 61. What are the prime factors of g(6)?\nAnswer: 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 4 = 0, -5*x + 7 = -x + 5*t. Suppose 5*s + x = 2*d - 5, -4 = 3*s - d. Suppose s*c + 4*c - 20800 = 0. Round c to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-350)\/630)\/((-1)\/9). Solve -p = -5*n + 4*p + l, 0 = p + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 323 is divided by 73?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xp when two letters picked without replacement from {p: 2, x: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -43333 + 43335. Solve -2*k + 5*z + 34 = 30, -z + i = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of 0*z + 205\/6*z**3 + 194*z**2 + 0*z**6 - 4\/35*z**7 + 0*z**4 - 1\/60*z**5 + 0. Differentiate i(h) with respect to h.\nAnswer: -96*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 3*z - 90 = 0. Suppose -5*o + 382 = -4*l, 3*o + l = 174 + z. Calculate the greatest common divisor of 185 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 367162, 128 in increasing order.\nAnswer: 3, 128, 367162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22 - -25. Solve 0 = -h + 2, -y*h = -2*s + 4 - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*i**3 - i**3 + 27*i**2 - 27*i**2 + 26*i**3 + 9*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 392 - 323. Calculate the greatest common divisor of f and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 506*x + 1626 - 237 + 635 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-4 + -4) + (-28)\/(-48). What is the closest to -2\/7 in -0.5, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 9) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*c**2 + 24*c**2 - 355206*c + 118405*c + 118404*c + 118402*c.\nAnswer: 31*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 253 - 139. List the prime factors of -6 + 0 + -3 + c.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10.7 + 10.6. Let g = 1 + -0.4. Let j = g - 0.4. What is the closest to k in -3\/2, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6295549 is divided by 1789?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 68317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9484859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 11, -0.1, 0.7 in descending order.\nAnswer: 11, 0.7, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of -169*o**6\/120 - 77*o**5\/12 + 2*o**2 + 221*o. What is the third derivative of g(x) wrt x?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*a**2 + 16*a**2 + 12*a**2.\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*i + i + 0*i)*(2 - 1 + 1) - 3*i - 5 + 5 + 6*i + 0*i + 10*i to w*i + s and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 140775*w**4 - 333911 wrt w.\nAnswer: 563100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -2, 5, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1517676150.\nAnswer: 2, 3, 5, 10117841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-25*56\/30100)*3*(-3)\/3\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 3*t + 5*p + 50 = 0, 2*p = 2. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 5*c = -840. Let f = 245 + c. Calculate the highest common factor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3)\/(-9))\/((-1)\/(-9)). Let n(p) = -3*p + 4*p - p**2 + p. Let s be n(k). Sort -1, s, -4.\nAnswer: -4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 10:02 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32\/(-40) - (18\/15 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -72445, -289822, -652111, -1159312?\nAnswer: -1811425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 5*k - 9 = 31, 4*w = 4*k + 32. Suppose o - w = 9. What is the remainder when o is divided by (22 - 14) + 1 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**0*g)*g\/(g\/((g*g**(4\/11)*g)\/g)))\/(((g\/(g\/g**(-31)))\/g)\/g**(-25)) assuming g is positive.\nAnswer: g**(92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20316962891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -4*o + 21554. Let h = o + -18177. What is h rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -4*i**2 - 14*i + 28. Let v(n) = 2*n**2 + 7*n - 15. Calculate 4*r(q) + 7*v(q).\nAnswer: -2*q**2 - 7*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - 221221201102?\nAnswer: -221221201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minus -1.025?\nAnswer: 55.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -375, -376, -377?\n\"Answer: -m - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -157*-5.\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-167)\/(-14) + ((-79)\/((-316)\/(-96)))\/2.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 14796 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 82.1 - 83.1. What is the closest to 0.4 in i, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y**2 + 0*y**2 + 0*y**2 + (-1351 - 565 + 509)*(-5*y + 5*y - 2*y**2) to the form d + u*y + q*y**2 and give q.\nAnswer: 2816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -5*(-3 + ((sqrt(1372) + sqrt(28))*-6 - sqrt(28))\/(sqrt(4) - 2*sqrt(16)\/sqrt(4))).\nAnswer: -245*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (0*h + 2*h - 4*h)*(75 - 75 + 9*h) - 4*h**2 + 13 + 5*h**2 - 6 + h as f + r*h**2 + l*h and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 12548478 divided by -4\nAnswer: -6274239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, -50, 62, -5 in decreasing order.\nAnswer: 62, 7, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 178447370 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: Put -4, 12\/23, -0.2, 17 in descending order.\nAnswer: 17, 12\/23, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g - 2 - 18. Let r be ((-16)\/4 + g)\/1. Sort 1, r, 0.4 in descending order.\nAnswer: 1, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is q in -2*q**4\/11 + 670*q**3\/11 + 8378*q**2\/11 - 17038*q\/11 - 108264\/11 = 0?\nAnswer: -13, -3, 4, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -356\/5 - -70. What is the second smallest value in 1\/2, 5, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -256, -642, -1028, -1414?\nAnswer: -1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 9 - 2)*(2 + j - 2)*(-3 - 1 + 2) as s + f*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -644 + 23826\/37. Which is the third biggest value? (a) 1\/3 (b) 2 (c) 4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**3 + 2*w**2 + 2*w**2 - w - 5 - 8*w + 7*w. Is z(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -8*m**3*n - 339*m**3 - m**2 - 31*m*n**2 + 2*n**2 wrt n?\nAnswer: -8*m**3 - 62*m*n + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes after 8:52 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1343, 0, -5, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 4:59 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 2*l**3 + 26*l**2 + 3*l + 42. Let x be j(-13). Sort 2, -18, -4, x in increasing order.\nAnswer: -18, -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 52\/51 - 6\/17. Let p = -432.3 - -427.3. Put b, 5, p in decreasing order.\nAnswer: 5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 8, e: 5}. Give prob of picking 2 v.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 22*n**2 - 4*n - 17. Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15466 is divided by 7655?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add together 418635 and -11254.\nAnswer: 407381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + (sqrt(192) + 2)*5)*6 - ((-3 + sqrt(192))*2 - (sqrt(192) + sqrt(192)*3 + sqrt(192) + -4)))**2.\nAnswer: 42240*sqrt(3) + 215488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/44946 and -161\/134838.\nAnswer: 134838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/4, -5, 4\/7, 1\/2, 6\/35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 192 - 26*c - 192 in the form y + r*c and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f**2 + 6 - 27*f + 3*f**2 - 10*f**4 + f**4 + 0*f**2 + 39*f**3 - 12*f**5 = 0.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1447 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or 483829?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 45074493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/(-5))\/(4920\/(-5125)))\/((-150)\/(-72)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 187*s - 6. Let p(g) = -282*g + 9. Calculate 5*p(t) + 8*q(t).\nAnswer: 86*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -1655*i**3 - 9*i**2 + 1654*i**3 + 25*i**2 - 3*i as k*i**3 + p*i + s*i**2 + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 117 and 1075425?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 508042913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 3*v - 2*v = -10, -a + 18 = 3*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 47 + -41. Solve 0 = -x*t - 0*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13 - 16) + 574\/182?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18480 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.13 - -63.87. Let s = y + -65.2. Which is the second biggest value? (a) 5 (b) s (c) -9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(-1)*t**(-5))**(24\/7) assuming t is positive.\nAnswer: t**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 3*o**2 - 29*o + 42. Give l(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1134 and 10525725.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5813 is divided by 490?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 3381.8446 + 7116901.\nAnswer: 7120282.8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1344732642 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 0*i + 7 = i, 13 = 5*w + i. Let g(u) = -2*u**2 + 4*u**2 + 0*u**w. Let j(t) = 931 + 5*t - 931. What is j(g(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5413999581 to the power of 1\/3, to the nearest integer?\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 41 + -36. Solve z*j - 4 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001 - 1111001110101101?\nAnswer: -1111001110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 9\/4 (b) -0.02 (c) -82 (d) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**11*g\/(g**16\/g)*(g**0)**(-4\/13) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 114*z + 116*z - 229*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 360\/252 - 4\/14 - 1311\/(-966)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-155)\/650 - 79\/(-2054)) + 299\/1445?\nAnswer: 2\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 25, 79, 229, 523, 1009, 1735?\n\"Answer: 8*h**3 - 2*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2050 and 3876.\nAnswer: -7945800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 2339 divide 520705841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 257987579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 0.4, 0.1, 5, 41.9683 in decreasing order.\nAnswer: 41.9683, 5, 0.4, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6755.29595437121 + -0.3.\nAnswer: 6754.99595437121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -21.69*100780\nAnswer: -2185918.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 PM and 8:53 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the second derivative of 2\/3*f**3 - 1\/2*f**2 - 3*f + 0. What is the first derivative of u(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 8. Suppose 4*g = -b*i + 56, -2*g = -g - 5*i - 25. Solve g = -4*v - 2*k + 3, -3*v = 3*k + 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1300656003 to the nearest integer?\nAnswer: 36065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 3*n**3 + 481 - n**3 - 457 as w*n + x + y*n**2 + g*n**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5\/16, 3, -3.4, -5?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 7*o - 31*o - 38*o - 31*o. Let u(w) = -7*w. Give u(v(j)).\nAnswer: 651*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k + 10 = 4*k, -4*r + k + 70 = 0. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14011622 and 314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -11*o - 21*o - 34*o + 6*o as k + i*o and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -33909790 to the nearest 10000.\nAnswer: -33910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h + 2*t - 16, 7*h - 5*t + 1 = 4*h. Suppose -h*n - 3*d = -6, -5*n + 3*d = d - 10. Let x(a) = a + 0 - 2 + n. Determine x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 374 = -4*k, -5*k - 141 = -i - 43. Solve i*d = 70*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.244 + 0.044. Let l = n + 0.2. Let z be (-3)\/9 + 1\/(-3). What is the nearest to z in l, -3, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 702 and 9705618.\nAnswer: 29116854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -45*k**4 - 12*k**2 + 2128.\nAnswer: -180*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20.71 - 20.71001011. Round x to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 22*c**2 - 129*c + 16. Is w(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(180) + sqrt(180)*-1)**2*2 - (2 + sqrt(180) + 3*sqrt(180))**2.\nAnswer: -2884 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72\/20*1220\/8.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4\/17 (b) 3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2056*16\nAnswer: -32896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of b**3\/3 - 5*b**2 + 14*b. Let w be q(6). Let j(c) = -c**2 - w*c**2 - 3*c**2. Let k(n) = 4*n**2. Calculate j(k(p)).\nAnswer: -96*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 6*d + 4725 = -2*d + 4740, 0 = -2*f - 2*f + 2*d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i - 3*i = 5*u + 44, -20 = 3*u - 4*i. What is the units digit of u\/(-7) + (-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 10:40 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 0*a + v = -8, 3*a = 2*v + 6. Suppose a*r = -3 + 1. Let m(c) = -c**2 + 1. Let n(h) = -6*h**2 + 2*h + 4. Calculate r*n(y) + 5*m(y).\nAnswer: y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -48 - -48.3. Let j = 13 + -16. Which is the nearest to j? (a) 2 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -5061277.\nAnswer: 15183831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**8)**(-26))**(-47) assuming u is positive.\nAnswer: u**9776","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 20 = o. Suppose o = -5*l - 0*l. Let r(y) = 2*y**2 - 12. Let x(b) = 1. What is l*r(c) - 12*x(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.2+0.000252029\nAnswer: 0.200252029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 5*j + 5. Let w(q) be the third derivative of 7*q**4\/12 + 7*q**3\/3 - 5*q**2. What is -17*g(f) + 6*w(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 3 = -3*a. Let j be -2 - (-2)\/2 - a. Let s(z) = -260 + 7*z**2 + 519 - 258 - z - 6*z**2. Calculate s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**2 + 3334*h - 3. Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 283625 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (14 + 2 + (2 - 16 - -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r - 4*o + 1, 3*o + 7 = -2534*r + 2530*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79789658 - 79789658 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 402345 divided by -3?\nAnswer: -134115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 802 = 3*f + 2*p - 1215, -3*p = -6. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8819 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 41085 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -104*b*m**2 + 20282*b - 14*m**2 wrt m.\nAnswer: -208*b*m - 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -7*w - 10. Let f be r(-3). Suppose -5*k + f = -4, 0 = o + 2*k - 45. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -95*j**2*w**2 - 2*j**2*w - 81*j**2 - j*w**2 + 77*j - 85 wrt j?\nAnswer: -190*w**2 - 4*w - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -9351*l. Let r(o) be the second derivative of o**3\/3 - 918*o. Determine r(i(b)).\nAnswer: -18702*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 12*l = 84. Suppose -r - 3 = -5*w + l*w, 2*r + 2 = -2*w. What are the prime factors of (r - 205)*(-1)\/2?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 4 (b) -1\/163 (c) -0.1 (d) -3463 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of 13*b**3\/3 - 12*b. Let f(k) = 3*k**2 + 4*k**2 - 6*k**2 - 2*k**2. Determine p(f(t)).\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6700\/8375)\/(46\/5)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 38879 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -7\/13850 and 11\/41850.\nAnswer: 11592450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -3*f. Let w(g) = 660*g - 3. Determine b(w(p)).\nAnswer: -1980*p + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-52)\/30 - (-77)\/22 and (24\/14)\/(297\/(-110)).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -97100 divided by 467\nAnswer: -97100\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 2) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(8\/(-24))*6\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 899, 1010, 1121, 1232?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11 - 2031?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 302, 303, 304, 305, 306, 307?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 148 divide 58351516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29998 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 371196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 - 12. Let v be 40\/12*c\/(-10). Suppose 3*w + 43 = 4*n + n, -n - v*w = -4. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.2 or -2\/4315?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6676 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(4\/3))**(1\/41) assuming o is positive.\nAnswer: o**(4\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = 4, 5*l - c = -2*c + 3404. Let k = 717 - l. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - 8 = -d - 0*d, 5*h = -2*d + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 480 - 60. Let f = 415 - q. Let y = 856\/7 + -122. What is the second biggest value in f, y, -0.6, 4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 10) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5650842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -29*h. Let m(p) be the second derivative of 5*p**3\/2 - p**2 - 112*p + 3. Determine m(v(n)).\nAnswer: -435*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 877*f**2 + 1 - 878*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**4 + 8*g**3 + 10*g**2 + 4*g.\nAnswer: 2*g*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.207 - -0.093. Which is the second biggest value? (a) 1\/5 (b) p (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 45*h**6 + h**2 - 79 wrt h.\nAnswer: 5400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2*17\/10 + (-33)\/(-55). Suppose -3*t - 4*y + 211 = 0, 3*t - z*y + 2*y - 205 = 0. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 5, u: 13}. What is prob of picking 1 u and 1 y?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - (7 + 36\/(-6)). Sort -1\/2, 0.1, j, -3 in descending order.\nAnswer: 0.1, -1\/2, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 + 23 - -3 - (1 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 359*c - 360*c = -7 - 6, 51 = u + 4*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7b - 0?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 7*w**2 - 2*w + 8. Let n be l(7). Let s(f) = f**3 + 5*f**2 - 5*f + 4. Let h be s(n). Let j be 0\/(-1 - 0\/h). Which is smaller: 2\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -h, 4*m - 215 - 270 = -5*h. Let g(s) = s**3 - 6*s**2 + 2*s + 24. Let v be g(0). Calculate the highest common factor of v and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 187, -1 in increasing order.\nAnswer: -2, -1, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -545.356 to the nearest integer.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2018673644 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from saaaahhh.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 115.5 + -1644.5. Let h = g - -1529.000000657. Round h to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d - 4*d + 4*j - 72 = 0, -2*d + 51 = 5*j. Suppose -25 = -12*m - d*m. Solve -m = 2*p - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 0, 0.78, 5, -1 in increasing order.\nAnswer: -1, 0, 1\/4, 0.78, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + x = 17, -5*x + 22 = -3. Let r(w) = -w**2 - 6*w - 8. Give r(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 + -16.1. Let b = i + 234.1. Let z = 232.99999893 - b. What is z rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(((5 + sqrt(243) + -1)*-6 - (((sqrt(243) - (sqrt(243) - (sqrt(243) + 0)))*3 - sqrt(243)) + 0)) + 4)**2.\nAnswer: -31904 - 5760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: What is ((-251)\/((-20331)\/18090)*3\/5)\/((-2)\/1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*f - f - f + 2*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-6*(-1*(2 + (sqrt(13) + 3)**2) + 4).\nAnswer: 720 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 49265 - 28994 = -699*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w + 26. Suppose -4*d - 4*m = -12, 2*m - 3 = -1. Suppose 0*z - d*z = 0. What are the prime factors of s(z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 20*t + 11. Let m(k) = 11*k + 5. Let z(w) = -7*m(w) + 4*o(w). Let h be z(-2). Which is the second smallest value? (a) -2\/37 (b) h (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -443 and -40623583195?\nAnswer: 40623582752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2645*f**5 + 1409440*f**4 - 27976700*f**3 - 25126000*f**2 - 5520000*f = 0. What is f?\nAnswer: -552, -10\/23, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 75540 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-319)\/30 - (-9)\/27 and -49\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + 5 - d**4 + (0*d - 2*d + 0*d)*(2*d + 2*d**3 - 2*d) + 3*d**4 + 10*d**2 - 10*d**2 to the form o*d + t*d**2 + g*d**4 + v*d**3 + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0021367 rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1000.7 + 994.477. Round o to one dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -3 and -1125?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3240 is divided by 94?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2030, 3\/4, 4, -0.04, 1\/26.\nAnswer: -2030, -0.04, 1\/26, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (3 + sqrt(57)\/(sqrt(9)\/sqrt(3)*6) + 1)*-4.\nAnswer: -15 - 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together 865.5 and -75263802.\nAnswer: -75262936.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 222 = 3*n - x, 3*n + 240 = 5*x. Let u be (-3*(-6)\/27)\/((-10)\/n). Solve 0 = -g - u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1142434 divided by -31\nAnswer: -1142434\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -6*m. Let p(k) be the first derivative of -3*k**2 - 43. Give 4*p(q) - 5*x(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - 2. Let l = 8 - 6. Let d be (-2)\/2*l\/8. Put d, k, -4 in descending order.\nAnswer: k, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -377*l - 748. Determine o(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -155*x**2. Let z(l) = -4*l - 974*l**2 + 4*l + 1949*l**2 - 974*l**2. Calculate z(k(w)).\nAnswer: 24025*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 111, 2\/3, 1, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the third derivative of -o**4\/8 - 11*o**3\/6 + 331*o**2. Let x(l) = -l - 6. Give -3*d(r) + 5*x(r).\nAnswer: 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2 + 24*g - 59. Let b be h(3). Let w(r) = -r**3 + 21*r**2 + 21*r + 14. Give w(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4793 + -401a?\nAnswer: -8802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16 and 8024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7\/(14\/4) + -2. Let t be ((-3)\/6 - j)*(-3)\/(-6). What is the second biggest value in -6, -4\/7, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -718*k - 276*k - 3153*k to d*k + b and give d.\nAnswer: -4147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a = 1556 + 1234. Is 93 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2256477*m - 4512955*m + 2256483*m - 40*m**2.\nAnswer: -40*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6272 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 b = -12 + 22. Suppose 2*h - 5*t = -11, -2*h + 4*h = -2*t + b. Suppose 4*j - 22 = -h*s + 8*j, s + 2*j = -1. What is the lowest common multiple of s and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the third derivative of p**7\/15 - p**5\/20 + 56*p**3\/3 + 93*p**2. What is the first derivative of q(t) wrt t?\nAnswer: 56*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -72346953 and -1.\nAnswer: 72346953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by 53.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -193*m**4 + 98 wrt m.\nAnswer: -772*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 251680212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1661 = -343*s + 1630 - 547 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.401 - -0.4. Let v = a - -0.841. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of -g**4\/4 + g**3 - g**2\/2 - g + 5. Calculate l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 21\/(-7)*(-96 + (-2 - -2)). Suppose -u - u = -c. Suppose 0*g - 3*g - f = -u, 4*f = -12. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -621901 + 621908.80029. Let q = w - 7.8. Round q to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 74 - 70. Solve -y + j = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - 20112?\nAnswer: -20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (4 + 0 + -13)) + (-43 - 22) + 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 10054939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s + 10. Let k be o(6). Let w(m) = 3*m + 15. Let a be w(-6). Let p = k + a. What is the highest common divisor of 4 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1144 = 1069*n - 3175*n + 1053*n + 1079*n for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1927 - -1930. Solve q*w - 3*c = 0, 14*w = 16*w + c + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 464297 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*c - 3*p - 15 = 0, 0 = 4*c - p + 4*p - 6. Suppose x = c*k + 10, -1 = -4*x + 2*k + 29. Suppose 0 = -3*b - 2 - x, -5*r - 5*b = -500. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.015 - -0.058. Let i = z - 87.073. Let f = -86.99999987 - i. What is f rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -d**4\/7 - 30*d**3\/7 - 12*d**2 - 82*d\/7 - 27\/7 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 - 6*y**2 + 7*y - 7. Let r be u(5). Suppose x + 4*h - 3 = 0, -2*x = 2*h - r*h - 6. Solve v + 0*q + 1 = -q, x*v = -4*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 866.06 - 749. Let d = -118 + c. Let h = 0.939941 + d. What is h rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + q + 0)*(1 + 0 - 2) - 61*q - 76*q + 29*q + 2*q + 5*q - 5*q - q + 2 - 2 in the form f + y*q and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -442331 (base 5) to base 15\nAnswer: -482b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3*(-2)\/6*70. Let p = v - -354\/5. Let h = -1 - -1.1. What is the third smallest value in 1\/2, p, h, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -560007 greater than or equal to -560040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*c + 15 - 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -77ba1 - 97?\nAnswer: -77c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 500.06 - 500. Let g = -26 - -26.3. Let s = -43\/5 - -9. Which is the biggest value? (a) g (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/43735910 and 55\/152.\nAnswer: 174943640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 17, 35, 61, 95, 137?\n\"Answer: 4*i**2 + 6*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g**2. Let c(k) = -21*k**2. Let s(m) = -c(m) - 15*h(m). Let n(j) = 3*j. Give n(s(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26488 divided by 1204.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50059125 divided by -225.\nAnswer: -222485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -18*b + 3. Let r(z) = z**2 + 18*z - 4. Give -3*g(c) - 2*r(c).\nAnswer: -2*c**2 + 18*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*l**3 + 3 - 3 + (-5*l**2 + 3*l**2 - 3*l**2)*(6*l - 4*l + 0*l) - 3*l**3 + 5*l**3 - l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 PM and 7:45 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 85 = -477*d + 482*d, -4*k - 14*d = -68 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -120 (base 10) to base 7\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -78, -82, -84, -84, -82, -78, -72?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1 - 8 - 2*k**2 - 28*k**2 wrt k.\nAnswer: -60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2361*f = 26631 + 22950 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 64 a factor of 9152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeerr. Give prob of sequence re.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r + r + 0*r)*((-4*r + 3*r + 0*r)*(3 - 6 + 4)*(3 - 2 - 2) + 2*r - 5*r + 4*r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10730 is divided by 3560.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (1547\/(-442))\/((4\/14)\/(4\/7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04524237 rounded to 3 decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -13. Is 3 + -44*v\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -22\/2092669 and 23\/11.\nAnswer: 23019359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -67*p**3 - p**2 + 3*p - 2. Suppose 4*i + 10 = 3*x - 1, 0 = 5*x - 25. Let o be m(i). Let j = 97 + o. What is the highest common factor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 14 = w, 3*z - 16 = -w - 6. Suppose 3*n = -n + 3*d + 63, 5*d - 55 = -z*n. Let i(s) = 8*s - 4. What is the remainder when i(6) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and -4.1?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 - -53918394?\nAnswer: 53918394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express s - s - 2*s + 3*s - 2*s - 2*s + (s - 2*s + 2*s)*(-4 + 0 + 3) + 2*s + 4 - 4 in the form m + h*s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/5754 and 19?\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -597*g - 8 = -595*g. Let i = 70\/3 + -916\/39. What is the second biggest value in g, i, 3, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04 times -0.131?\nAnswer: 0.00524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 6*d + 3. Solve 5*j = -2*g - 9, 2*j - d = j + 2*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**2. Let a(s) = -8*s - 3. Determine a(d(j)).\nAnswer: 8*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*g - 37*g + 14*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**3 + 405*o**2 - 8400*o + 8000.\nAnswer: -5*(o - 40)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -6293000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (3 - (5 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/12)\/((-12)\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-3 + (sqrt(44)\/sqrt(2))\/sqrt(2)*-5)*6.\nAnswer: 108 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1134600 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 AM and 10:36 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 164471699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -22*h - 2. Let d(f) = 62*f + 10. Let g(b) = 2*d(b) + 6*n(b). Let k(o) = -3*o + 3. What is 5*g(q) - 12*k(q)?\nAnswer: -4*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16010.08995 - -16011. Round t to two decimal places.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -482196655849987\/42174 - -11433505378. Let c = 1\/781 - h. Calculate the common denominator of -71\/42 and c.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14.10000245 + 14.1. Round g to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(81)\/(1*sqrt(3)))\/sqrt(9).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*d*y**4 - 35*d*y**2 + 99*d*y + 2*d + y**2 - 6*y wrt y?\nAnswer: 72*d*y**2 - 70*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11397 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 10 = -f, -v + 2*f = -3*f - 14. Sort -2, -145, v.\nAnswer: -145, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*u - 8*u - 9*u)*(-11 + 1 + 1)*(-5*u + 2*u - u) - 7 + u**2 + 0 + u**2 - u to m + f*u**2 + s*u and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2608, 10, 1.\nAnswer: -2608, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -4 - 3*d - 2*d**3 + 2*d + 6*d**3 - 3*d**3 + 16*d**2 + 5 as w*d**2 + q + r*d**3 + h*d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 57292, -64, 5, 3, -0.6, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4d9857 + 1?\nAnswer: 4d9858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -3403 (base 6) to base 5\nAnswer: -11140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5501 + -5501.04. Which is the nearest to s? (a) 3 (b) -4 (c) -1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the second derivative of -z**7\/273 + z**6\/195 + 3*z**5\/130 - 5*z**4\/78 + 2*z**3\/39 - 7*z. Determine o, given that r(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6065 (b) -5 (c) 0.218 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nbv when three letters picked without replacement from {v: 8, b: 1, n: 2, c: 5, z: 1}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - ((-1 - -11) + -112 + 123)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 0.61 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9320944\/10 - ((-1)\/(-8) + (-58)\/80) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*d - 3073 - 2327 = 0. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 5*u - q - 1, 5*u = -3*q - 2. Factor 0*t + 0*t + 4*t**2 - 3*t**u.\nAnswer: t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 82.396665 rounded to 1 decimal place?\nAnswer: 82.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 85104 and 968058.\nAnswer: 7744464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 360 = 4*h - g + 52, 0 = h - 2*g - 77. What is the remainder when 358 is divided by h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000007584 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12\/7 - 2\/(-7). Factor -2*f + 5*f**2 + 3 - r*f**2 - 4*f**2.\nAnswer: -(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the first derivative of 0*p + 2\/3*p**3 + 3*p**2 + 298. Let y(h) = h. Calculate y(m(v)).\nAnswer: 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 + 19. Let s = t - 3. Let n = -15.9991 - s. What is n rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 4:40 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 + 6*p**2 + 6*p + 7. Suppose 5*t - 4*r + 23 = -2, 5*t = -5*r - 25. Determine y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1b0412 (base 13) in base 9?\nAnswer: 1255204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 + 26 - -15 - 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 121802 is divided by 1032?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13*141\/(-3055))\/(1\/(-50))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1661 - 4?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q - 5*q + 45. Suppose p + 26 = -q. Let o = p - -102. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2215, -2209, -2203?\nAnswer: -2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 872 by 3003.\nAnswer: 872\/3003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/4, 0, 1\/2, 1\/579, -1\/2, -5 in descending order.\nAnswer: 1\/2, 1\/4, 1\/579, 0, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -322211 - 1202?\nAnswer: -330013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1011089303 to the power of 1\/2, to the nearest integer?\nAnswer: 31798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -199, -862, -1975, -3544, -5575, -8074?\n\"Answer: -j**3 - 219*j**2 + j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 6*j + 107 = j, 0 = z + 5*j - 33. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -304*o + 23. What is the tens digit of d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j**3 - 712*j**2 = 0. Calculate j.\nAnswer: -356, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*y - y - 15. Is (-1 - 1) + (-65)\/y*9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-2))\/((-1)\/(-2)) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1650 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (40\/12 - 3)*(63 - 0). Let o = 88 + a. Calculate the remainder when o is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from {m: 4, c: 1, a: 8, x: 3, q: 1}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 - 18*d + 20. Let g be k(17). Suppose -g*n = -2*i - 495, -60 = -n - 5*i + 88. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -169\/9270 and 31\/8343?\nAnswer: 83430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67 - -67. Solve -26 = -3*s + 5*o - 7, 4*s + 3*o + 23 = u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 9514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the third derivative of 0*p**3 + 1\/30*p**5 + 0*p - 1\/168*p**8 + 1\/60*p**6 + 0 - 1\/105*p**7 - p**2 + 0*p**4. Determine m, given that h(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 4 = -4*m, -4 - 4 = 3*m + 5*k. Suppose -m*r + 55 = 4*l - 33, l - 3*r - 26 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from fbfbflleffefesece.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 28892 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**3 + 4*l**2 + 5*l - 14. Let o be x(4). Suppose 8*r - 12 = o*r. Suppose -4*f + k = r*k - 40, -f - k = -9. Sort f, -14, 4 in decreasing order.\nAnswer: f, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (i + 1 - 1)*(51*i**2 + 20*i**2 - 6*i**2).\nAnswer: 65*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 0*z + 25 = d, -d + 4*z = -31. Suppose 5*c = 180 + 265. Suppose j + 2*h - c = 0, 2*j = 2*h + 70 + 102. What is the remainder when j is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = 3*j - 1 + 8, 4*c + 4*j + 12 = 0. Solve -4*z = -w + 22, 3*w - 1 = -c*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -55 - 207 = 272*w + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 23940 and 6840?\nAnswer: 47880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 5, v: 9}. Give prob of picking 1 v and 3 t.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffy when three letters picked without replacement from ffyqyyffyyy.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16621962*w**6 + w**2 - 783462*w?\nAnswer: 1994635440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -4, 1\/67, 2\/5, 0.1, -1, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 - 124*s**2 - 4802*s - 463. Let b be w(155). Suppose 0 = -5*k + 3 + 2. Let m(r) = -r. Let f be m(5). Sort b, k, f, 7.\nAnswer: f, k, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -121 + 121 + -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*6*(-1 + (-2*1*sqrt(1216) - sqrt(1216))).\nAnswer: 30 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5576793.\nAnswer: 3, 1858931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 + 10*z + 29. What is k(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*m - 5*m - 4*m)*(0*m**3 + 0*m**3 - m**3 + (-2*m - m + 7*m)*(2*m**2 - 2*m**2 - 3*m**2)).\nAnswer: 52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64*v - 44*v - 415008 = -9*v. Round v to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -6 - 2 - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dooddoddddoddd. Give prob of sequence dddd.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -9 (b) -5 (c) -19\/210 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from iiiiiixxgniixixx?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43181949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5*1648.\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z + 653 = 773. Solve 7*a = 2*a + z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.316496ml to litres.\nAnswer: 0.002316496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1069803 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 640779199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 619 is divided by 59?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0\/(((-10)\/(-2))\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 72*h**2. Let y(c) = 6*c - 4. Let g(v) = 17*v - 11. Let f(z) = 4*g(z) - 11*y(z). Determine p(f(a)).\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 - 9*m**2 + m + 7. Determine s(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -9004*j - 900449 = -743*j for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/9)\/(c**1\/c))**(1\/21) assuming c is positive.\nAnswer: c**(-1\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 188*a - 334*a - 2*a**2 + 146*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 721 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -1. Differentiate -2 + 2*p**3 + 1 + 0*p**s with respect to p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*d**2 + 12*d**2 - 8*d**2 - 12*d - 3*d**2 + 0*d**2 + 5*d**2 + (4*d + 4*d - 3*d)*(0*d - 4*d + 2*d).\nAnswer: -11*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {f: 1, t: 1, g: 1, l: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y - 5*d + 1, -31 + 35 = 5*y + 6*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1562765982?\nAnswer: 2, 3, 617, 422141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in -20\/11, -0.1, 2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r + 4. Calculate k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of 0*d**3 + 3*d + 1\/42*d**4 + 0*d**2 + 0 - 1\/35*d**5 + 1\/105*d**6. Factor l(v).\nAnswer: 2*v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2522, -5042, -7562, -10082?\nAnswer: -12602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/796693 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u**4\/4 - 7149*u**3\/4 + 21387*u**2\/2 + 7149*u - 42786 = 0 for u.\nAnswer: -2, 2, 6, 2377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 8731 or 8730?\nAnswer: 8731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1890 and 25695?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 142\/26 + -2 + (-138)\/299. Factor 2\/11*x**2 - 4\/11*x**j + 0*x + 2\/11*x**4 + 0.\nAnswer: 2*x**2*(x - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3f58 - 5?\nAnswer: 3f53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 33406094153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**2 - 444*k - 443.\nAnswer: -(k + 1)*(k + 443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20\/3 + -7. Let j = -6 + 2. Which is the closest to u? (a) -0.5 (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w + 4. Let j(n) = 345*n + 13. What is -3*i(r) + j(r)?\nAnswer: 348*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -168 = -23*f + 10*f - 71*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 14) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 3 + -4 + -1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10314\/(-81)*6\/(-4) - 2 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 33684329.50000152 - 33684328. Let m = d - 1.5. What is m rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 639 - 657. Is 2\/4*(h - -9740) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1111 at most as big as 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 34 - 34.1. Let k = -914159.89999975 - -914160. Let q = x + k. Round q to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 65 + -50. Suppose -9*i + 4*i = -q. Suppose 5*o = 4*y - 138, i*y - o - 107 = o. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -26*z**5 - 9*z**4 - z + 1109?\nAnswer: -520*z**3 - 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 32*b**2 - 5483*b + 567153 wrt b?\nAnswer: 64*b - 5483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 + -5. Let w(b) = 10*b - 15. Let y be w(2). Calculate the highest common divisor of h and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve o**5 + 238*o**4 - 14708*o**3 + 106984*o**2 - 259136*o + 204160 = 0.\nAnswer: -290, 2, 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3725 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be -5 + 2\/2*1. Let f = -5.6 - 82.4. Let x = -87.8 - f. Which is the biggest value? (a) -3 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -58537, -58543, -58527, -58477, -58381, -58227, -58003, -57697?\n\"Answer: 2*d**3 - d**2 - 17*d - 58521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52423070?\nAnswer: 2, 5, 7, 17, 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2 + 3 - 3 + z + 1. Let a be n(1). Is a not equal to 1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -374244*3\nAnswer: -1122732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be -440 + 447 - (-1)\/((-1)\/(-1)). Solve 31 = g*w - 39*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 106, -94, -27, -4, -1, -22.\nAnswer: -94, -27, -22, -4, -2, -1, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1551933154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 571 - 549. What is the biggest value in 5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, 1, -2, -88, -1.\nAnswer: -88, -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 451442, -19, -3.\nAnswer: -19, -3, 451442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -8*j + 23. Let i = -781 - -784. Calculate v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1230374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be -7 + (-7 - -16) - -2. Suppose -3*f - 38 = -0*f - 5*y, 5*y - 54 = 4*f. Does 26 divide -26*8\/(f\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 233, -1, -51225.\nAnswer: -51225, -1, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**3 + 11*m**2 + 7*m - 5. What is the remainder when 97 is divided by r(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 32\/24*1*(-3)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 876897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -129*f + 258*f - 2*q - 25 = 124*f, -2*f + 3*q = -6*q + 31 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17891462 divided by -46714.\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2725820 rounded to the nearest 10000?\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let 43 + 44*z**2 + 6*z**3 + 140*z + 57 - 2*z**3 = 0. What is z?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-7))\/(43*(-60)\/25800).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2430111231022 - -3?\nAnswer: -2430111231014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*(-13)\/(-65)*(-5)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the second derivative of -h**3\/3 - 4*h**2 - 5*h. Let g be v(-6). Differentiate -65*k**g + 59*k**4 - 12 + 2*k**3 - 2*k**3 wrt k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00018581366 to 7 decimal places.\nAnswer: 0.0001858","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Suppose 25*z = 23*z, -786 = -f + 2*z. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**2 + 9*g - 5. What is l(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 49915\/8 + -6240. What is the closest to 1 in -1\/3, -6, w, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2655 - 55736\/21. Let r = 29023 + -1625191\/56. Find the common denominator of m and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.03, -13388, 4, -2, 3?\nAnswer: -13388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 5*b + 3 = 7, -2*i + 2 = -b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 60 = 2*c. Let x = 0 - 18. Let h = -10 - x. What is the greatest common factor of h and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2852 + -2860. Sort -2, 19, b, -5.\nAnswer: b, -5, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6 and 2298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 11201, 1\/2 in increasing order.\nAnswer: -8, 1\/2, 11201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -1\/3 (b) 0.5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -2*v + 916, 5*v - 6*v - 4*d = -452. List the prime factors of v.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2238902118.\nAnswer: 2, 3, 2081, 59771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -5, -2.38, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 14*t + 38*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 27, 53, 111, 213, 371, 597, 903, 1301?\nAnswer: 1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 8\/3 + 24\/(-36). Suppose 0 = -z*o - 2*o + 100. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30*-2033.\nAnswer: -60990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.4954 - 0.495437816. Round v to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**4 - k**3 + k**2 - k - 1. Let h(r) = -6*r**4 + 6*r**3 + 6*r**2 + 2*r + 2. Let c(f) = h(f) + 2*i(f). Let c(p) = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 3*h**3 - 130*h**2 + 879*h - 161. Calculate d(35).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/6*(-8 - -2). Suppose -3*g - 6 = r*c, -2*c + 5*g - 3*g = -4. Solve -12 = 3*j - c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of 0 - 1\/39*y**3 + 1\/130*y**5 + 2*y - 1\/78*y**4 + 1\/13*y**2. Solve x(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*d**4\/4 + 365*d**3\/4 + 100*d**2 - 15*d = 0.\nAnswer: -3, -2, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, p: 2, t: 2}. Give prob of sequence pt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 + (-4)\/((-160)\/(-88)). What is the smallest value in -2, -17, u, 2\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -37*v - 2068. Let q be h(-56). Solve -4*c + 8 = -12*k + 11*k, q*k = c - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) -5 (b) -9 (c) 2\/457 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 - -20. Suppose -k*z = -7*z + 76. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 38*n**3 + n**2 - 44098*n + 66678416 wrt n?\nAnswer: 114*n**2 + 2*n - 44098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16 + 23. Let x be -3 - -1*(12 - 3). Let p = 10 - x. Solve p*u + 5 = -l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 3) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -1016 by -3.\nAnswer: 1016\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7924 and 1176?\nAnswer: 332808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6017 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of 5*k**5\/12 - k**4\/24 - 5*k**2. Let l be w(1). Let b be ((-16)\/l)\/(8\/(-3)). What is the nearest to b in 0.3, 0, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 2*z**3 - 54*z**2 + 44*z + 19. Let c be m(26). Let p = -188 - c. Solve 2*o + 1 = -3*g - p, g = -5*o - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -180 + 639. Suppose 6*h - u = 3*h. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 c when three letters picked without replacement from ixcczbcdcxizbbd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2. Let k be 80\/(-32)*(-1)\/(-5)*4. Let s(a) = 9*a. Let n(w) = 110*w. Let b(t) = k*n(t) + 25*s(t). Calculate b(q(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 244\/357 - 2\/119. Let f = -3 + 2. Which is the second smallest value? (a) -4 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 2*n - 24. Let d = -4212 + 4211. Let u(k) = 1. What is d*j(r) - u(r)?\nAnswer: -2*r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 50? (a) 1\/3 (b) -1\/30 (c) -2\/79 (d) 2\/13 (e) -17 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 102 = -u, -4*u + 161 = -5*c - 262. Calculate the greatest common divisor of 364 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 2*v + 426*v**2 - 427*v**2 - 2*v + 4*v - 4. Let u be 2 - -1*(0 + 3). Let n = u - 1. Give g(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 9, h: 11}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**3 - 6*g**2 + 10*g - 3. Suppose -19 + 13 = m. Let z be w(m). Let o be (-7)\/(z\/(-6)) - 42\/(-9). Solve -8 = -5*f - 3*h, -4*h = -f + h - o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 3 = -4. Which is the nearest to f? (a) 1\/2 (b) -1\/4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -58*r + 7. Let n be w(4). Let f = n - -223. Which is the closest to f? (a) 0.9 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/6 - 26\/6. Let r = 0 - c. Calculate the remainder when 9 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4431 - 4311. Solve 121*g = c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/2*3\/3*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -150\/7*d**2 - 27\/7 - 90\/7*d**3 - 15*d + 3\/7*d**5 - 15\/7*d**4.\nAnswer: 3*(d - 9)*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**2 - 11*g - 1. Calculate x(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/88 and -91\/66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 d, 1 j, and 1 k when four letters picked without replacement from {f: 1, j: 1, k: 1, d: 1, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = 55233 - 55468.03. Let q = y + 235. What is the closest to q in -1, -1\/7, -2\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**0*g)\/g**0)\/(g**(1\/10)\/(g**(1\/4)*g)) assuming g is positive.\nAnswer: g**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is m in 3*m**2 + 204*m + 3468 = 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 12\/11, 1, 82, -0.4, -7, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qq when two letters picked without replacement from {d: 1, e: 4, o: 4, r: 4, j: 4, q: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 4*t - 28, 3*p - 18 = p - 2*t. Calculate the remainder when 7 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 35035\/(-132) - (-6)\/9. Let t = u - -183215\/692. Is 0 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -6*l. Suppose y - 2*a - 411 = l, 2*y - 4*a - 830 = -2*a. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 5511 = -3*c, 5*c - v - 3673 = 5489. List the prime factors of c.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 711336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1768.5 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 184 divided by -19122.\nAnswer: -92\/9561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -4*f + 2*f + 2*f - 2*f**2. Let s(c) = -16*c**2 - 2*c**2 + 7*c**2 - 3*c**2. Determine k(s(v)).\nAnswer: -392*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0\/((3 + 1)\/(-2)). Let p = o - 2. List the prime factors of p\/(-6) + (-190)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (29 - -1) + -11 - -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 14 = 29. What is the smallest common multiple of 4 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*x - 11*x = 1140. Let r = -247 - x. Which is the second biggest value? (a) -2\/7 (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of i**7\/2100 + i**6\/180 + 2*i**5\/75 + i**4\/15 - 7*i**3\/6 + 8*i**2. Let d(n) be the first derivative of h(n). Factor d(g).\nAnswer: 2*(g + 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 12 - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 e, 1 b, and 1 s when four letters picked without replacement from eeebuuse.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 240261, -0.5, 1\/3 in descending order.\nAnswer: 240261, 1\/2, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 934 - 934.048. What is the second smallest value in 2\/7, 2, z, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 84.8 + -6\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - (-2)\/2*1. Let f = -6 + z. Let g(d) = d - 2. Let p be g(3). Sort -6, p, f in descending order.\nAnswer: p, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7297464 and 13356.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fmfccffmfcccfcccmcm. What is prob of picking 2 m and 1 f?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 7) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**20\/m)\/m*m)\/m**12*m\/(m*m\/m**(3\/22))*m**(5\/7)\/m assuming m is positive.\nAnswer: m**(901\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 14\/10 + 3\/5. Let z(s) = 0 + 0*s**d - 3*s**2 - 2 + 1. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 677303484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4*v + 16 = 0, -2*n - 5*v - 20 = -n. Suppose n = -d + 5, 6*y - y + d + 145 = 0. What is the units digit of 30\/(-9)*504\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -391.7*-46329\nAnswer: 18147069.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 265359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -28 - -27.5. Let t be (((-18)\/(-4))\/(-1))\/3. Which is the fourth biggest value? (a) 4\/3 (b) t (c) s (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1183*a**2*k*z - 57*a**2*k - 269*a**2*p + k*p - 2*p*z wrt z.\nAnswer: -1183*a**2*k - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -10*v - 5. Let r(a) = -12*a - 8. Let g(y) = -y - 1. Let k(w) = 3*g(w) - r(w). Let j(c) = 5*k(c) + 4*m(c). Differentiate j(p) with respect to p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fssx when four letters picked without replacement from {x: 1, f: 3, s: 2, i: 1, g: 3, d: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -40 - -1 - (-18 + -26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b + 2*g - 8, -8*g = -3*b - 3*g + 6. What is the second derivative of 47 - 26*r**5 - 6*r + b*r**2 - 27 - 19 wrt r?\nAnswer: -520*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 31\/(-93)*4\/(-2). Let z = -13 - -8. What is the nearest to -11 in z, -3\/7, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19781331 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 65 (base 13) to base 9.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 118806 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 570 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 46*g**3 - 5*g - 9. Let d(m) = -23*m**3 + 3*m + 5. Determine -5*d(p) - 3*o(p).\nAnswer: -23*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 418\/(-77) + (-390311)\/(-72303).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1002, -1894, -2802, -3732, -4690, -5682, -6714, -7792?\n\"Answer: -y**3 - 2*y**2 - 879*y - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 4:49 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 833699632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -3*c + 38. Solve -6*f = x - 2*f + 18, x - 5*f = c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 175011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -7399, -15050, -22701?\n\"Answer: -7651*r + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -15701580 divided by 3?\nAnswer: -5233860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 1048*b + 53436. Give w(-51).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 5 + (0 + -2 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 16, 820\/13 in decreasing order.\nAnswer: 820\/13, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -1 + 40 + 12*m + 60*m + 56 + 13. What are the prime factors of f(11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a - 2. Let c be z(0). Suppose 9*n - 11*n - 10 = 0. Let q = c - n. Let g(x) = -x**3 + 4*x**2. Give g(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nzn when three letters picked without replacement from zznznzzznn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 19 times -0.0332?\nAnswer: -0.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51587 and 45267.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + g - 10 = 0, -3*p + 51*g + 50 = 44*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) 5 (c) 871\/20 (d) 3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11, 0, -27, -76, -153, -264, -415, -612?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract -6343 from -30757.834637.\nAnswer: -24414.834637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 1737\/8*s**2 + 0 + 3\/8*s**5 - 717\/8*s**3 + 1053\/4*s - 345\/8*s**4 = 0.\nAnswer: -3, -1, 0, 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - -11. Let g = 10.6 - w. What is the closest to -0.1 in 0.4, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 21 = -0*a. Let k(w) = -w**3 + 8*w**2 - 6*w - 4. Let u be k(a). Suppose 4*o = -u*i + 39, -2*i - 5*o + 33 = -0. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 7976739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 1119 + 67. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**1\/(t\/(t**(-26\/5)\/t)))**(-10) assuming t is positive.\nAnswer: t**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 108, 236, 372, 516, 668, 828?\n\"Answer: 4*p**2 + 116*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the second derivative of -k**5\/15 + k**3\/3 - 3*k**2\/2 + 7*k. Let s(h) be the first derivative of u(h). Find the first derivative of s(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 10:14 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 205297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 725\/(-200) - 1*4 and -19\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 33 - 21. Suppose t = 0, t - 177 - 63 = -5*j. What is the greatest common factor of j and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2325157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * -1105.5.\nAnswer: 3316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/4059 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 17589544, -0.3, 4 in decreasing order.\nAnswer: 17589544, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) be the first derivative of -y**2\/2 - 82. Let h(n) = 18*n + 9. Let k(l) = -9*l - 4. Let q(f) = 4*h(f) + 9*k(f). What is -4*g(a) + q(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1137 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/((y**7*y*y*y)\/y)*y*y\/((y**(-2)*y)\/y)*y\/y**(5\/2)*y**(-8))**5 assuming y is positive.\nAnswer: y**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5742793 is divided by 60.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4376011*w**4 - 2086153 wrt w?\nAnswer: 17504044*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 + 3523*n + 17682. Give r(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000002216358 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99*k = -108*k + 27. Solve -3*h + 12 = 2*u - 1, -k*u - 3*h + 18 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -3 + g**3 + 3*g - g + 3*g - g. What is c(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -6c66c (base 15) to base 6\nAnswer: -11224250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11 + -23. Let p be 54\/v*(-16)\/6. Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 42909\/10 + -4296. What is the common denominator of b and -37\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6887 to the nearest 100.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 18005131121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 14946*x**6 - 11*x**3 + 613*x**2 - 7472*x**6 - 7476*x**6 wrt x.\nAnswer: -240*x**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 13, -3140, -4 in ascending order.\nAnswer: -3140, -4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 + 16*m**2 + 12*m - 10. Let v be y(-15). Let q = v + 71. Is q a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -5 (b) 66 (c) 19 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 174, 180, 196, 228, 282?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/(-5))\/((-41)\/(-18450)). Let d be ((-3)\/(-2))\/(-3) + r\/(-72). Solve 1 = 4*j + 4*m - 3, -d = -2*j + 4*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 779214011?\nAnswer: 5021, 155191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1223 + -21.5.\nAnswer: -1244.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 2 - (1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*s - 7*s + 200 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -1142*r - 6301*r + 15108*r + 45223*r + 20. Let b be c(13). Let v = 298564 - b. What is v rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30 (base 11) to base 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -5\/5788, -0.027 in decreasing order.\nAnswer: 3, -5\/5788, -0.027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the third derivative of -3*t + 3*t**2 + 0 - 14\/3*t**4 + 1\/15*t**5 + 392\/3*t**3. Factor r(n).\nAnswer: 4*(n - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 (base 13) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 3 + (-1 + 4 - 4)*(-1 + 4 - 2) - 2 + 6 + 0)*(11*y - 8*y - 9*y)*(-2 - 1 + 2).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 + 23 - (28 + -19)) + -124 + -2.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1282800 = 10*i + 14*i. Round i to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 223871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the second derivative of -11*p**3\/6 + 5*p**2\/2 + 2*p. Let l = 23 - 15. What is the smallest common multiple of l and v(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -23 - -37. What is the remainder when 39 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -443*o - 50. Let l be n(-6). Determine p so that 2598*p - l*p + 0*p**2 - 5*p**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 + 13158*i + 26304.\nAnswer: 3*(i + 2)*(i + 4384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18446 is divided by 1346.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -678 = -4*x + x + 3*l, 4*l + 1125 = 5*x. Round x to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -320, 28, -5 in decreasing order.\nAnswer: 28, -5, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be (120\/(-70))\/((-2)\/21). Let u be 5 - 0 - (-1)\/1. What is the highest common divisor of u and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 694283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 928372*n**5 + 7*n - 45530 wrt n?\nAnswer: 18567440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (65*t + 18*t - 701 + 18*t - 116*t)*(t**2 - t**2 - 3*t**3).\nAnswer: 45*t**4 + 2103*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 6, -2965, -0.138, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3 + 2420*g**2 + 739256*g + 4348848.\nAnswer: 2*(g + 6)*(g + 602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 46540039.5 and 22.5?\nAnswer: 46540017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 6*u - 60. Let z = u + -13. Let w = z + -70. Is -23 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 165\/(-35) + (-10)\/(-14) - 12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 645252*-14.\nAnswer: -9033528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21334 - -25622. Calculate the smallest common multiple of c and 1608.\nAnswer: 12864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -747\/707 + 15\/14. Let n = -10317\/1010 + u. Find the common denominator of -28\/15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, f: 1, k: 4}. Give prob of sequence fkk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -z - 8*r + 3*r, 0 = 5*z - 3*r - 28. Let q = 48 - 2. Which is the third smallest value? (a) -2 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 728*b**6 - 2*b**3 - 2*b**2 - 27789*b?\nAnswer: 87360*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001285756 to six dps.\nAnswer: 0.001286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 58 and 29261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9510244137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7417411\/631 - 11755. Is -1 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 36 + -35.5. Which is the closest to 0.3? (a) k (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**2 - 1. Let h = -9 + 6. Suppose 5 = -5*n + 10. Let l(b) = 2*b**2 - 5 + b + 0*b - b**2 + 1. Determine h*p(j) + n*l(j).\nAnswer: -2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**2\/7 + 1203584*o\/7 + 39713916\/7.\nAnswer: 4*(o + 33)*(o + 300863)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 200180909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00015351795 rounded to six dps?\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 3 - (1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 864*a + 15551. Calculate u(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 3 - b**3 + 3 + 8 to z*b + y*b**3 + g + w*b**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 40, 20, -42, -146?\n\"Answer: -21*m**2 + 43*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 - -6. Let y be (-4)\/s + (-106)\/(-6). Let r = -9 + y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39 - 69 = -3*d. Suppose -2*c - d = 5*r - 109, 144 = 3*c - 4*r. What is the greatest common factor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q + q + 10. Suppose -q*c = -6*c + 10. Let p be (16\/10)\/(4\/c). What is the greatest common divisor of p and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -4165 (c) -0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 j, and 2 e when four letters picked without replacement from eejjoojo?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 1.7, -3\/2, -2\/19683?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 27*f + 571 = -30*f, 4*f + 4 = 0. Calculate the highest common divisor of l and 781.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ruur when four letters picked without replacement from rrurruuururrrrrrrrr?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 AM and 1:03 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -6*h + 3. Let r be -1 - (-10)\/h - -1. Is 4\/r - (-1899)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + i - 18 = 0. Which is smaller: i or 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 41 = 3*m - s, -3*m - 3*s = -39. Calculate the remainder when 373 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 40826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -67\/60 and 73\/13042884.\nAnswer: 65214420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 5*o + 52, 2*h = o + 10 + 10. Solve -5*q + 2*t - 20 = h, 0 = -5*q - 5*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2. Let y(i) be the first derivative of i**5\/120 + 4*i**3 - 2*i - 52. Let x(u) be the third derivative of y(u). What is x(w(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -49*v**5\/2 + 119*v**4\/2 + 138*v**3 - 232*v**2 - 160*v - 24 = 0.\nAnswer: -2, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i*i*i**(-3))\/i)\/(i*(i**(-6\/7)*i*i)\/i*i))\/((i\/((i\/(i*i**1))\/i))\/i)**(3\/10))**(-2\/51) assuming i is positive.\nAnswer: i**(332\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 333698 is divided by 190?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 332 divide 193267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 11a9 - -1d?\nAnswer: 11c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 267, 534, 801, 1068?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Add together 977.1708 and -231169.\nAnswer: -230191.8292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 582, 578, 574, 570, 566, 562?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 44 - 67. Let x = y - -23.2. Let w = x - 0.1. Which is the closest to w? (a) -1\/6 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + 16 + -12 - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sg when two letters picked without replacement from hghonsn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 34562277011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -155445 (base 6) in base 3?\nAnswer: -210021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 - -12. Let j = k + -3. Find the third derivative of 2*q - 2*q + 2*q**2 + q**j - 5*q**2 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 73125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 1003*k - 8415 = 1004*k, -4*s + 16831 = -k. Is s a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cuucznznzzuzcuuzzcc. What is prob of sequence un?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -2930453 (base 12) in base 10?\nAnswer: -8274303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2706337211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (32\/(-1))\/(1\/(-2)). Suppose -2*r + z = 5*s + r, 64 = 4*s - 4*r. Let d(l) = 2*l**2 - 17*l + 3. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-6) + 68\/6. Let o = -6 + x. Let s be ((-24)\/(-162))\/(12\/(-9)). Which is the fourth smallest value? (a) o (b) -2\/13 (c) 0.5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -22024550 + 4?\nAnswer: -22024545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1175 = -0*n + 8*n + 17*n. What is the nearest to 0.1 in 0.5, -2\/17, n?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6105764 to the nearest integer?\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -16321*i - 8001*i + 2405*i - 5532*i as v*i + d and give v.\nAnswer: -27449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 257*c + 586. What are the prime factors of q(145)?\nAnswer: 3, 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 439565 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*1\/(-2)*21\/15.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -9) + -41 + 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 291467 a multiple of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -2*r**2 - 5*r + 1. Let m(s) be the third derivative of -s**5\/60 - s**4\/6 + s**3\/6 - 25*s**2 + 7. Give 3*m(b) - 2*v(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -27 (base 16) to base 8\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + -4767061?\nAnswer: -4767055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3493 and 18463.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 156121483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 134 a factor of 447292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5\/((-5)\/4)*(-14)\/(-420). What is the smallest value in 62, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.4, -1046, -2\/9, 0.1, 5, -276?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(384))\/((sqrt(2) - sqrt(2)*-2*6) + sqrt(2)))\/((sqrt(120) + (-1*(sqrt(120)*2 + sqrt(120) - sqrt(120)) - sqrt(120)) + sqrt(120))\/sqrt(5)).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k. Let b be 5 - (-3)\/6*-2. Suppose b = -i + 5*n - 16, -2*i + 4*n = 16. Let q(c) = i*c + 2*c - 6*c + 2*c. Give q(d(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43, 35, 21, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*f**4 - 190*f**3 - 17*f - 67 - 189 + 15*f wrt f.\nAnswer: -24*f**2 - 1140*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that -150*v**4\/7 - 7166*v**3\/7 + 9882*v**2\/7 + 42230*v\/7 - 1428 = 0.\nAnswer: -49, -2, 17\/75, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -14*x**2 - 8*x - 8. Suppose 12 = -h + 20. Let j(b) = -9*b**2 - 5*b - 5. Calculate h*j(f) - 5*z(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 21352384891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/((-1377)\/306782) - (-1)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 j when three letters picked without replacement from {x: 6, z: 2, w: 6, j: 3, r: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2903*c*m**2*v + 2*c*m**2 - 3*c*m - 3*m**2*v + 58402*m*v wrt m.\nAnswer: -5806*c*v + 4*c - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10 - -14.1. Let m = p + -1.1. Which is the biggest value? (a) m (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 79129 and 106?\nAnswer: 158258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 55\/188 + -2\/47. Let o = 67 - 66. Which is the closest to q? (a) o (b) 2\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*o = 29 - 1, -3*o = -3*g + 18. What is the greatest common factor of 70 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -1, 5*t + 19 = 3*n - 18. What are the prime factors of ((-1686)\/t)\/((-27)\/(-72))?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.32*2.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s + 12. Let r be i(-7). Let b = 14 + r. Solve b = m + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 3*w - 21. Let y(q) = -q + 6. Let x(d) = -5*h(d) - 18*y(d). List the prime factors of x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 92 = 4*t, 5*r - 166 = 3*t - 32. Suppose 0 = -10*k + 3*k + r. Let w = 0 - 2. Put w, 5, k in decreasing order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cfbb when four letters picked without replacement from {w: 2, b: 12, m: 1, f: 2, c: 3}?\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 6*t**5 - 3429*t**4 - 47439*t**3 + 31431*t**2 + 93141*t - 73710 = 0. Calculate t.\nAnswer: -14, -3\/2, 1, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 128\/(-352)*(-45)\/(-6)*((-54)\/60)\/3.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 87 = -4*j - 15*b, -133*j + 5*b = -129*j - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*t = 794 - 650 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3\/3 - 302*h**2\/3 + 608*h\/3.\nAnswer: -h*(h - 2)*(h + 304)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 + 4*m + 2. Let f be p(5). Let i(c) = 9*c**2 + 4*c - 6. Let z(v) = -10*v**2 - 4*v + 7. Let l(w) = 7*i(w) + 6*z(w). Is l(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0, -0.5, 21, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 64 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 76*c**4 + 9. Let j(b) = b**4 + 2. Let g(f) = -4*j(f) + r(f). What is the first derivative of g(p) wrt p?\nAnswer: 288*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*l = 2*p + 76, 3*p - 249*l + 254*l = 33 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**2 + 9*h - 11. Let v be r(9). Which is bigger: v or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 2*s**2\/3 + 80*s + 2400 = 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.46 - -0.63. Let m = -0.17 + q. Put -3\/4, -0.3, m in decreasing order.\nAnswer: -0.3, -3\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -12*l. Let z(o) = 86*o**2 + 2. Determine z(r(d)).\nAnswer: 12384*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, t: 1, h: 2, q: 8, l: 7}. What is prob of picking 2 l?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 4*m + 32, g + 1 = -3*g - 5*m. Let j be ((-81)\/g - 4)*-2. Let s = 203 + -198. What is the greatest common factor of j and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of d**8\/1344 - d**7\/1680 - d**6\/480 + d**5\/480 - 20*d**2. Solve s(m) = 0 for m.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 34954 from -2.\nAnswer: -34956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = -398\/3 - -9160\/69. Do -1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 126510 and 102?\nAnswer: 2150670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -80550, -80558, -80568, -80580, -80594?\n\"Answer: -z**2 - 5*z - 80544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ceucesdddd. Give prob of sequence ded.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 789, 1491, 2179, 2853, 3513, 4159, 4791?\n\"Answer: -7*b**2 + 723*b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of -q**3\/3 - q**2 - 2*q + 12. Let d be x(-2). What is the tens digit of (-24 + d)*-9 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 58\/2223 and 6*(-1)\/8 - (-2116)\/2736.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4\/2 + -1)*(-2 + -3). Suppose -4*n + c - 4 = 0, 2*c + 4 = 2*n - 0*c. Sort n, v, -4 in decreasing order.\nAnswer: n, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/120 and -3\/2410?\nAnswer: 28920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 295675 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 51840 - 24430. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 10, u: 1, a: 1, x: 1}. Give prob of sequence ax.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (((-2)\/8)\/(60\/70))\/(11\/(-44))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 109 + -257. Let k = -149 - f. Let s be ((-5)\/30)\/((-2)\/16). Which is the biggest value? (a) 0 (b) k (c) -2\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 829994.3 weeks?\nAnswer: 8366342544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 60 + 1. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -4*j - 123, 2*r - j + 45 = -4*j. Let l = 30 + r. Find the third derivative of 3*c**3 - 8*c**2 + 4*c**l + 3*c**3 + 2*c**3 wrt c.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f = -12*f + 309. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-5)*1)\/(90\/(-25))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 161*j**3 - 21*j**2 - 21*j. Let k(c) = -16*c**3 + 2*c**2 + 2*c. What is 21*k(f) + 2*u(f)?\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 53005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -214, -426, -640, -856, -1074, -1294, -1516?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3*u**2 - 3*u**2 + 2208*u**3 - 2*u - 2145*u**3 - 4*u**2 in the form o*u + n*u**2 + a + k*u**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -8*i**2 + 213*i - 36. List the prime factors of k(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - -10022021022122?\nAnswer: 10022021022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 192*f - 193*f + 24. What is the highest common divisor of 2136 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -25\/1326 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-14)\/4)\/(7\/14). Let q = 7 - 19. Let k = q - a. Let w(g) = -g**3 - 6*g**2 - 4*g - 4. Calculate w(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1507.932057 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - (0 + -23)*-11. Let g = n + 473. Let z = g - 71. Round z to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*f = 4*f + 28. Suppose f*l - 47 + 23 = 0. List the prime factors of 1488\/l + (-4)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in 2\/13, 0.08, 0, -21\/7187?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 19*i**3 + 1693*i**2 - 54*i + 14. Let n(o) = 15*o**3 + 1352*o**2 - 43*o + 11. Calculate 14*n(z) - 11*u(z).\nAnswer: z**3 + 305*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -372*u + 3035 with respect to u.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 95 and 855.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -4*i**2 + 8*i - 1 + 3*i**2 - 4*i. Let g(w) = w**2 - 7*w - 4. Let c be g(8). What is u(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21551759 is divided by 185?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 1 + -3 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 - 16*y + 2 - 2)*(36*y**2 - 626*y + 626*y) to the form t*y**3 + x*y**2 + c + g*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of d**5\/60 - d**4\/8 + d**3\/6 + 424*d**2 + 2*d. Suppose -8 = 2*a - 6*a. Let o be j(a). Which is greater: o or -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3958745501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -2. Let u(x) = -1. Let a(o) = -o + 1. Let p(j) = 2*j - 5. Let l(s) = -4*a(s) - p(s). Calculate n*l(t) + 2*u(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.4 - -0.5. Let s = -0.16 + z. Which is bigger: s or -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1718 - -1743. Let j be 1 + ((-140)\/(-6) - 0). Let t = j - r. Sort 4\/21, 3, t.\nAnswer: t, 4\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 162 + -84. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -119\/216 and ((6*4\/(-32))\/(-27))\/((-9)\/150)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of 60*b**2 - 100*b - 122. Let q be r(2). Calculate the highest common factor of 224 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 + 9*v**2 - 7*v - 5. Suppose u - 9 + 1 = 0. Let x be t(u). Differentiate x*l + 3 - l + 4*l - 3*l with respect to l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -15075 from 13.7673361.\nAnswer: 15088.7673361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -2*x**2. Let l(r) = -13401*r. Give c(l(v)).\nAnswer: -359173602*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -39 - -43. Suppose 5*s - 2 = -3*x - 1, -8 = -p*s. Let l be (5 - (x - -4) - 2)*2. Solve 0 = -j - 3*g - 16, 0*j + 3*g + l = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -248, -340, -484, -680, -928, -1228?\n\"Answer: -26*f**2 - 14*f - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/5 (c) 1\/6 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -485383, -970853, -1456329, -1941811, -2427299?\nAnswer: -2912793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 164755 to the power of 1\/2, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 3132*(-2 + (-10 - -16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 108 (base 11) to base 14\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of -u**5\/90 + u**4\/4 + 107*u**2. Factor m(p).\nAnswer: -2*p*(p - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 526 + 28?\nAnswer: 54e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -368*j + 28180. Give h(79).\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24062 = -3*z - 4*o, 42*z = 46*z - o - 32108. List the prime factors of z.\nAnswer: 2, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13088 - 13087. Let f = -9 - -4. Which is the second biggest value? (a) -2\/15 (b) -1\/2 (c) f (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (13 + -8 + 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4165661 + -43?\nAnswer: -4165714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*g - 1, r - 3*g - 22 = 0. Let l = r + -20. Solve l*h - 5 = 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -35, 3, 5, -5, -4, -3, -1445 in ascending order.\nAnswer: -1445, -35, -5, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3238?\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.2089324 microseconds to hours.\nAnswer: 0.000000002280259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -87 + 73 - (7 + -12 - -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 3\/14 - 56021\/(-5194).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-81)\/(-297))\/(-3 + 6). Let m(v) be the second derivative of -w*v**2 + 0 + 9*v + 5\/33*v**3 - 2\/33*v**4. Let m(x) = 0. What is x?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*f*q*t*x + 62*f*q + 4*f*x + 18*q*t*x**2 + 55*t*x**2 - 2*t - x**2 + 7 wrt q.\nAnswer: -3*f*t*x + 62*f + 18*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*y**2 - 18*y - 94*y**2 + 18*y.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-2)\/(-5))\/((-6)\/30). Let l = q - -12. Suppose -3*c + 31 = -5*f, 7*c + 5*f = 2*c - 15. What is the highest common divisor of c and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2626, 5250, 7874, 10498, 13122?\nAnswer: 15746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000085201 rounded to seven dps?\nAnswer: 0.0000852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 123840*r**3*s**3 - r**3*s**2 - 10*r - 360*s**3 - 13*s**2 wrt r.\nAnswer: 743040*r*s**3 - 6*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -754921109 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -36464 + 36456. Which is the nearest to 1? (a) 13 (b) 0.03 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*n - n + 0*n - 35*n - 32*n + 61*n + n - 3*n + n + (2 - 5 + 2)*(-4*n - n + 3*n) in the form o + u*n and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 803*n**2 - 8*n + 3. Let m be 2 + (-2)\/2 + 1. Is a(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1202327?\nAnswer: 7, 171761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor r**4\/5 + 8*r**3 + 212*r**2\/5 + 272*r\/5.\nAnswer: r*(r + 2)*(r + 4)*(r + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 23426340 divided by 5\nAnswer: 4685268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -125 + 411. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -56*s**3 - 3*s**2 - 2*s + 6. Let j be v(2). Let y = -171 - j. What are the prime factors of y?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 465276 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 430 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g + 4. Let r be y(0). Let h be (-4)\/10 + 208\/20. Suppose 4*n + 20 = 0, 3*u + 5*n = -0*n - h. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 913835268.\nAnswer: 2, 3, 89, 223, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21633 + 25741. What is the remainder when y is divided by 71?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 250823.7614 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (43 - 11*f - 43)*(-1 + 0 + 3)*(4*f + 2*f - 7*f)*(-3 + 4 - 3).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 + 4*k**2 - 40*k + 158. Suppose 0 = -3*n - 96*x + 92*x + 12, 3*x + 8 = 2*n. Give a(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b**3 + 4*b**2 + 6*b - 2. What is the remainder when 87 is divided by f(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + 6. Let u = p + -3.8. Let t = 1059\/7 + -151. Is u != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 111*o + 1339. Determine b(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 31 and -1559998?\nAnswer: 1560029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2116885 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110233, 220508, 330827, 441190?\nAnswer: 551597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 158312 is divided by 5106?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 2757 * 140.05\nAnswer: 386117.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 n when three letters picked without replacement from {q: 6, n: 7, s: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -198 + 194. Let s(w) be the first derivative of -2*w**3\/3 - w**2\/2 + 5*w + 1. Let n(t) = 0 + 6*t**2 - 12 - 2 + 3*t. Calculate i*n(x) - 11*s(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 + (-296)\/14 + 32\/126.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (0 - (4 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 458*c**3 + 10*c - 4. Let d(q) = -459*q**3 - 8*q + 3. Calculate 4*d(f) + 3*s(f).\nAnswer: -462*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + (sqrt(637) - (2 + sqrt(637))) + (sqrt(637) + 1 + sqrt(637))*-4 + 2 + -4)**2.\nAnswer: -81824 - 2688*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 0*y - 913 = -2*y, -2*k + 607 = 3*y. Suppose -2*d + 31 = -k. What is the units digit of ((-1)\/3)\/((-8)\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -656*n**4 + 694*n - 2.\nAnswer: -7872*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -2.2221 times -0.2\nAnswer: 0.44442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l**2 - 13*l + 9. Suppose 12 = -4*r - 36. Let z be x(r). What is the highest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -34 - 176. Let z = 541 + v. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*l = 60*l + 29. What is the third biggest value in l, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 143103 and 0.3014?\nAnswer: 43131.2442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**2 - 22*r + 11. Give d(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 + 6*x - 1018. Let v(n) = n**2 - 7*n + 1024. Give 4*v(s) + 5*y(s).\nAnswer: -s**2 + 2*s - 994","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 54693\/8 - 6848. Let z be 119\/759 - 1\/6. Let j = -15949\/1012 - z. What is the common denominator of j and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 211 + 622333?\nAnswer: 622544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06677 rounded to 3 decimal places?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -13 divided by 192682?\nAnswer: -13\/192682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 117*r + 6069. Calculate o(-59).\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -322097858*g**4 - 353*g**2 + 28471*g - 1?\nAnswer: -7730348592*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43145.\nAnswer: 5, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 AM and 12:47 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -6. Suppose 4*x = 3*n - 28, 0*n = -5*x - 2*n - 12. Sort h, -3, x, 0 in ascending order.\nAnswer: x, -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -18.3437 + 10.3437. Let f = 18 - 13. What is the biggest value in f, w, 2\/13, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5487*w**2 - 499*w**5 + 63761015*w**4 - 4*w**6 - 63761015*w**4 wrt w?\nAnswer: -480*w**3 - 29940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 792993.\nAnswer: 3, 264331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*p + 12*p + 718 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*s + 1 + 3*s**2 - 1 - s - 5736*s**4 + 5746*s**4 as c*s + o*s**4 + f*s**2 + b + u*s**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*n**2 + 86 + 8*n**2 - 88.\nAnswer: 16*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(51) - sqrt(204)\/sqrt(64))\/(-6*(sqrt(75) - sqrt(3))).\nAnswer: -sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 + 12*s**2 + 28*s - 51. Let l be w(-5). Let d be (-39)\/(-9) + (-1)\/3. Sort d, -1, l.\nAnswer: l, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -5*f - 5920. Let v = f - 38665. Let u = 15549 + v. Round u to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 AM and 2:26 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 + 17*v**2 - 2*v - 17. Let d be o(-17). Calculate the greatest common divisor of 68 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 66\/14 + 2\/7. Suppose a = 5*j, w*a - 6*j = -2*j. Put a, -5, -2 in decreasing order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -132455353 - -1013?\nAnswer: -132454340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, 5\/2, -16\/5, 10, -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 4*i**2 - 6111504*i + 48891776 = 0. Calculate i.\nAnswer: 8, 1527868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 15 + -21. Let k(h) = 2*h**2 + 10*h - 8. Let t be k(j). Suppose 154 + 22 = t*u. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5 - 4\/5*u**2 + 0*u**3 - 16\/15*u + 2\/15*u**4.\nAnswer: 2*(u - 3)*(u + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 29, 5, 0.01 in ascending order.\nAnswer: 0.01, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*o = -5. Suppose 2 = -q - o*c - 0*c, c = -4*q + 11. Suppose 4 = -l + q*i, -3*l = -2*i - 30 + 7. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 236630382 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*12777.\nAnswer: -2555.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -826\/5 - -166. Factor -4\/5*w - y*w**3 + 1\/5 + 6\/5*w**2 + 1\/5*w**4.\nAnswer: (w - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7118*o + 28 = -q - 7124*o, 27 = q - 5*o. Suppose 0 = 4*t - 0*t. Solve t*g - 2*d - 4 = -q*g, 3*g = -2*d - 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/8 + (-2)\/8. Let i = -720 + 1439\/2. Which is the nearest to m? (a) -4 (b) 13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a. Let p(z) = -184*z + 7681. Determine n(p(k)).\nAnswer: -184*k + 7681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1691?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -6*l - 103*l**2 - 6*l**3 + 52*l**2 + 52*l**2 in the form k*l**2 + h + g*l + o*l**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 3\/(-10)*(-600)\/144?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-41803)\/(-31620) + (-1)\/12 - (-7)\/(-5). Sort y, -0.03, 5, 1 in ascending order.\nAnswer: y, -0.03, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32851948 is divided by 4106492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/((-7)\/(-5))*((-588)\/150 + 4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 3*l - 96 = -4*m, -2*m + 4*l + 38 = 0. Let x = -6 + m. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/78474 and 59\/1831060?\nAnswer: 5493180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of 5*q**4\/2 - 7*q + 6. What is the derivative of i(j) wrt j?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1076512061 to the power of 1\/2, to the nearest integer?\nAnswer: 32810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**11*d)\/(d\/d**(-1\/12)))\/(d*d*d\/(d\/d**(-1\/48))*d*d*(d\/(d\/(d\/(d\/(d\/d**(-14)*d*d))*d)))\/d) assuming d is positive.\nAnswer: d**(-161\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-52*l**3 + 97*l**3 + 15*l**3)*(-1 + 4 + 0) - 6*l**3 - l**3 - 4*l**3 - 4 + 4 - 2*l**3 to u*l + j*l**3 + c + b*l**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 + -5. Let l be 2\/3*3\/y. Solve 0 = -l*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -25203, -25197, -25189, -25179, -25167, -25153, -25137?\n\"Answer: j**2 + 3*j - 25207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 10010110011 (base 2) to base 7.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 221, 873, 1955, 3461, 5385?\nAnswer: 7721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 56092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.2 - -7.8. Let k = -9.0000112 + d. What is k rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -291 - -760. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + l + 19, -x - 4*l - 3 - 31 = 0. Let c(p) = -2*p - 11*p + 13 - 10. Is c(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 18 = 2*w + 4*g, 0 = -4*g. Let o = 99 + -95. Solve -w = -4*u - n, -7*u + 2*u + o = 3*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000020855 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -2 - -2 - (-6 - -3) - -83?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qbb when three letters picked without replacement from diiqiiiqviqdb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 221010122 (base 5) to base 13.\nAnswer: 275193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j - 3. Let p(u) = -1. Let x(f) = -3*p(f) + z(f). Let v(s) = -s + 2. Calculate -v(l) - 2*x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-60)\/(-100)*(25\/(-50) - 11\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h + 2*h**2 - 2*h)*(-8*h - 12*h - 13*h).\nAnswer: -66*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2 - -66?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -76 - -449. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2. Let q(c) be the first derivative of 6 + 0*c - c**2 + 7\/24*c**4 + 0*c**3. Let a(t) be the second derivative of q(t). Determine d(a(l)).\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 1748?\nAnswer: -3\/1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z**2 - 612*z - 27606. Calculate v(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 2*c + 8 = 0, -5*c - 11 = -634*a + 637*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 70864 or -5636?\nAnswer: 70864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 136, 118, 98, 76, 52, 26, -2?\n\"Answer: -p**2 - 15*p + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-4)*(0 + -3 + 3). Solve -2*o = -10 - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h**4\/7 - 183*h**3\/7 + 1209*h**2\/7 + 183*h\/7 - 1206\/7 = 0 for h.\nAnswer: -67, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 5 = 8. Let w(v) = v**2 + 12*v - 11. Let s be w(y). Suppose -9*p = -s*p - 7. Is p greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -12 - k**3 - 558*k + 13*k**2 - 552*k + 2*k**2 + 1098*k. Let b be (-2)\/(-5) + 68\/5. Is 8 a factor of g(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -322*x**3 + 327*x**3 + 0*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1546862453 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 231 = -181. Suppose -2*h - 11 + b = 0. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5802 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -3*a + i + 16, -5*a + 20 = -5*i. Suppose 8 + 42 = a*w. Solve -5*g = -0*g - w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*n**2\/4 - 13113*n + 4035\/4 = 0. Calculate n.\nAnswer: -1345, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -462772 or -462769?\nAnswer: -462772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 665980.\nAnswer: 2, 5, 7, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 + 54 - (2 + -2). Suppose -h = -2*x + 60. Suppose -5*r + 3*b = -b - 27, 0 = -2*r + 3*b + 8. Calculate the greatest common divisor of x and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -109 - -107. Let j = 0 - -0.1. Sort q, -0.3, j.\nAnswer: q, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 449 is divided by 438.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 614*s - 1 - 334*s - 319*s.\nAnswer: -39*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 2 + 2)*(2*w + w**2 + 1 + 2*w**2 - w).\nAnswer: -6*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((1*sqrt(187))\/sqrt(11) + (sqrt(17) - (sqrt(187)*3)\/sqrt(11))**2).\nAnswer: 3*sqrt(17) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of -w**5\/40 + w**4\/2 + w**3\/6 + 29*w. Let z(g) be the second derivative of r(g). Let j be z(0). Solve -3*d - d + j = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 1014 = 4*v, 2*d - 1002 = -6*v + 2*v. Let x = v - 151. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 124 and 88908?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -240 (base 5) in base 9?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/5*365\/1241\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 11 + 7 = 0. Do -7 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 3) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c + 4*c. Suppose -3 = k - c*k. Calculate the remainder when 53 is divided by (-42)\/k*(0 - -1 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9*((-8)\/96*-3)\/(117\/(-24))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes after 11:51 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.003785 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 47*j - 4*t - 106, -2342*j - 4*t = -2343*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 181551549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 11, a: 3, e: 3, n: 3}. Give prob of picking 1 b and 2 e.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 242, 782, 1602, 2702, 4082?\nAnswer: 5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i**3 - 2*i**3 + 5*i**3 + 29*i**2 - 29*i**2 + 5*i**3 + (5 - 3 - 1)*(i - i - 4*i**3).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (25 - 98) + 0 + (6 - 6 - -9)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 2 i when four letters picked without replacement from {i: 11, n: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*n + 15*n - 37*n - 6*n - 22 + 4*n.\nAnswer: -3*n - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(55)\/(sqrt(88)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 29.1 and -0.066073178?\nAnswer: 29.166073178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-228 - -75 - -136) + (93 - (-3 + 1)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -5199387*k**2*s**4 + 8*k**2 - 2*k*s**4 - 67598*k + 5 wrt s?\nAnswer: -20797548*k**2*s**3 - 8*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 115906 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 68 = 49*c - 54*c, -20 = -c - 2*q. Calculate the highest common factor of c and 892.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1550166.9 months?\nAnswer: 12918.0575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**4\/15 + 4*d**3\/15 - 26*d**2\/15 + 4*d\/3.\nAnswer: 2*d*(d - 2)*(d - 1)*(d + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 80754, 167853, 254952?\nAnswer: 342051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(4\/672*-2). Let z(t) = t**3 + 4*t**2 + t + 4. Let u be z(-4). Suppose 0 = -u*h + 3*h - f. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 122*l - 37. Is k(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -13*p**2 + 115*p - 111. Determine z(7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -48 and 1132?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -74508 divided by -37254\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(4*(-5)\/(-10)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:07 PM and 9:50 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -91\/98652 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/4)\/((-22)\/(-8)). Which is the smallest value? (a) m (b) 4 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -76*f**2 + 218*f - 2*f**4 - 138*f**2 + 19453 - 9566 - 9671 - 218*f**3 = 0?\nAnswer: -108, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -141 + 140.7. Which is the closest to -6? (a) v (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 795 = -12*i - 763 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-15 + 12)*(-8)\/(-24). Which is greater: v or -210?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 0.3 (c) -8\/7 (d) 0.02 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**2 + 8*j + 1. Suppose -2*n = 3*n - 60. Let q be n\/((-4)\/((-24)\/(-9))). What is the units digit of r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of m**3\/6 + 2*m**2 - 2*m. Let z = 8 - 13. Let o be v(z). Which is the third smallest value? (a) 3 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101100111 + -1011101100?\nAnswer: -11001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h + 4. Let j(d) = 29*d**2 + 1. What is r(j(k))?\nAnswer: 29*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bcbbccbbbbbcbc?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(((-5)\/(-6))\/5). Let s(o) = -o**3 - 13*o**2 + 14*o + 1. Let y be s(-14). Let h = q + y. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -2*n - h, 4*n - 8*h - 120 = -12*h. Let a(l) = -9*l**3 + l**2 - l - 1. Let s = 1 - 2. What is the smallest common multiple of a(s) and n?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h. Let g(z) = 111*z - 1. What is g(b(d))?\nAnswer: 111*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -48*d**2 + 3291*d + 19. Let g(y) = -8*y**2 + 550*y + 3. What is -3*a(s) + 19*g(s)?\nAnswer: -8*s**2 + 577*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify z*((z**(1\/5)\/z*z)\/z)\/z*(z*z**(-13)\/z)\/z assuming z is positive.\nAnswer: z**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 0. Suppose y*l - 2*f = -f + 60, 4*l + f = 108. Differentiate -l + 71 + 14*h**4 - 28 wrt h.\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r be ((-312)\/(-10))\/(12\/(-960)*-16). Let m = 841 - 451. What is the highest common factor of m and r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = -2*b + 21. Let t(y) = y**2 + 8*y + 9. Let x be t(b). Let l = 1296 + -1286. Solve 0 = -5*p - l, 3*p + 8 = 2*c + x*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28 - -32. Suppose d*c - 2 = 18. Solve s - c*s = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000192138251 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 43353592 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1573.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 11, -1\/26, 0.4, 2\/17, 1\/5 in descending order.\nAnswer: 11, 0.4, 1\/5, 2\/17, -1\/26, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*f + 7. Let d be 1 - f\/6*-3. Sort -4, -3, d in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 365974156.\nAnswer: 2, 2711, 33749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11178 is divided by 3699.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 30\/4*(-6)\/(-45)*(4 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**3 + w**2 - 3*w + 7. What is j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -50*s**2. Let k(x) = -x - 1. Let f(o) = 2*o + 1. Let l(j) = f(j) + k(j). Determine b(l(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -j**4\/2 + 1863*j**3\/2 - 931*j**2 = 0.\nAnswer: 0, 1, 1862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5211900 rounded to the nearest ten thousand?\nAnswer: -5210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81464898 is divided by 6654.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y - 2 + 2)*(3*y - y - y) + 634*y + 40*y**2 - 634*y + 2 + y**2 - 2.\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - 32*b**2 + 39*b + 163. Give g(-33).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 35 - 19 = 0. Let o be 78\/12 - (-2)\/y. Suppose -550 = 2*w - o*w. What is the remainder when w is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 - (-13 - (-39 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 415 is divided by 135.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.3 + 0.4. Let z(j) = 8*j + 4. Let c be z(-3). Let w be (-4)\/20*c\/(-8). Do w and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-640)\/(-35) + 20\/(-70) - 12\/2. Solve 13*d - c*d + 8*h = -45, 2*d + 35 = -5*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-2)*(-8)\/64*20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(153) - 3*sqrt(153))\/sqrt(9) + -5 + (3*1*sqrt(153))\/sqrt(9).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.2 - 0.6. Let g = -0.61 + y. Let l = -0.09 + g. What is the closest to -1\/2 in 0.4, l, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 0*i + 5*t = -3, -2*i = -4*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qydss. Give prob of sequence dy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 45*o - 1682. Calculate k(27).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 + 234*h**2 - 8214*h - 216. What is m(43)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*2*2\/28. Let t = -153.88 - -2.88. Let f = 154 + t. Put 4, m, f in increasing order.\nAnswer: m, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the second derivative of -y**6\/30 - y**5\/5 - y**4\/3 + 7*y. Factor m(g).\nAnswer: -g**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - a**3 + 3*a**3 + 2*a**3 in the form x*a**3 + k*a**2 + d*a + f and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n - 4*s - 7 + 3, 3*n - 27 = 5*s. Suppose -3*u - 4 = -n*u. What is the second derivative of t - u*t**3 + 5*t**3 + t**3 wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2 - 0) + (4 - 0). Let b(l) = -l**v + 1 + 4 - 4 - l. Let c(f) = -f**2 + 5*f + 2. Let k be c(5). What is b(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128116030 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: Round -24.4412383 to two dps.\nAnswer: -24.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -3.936, 0.4, -2\/5, 4, 5\/2 in decreasing order.\nAnswer: 4, 5\/2, 0.4, -2\/5, -3.936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 2*n**2 - 3*n. Suppose -5*l + 3*l - 10 = 0, 2*l + 294 = 4*q. Let g = q + -68. Determine x(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**5*j**(-4))\/(j\/j**(1\/6)*j*j**(-10)) assuming j is positive.\nAnswer: j**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 64955126 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t**3 + 13*t**2 - 68*t + 370. Calculate y(14).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 + t**2 - t + 2. Let j be f(0). Let b = 9 - j. Let d = -6 + b. Let z(g) = -g. Let r(a) = 8*a. Give d*r(s) + 6*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3042, -6102, -9158, -12210, -15258, -18302, -21342?\nAnswer: -24378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-v + 0*v + 0*v)*(6 + 50 + 58) - 5*v + 3*v - v to the form x*v + w and give x.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 0.086603433?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48519?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 + 8*l + 9. Give j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**(-7)*s))\/s**11*s*s**8*s*s\/(s\/(s\/(s*s*s**(-2\/7)*s)))*s assuming s is positive.\nAnswer: s**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as 2283\/14965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -177, -295, -401, -489, -553?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - (-118)\/(-10))\/((-54)\/135). Let u(k) = k**2 - 22*k + 111. Let j be u(i). What is the highest common factor of 82 and j?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 2*h + 4. Suppose -t = 3*z + t - 31, h*t + 57 = 5*z. Let b = z + -5. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -2\/13, -161, -1\/12, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 10) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a, 4*v + 0*a - 12 = 2*a. Suppose 5*m - 2*r = -7, -4*m + r - 5 = -0*m. Let t = m + 3. Solve 2*o - 4*y - 18 = 0, 0 = v*o - t*o + 5*y + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9503063 and 326?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 = -2*v + 10. Suppose l - 2*k - 15 = -3*k, -3*l + 5*k = -61. What is the greatest common divisor of v and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -182*p**3 + 3*p**2 - 9*p + 7. Let v(r) = 92*r**3 - r**2 + 4*r - 3. Determine 3*o(n) + 7*v(n).\nAnswer: 98*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*i - 9*i**3 + 12*i + (0*i + 0*i - i)*(i - 2*i - i)*(132*i - 32*i - 9*i) to the form x + f*i + k*i**2 + o*i**3 and give o.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes after 2:40 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the first derivative of -2*z - 3\/2*z**2 - 3 - z**3. Give c(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1101011101001111110 (base 2) in base 16?\nAnswer: 6ba7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 125870028 divided by 31467507\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1787 a factor of 1679051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 - 51*x + 6890. Calculate g(-114).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 1345 divide 88644941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5\/3 (b) 2\/827 (c) -0.5 (d) -1\/4 (e) -0.3 (f) -4\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + 1 + (-13 - (-6 + 11 + -19)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105*u - 72*u - 48*u - 102*u - 149*u.\nAnswer: -266*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -25638 + 25663. What is the greatest common divisor of r and 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*z + 84 - 31 = 386 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 593 = -2*w, 0 = 2*s - 2*w - 236 - 0. Which is the second biggest value? (a) 1\/4 (b) 3 (c) -0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -24*b**3 + b**2 - 2. Let y(u) = -6*u - 56. Let j be y(-9). Is g(j) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 2*i - 16 - 10, -5*i = 3*c - 65. Let p(f) = 7*f - 4. Let k be p(4). Suppose k = -t + 2*t. Calculate the remainder when t is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -184038, -368055, -552068, -736077, -920082, -1104083?\n\"Answer: 2*y**2 - 184023*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -178 or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = t, -3*x + 19*t - 15*t = -57 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 238*j - 271 + 2001 = -1840 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1196997983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -87*g**3*m*q**3 + 4*g**3*p - g*m*p - 9*g*m*q + 3*m*q - 5*p*q**3 wrt q?\nAnswer: -522*g**3*m*q - 30*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 8:58 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*p - 16 + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 90840409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-35)\/(-140)*(-9)\/(-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 357, 939, 1889, 3201, 4869, 6887, 9249?\n\"Answer: -j**3 + 190*j**2 + 19*j + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is o in -13230*o**3 - 8813004*o**2 - 1214792*o - 5328 = 0?\nAnswer: -666, -2\/15, -2\/441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3940, 8002, 12064, 16126?\nAnswer: 20188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*m - 4*m. Let y(f) be the third derivative of -f**6\/40 - f**5\/15 - f**4\/8 - f**3\/3 - 2*f**2. Is y(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 339\/11 - 31. What is the closest to 0.1 in f, -14, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 57 divided by 57\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 696421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-9) + 1383\/27. Suppose z + 18 = y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 5*r + 128 = 1188, -2*r - 842 = -4*v. Calculate the highest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/346450 and -199\/390.\nAnswer: 1039350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -37 (base 8) to base 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 5*t. Let w(b) be the second derivative of -b**4\/8 + 5*b**2 - 2*b - 12. Let u(s) be the first derivative of w(s). What is u(i(p))?\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5\/3 - 2. Let h = -0.14 - -4.14. Which is the smallest value? (a) d (b) -1\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 274089905 to the power of 1\/2, to the nearest integer?\nAnswer: 16556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * 5387.8.\nAnswer: 1077.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in 1.88, 3, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/9, -242, 0.5 in ascending order.\nAnswer: -242, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 839\/28432?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 + 103*b - 1389. Let r be x(87). Let p(y) = 2*y**2 + y**2 + y**3 - 3 + 0*y**2 + 7. Let z be p(-3). Solve r*f = z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 plus -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 975793440 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**4 + 4*n**4 + 2*n**4 - 2*n + 2*n**5 + (-2*n - 2*n + 3*n)*(-7*n**4 + 2*n**4 + 3*n**4).\nAnswer: 4*n**5 + 5*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + 9d86?\nAnswer: 9d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -21*b**2*s**3 + 2*b**2*s - 21*b**2 + 1653*b*s**3 wrt b?\nAnswer: -42*s**3 + 4*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 72, -4, 18, 0.4?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 37.650213 minutes in days?\nAnswer: 0.02614598125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -103 - -159. Suppose 0 = 5*r - x + 16. What is the greatest common divisor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 10 = -0*q. Suppose q*g - 18*g + 24 = 0. Solve -4*x - 24 = -5*m, -g*x = 2*x + 5*m - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1783*c - 301 = -1790*c. Calculate the remainder when 62 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:30 AM and 10:12 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 + -5 + 3 - 4. Let a = o + 8. Suppose 5*w + 5*y = 5, 3*w + 4*y = 3*y + 7. Solve 6 = -z - z, a*d - 3 = w*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of 4\/3*c**3 + 0 - 12*c + 0*c**2 + 1\/40*c**5 - 1\/12*c**4. Let x(f) be the second derivative of r(f). Calculate x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2618, 5272, 7960, 10682, 13438, 16228, 19052?\nAnswer: 21910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/((u\/(u\/(u**(-7)*u)))\/u))\/u**(-8))\/(u\/(u*(u\/(u\/u**0))\/u))**(-7\/6)*(u**(1\/2))**(13\/6)*u\/u**2*u**(-1) assuming u is positive.\nAnswer: u**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1160 - 1163.3. Sort -4, 4, j in increasing order.\nAnswer: -4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z**5 + 1230*z**4 - 26615*z**3 - 3680*z**2 + 82260*z - 53200 = 0. Calculate z.\nAnswer: -266, -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 10516, 11?\nAnswer: 10516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 76.71409 milligrams in grams?\nAnswer: 0.07671409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 2 - 2*r**2 - 4*r + 7*r**2 + 0*r + r**3. Let t be n(-6). Let z = t + 18. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (8 - 5) - (5 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*d**2 + 76710*d - 6850953.\nAnswer: 3*(d - 89)*(d + 25659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19677*g**2 + 15398*g**2 - 35057*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*m = -41*m + 27. Let d(r) = 2*r**2 - 12*r - 13. Calculate d(m).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7179 + -58460. Let x be 3\/(-2) - l\/38. Suppose 0 = -45*t + 41*t + x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176094 = 3833*u - 3806*u. Is 71 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 5*w + 10 = 0, -9 = -3*a - 3*w - 3. Let k be (a + 2)*34\/8. Let p = 260 + -256. Sort k, p, 1 in descending order.\nAnswer: k, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/65 + (-1)\/13 - (-5 - -5)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 2*z + 4*n, 0 = 2*z + 2*n + 3*n + 19. Suppose 15 = 4*p + z. Suppose h + 152 = 20*h. Solve h = -i - p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12030 or -12031?\nAnswer: -12031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*h**3 + 12771*h**2 + 205506*h + 80160.\nAnswer: 3*(h + 16)*(h + 835)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/9 + 122\/(-18). Let n(o) = 16*o + 23. Let w(h) = -2*h - 2. Let j(m) = -2*n(m) - 14*w(m). Does 7 divide j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 85.92597 millilitres to litres.\nAnswer: 0.08592597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of -13\/2*k**2 - 35 + 122*k. What is the derivative of z(l) wrt l?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 726014 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-26)\/1638)\/((-55)\/(-66))?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the first derivative of 2*h**3 + 12*h**2 - 220*h - 1897. What is the derivative of l(x) wrt x?\nAnswer: 12*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f**2 - 3*f**2 + 2*f**3 + (-3*f + 3*f - 2*f**2)*(-4*f + f + f) + 7*f**3 - 2 + 0 - 9*f**3.\nAnswer: 4*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-9)*(-1512)\/196.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 731, 753, 797, 869, 975, 1121, 1313, 1557?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1, 199, -2 in decreasing order.\nAnswer: 199, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*(y**(-7\/4)\/y)\/y*y)\/y)**(-41) assuming y is positive.\nAnswer: y**(451\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2.2616 times -40?\nAnswer: 90.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.706 - 2.294. Which is the nearest to 3? (a) -1\/3 (b) -0.4 (c) -4\/5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 712593.\nAnswer: 3, 7, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-8)\/o*o*o*(o**1\/o*o)\/o*o*o)\/((o**(-6\/7)*o*o)\/((o*(o**3\/o)\/o*o)\/o*o)))**(-9\/2) assuming o is positive.\nAnswer: o**(99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/(-9) - 3*-1. Find the third derivative of -7*n**2 + 2*n**o - 5*n**2 + 8*n**6 + 2*n**2 wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 665 by -7.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(3\/7)*i*i**(4\/3)*(i**(-2))**(-23)*(i*i**(1\/2)\/i)**(7\/3)\/(i\/i**(4\/3)*i*i*i*i**8) assuming i is positive.\nAnswer: i**(1649\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 12450 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 78207891, 78207871, 78207851, 78207831, 78207811, 78207791?\nAnswer: 78207771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(640)\/sqrt(8)*3 + -1)*-1.\nAnswer: -12*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j - 10*j + 28 = 0. Suppose j*r + 20 = 18*r. Suppose -7 - 9 = 3*l + 4*d, r*l + 3*d = -12. Solve -f - k = 2 - l, -2*k = -2*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133568387.\nAnswer: 8923, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 66493797527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(9\/2)\/o)**(-34) assuming o is positive.\nAnswer: o**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2057) + 2 + sqrt(2057))**2*-6.\nAnswer: -49392 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14\/14)\/((-63)\/(-441))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 3*o**2 + o + 1. Let l(y) = 13*y**2 + 11*y + 5. Let j(i) = 6*i**2 + 6*i + 2. Let a(u) = 7*j(u) - 3*l(u). Let c be a(3). Let p = c - 54. What is h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 7 = 5*l, 3*l - 5*l + 8 = -3*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 + -540006?\nAnswer: -540005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes before 4:22 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -516045 by 172015.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**2 + 3*x + 135. Let m be v(13). Suppose -202*j + 197*j = -m. Let l be (2\/(-44))\/((-3)\/6). Is j less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: -9870+-0.21405692258\nAnswer: -9870.21405692258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + t = 16, 0*o + 3*o + t + 20 = 0. Suppose 2*w - 17 - 3 = -4*m, -2*m = 2*w - 8. Is (-538)\/o - 4\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + 0. Suppose -216 = m*d + 2*d. Let t = -19 - d. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 4*y**2 + 90*y - 92. Determine t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 6406*v + 4. Let f be x(1). Suppose -11*q + 21*q = f. What are the prime factors of q?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14.9 + 15. Which is the second smallest value? (a) 4 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -2*y + 3. Let o be c(0). Solve 4*t + t + 5*i + 15 = 0, 0 = 4*t + o*i + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-24)\/20)\/(12\/160). Let y = -11 - z. Suppose -y*s = s - 966. List the prime factors of s.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11.7 less than 3812?\nAnswer: 3823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15 - 11 - -5) + (5 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (528\/(-4))\/(((-21)\/112)\/((-6)\/(-96)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 110 a factor of 68118142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*a + 28*a + 19*a + 21*a + 22*a - 111*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -773*o**4 + o**2 - 2674*o + 141628549 wrt o?\nAnswer: -3092*o**3 + 2*o - 2674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 91.62443g in kilograms?\nAnswer: 0.09162443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 773830*m**3 + 96*m**2 - m + 104.\nAnswer: 4642980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1375 is divided by 406?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 0.238 times 269.1\nAnswer: 64.0458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7\/69 - -13\/23. Let -4\/3*l - c*l**2 - 2\/3 = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/55 (b) -0.5 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3094288 rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 182*c - 184*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -48.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (28\/182)\/((10\/(-260))\/(3\/(-6))). Determine a, given that 0*a + 2\/9*a**z - 2\/9*a**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/7 + -15 + 16. Suppose 0 = 4*d - d. Is d smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 - -17.5. Let z = -13 + v. Let a = 11 - z. Sort a, -2\/7, -4 in increasing order.\nAnswer: -4, a, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - 7 - (-2 + (3 - (1 + 4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(147) - 1*sqrt(147))**2 + -2)*-2 + 2 + sqrt(147) + sqrt(147) + 0 + sqrt(147) + 3)*-6.\nAnswer: -126*sqrt(3) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 3*x**3 + 305*x**2 - 409*x + 623. Calculate the remainder when w(-103) is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 + 3 - 4)*(181*h + 124*h - 95*h) + (2 - 2 + 2*h)*(4 + 2 - 3) as g*h + l and give g.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -253 greater than or equal to -0.065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = 24 - 4. Let z be -5 - s\/(-6)*-12. Suppose 2*d + 242 = z*d. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in thirty-two fifths of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - s + 20 = 0, 3*g + 22 = s + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*(v**21\/v*v)\/v)**(-32))**(7\/2) assuming v is positive.\nAnswer: v**(-2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/1 - (5 + -3). Suppose -n + b*d + 8 = 0, -4*n + 4*d + 7 = -17. Suppose -5*x = -2*x - 12, -n*x + 12 = 2*i. Is i at least -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -141521.\nAnswer: -4\/141521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4911*r - 72*r**5 - 4911*r)*((3 - 1 - 1)*(-1 + 2 + 3) - 1 + 5 - 3).\nAnswer: -360*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 50427900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 37068135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: What is next in -806, -1611, -2416, -3221, -4026?\nAnswer: -4831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.0047 + -0.3517. What is j rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of b**2 + 3*b + 5. Calculate r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**2 - 23*t - 78. Let k be f(21). Find the common denominator of (-2)\/(-6)*-231*6\/k and 101\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*y - 4*h + 25, -20 = -2*y + 6*y + 2*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2221010100 - 0?\nAnswer: -2221010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppvvvppvppvp. Give prob of sequence pv.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.14 + -0.57. Let w = 0.45 + q. Let t = w - 0.64. Sort 0.3, -3, t in increasing order.\nAnswer: -3, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 4 = 2*x. Suppose 75 = 5*z + x*y, -2*z + y = -33 + 3. Suppose -5*h + z = -30. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -708300 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -30*y**2 - 22*y + 9. Let q(b) = -11*b**2 - 8*b + 3. Let z(v) = 3*n(v) - 8*q(v). Let f(g) = 2*g**2 + 2*g - 4. What is -5*f(c) - 6*z(c)?\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*g + 14 - 14 to the form u*g + o and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 - 6*l**2 - 11*l - 9. Give g(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -19*h**3 - 19. Let z(x) = 7*x**3 + 3. Let y(c) = 8*c**3 + 3. Let b(r) = 4*y(r) - 5*z(r). Let p(a) = 39*b(a) - 6*d(a). Differentiate p(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 315 and 9905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*o**3 + 106302*o - 105929*o + 4*o**2 + o**2 - 4*o**2 in the form q*o + k*o**2 + i*o**3 + g and give q.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 53405300 (base 6) to base 4\nAnswer: 11333301210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -6.984395 rounded to 2 decimal places?\nAnswer: -6.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4128833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 177 divided by -91484.\nAnswer: -177\/91484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**3 - 7*j**2 + 4*j - 1. Let m(b) = -b**3 - 7*b**2 - 6*b - 8. Let y be m(-6). Let z be d(y). Let g = -12 + z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*1*sqrt(187)*-5)\/(6*sqrt(1331)*-3).\nAnswer: 5*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 574*w**3 - 2*w**2 + 948*w wrt w.\nAnswer: 3444*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 273, 2601, 8925, 21243, 41553, 71853?\n\"Answer: 333*j**3 - 3*j - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d**(-4\/3)\/d))\/(d\/d**(-3\/2))*(d\/(d**(-2)\/d))**(-5\/13) assuming d is positive.\nAnswer: d**(-55\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.4 and 2.2?\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -31*c - 32*c + 65*c. Let w(o) = -2*o**2 + 9*o. Let r(z) = z**2 - 4*z. Let k(f) = 9*r(f) + 4*w(f). Determine l(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 2\/3, 0.1, -33, 4, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -12, 0 = 5*l + 5*b + 63812 - 444732. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 7*r**5 - 2*r**2 - 4*r - 4. Let o(t) = 7*t**5 - t**2 - 5*t - 5. Let c(j) = 5*g(j) - 4*o(j). What is the third derivative of c(w) wrt w?\nAnswer: 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2*k - 12. Let v be z(-8). Let o be (-3 - (2 - v))\/1. Let d = 21 + o. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -51*o**4 + 2151*o**3 - 25725*o**2 + 74853*o - 12420 = 0. What is o?\nAnswer: 3\/17, 4, 15, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -130a (base 11) to base 4\nAnswer: -122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 149*u**2. Let f(m) = -55891052 - 11*m**2 + 55891052. Determine l(f(j)).\nAnswer: 18029*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1133*c**2 - 1233*c wrt c.\nAnswer: -2266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from krljzzrzxkzj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3 - -7. Let w = c + -17. Let i be 2\/w - (-200)\/14. What is the highest common divisor of 21 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 850 is divided by 171?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -37 - 3*v**2 + 37 - 5*v - v.\nAnswer: -3*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 234 + 33. Suppose -2*u + 5*k + 437 = 0, 7*u + 2*k - 703 = 4*u. Suppose -6*z + x = -u. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1115)\/805 - 2030\/(-1421).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (3*sqrt(272))**2.\nAnswer: 2453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -396 in 0.15, -2994, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/16? (a) -3 (b) 4 (c) -213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f be -5*(2 - (-147)\/(-15)). Let h = -8 + 21. What is the highest common divisor of f and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 + 5*z**2 - 5*z + 3. Let i be w(4). What is the units digit of 0 - -2*i\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**2 + 20*a + 81. Give i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 45691262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -2*l**5\/5 + 32*l**4 - 888*l**3\/5 = 0.\nAnswer: 0, 6, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:45 AM and 2:01 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 3*p**2 + 30*p + 187. Let r be a(-7). What is the greatest common factor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 8, 96, 2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/53, 4, 28\/227 in decreasing order.\nAnswer: 4, 28\/227, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 1100000011100110110100 (base 2) to base 13.\nAnswer: 868725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*g + 2*g. Suppose 2*d - 42 + 17 = -q, -5*q - 4*d + 149 = g. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from uuubububbubbbbuuubbb?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 22 = 5*p + 2, 0 = 5*o + p - 10. Let z = 31 - -32. Is z\/((o - -3)\/4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 230*m**3 - 4*m**2 - 16*m + 586. Let i(s) = -229*s**3 + 3*s**2 + 12*s - 586. Let f(o) = -4*i(o) - 3*t(o). What is the first derivative of f(v) wrt v?\nAnswer: 678*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(912) + sqrt(912)*1 + sqrt(912)) + sqrt(912))\/((sqrt(432) + (sqrt(432)*-1 - sqrt(432)))*1).\nAnswer: 17*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 245.03 - 245. Let w = -7.04 - 0.96. Which is the nearest to 1? (a) 3\/2 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + 6*h + 2*h)*(-2 + 5 + 4)*(-4 + 1 + 4)*(6*h + 0*h - 4*h) as j + k*h**2 + i*h and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 43.52374 years in decades?\nAnswer: 4.352374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -115.11 + -14247?\nAnswer: -14362.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -239.81 + 243. Let h = n + -3.1. Which is the smallest value? (a) -5 (b) h (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -i**3 + 6*i**2 - 6*i. Determine f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 558 - 1076. Is 5\/20 + s\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*p + 4*q, 17*q - 15*q = -2*p. Solve 7 = -p*h - o, -h + 3*o = -0 + 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -703682 - -237?\nAnswer: -703445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*l + l + 3. Let r(m) = 8*m - 2. Let w(o) be the third derivative of o**4\/24 - o**3\/6 - o**2. Let g(n) = l*w(n) + r(n). Determine g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 + 3*p**2 - p + 16. Let n be j(0). Solve 0 = 59*k - n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*u - 13*u = -4. Let i(p) = 39159931*p - 69. Let d be i(u). Round d to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1792 (base 14) to base 3\nAnswer: 12211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (13\/(-26))\/((((-300)\/(-555))\/(-20))\/(2*-1))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 112*q + 4494 = 326*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -65 - -67. Suppose 0 = -r*m + 4, 0*m - 14 = -3*z - 4*m. Solve 0 = z*s - 2*u - 12, -5*s + 2*u = -s - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + ((sqrt(168)\/sqrt(7) + sqrt(24))*-5)\/(sqrt(40)\/sqrt(5)*-5))*1.\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 17*f - 128. Let n(x) = 4*x - 27. Let y(b) = -9*n(b) + 2*t(b). Calculate y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11210222222 (base 3) to base 9.\nAnswer: -153888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, 1, 0.4, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -m**2 + 0*m**2 - 2*m**2 + 5*m**2 - m**3 to d*m**3 + x*m + v*m**2 + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -0.8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 1956*p**2 - 2*p - 3. Let s be x(-1). Suppose -4*b + 3895 = -46*g + 41*g, s = 2*b - 5*g. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2121 or 2122?\nAnswer: 2122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*i**2 - 9*i**2 - 13*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of 7*s**4\/8 - 5*s**3\/6 + 2*s**2. List the prime factors of d(3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -5196*f - 3237099. Determine s(-623).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add -374 and 0.03.\nAnswer: -373.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 356714 (base 10) to base 14\nAnswer: 93dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 221 or 813502?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-2))\/((50\/80)\/(175\/(-60)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -120 + 7*i**2 + 40*i + 2*i**3 + 7*i**2 - 44*i**2 + 72*i + 0*i**2 = 0.\nAnswer: 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -7 - (3 - -3 - 11)*(-48)\/(-20). Let x = -18 - -22. Solve -3*d + 2*d + f*l = 5, -2*l + 20 = -x*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 36 - 35. Let t = h - -1. Solve 0*z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tuauoasututauuhtuuhs. Give prob of picking 2 h and 1 u.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 5, c: 11}. Give prob of sequence cxxc.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.9 and -54.491?\nAnswer: -49.0419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.027742 + -0.072258. Let u = -7 + 23. What is the biggest value in u, -1, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 - (-3 + (-4 - -8)). Sort -4, -2, k, 4 in decreasing order.\nAnswer: 4, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 + 3 + (-6)\/2. Let p be (-200)\/(-52) - j\/13. Let y(w) = -2*w - 4. Let b be y(-6). Solve b = 4*a - p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/34 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000424 rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be 79652\/((-2)\/(-12)*60\/40). Suppose -13*w + t = 3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 31074930, 62149856, 93224780, 124299702, 155374622?\n\"Answer: -r**2 + 31074929*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 10 = 5*v, -3*v + 10 = -0*v - 4*q. Let h be 15*(1 + (-3)\/5). Let x = v + h. Solve x*p - p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2*i**3 + 18*i**2 + 3*i + 8. Let c be l(10). Let y = c + 160. What is the fourth smallest value in -0.3, 2, y, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 + 5*m - 13. Calculate f(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5*(-1)\/(-9)*(-81)\/(-45). Let v(c) = 3*c**3 + 4*c - 7. Let y(f) = -f**3 - f + 1. Give s*v(h) + 4*y(h).\nAnswer: -h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 6*t**2 + 4. Let z be 3\/((-5)\/(30\/9)). Let v = z + 6. Let i be r(v). What is i rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 1\/3, -1.7, -3, -19, -1\/3 in decreasing order.\nAnswer: 1\/3, -0.1, -1\/3, -1.7, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 7:34 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:44 AM and 9:58 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence akgk when four letters picked without replacement from {g: 1, k: 3, a: 5}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + j = -2*j + 13, -3*n + 5*j - 19 = 0. Let m(u) = 28 - u + 4*u + n*u + 0*u. Is m(7) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fssmsmxs. Give prob of picking 2 m and 1 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 45143.99mm?\nAnswer: 45.14399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 18273.1 * -0.04\nAnswer: -730.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.7931721 decades?\nAnswer: 0.07931721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2, 21, 58, 119, 210?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of -4337501*y**4\/24 - 4*y**3\/3 + 21*y**2. Let d be s(-8). Round d to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 + 2. Let i(m) = m. Let t(w) = -4. Let v(c) = l*t(c) - 4*i(c). Let g(b) = 7*b - 7. Give -3*g(f) - 5*v(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3548 - -3554. Solve 5*h - 4*a = -x, 0 = 2*h - 2*a - 1 + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qbq when three letters picked without replacement from {b: 4, q: 14}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14*b - 2*b**3 - 2*b**4 - b**2 - 14*b + 4*b**2 to the form i*b**2 + k + q*b**4 + z*b + y*b**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13658583375.72767591 + 13658583522. Let g = h - 0.26865409. Let j = g + -146. What is j rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*j + 31*j + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**2 - b + 1. Let f be a(0). Let x(i) = i - 1. Let q(o) = -19*o + 384. Let h be q(20). Let j(p) = -5*p + 4. What is f*j(m) + h*x(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.3 (b) -4647 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 50 and 4750.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -5*y - 4. Let o = 25 - 17. What is the remainder when o is divided by (-8)\/(-2)*(-3)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 - 110497704?\nAnswer: -110497703.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2.242 - -2.25903. Round v to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2930, -2923, -2918, -2921, -2938, -2975, -3038?\nAnswer: -3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 - 32*d + 47. Let b(y) = 14. What is -4*b(h) + u(h)?\nAnswer: h**2 - 32*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: 8335 + -45022\nAnswer: -36687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.75244 to 2 dps.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 27*k + 32. Let c be u(6). Suppose -2*j + 2*a + c = 36, 5*j = 2*a + 410. Calculate the smallest common multiple of 18 and j.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2283223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3\/26, -0.2, 15\/37.\nAnswer: -0.2, -3\/26, 15\/37, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/48 and (2725\/160 - 15)\/(1\/(-2)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35*g**3 + 0 + 14*g**3 + 1 - 1.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 20 = -52. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2.7 (b) -1.02 (c) 4 (d) -0.1 (e) 6\/5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does -868 = -5209\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 19269 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 8 - 1 - o**3 + 2*o - 6. Suppose 52*n + 38 = 33*n. Calculate l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*o - 22*o + 387 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 392067783.\nAnswer: 3, 709, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)*2)\/sqrt(3))\/(6*sqrt(32)\/sqrt(4)) - (sqrt(175)\/(sqrt(5)*1))\/(sqrt(56)\/sqrt(2)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004438636 to 6 decimal places.\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -579 + 746. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -141979586\nAnswer: 1\/70989793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -204*o + 327. Calculate the lowest common multiple of 21 and w(-13).\nAnswer: 20853","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.31 times -0.35065?\nAnswer: -0.1087015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (24031*p**4 + 8732*p**4 - 4918*p**4 + 20487*p**4)*(-4*p + 3*p + 3*p).\nAnswer: 96664*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4719 and 116523?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3110 (base 13) in base 15?\nAnswer: -2018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p - 5. Let j be a(-6). Let d(x) = -x - 10. Let w be d(0). Let u = j - w. Are u and 2\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z + 2*z + z + (-4 + 2*z + 4)*(0 - 1 + 3) + (30*z - 3*z - 5*z)*(-2 + 3 + 1) + z - 2*z + 3*z + (-z - z + 3*z)*(1 - 2 + 3) - z + 6*z - 3*z.\nAnswer: 55*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -50 - -8. Let j = m + 37. Which is the second biggest value? (a) 0.1 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 509018521 a multiple of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*4\/40*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -98 and -0.5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of 25*h**8\/336 + 11*h**7\/21 - 5*h**6\/24 - 23*h**5\/6 + 5*h**4 + h**2 + 67*h - 7. Determine q so that m(q) = 0.\nAnswer: -4, -2, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1420 (base 5) to base 9\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 118180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 95\/78 and -179\/780.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 5441340 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f\/(f*f**6)*f)\/f*f\/(f\/(f\/f**(-2\/3))))\/(f**(-1\/2))**(-2\/141) assuming f is positive.\nAnswer: f**(-157\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 3608 + 76 = 0. Let u = d + -210. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1708 + 1718. What is the remainder when 1008 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 6 - 1)*(-1 - 2 + 1) - 3 + 0 + 0 - 2 + 7 - 1)*(4*d - 4*d - 2*d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -381 from -9315811.\nAnswer: -9315430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 6924, 4, 3, -5 in descending order.\nAnswer: 6924, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -837 = -5*a - 4*v - 902, 2*v - 95 = 5*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x**3 - 3633*x + 3*x**3 + 3633*x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 224\/(-16)*(-2)\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -34*g**2 - 4*g. Let x(v) = 71*v - 136. Let s(c) = -25*c + 48. Let h(q) = -17*s(q) - 6*x(q). Calculate -4*h(w) + j(w).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.08 - -2224056182?\nAnswer: 2224056181.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-172)\/(-258))\/(4\/(-10))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 50 divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 65484 is divided by 1807.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1 - 0 - (0 - 542). Suppose 6*k = 4*p + k - y, -4*k - 536 = -4*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -212222112 - 12?\nAnswer: -212222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of a**4\/6 - 3*a**3\/2 - 737*a**2 - 691*a - 1. Differentiate n(m) with respect to m.\nAnswer: 4*m - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 27*u**2 + 24*u**2 - 46*u**2. Let i(n) = -n. What is i(r(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/((-1)\/65 - 0). Suppose k + 3*n = 15, 3*k + 12 - 29 = -2*n. Suppose 0 = -k*c + b + 485. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 747 (base 14) to base 8\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000324335 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 9:47 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 18431, -1\/5, 1.2, 2, -0.3 in descending order.\nAnswer: 18431, 2, 1.2, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the second derivative of -s**4\/12 - 5*s**3\/6 + s**2 + 43*s. Let r(c) = -c**3 - 5*c**2 - 3*c - 1. Let p be r(-4). What is x(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -123306 less than -3.568567972?\nAnswer: 123302.431432028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from jljl.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2690, 21947, 74218, 176009, 343826, 594175?\nAnswer: 943562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11095 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 26d (base 15) to base 6\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o**4 + 0*o**4 - 2*o**4)*(-1 - 2 + 1).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 + -6.5. Let u = 33047.5021 + -33049. Let l = u + b. Round l to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 + p + 1. Let a(u) = 2*u**2 - 3*u - 6. Let b(h) = a(h) - 3*c(h). Determine b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 10) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11.8 - -12. Suppose w + 9*g + 1 = 4*g, -2*w - 2 = -2*g. Let z(x) = 3*x**2 - x. Let s be z(w). Put r, s, -1\/2 in decreasing order.\nAnswer: s, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81 = 6*b - 9*b + g, 0 = 2*b - 5*g - 41. Calculate the highest common factor of b and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*k = 26 + 13 + 93 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -86 - -147. Suppose -5*y + 160 - 33 = -2*f, -3*y + 5*f + h = 0. Suppose 26*m + 27 = y*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z. Let s(t) = -500*t. Give r(s(v)).\nAnswer: 500*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 18203 by 43.\nAnswer: 18203\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 12*q**2 - 660*q + 656. Give u(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 1 + (-6 - -12) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*y + 5 = 7*u - 6*u, -2*u - y = -10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 0.29 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*p - p**2 + 4*p)*((4 - 6 + 1)*(-4 + 3 + 3) - 2 + 1 - 1 + (3 + 1 - 2)*(-3 - 1 + 3)*(8 + 79 + 12)).\nAnswer: 202*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 940020.8 milligrams to nanograms.\nAnswer: 940020800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -4. Suppose 0 = -3*a + 8*a + 5*g - 20, -5*a + c*g = -36. Calculate the common denominator of 15\/14 and 788\/96 + (-2)\/a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -108707*i**4 + 112583*i**2 wrt i.\nAnswer: -2608968*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -2*t**3 + 7*t**2 + 24*t - 33. Determine v(8).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the second derivative of 5*r**4 + 23*r. Let s(c) = 2*c. Determine s(x(a)).\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-55)\/11*(-2)\/5. Suppose 0*p = 4*p. Which is the closest to p? (a) h (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 + (-1 + -30 - (-7)\/(-7)). Let t be (-3)\/(-1) - j\/(-99). What is w in 4\/9*w**2 - t*w + 4 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 0*d + 14 = -2*d, -3*r = d - 14. Is 1666\/6 + 2\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*o + 54*o + 51*o - 21*o**3 - 150*o.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjvjbvbvjjjv. What is prob of picking 1 v, 1 j, and 1 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9818, 9672, 9526, 9380, 9234, 9088?\nAnswer: 8942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/14 + 6\/105. What is the third smallest value in 1, c, 1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2270 + 2207 - (-1 + -9)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 330.2 and -0.1?\nAnswer: -33.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the first derivative of 11*h**2\/2 + 10*h - 65. Let q(r) = 13*r + 12. Let o(g) = 6*f(g) - 5*q(g). Let s(k) = 6*k**2 - 8*k. What is -8*o(m) - s(m)?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 4*n - 39 + 7, 3*n - 35 = w. List the prime factors of ((-11115)\/(-40))\/n + 6\/(-16).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 (base 6) in base 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, 8.2, 3 in descending order.\nAnswer: 8.2, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2775*l**2 + 164*l**2 - 1103*l**2 - 1837*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 5*d - 17, -d - d + 1 = 5*k. Let y = 4 + d. Suppose -4*u + 124 = -4*j, -5*j + 0*j = u - 7. What is the remainder when u is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xwxwxdmxxdxxx. Give prob of sequence xddm.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 1, -0.09, -0.2, 56.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -4363 - 7*f + f + 14*f + 4368. Let h(k) = k**3 - 7*k - 4. What is 3*h(t) + 2*m(t)?\nAnswer: 3*t**3 - 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 111, -7, -4, -3 in descending order.\nAnswer: 111, 5, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of v**3\/3 - 35*v**2\/2 - 149*v + 5962. Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 112539829\/402 - 279950. Calculate the common denominator of k and -29\/18.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8196.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be -322*2*(-4)\/16. Which is smaller: 165 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -500780, -1001548, -1502316?\nAnswer: -2003084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d**2 + 2*d - 5. Let p be w(-3). Let l be (11 + -13)\/((-1)\/p). Let q be l*3*(-3)\/(-36). Put q, -2, 7 in decreasing order.\nAnswer: 7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 14*x + 17. Let f(q) = 15*q - 107. Let g be f(8). Give u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 10029271\/10 and 1002927 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/(-1) - 1\/1. Suppose 135 = -3*x + 12*x. What are the prime factors of 65\/x - f\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*t + 10, 4*j + t - 232 = -3*t. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 3:59 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 1499*t - 5996. Let g be w(4). Solve -25*h - 262 + 362 = g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(135\/(-6)))\/((345\/2025)\/(-23))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*s + 25*s - 10*s)*((3 + 0 - 5)*(0*s - s + 0*s) + 0 + 0 + s + 21*s + 30*s - 26*s).\nAnswer: 868*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 5, 48, 6.\nAnswer: -4, 5, 6, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be 11 - -44*10\/(-40). Solve i = -300*z + 304*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002396183 to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k**3\/3 - 1552*k**2\/3 + 91316*k\/3 - 29920 = 0. What is k?\nAnswer: -440, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.4 + 232.4. Let l = 229.999771 - d. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 173937, 174418, 174889, 175344, 175777, 176182, 176553?\nAnswer: 176884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*m - 5*m = -25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 161201954 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 4 - 146. Let s(t) = 218*t**2 + 1. Let x be s(1). Let c = x + i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h + 6*h - 4*h)*(0 - h + 0 - 4*h - h + 4*h + (-2 + 2 + 1)*(3 - h - 3) - h - h + 0*h + (6 + 5 + 1)*(3*h - 116*h - 43*h)).\nAnswer: -3754*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.5 + 1.37124.\nAnswer: 1.87124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 1520*c + 2484 = 1574*c for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/6 of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 444619205?\nAnswer: 5, 31, 2868511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -2*g - w, -4*g - 3*w - 510 = -503 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -3*j + 40. Let q be c(13). Calculate the least common multiple of q\/5 - 20\/(-25) and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -0.4 (b) -3 (c) -146 (d) 0.4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2427 divided by -3\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 AM and 1:27 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 35, -19 in increasing order.\nAnswer: -19, -5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -4202.3443 to zero dps.\nAnswer: -4202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -615*z - 105*z - 5270 = -44150 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w**3 + 4*w**2 - w - 3. Suppose -n + 0*n = -5*a + 15, -4*a + 4*n = -12. Let k(u) = -u**3 + 3*u**2 - 3. Determine a*o(b) - 4*k(b).\nAnswer: -2*b**3 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*r + 408 = -252. What is the least common multiple of 385 and r?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 10 + 8 = -x, 4*x = 2*r. What is the closest to x in -0.4, 3\/5, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -3 (b) -2 (c) 1 (d) 3 (e) 1.16 (f) 215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 129639*z + 3. Calculate i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 13*f. Let d(o) = 45*o**2. Give r(d(b)).\nAnswer: 585*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 464635018 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6\/133 (b) -2208 (c) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -20.6 times -9?\nAnswer: 185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -797, 539, 4167, 11233, 22883, 40263?\nAnswer: 64519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d - g - 11 = -6*g, -2*d + 2*g = 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 12 - 9 - (0 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/3, 1, 0.043, 244.\nAnswer: 0.043, 1, 4\/3, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.19 (b) 16 (c) 1 (d) -13 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 PM and 4:03 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:45 AM and 3:42 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1992291784 to the power of 1\/2, to the nearest integer?\nAnswer: 44635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 132150077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 934049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 28*u**2 - 49*u**3 + 4*u**4 - 93*u**2 + 36*u**2 - 2*u**4 + 28*u**2 + 2*u to the form w*u**3 + b*u + z*u**4 + h + p*u**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/183872 and 115\/1248?\nAnswer: 551616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the second derivative of -g**4\/6 + 10*g**3\/3 - 13*g**2\/2 + 27*g + 25. Give i(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 288 + 131?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 67 bigger than -4.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 35, 19, 3, -13, -29, -45?\n\"Answer: -16*n + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 - -7. Suppose 6 = -h + 2*t - 4*t, 0 = -5*h - 5*t - 10. Let q(i) = -2*i - h*i + i + i. Determine q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*d**2 - 4*d**2 + 367*d + 3*d**2 + 161*d - 6948 - 120*d wrt d.\nAnswer: 4*d + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (4 - -1) + (-252)\/36288*-1260\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 9*g**3 + 2*g**2 + g. Let i be d(-3). Let f(r) = 28*r - 369. Let q be f(5). Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 74 - -27. Let a = j - -121. Let v = 345 - a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -30*j - 4. What are the prime factors of w(-3)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 78 + -88. Let v(p) = -p**2 - 19*p - 3. Is v(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 62 = -5*p. What is the smallest common multiple of 14\/(-5) - 16\/(-20) - -3 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(-1) - (0 + -7). Let v(o) be the second derivative of -2*o**3\/3 + 7*o**2\/2 + 10*o. Let r(c) = -6*c + 11. Calculate t*r(z) - 8*v(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14547 + -9311. What is the greatest common divisor of z and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2626378937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 3298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 - 2.3. Let p = -43 - -48. What is the smallest value in l, 4, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (25 + -36 - (-6 - (-1 - -6))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80*a**3 - 504*a**3 + 429*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - -1. Suppose -j*p - 171 = -1223. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15648 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21851886 to the nearest integer?\nAnswer: 4675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert b (base 12) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 + -17 - (74 + -51)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, u: 2, j: 2, x: 1, w: 1}. Give prob of sequence wx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -3556610699 and 3.11.\nAnswer: -3556610695.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -3. Let v be (1 + -1)\/(-3 - -4). Suppose -3*s + z*i = -4*i - 6599988, v = 2*s - 4*i - 4399988. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12031*n**4 + 11*n**2 - 231863*n wrt n.\nAnswer: -144372*n**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -487 - -871. Suppose 829 = 3*q + 2*u, -u + x + 169 = 2*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10*(-1)\/11*444\/(-2220).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -2898*i. Let k(q) = -2*q + 17129. What is l(k(d))?\nAnswer: 5796*d - 49639842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4 - ((8 - 12) + 273\/24 + 0) and 57\/352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2337, -4684, -7035, -9390, -11749, -14112, -16479?\nAnswer: -18850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 27\/1*(63 + -62). Suppose -o + z = -v - 3*v, -3*v + 108 = 4*o. Solve 3*n = -4*q + o, -2*n + 0 = 3*q - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1799.4 litres in millilitres?\nAnswer: 1799400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes after 3:09 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -13569 and -0.04?\nAnswer: 542.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k + 40 = 5*k. Which is the closest to 1? (a) 3\/7 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-20)\/2)\/(4\/(-8)). Suppose -3*x + 2*d - 10 = -2*x, 4*d - b = 0. Suppose x = -3*a + 5 + 1. Put 5, -4, a in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in sixteen fifteenths of a day?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - p - 2*t = 0, 2*p - 3*t - 4 = 0. Let i(c) = -73 - 6*c - 3*c + 155. Let m be i(8). Is m not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2 + 99*p + 20604.\nAnswer: -3*(p - 101)*(p + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 66705+-18642.8\nAnswer: 48062.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2 + 2\/7*i**4 - 6\/7*i + 0 - 10\/7*i**3.\nAnswer: 2*i*(i - 3)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 13*v**2 - 7*v**2 - 11*v**4 - 11*v**2 wrt v.\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1363027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(-294)*-40*-3.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/25660698 and -55\/36.\nAnswer: 153964188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -306613 less than -306666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-7)*w*w**(2\/5))\/(w**10*w**(-7)) assuming w is positive.\nAnswer: w**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 5, -6 in ascending order.\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1668211855?\nAnswer: 5, 107, 3118153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13.1 - 13. Suppose o = -0*o + 9. Suppose -o = -4*q + q. Put 0, q, w in ascending order.\nAnswer: 0, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**2 + 1 - 1)*(-1 + 0 - 2) - 2 - 2*a - 5*a**2 - 7*a**2 + 3*a**2.\nAnswer: -12*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 12116 = 452*o - 89*o + 4130 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 - 3)*(-2*n**2 - 2*n**2 + 5*n**2) + (2 - 1 + 0)*(2 - 2 + 2*n**2).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -132 - -646. Suppose 3*k = -0*k + i + 755, 2*k - o = -2*i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 - 6*f + 9. Let k be c(6). What is the greatest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 5*b = -b - 2, r = 2*b - 11. Let s = -4 - r. What is the biggest value in 0, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*x**4\/5 - 1756*x**3\/5 + 139894*x**2\/5 + 432004*x\/5 + 290352\/5 = 0. Calculate x.\nAnswer: -2, -1, 92, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2126045304?\nAnswer: 2, 3, 947, 31181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/21)\/((-29)\/174).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-85)\/(-2)*(12 + 789151\/(-65780)). Let i = m + -3\/299. What is the third smallest value in -5, -1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*l + 3*l + 3*h, 4*l - 14 = -3*h. Factor t + 4*t**2 - 2*t**2 - t**l.\nAnswer: t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26 - 2951*y**2 - 53 + 2950*y**2 + 22.\nAnswer: -y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.2 + 13.8. Let s = t - 13.2. Let j = s + -4. Which is greater: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 less than 0.06829?\nAnswer: -9.93171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -333 - -26257?\nAnswer: 25824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2992978.\nAnswer: 2, 1496489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 10860, 9779, 8698, 7617?\n\"Answer: -1081*x + 11941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, e: 10, f: 2}. Give prob of sequence ffne.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -40*k + 421. Let z(l) = -29*l + 419. Determine -2*h(p) + 3*z(p).\nAnswer: -7*p + 415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f**2 + 8*f - 9. Let w be a(7). Let r(l) = l + 4. Let c be r(w). Suppose 49 = d - 5*n + 4, -d = c*n - 73. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 290317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a5865 - 121?\nAnswer: a5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 33*(-2 + (-104)\/(-54) + 14\/(-54))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -414, -413, -412?\n\"Answer: t - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes before 1:29 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 121.2 - 91. Let s = g - 31.49. What is s rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 26*n - 11. Let t be o(-1). Is -40 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 5:37 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 328, 1300, 2920, 5188, 8104?\n\"Answer: 324*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -270 bigger than -5618.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32 + -248. Let k = 218 + y. Solve -k*d - 10 = 0, -d + 0 - 20 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 37, 1\/2, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1604 and 4?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 134151911, 268303825, 402455739, 536607653?\nAnswer: 670759567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12254 + -12254. Let x = -3.5 - -3. Let s be (2\/8)\/(3\/12). What is the third biggest value in -5, f, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 15) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3*3*(1 - -1). Suppose a = 2*b + 8. Let t be (0 - 4\/10)\/(-2). What is the third smallest value in b, t, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*s + 3*s + s + (-2 - 9 + 5)*(3 - 3 + s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) 9 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46 - 29 = -5*p. What is the greatest common factor of p and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -402032300 (base 5) to base 4\nAnswer: -12011220232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -19, -14, 31, 134, 313, 586, 971?\n\"Answer: 3*r**3 + 2*r**2 - 22*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 180931*i**2*o**4 - 9*i**2*o - 12495*i**2 + 326*i*o**2 + 2*i + 535*o - 1 wrt o.\nAnswer: 2171172*i**2*o**2 + 652*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 13*w = 8*w + 539, 4*w - 168 = -m. Let d = m + -192. Let y(k) = k + 1. Let f be y(4). Put f, d, -3 in decreasing order.\nAnswer: f, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 1, a: 2, t: 3, s: 1, n: 3, c: 3}. Give prob of sequence acnc.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 47921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.057 + -585274923?\nAnswer: -585274923.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -271*s - 2*s**4 + 4*s**4 - 4*s**3 + 270*s as l*s**3 + k + a*s**4 + q*s + h*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-2550)\/(-2975) - ((-12)\/(-24))\/(-1 - 9\/(-2))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 8:50 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 + 35 = 15*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum -5 and 1740.1716.\nAnswer: 1735.1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 361885970 and 255?\nAnswer: 1085657910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 4, w: 2, u: 6, k: 2, r: 1}. Give prob of sequence uukr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = i - 8, 4*i = 3*i + 2*x + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express p**2 - 3*p**4 - p**3 - 2*p**4 + 2*p**4 + 2*p**4 + 3*p as j*p**4 + l*p**2 + r + s*p**3 + a*p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -20.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the second derivative of -c**7\/630 + c**6\/720 + c**5\/120 - c**4 - 3*c. Let l(n) be the third derivative of x(n). Determine l(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*33.1.\nAnswer: -3.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 18 = 4*m, 6*u - 24 = 2*m + 2*u. Let x = m - -9. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**2\/7 - 225*d\/7 - 2958\/7.\nAnswer: -3*(d + 17)*(d + 58)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the second derivative of -b**5\/60 + b**4\/18 - b**3\/18 - 7*b. Factor a(q).\nAnswer: -q*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -52 + 52. Which is the closest to u? (a) 5 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 6*h + 31. Let w(s) = s - 3. Let i(c) = -f(c) + 4*w(c). Let l = 16 + -37. Let o be i(l). Is o > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 890*y + 2. Let j(z) = 3*z**2. What is g(j(o))?\nAnswer: 2670*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q**2 + 69*q + 34*q**3 - 67*q + 0*q**2.\nAnswer: 34*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -11*i**3 + 2*i**2 + 61*i + 7. Let j(w) = 5*w**3 - w**2 - 31*w - 3. Give 3*a(g) + 7*j(g).\nAnswer: 2*g**3 - g**2 - 34*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -57, -84, -129, -192, -273, -372, -489?\n\"Answer: -9*b**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -2*a**2. Let j(b) = 0 - 3 - 1 + 6 - 7*b. Calculate j(f(w)).\nAnswer: 14*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -166*z - 847 = -45*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 138867000 and 32?\nAnswer: 555468000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddw when three letters picked without replacement from {v: 4, w: 7, d: 2}?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -618326, -618346, -618366, -618386, -618406, -618426?\nAnswer: -618446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 2*q - 103. What is j(20)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (5 + (4*sqrt(245)*2)**2 - (-2 + 4 + sqrt(245) + 1)**2))*3.\nAnswer: -126*sqrt(5) + 46299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 6831203 (base 11) to base 6\nAnswer: 1104225305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 5*w**2 - 6*w + 6. Let l(z) be the first derivative of z**3\/3 - z**2\/2 + z - 7. Let k(r) = g(r) - 6*l(r). Let i(t) = 5*t**2. Calculate -i(h) - 4*k(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i - 11. Let c be r(6). Let j be (-2)\/10 - 21\/c. What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(128)\/sqrt(4))\/(sqrt(64) - sqrt(64)*1 - sqrt(16)\/sqrt(16)))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 299*p - 303*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/42 and 73\/858.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 331 - 13?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 2196 by -3.\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 0, -2\/7, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p**2 - 397*p - 260. Determine b(-198).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-181 + 1*-1)*4086\/(-4767). What is the highest common divisor of v and 2904?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 910?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = i + 3*i. Suppose 3*j + 3*k = i*k - 14, -12 = 2*j + 2*k. Let a be 29\/(-12) + (-3)\/j. Are 1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 - 99*b + 6. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 155155907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/1 + (-1 - (-274)\/22) + 48\/(-264).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of 0 + 1\/210*m**7 + 0*m**6 - 39*m**2 - 23\/6*m**3 + 0*m**5 + 0*m**4 + 0*m. Differentiate i(v) wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-7)\/3)\/((-1)\/(-3)). Let o = 20 + a. Let b = 27 - o. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8078849.26 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-11820))\/(-25*10\/5000).\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 487573 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 2*l + 1087*l**3 - 580*l**3 - 797*l**3 + (-l**2 - 4*l + 4*l)*(-2*l + 3*l + 38 - 47) as z*l**2 + a*l + w + i*l**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -41 bigger than -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -80 divided by 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1 (b) -5\/4 (c) -0.9 (d) 0.9 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**2. Let t(n) = -n**3 - n**2 + 4*n + 3. Let x be t(-3). Suppose -6*p = -x*p. Let b(q) = -q + p*q - 4*q. Give b(d(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 12.3018 to 2 decimal places.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 - -1 - (-22 + 17)) + -10 + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j - 12. Let z be l(8). Suppose -z*i = 3*x + 15, 5*i = -x + 2 - 18. Let k(a) be the first derivative of -a**3\/3 + a**2\/2 + a - 6. Give k(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 75, 127, 163, 177, 163?\n\"Answer: -p**3 - 2*p**2 + 65*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t - 1. Let p(y) = y. Suppose 3*d + 5*o + 13 = 0, -2 = -4*d - 2*o + 4. Let c be 165\/35 + d\/14. What is c*p(u) + 3*h(u)?\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**2 + 11*y - 16. Suppose 0 = -x - 3*x + 24. Let r be (14\/x)\/(1\/3). Does 3 divide n(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/43? (a) 1\/8 (b) -0.1 (c) -2 (d) 2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 29070051 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, z: 1, h: 5, i: 7, q: 2}. What is prob of sequence hh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -45\/914 and -41.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 + 8*j**2 - 31*j + 21. Determine c(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 4*w = 9*w - 1415, 1424 = -4*u - 4*w. Which is smaller: -362 or u?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127227 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 23\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.16 - -23.16. Let c = -0.85 - 58.15. Let w = -59.1 - c. Put x, -4, w in decreasing order.\nAnswer: x, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (-40 + 21 + 14)) + -48.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 11. Let v(a) = 3 + 0 + 1. Let z(x) = 2*x - 14. Let w be z(11). Let q(y) = w*v(y) - 3*d(y). Let h(n) = -n - 6. What is -h(b) + 5*q(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*r - 1007 = r - 839 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 + 1. Let h be z\/1*16\/(-32). Which is the second biggest value? (a) 5\/6 (b) h (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-528)\/308*49\/(-3) is divided by 679\/35 + (-4)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -37500086*m**2 - 62601246*m?\nAnswer: -75000172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -57*f - 1657. Calculate k(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - u - 4*u - 22, 5*k - 14 = -3*u. Suppose 0 = 5*h - 8 - 12, -5*a = k*h + 4. What is the closest to -0.01 in -2\/7, a, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)*1*2)\/((sqrt(44) - sqrt(44)*-2)\/sqrt(11)) - (sqrt(76) - (sqrt(76) - ((-2*sqrt(76) - sqrt(76)) + sqrt(76)))*-3)\/(sqrt(80)\/sqrt(5)))**2.\nAnswer: 3211\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are -1276349010 and -1276349010 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(187) + sqrt(187))*3)\/(sqrt(539)*2))**2.\nAnswer: 1377\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25 + -29 + 4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 15240 by -12.\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6 plus 14238.32937?\nAnswer: 14236.72937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be 20\/25*20\/8. Let k(r) = -4*r + 6*r - 3*r + r**w. Let p(g) = -5*g**3 - 4*g**2 + 4*g. Give -4*k(l) - p(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 91*x + 358. Let d(s) = 9*s + 36. Give -21*d(t) + 2*r(t).\nAnswer: -7*t - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + (sqrt(1700) - 2*sqrt(1700))*-4)*5)**2 - (-1 + 4 + (sqrt(833) + 3 + sqrt(833)*1)**2).\nAnswer: 5916*sqrt(17) + 676881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 5*g**3 + 380*g**2 - 795*g - 1170 = 0.\nAnswer: -78, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 454 minutes before 3:47 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put together -10603325714038 and -1.6.\nAnswer: -10603325714039.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 97645 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 120 and 132?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13467064 and 5179640?\nAnswer: 67335320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*o - 354*o = -188*o + 579*o - 34944 for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-19 - 2) + (109 - 90)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 282547 is divided by 31388?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1010*q*r**2*w**2 - 3818*q*w**3 + 536*r**2*w**3 - 447*r**2*w**2 - 13*r*w wrt q.\nAnswer: -1010*r**2*w**2 - 3818*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(605)*3*5 + 6*sqrt(605)*-3*-6)*1)**2.\nAnswer: 2401245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (6*((3*sqrt(156)*-2 - sqrt(156)) + (sqrt(156) - sqrt(156)*-1)*-3)\/(3*6*sqrt(192)*5))**2.\nAnswer: 16597\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/((2\/12)\/(10\/(-4))). Suppose -5 = -c*q + 16*q. Sort 5, q, 1 in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 PM and 11:35 PM?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = 5*o - 199. Let q = o - 12. Suppose q*p + 8 = 6*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -71*d**3 + 12*d**2 + 3*d + 1. Let y(p) = 72*p**3 - 8*p**2 - 2*p - 1. Determine 2*r(a) + 3*y(a).\nAnswer: 74*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = -8*u + 2*k - 19, -2*u + 4*k = -2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 1398228340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0 + -5 + 3 + (6 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 42105, 42086, 42057, 42012, 41945, 41850?\n\"Answer: -m**3 + m**2 - 15*m + 42120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10396 or -10395?\nAnswer: -10395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, q: 3}. What is prob of sequence pqqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of 23*q**5\/20 + q**4\/6 - q**2\/2 - q + 65. Determine k(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 divided by 70?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 1110 divide 18511114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Put 5, 2\/7, -66\/17, -86, -0.04 in decreasing order.\nAnswer: 5, 2\/7, -0.04, -66\/17, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1062a6 + -3?\nAnswer: 1062a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 4*g - 10. Suppose 5*f - 13 = 2. What are the prime factors of o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -253 - -585. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 420 and 16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 6*c**2 + c - 4. Let s(i) = -i**3 + i + 1. Suppose 0*x = -5*x - 5. Let p(n) = x*u(n) + s(n). List the prime factors of p(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 127788009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 312659075183797\/205436 + -16741222085\/11. Let f = m + -1297\/23. Let b = -1\/116 - f. What is the nearest to -2 in -0.2, 0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 - 4*p**2 + 7*p + 9. Suppose 11*h + 63 = -3. Is 7 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -68*p**4 - p**3 - p**2 + p. Let l(n) = 6778*n**4 - 3*n**3 - 3*n**2 + 3*n + 4635. Let q(a) = -3*b(a) + l(a). What is the derivative of q(m) wrt m?\nAnswer: 27928*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 272723591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 47 and 3807?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 30*d**3 - 12*d**2 wrt d.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wz when two letters picked without replacement from wyjzw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t and 1 v when four letters picked without replacement from tbvzvtvivbvzbitv?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tpp when three letters picked without replacement from {t: 5, p: 14}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + -69 + 20 + 33.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 5*b + 57*b**2 + b + b**4 + 7 - 5*b - 3*b**3 - 56*b**2 as k*b**3 + z*b + m*b**2 + r + f*b**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -163 (base 8) in base 14?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 3*w, -4*w - 19 + 4 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 AM and 3:35 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9 + 677*v - 677*v + 2*v**4 with respect to v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*a - 2*a. Let o(w) = 2*w. Let t be o(a). Does 10 divide (-118)\/(-8) + (-1)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 3026 = 2*y, 4*p - 5*y + 3044 = 15154. Suppose -55 + p = -17*a. Is -174 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zrl when three letters picked without replacement from yrfyklzr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence khff when four letters picked without replacement from ekhkffjkfhkkhjffk.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0.058 times 2.1\nAnswer: 0.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -48815458 by -48815458.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1773*-0.1\nAnswer: -177.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/(-3 + -1 + 392\/112). Let g = -2.2 + 1.3. Let f = -0.8 - g. What is the closest to f in 3, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 10:34 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8605 and 31053?\nAnswer: 267211065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 189 - 611 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -51 + 96. Let r = 1 + p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 + (5 - (-3 + 8))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 376940 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + o**2 + 2*o + 4. Let c be f(0). Suppose -6*m - 1 = -4*p - 3*m, 26 = 4*p + 2*m. Solve -4*d + 8 = c*a, 0*a - p*d = -3*a - 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 220 - 112002202?\nAnswer: -112001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5.7421 + 0.7421. What is the fifth biggest value in 0.2, -3, n, -12\/19, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-5)\/(1650\/365) + 0. Let l = 14\/11 + u. Let a = 14\/5 + -33\/10. What is the nearest to a in l, -4\/3, 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s + 3757 = -66*m - 0*s, m + 2*s = -67 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-1*sqrt(684) + -4 - (2 + sqrt(684))*4)**2.\nAnswer: -68976 - 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -952?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 43 = -4*y + 4*r, 4*r + 77 = 5*y. Suppose y*c = 13*c + 252. Suppose -3*f + 3 + c = 0. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 13*g - 214. Give n(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2410.05202 - -0.05202. Let f = c - -2409.5169. Let m = 0.48 + f. What is m rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 718*m + 40652*m**2 + 712*m - 1430*m in the form y*m**2 + b + w*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -3*p. Let d be (0 + -4)\/(-19 + 17). Let o be d\/1 + 2 + p. Solve -9 - 3 = -o*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -45 (b) -335 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -16 - 6. Let j be (672\/(-77))\/(-4) - (-4)\/o. Put -2, -18, 1, j in ascending order.\nAnswer: -18, -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*v**2 - 49*v**2 - 34*v**2 + 1 + v**2 - 1 + (-4 + 0 + 2)*(0*v**2 + v**2 + 2*v**2))*(3*v**2 + 2*v**2 - 7*v**2).\nAnswer: 192*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*x + 55*x = 238 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -8 - 38201166?\nAnswer: -38201175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**16\/q*(q**(2\/29)\/q*q)\/q*(q*q\/(q\/q**17))\/q**11 assuming q is positive.\nAnswer: q**(611\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 515679730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -177612 + 61809041\/348. What is the common denominator of 53\/312 and b?\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k**3 - 22*k**2 + 21*k - 53. Give d(21).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -8294914*w + 1 - 1 + 8298257*w in the form j + x*w and give x.\nAnswer: 3343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/7 - (-33)\/7. Suppose -30 = 5*r + l. Let b = -4 - r. Solve b*y + 10 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**2 - 9*j - 37. Let v be c(13). What is the highest common divisor of v and 1920?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7425\/3150*(-1)\/(-11)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2986 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bww when three letters picked without replacement from {b: 8, s: 5, w: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*3 + 14\/2. Suppose a = 5*r - 26. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.919 and -3.796?\nAnswer: -3.488524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5639\/11 or -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 4*m + 19 = 1, 4*c - 4*m = -8. Factor -5*q**c - 5*q**3 + 45*q - 14*q - 21*q.\nAnswer: -5*q*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17420316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 62537 is divided by 2762?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-460)\/1495)\/(124\/(-26)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 525 and 168?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/3*2*(26 - 32). Suppose -o*d - 1064 = -12*d. What is the greatest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -195496324*a**4\/5 - 195580216*a**3\/5 + 390908747*a**2\/5 + 33555*a + 18\/5 = 0.\nAnswer: -2, -3\/13982, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 4. Suppose -i - 12 = 12. Let b be (-1)\/a - i\/12. Solve b*f = 5*f - 5*o - 19, -5*o = f + 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -187 - -107. Let w = -79.987 - r. Round w to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*o - 3*o - 60. Suppose 0 = 5*l + o + 25. Let d(b) = b + 23. What is the units digit of d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12030*z**3 - 920*z**3 - 17134*z**3.\nAnswer: -30084*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -6*a**2 + 13*a**2 - 30*a**2 + 6 + 4*a**2 - 6 + (-4 - a + 4)*(2*a - a - 3*a).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -932 + 966. Suppose -w = w. Suppose -3*z + c + 290 = w. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -12*n**3*u**3 - 36*n**3*u**2 + 11506*n**3*u*x + 2*n*u**3*x with respect to x.\nAnswer: 11506*n**3*u + 2*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2*r**2 - 2*r - 10. What is k(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1125, -1113, -1087, -1041, -969?\n\"Answer: g**3 + g**2 + 2*g - 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 96541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 185\/104 - 13\/8. Let x = -197 - -191.92. Let p = x + 0.08. Which is the closest to 0.1? (a) 5 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00072962806 to six decimal places.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5416 + -5417. What is the third biggest value in 0.4, -737, j?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 15 = 0, 458 = -5*c - 2*o - 92. Let p be 2 - (-22)\/(-10) - c\/35. Solve l = -2*q - q - 12, -3*q = -p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 169*d + 192*d - 2*q = 376*d + 80, q - 45 = 5*d - 2*q for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3707*n + 8028 = -3038*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -21 - -26. Let f = 0 + 3. Suppose 3*p = -f*m + 147, -4*m - p + 202 = -3*p. What is the greatest common divisor of m and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/7*182\/39.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, -231198, -1 in decreasing order.\nAnswer: 11, -1, -231198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-1*((-2*(1 + sqrt(7)))**2 - sqrt(7)).\nAnswer: -64 - 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 3769?\nAnswer: 22614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 136*y - 4602 = -39*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2004, 15 in decreasing order.\nAnswer: 2004, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -111401 (base 5) to base 6\nAnswer: -30224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/(-2 - (-4 - -3)). Let j(w) = -2*w**2 + 7*w - 1. Let b(p) = -p**2. Let q(d) = 3*b(d) - j(d). Determine q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6 - 3 - -50 - 42\/14. Let x be 580\/(-12) - 2\/3. Let r be x\/(-5) - (-4)\/20. Calculate the highest common divisor of r and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-13)\/(-3) - (-1)\/(-3). Suppose 15 = -5*p, 3*v - 188 = -v - d*p. Suppose -5*r + v = -0*r + 5*g, -3*r - g + 20 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28 - (-16 + -9)) + 18\/(-12)*(-58)\/(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10695 divided by 75.\nAnswer: -713\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**2\/3 - 36*w + 486.\nAnswer: 2*(w - 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a - 16978*p + 328 = -16970*p, -183 = -3*a - 5*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/497448 and 111\/10?\nAnswer: 2487240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tth when three letters picked without replacement from {t: 1, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, v: 1, c: 2, n: 2}. What is prob of sequence nnv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y**4 + 5916*y**3 + 1263436*y**2 + 83762016*y + 41565888 = 0. What is y?\nAnswer: -427, -156, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2073 + -2070. Let u(c) be the first derivative of 0*c + 0*c**2 - 8\/3*c**m + 4\/5*c**5 - c**4 + 27. Suppose u(r) = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 x, and 1 i when three letters picked without replacement from xcnxxicxqnxcxcicxc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 377 (b) 148 (c) 0.2 (d) 153 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -325*i - 1177 + 3539 = -2559 - 929 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l - 8 = 6*l. Suppose -l*a = 2*o - 186, 392 = 3*o - 4*a + 93. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 3, -5, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 + 9*z**2 - 16*z**2 + 9*z**2 to l*z + k*z**2 + q and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 9*3.1\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 554916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, f: 7, u: 4, k: 1, y: 1, o: 3}. What is prob of picking 1 f, 1 n, and 1 u?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 0 + 4 + 7 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8.3 + 8. Let t = 0.55 - -0.15. Let w = t - 0.7. Are n and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, 53, 145, 273, 437?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/9*(-3)\/7. Let v = 254 - 143. Let s = -111.1 + v. Sort s, -0.3, w.\nAnswer: -0.3, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 6. Suppose -v = -5*n + 4*v + 25, -3*n - 13 = 4*v. Solve -2*a - 2*y = 12, 3*a - q = 3*y + n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 228021 + -227987.0147. Let w = p + -34.29. Let y = -0.0137 - w. What is y rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -485, -484, -483, -482, -481, -480?\n\"Answer: g - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*a - 479 = 41 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 326738 (base 9) in base 11?\nAnswer: 123766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41582.\nAnswer: 2, 17, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 20 = -4*z, -3*b = -5*z + 4*z - 20. Let t be 45\/b*(-1)\/(-6). What is the nearest to -2\/7 in t, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 20 = -x. Let s be ((-1)\/((-1)\/(-2)))\/(18\/81). Let v be s\/2 - (-2)\/(-4). Put x, v, 1 in increasing order.\nAnswer: v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61467 is divided by 15366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -8*u**2 + 3*u + 1. Let v be g(2). Let o be -3 + 5\/(v\/(-30)). Solve -o = 4*n + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21596.\nAnswer: 2, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r + 1. Let u(p) = -p**3 + 10*p**2 - 18*p + 11. Let x be u(8). Let g(k) = 4*k + 3. Determine x*h(b) + g(b).\nAnswer: 9*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(15) - sqrt(90)\/sqrt(6)))\/(sqrt(36)\/(sqrt(108)\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.104*-30\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -6.27986636 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39756?\nAnswer: 2, 3, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -244*r - 965. Let n be p(-4). Solve 4*k = -14*a + 19*a + 30, -3*a + k = n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a - 3*a**2 + 9359*a**3 - 18704*a**3 + 74 + 9342*a**3 in the form r*a**2 + m*a**3 + q + j*a and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -849 + 845. Which is the smallest value? (a) 32 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 222531 is divided by 5563?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + 1. Let x = -1 - f. Let r be 2 + 1\/((-20)\/38). Which is the third smallest value? (a) x (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in -0.2, 2\/5, 2\/11, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -2305989.\nAnswer: 5\/2305989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(275))**2 + 5 + -2*2*sqrt(891).\nAnswer: -36*sqrt(11) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 126 minutes after 7:25 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(1\/4)\/(i\/i**(-1\/9)))**(-7)\/((i\/(i*i*i**(2\/7)))**(9\/5)\/(i*i**4*(((i\/(i\/(i\/(i*i\/(i*i\/i**(-1\/11)*i)))))\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(172321\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (48*f**4 - 5*f**4 - 12*f**3 + 12*f**3)*(-16*f - 7 + 7).\nAnswer: -688*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 1710.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-27)\/(-24)*88\/66).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 253 - 249. Let t be (0 + 0)\/(0 + 2). Factor 2*j**5 + 2*j**4 + t*j**x - j**4 + j**4.\nAnswer: 2*j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25.35 + 0.65. What is the closest to -1\/3 in h, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes after 12:01 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + -148?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -2 + (1 + sqrt(3200))**2 - (sqrt(3200)*1 + 5 + -4).\nAnswer: 40*sqrt(2) + 3194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than 162889630379?\nAnswer: 162889630379.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*x + m, 26 = 4*x - m - m. Solve 0 = -x*a - 5 + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 + 22. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73344301.\nAnswer: 1747, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/32 and (-10)\/175*5 + 377\/168.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -26. Let r be (104\/10)\/((-5)\/d). Let c = 89 + r. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -16*g**3 - 3*g**2 - g. Give o(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.3*-67495804\nAnswer: 20248741.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 116140 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 - 2. Suppose -3*p - 15 = v, 5*k = 3*p + 2*p - 45. Calculate the remainder when 20 is divided by (k\/6)\/((-5)\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15201 is divided by 310.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 6969, 6970, 6971, 6972?\n\"Answer: m + 6968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k. Let q(p) = 13*p**2 - 27*p**2 + 6*p**2. What is q(u(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of -487*m**5\/20 - m**4\/4 - 15*m**3\/2 + 884*m**2. Find the second derivative of k(p) wrt p.\nAnswer: -2922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-6 + 0 + 2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and 25?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07 times -62?\nAnswer: 4.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (((3 + sqrt(2057) - sqrt(2057)) + 3)**2 - (0 + -3*sqrt(2057))) + -5.\nAnswer: 33 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 3 - 1 - 8*i - 1. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 11242, 11238, 11230, 11218, 11202, 11182?\n\"Answer: -2*w**2 + 2*w + 11242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -4. Let x = 3 - -2. Let n = f + x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 10) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -12*b**2 - 8*b**2 + 28 - b**3 - 12*b + 43*b**2. What are the prime factors of o(22)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwsssw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 - 10. Let z be 21\/f*(-13 - -1). What is the common denominator of 67\/10 and 0 + (-44)\/z - 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2524, 4640, 6748, 8842, 10916, 12964, 14980?\n\"Answer: -h**3 + 2*h**2 + 2117*h + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-26)\/(-39)*-33*(1 - 47).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39 <= 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 28 = 5*i, -2*i = 5*g - 9*g + 24. Let z(q) = 3 + g*q + 2*q - 21*q + 20*q. Let k(r) = -r. Calculate k(z(s)).\nAnswer: -5*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 346570.\nAnswer: 2, 5, 7, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be (982\/(-9))\/((-30)\/135). Let z = x + -489. Solve 0 = -z*i + 3 - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*p + 84909 = 21*p. What is p rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 77\/117 and -35\/2392.\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1328089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = -156 + 160. Calculate the lowest common multiple of 14 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 2.420605ml?\nAnswer: 0.002420605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 818*f**3*k**2*z + 2*f**3*p*z**2 + 2*f**3*p - 8*f**2*k**2*z**2 - 7*f**2*k*p - k*z - 7*p*z**2 - 2*p wrt f.\nAnswer: 4908*k**2*z + 12*p*z**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 678878703 and 8631.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -11 (b) -1.4 (c) -5 (d) 4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 3 = 2*z. What is the units digit of ((-27)\/6)\/(z\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3.2, 1, -4 in increasing order.\nAnswer: -4, -3.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 149\/19152 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4632674 is divided by 520.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -2*o - o. Suppose -15*a + 2 = -13*a, 5*p - 155 = -5*a. Calculate the lowest common multiple of o and p.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 3 - 5)*(-50*w - 28*w + 28*w)*(16 - 2*w - 16)*(3*w**3 + 0*w + 0*w).\nAnswer: 300*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 22660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from bqrrrqqkqb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b**3 + 15*b**2 + 15. Let p(q) = -q**3 - 7*q**2 - 8. Let x(w) = 6*c(w) + 13*p(w). Determine x(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1254*b**2 - 120*b - 367 + 1087 - 1249*b**2.\nAnswer: 5*(b - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.1, -0.3, -4, 2\/499?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 419 - 632. Is 3*(-6)\/9 - h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (-19 - -10 - (1 + 0)) + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 - 28*n - 51. What is g(-25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*l + 4*l + l)*(-35325 + 35325 - 162*l)*(-3 - 1 + 5) to u*l**2 + o*l + q and give u.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - -2 - 3 - -1 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 + q**2 - 5*q - 7. Let a be y(5). Let h = 272 - a. Let v = h - 208. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -51199\/10 - -5127. What is the common denominator of 37\/4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that -z**2\/7 - 67*z\/7 + 360\/7 = 0.\nAnswer: -72, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 - -19. Suppose z = -2*o - 9. Let h be ((-4)\/o)\/(0 + 1\/(-2)). Is h bigger than 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 PM and 1:55 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -4*d**3 + 3*d - 7. Suppose -85*j + 48 = -69*j. Let g(v) = -3*v**3 + 2*v - 6. What is j*g(i) - 2*p(i)?\nAnswer: -i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in fourty-one halves of a millennium?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (94\/6 - -2)\/(-36 - 3173873\/(-88164)). Round c to the nearest 100.\nAnswer: -50200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -5*c**4\/24 - 10*c**3 - 180*c**2 - 65*c - 19. Let f(l) be the first derivative of r(l). Factor f(y).\nAnswer: -5*(y + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 72\/(-18)*1*1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4978357977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -14955, -59805, -134565, -239235?\n\"Answer: -14955*j**2 + 15*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29\/28 + (132\/(-16))\/11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + (11 - (18 + -6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i + 11. Calculate z(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15962 - -15974. Suppose 5*k - 2*g - 8 = 0, 3*g = 4*k - 2 - 3. Suppose 0 = 3*f + k*l - 4, -2*l = f - 3*l - 3. Solve 0 = 5*b + s - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 3*q**3 - 1255*q**2 + 6*q + 2. Let a(m) = -17*m**3 + 6277*m**2 - 33*m - 11. Calculate -2*a(b) - 11*y(b).\nAnswer: b**3 + 1251*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from trrttxtdxxtttdt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 - 60*i - 857. What is p(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.05 (b) -2\/9 (c) 2 (d) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be -2 - (0 + 1)*-7. Let u = 2 + p. Suppose -2 = d - u. Solve -6*q = -5*l - q + d, -4*q = 2*l + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 8*n**2 + n - 10. Does 10 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -2*a**5 + 766*a**4 - 68080*a**3 - 1031920*a**2 + 1232352*a + 2195424 = 0.\nAnswer: -14, -1, 2, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 + -9. Suppose 1 + s = -4*b. Which is smaller: 5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -115719 + 3451*p**3 + 115719.\nAnswer: 3451*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5572 and 2660.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**4 + 13368*g**3 + 4*g**2 - 53472*g.\nAnswer: -g*(g - 13368)*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1352 - -70301\/52. Let s = f + -37\/260. What is the smallest value in s, -2\/13, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of 38*t**3\/3 - 3*t**2\/2 + 3*t - 1. Is s(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*q - 2*q + 2*s - 12, 0 = q - 4*s + 4. Let h be (-368)\/36 + -1*q\/(-18). Let a(y) = -3*y - 5. Let n(u) = 8*u + 16. Give h*a(w) - 3*n(w).\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 32956407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 130300 = 14*u. Let s = 33130 - u. Round s to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -36\/313 + 11099\/1252. Factor 5\/4*u**4 - 15*u + 20*u**2 + 0 - b*u**3.\nAnswer: 5*u*(u - 3)*(u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94832 is divided by 15800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the third derivative of c**6\/600 + 9*c**5\/100 + 17*c**4\/40 + 5*c**3\/6 - 338*c**2. Find q such that s(q) = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*k + 2*k**2 - 3*k - 2*k**2 + 3*k**4 wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c - 2*c + 12. Let t(w) = -w**2. Let p(d) = 4*d**2 + d - 1. Determine c*t(q) - 2*p(q).\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-794)\/(-18) - 1\/9. Let d = -85 + 53. Let k = j + d. Is 1\/4 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23 - 16.5. Round s to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x - 58 + 64 = 0. Suppose -x*t - 2 = 4. Let l(s) = s**2 - s - 3. Determine l(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 + 42. What is the remainder when 241 is divided by l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292044188 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -12, -43, -92, -165, -268, -407, -588, -817?\n\"Answer: -c**3 - 3*c**2 - 15*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -46 + 61. Let j be 54*8\/(g + 1). Calculate the highest common divisor of j and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 2474*d**2 - 7*d - 9. Suppose -a = 0, -6 = 4*k - 3*a + 2. Is m(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 6*y + 32. Let c be h(-6). Sort -3, c, 1, 9 in increasing order.\nAnswer: c, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*t**2 + 12*t**2 + 17*t**3 - 5*t**3 + 0*t**2.\nAnswer: 12*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 97*r**3 - 2*r**2 + r. Let c be k(1). Suppose 0 = 13*g - 127 - 3. Suppose -6*h - c = -g*h. Solve -3*x + p = -4, -5*p + 4 = -x + h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7569 + -7460. Solve -s = -6*v - 73 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 4*(5 - 1417\/286) - 6612\/8778\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3978*f = -3948*f - 4470. What is the remainder when f is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*g = -43*g - 533. Suppose 31*h + g = -21. Let l = -4 - -6. What is the third biggest value in l, 51, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -616676*p**3 + 308340*p**3 + 308346*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-4))**(-9) assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -6*x**2 - 2*x - 1. Let b be o(-2). What is the tens digit of (-41100)\/(-140) - 9\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -29 - -55. Calculate the lowest common multiple of 8 and h.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zlan when four letters picked without replacement from {n: 1, i: 1, l: 2, a: 1, c: 2, z: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -25545158 rounded to the nearest ten thousand?\nAnswer: -25550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25 - 3. Suppose -r + x + 3 = 4, 0 = r - 3*x + 11. Suppose -5*h + r = -3*g + 2*g, 3*h = 4*g - 1. Solve -5*m - g = 4*c - l, -3*m - 5*c + 23 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 1:51 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n**2 + 31432*n + 20454688 = 0. Calculate n.\nAnswer: -7142, -716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7795170 and 1080.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29294 is divided by 84?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 165\/14 + -268\/7. Calculate the common denominator of j and (-4)\/8 + 98\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-2))\/u)\/u**(-1\/5)*u\/((u*(u*(u*u**7\/u)\/u)\/u)\/u)*u*u**(-4)*u*(u**(-1))**(-40)*u*u*u**(-7)\/u*u*u\/u**(2\/11) assuming u is positive.\nAnswer: u**(1706\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x + 2. Let r(o) = -o**2. Let t = 5 - 13. Let p be t\/(-12)*27\/2. Suppose -3*l + 4*l = 3*y + 1, 3*y = 3*l - p. Determine y*k(j) - 2*r(j).\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 122375746 to the power of 1\/2, to the nearest integer?\nAnswer: 11062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6968 = -18*g + 862. Solve 12 = 432*j - g*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15143.\nAnswer: 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -66488460 times 0.3\nAnswer: -19946538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kqqgqggqqgqqqqgggqq. Give prob of sequence qg.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 5. Suppose 2*b - 22 = h. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d**(1\/2)*(d\/((d*d**27)\/d*d))\/d*(d**(2\/3))**(-2\/25) assuming d is positive.\nAnswer: d**(-3983\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1\/3 - 0)\/1. Let p be 1 + (-6)\/(42\/5). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-21 - 5 - 40 - b + 3 - 3 - b + (306 - 306 - 38*b)*(1 - 3 + 4))*(0 + 0 - b) to d*b**2 + o*b + v and give d.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 812\/(-5859) - 348\/(-5394)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*o = 28*o - 19*o + 710 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zsvd when four letters picked without replacement from {s: 1, z: 2, d: 6, m: 1, y: 4, v: 1}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 607, 606, 605, 604?\n\"Answer: -f + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 61.3 + -60.943. Let u = j + 4.643. Which is the third smallest value? (a) -1\/10 (b) -10\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 635866 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -291.7 + 292. What is the closest to b in 2\/5, 1, 5\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 s, and 2 i when four letters picked without replacement from {b: 4, i: 9, s: 1}?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 13 = 4*i. Suppose s = 4*t - 2199, -i*s + 20 = s. Let b = t + -374. What are the prime factors of b?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -112 + 191. Suppose -102 = -3*d + v, -b - 29 = -3*d - v. Suppose f + f = -5*k + d, 0 = -2*f + 10. What is the nearest to 1 in 2, -1\/8, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*n**3 + n**3 + 11*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6680 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*i + 1454101 - 123637 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9000 - -9002. Solve -u*j - 16 = 3*m - m, 19 = -5*m + 2*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k\/k**11))\/k**(9\/2) assuming k is positive.\nAnswer: k**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 0 + sqrt(891) + 0)**2*-1.\nAnswer: -892 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -n - 4*n. Suppose 0 = -n*y - 3*y + 15. Factor -2*j**y + j - 16*j**4 + j**5 + 16*j**4.\nAnswer: j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**2 - 8*r + 10. Let l be x(7). Suppose -l*q + 6*q = 0. Which is the nearest to q? (a) -3 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + -35 + (12 - 19 - -10).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 7 = -1. Find the third derivative of 5 + 0 - l**h - 5 - 11*l**3 wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -179 - -181. What is the third derivative of 125 + k**2 + 3*k**3 - 60 - 64 - 2*k**4 - 4*k**x wrt k?\nAnswer: -48*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3732560 by 57424.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let 6\/7 - 3\/7*r**3 + 15\/7*r - 3\/7*r**4 + 9\/7*r**2 = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 134 = -5*p - 65, 0 = 5*s + 3*p - 343. Let f(m) = -s*m + 33*m + 34*m. Determine f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 12 = 4*g. Suppose -4*x = 2*b - g, -3*x = -2*b - b + 6. Suppose -6 = -i + 2*j, -j = b*i + 2*i + 3. Which is bigger: i or -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - f + 0 = 65, -4*g - 108 = -4*f. Suppose -2*l + 33 = -n, n + 19 + 24 = -3*l. Let p = g - n. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 6:38 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 150 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 16796505?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 38 - 39. Let l(a) = -4*a**2 + 11*a + 11. Give l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -j - 4*j + 5*z = -10, 10 = -4*j + 10*z - 6 + 60 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*g + 6 = 48 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o**4\/3 - 24*o**3 - 36340*o**2\/3 = 0. Calculate o.\nAnswer: -158, 0, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 620*g**2 - 13*g + 85*g**4 - 88*g**4 - 4*g**6 + 12*g wrt g?\nAnswer: -480*g**3 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(7\/3)\/r*r*(r*r\/(r*r**(-14)\/r))\/r)**(3\/10)*(r*r**(1\/18)*r**(-11)*r)**(3\/17) assuming r is positive.\nAnswer: r**(1847\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 3*i - 4. Let v(d) = -d**3 + 7*d**2 - 2*d + 13. Let l be v(7). Let f(m) = m - 1. Give l*h(k) + 4*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 39 divided by 27\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Subtract 944515.713 from -15.063.\nAnswer: -944530.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pifu when four letters picked without replacement from {u: 1, v: 6, i: 2, f: 2, p: 3}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**3 - 3876*y**2 + 2233000*y.\nAnswer: -4*y*(y - 406)*(y + 1375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*c + 19*c - 1634 = -16*c - 2804 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8190 is divided by 409.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -431*d + 416*d + 75 = 0. Put 843, d, -2, 1 in increasing order.\nAnswer: -2, 1, d, 843","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*a**3 + 4 - 3 - 1.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ztcc. What is prob of picking 1 t, 1 c, and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-150)\/(-8) - 5\/(-20). Suppose -29 = -4*z + y. What is the highest common divisor of 132 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = 3246*o - 3244*o - 5*z, -2 = -3*o - 5*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3587*o - 121 + 1004 = -3540*o - 1326 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 + 4. Calculate the remainder when 35 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(144)\/sqrt(2) + sqrt(18) - sqrt(1458)*3.\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from ywwk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42131.\nAnswer: 42131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -92*m. Let i(f) = 7*f + 15. Let l(q) = q + 3. Let j(o) = i(o) - 5*l(o). What is j(h(c))?\nAnswer: -184*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.04338? (a) 1 (b) 19\/2 (c) -0.1 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 934944.5ml to litres.\nAnswer: 934.9445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51 is divided by (1 + 2)\/(93\/198 + (-6)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 2 = -3, 0 = 2*v - 4*h. What is the remainder when 13 is divided by (15\/(-12))\/(v\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19436312293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 11:15 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 539781 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 129249365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**2. Let c(z) = -z**2 + 648*z. What is c(o(j))?\nAnswer: -j**4 + 648*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7640 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2\/2997 - 180817\/2997. Let i = d - -61. Let u = -208 + 212. Which is the second smallest value? (a) i (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qi when two letters picked without replacement from {i: 3, q: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 36*t - 17. Give q(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1096 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -42313*g + 549972. Determine k(13).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -j**3*q - 18*j**3*t**2 - 231*j**3*t + 773*j**2*q + 924*j*q*t**3 + 16*j*q*t**2 - j wrt t.\nAnswer: -36*j**3 + 5544*j*q*t + 32*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 70 = -71 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6c - -1?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 88, 157, 226, 295, 364?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*j**5 + j**2 - j**2 - 11*j**3 + 3*j**3 + j**5 + 2*j**3 + (-2*j**3 + j**3 - 4*j**3)*(-3*j**2 + 0*j**2 + 2*j**2).\nAnswer: 4*j**5 - 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2 + 3 + 0)*(4*x**2 - x**2 - x**2) - 2 + 2 + 4*x**2)*(-621*x - 35*x + 231*x) as z*x + l + s*x**2 + o*x**3 and give o.\nAnswer: -2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -1 + (-9 - -6) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.09 - 0.09. Suppose -2*h = -12*h + 10. Let j = -9 + 4. What is the closest to h in o, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2417946397 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3827129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4\/5, -1, -0.76, 2\/7, 1\/4, -47?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 6189, 4030, 1871, -288?\n\"Answer: -2159*t + 8348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 463153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 229*a**3 - 2*a - 892?\nAnswer: 687*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 32 = 2*o - 4*o, 84*p + 106 = o - 88*p + 181*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 4 = 11. Solve 3*n = a*x, -3*n = 1 + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/11, 1652, 1.29.\nAnswer: -2\/11, 1.29, 1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24633\/16607 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*t**2 + 575*t**3 - 12*t**2 + 1365*t**3.\nAnswer: 1940*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 8 - 2*t**4 + 2*t**2 - 1488*t + 698*t - t**3 + 1 + 980*t as m*t + x*t**4 + l*t**2 + u*t**3 + r and give m.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7055 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 327036166?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1799*-0.5.\nAnswer: -899.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t + 36 + 3 + 23. Let i be r(18). Calculate the highest common factor of 396 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 + 9*l**2 - 8*l + 3. Suppose 30 = 5*r - 4*d - 22, 0 = 2*r + d - 13. Let a be c(r). Solve 6*h = -z + 5*h - 6, 2 = a*z - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11 and 4059?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 39282\/731 or 54?\nAnswer: 39282\/731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:09 AM and 3:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -3*q - 2. Let k be v(-2). Suppose 0*p - 44 = -k*p. Let h = 33 + -13. Calculate the remainder when h is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -6*f + 27. Let d be p(4). Let l(h) be the third derivative of 0*h + 6*h**2 + 0 - 1\/27*h**d + 1\/270*h**5 - 1\/540*h**6 + 1\/108*h**4. Factor l(v).\nAnswer: -2*(v - 1)**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 286 a factor of 108132393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -3*l, -22 = -4*r + l - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 5*(sqrt(162)*-1 - sqrt(162))**2 + (sqrt(162) - (0 + sqrt(162))) + 2)*-3 + 5.\nAnswer: -9736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*y - y + 6*y - 900 = -2*y for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5\/(-1))\/((-10)\/4). Suppose -4 = c*b - 8. Let p(f) = -4*f**2 - f + 5. Suppose 31 - 11 = 4*w. Let i(z) = 2*z**2 - 2. Determine b*p(o) + w*i(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -15722*f = -15724*f - 3*u - 87, -63 = 3*f + 2*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 38530747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/r**(2\/11)))\/r*r\/(r*r*r*r**(1\/3)*r))\/(r*r**(1\/2)*r)**19*((r\/r**(2\/17))\/(r**(5\/2)*r*r))\/(r\/(r**(-1)\/r)*r)**29 assuming r is positive.\nAnswer: r**(-96082\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1703 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.119 - 4.119. Let j = 0 + 0. Let t be 2\/3 - 46\/24. What is the closest to r in t, 1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, z: 7, x: 1, v: 5, i: 5, f: 1}. What is prob of picking 2 i and 2 z?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 870 - 971?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 33 - 25. Let u be (-227)\/(2\/v*2). Let q = u + 639. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, -1, 115, 1, -3, 6 in decreasing order.\nAnswer: 115, 6, 5, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3864*o**2*t + o*t + 2*o - 808*t - 1 wrt o.\nAnswer: 7728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*g**5 - 44*g**3 - 294*g**2.\nAnswer: 240*g**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of 0*i**2 + 1\/2*i**4 + 2 + 0*i**3 + 3*i. What is the derivative of l(q) wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w - 1. Let l(k) = k**3 + 4*k**2 - k - 2. Let a be l(-3). Suppose -a = -0*x + 5*x. Determine n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3061 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/(-38)*(-1028)\/(-1799)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/7 or 272\/2911415?\nAnswer: 272\/2911415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2.2162 - -0.2162. Let t = 143\/12 + -45\/4. Which is the nearest to -1? (a) t (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q - 13. Let n be d(6). Let b(p) = 14*p. Determine b(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 4523*i**2 - 21*i - 3. Let t(f) = 185442*f**2 - 868*f - 124. Give -3*t(c) + 124*y(c).\nAnswer: 4526*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 139 divided by -768?\nAnswer: -139\/768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7\/2409 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the third derivative of -i**5\/30 + i**4\/6 - i**3\/3 - 8*i**2. Factor v(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/(-84))\/((-1)\/(6\/(-2))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 36 = -5*s, s - 7 = d + 1. Let y(i) be the third derivative of -i**5\/60 + 5*i**4\/24 - 5*i**3\/6 + 11*i**2. Determine y(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -123 + 129. Let g(x) = x**3 - 6*x**2 + 6*x - 20. What is the lowest common multiple of g(u) and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 102*z - 49512 - 49526 + 99038.\nAnswer: 102*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12.6 - 4593.\nAnswer: -4605.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 15*y**2 + 5*y - 7. Let k be z(3). Let r = k - 66. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158 is divided by -2*(-64)\/(-10)*(-15)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ugtutohbbbuttgb. Give prob of sequence bh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -21 - -20. Let q be (2 - 1)\/(b\/(-5)). Suppose i - 4*v - 36 = -2*v, 1 = i + q*v. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17991\/11 + 1 + 876\/(-1606).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27678367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 12365455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 11, x: 2, w: 4, y: 2}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -1199*l - 2223*l + 36 - 71 + 35 + 2*l - l + 0*l + (-5 + 1 + 2)*(3*l + 0*l - 2*l).\nAnswer: -3423*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 13 - 1155845220325.7\nAnswer: -1155845220312.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 212 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s - 278*r - 70 = -273*r, -4*r + 17 = -13*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149*c + 134*c + 43065 = 0. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32 + -28. Let s(k) be the third derivative of -k**4\/24 + k**3\/2 + 554*k**2 + 1. Give s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j + 9. Let n be r(0). Solve 5*u + n + 16 = 0, 0 = d - 2*u - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - -8 - -1 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 329*v - 345*v + 224 = 0. Solve v*y = 8 + 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from guqgqqlquqggulwq. What is prob of picking 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -3*f**3 + f**2. Let t be (10\/8)\/(7\/84). Suppose 0 = -3*h + w, -7*w + t = -2*w. Give j(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 36702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -3*x + 1 + 2, -3*j + 2 = -2*x. Let f(v) be the third derivative of -v**5\/60 + 5*v**4\/24 - 5*v**3\/6 - 2*v**2. What is f(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1481 and 354009.\nAnswer: 524287329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/1*(-2)\/(-4)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 78*v**2. Let t(l) = 31*l**2. Let b(h) = -5*g(h) + 13*t(h). Let j(f) = -7*f**2. Give -3*b(q) - 5*j(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/c**(-4\/15)))**(-4\/15) assuming c is positive.\nAnswer: c**(16\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 50998932\nAnswer: -1\/16999644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 62717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 44 - 40. Suppose r*d - 4 = 2*d. Suppose 3*i - 68 = -i - d*p, i + 5*p = 8. Calculate the remainder when 86 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -20*t**2. Let c(s) = -73*s. Give c(o(h)).\nAnswer: 1460*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 12 = 4*j. Solve k + 25 = 5*o + j*k, 0 = -k + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1387 - 1378. Let c be (13 + -14)\/(-5 + 42\/f). Factor 0 + 0*k**c + 0*k + 4\/7*k**2 - 1\/7*k**4.\nAnswer: -k**2*(k - 2)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6.729 or -136?\nAnswer: 6.729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 23 divided by -709?\nAnswer: -23\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 172 minutes before 4:39 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the third derivative of -j**5\/40 - j**4\/12 - j**3\/3 + 2*j**2. Let y(g) be the first derivative of c(g). Determine y(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3158468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -7*x**3 - 17*x**2 + 2*x - 3. Let r(j) = 3*j**3 + 8*j**2 - j + 1. Let z(f) = 2*i(f) + 5*r(f). Let w be z(-6). Solve -w*g + 13 + 7 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12 - (0\/(-1) - -2). Suppose 4*b = 3*x + 5, -4*x - b + 40 = 3*b. Suppose 0 = x*y - 175 - 25. Calculate the highest common divisor of y and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -6 - 11) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 31, 14, -5 in ascending order.\nAnswer: -5, 1, 14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2522602 or -2522604?\nAnswer: -2522602","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let b = -377345 - -377349. Suppose -o - 5 = -0. Sort 73, 2, o, b in decreasing order.\nAnswer: 73, b, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {b: 2, v: 2, p: 3, x: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -2153554 (base 7) to base 15.\nAnswer: -5399d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 6*o**2 + 0*o**2 - 4*o**2. Let b(r) be the third derivative of 3*r**2 - 1\/24*r**4 + 0*r**3 + 0 + 0*r. What is w(b(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(-24) + ((-603)\/(-24) - 3). Let v be 19\/7 - z\/(-77). Solve 2*a = -v*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 238933, 955475, 2149713, 3821647, 5971277?\n\"Answer: 238848*b**2 - 2*b + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -78 - -38. Suppose 14 = 5*o + 4*a, -5 + 6 = a. Let d be (-7 + o)*c\/25. Which is bigger: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79614336 not equal to 79614342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2*h**2. Let t(s) = 4*s - 1078. Give t(z(b)).\nAnswer: 8*b**2 - 1078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 449864\/(-11671) + 40 + 0?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the first derivative of 3*g**2 + 25. Let z(w) = 3*w. Let h(f) = -4*f - 2. Let r be h(-2). What is r*i(t) - 13*z(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify h\/(h\/h**3*h)*(h*(h\/h**3)\/h)\/h*h**6\/(h\/(h\/((h\/(h*(h*h**(-2\/7)\/h)\/h*h))\/h))) assuming h is positive.\nAnswer: h**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 2\/27, 1, 5\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1392 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q + 1. Let y be l(-7). Let o(x) = -2*x - 12. Let h be o(y). Suppose 31*t - 32*t = h. Solve t*i - 26 = -i - 5*g, -4*i + 9 = g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-3 + (sqrt(19) - sqrt(152)\/sqrt(8)) - sqrt(19))**2.\nAnswer: 26 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 76 = 2*w, 20*u - 42*u = -3*w - 110. Solve 7*g + g = w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 310\/3565 - 232\/(-1564).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 8:35 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 64476*l**2 - 23459*l?\nAnswer: 128952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 47 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42681 = -12*c + 9999. Suppose c + 1880 = 15*x. Calculate the highest common divisor of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 45, -5 in descending order.\nAnswer: 45, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4154, -8082, -12044, -16040, -20070, -24134?\nAnswer: -28232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 108 or 328\/3?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180*j + 178*j + 286 = 0. Suppose j = 13*u - 3601. Calculate the highest common divisor of u and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 6.777113 decades?\nAnswer: 0.06777113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g**3 + 15*g**2 - g - 8. Let y be w(15). Let a = 26 + y. Solve -23*j**2 - j**2 + 6*j - a*j**2 + 21*j**3 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(78)\/sqrt(6) - sqrt(91)\/sqrt(7)*1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**3 + k**3 + k**3 + (5*k**2 - k**2 - 2*k**2)*(-20*k - 30*k + 9*k).\nAnswer: -81*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the third derivative of -37*x**6\/24 + 27*x**3\/2 + x**2 - 7*x. Differentiate i(r) wrt r.\nAnswer: -555*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d - 1. Let r be ((-1)\/(-3))\/((-1)\/(-6)). Let y(x) = -x**2 + 2*x + 2. Let p(j) = r*f(j) + y(j). Let l(z) = 9*z**2 + 7 + 1 - 8. What is l(p(o))?\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 9.04992l in millilitres?\nAnswer: 9049.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y**5 - 920*y**4 + 49996*y**3 + 342616*y**2 - 488048*y - 779744 = 0. Calculate y.\nAnswer: -7, -1, 2, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1021 is divided by 83.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 128148 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-28)\/12 - -3) + 11\/(-3). Let y be ((-3)\/i)\/((-2)\/8) + 80. Solve 4*m - y + 92 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:06 AM and 9:16 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**5 - n**5 - n**5 + (-2*n**4 - 3*n + 3*n)*(-n + 2*n + n).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1200493 and 427021.\nAnswer: 8057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.155 + -0.025. Put 2\/15, -3, l, -1 in ascending order.\nAnswer: -3, -1, l, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1133*v = 993*v + 1540. Solve 742*s - 745*s = f - v, f = -s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -339*w + 340*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 4, z: 7, f: 7}. Give prob of picking 1 f and 2 i.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1005118466 + -94.\nAnswer: -1005118560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13334 - 1654987*q - 13334.\nAnswer: -1654987*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 195, 415, 661, 933?\n\"Answer: 13*t**2 + 181*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 32\/18 - (-42)\/189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/54*6\/(-4). Suppose -9*q - 16 = 2. Which is the second smallest value? (a) n (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96382242?\nAnswer: 2, 3, 11, 47, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*g - 1235 = -59*g. What is the highest common factor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19, -44, -75, -112?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*4\/2*1\/(-7). Suppose -4*m + l + 24 = -0*m, -3*m = 4*l - 18. Suppose m*h + 10 = -14. Put 4\/7, w, h, 1\/4 in descending order.\nAnswer: 4\/7, w, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 400000151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -24433.5 + 24433. Which is the nearest to -2? (a) z (b) -126 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 26759, 58461, 90163, 121865, 153567, 185269?\n\"Answer: 31702*g - 4943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 14692 = 15*u + 14692 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000371876 to 7 decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 26\/4437 - 118141\/221850. Find the common denominator of t and 37\/213.\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d*d**(-2)*d)\/((d*(d*d**(-5))\/d)\/d))\/(d\/(d*(d**1*d)\/d))**(-35))**(-2\/29))**(-1\/20) assuming d is positive.\nAnswer: d**(-3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -56 + 136. What is the highest common factor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + -4. Suppose -4 = -2*u - 18. Let p = -6 - u. Sort p, -3, f in increasing order.\nAnswer: -3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*j + 31*j - 13*j - 902 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 41 - 14 = 4*k, 4*a - 3 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 418.9184 millilitres in litres?\nAnswer: 0.4189184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from teeyoebeeeybeotey. Give prob of picking 1 e and 1 o.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 4529 by 647.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 55*t - 55*t + 5*t**2 + 1 + t**2 - 1 + (t - 2*t - t)*(4 + 2*t - 4) + t**2 - 2 + 2 - 3*t + 3*t - t**2 + 19 - 19 - 5*t**2 to s + m*t**2 + y*t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 404500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 496 times 4\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1804326 times -0.1\nAnswer: 180432.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be -3*3\/9 + -15. Let g = i - -18. Suppose 2*s - 56 = -g*s. Solve n + 3*u + 3 = -s, n + 4*u = -21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 64602314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 56641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(24)*2*6)\/(-2*sqrt(12)*-1 - sqrt(12)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in 74, 19\/81, 0.5, -8, -3\/7, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -8 + 2*t + 8 + 0. Let f(v) = v**2 + v + 1. Suppose -4*a - 4 = -2*a. Let z(q) = 16*q**2 + 2*q + 2. Let x(p) = a*f(p) + z(p). What is x(c(m))?\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -158 + 1026. Calculate the lowest common multiple of w and ((-59)\/((-9558)\/180) + 164\/(-99))*-11.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 317222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 0*k = -2*i + 898, 3*i - 4*k - 1347 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -674.4874 + -0.1126. What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 25 = -27, 8 = y + 3*j. Suppose 0 = 5*i - v - 21, 0*i - 3*v + 2 = -2*i. Let t = i + 0. Is t <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4372827 is divided by 139?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 129\/3460996 and -47\/290840.\nAnswer: 34609960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1732388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-132)\/(-242))\/((-954)\/4664*(-30)\/(-5)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of -2*p**2 + 0*p + 3*p - 4 + 0 + 0*p**2. Find the first derivative of o(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38276 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 237*y - 276*y = 429 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 18252 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3431 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 128 = -2*m - 130, -2*m + 16 = 2*k. Calculate the remainder when 6182 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 7848\/(-2596) - (-4 - -1). Let v = -62683\/11682 + l. Find the common denominator of v and 65\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of -3*a**3 - 2*a**2 - 1345*a. Let k(y) = -54*y - 11. Give -6*k(t) + 17*n(t).\nAnswer: 18*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.14 and 326186616624.\nAnswer: 326186616624.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*s + 104*s - 96*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*m - 0*m. Let l be 3\/6*(-2)\/m. Let v = 103\/66 + -5\/22. What is the closest to l in -2\/9, v, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12.752768 + 0.249332. Let n = -13 + j. What is n rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.9 - 1.9. Put -3, 2, p in decreasing order.\nAnswer: p, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5622361\/98 - 57370. Let m = -1113 + 11117\/10. Calculate the common denominator of f and m.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20727535405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - -6. Let b be 6\/z*2\/4. Are b and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 356*l - 324. Calculate j(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 2*v. Let g = 10 - 2. Let a = g - 6. Let n(y) = -y - a + 2. What is r(n(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -49*i*v**5 - 2*i*v**2 + i*v + 15*v wrt v?\nAnswer: -980*i*v**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - -1. Let k = 7061 + -7061. Solve -s - 3 + k = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**2 + 5*s - 751. Let z be r(-30). Let v = -6782 + 4520. What are the prime factors of v\/(-29) - (0 + (0 - z))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4 + (-13)\/(39\/(-198)). Let r(k) = -k + 1. Let v be r(-2). Suppose 95 = 4*j + m, -v*j - m = -0*m - i. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -482*v**2 + 8191*v**2 - 1541*v**2 - 6243 + 1546 wrt v.\nAnswer: 12336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.8, 0.15, -1921, 5, 0.091?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/12074604 and 121\/84.\nAnswer: 84522228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 38098000 to the nearest one hundred thousand.\nAnswer: 38100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from frffffff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -82 and -254855.\nAnswer: 20898110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**2 + 11*n - 97. Determine j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/21, -0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 - (-2 - (-3 + 0)). Let p be (-34)\/(-8) + k\/4. Let j = 10 + p. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137 is divided by 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64531.\nAnswer: 47, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3 + 8*m + 5. Let c be j(3). Put 4, -5, c, -8 in increasing order.\nAnswer: -8, -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 8 - 6*p**5 - 8 + (-3*p**4 - p**4 - 575*p + 554*p)*(-2*p + 3*p - 2*p - 3*p + 2*p + 0*p + (0 - 4 + 2)*(-3 + 2*p + 3) + 0 + 0 + 2*p).\nAnswer: 10*p**5 + 84*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of 2*d**3\/3 - 3*d**2\/2 + 8. Let m be t(4). Which is the second smallest value? (a) 0.4 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (3 + -6 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**3 + 86*u**2 - 688*u - 4256.\nAnswer: -2*(u - 28)*(u - 19)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 2, b: 11, g: 6}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -4*f**3 - 33768*f**2 + 33772*f = 0.\nAnswer: -8443, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -1b8 (base 12) to base 10.\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -5027*g + 75. What is j(0)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -2*c**2. Let h(j) = -j - 7. Let x(m) = -5*m - 9. Let i(g) = -g - 1. Let s(a) = 4*i(a) - x(a). Let z(t) = 5*h(t) + 7*s(t). Give d(z(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2579, -10289, -23123, -41069, -64115, -92249, -125459, -163733?\nAnswer: -207059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, -229, 0, -4 in decreasing order.\nAnswer: 5, 4, 0, -4, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -483, -969, -1461, -1959, -2463, -2973, -3489?\n\"Answer: -3*t**2 - 477*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from iqjjjqqqqjiqjjiiq?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 76 = -56, 0 = 2*f + 5*a - 3400. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16112 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 4*w**3 + 47*w**2 - 12*w + 2. Let s be y(-12). Suppose -2*l + 3*v = -785, l + s*v - v - 390 = 0. What are the prime factors of l?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.026231 to four dps.\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -382 = r - 4*j - 404, 2*j + 8 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -23039890*i*v**3 + 587*i*v**2 - 94*i*v - i - 2*v**2 wrt v?\nAnswer: -138239340*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*r + 15 = 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - 28. Let y = -32 - q. Let g be (8 + 1 - (y - -1)) + 2. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 362161 + -1?\nAnswer: 362160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 213826 = 3239*g - 126269 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -5*t**3 - 2*t**2 + 4*t - 6. Let s(f) = 10*f**3 + 4*f**2 - 7*f + 11. Calculate -7*i(r) - 4*s(r).\nAnswer: -5*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + i = 315. Let f be ((1 - -22) + -2)\/1. Suppose -7*v + f*v - 504 = 0. What is the remainder when i is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + 4)\/(-1) - 3. Let u(t) = -t**3 - 7*t**2 + 5. Let m be u(o). Let k(d) = 2*d - m*d + 2*d. Let p(b) = -7*b**2. Give p(k(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -8. Let k = -488 + 487.8. Which is the nearest to 1? (a) -3.1 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express m**3 + 3 - 19*m**2 - 45*m**2 + 7 + 13 - 17 as x*m + b*m**2 + l + i*m**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 48*n**2 - 11*n + 22. Let r(s) = -9*s**2 + 2*s - 4. Let g(y) = -6*o(y) - 33*r(y). Let t(h) = 9*h**2 + 6*h**2 + 6*h**2 - 12*h**2. What is t(g(d))?\nAnswer: 729*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 272 = -32*u + 1296. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n. Let j(b) = -2652459*b. What is t(j(c))?\nAnswer: -2652459*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75*r**3 - 167*r**3 + 79*r**3 + 121*r**3.\nAnswer: 108*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6*-8*2\/(-12). Let c = -368 + 376. What is the highest common divisor of h and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -97, -105, -125, -163, -225, -317?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5b28 (base 13) in base 16?\nAnswer: -324e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/((308\/21)\/(-22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = -6*r - 27, -482*r = -498*r - 64 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 23 = -a, -4*a - 22 = -3*q - 15. Let u(m) = 2*m**3 - 11*m**2 + 7*m - 1. Calculate u(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 9*i + 20 = 4*p, 0 = -6*i - 24. Which is the biggest value? (a) p (b) -4 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.287 + 41.513. Let t = -41.53 - 0.47. Let d = t + n. Is d bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-15))**(17\/3)\/((l**10*l*l)\/l**(6\/11)) assuming l is positive.\nAnswer: l**(-1061\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 82*q + 10457. Give v(-129).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1*(4 + 1 + -2). Suppose 2*x - 31 = 5. Solve 2*i + 3*i - 24 = -q, 3*q - o*i + x = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2*u - 19. Calculate i(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 take away -0.0863?\nAnswer: -3.9137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 114816030, 114816028, 114816026, 114816024, 114816022, 114816020?\n\"Answer: -2*z + 114816032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.005207 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -11*u**2 + 0 - u + 0. Suppose -5*b + 2288 = 6*b. Let f = 207 - b. What is t(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the first derivative of -1099*p**3\/3 - 383*p**2\/2 - 3*p + 7288. Find the second derivative of u(n) wrt n.\nAnswer: -2198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 19\/13 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 100198048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 - 1)*(-y - 5*y + 10*y)*(-1 - 2 + 1) + 1 - 1 + 2*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.01 and 0.2?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the third derivative of m**5\/15 - m**4\/8 - 5*m**3\/6 - 784*m**2 - 2*m. Suppose y = 3*c + 1, -4*c + 10 + 19 = 3*y. What is the hundreds digit of g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 69\/4 + 15\/20. Let f(g) = -g**2 + 22*g - 45. Calculate the remainder when 133 is divided by f(d).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -17 + 68 + -35 - -29.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*z - 11*z = -2*i + 23, -4*z + 42 = -2*i. Let a be (5\/3 + -1)*3. What is the third derivative of -10*p**2 - p**4 + z*p**a - 3*p**4 wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate -723 - 3997008.\nAnswer: -3997731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (11 + 9 - 17)*(-3*v + 5 - 5) - 2 + 2 + 2*v + 3*v - v - 4*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 2*x - 630, -5*n - 2*x + 3*x + 784 = 0. Let m = -75 + n. Is 41 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/8 + 1\/2. Let x = 709.06 + -704.06. Let i = -0.21 + 0.01. Which is the closest to -1? (a) x (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 366*u + 66564 + 26326 = -2867*u - 3402*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 238780 to the nearest one thousand.\nAnswer: 239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0.05, -444, -4\/9 in decreasing order.\nAnswer: 0.05, -4\/9, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*q + 76 = 3*y - 13*q, 0 = -y + 4*q + 12. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*x + 2826 = -22*x. Let b = -458 - x. Solve -29 = 4*r - b, 3*m - 5 = -r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15159656 and 55400.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-6\/17)*q*q**(-27)*q assuming q is positive.\nAnswer: q**(-431\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001903 to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -31? (a) 5 (b) 3\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - (-2)\/4*2. Let l be 3 - 0*5\/10. Let z(t) = -7. Let n(g) = 5. Let h(p) = l*z(p) + 4*n(p). Let w(c) = -c - 2. Calculate j*w(b) - 3*h(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-75)\/(-120)*(-4)\/6*(-10)\/25.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -93 - -221. Suppose 7*m + c = 3*m. Let j = m + 48. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -6832 (base 15) to base 9\nAnswer: -33272","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*w - 5*w + 46*w to the form i*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*t - 35 = -39*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -185 + -82010?\nAnswer: -82195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Do 0.32 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1302, -10136, -34088, -80712, -157562, -272192, -432156?\n\"Answer: -1259*s**3 - 5*s**2 - 6*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + 22 + -5 + (1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/4*(-7 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**2*a**(2\/7)*a**3\/(a\/(a**(-1\/2)*a)) assuming a is positive.\nAnswer: a**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 + -9. Let h = 3.5 + q. Let k = 0.4 - h. Is 1 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69958573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that 2*a**4\/3 - 18*a**3 - 122*a**2\/3 + 58*a = 0.\nAnswer: -3, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(125) - sqrt(125)*-2)*2 + sqrt(125))**2*-6.\nAnswer: -36754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -536.1 + 536. What is the nearest to -1 in -21, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32 - 50 + 20 + 13*g.\nAnswer: 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -246*d - 5908 = -668*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes after 6:23 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.39 + 1.51. Let h = c + -2. Put h, -1\/4, 0.5 in decreasing order.\nAnswer: 0.5, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of -j**7\/70 - 11*j**3\/3 + 25*j**2 - 10. Let a(n) be the second derivative of q(n). Find the first derivative of a(p) wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 + 13 = 2*l. Suppose -5*a + 35 = 5*p, a - 4*p = p - l. Differentiate x**3 - x**3 - 2 - a*x**3 wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -86, -142, -168, -152, -82, 54?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8252 - -1277. Let t = -3380 - m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 (base 13) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15635.3 + 15634.32113. What is u rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 PM and 11:07 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -431 (base 5) to base 2.\nAnswer: -1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-4*(sqrt(45) - sqrt(45)*2) - sqrt(45) - (1 + sqrt(45) + 3) - (2 + -2*(sqrt(5) - (1 + sqrt(5))*4))))**2.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/3857058 and 46\/21?\nAnswer: 26999406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 26 at most 933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -y + 9*y + 279 - 407 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 3*i**2 + 621*i + 17283. Determine z(-168).\nAnswer: -2373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 62417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 + 4*y**2 + y - 2. Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5) - sqrt(5)*-1*4 - -1*sqrt(605))**2*5 + -4*(sqrt(45)\/(2*sqrt(9)) + sqrt(5))*2)*-6 + -4.\nAnswer: -38404 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 952*m**2 - 4*m - 8. Let p(x) = -397935*x**2 + 1673*x + 3346. Calculate -1673*h(g) - 4*p(g).\nAnswer: -956*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes before 12:52 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 4*f - 2*w - 45, 2*f - 5*w = 35. Find the third derivative of 10*d**5 + 4*d**5 - 2*d**2 - 10*d**f wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the second derivative of -3*c**4\/16 + 25*c**3\/2 + 11554*c. Factor k(w).\nAnswer: -3*w*(3*w - 100)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 936 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -38.7 smaller than -11344\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1 take away 63661?\nAnswer: -63662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, f: 1, l: 2, a: 2, s: 2, r: 1}. What is prob of picking 2 s and 1 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = -4 + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 12*b**2 - 12. Let f(u) = 2*u - 18. Let t be f(7). Let j be x(t). What is the greatest common divisor of j and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6318 - -44224\/7. What is the nearest to -145 in b, -5, 5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (16\/3)\/(4\/(-15000)). Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31518 + 288008 = 4*l - 2*b, -192372 = -3*l - 3*b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 + s**2. Let n(c) = -6*c**3 + 18*c**2 + 7*c - 41. Let h(t) = 5*d(t) - n(t). Is h(24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 12*v**2 - 6719 + 2*v**2 - 6742 + 13490 as h*v + r*v**2 + b and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 a when three letters picked without replacement from akssssssgsasss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -458097, -916077, -1374057, -1832037?\nAnswer: -2290017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 83\/((-4980)\/450)*(-4)\/(-3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -3*q**3 - 14*q**2 - 13*q + 19. Let n be y(-9). Round n to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -87*x + 34*x + 54*x - 105 as i*x + u and give u.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -88*p**2 + 13*p**2 - 47*p**2 + 13*p**2 to z*p**2 + b*p + w and give z.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 4*k - 4 = 4*n, -4*n - k = 16. Let t = 3 + -9. Which is the biggest value? (a) n (b) -2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1959510 is divided by 2703.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4\/6)\/(2\/(-3)). Let d be (u + (-3 - -4))*-1. Let f(c) = c**3 + c**2 - 2*c - 620. Let t be f(d). Round t to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 5*s = 50, 1157*z + s + 30 = 1162*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * -795192\nAnswer: 159038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**2 + 18*b + 28. Let h be g(-13). Let t = h + 41. What is the second derivative of l**4 - t*l**4 - 10 + 10 - 12*l wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/8520 and 43\/6390?\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -129 + 73?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x + x - 6. Let n(i) = i**2 + 6. Let r(u) = -3 - 5 + 7. Calculate x*n(f) + 11*r(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w + 0 + 4 - 11 + 11.\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 6*w + 21*w + 1857 - 1876. What is the remainder when l(7) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 3*s = 0, 7*s = 3*v + 2*s. Let h be -1 - -3 - v - -2. Suppose -h*u + 98 = -2*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 3 = -3*m + 1, -3*m + 5*c = -16. Suppose 4*n - m*n - 1 = -r, -5*r = -4*n + 9. Calculate the lowest common multiple of (3 + -1)\/(2 - 0) and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.67321614 from -5.\nAnswer: -5.67321614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*t**2 + 36*t**3 - t**2 + 2*t**2 + 24*t**3.\nAnswer: 60*t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 631 + 2*d**3 + 654 - 1285 - d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 145367*x + 872252. Determine j(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 21 (base 3) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/(-48))\/(7\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 192 and -21 + 183484\/644 + (-4)\/(-46).\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 162\/355 + -4\/71. Let w(p) = p - 1. Let h be w(-1). Let k be 0 - (5 + h - 1). What is the third smallest value in k, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*l + s + 66, 4*s - 54506 = -2*l - 54462 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 10065 = -4*d, 4*g + 10351 = 5*d - 29846. Let l be (-2)\/5 + g\/(-45). Let n = -11577 - l. What is n rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/5 - 27960\/(-75). Let i = -370 + n. Sort -2, 240, -3, i in decreasing order.\nAnswer: 240, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**3 + 14*s**2 + 22*s - 16. Calculate r(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 30240 by 1890.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(5\/6))**(-4\/17) assuming z is positive.\nAnswer: z**(-10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 108 + 5?\nAnswer: 10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 0*q**2 + 0 - 2*q**2 + 0. Let s(m) = 6*m**2 + 2*m. Determine s(f(u)).\nAnswer: 24*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12098311958 - 4*g**3 - 12098311958 + 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) 1.3 (c) -1181 (d) 2\/17 (e) 3 (f) 10 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-18*u - 32*u + u)*(-5 + 5 - u**3) to q*u**4 + r*u + n*u**2 + i + h*u**3 and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/20 and -37\/1910.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -1 + m**2 - 8*m - m + 5. Let l be p(7). Let f = l - -13. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*-0.1422.\nAnswer: -0.1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 4103123 (base 5) to base 15.\nAnswer: 14878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 736*x - 5331 = 4681 + 24244 + 15792 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 AM and 4:58 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 - 11*y**2 + y - 17. Let q(o) = -o**2 + 33*o - 39. Let l be q(24). Let i be 5\/25 - l\/(-15). List the prime factors of b(i).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 591261 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -7489 = -1261*g - 31448 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (20 + (-7 - 2) - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(5\/2)\/h)\/(h*h**0)*((h*((h*h**23\/h*h*h)\/h)\/h)\/h)\/h**24 assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23330 is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 705\/212 - 110\/53. Which is the closest to q? (a) -5 (b) -1 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -102 times 0.06\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/8 of a century in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 30910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -674009 = -3*p - 70*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -44*z + 41*z - 3, h - 2*z = 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 3*j - 340 = 0, 2*j + j - 680 = -4*w. Let m = w + -97. Calculate the remainder when m is divided by ((-40)\/8)\/((-1)\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 4}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14 + -10. Suppose 5*w - 10 = -5*v, s*v + 0*w + 5*w = 10. Suppose 39 = 4*h + 3*m, 5*h = 3*m - 1006 + 994. Solve 8*y = 3*y - 15, v = -4*p + h*y - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 0 - 1)*(-1415*d - 1420*d + 2817*d - 1).\nAnswer: -90*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-3)*54\/(-1). Let i be (z\/(-5))\/(2\/(-5)). Find the third derivative of -i*p**3 + p**2 + 9*p**3 + 9*p**4 wrt p.\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + s + 79, 5*o = -s + 199 - 98. Solve 24*b - o = 19*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 3370539?\nAnswer: 13482156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 9480 - 9479.94. Which is the biggest value? (a) 37 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 4*k + k)*(-128522*k + 304*k**2 + 128522*k).\nAnswer: -304*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 3 s when four letters picked without replacement from {r: 6, s: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.03 - 0.37. Let g be (-2 + 64\/12)*6. Let o = -23 + g. What is the second smallest value in o, i, 0.21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -3*o + 123, 4*o + c = 7*o - 123. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m + 15. Suppose -2*y = 10*y - 180. Let z be o(y). Is z != 9\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -166 times -121\nAnswer: 20086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-3)\/(69\/46))\/6. What is the nearest to s in -6\/13, -42, 5\/3?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -42) + (-31 + 11 - (-71 - -52))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 0.5, -5\/2, 2\/141, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 23202 (base 6) in base 9?\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:47 AM and 12:18 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 4*g = -5*g + 75, 2*l + 4*g = 40. Let o = l - 5. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -53 - -60. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 2 (b) -1\/4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 4*k**3 - k**2 + 36*k - 2. Let m(i) = -2*i**3 - 35*i + 2. Determine -3*m(q) - 2*o(q).\nAnswer: -2*q**3 + 2*q**2 + 33*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 6*m**2 + 7*m - 13. Calculate c(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -788436 divided by -6\nAnswer: 131406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 93, 520, 1143, 1962, 2977?\n\"Answer: 98*o**2 + 133*o - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1185893 or 1185896?\nAnswer: 1185896","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2, 1, 171, 0.5, -13, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 1734023 (base 8) to base 13.\nAnswer: 149346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 600596 and 636?\nAnswer: 1801788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 84 = -9*l + t, -3*l = 3*t - 54. Calculate the remainder when (40 + 10\/2)\/((-9)\/(-12)) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1559 - 16396?\nAnswer: -17955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2, 3, -165.3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -69315 by 11.\nAnswer: -69315\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 30239 and 30657.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 263 (b) -11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -22.89 - 1.51. Let b = 44.5 - i. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 3*r**3 - 3*r**2 - 7*r + 4. Let t(k) = -4*k - 3 + 4*k + 2*k**2 - 2*k**3 + 5*k. Let w = 31 + -36. Determine w*b(d) - 7*t(d).\nAnswer: -d**3 + d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.194409 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 - 40 = n. Let o = n - -198. What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6353.5 - -6353. What is the nearest to -0.1 in -0.3, 0.2, i, -9\/14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*o**2 - 29*o**2 + 12*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m = -3*q + q + 28, m + 10 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 112562460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 409343.\nAnswer: 11, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(48) + (-3 + sqrt(15)\/sqrt(5))**2.\nAnswer: -2*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -2*l**3 - 4*l**2 + 3*l + 10. Let y be b(-2). Let r(o) = 3*o**2 - 2*o. Let k(p) = p**2 - p. Give y*r(n) - 9*k(n).\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 10701442 times -6?\nAnswer: -64208652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c\/(c\/(c**6\/c)))\/c)\/((c**(-8)\/c)\/c))**(2\/11)\/(c**1*c*c**(-4)*c*(c*c*(c\/(c*((c\/c**1)\/c)\/c))\/c*c)**12) assuming c is positive.\nAnswer: c**(-487\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -301 = -182*f + 2086 + 1435 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -m - 90. Let h(k) = -5*k**2 - 71*k - 2. Let q be h(-14). Calculate the greatest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2067, -4390, -6959, -9774, -12835, -16142, -19695?\n\"Answer: -123*i**2 - 1954*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1468 + 1458.49. Let o = 9.7 + c. What is o rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -27 + 29. Suppose 4*r = u*n + 884, -3*r - n = -2*n - 665. Suppose -8*g + 1023 = r. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - 6*s + 6. Let u be z(4). Let y(d) = d**3 + 6*d**2 + 15*d + 4. Let g(l) = -l**2 - 3*l - 1. Let r(x) = 11*g(x) + 2*y(x). Calculate r(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*i**4 - 5*i**4 - 104*i + 102*i wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2*a = -4*k - 37, -4*k + 45 = a. Let v be -1 - (0 + -11 + 3). Let y = a + v. What is the highest common factor of y and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12\/5 in 2\/12033, 1\/5, 0.5?\nAnswer: 2\/12033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 35 = f + t, 5*f + 4*t - 89 = 0. Let j = f + -12. Suppose j*a = -2*w + 501, 5*a - 300 = w + 207. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t = -6*l + 1, -4*t + 7*t - 2*l + 3 = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:37 AM and 12:24 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2*m**2 - 2)*(4*m - m - 5*m + (1 + 2 - 1)*(38*m - 22*m + 21*m) + 2*m + 2*m - 2*m).\nAnswer: -148*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1461 - -5080. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 137, -77, -0.3, -0.87, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1948 + -1963 - (2 + (-3)\/((-48)\/(-182))).\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-81)\/(-264) - (-6)\/(-48)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of w**4\/12 - 29*w**3\/6 - 9*w**2 - 56*w. What is the remainder when u(37) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - -1) + 0 - (296 - 306).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 12*(6 - (-2)\/(-1)). Let p(i) = 23*i + 1063. Let m be p(-45). Let l = c - m. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 5*x - 3, -4*x + i + 1 + 4 = 0. Let r be 3 - -1 - -8 - (x - -1). Let v(y) = 2*y - 2. What is the remainder when 53 is divided by v(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 98afb (base 16) to base 2\nAnswer: 10011000101011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*g - 14*g - 20 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 544503368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 858 + 31. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -7*t**3 + 3*t**2 - 8*t - 6. Let a be 60\/(-35)*14\/(-4). Let p(s) = -15*s**3 + 7*s**2 - 17*s - 13. Let k(n) = a*p(n) - 13*b(n). Factor k(c).\nAnswer: c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -60, -54, -48?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*d + 4*d + 3*d)*(-2 + 2 - 3*d**2)*(2*d + 3*d - 4*d).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1352363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.95 and -68?\nAnswer: -64.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -150353121 (base 6) to base 8\nAnswer: -13671651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*x**3 + 1704590*x**2 + 23*x - 75493182 wrt x?\nAnswer: 9*x**2 + 3409180*x + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -403 + 11*m**2 + 442 - 39 + 38*m**2.\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - -443?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -27 + 705. Suppose -6*u = -528 - k. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = 20, -8*k - 4*c - 14 = -10*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -10*p**3 - 11*p**2. Let m(q) = 10*q**3 + 11*q**2. Let t(f) = 3*m(f) + 2*w(f). What is the third derivative of t(x) wrt x?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -2*t - 27, -2*t + 14*f - 15*f - 15 = 0. Is 1591\/(2 - t - 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x\/(x\/x**(5\/6)*x))\/x**19)**(-9))**(-1\/17) assuming x is positive.\nAnswer: x**(-345\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l - 22. What is c(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*j + 3*k + 3, -3*j + 116 = -5*k + 112 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 308250 and 19728.\nAnswer: 2466000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 4 = -2*j, 2*j = -0 + 2. Suppose -274*s - 312 = -248*s. Put k, 4, s, 1 in decreasing order.\nAnswer: 4, 1, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4\/7, -4, 416, -0.1.\nAnswer: -4, -2, -0.1, 4\/7, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -227982, -227975, -227954, -227913, -227846, -227747, -227610?\n\"Answer: a**3 + a**2 - 3*a - 227981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 248811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/3*(-37)\/(37\/(-210)). Solve -k = 22*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 128*q = 16436 - 3508. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(336)*-3)\/(sqrt(150)*3))\/(3*((sqrt(648)*-1 - sqrt(648))*-1 - (sqrt(648) - (5*1*sqrt(648) - sqrt(648)) - sqrt(648)))).\nAnswer: -sqrt(7)\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the second derivative of -4\/3*a**3 + 0*a**2 + 44*a + 0. Let t(q) = -3*q**2. Determine v(t(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 254714890.\nAnswer: 2, 5, 25471489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 3\/17 (c) 0.1 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 9 - ((2 - -1) + -13 + (3 - -2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -27*z**2. Suppose -3*t = 2*t - 20. Suppose -v + 26 = 5*i, t*v - 3*v = i - 4. Calculate a(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2132749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -2*u - 6. Let z be s(-3). Suppose z = r, 3*r = -4*x + r + 16. Let g(t) = -t**3 - 6*t**2 - 5*t + 5. Let m be g(-5). Solve -x = f - m*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l, 1 r, and 1 u when four letters picked without replacement from lukuuurukflrlrk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -500, -516, -540, -572, -612, -660?\n\"Answer: -4*o**2 - 4*o - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1043, -2\/15, -124, 5 in increasing order.\nAnswer: -1043, -124, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11617, 11619, 11619, 11617, 11613, 11607?\nAnswer: 11599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8 - 6 - -8) + 9. What is the nearest to 2.4 in -5, o, -1, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 2:47 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 61369166 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Determine c so that 2*c**4\/17 - 48*c**3\/17 - 2790*c**2\/17 - 24300*c\/17 = 0.\nAnswer: -15, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/144 and 49\/12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, -18126, -1, 0.11, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 6 + -10 + -1 - (-16 + 1 - (237 + -247))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000826223726 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 26*c = -21*c + 530, -4 = c. What is the smallest common multiple of 8 and q?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7358 in 2\/9, 0.6, -1, 0.4, 1\/2, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 1470*r + 55. Let k(v) = -105*v - 4. Calculate 4*h(i) + 55*k(i).\nAnswer: 105*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 10208573, 20417149, 30625725?\n\"Answer: 10208576*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/26 - (18 + 8032\/(-442))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*i - 73737 - 29255. What are the prime factors of i?\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -689*i**2 - 653*i**2 + 1271*i + 244*i**2 + 223*i**2 - 2098*i wrt i.\nAnswer: -1750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6625868779?\nAnswer: 17, 953, 408979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -4*g + 8*g - 2 - 5 - 6*g. Let i(x) = 3*x + 7. Let b(s) = 4*h(s) + 3*i(s). Find the first derivative of b(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2398 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.0403 + -2.2403. Which is the second smallest value? (a) o (b) 0 (c) 0.7 (d) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 10*o**2 - 10*o - 4. Let n = 187 - 176. What is the remainder when g(5) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1132002 - -123101?\nAnswer: 1321103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44516 is divided by 149.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -11*x**2 - 21*x. Give u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w**(7\/6)\/w)**(-1\/21)*w**25*w*w**21 assuming w is positive.\nAnswer: w**(5909\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 69107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 81*z**3 - 2*z**2 + 2*z - 1. Let x be t(1). Is 79 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes before 5:13 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -12*t**2 - 52*t + 4. Let a be r(-5). Let j be -5 - 16\/a*3*15. Solve 0 = -4*d + j + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of 41*s**4\/8 - 8*s**2. Let c be v(1). Suppose -4*b = 4, 4*a - c = -2*b + b. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) -2\/5 (b) -26 (c) -4 (d) 4 (e) -3\/2 (f) 0.3 (g) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*q + 0*q - q**2 + (-q - 3*q + q)*(-2*q + 4*q - 4*q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 5*g = -0*p - 14, -5 = 5*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*y + 250 = 212 + 682 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 555375 and 51750?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -4.139 * -203\nAnswer: 840.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -13 (b) 2\/251 (c) 0.5 (d) -9\/8 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 10.5941 days?\nAnswer: 15255.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*p = 19*p + 15. Let y be (-1)\/(p\/(-312)) - -4. Let l = -44 - y. Calculate the highest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -308891*r - 7416. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.46*6\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0159355 rounded to four dps?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/2 - (51730\/(-56) - -10). Let a = f - 905. Calculate the common denominator of (1\/10)\/(2\/(-55)) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1216*h - 1219*h + 3*y = -39, 0 = -5*h - 3*y + 97 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**3 + 0*m**3 + 5*m**3)*(276*m + 379*m - 155*m).\nAnswer: 1000*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.530827 from 2.\nAnswer: 1.469173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -559, -4381, -14681, -34675, -67579, -116609, -184981?\nAnswer: -275911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -3*j**3 + j**2 + 2*j. Let o be l(-1). Let i be (2 + -1)\/(o\/(-14)). Let k(a) = 13*a**2 - 5*a + 7. Is k(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.3 times -0.1259?\nAnswer: 0.16367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 24039935861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from hmdlm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*v - 55 - 34 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -47 (b) 2\/9 (c) -2\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 28 + 8)*(0 - 3*f + 0)*(-3*f**3 + 7*f**3 - f**3).\nAnswer: 225*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be -3*(-12)\/(-18) + -4. Let c be ((-15)\/y)\/(10\/8). Suppose 3*x - 2*w - 812 = 0, -w = c*x - 546 - 7. Does 38 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 848*a - 40 = -4*o + 852*a, -2*a + 5 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.8 * 4262496\nAnswer: 3409996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2 - -1) + 174\/(-2). Let j = q + 139. What is the greatest common divisor of j and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3406*n + 2597 = 3455*n for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -155 (base 7) to base 6\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-1465)\/2340 - 11\/99 and -7\/858.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (8\/(-2))\/((-11)\/572). List the prime factors of (-2)\/(l\/(-102) + 2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 + 8*z + 60. Let b be y(12). Suppose 0 = 2*l - 4*d - 292, l + 7*d - 131 = b*d. Let m = 1 + 11. What is the highest common divisor of l and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1001111 (base 2) in base 11?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the second derivative of -t**7\/2520 + t**4\/3 - t. Let j(u) be the third derivative of f(u). Let k(l) = -l**2. Give k(j(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 16 = -0*g - 2*u, -4*g + 13 = -5*u. Let x(s) = s**3 + 2*s**2 - 3*s - 4. Determine x(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -16 - -18. Put b, -8, -4 in descending order.\nAnswer: b, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of x**4\/4 - 14*x**3\/3 - 9. Find the third derivative of b(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:55 PM and 9:28 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -y**2 - 10*y. Let j be a(-10). Let u(p) = p**3 - p**2 + 45. Let z be u(j). Let i be 10*(-3)\/(z\/168). What is i rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -134.1 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1343211010 (base 5) to base 11\nAnswer: -1a75142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqbqqtbtbqbqbqqq. Give prob of sequence tt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -50346913*p**2. Let c(w) = -3*w. Give c(b(u)).\nAnswer: 151040739*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 16, e: 2}. Give prob of picking 1 e and 3 w.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 11, -0.4, 0.5, -0.1 in descending order.\nAnswer: 11, 0.5, -0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gdggddtggt. What is prob of picking 1 t and 3 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -r + 2*q - 25, -28*r + 4*q = -33*r - 97 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = 7*j - 695. Suppose 3*v + 82 = -5*r - 55, 4*r - 5*v = -j. Let a = r + 26. Put -12, 1, a in decreasing order.\nAnswer: 1, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 142662 is divided by 4196?\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -34597303*a**6 + 131526659*a**2 wrt a?\nAnswer: -4151676360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, e: 1, n: 2, t: 1, w: 1, c: 1}. Give prob of sequence wn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1748*l**3 + 1721*l**3 - 54*l**2 + 4*l - 3*l wrt l.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 32718 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/(-4))\/(11683\/(-2338) - -5). Let s = d - 131. Let f be 0*2\/6 - -36. Calculate the greatest common factor of f and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = 66*m - 71*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4272*j + 2190*j + 13905 = -2217*j for j.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w - 4. Let r(m) = m**2 + 9*m - 8. Let c be r(-9). Let g be k(c). Suppose -20 = -3*j - j. Solve g*h - l - 1 + 5 = 0, j*l + 4 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/10*(-71)\/(-71).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.612 - 0.5.\nAnswer: -4.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1*-12*(-18)\/(-1368)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -26132041.4 rounded to the nearest 1000?\nAnswer: -26132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/39)*p*p**(-14)\/p)**(-43) assuming p is positive.\nAnswer: p**(23435\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*m**3 + 2*m - 2*m)*(-3 + 3 + m + (1 - m - 1)*(1 + 0 + 1) - m - 5*m + 4*m - 9 - 5*m + 9) to the form h*m**4 + j*m**3 + b + l*m**2 + z*m and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1954723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 - 10*s**2 - 2*s + 11. Let z be n(10). Let v be -6*1\/2 - z. Let a(l) = 11*l + v - 6*l - 3*l. What is a(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5566 - 5567. Sort 3, p, -2, 1 in descending order.\nAnswer: 3, 1, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 26007.5043 seconds?\nAnswer: 0.30101278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 767025 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 617305538 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -23, -241, -831, -1979, -3871, -6693?\n\"Answer: -31*a**3 - a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 3 (c) -0.12 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxx when three letters picked without replacement from pxxxxpxpxxx?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-1\/22)\/c*c)\/c**(-2))**(-3\/25) assuming c is positive.\nAnswer: c**(-39\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -776, -2434, -5198, -9068, -14044, -20126?\nAnswer: -27314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the first derivative of 4*x**4 + 11*x**2 + 32. What is the second derivative of i(r) wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 4)*(-2*u + 1 - 1 + (2*u + u - 2*u)*(-6 + 2 + 2) - 4 - 5*u + 4).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -20648, -2, 3.1 in decreasing order.\nAnswer: 3.1, -2, -20648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -5758.2 less than -2316486?\nAnswer: -2310727.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -2.83665 - 589169.6\nAnswer: -589172.43665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**0\/(t*t**(-5)*t))\/(t*t\/(t\/(t**(1\/2)\/t)))**(-11)*t**6*t*t\/(t**(4\/9)*t)*t**(1\/3)\/((t\/t**(1\/6))\/t) assuming t is positive.\nAnswer: t**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8250 and 7425.\nAnswer: 74250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 8380105100 rounded to the nearest one million?\nAnswer: 8380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:28 AM and 1:51 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 126632368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 25221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -11300 (base 4) to base 15\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -93*v - 186 wrt v?\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.096 - 0.004. Which is the closest to i? (a) 0.2 (b) 2\/15 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -55 + 62. Suppose -5 = -5*w - 0. Calculate the greatest common factor of w and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -13? (a) 2\/15 (b) -1 (c) 7 (d) -1899 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14944801 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -45*a**3*k*n + 2*a**2*k**2 - 2*a**2*n + 484*a*k - 2*k**2*n - k**2 wrt a.\nAnswer: -270*a*k*n + 4*k**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m**2 - m**2 - m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*m = -b + 31, -2724 = m - 2727 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*j**3*q**2 - 557*j**3*q - 7*j**3 - 393*j**2*q**2 - j**2 - 11*j*q wrt j.\nAnswer: 24*q**2 - 3342*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + 14. Suppose 5*j + 2*g + 2*g - 23 = 0, 2*j - x = -4*g. Suppose -j*u + 4*t + 64 = u, 0 = -5*t - 25. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 8151*q**2 + 35*q + 10131. Let r(h) = 4075*h**2 + 20*h + 5065. Let j(w) = 4*f(w) - 7*r(w). What is the first derivative of j(k) wrt k?\nAnswer: 8158*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38756976 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -31, 76, -0.3, 5 in descending order.\nAnswer: 76, 5, -0.3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -551, -980, -1409, -1838, -2267?\n\"Answer: -429*x - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 6090 - 987 = 81*f for f.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 3, -1, -23, 8.\nAnswer: -23, -1, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 - (3 + (0 - 1)). Let k be 0*(j + (-2)\/(-4)). Suppose -4*b = -k*b + 20. What is the nearest to 2 in 0, -4, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3017725247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(-2)*k)\/k*k**(-1\/2))\/(k**(1\/4)*k*k**(-3)))**(-28) assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 5795\/165943?\nAnswer: 5795\/165943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 0*r - 27 = 0. Let h(b) = -b**3 - 7*b**2 - 11*b - 8. Is h(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -341*s + 832*s - 459*s + 3*s**2.\nAnswer: 3*s**2 + 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/(-4) - 3\/(-6). Find the second derivative of -167*i - 7*i**5 - 23*i**3 - 25*i**3 + 4*i**f + 48*i**3 wrt i.\nAnswer: -140*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5572 divided by -796.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 4720*p. Let u(g) = 3*g**2. What is r(u(c))?\nAnswer: 14160*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 842, 841, 840?\n\"Answer: -s + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 45684352 + -5?\nAnswer: 45684348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 + 8. Which is smaller: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, o: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 196 + -3. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**2 - 15*f - 25. Let w be j(-12). Solve -2*i + 3*i = -4*a + 2, w = 5*a - 3*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g = 10*t - 61, 2714*t - 2712*t = 2*g + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2110 + -2108. Solve -h*b - 10 = 4*x - 2, -4*b = x + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2130049 rounded to 3 dps?\nAnswer: 1.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 587\/5861 or -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r**3 - 4*r**2 + 4*r - 8. Let k be g(4). Suppose -4*j + k = 0, -l + 3 + 6 = 2*j. Solve -l*x = -4*x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2766, -6, -36 in decreasing order.\nAnswer: -1, -6, -36, -2766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 8 = 0, 4*p - 3*b = p + 72. Let l be 2 - (-24)\/(-15) - 4\/p. Let c = -5 + 10. What is the nearest to 2\/5 in l, -2, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c**4\/9 + 212*c**3\/9 - 2192*c**2\/9 - 3728*c\/9 + 4864\/3 = 0.\nAnswer: -3, 2, 16, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/(-34)*(-323)\/(-76)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the third derivative of d**4\/4 - d**3\/2 - 18*d**2. Let g be l(2). Suppose 2*a - g*a = -490. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41 - -43. Let u be ((-91)\/14 - -6)*16\/f. Let m be (-18)\/(-8)*(28 + 16\/u). What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 309994991 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -13. Let n = v - -5. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -8603760 divided by -2867920\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-16)\/(-24))\/(3 + (-323)\/108). Suppose 0 = 4*y - y - b. Let r = 27 - y. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - 13*s + 40. Let k be z(7). Let n be k + 24\/15 - 664\/(-10). Let i = -58 + n. Solve -x + i = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**3 + 0*k**3 + k**3)*(k + 0*k + 2*k)*(-4 + 3 - 2).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put together -116 and 1521.\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 9127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4\/5, 0.3, -0.1, 2\/9, 2\/5, 17\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -4*(-1)\/2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-2*sqrt(125) + (sqrt(5500)*-3)\/sqrt(11))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q = -6*q - 20. Let n be (q\/(-14))\/(1\/7). Let d(c) = -6 - 3 + 0 - n*c. Give d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + 45*y + 259. What is p(-36)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/n**(2\/7))**(8\/7))**(-23) assuming n is positive.\nAnswer: n**(-920\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 118566\/(-98805)*-2*(-5)\/(-474).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fsisybib. Give prob of sequence ssiy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12221062.\nAnswer: 2, 7, 17, 51349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-5)\/15)\/((-1)\/(-3)). Let k = w + -2. Let u be (-2 - k)\/(1\/3). Solve 0 = -6*b + 3*b - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1404 and 234.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 401175881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((0 + sqrt(832))*-4)**2 + sqrt(832)*-2*3)*6.\nAnswer: -288*sqrt(13) + 79872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -22*j**2*z**3 - 2*j**2*z**2 - 708*j**2 + 383*z**3 - 61*z wrt j.\nAnswer: -44*j*z**3 - 4*j*z**2 - 1416*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.0073, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -22434 divided by 9\nAnswer: -7478\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l + 389 = -59. Let j(b) = -2*b**3 + 10*b**2 - 9*b + 6. Let w be j(6). Let h = l - w. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44d7b3 (base 14) in base 16?\nAnswer: 23bd11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/((-55)\/(-15) + -4). Let d(w) = -w**3 - 7*w**2 - 7*w - 6. Let g be d(m). Suppose f - 12 - 8 = g. Solve f = 5*k + v, -3*k + v + 12 = -v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -221, -14, 5, -3 in descending order.\nAnswer: 5, 2, -3, -14, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -r + 5*k - 19, 251*r - 254*r - k + 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.01 + 0.03. Let u = 0.98 + w. Are u and -0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (13 + -1)\/(-3) + (-8976)\/(-2618). Which is the biggest value? (a) -0.6 (b) -0.02 (c) v (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the first derivative of 20*p**3\/3 + 15*p**2\/2 - 5*p + 11. Factor k(q).\nAnswer: 5*(q + 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 12*-2*(-18)\/(-24). What is the tens digit of (-2)\/y + -3 + (-5216)\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - f + 497 = 2*a, 2*a + 5*f - 271 = 0. Let k = -114 + a. Calculate the lowest common multiple of 30 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - 0*k - k - 11, -5*p = -2*k + 30. Let o(i) = i**2 + 6*i + 10. Let l be o(p). Solve 2*j + 0*j = -l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 434757770.\nAnswer: 2, 5, 37, 1175021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -9*w + 374. Calculate the remainder when 154 is divided by w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -3*j**2 + 4*j - 4. Let i be s(1). What is the biggest value in i, -5\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w + 1. Let f(o) = 6*o + 3. Suppose 0 = -3*p - 4 + 7. Let r(l) = 2*l**2 - 63*l + 26. Let q be r(31). Give p*f(y) + q*m(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 912 and 72390.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/654 and -65\/28.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 + 3\/4 + 1. Suppose -4*v + 9 = -13*v. Which is the closest to v? (a) 4 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0.033, -2, 0.3?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.5 - -0.2. Let s = 5 + -5.06. Let n = s - 3.94. Which is the biggest value? (a) 4 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3189515 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 118*o**3 + 6*o - 2*o - 4*o.\nAnswer: 118*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from mmfmkbfbbfy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 348 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 532.399 - 532. Let z = -0.4173 + m. What is z rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-133 + 243 + 218)*(1 - 2*f - 1)*(1 - 3 + 4)*(2*f + 2*f**3 - 2*f).\nAnswer: -2624*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -51*i. Let c(g) = -13*g. Determine b(c(s)).\nAnswer: 663*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*(g*g\/g**(-1\/5))\/g)\/(g*g\/(g*g**(2\/7)*g))*g**(-4)\/g**8 assuming g is positive.\nAnswer: g**(-333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -517326.49 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 9 + 39. Suppose -q + 2*w - 4 = -1, 0 = 4*q - w - o. Solve 4*t + 4 + 2 = -q*d, -5*t - 2*d = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -2 + 6*k**2 - 14*k - k**2 + 3*k**3 - 4*k**3 + 18*k. Is t(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-30))\/((-32)\/80)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 4\/3, -1\/30, 24?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 + 10 - (-3 + 9)) + -10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1654 - -1617. Let m(r) = -5*r**3 - r + 2. Let k be m(2). Let q = l - k. Solve 0 = -2*x + 5*x - 4*d - 7, x + 4*d + q = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-60)\/75)\/(-3 + 68\/20). Let v(d) = d - 2. Let q(i) = -4*i + 7. Calculate s*q(g) - 9*v(g).\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 2*k**2 - 7*k - 34. What is the remainder when 61\/9 + 2\/9 is divided by n(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 18*a - 14*a + 4684 = 0, -l - 3*a + 4677 = 0. Is l a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 3*w**2 + 7257*w + 28980 = 0.\nAnswer: -2415, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 888635.\nAnswer: 5, 11, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 14? (a) -1 (b) -1\/9 (c) -2.4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 - -9. Let g = 20 - w. Suppose 4*c = c + g*u - 223, -409 = 5*c + u. Which is smaller: c or -80?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25814699 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*i**3*z**2 - 990*i**2*z**3 + 16*i*z**3 + 19 wrt i?\nAnswer: -12*i*z**2 - 1980*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2664275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 6318 = 2*h - 3152, 3*h - r - 14215 = 0. What are the prime factors of h?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 210 + -207. Solve 14 = 4*u - 4*r + 5*r, 6 = v*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2accb + -67c4?\nAnswer: 24507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -102 - -113. Suppose 0 = 4*l - 3*i - d, 6*l - i = l. Suppose -2*o + 0 = -2. Sort 5, o, l.\nAnswer: l, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*p - 25 = -40*p - 125 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -3*m + 35, 30*n + 7 = -m + 27*n. What is the remainder when 561 is divided by 4 + 63\/(-15) + 236\/m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**2 - 7*s + 2. Let k be h(-7). Suppose -2*g = k*g - 44. Let a = -7 + g. Solve 0 = -r - a*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3696*i**4 + 4138 + 1471 + 23*i + 25*i - 50*i + 494 wrt i?\nAnswer: 14784*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 70 - 15. What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x + x + 0*x + (-4 + 5 - 3)*(1 - 2*x - 1))*(4*x - x + 3*x).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 320 and 2481392.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/3 - (-96)\/(-18). Let g be (-63)\/6*k\/9. Let y(p) = p**3 + 6*p**2 - 4*p - 4. Let l be y(-3). Calculate the highest common factor of g and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.041660906 rounded to 3 decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4797597*r**2*u + 56*r*u - 3*r - 296*u + 2 wrt r.\nAnswer: 9595194*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**2 - 6*c - 3. Let p be g(-5). Let w be (24\/2)\/2*1. Let t = p + w. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20900)\/(-50160))\/(10\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 1, e: 4, g: 1, k: 1, w: 6, q: 3}. What is prob of sequence wko?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2 take away 5.0092017?\nAnswer: -3.0092017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 35 - ((14 - 2) + 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzllllzl. What is prob of sequence zz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -60*i**2 + 9*i**4 + 12*i**4 + 2 - 4 - 19*i**4 + 22*i**2 in the form v*i**3 + k*i**4 + g*i + x + p*i**2 and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n + 5 + 11. Let v(g) = g**3 + 6*g**2 - 16*g + 4. Let m be v(n). Solve 4*d = -5*i + 16, -i + 16 = 2*i - m*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 - 5*x**2 - 5*x + 3. Determine y(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: d436 (base 14) to base 10\nAnswer: 36504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 1303*t + 89899. Determine b(-69).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -246, -257, -278, -315, -374, -461, -582, -743?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (1 - 6 - -9) + -3 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -439 + 441. Let y(a) = 0*a**j - 3*a**2 + 7*a**2 - 2*a - 7*a**2 + 2*a**2. What is y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 3\/10, -42, -0.3, -6?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 40*p**3 + 86*p**2 + 3560*p - 6. Let f(b) = 13*b**3 + 29*b**2 + 1187*b - 2. Let m(d) = 17*f(d) - 6*r(d). What is the second derivative of m(o) wrt o?\nAnswer: -114*o - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 192740 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5755.\nAnswer: 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 40946.\nAnswer: -3\/40946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 1033222 (base 5) to base 8.\nAnswer: 43021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3555080863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104) - 3*(sqrt(104) - (-1*sqrt(104) + sqrt(104) - sqrt(104))) - sqrt(104))\/sqrt(8).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 20266*r + 20265*r - 3.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 988338543 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 51\/29 and 69\/175?\nAnswer: 5075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = 782.01 - 781.94. Let o = 214\/7 - 3652\/119. Put -3, f, o, 1 in ascending order.\nAnswer: -3, o, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 185173067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -11664.11482 rounded to the nearest ten?\nAnswer: -11660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 197?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*w - 8*w + 49*w - 13*w - 17*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 - -8 - (-16 - 30)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.415 - 1.015. What is the biggest value in 5\/4, -0.181, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*v**2 + 3*v**4 - 4 + 10 - v - 4 to l*v**3 + a*v**4 + n*v**2 + h*v + c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -950590, -1901322, -2852054, -3802786, -4753518, -5704250?\nAnswer: -6654982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 PM and 8:21 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h**3 + 12*h**2 + 31*h - 14. Calculate the remainder when 154 is divided by s(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 53.89284?\nAnswer: 161.67852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5b - -12763?\nAnswer: 127c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/14 in 1\/5, 0.13, -20\/9, 4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 534860 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p + 1. Let c(f) = 9*f**2 + 4*f + 3. Let n(i) = c(i) - 3*d(i). Suppose -3*s = 2*s + 5. List the prime factors of n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000504 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 420922 = 130*b - 845798. What are the prime factors of b?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8702 = 202*h - 3063 + 4722 + 5597 for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -44 - -41. Let j = m - 1. Let v be (-71)\/j - 7\/(-28). Calculate the highest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2466 + 3823 = -331*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 156 = -529. List the prime factors of s.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1*(0 + (-2)\/(-2)). Let t = r + 2. Calculate the highest common factor of t and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 92 + 130 = 5*p, -5*u + 3*p = -259. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 34932.35g to tonnes.\nAnswer: 0.03493235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 - -11. Suppose f*a + 3*g + 18 = -2, -a - 2*g + 3 = 0. Let i(z) = -3*z - 7. Let v be i(a). Solve -4 + v = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**(-9)\/d*d*d*d*d*d*d)\/d**0*((d\/d**(4\/3))\/d)**(-6\/13))**9)**(1\/16) assuming d is positive.\nAnswer: d**(-279\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*k**2 + 5*k**2 - 27 + 2*k**2 + 27.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.793 + 7.793. Which is the second smallest value? (a) x (b) 2\/5 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2123405588?\nAnswer: 2, 530851397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1505501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve u = -4*u + 20, 2*u = -m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.2, -0.1, 4\/3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 10*x**3 - 12*x**2 - 12. Let r(g) = g**3 - g**2 - 1. What is 12*r(l) - y(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*t + 2*t - 4*t)*(20 - 20 - t) + (-t + 3*t - t)*(-2*t + 5*t + 0*t))*(12*t - 11*t + 3*t + 1).\nAnswer: 8*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -247*q - 6 = 5*v + 245*q - 490*q, 0 = 2*v + 2*q + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/((-3458)\/(-3462)) + 1\/1. Let y = n - -164299\/38038. Find the common denominator of 0 + -1 - 2565\/(-486) and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b - 4. Let s = -10 + 7. Let r be m(s). Calculate the remainder when 0\/3 - 26\/r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 14 = 4*c, -5*c + 6*v = 8*v - 18. Let u = -40 - -44. Solve -t + u = t + 4*h, -c*h + 4 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -323 + 826 - 503 - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 64207113 + -2?\nAnswer: 64207111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -333 = 2*q - 5*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.9 - 362.778.\nAnswer: -361.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in thirty-seven halves of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -910399 by -3.\nAnswer: 910399\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 6 + 2)*(-6 + v**2 + 6)*(v - 2*v**2 - v).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.234 + -0.766. Let g = 17 - 12. Let w = -21 + 125\/6. What is the second biggest value in w, t, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5309 - 5309. Which is bigger: 1\/461 or s?\nAnswer: 1\/461","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17523 and 3885563.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 5867*w - 41089. What is y(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*i = 42*i + 3, 0 = 5*o - 3*i - 31 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f + 22 - f**3 - 2*f - 23. Let z be g(-2). Is 1385\/45 + 2\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2115, 2187, 2139, 1971, 1683?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -23*b. Let c(i) = 590*i - 1 + 398*i + 1. Let l(m) = -4*c(m) - 171*w(m). Let f(y) = 2*y. What is f(l(h))?\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 933427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, g: 2, b: 1}. What is prob of sequence lg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -144985 - -144985.00000073953. What is p rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xbxbxbjbjs. Give prob of sequence jxxx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be 483060\/161850 + (-2)\/(-130). Let a(s) = -3*s**3 - 3*s**2 + 2*s - 5. Let u(v) = -2*v**3 - v**2 + v - 3. Let h(w) = 3*a(w) - 5*u(w). Give h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 79721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-34)\/(-3))\/(-37*40\/444)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -42 + 60. Does 20 divide p*7\/((-105)\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5.5 - 0.5. Let u = 5.3 - t. Let y = 0 - u. What is the smallest value in 1\/6, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 3*u + 10, 6*u - 3*u - 3*z = 0. Let f be (u\/2)\/5*-48. Let k = 21 + -9. What is the highest common divisor of k and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*q + 10. Let f be 2 + -2 + 2\/(-2). Is q\/(-16)*f - (-136701)\/216 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r - 6. Let f(i) = 1 + 4 - 3*i + 2*i + 1. Let l(t) = -6*f(t) - 7*j(t). What is l(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2016*g - 1977*g + 3920*g.\nAnswer: -73*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51*y**2 + 6*y**2 - y + 15*y**2.\nAnswer: -30*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/3)\/(1\/6). Suppose 0 = -v*o - 5*a + 232, 0 = -3*o + a + 184 - 10. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -58*a**2*l**3*x**3 - 2*a**2*l**3 + a**2*x + l**2*x**3 + 2*l**2 + 7*l*x**3 wrt l.\nAnswer: -348*a**2*x**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (w**3 + 0 + 0)*(0 + 0 + w) - w**4 + 4*w**4 - w**4 + (-2*w + 2*w + 2*w**3)*(0*w + w + 0*w).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 92166620.9999988 - 92166606. Let m = 15.2 + -0.2. Let b = m - l. What is b rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**10\/g)**15\/(((g\/g**(1\/4)*g)\/g)\/g**14) assuming g is positive.\nAnswer: g**(593\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x - 1. Let a(k) = k**2 + 28*k + 12. Let c(y) = -a(y) + 5*v(y). Let z be 2\/4*0 + -13. List the prime factors of c(z).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 50 + -2?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**3 - 65*h**2 - 2*h - 129. Let m be k(-65). Let u be (2\/(-4))\/((-99)\/(-12)). Which is bigger: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the third derivative of -t**6\/120 + 71*t**4\/12 - 1027*t**3\/6 + 1023*t**2. Differentiate o(f) wrt f.\nAnswer: -3*f**2 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**3 - 10*h**2 - 8*h + 8. Let n be c(-9). Let t be (n\/2)\/(3\/(-36)). Let s = t - 4. Solve -i + s*i = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ziiv when four letters picked without replacement from ziipzmvj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 5 = -5*h, 4*r + 2 = 4*h - h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 17, 218, 757, 1802, 3521, 6082, 9653?\n\"Answer: 28*d**3 + d**2 + 2*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of -u**2\/2 + 112*u - 4. Let k(s) = 27*s**2 - 12. Calculate k(f) - 12*y(f).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 16\/(-24)*(-5)\/40*-3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p - 4*p + 5*w + 1430, 0 = -2*p - 2*w + 724. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 48 = 10*n - 7*n, -2*n = 4*h + 34. Let y(a) = -2*a - 24. Determine y(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 116529?\nAnswer: 3, 7, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -748 = 15*r - 3268. Calculate the greatest common divisor of r and 1176.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 57 = -r - 45, 3*t + 5*r = 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dda when three letters picked without replacement from reeeedda?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 + -5 + 1 - 0) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 340 a factor of 37066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 30 - 20. Suppose h - 4*u - 2 = 0, -2*u + q = 5*h + u. Suppose -h*n + 12 = n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/2)\/5*3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 5*b + 1. Let m(t) = -2*t. Let x(w) = -g(w) - 2*m(w). Suppose 6 + 4 = -o. Let j be x(o). Solve -2*l + j = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 2*b + b)*(-3 + 3 + b**4) + (b**4 - 4*b**4 + 5*b**4)*(0*b + 3*b - 5*b).\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (77 - (54 - -75)) + 1 + 12\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from yyyyhyquyuhu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 728 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -62 - -62.1. Let s = -0.38 - -2.38. What is the fourth smallest value in s, 1, -10, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 525, 87, 4 in increasing order.\nAnswer: 4, 87, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 83 + -44. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c - 2. Let y be q(-4). Suppose 2*g - 2 = 4. Solve -g*v = y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (35\/9)\/(-7)*(-48)\/(-40).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of -r**5\/70 + 2*r**4\/7 - 3*r**3\/7 - 22*r**2\/7 + 1357*r. Suppose f(q) = 0. What is q?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 5*u = -0*i - 124, 0 = -5*i - 2399*u + 2394*u + 140 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -14*w - 1. Let a be d(2). Let b = -47 - a. Let v = -13 - b. Solve -o - 5 = -m, -v*m - 2 + 22 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 156, 205, 278, 369, 472?\n\"Answer: -z**3 + 18*z**2 + 2*z + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = 4\/1901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) -3\/8 (b) 0.1 (c) 1\/7 (d) -10 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = i + 54, -i = 2*i - 2*m + 173. Let h(x) = -3*x**2 + 293*x + 1267. Let q be h(102). Do i and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -471, -968, -1797, -2958, -4451?\nAnswer: -6276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 3*x - 2*x + 117 = 0, -4*x + 120 = 4*a. What is the remainder when 129 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 983093174?\nAnswer: 2, 7, 19, 181, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -105667000 rounded to the nearest 100000?\nAnswer: -105700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*h - 9*h + 11*h**4 - 2 - 6*h**3 + 8*h**2 - 9*h**2 - 2*h + 4*h**3 to i + q*h + x*h**3 + m*h**4 + s*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -56824 - -247803. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -11 + 77 - (412 - 363)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2042 is divided by 144?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/6 - ((-9251)\/(-396) + -14). Let z = j - -94\/9. Put z, 1, -31 in decreasing order.\nAnswer: 1, z, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.112, 1, -3\/2, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, q: 8, p: 1, w: 1, s: 3, n: 3}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 117 - 107. Differentiate a + 12 + 22 - 39*h - 9 wrt h.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 279\/(-1116) - (-210)\/8.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -94*m. Let r(w) = -217380*w**2. What is r(y(j))?\nAnswer: -1920769680*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43, 16, -35, -116, -233?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 7*y**3 - 10*y**2 - 2. Let w(s) = s**3 + 1. Let r(x) = n(x) + 2*w(x). Find the third derivative of r(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -34 + (-2 - -1) - 28?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1634*i + 1619*i + 540 = 0. Let a be 1 - (-1 + (0 - 0)). Solve 5*h = -4*s + i, -a*h - 2*h = -s - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/11, 147, -0.1, -0.2, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/10)\/((-1)\/10*-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do -10003\/8 and -1250 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the third derivative of -g**9\/4032 + g**8\/320 - 3*g**7\/224 + 3*g**6\/160 - g**3\/2 + 13*g**2. Let b(y) be the first derivative of n(y). Factor b(d).\nAnswer: -3*d**2*(d - 3)**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 33743679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Is 520 at most -945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 take away -0.149?\nAnswer: 0.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11*o*v**2 - 441*o*v - 17595*o + 101627*v**3 wrt v.\nAnswer: -22*o + 609762*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2201936061 to the power of 1\/2, to the nearest integer?\nAnswer: 46925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence liw when three letters picked without replacement from lwiwwiwwddwwlw?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/2, -3, -2\/3, 90\/11879 in increasing order.\nAnswer: -3, -3\/2, -2\/3, 90\/11879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 153335 and 4692725?\nAnswer: 427037975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7*o*s*z**3 + 3*o*s*z**2 + 20062*o*z**3 - o*z**2 - 225*s*z**3 + 10*s*z**2 + 4*s*z + 29*s - 3*z**2 wrt z?\nAnswer: -42*o*s + 120372*o - 1350*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.081 and 0.2?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/2, 10, 15, 19\/2?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from llrxrrrritqxrrrlri.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -3819.\nAnswer: -4\/3819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the second derivative of -35*f**3 + 99*f**2 - 2*f + 21. Differentiate t(k) wrt k.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105166639 is divided by 1644.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 AM and 8:34 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6 - (0 + -1))*6\/(-10). Suppose -y*n + 87 = 90. Let u be n\/(-6) - (-55)\/30 - 0. Solve -h = u*k + 13, -h = -4*h + 5*k + 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 194861.\nAnswer: 194861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 2*u**3 - 15*u + 15*u)*(12422 - 12422 - 76*u**2).\nAnswer: 152*u**5 - 456*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 1:04 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 200*q**3 + 10*q**2 - 8*q + 157. Is i(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1678\/35 - -344\/7. Let q(z) be the first derivative of 0*z**4 + 4 - u*z**5 + 0*z**3 - 3*z**2 + 0*z. Find the second derivative of q(d) wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 - 13*c + 8. List the prime factors of b(14).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*-1*sqrt(180))\/sqrt(4))\/(1*sqrt(225) - (sqrt(225) + sqrt(9))*-3))**2.\nAnswer: 5\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -l = -5*a - 10 + 9, 4*a = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (229 - 52 + 129)*(0 + 5*p + 1 - 3) to the form t*p + k and give t.\nAnswer: 1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-4) - (-30)\/8. Suppose -1288 + 116 = -i*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 3*h + 3)*(h**4 + 0*h**4 - 8*h**4).\nAnswer: -21*h**5 - 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 55380333*t**4 - 15388982*t**2 wrt t?\nAnswer: 1329127992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (6\/((-192)\/(-20)))\/((-3087)\/(-131712))\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469594?\nAnswer: 2, 71, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4158*y + 4240*y + 1148 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 51, 43, 31, 15, -5, -29?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 105 = -67. Let z be w*(1 - 9\/(-6)). Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -37, -27, -6 in increasing order.\nAnswer: -37, -27, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 128027653426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/10 and 83\/63560.\nAnswer: 63560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -35*r**3 - 4*r**2 + 4*r - 21. Let y(j) = 104*j**3 + 11*j**2 - 11*j + 62. Let l(i) = -11*x(i) - 4*y(i). What is the derivative of l(v) wrt v?\nAnswer: -93*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes after 5:33 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -v**3\/6 - 6*v**2. Let c(r) = r - 6. Let z(s) = -c(s) + 3*y(s). Differentiate z(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -10024, -9830, -9664, -9520, -9392?\n\"Answer: b**3 - 20*b**2 + 247*b - 10252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*m*p**2*x**2 - m*p*y**2 - 6*m*y**3 - 3*p**2*x**2*y**2 + 2*p**2*x**2 - p*y**3 + 17*y**2 wrt m.\nAnswer: -6*p**2*x**2 - p*y**2 - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (15\/(-140)*4)\/(3\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 26\/2652*17*-3*84\/(-27)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + -0.1. Let l = -27.02 + 35.22. Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 + 4\/24)*9\/(-10). Which is the nearest to -7\/6? (a) k (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 52620, 105233, 157846, 210459?\n\"Answer: 52613*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - 2*y**2 + y + 1. Let b be q(3). Round b to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-17 - 14) + 54 + -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 28.4 and -57.89.\nAnswer: -29.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.28 - -0.08. Let z be ((-66)\/(-1089))\/((-23)\/(-253)). Put z, 0.2, r, 2\/7 in decreasing order.\nAnswer: z, 2\/7, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*a - 3*a + 65 = 25*w, -4*a + 6*w + 34 = 3*w - 198 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-95)\/(-336) - (-40 - (-44626)\/1113)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(85)\/sqrt(5) + 3 - sqrt(102)\/sqrt(54))*1)**2.\nAnswer: 4*sqrt(17) + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -7875428.3 to the nearest one thousand.\nAnswer: -7875000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xh when two letters picked without replacement from {m: 4, x: 5, h: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 79363\/5265456 - 3\/15671. What is the common denominator of 37\/30 and t?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -978*h - 49*h**2 + h**3 + 91*h**2 - 40*h**2 + 9.\nAnswer: h**3 + 2*h**2 - 978*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*(b*b**(1\/3)*b)\/b)\/b*b*b\/b**(3\/7)*b\/(b**(-2\/7)*b)*((b*(b\/(b*b**(-3\/4)*b*b*b))\/b)\/b*b)\/b assuming b is positive.\nAnswer: b**(-5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 35 + -30 - (0 - -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -w + 12*w - 221 + 5*w**3 + 222 in the form a*w**2 + o*w + y + q*w**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/18 + (-255)\/(-2). Let i = -611 - -627. What is the greatest common factor of i and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h + 34*r - 35*r + 3, -h + 4*r = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 8)*(-3*d**5 - 1 - 3*d**5 + 4*d**5 - d**3).\nAnswer: -14*d**5 - 7*d**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + c9?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 3*q - 4. Let s be q*9\/(-30)*5. Let x = 6 - 4. Solve c - 3 = -x*p, -6 = -s*c - 4*p + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/18*4*(-2)\/20?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 60*u + 0 - 3\/2*u**2 = 0.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**3 - 4*d**2 + 5*d - 4. Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1010 + 22?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 63 and 1827?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - 10. Let k = 33 - y. Suppose 36 - 1 = 3*x + 2*n, -x - 3*n = -14. Calculate the greatest common divisor of x and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8006829.99951 + -8006789. Let r = -31 - 10. Let x = p + r. Round x to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4608*s**5 + 7262*s**2 + 2.\nAnswer: -276480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/371 or 0?\nAnswer: 1\/371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -0.1.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -2270*f - 167977. Let x be z(-74). Determine v, given that -2\/9*v**4 + 10\/3*v**x + 0 + 0*v - 8*v**2 = 0.\nAnswer: 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 192657*d**3 + 161*d**2 + 98.\nAnswer: 1155942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 28 divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-2*sqrt(27))\/(sqrt(1296)*1).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/18)\/((-3)\/(81\/(-3))). Let o be 20 + (-1340)\/60 + 5*j. Factor 0*w - o + 2\/3*w**2.\nAnswer: 2*(w - 2)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -7*m**2 - 404*m - 189. Determine c(-57).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.8 - -2.3. Sort i, 0.2, 1 in decreasing order.\nAnswer: 1, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56938\/14 - (-12 + 8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(143) - sqrt(143)*-1*1) + sqrt(143))\/sqrt(11) + sqrt(325) + -1 + -2*sqrt(1053))**2.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55444 = -10*o - 84746. Is (-6 + 7)\/((-3)\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 + 5*f**2 - 7*f - 3. Let t be o(-6). Suppose -7*h = -t*h + 24. Let i = 9 + h. Solve i*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11704124 is divided by 575.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-10)\/(k\/(k\/(k\/(k\/(k*(k**16*k)\/k)))*k)))\/(k*k\/(k\/(k**5\/k))*k*k)**(-16\/7) assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 136410\/(-250085) + (-2)\/(-3) + (-130)\/528.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*k - 35 + 56 + 21*k - 21.\nAnswer: 35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34659.\nAnswer: 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 902*m - 932*m + 690 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*x - 8707*x**2 + 0*x + 11*x + 19*x.\nAnswer: -8707*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000776427 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67079735?\nAnswer: 5, 71, 188957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 7 = -7. Which is the biggest value? (a) -5\/4 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 255290026 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the first derivative of -5*f**3\/3 - 7. Let h(z) = z. Give h(v(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3267)\/(-12))\/(-3)*(-980)\/1176*24\/15.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1733760969?\nAnswer: 3, 29, 19928287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 289734101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 145 divide 595135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 18, 0, -5, -19, -3, -49 in descending order.\nAnswer: 18, 0, -3, -5, -19, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -34385 * 1.69.\nAnswer: -58110.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -24 - -168. Suppose 5*h + i = -f + 1016, 524 = 3*h + i. Is 30 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yjyj when four letters picked without replacement from yyyjyyjjyyjyjyyyjy?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-1) + 0 + 4. Suppose 3*f = -g + 1, 2*g + 3*f + d = -2*g. Let q = -0.23 + -0.07. What is the biggest value in g, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 7892494698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**2\/2 + 620900*j - 43461775\/2.\nAnswer: -(j - 1241765)*(j - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-4 + 4)\/13 - -1524 is divided by 196?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 8*j - 23 = -3*q, -3*q = 5*j - 29. Let g be 3500\/(-4)*q\/(-20). Round g to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 10*s**5\/9 + 886*s**4\/9 - 344*s**3 + 2936*s**2\/9 - 736*s\/9 = 0. What is s?\nAnswer: -92, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -234 - -176. Let l = -54 - f. Suppose -t + d + 3*d + 16 = 0, 2*d + 6 = 0. Solve 0*h - 2*w = -h - l, -3*h - 2*w - t = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 110 and 32098.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 330 and 61794.\nAnswer: 3398670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*a + 2*a - 110 = 0. Let n be (-5 - (a - -5)) + -26. Is n equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ledevel. Give prob of picking 1 v and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 344, 1847, 4352, 7859?\nAnswer: 12368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5210 is divided by 1302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*r - 44 - 51 + 95.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2347*c = 4*o + 2351*c - 68, 5*o - c - 97 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 + 4*t**2 - 3*t + 5. Let b be a(-4). Let q = 27 - b. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 10*s**3 - s**2 - 23*s + 6. Let j(z) = -4*z + 1. What is -a(c) + 6*j(c)?\nAnswer: -10*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 6) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yxy when three letters picked without replacement from {x: 10, y: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-3*(-1*sqrt(1377) + -4 - (sqrt(1377)*2 + 2 + sqrt(1377))) + 1)**2.\nAnswer: 4104*sqrt(17) + 198644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -61332 divided by 61332?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 222 - -1044442?\nAnswer: 1100214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from yyoyoymm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4\/70)\/(6\/30). What is the closest to -1 in 1, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 5*u - u. Suppose -2*f - 5*i = -3821, 0 = -4*f - 9*i + u*i + 7667. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101*j = -64*j + 190*j - 1200. Solve 146 = 14*y + j for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -71474*j**6 - 28236*j**2 + 55?\nAnswer: -8576880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and 44982 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from vvmvymvvvv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -a (base 13) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {h: 2, l: 3, n: 5, e: 10}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j - 30. Give w(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 13795.5 hours?\nAnswer: 49663800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 14 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 174 + -35. Suppose 4*s = 4, 4*m + u = -4*s + 367. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -196.8603 - -4.7703. Let k = 18.2 - 211.2. Let z = n - k. Round z to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u - 6. Let f = 7 - -10. Suppose 0*o - 5*m = -3*o + 111, -o + 20 = 4*m. Suppose -4*y + o = 4*l, -2*l - 2 - f = -5*y. Calculate x(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 - -11. Suppose -3*x - 4*o - 7 = 0, 2*x = -3*x + q*o + 31. Solve x*z = 7*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -8022682 or -8022683?\nAnswer: -8022682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 22.8778656 rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 c when four letters picked without replacement from scgogeggccggcshgshge.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**3 - t**2 + t**2 + (2*t**2 - 3 + 3)*(3*t - 3*t - 2*t) + (-5 + 4 + 3)*(2*t**3 + 2*t**3 - 5*t**3) - 3*t**3 + 2*t**3 + 0*t**3 + 3*t**3 + 38*t - 38*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 + 3*o + 12 - 22.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 251919325*l*x**2 - 582512*l*x + 120*l wrt x?\nAnswer: 503838650*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97 + 38542\/(-395) - (-1 + 2\/5).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 4*h + 61. Let s be v(-16). Which is the nearest to -1? (a) 3 (b) -5\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes after 6:55 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 126 and 33183?\nAnswer: 464562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m**2 + 14*m + 10. Suppose -3*h + 0*h = -9, h = -3*o + 30. What is the units digit of y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 64 - 220 = 0. Let t = c - 48. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + 12 - 34 = 4*n, -n - 7 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/(-60)*(-25)\/15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 4 = 3*k. Let g(j) = -2*j**3 - 2. Let y be g(k). Let h = -37 - y. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -360037 or -360038?\nAnswer: -360037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*x + 2105 = -3*x. What are the prime factors of x?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-1)\/6)\/(2667\/10287))\/3.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*r = 2*a + 74, 4*a - r - 106 = -128 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1*3 - (4\/(-2) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 188964956 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-29 + 5)\/(-4))\/((-36)\/(-63)*3\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 54436908413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26417 is divided by 3828.\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b be 32\/28 - 30\/63. Sort 20, 2\/13, b, 5.\nAnswer: 2\/13, b, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 5, -22, 4, 32 in ascending order.\nAnswer: -22, 2, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 + 9*p + 4. Suppose 0 = -2*c + 6. Suppose -q - 12 = -c. Let m be u(q). Solve m*y - 1 = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22921?\nAnswer: 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 2*o**2 - 5*o + 2. Let p be t(3). Suppose 24 = 3*c + p*m, -2*m - m - 24 = -3*c. What is the highest common divisor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 + 2143 = 12*k. Suppose 0 = 11*j - k - 24. What is the greatest common divisor of j and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in seventy-five halves of a year?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.308 - -0.708. What is the closest to -0.1 in 3, 2, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2707 + 4555. Is 88 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**2 + 2*g**2 + 0*g**2 + 0*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/14 and 3\/(-4) - ((-725)\/60 - 2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -15397 + 15397 + 7*m. Let q(d) = -21*d**2 - 2*d. What is q(s(j))?\nAnswer: -1029*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3\/(-2))\/(18\/(-36)). Let p = 3 - 1. Suppose 5*w = -4*f + 36, 0 = -0*f + p*f - 8. Solve -w*h = -a*b + 2*b + 7, 2*h = b - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1078\/159 + 6\/53. Let o = -1190 - -1185. What is the third biggest value in 3, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -23046 - -23046. Let m(b) be the second derivative of 23*b - 3\/2*b**4 + j - 5\/2*b**3 - 7\/20*b**5 - 2*b**2. Determine p so that m(p) = 0.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*x + 2*l, -2*l - l - 3 = -2*x. Solve 4*r + o - 14 = 0, x*r = -2*r + 3*o + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*w - 5*w = -u + 30, 45 = 2*u - 5*w. Suppose -10*q = -u*q. Suppose 2*n + 2*s + s - 938 = 0, q = 2*s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 6 = -2*h, 2*o - 18 = -17*h + 15*h. What is the first derivative of 31*t**o + 0 + 56 - 1 wrt t?\nAnswer: 124*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*p - 3483 = 154*p - 935 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 5*w = -3*w - 22, 0 = u + 2*w - 6. Suppose -u*j + 427 = -5*x, 0 = x - 0*x - 1. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zop when three letters picked without replacement from {p: 4, z: 5, o: 8}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of -2*y**5\/5 - y**3\/6 - y**2\/2 + 38*y. Calculate w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-5) + (-4)\/(-10). Suppose -9*j + 10*j - 20 = m. Calculate the highest common divisor of 180 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 186 + -185. Calculate the greatest common factor of p and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40 - 18. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 879.6805um in meters?\nAnswer: 0.0008796805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1810 a factor of 90141620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 485 at most as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -134 - -138. Solve -t = v - 1, -5*v + 3 = g*t - 2*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -27, -1\/8, 4\/43?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -1150 + 1178 - (16 + -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 62 (b) 5 (c) -1 (d) 0 (e) 3 (f) 0.109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -420455 + 1?\nAnswer: -420454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 352, -2, 14 in ascending order.\nAnswer: -2, 14, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 4*j - 23. Let m be b(6). Let r be -4 - (0 - 6)\/m. Let f(q) = 19 - 3*q**r - 8*q + q**3 + 7 - 34 + 13. Give f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5116*p**3 - 12014.\nAnswer: 15348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 6 = -18. Suppose -g*f + 25 = -8. Is 11 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 840244.\nAnswer: 2, 79, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 13*b - 1. Let r(f) = -5*f + 1. Calculate -3*l(t) - 5*r(t).\nAnswer: -14*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 - 14*g**2 - 53*g + 40. Determine k(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*c**3 + 52*c**3 - 5*c + 5*c.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*k**3 + 29935*k**2 - 44790240*k - 44820180.\nAnswer: -5*(k - 2994)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.2, -3, 0, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 - 8031*x. Let u(g) = -2303*g. Calculate v(u(l)).\nAnswer: 5303809*l**2 + 18495393*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 24.957 - -0.043. Let l = -19 + c. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 + 18*o**2 + 19*o - 61. Give y(-16).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 12, -2*q - t = 2*q - 349. Let o be (462\/63)\/((-4)\/(-6)). Calculate the greatest common factor of o and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -8 + (16 - (-4 - -8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 - 10*i - 12. Let t be u(-9). Let o be 3891\/1917 + t - -2. Let w = o - 10\/71. Calculate the common denominator of -27\/2 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 16235 + -16234.80002. Let n = -1 + 1.2. Let f = o - n. Round f to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 354401 (base 12) to base 4\nAnswer: 3101121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -995*t**4 - 117 with respect to t.\nAnswer: -3980*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000002300746 rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 436, 1650, 3674, 6508?\n\"Answer: 405*i**2 - i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(-4))\/((-5)\/30). Suppose 80 = -4*j - q*c, 5*j + 4*c + 53 = -47. Let o = j - -20. Let h(m) = -m**3 + m - 6. What is h(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-1540)\/66)\/(-10))\/(2\/((-6)\/1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -10+-1449\nAnswer: -1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42 + 5 + 17 + 2*q - 25 + 19 + 11.\nAnswer: 2*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(88) + sqrt(88)*-1) + (-1*sqrt(88) - sqrt(88))*6 + sqrt(88))\/((-3*-1*sqrt(72))\/sqrt(9)))**2.\nAnswer: 1331\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 18 and 3672?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 67 - 78 = 3*r, 14 = n - 5*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3 + ((2*2*sqrt(85))\/sqrt(5))**2 + (5 + sqrt(17) + 2 + -3)*1.\nAnswer: sqrt(17) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1757221 divided by -5?\nAnswer: -1757221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 6. Sort f, -4, 0 in decreasing order.\nAnswer: 0, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 325.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(78)\/sqrt(6) + -4).\nAnswer: -8 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*h**3*w**2 + h**3*w*z + 2*h**3 - 73*h**2*w*z - 128638*h*w**2*z + 2*h*z - h + 1608*w*z wrt w.\nAnswer: 8*h**3 - 257276*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the first derivative of v**7\/70 + 3*v**6\/40 - v**5\/5 + 27*v**2\/2 - 9. Let w(i) be the second derivative of r(i). Factor w(m).\nAnswer: 3*m**2*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1870896243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4491 is divided by 68.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**2 + 7*j - 5. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -5 + sqrt(3)*-1 + 3)**2.\nAnswer: 14*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 396603, 793322, 1190043, 1586766, 1983491, 2380218, 2776947?\nAnswer: 3173678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -3787, -3855, -3923, -3991, -4059, -4127?\n\"Answer: -68*b - 3719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/5 + (-27)\/(-5). Suppose -126 = 3*a - 10*a. Let w be -4 - 4\/(-8)*a. Calculate the highest common divisor of w and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -7483212 divided by 831468\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 2071186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 13740, 27376, 41012, 54648?\n\"Answer: 13636*o + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 + 175*p - 15 - 581*p.\nAnswer: -406*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 239922827?\nAnswer: 47, 5104741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1929.8 - 1930. Which is the closest to 10? (a) -2\/7 (b) 5\/6 (c) -3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -k - 34 + 2, 40 = 5*s + 5*k. Let b(z) = z**3 + 12*z**2 + 7. Let t be 22\/99 + 220\/(-18). Calculate the least common multiple of s and b(t).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-845)\/(-1352)*8\/150)\/((-1)\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 - 10035?\nAnswer: -10041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 13 - 8 + 2 - 2 + 903*o.\nAnswer: 903*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 10001000111 (base 2) in base 5?\nAnswer: 13340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -332213200222 (base 4) to base 15.\nAnswer: -1693977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2192324 is divided by 730734?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 366 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express ((-2 + 3 + 0)*(-1 + 3 - 3) + 0 + 0 + 4 - 1 + 1 - 2 + (0 - 3 + 5)*(-1 + 5 - 5) - 3 + 2 + 3)*(-3*j + j - 3*j) in the form t*j + c and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -114 - -114. What is the closest to 7 in 1\/4, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (75\/105)\/(4\/14)*(-60)\/75.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 9551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.068, -2, 704?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 51 + 63 = 0. Solve -w*r + 6*r = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4036 - -4036. Which is smaller: w or -6\/553?\nAnswer: -6\/553","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3458759, 6917525, 10376291, 13835057, 17293823, 20752589?\n\"Answer: 3458766*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 19*i**2 + 5*i**3 - 19*i**2 + (6*i - 2*i - 2*i)*(3*i**2 - i**2 - i**2) + 3*i**3 - 3*i**3 - 5*i**3 + 3*i**3 + 0*i - i**3 + 1 + i.\nAnswer: 4*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 4*u**2)*(0*u + 4*u**2 + 0*u) + 2*u**4 + 4 - 4 - 2*u**4 + 3*u**4 - 2*u**4.\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -11075, -22135, -33205, -44291, -55399?\n\"Answer: -o**3 + o**2 - 11056*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-12)\/(-150)*-5 + 304\/10 and 162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 13263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 86 + -2c25?\nAnswer: -2b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = i**2 - 4*i - 17. Determine j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-273)\/(-42)*8\/(-4)*-1. Calculate the greatest common factor of 533 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * -654206.\nAnswer: 1308412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b - 867*b**2 + 238 - 192 + 355 - 2*b wrt b.\nAnswer: -1734*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 4*n - 140. Let w = -1613 + 2103. What is the highest common divisor of n and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 - 26\/9. Which is the third smallest value? (a) -1 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3814*m**2 + 2631*m**2 - 15*m + 11*m to y + i*m + k*m**2 and give k.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -2*f - 2. Let o(n) = n + 1. Suppose 4*v - 173 = -181. What is v*c(g) - 6*o(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 436 and 1342662.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 189 and 35?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -73, -267, -473, -697, -945, -1223, -1537?\n\"Answer: -o**3 - 187*o + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the first derivative of x**4\/4 + 5*x**3\/3 - 12*x**2 + 5*x - 18. Let a be l(-10). Let m = -148 - a. Calculate the remainder when m is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m. Let d be c(2). Let g = -1 - -1. Let a be (g + -4)*-1*1. Solve -2 = q + a*y + y, -d*q = 3*y - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 181511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z - 33. Let d(g) = g - 1. Let c(s) = 5*d(s) - k(s). Let t be c(-4). Solve w - 2*l = -0*w - t, 5*l - 4 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 2*r - 5*r - 63, -r - 12 = 4*a. Let u = 51 + r. What is the remainder when 53 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 + -13. Let m = 5.1 + v. Let j = -5.1 + m. Which is the third smallest value? (a) j (b) 0.4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 3*p**2 + 6*p - 40. Calculate b(-7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(2\/5)*z*z)**(-10\/11)*(z*z**(-1\/3))**39*((z\/z**(-2\/7))\/(z\/z**2))\/((z\/(z**2\/z*z))\/z*z*z**(1\/6)*z*z*z*z) assuming z is positive.\nAnswer: z**(10177\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1562 or 1561?\nAnswer: 1561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(256))\/(sqrt(128) + sqrt(128)*-2)*4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26389315 is divided by 12017.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-11)\/110*(13 + -123) + (-7 - -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.09 + -451.09. Let a = i + 450.2. Which is greater: a or -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 0*w - 2*w + 2*w - 3*w**2. Suppose 2*q - 5*q + 6 = 0. Let p(z) = -4*z**2 + 0*z**q + 4*z**2 - z**2. Calculate i(p(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 32, -4.\nAnswer: -4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (88725\/4446 - 20)*(2 + 12\/(-10))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-38)\/(-30) - (-6)\/(-10). Let k = -8 + 5. Let a = 3.1 + -3. Put i, a, k in increasing order.\nAnswer: k, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -15*j - 9. Let t(p) = -3*p. Let x(d) = q(d) - 6*t(d). Let w(i) = -i**2 - 10*i - 10. Let y be w(-8). Give x(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5121 - (-8)\/(-2))*-1. Let i be (s\/(-15) - 14\/105)*1. Suppose -3*g + 66 = a, -5*a - 4*g + i = -0*a. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 48, 103, 168, 243, 328, 423?\n\"Answer: 5*g**2 + 40*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1253, -1247, -1241, -1235, -1229?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 306119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -282808332 divided by -94269444?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 30\/7 (b) 0.52 (c) -4\/3 (d) -3 (e) -3\/47 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 13278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 304 - 172. Suppose -4*n = -5*c + 76, -4*n + 0*n = 2*c - 8. Suppose -3*j = -c, -5*k + k - 4*j + d = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 489742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -g**3 - 120*g**2*n - 17*g + 5277*n wrt g?\nAnswer: -3*g**2 - 240*g*n - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -12 divided by 18245?\nAnswer: -12\/18245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*o + 1 - 3*o + o + (-3*o + 2*o + 0*o)*(-1 + 0 + 4).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*j**2 + 3*j**3 - 10*j**2 - 60*j**3 - 7*j**2.\nAnswer: -57*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 + 13. Suppose 3*x + 26 = 3*n - x, n - d = x. Suppose 0 = -5*o + 20, 3*h + n*h - 33 = -2*o. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*h - 35 + 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1542 - -140?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/10 - 2\/(-5). Which is the closest to -2? (a) -3 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2a (base 12) to base 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 366 = -3*r + 75. Is 19 a factor of (-8)\/20 + r\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hho when three letters picked without replacement from whhhwwhhhhhhhohhh?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-4*sqrt(135)\/((sqrt(72)*-2)\/sqrt(8)))\/((-1*sqrt(3600))\/(sqrt(12) + (sqrt(1200) - ((-1*sqrt(1200) - sqrt(1200)) + sqrt(1200))))).\nAnswer: -63*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j be 19\/3 - 5\/15. Suppose j*c + 10*c - 7008 = 0. Is 439 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**2\/7 - 652*u\/7 + 53138\/7.\nAnswer: 2*(u - 163)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*d + 40*d = 144 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/7, 5\/4, -0.5 in increasing order.\nAnswer: -0.5, -3\/7, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-525)\/14*201\/(-3015). Factor b*q + 0 - 1\/6*q**2.\nAnswer: -q*(q - 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-842)\/10 + (-66)\/105*(-413)\/118?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*d + 23*d + 30. What is the nearest to -1\/2 in 3\/4, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -34.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 168717986 to the nearest integer?\nAnswer: 12989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -w**2\/4 + 781*w\/4 + 391\/2 = 0. Calculate w.\nAnswer: -1, 782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -8*p - 1. Let g be (0 + 3\/(-3))*-5. Let z(r) = r + 1. Let b(t) = g*z(t) + o(t). Calculate b(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**7\/(c**(5\/3)\/c))**(-29\/3))**(1\/62) assuming c is positive.\nAnswer: c**(-551\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 1 + -2 - 1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 537784.\nAnswer: 2, 13, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of a**6\/6 - 6*a**5\/5 + 9*a**4\/4 - 4*a**3\/3 + 481. Factor n(h).\nAnswer: h**2*(h - 4)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*v + 15*v = -4*z + 53, -5*z - 5*v = -55. What is the lowest common multiple of 8 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(3\/7)*l**(-6))**(-4)*(l\/(l\/l**(-6))*l*l**4)**(-48) assuming l is positive.\nAnswer: l**(488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 29419, 58829, 88239, 117649, 147059, 176469?\n\"Answer: 29410*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*v + 2 + v + 3.\nAnswer: -8*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*f + 21*m + 232 = 19*m, -3*f - 5*m = 52 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 289922330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the third derivative of -217*o**5\/12 + o**4\/6 - 71*o**3\/2 - 171*o**2. Find the second derivative of m(j) wrt j.\nAnswer: -2170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -435*r - 1303. Determine t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -25856759, -51713515, -77570271, -103427027?\n\"Answer: -25856756*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 25343480 divided by -4\nAnswer: -6335870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -5.2, 0.15, 0.2, -4 in increasing order.\nAnswer: -5.2, -4, 0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/3)\/b**(-2\/47))**(-2\/11) assuming b is positive.\nAnswer: b**(-106\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 614.5039 centuries in millennia?\nAnswer: 61.45039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 1. Let c = 6089 + -6087. Suppose 0 = 2*h + 3*h + 20. Let u = h - -9. Let q(d) = -d - 3. Determine c*q(k) + u*b(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 1903*r + 522. What are the prime factors of t(36)?\nAnswer: 2, 3, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 4, 15, 38, 67, 96?\n\"Answer: -t**3 + 12*t**2 - 18*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 20021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 49261217243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.79 - -0.801. Round d to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21868170 divided by 1546?\nAnswer: -14145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 2*n**3 + 61*n**2 - 89*n + 228. Let y be q(-32). Which is the fourth smallest value? (a) -73 (b) 3\/2 (c) y (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the first derivative of b**4\/4 - 2*b**3 + 2*b**2 + 3*b - 3. Let u be h(5). Let t = u + 2. Which is bigger: 4\/7 or t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -270491, -540980, -811469, -1081958, -1352447, -1622936?\nAnswer: -1893425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*w + 0*w + 2*w)*(-4*w**2 - 64*w**2 - 41*w**2) - 14*w**3 + 4*w**3 - 2*w + 11*w**3 + 4*w**3 + 0*w**3 + w**3 + (w - 3*w + 0*w)*(w**2 + 0*w + 0*w).\nAnswer: 113*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 178 - 162. What is the smallest common multiple of 36 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 34*w**3 - 7*w**2 - 12*w + 7. Give q(-3).\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-45)*w*w\/w**(-8)*w)\/(w**46*w**(-4)) assuming w is positive.\nAnswer: w**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -48 - (24 - (8 + (-5 - -8)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -8*z - 117. Let l be j(-15). Suppose -10 = -l*k - 0*m - m, 4*k - 14 = -2*m. Solve -k = -5*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -141*z + 1127 = -17*z - 1849 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -246540 - -246635.0067. Let r = -95 + g. What is r rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, q: 1, b: 2, l: 1}. Give prob of sequence bl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 3*t + 3. Let l be u(-4). Let a = 9 - l. Suppose -b + a = -2. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of v**4\/4 - 2*v. Let x(d) be the third derivative of -d**4\/8 - 7*d**2. Calculate x(l(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 452001914 divided by 26\nAnswer: 17384689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.0064 + 47.0936. Let l = p + -48. Let b = -0.153 + -0.847. What is the nearest to l in b, 3\/2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(2*sqrt(288)*2 + sqrt(288) + sqrt(288) + -1 + 1*sqrt(288))**2.\nAnswer: -168*sqrt(2) + 14113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15.5 + 19.5. Let a = 0.08 + -0.05. Let n = a + 5.97. Sort n, y, -2\/3 in ascending order.\nAnswer: -2\/3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 13*l**2 - 8*l - 6. Let t(s) be the second derivative of -13*s**4\/12 + 7*s**3\/6 + 5*s**2\/2 + 9*s + 197. What is -5*c(o) - 6*t(o)?\nAnswer: 13*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2 = 5*w - 0*r, 0 = -5*w + 2*r + 2. Suppose 0 = -w*f + 4*f + 24. Do f and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 4*s = -44, -668*r - 42 = -336*r - 332*r - 3*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from vvuhppphvvupvhtuuut?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21897 - -21898. Sort y, 12, 3, -5, -3 in descending order.\nAnswer: 12, 3, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 654 is divided by 530?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10824185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*h**4*y + h**4 + 2*h**3*y - 22*h**3 - 181*h**2*y + h**2 - 2*h - 3*y wrt h.\nAnswer: -72*h*y + 24*h + 12*y - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 2*i - 6. Let f be (-1 - -7)\/(i\/6*-1). Let k be (-38)\/(-14) + f\/(-126). Solve 1 = -k*o - 3*d - 14, -25 = 5*o - 5*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-11)\/(-33))\/(3\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**(-7)\/x*x**(-1\/33))**(-13))**(-21) assuming x is positive.\nAnswer: x**(-21112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -0.4, -96, -0.034, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.36533 - 0.349. What is c rounded to 4 decimal places?\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -340, -667, -1010, -1375, -1768, -2195?\nAnswer: -2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -n**3 + 28*n**2 - 16*n - 283. Let a be i(27). Solve -15*l = -a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-1 - 2 + 2)*(5*m + m - 3*m) + (2 + 1 - 5)*(-4*m + 7*m - m))*(0 + 2 - 3) as d*m + t and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1562 + -1541. Solve 0 = x*j - 19*j - 3*y - 3, 0 = -4*j - y + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 21 + 2 - 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -67 - -20. Let y = u + 33. Let c(i) = i**2 + 13*i + 11. What are the prime factors of c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 2*v. Let c(f) = -2*f. Let q(x) = 3107*x**2 + 14*x. Let u(w) = 7*c(w) + q(w). Give m(u(t)).\nAnswer: 6214*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -4 * -1693594.4\nAnswer: 6774377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -14a1a3 - -1165?\nAnswer: -149039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - 2. Let l(i) = 2*i**2 - 2*i**2 - 3 + i + 4 - 5*i**2. Determine l(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12825 and 108525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -677366175 divided by 5?\nAnswer: -135473235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)\/sqrt(75))\/(sqrt(27)\/(sqrt(18)\/sqrt(2))).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -6*r + 11*r. What is a in -2\/5*a + 1\/5 + 1\/5*a**r = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/41475 and -82\/9195.\nAnswer: 25424175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -101*s + 191706 = 258*s. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**3\/7 - 54*a**2\/7 - 116*a\/7.\nAnswer: 2*a*(a - 29)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-32)\/(-96))\/(1 - 14\/15). Sort u, 3, -5, 2 in descending order.\nAnswer: u, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21123 = -8*v - 5*b - 21069, -3*b = -5*v + 46 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 34, 173, 458, 937, 1658?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**2 - 16*x - 19. Suppose -18*y - 345 = 5*y. Calculate i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*4\/2 - 165\/(-15). Let v be (-38)\/8 - (w\/(-4))\/3. Is 3134\/(-2)*(v - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 14 = -2*k. Let f(z) = -3*z - 4. Let g be f(-2). Let u(x) = -x**2 - 3 - 14*x + k*x - g. What is u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (f - f - 2*f**4)*(1 + f - 1) - 50162795*f**3 + 50162795*f**3 + 4305*f**5.\nAnswer: 4303*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2326813*w + 3388460 wrt w.\nAnswer: -2326813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12\/15*6\/((-30)\/(-25)). Let v(s) = 6 - r*s + 3 + 0 + 3*s - 7. Determine v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 145 - -223035?\nAnswer: 223180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, w: 1, k: 1, a: 1, c: 1}. What is prob of sequence kwa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 - 36\/(-15))*-5. Suppose -128 = 12*j - 164. What is the second derivative of -3*l + 12*l + 13*l**j + 13*l**3 + b*l wrt l?\nAnswer: 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = -j + 4. Suppose -u - 14 = j*s, -5*u + 0*s + 26 = -4*s. Let v be (0*u\/(-6))\/(-2). Solve 25 = -v*c + 5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + 25 + 3 + -68 + -23 + 7?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2464 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 l = -1639 - -1657. Solve -l = 15*o - 48 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -13*n**2 + 12*n - 18. Let f(u) = -13*u**2 + 11*u - 17. Let o(l) = -6*f(l) + 5*s(l). Let q(r) be the first derivative of o(r). Does 13 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((1104575\/(-452))\/85)\/((-1)\/(-12)*5)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 + -1)*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 568\/7 + -6499\/70. Find the common denominator of o and 43\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -41*x**2 + 143*x**2 - 128*x**2 + 14 + (x + 2 - 2)*(2*x + 5*x - 6*x) + 2*x**2 - 2*x + 2*x to the form s*x + v*x**2 + f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*q**2 - 8*q**2 + q**2)*(-5 - 2*q**2 + 5) + 0*q**4 + 0*q**4 - 2*q**4.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 0 - 1)*(-2*y**3 - y**3 + 2*y**3) - 428674 - 28118*y**3 + 428674 + y**2 in the form x*y**2 + m + k*y + z*y**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 598169?\nAnswer: 11, 13, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3875 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*c - 4037 = -69147. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 85600 - 85597. Let v = 6 - 6. Solve -2*o - o - r = v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 22, -0.5, -0.3 in ascending order.\nAnswer: -1, -0.5, -0.3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 12:42 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -1193 greater than or equal to 2\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -15\/3704 and -75\/14?\nAnswer: 25928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(5) + 0 + -2 + sqrt(5) - (1 + sqrt(5))*-5)**2)*1.\nAnswer: 42*sqrt(5) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -103 - -511233?\nAnswer: 511130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**3 + 7*n**2 + 4*n - 5. Let v be ((-2)\/(-3))\/((-8)\/(-156)). Let c be 2\/v - 350\/(-91). Let u = -2 - c. Determine g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 43*x + 76*x + 595. Put 374, x, -8 in decreasing order.\nAnswer: 374, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1622.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 271 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 2283077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*m**2*p**3 - 39975999*m**2*p + 11*m*p**2 + 10241*p**3 wrt p?\nAnswer: -24*m**2*p + 22*m + 61446*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -32497*m**2*r**2 - 9541*r**2 wrt m.\nAnswer: -64994*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 6529*x**3 - x**2 + 34*x - 137. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 86303 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2.686007 centuries in years?\nAnswer: 268.6007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 + 0.2. Let p = -33\/7 + 349\/77. Which is the closest to 2\/5? (a) p (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80567824?\nAnswer: 2, 61, 82549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 18747 by -9.\nAnswer: -2083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12243\/5 - 2439. Let k(n) = n**3 + 12*n**2 - 41*n - 60. Let b be k(-15). Calculate the common denominator of q and (-4)\/30 - 332\/b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*8*((-1)\/(-12))\/((-158)\/(-1896))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13428\/1003 or 14?\nAnswer: 13428\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -3*b + 22, b = -b - 3*h + 16. Factor 2*m**5 - 2*m**3 - 7*m**4 + 0*m**5 - b*m**2 + 9*m**4.\nAnswer: 2*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 5:55 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 67*r - 165. Let b(k) = -1177*k + 2794. Let v(x) = -24*x + 57. Let d(q) = 2*b(q) - 99*v(q). Let c(f) = -17*d(f) + 6*g(f). Differentiate c(o) wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 443, -3, 6392 in descending order.\nAnswer: 6392, 443, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 7*z. Suppose z = -45*a + 49*a - 56. Calculate the remainder when 132 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*l - 99 = -171. Suppose -4*v - 32 = -4*n + 2*n, v + 3*n = 6. Is l\/v - (-93)\/9 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*v**2 - 3*v + 8 + 29 + 99 wrt v.\nAnswer: -6*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 116 + -113. Suppose -h - 10 = -z*s + 7*s, 18 = 5*h + 3*s. Solve 5 = -5*m + h*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 34136 and 4?\nAnswer: 34136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -195.83 (b) 19.03 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minus 317.1370379736?\nAnswer: -307.1370379736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-2) - 55\/(-10). Suppose -t - 2*t = -d. Let k(c) = -2*c**2 + 2*c**t - 5*c**2. Let y(i) = -3*i**2. Determine y(k(u)).\nAnswer: -75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v + 2*n = 3*v + 7, 28 = 4*v - 4*n. Let m be v\/((-3)\/(-2)) + 2. Let p be ((-2)\/2 - 2)\/m. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o*o**(-3\/2))*(((o*o\/o**(-4\/7))\/o*o*o*o)\/o*o)\/o)\/((((o\/o**3)\/o)\/o)\/o)**31)**37)**20 assuming o is positive.\nAnswer: o**(829170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/75 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of -a**7\/105 + a**5\/5 - a**3\/2 - 7*a**2. Find the first derivative of x(s) wrt s.\nAnswer: -8*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -1007*r. Let l(m) = 2038*m - 1. What is -5*c(k) - 2*l(k)?\nAnswer: 959*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 828036 and 531828?\nAnswer: 65414844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 17*n - 18*n - 3*k, -4*k = 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2 (c) 345 (d) 4 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 288 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 452504*y**3 - 18*y**2 + 49720605?\nAnswer: 1357512*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes after 11:12 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (413*j - 3 - 124*j - 212*j)*(-3*j**3 + 0*j**3 + 0*j**3) in the form g*j**2 + c*j + u*j**4 + a + h*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 2*q**3 - 25*q**2 + 7*q + 67. Let n be p(12). Solve n*x - 9*x + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 1)*(-3 + 14 - 4)*(-2*l + 5 - 3 - 1) + (-27 + 7*l + 27)*(1 - 2 + 0).\nAnswer: -35*l + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3\/35 - 2\/7. Let t = 33.1 - 33.2. Which is the nearest to t? (a) -3 (b) 1\/6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2*(-13)\/((-234)\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -1 - ((5 - 8) + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.3, -4, 1.1, 5 in ascending order.\nAnswer: -4, -0.3, 1.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 459 times -895287\nAnswer: -410936733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*t = -20*t + 18. Let d = 0 + 1. Put 2, t, d in ascending order.\nAnswer: d, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21.5 times 999?\nAnswer: -21478.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 22\/37111499 and -35\/22.\nAnswer: 816452978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -79335*v**3 - 1722*v + 861. Let n(c) = 369*c**3 + 8*c - 4. What is -861*n(k) - 4*q(k)?\nAnswer: -369*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 4054255 (base 6) to base 2\nAnswer: 101111011000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-2*sqrt(64))\/sqrt(4) + sqrt(16))\/(sqrt(8) + sqrt(800) + (sqrt(800) - (sqrt(800) + sqrt(800)*1))) + 5)**2.\nAnswer: -10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 401 + 430?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -41*i - 7*i + 111 - 63. Which is smaller: 2\/243 or i?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 20.17 - 20.17. Which is the biggest value? (a) -0.3 (b) 6.1 (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 12485559 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -4*h**2 + 128*h + 76. What is the remainder when o(26) is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -2\/5 (c) -1.198 (d) -390\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.2, -16.17, 17, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 86958, 86864, 86770?\n\"Answer: -94*c + 87052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r**2. Let q(h) = 10*h + 6. Let m(c) = 9*c + 5. Suppose -7*s + 4*s = -18. Let k(j) = s*m(j) - 5*q(j). Give k(i(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -39, -94, 12 in descending order.\nAnswer: 12, -39, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -8 + 19*h**2 + 18 - 9*h - 21*h**2. Calculate v(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 5*q = 24. Let z be (-46)\/q + (-1)\/(-2). Let g be ((-12)\/z)\/(-1 - 4\/(-5)). Let o(k) = k**3 - 3*k**2 - 7*k. Give o(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -10\/57 in -241, -1\/2, 139?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72)\/sqrt(3) - sqrt(24) - sqrt(24))\/sqrt(8))**2*-4 + -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = s + 2*s. Let n(y) = -2*y + s - 8 + 3*y - 3*y**2. Suppose -h = 7*h + 40. Let c(j) = -4*j**2 + j - 5. What is h*n(t) + 4*c(t)?\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-1 + sqrt(363) + sqrt(108) + 0))**2.\nAnswer: -306*sqrt(3) + 7812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -654225222 and -0.3.\nAnswer: 196267566.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 4*j + 9. Let b(x) = 3*x. What is b(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-23530961.\nAnswer: 2353096.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 11:52 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.61 + 0.11. Let q = 1.48 + z. Let u = 0.22 + q. What is the biggest value in -2, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -120 - -180. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 290216088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 49545 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: Let v = -220 + 81. Let k = 5495 - 5495.5. Sort v, 3, k in decreasing order.\nAnswer: 3, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.24430684+30\nAnswer: 29.75569316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 5*z**2 - z - 2. Let v be p(-2). Let l = v + -12. Let u(q) = 4*q**3 - 2*q**2 - q + 1. Let a be u(3). Calculate the greatest common divisor of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -8, -20, -2\/11, -37, 5170, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 799 is divided by 164.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 2*f**2 - 3*f - 3. What is r(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.91 + 0.11. Let p = -96892.19982 - -96893. Let l = p + h. What is l rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a factor of 733324640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -81*45\/270*((-9)\/20 + 33\/(-44))?\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-65)\/(-52)*-2)\/(1\/(-2)). Let i(t) be the second derivative of -1\/14*t**2 - 1\/210*t**6 + 3*t + 0*t**a + 0 + 0*t**3 + 1\/42*t**4. Factor i(u).\nAnswer: -(u - 1)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(2*(sqrt(88)*-2 - sqrt(88)))\/sqrt(288).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((-4*sqrt(98)*-2 - sqrt(98)) + sqrt(98))*-4 - -2*sqrt(98)*-6*6)*-1)**2.\nAnswer: 1059968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1527019 - -808019. What is a rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.460302 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 117 + -465\/4. Let w = -10.4 - -10.9. What is the third smallest value in c, w, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + 1122012?\nAnswer: 1122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -3*h**5\/8 + 15*h**4\/4 - 33*h**3\/4 + 3*h**2\/2 + 69*h\/8 - 21\/4 = 0. What is h?\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - v = -2, 3*l = -4*v + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(12\/7)\/((o\/o**18*o*o)\/o)*(o\/(o\/(o**16\/o)))\/o**18)**(5\/14) assuming o is positive.\nAnswer: o**(515\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103*z - 480 = 79*z. Let f be 11848\/z - -2 - (-10)\/(-25). What is the greatest common factor of 54 and f?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 4 (c) -3 (d) -2 (e) -27 (f) -67141 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 1687*w - 1685*w - 3*t - 2026988, -5*w = 4*t - 5067516. What is w rounded to the nearest ten thousand?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a + 129 + 131 - 392 + 132 + 1182292*a**2 - 1182276*a**2.\nAnswer: 16*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -418 - -418.1. What is the nearest to i in -3, 1, -4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*o**3 - 4*o**2 + 4*o**2)*(-o - 2*o + o + (0 - 5 + 4)*(-o - 3*o + 6*o) - o - 1 + 1)*(5*o - 5*o - 3*o) - 3*o**5 + o**5 + 0*o**5.\nAnswer: -107*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 12*w**2 - w - 1. Let y be u(-1). Let n be (2\/(-6))\/((-4)\/y). Let x(c) = 48*c**2 + 1. List the prime factors of x(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*4*(-5*(sqrt(200)*-1)\/sqrt(10))\/(1*sqrt(1210)*-6).\nAnswer: -20*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 53*h. Let k(v) = 6708*v**2. Calculate r(k(t)).\nAnswer: 355524*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/9, 0, -1\/10, 64432?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.074 (b) 2 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000003072 to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4484 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = r**2 + 8*r - 35. Let h be u(-10). Is (-490)\/h*4*12\/32 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 34\/51*-6*(-34)\/8. Solve 0 = 22*h - x*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12065 is divided by 3881.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 715*y**4 + 2032*y**2 - 259*y**4 + 1423*y**2 - 2902*y**2 wrt y?\nAnswer: 10944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2888*w = 905*w + 35694 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5827 and 4217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -104 - 2031035?\nAnswer: -2031143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11.94655*2.9.\nAnswer: -34.644995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16151.\nAnswer: 31, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dcbbccbb. Give prob of picking 3 b and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 AM and 7:20 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111010100110 + 110011001011?\nAnswer: -111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 1091 divide 321062753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -78054 - -50868. Is 42 a factor of n\/(-36) + 20\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -167 by -167.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 8) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ecb when three letters picked without replacement from {c: 2, b: 6, u: 2, e: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 13 + 4763*d + 7)*(-2*d**2 - 3*d + 2*d + 0*d) to g*d**3 + r*d + q + c*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -37 = 5*a - 3*j, -358816*a - 3 = -358817*a - 2*j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50304748?\nAnswer: 2, 13, 61, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 697737 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 339 (base 10) to base 9\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 14*w**2 - 29*w - 241. Let a(v) = 5*v**2 - 9*v - 80. Let d(m) = 11*a(m) - 4*g(m). Let n be d(21). Solve 2\/3*x**2 - 4\/3*x + n = 0 for x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 438265 and 2553851.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32 - 21. Let g be 2 - ((-15)\/1 + 2). Let s(k) = -g*k + 35*k - 17*k. Let l(p) = -16*p - 1. What is w*s(i) + 2*l(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -874*j + 323. Let p(y) = 1748*y - 539. Calculate -3*p(c) - 5*w(c).\nAnswer: -874*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29409 - 26\/(-3)*(9 - (-2214)\/(-234))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16108389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + j - 2. Let g = 231 - 4159\/18. Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 1140*l**2 - 4 - 3 - 5 + 1140*l**2 - 2278*l**2.\nAnswer: 2*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2*w)*(281*w - 281*w + 45*w**2) - 4*w**3 - 3*w**3 + w**3.\nAnswer: 84*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (-11*q + 17*q + 14 - 7*q)*(11*q + 2 - 2) in the form d + h*q + j*q**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69300\/(-3234)*(-21)\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 9\/7, 10, 1497?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (12\/(-7))\/((-8)\/28) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**3\/2 + 9*k**2\/4 + 3*k\/4.\nAnswer: 3*k*(k + 1)*(2*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7676, -7678, -7680, -7682?\nAnswer: -7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14? (a) 0.2 (b) -5 (c) -3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(15\/(-10)))\/(16\/(-120)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 30, 23, 12, -3, -22?\n\"Answer: -2*f**2 - f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2889929743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q + 10. Let i = -146 + 141. Let c be x(i). Solve c*u + 4*w = 28, -14 - 4 = -3*u - 3*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -39420*p**2 + 40727.\nAnswer: -78840*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2894158940.\nAnswer: 2, 5, 144707947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h**3 + 482*h - 1454. Give x(3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6? (a) -1 (b) -0.3 (c) 0.049 (d) -0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.14, 0.1, -22, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11113 - -11?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from yftmnfk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kv when two letters picked without replacement from {v: 6, x: 1, h: 5, k: 5}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - 5*k**2 - 6*k. Let p be u(6). Suppose p = -4*c + 8, f + 4*c + 83 - 322 = 0. Calculate the remainder when f is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/(-30) - 24*(-186)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/(-6)*15\/(-2). Suppose 4*y - l*q - 25 = -y, -2*y = -4*q. Calculate the remainder when 28 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4345064*c**2 + 3576822?\nAnswer: -8690128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-392)\/392 - (29\/(-9) + 2). What is the closest to 0.1 in -0.204, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19 + -31. Let w = -707 + 694.888. Let h = w - v. Round h to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -119, -236, -359, -494, -647, -824, -1031, -1274?\nAnswer: -1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 290 = -284. Let o(w) be the second derivative of 0*w**h - 8*w + 2*w**2 + 0 - 1\/12*w**4. Suppose o(v) = 0. What is v?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3435 - -3510. What is the remainder when 1497 is divided by d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-105*(-14)\/1372)\/(75\/60).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of -31*m**3\/3 - 5. Let w(k) = 2*k. Calculate w(v(r)).\nAnswer: -62*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h - 2. Suppose -15 = 3*s - 2*v, -15 = 3*s - 3*v - v. Let z(m) = -m**3 - 6*m**2 - 4*m + 3. Let x be z(s). Give k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 17*b**2 - 26*b**2 + 4 - 3*b**3 + 11*b**2 as a + d*b + i*b**3 + q*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 168 is divided by 84.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*r**2*y**3 - r**2 + 2*r*y - 16736*y**3 + 24783 wrt y?\nAnswer: -24*r**2*y - 100416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1193 is divided by 255.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the second derivative of -15\/4*p**4 + 1\/2*p**6 + 1 + 0*p**2 + 38*p + 0*p**3 - 13\/2*p**5. Find l, given that v(l) = 0.\nAnswer: -1\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-6)*r*r**(-2\/7)\/r*(r**(2\/15)*r)\/r**(-2))**(11\/2) assuming r is positive.\nAnswer: r**(-3641\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3126, 3128, 3130?\n\"Answer: 2*p + 3124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -27*d - 617. What is the hundreds digit of j(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 9*w**2 - 6*w - 4. Let j(d) = -4*d**2 + 3*d + 2. What is -5*j(a) - 2*n(a)?\nAnswer: 2*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from hlrgkkrkkllk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tttrtttxtctttxttctx. Give prob of sequence ttcr.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0505291633 rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -1\/5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1097427423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -23945 - 23234.94?\nAnswer: -47179.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*u + 4*u + 1358 - 1368. Let y(t) = 81*t**3 - 54*t + 54. Let c(z) = -z**3 + z - 1. Calculate u*y(i) + 54*c(i).\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1731511073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 61999469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 12 + -6 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, -3, -298\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 41217 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -173*g**2*x**3 + 2*g*x + 14*x**3 wrt g.\nAnswer: -346*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1268207 divided by -52.\nAnswer: -1268207\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s**2 - 309*s + 312*s - 2 + 2 + 63*s**2.\nAnswer: 67*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 2*q + 30, -2*q + 10 = 3*o - 2*o. Solve -5*y = 4*d - o, 4*d + 10 = 5*y - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 659 a factor of 403728051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y**2 + 23*y + 16. Let w(r) = -r**3 - r**2 + 2*r. Let j be w(-3). Let m be q(j). Solve i = -0*i + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.809081 millimeters in nanometers?\nAnswer: 5809081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 592\/74*(-4)\/16*-14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*m - 9*m + 3*d + 229905, 0 = -3*m + 2*d + 229901. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 - 147*4\/(-6). Let g = 102 - x. Suppose -9*o = -g*o - 717. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*z + 32 + 374 = -94 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/1332 and -31\/126.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -210*0.0294.\nAnswer: -6.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (7\/21)\/((1*-3)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10946451?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (25\/100)\/(2\/(-56)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 9*w + 8. Let s(l) = 11*l + 10. Calculate 3*a(o) - 4*s(o).\nAnswer: -17*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1621855 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 17 = -w, w - 2*s + 11 = -15. Let n(c) = -120*c + 59. Is n(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*r + 5*u - 140, -140 - 2 = -8*r - 6*u + 3*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 5\/4 (b) 1\/5 (c) -5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 925 is divided by 301?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that -4*j**2 + 31321736*j - 156608580 = 0.\nAnswer: 5, 7830429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 16\/11, -0.4, -3, 0.3?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 65.2 + -60.19. Let g = -0.01 + q. Let h = g - 6. What is the closest to 2\/3 in 1\/12, -5, h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2668 + 2702. Solve -16*w + t = 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o**(8\/5)\/o))\/(o**(-7)\/o))\/(o**(4\/7)*o\/(o**(-19)\/o)*o*o))**4 assuming o is positive.\nAnswer: o**(-2124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*x - 6042 = 2*j - 6034, -2*j + 2*x = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 2397.7593s?\nAnswer: 0.02775184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-1)\/(u\/(u*u**(7\/5)))*u**(-12)*(u\/((u*u\/u**3)\/u))\/u*u*u*u assuming u is positive.\nAnswer: u**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*b = 20*b + 7. Suppose 2*c + 25 = 1. Is (c\/b)\/((-2)\/(-14)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8896, 17809, 26722?\nAnswer: 35635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(99)*2 + sqrt(99)))\/(sqrt(9)*3*6).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 - 3)*(-2*x**2 - 10*x**2 + x**2).\nAnswer: 77*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*22 - (1 + 0). Suppose 5*n + 151 = 601. Let s = o + n. What is the remainder when s is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.7 from 0.0175.\nAnswer: -0.6825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -38 times -12\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2741, -10963, -24673, -43877, -68581, -98791, -134513, -175753?\nAnswer: -222517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6 - -42a0?\nAnswer: 42a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = 1 + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 14, -8.3, -57, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -16400, 0, 1 in decreasing order.\nAnswer: 1, 0, -16400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 2. Suppose -4*s + 0*s = a. Solve n + 3 + 2 = s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 17, 26, 51, 98, 173?\n\"Answer: i**3 + 2*i**2 - 4*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1434*q - 686 + 10735*q - 1618*q + 686 as r*q + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the first derivative of -l**4\/2 - 495*l**3 - 7987*l**2\/2 - 196. What is the second derivative of m(w) wrt w?\nAnswer: -12*w - 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 3*z + 5, 6 = 5*a - z - 5. Let n be 10 + -11 - (-68)\/a. Let b = n - -36. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -4*r**2 + 108*r + 114. Let k be n(28). Put k, -2, 5, 0 in increasing order.\nAnswer: -2, 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 122051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 48 or 2308552?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38138413.\nAnswer: 38138413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1907, -5 in ascending order.\nAnswer: -1907, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20190 divided by -673.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, -5, -380, 13, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v - 1. Give t(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -10002 (base 3) to base 14.\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-396)\/(-55))\/(2\/5). Suppose 7*s = 4*s - h. Let m(g) = -g**3 + 13*g - 2. Is 25 a factor of m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 8, b: 2, s: 4}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -26*o + 102. Calculate the remainder when i(-8) is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -299 + 147 + 152 - 10313179*g**2.\nAnswer: -10313179*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a + 13 - 22 + 7*a + 0.\nAnswer: 8*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/297 and -11\/243.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f**(-10)\/f))\/f**(-2\/9))\/(f**(-1)*f\/((f**(-3\/8)\/f)\/f)) assuming f is positive.\nAnswer: f**(709\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 607 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, 0.3, -0.2, -1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 836593090 rounded to the nearest 1000000?\nAnswer: 837000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor x**2\/4 + 1439*x\/4 + 100637\/2.\nAnswer: (x + 157)*(x + 1282)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes before 2:53 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y + 2 - 2)*(-69*y**4 - 136*y**4 + 53*y**4 + (-2*y + 2*y - y**4)*(-3 + 1 + 4)).\nAnswer: -770*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*f - 25*f = 840 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.5 - -7.5. Let j = 5.6 - s. Which is the third smallest value? (a) 4 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48537439?\nAnswer: 263, 184553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of -p**4 - 4*p**3 + 16*p - 27. Factor v(d).\nAnswer: -4*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the first derivative of -7*y**6\/6 - y**2\/2 + 6. Find the second derivative of s(h) wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*y**3 - 20*y**3 + 0 + 61*y**3 - 19*y**3 + 2 + y**2 to b*y**3 + p*y + r + q*y**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8.16 + -8089.2.\nAnswer: -8081.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -259*u = 214*u - 423*u. Let y(q) be the first derivative of 8*q**3 - 11\/4*q**4 + 0*q - 31 + u*q**2. Find the third derivative of y(h) wrt h.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r + 28*d + 20 = 0, 5*r - 76 = 487*d - 483*d for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (k**2 + 0*k**2 + k**2)*(3 - 3 - 2)*((-1 - 1 + 1)*(-3 - 1 + 5) + 7 + 4 - 4) to the form p*k**2 + s*k + v and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: What is the lowest common multiple of 925 and 320?\nAnswer: 59200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2)*(0*c**4 + 2*c**4 - 3*c**4) + ((-2*c**2 + 2*c - 2*c)*(4 - 6 + 4) - c**2 - c**2 + 0*c**2)*(0 + 0 + 3*c**2).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19 + 21*h**3 - 10 + 29.\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2543488501.\nAnswer: 2543488501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 61 + -41. Let x = i + -10. Suppose 6*d = 4*d + x. Solve 7 = d*w + 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:04 PM and 12:46 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 142, 455, 848, 1213, 1442, 1427?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the first derivative of 0*z**3 + 0*z + 18\/5*z**5 + 0*z**4 + 21\/2*z**2 - 8. What is the second derivative of n(s) wrt s?\nAnswer: 216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of x**5\/12 + 53*x**4\/24 - 37*x**3 - 34*x**2 - 1. What is the derivative of j(t) wrt t?\nAnswer: 10*t + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 4*u = 0. Let d = u - -2. Suppose -d - 63 = -5*r. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87*x - 1432 + 419 = 727. Calculate the least common multiple of x and 30\/4*8\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.039077 to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 - -3. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 11, 27, 49, 77, 111, 151?\n\"Answer: 3*c**2 + 7*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*v - 47*v = -20. Let h(n) be the third derivative of n**2 + 0*n**4 + 0*n - 1\/30*n**v + 0 + 1\/2*n**3. What is the first derivative of h(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9885 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**0\/s**29)**7 assuming s is positive.\nAnswer: s**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + s - 9. What is c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:12 AM and 7:32 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x. Let b(i) be the second derivative of -i**6\/8 + 23*i**3\/2 - 2*i + 10. Let l(t) be the second derivative of b(t). Calculate k(l(f)).\nAnswer: -90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 44.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - -4. Suppose 120 + 42 = 6*s. Let d = s - n. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 + 6*f**2 - 2. Let o be q(6). Let b = 17 + o. Suppose b = 4*s + s. Solve s*c + 6 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:20 PM and 5:32 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 29865.942 less than -4?\nAnswer: -29869.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**2 + q - 23. Determine u(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.03 in -0.05, -4, 5\/103, -5, 2\/3, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18\/21*(-42)\/(-9). Let m be j + ((-2)\/6)\/((-1)\/(-3)). Suppose -m*d + 2130 = 3*g, -3*g + 2*d + 3025 = 900. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 18\/4 + 2*2\/(-8). Suppose 5*c - 395 = i*y, 4*c - 310 = -2*y + 4*y. Let b = 53 + -15. What is the remainder when c is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -268, 4, 3?\nAnswer: -268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 8*b**5 - 1022*b**4 - 3384*b**3 - 2878*b**2 - 524*b = 0. Calculate b.\nAnswer: -2, -1, -1\/4, 0, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - i = z, 0 = -2*z + 5*i + 9. Let c(l) = -35*l - 9. Let b be c(z). Is ((-4)\/(-2))\/(6\/b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5531 + -2787. Suppose -j + 684 = 2*q, -4*j - q + n = 3*q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 262 + -145. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 194420 divided by -97210?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 7 (c) 1\/2 (d) 2\/15 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 389050 is divided by 35367.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**2 + 10*g + 28. Let s be u(12). Suppose -s*x - 2*z = -260, 2*x = 5*x + 2*z - 195. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -37 + 12. Solve 0 = k - j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by -39938813.\nAnswer: -4\/39938813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 102, 85, 68, 51, 34?\n\"Answer: -17*f + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of -17*c**8\/336 + c**5\/5 - 3*c**2 - 19*c. Let s(p) be the first derivative of i(p). Find the third derivative of s(x) wrt x.\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes after 3:42 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -41, -33, -13, 25, 87, 179, 307?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(52)*-1)\/sqrt(4) + ((-1 + sqrt(832))**2 + sqrt(13) - sqrt(13)).\nAnswer: -17*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -98, -1\/4, 2\/5, 84 in descending order.\nAnswer: 84, 2\/5, -1\/4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16132846.\nAnswer: 2, 97, 137, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-132)\/(-36))\/(2\/21)*-2. List the prime factors of ((-14)\/a - (-51)\/22)*74.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(6*((0 + sqrt(567) + -3)**2 + sqrt(567) + sqrt(567)) - (((sqrt(28)*6)\/sqrt(4) + sqrt(7) - sqrt(7))**2 + (5 + sqrt(7))**2*-4)).\nAnswer: -704*sqrt(7) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2*i**2 - 4*i - 3. Let t be 16\/(-12)*-9 + -4. Suppose 0 = 2*w - g + 2*g + 2, 0 = 4*w - g - t. Suppose w = -2*y - 3. Determine o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 - -68. Suppose -3*p + a + 5 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 7, n: 7}. Give prob of sequence nf.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 250197458\/9 or 27799717?\nAnswer: 27799717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -732842 (base 10) to base 8.\nAnswer: -2627252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-24)\/(-36)*(-8)\/(-24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 - -1d224a8?\nAnswer: 1d224a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 + -5)*(5 + (9 - 15)). Let q(i) = 2*i**2 - 5*i + 7. Let y(c) = -c**2 + 3*c - 3. What is h*q(z) + 5*y(z)?\nAnswer: -z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 - 3 = p. Let r be ((-1)\/1)\/(p\/(-8)). Suppose -3*l - x = -64, -r*x + 1 + 22 = l. What is the remainder when 39 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**1*v*v**(-1\/4)*v*v)**(4\/9) assuming v is positive.\nAnswer: v**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -149*f**2. Let r(v) = -21*v. Calculate r(u(k)).\nAnswer: 3129*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, -5, -3, 144722.\nAnswer: -5, -3, -2, 2, 144722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 875 and 2125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-79*h**4 + 9353 - 9353)*(5 - 5 + h) + (-2*h**3 + 2*h**3 - h**3)*(2 - 2 + h**2).\nAnswer: -80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 4 = -2*d, -2*d + 2 = 2*d + 5*p. Suppose -3*r + 15 = 0, -d*f + 4*r = 2*r - 2. Differentiate -24 + 22 - 3*i**4 + 0*i**f wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9493004.213 to the nearest 1000.\nAnswer: -9493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52951821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Expand (b**2 - b**2 - 2*b**2)*(-b**2 + 2*b**2 + b**2) + 3*b**4 - 3*b + 2*b**4 - 2*b**4 - b**2.\nAnswer: -b**4 - b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 193959, 193945, 193907, 193833, 193711, 193529, 193275, 192937?\n\"Answer: -2*x**3 + 193961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l - 32491 = -r - 32271, -4*r + 34 + 98 = -5*l + 2*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -4, 4\/3, -14, 0.4, -0.4 in decreasing order.\nAnswer: 4\/3, 0.4, 0, -0.4, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 113879677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, l: 17}. What is prob of sequence ql?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be (11\/2 + -1)\/(3\/6). Suppose 0 = k*d - 4*d - 685. What are the prime factors of d?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.06 in 0.4, 0.23, 5?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*6*(2 + (5 + sqrt(684) + -1 + sqrt(684) + sqrt(684) + (sqrt(684) + 0 + -5 - sqrt(684)) - (-6*(-2*sqrt(684) - sqrt(684)) + sqrt(684) + -1 + 0))))**2.\nAnswer: -345600*sqrt(19) + 157597200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 313 divided by -10.\nAnswer: -313\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2\/8 - 3929*f\/2 - 15437041\/2.\nAnswer: -(f + 7858)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 211*a = 205*a - 30. Sort -2, -1, 5, a in descending order.\nAnswer: 5, -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 15*i**2 + i - 22. Suppose b - 10 = -5*t, 2*b + 0*t + t - 29 = 0. Calculate k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3987304*w**5 + 116*w + 135731?\nAnswer: 79746080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d + 3. Let q be a(-4). Let c(y) = -y**2 - 11 + y**2 - y**2 + 2 + 10*y. Let w be c(q). Solve 5*v = -3*m + 12, -5*v = -3*m - 0 + w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 plus -549152.51?\nAnswer: -549152.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 13 + 562?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -1.0727 plus -14.2?\nAnswer: -15.2727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*d + 4*d + d)*(-2*d**4 - 5*d**2 + 5*d**2) + 6*d**5 - 2*d**5 - d**5.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 38b96 (base 12) to base 7.\nAnswer: 442422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*d + 23*d - 13*d - 26 = -6*p, 0 = -2*p + 4*d - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 512448709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 3, n: 5, l: 3, s: 3, p: 4}. Give prob of picking 4 p.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.145087664 rounded to 3 dps?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 448*l**2 + 177*l**2 - 72*l**2 + 89*l**2 + 78*l**2 - 28*l**2.\nAnswer: 692*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 82732883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:22 AM and 1:15 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13492 or -13491?\nAnswer: -13492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20 + -16.8. Let x = 3.1 - y. Let i = -0.9 - -0.8. Which is the nearest to x? (a) 0.1 (b) i (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3020 and 0.3?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 80 + -76. Let y be 6\/8*1\/(-3). Which is the closest to y? (a) p (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 16, i: 2}. What is prob of sequence li?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2086\/81783?\nAnswer: -2086\/81783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(171) + -4*-4*sqrt(171))*2)\/((sqrt(1089) - -4*sqrt(1089)*-3) + (-3*-3*sqrt(1089) - sqrt(1089))).\nAnswer: -68*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w + 10. Let l be 38\/(-4) - 9\/(-6). Let x be o(l). Solve -8 = -x*a + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 12*n - 922 + 919 = 0, n - 37 = 2*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2.2647929 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = 3*m - 12, 61*r + 6 = 64*r for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -42 + 45. Put -1\/7, w, -5 in decreasing order.\nAnswer: w, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 27? (a) -2\/11 (b) -0.4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 561*q + 5 = 556*q + 5*h, 5*h = q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(4400) - sqrt(4400)*1*-6))\/(sqrt(64)*3 - (2*sqrt(784) + sqrt(16))).\nAnswer: 140*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -5, -8\/43, 4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 j when three letters picked without replacement from {d: 2, s: 4, v: 2, w: 3, j: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(-60))\/((-256)\/(-3840)). What is the fourth smallest value in -0.5, c, -0.08, -108?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8288 + -8306.965. Let m = 0.235 - h. What is m rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 560 = -20*i + 27*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 852, 5, 63 in descending order.\nAnswer: 852, 63, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 = -5*o, -5*z + 4*o - 53 = -58. Let u(a) be the first derivative of a**3\/3 - 2*a**2 + 6*a - 2. Let s be u(5). Solve -2*k - s + z = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 164 and 8.\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (2 + (-3*(sqrt(832) + 1 - sqrt(832)) - sqrt(832))**2 - ((-1 + sqrt(1300))**2 - (sqrt(130)*-1)\/sqrt(10))))*4.\nAnswer: -1836 + 268*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1, 3\/17, 0, 124, 2\/5.\nAnswer: -4, -1, 0, 3\/17, 2\/5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33509 + 33716. Calculate the lowest common multiple of q and 3059.\nAnswer: 27531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 12.2 and -3.674804.\nAnswer: 8.525196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 11*l**3 + 31*l**2 - 148*l - 4. What are the prime factors of d(13)?\nAnswer: 2, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*z - 36. Let g = z + 66. What is the greatest common factor of g and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -810489, -810459, -810407, -810333, -810237, -810119?\n\"Answer: 11*m**2 - 3*m - 810497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 42 and 1163251.\nAnswer: 48856542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide (4 + 2)\/(1 + 290\/(-296))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**2 + 7*d + 23. Suppose -97 = -7*n - 34. Calculate s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -32 + 8. Is 8 a factor of (10\/(-8))\/(3\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 - 53*v + 11949. What is l(86)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffffgfffgggffgfffff. What is prob of picking 1 f and 2 g?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3 minus 52689.13435?\nAnswer: -52692.13435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 9*l - 167 = 7*l, -4*l + 228 = 4*a. Calculate the remainder when 471 is divided by a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - -2. Suppose -18 = -4*c + 3*o, 0*o + t = 3*c + 3*o. Let k = 223 + -214. Calculate the highest common divisor of c and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1867076 from 43264.\nAnswer: -1823812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/8 + 64\/((-6656)\/(-260)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.421 + 0.221. What is the second biggest value in o, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6054 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -141*u**3 - 6*u**2 - 3*u + 14. Let x(c) = 131*c**3 + 7*c**2 + 3*c - 14. Let j(q) = -13*i(q) - 14*x(q). Give j(-20).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -2*k - 14. Suppose -2*s = 2*p - 3*s + 22, 0 = -2*p - 4*s - 32. Let c be x(p). Solve b + c = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 870*d = 4559 - 2200 + 4172 + 8259 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -1146 > -641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -156160 by 78080.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (301\/(-7) + 2*-2)\/(14\/(-14)) and 25.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -34916 divided by 401\nAnswer: -34916\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z. Let j(x) = -149699761*x. Give p(j(f)).\nAnswer: 149699761*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -3*u + b - 6, b = 5*u + 18. Let g = 3 + u. Find the third derivative of 7*s**2 - s**6 + g*s**2 - 5*s**6 - s**2 wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the third derivative of q**5\/30 - q**4\/8 - 7*q**3\/6 - q**2. Let l be h(6). Suppose 4*j + 4*b + 1 = 53, 5*b - l = -4*j. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-4 + (-1*sqrt(432) - sqrt(432) - sqrt(432)))*3 + (sqrt(432) + 4 - sqrt(432)) + -2 + (-6*sqrt(432)*-2)**2.\nAnswer: -108*sqrt(3) + 62202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n**2 + 2*n - 2. Suppose -108 = 3*w - 12*w. Suppose -63*q - w = -69*q. Give j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -98 - -104. Let g = -15 + 26. Let p = g - l. Solve p*a - 3 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -4*y**2. Let z be 20*(3 + (-39)\/15). Let f(v) = -v**2 + 8 - v**2 - z. Calculate p(f(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 147 = -2*l. Let t = l - 72. Let g be (1 + t - 4)\/1. Solve 6*x - 3*x + 6 = g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 529449 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**4\/g)\/g**(-2\/5)*(g*g**(-1\/3)*g)\/g**4)**33 assuming g is positive.\nAnswer: g**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -68 - -70. Suppose -8*j = a*j - 90. Find the common denominator of 65\/33 and 47\/3 - (-3)\/j*-9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (316*j + 2929*j + 69*j)*(-3 - 1 + 3) to y*j + r and give y.\nAnswer: -3314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 36 - 30. What is the second derivative of -5*d - t*d**4 - 12 + 10 + 10*d wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 318021 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: b\"What is the uth term of -2545, -5089, -7633, -10177, -12721, -15265?\n\"Answer: -2544*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 73.5 - 73.5359. What is q rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 - 7*z - 10. Let p be w(-4). Suppose 0*o = -p*o + 56. Calculate the remainder when o 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 22708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {h: 2, z: 1, q: 1, c: 2, s: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2700 and 30?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -64 (base 13) to base 10.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 293, 1352, 4151, 9536, 18353, 31448?\nAnswer: 49667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 112.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 79 + 1. What is the smallest common multiple of 8 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 14\/77 + (-618)\/(-231). Let u = -59\/28 + a. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 2*d = 195. Suppose -38*c = -34*c - 1716. What is the greatest common divisor of d and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*o + 703 - 2018. Suppose n - 2*n = f - 124, 2*f - o = 3*n. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 4, s: 4, b: 3, d: 3}. Give prob of picking 1 g and 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1318696, -1318712, -1318742, -1318792, -1318868, -1318976, -1319122, -1319312?\n\"Answer: -n**3 - n**2 - 6*n - 1318688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 19145722 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 2187090000 to the nearest one million.\nAnswer: 2187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 + -2)\/(-1)*0. Let z be -3 - (1 + 154*1). Let c = z + 3320\/21. Is w greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {e: 1, q: 1, j: 1, a: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = -84 - -94. Let i(z) = 10*z. Let t be i(3). What is the highest common factor of t and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 266197964 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -d38 (base 14) to base 5\nAnswer: -40343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1.9 (b) -5 (c) 15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d**2 - 1709*d - 5133. Let q(t) = -244*t - 734. Let w(o) = 2*l(o) - 15*q(o). Factor w(u).\nAnswer: -2*(u - 124)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1044300424 (base 5) to base 6.\nAnswer: -122034142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -2 + (-1*-2*sqrt(75) - -2*(sqrt(75) + 4*sqrt(75)))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5550\/97 + -16553\/291. Factor 4\/3 + y*w**3 + 2*w**2 + 3*w.\nAnswer: (w + 1)**2*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5289)\/774 - -1*7. Let g = -1.59 + 2.09. Which is the third smallest value? (a) g (b) -2 (c) 2\/13 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 529*o**3 - 2*o + 1. Let q be y(1). Suppose -q = 3*i - 3189. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/16624 and -75\/29092.\nAnswer: 116368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0007521 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k + 9. Let p be c(6). Suppose -83 - 28 = -p*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 4*n - 21 = 0, -5*n + 18 = -2*l - 0*n. Calculate the remainder when 3 + l + -3 + 0 - -28 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -126*j + 427. What is the units digit of k(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -753 + 682 = -71*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2, -8, 3 in descending order.\nAnswer: 5, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 * 12855950.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 273233\/6 + -44898. Let j = 637 - p. Find the common denominator of -113\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 397*y - 395*y - 224 = 3*r, 3*r + 74*y = 80 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2305 + -4019\nAnswer: -6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 20? (a) 0.2 (b) -5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -b - 2*b + 2*b + (4 + 2 - 2)*(2*b - 3*b - b) + 5*b - 2*b + 0*b + (1 - 8 + 1)*(-1 + 2*b + 1) + 0 - 2*b + 0.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 342 by 3136968.\nAnswer: 19\/174276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (36\/(-3 + 7))\/3. Solve -s = -2*t - 1, -s = -5*t + p + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 + 91 = 24*k. Solve -o + 4*h - 7 = 5*h, -k*o - 25 = 3*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -2*v + 17, -2*j + 37 - 27 = 0. Let b(c) = 10*c**3 + 36*c**2 - 16*c. Let n(k) = 2*k**3 + 7*k**2 - 3*k. Calculate v*n(t) - 3*b(t).\nAnswer: 2*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -4*i - 40. Let r(q) = q**3 + 2*q**2 - 2*q - 6. Let t be r(-3). Let u be l(t). Let d be u\/(-14) - (-114)\/42. Sort d, 5, 32 in descending order.\nAnswer: 32, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -0.5, -2\/17, -4, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 5*i + 6. Let s be w(-1). Let m(l) = -1079*l**2 - 91*l + 91. Let h(b) = 24*b**2 + 2*b - 2. Let k(p) = 91*h(p) + 2*m(p). Is k(s) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3426841*r**3 - 1075134.\nAnswer: -10280523*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 574990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ao when two letters picked without replacement from {a: 1, o: 2, k: 2, f: 1, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 69.19714ug in grams?\nAnswer: 0.00006919714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 1 = -0*c + 3*c, 4*m - 11 = -3*c. Solve x + 2*o = -m*o + 24, -2*o = -5*x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -40 + 10*u + 50 - 8*u. Give l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from eueqooceouu.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 4.655066l?\nAnswer: 4655.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put together 907 and 0.0355.\nAnswer: 907.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24.999886 - 25. What is q rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*l**2 - 33*l**2 + 20*l**2 - 29*l**3 - 2*l**3.\nAnswer: -31*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 102 and 0.036.\nAnswer: 3.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (-7884)\/(-1533)*301\/2 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -7*t - 11. Let i(h) = 3*h + 5. Suppose 0 = -12*n - 81 - 27. Give n*i(x) - 4*l(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 15 (b) 0 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 4*h + 4. Let v be t(-4). Let p be (-16)\/(-12) - 8\/v. Let o be (15\/25)\/(p\/20). What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 27*j**2 - 11*j. Let y(z) = -z**2 + 2*z. What is v(a) + 5*y(a)?\nAnswer: 22*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c. Let x = -5 + 7. Let u(q) = q - x*q + 7*q. Give b(u(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 822113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2165092*r**3*w**2 + 13*r**3*w - 11869577*r**3 wrt w?\nAnswer: -4330184*r**3*w + 13*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the third derivative of 0 - 1\/4*a**4 + 0*a**3 + 2\/5*a**5 + 0*a - 12*a**2. Find the second derivative of p(d) wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p. Let x(a) = 2*a - 1. Let o(n) = -4*l(n) + x(n). Let k(d) = -2 + 3*d - 2*d - 2*d. Let h be k(-3). Determine o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-4)*(1 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*k**4 + 4*k**2 - 2*k - 101.\nAnswer: -72*k**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s - 4*s + 0*s)*(-4 - 1 + 4)*(1 - 2 - 2).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 14 - 6 - 7. Let v(p) = -3*p**2 - 6. Suppose -2*h + 2*i = 8, -2*h + 2*i - 14 = 3*i. Let u(x) = h*l(x) - v(x). Let a(b) = 2*b. What is u(a(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 4648 (base 9) to base 4.\nAnswer: 311312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.699756385 from 0.3809.\nAnswer: 1.080656385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -53 + 49. Sort -17, -0.5, w in increasing order.\nAnswer: -17, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 5*p = 3310, 4*z + 2*p = 1465 + 1851. Let v = -494 + z. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -4, 26, 0.05, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.131, -0.2, -7\/5, 3\/7, 5 in descending order.\nAnswer: 5, 3\/7, 0.131, -0.2, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + -1563?\nAnswer: -1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 31*z + 3. Let a be b(5). Suppose -2*m = -3*q + a, q = -0*m + m + 51. Suppose -2*s = 10 - q. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*g = 27*g - 22*g. Let k(r) be the second derivative of 15\/2*r**3 + 0 + 5\/2*r**4 + g*r**2 + 1\/4*r**5 + 8*r. Let k(u) = 0. What is u?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 987 = -3*d - 558, 2*a - d - 1030 = 0. Suppose a = 3*o - 895. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 23*t**2 + 29*t - 11. Let w(d) = -8*d**2 - 10*d + 4. Let h(p) = 17*w(p) + 6*x(p). What are the prime factors of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-5 - -2 - -7) + -5 + 10 - 8) + 33\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -102100111 (base 3) to base 16\nAnswer: -2053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (26 - 14) + -8 - (1 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -536*d*o**2 - 2*d*o + 7*d - 1362974*o**2 with respect to d.\nAnswer: -536*o**2 - 2*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 13*u - 13. Let v be (714\/30)\/7 - u. Which is the closest to -12? (a) v (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 2415*v + 2438*v - 4852*v - v**3. Suppose s + 2 = 4*c - s, 2*s - 13 = -c. Let g(d) = 0 - 3*d**c + 0 + 2*d. Calculate g(y) - 2*i(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 t when four letters picked without replacement from aataaaaaaattaa?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be (10\/(-45))\/((2\/(-8))\/((-18)\/(-48))). Let i = -1.6 - 0.4. Put i, j, -5\/6 in decreasing order.\nAnswer: j, -5\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -425 divided by 5\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -44 + 41. Let q be a\/((-6)\/2300)*40. What is q rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.504612 or 40?\nAnswer: -0.504612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 0 - -55?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 49 = 36. Let j = w + 10. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {u: 1, t: 2, v: 1, g: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (8 - 10) + (-1 - 9). Let b be -4 + -16 + d\/4. Let z = b - -45. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5 - 85\/15)*(-4 - 2). Solve -h + 4*h = 2*r - 17, x*r = -2*h + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3745 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: Solve -56*g = -22942 + 21990 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/7 + 10*t\/7 - 72\/7.\nAnswer: 2*(t - 4)*(t + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 442 and 3796?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 715189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 105*f**3 + 4*f - 4*f - 3831*f**3.\nAnswer: -3726*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 0*f**2 + 20030*f**3 + 0*f**2 - 1165 - 16242*f**3 wrt f.\nAnswer: 11364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 843 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 23153.9202 nanoseconds to days.\nAnswer: 0.0000000002679851875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = -4*o + 2*p, 79*p - 75*p + 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*z - 4 + 142*z + 2 - 1.\nAnswer: 108*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 7 + 3*q - 1)*(1 + 0 + 1)*(2 + 5 - 5).\nAnswer: 12*q - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + -27 + 23 + -22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 19.77 - 16.6. Let c = -54.67 + f. What is c rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 36949232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -365, -5, -3, -72 in increasing order.\nAnswer: -365, -72, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are 0.2 and -0.015918 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ryyyeryreerrer. What is prob of picking 3 r?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 1. Let z(k) = -3*k + 3. Let m(n) = 6*i(n) - 2*z(n). Let w(y) = -y - 11*y + 6*y. Calculate m(w(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 796*p = 7*g + 791*p - 30, 4*p + 12 = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 2*b - 5*b + 35, 0 = 3*o - 5*b - 100. Suppose -2*y + 28 = 2*u, -4*y + 6*y = -u + o. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of w**9\/7560 + w**8\/3360 - w**4\/6 + 3*w. Let s(k) be the third derivative of z(k). Factor s(a).\nAnswer: 2*a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 5*t + 5, -28 = 4*w + 2*t. Let y be (-4)\/(-2) - w*8\/(-20). Let v be 3888 - (10\/(-5) + y). Round v to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11.9259 + -8.88. Round r to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2080 * -2.806.\nAnswer: 5836.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -36 - -24. What is the tens digit of (-603)\/d - (-5)\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 452 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3, -1, -43 in decreasing order.\nAnswer: 3, -1, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 244432000 to the nearest 1000000.\nAnswer: 244000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4*a + 0 - 12 = 0, -2*y + 3*a - 10 = 0. Is (0 - (-1)\/y)\/(2\/(-32)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/12108 or -496?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/(36\/(-296)) - 3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sgsessetssgsskss. Give prob of sequence tess.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 3823, 7238, 10651, 14062, 17471, 20878?\n\"Answer: -z**2 + 3418*z + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -4*u - 2*v, -8 = -37*u - 30*u + 108*u - 35*u - 4*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31, -129, -295, -529, -831?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-5 + sqrt(2448))**2.\nAnswer: -120*sqrt(17) + 2477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -4\/5 (c) 22.76 (d) -0.5 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 76 or -1794?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-1*(-3)\/(-36)). Let u = v - -15. Find the second derivative of -4*x**4 - 2*x - x**4 + u*x + 3*x**4 wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.08000055 - 0.08. Round g to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-12)*6 - (0 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -17 + 14. Let i = 25 - 35. Let v = 11 + i. Which is the closest to 0.1? (a) v (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(3\/19)*y*y)**(10\/7)\/(y**(1\/12)\/((y**(-33)\/y*y*y)\/y)) assuming y is positive.\nAnswer: y**(-47881\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-4)*(2 + 0). Suppose -3 = 4*r + 5. Let z(m) = -2*m**3 - m**2 + 3*m + 2. Let y be z(r). Solve y = p + t*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.3813 less than 473?\nAnswer: 469.6187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1441, -5, 51, -11 in decreasing order.\nAnswer: 1441, 51, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (13 - -73) + -96 + 0 + -36\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 91554290.\nAnswer: 2, 5, 61, 150089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 133 or -1\/2?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3 + 466641*a**2 + 1399886*a - 13065864.\nAnswer: (a - 4)*(a + 7)*(a + 466638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 21 - 54 - 2*h + 74 in the form p + o*h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ih when two letters picked without replacement from {i: 10, h: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m - 381*m**2 + m + 378*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2764533 is divided by 5286?\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*b - 83 + 83 = 0. Let i(q) be the first derivative of 0*q**2 + 25\/4*q**4 + b*q**3 + q - 5. What is the derivative of i(v) wrt v?\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111718621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2765 and 8295?\nAnswer: 8295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**2\/11 + 142518196*d\/11 - 2538929523886802\/11.\nAnswer: -2*(d - 35629549)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -32*i**3 + 4*i**2 - 2*i + 9. Determine w(2).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the second derivative of 0*j**2 - 10\/3*j**3 + 1\/3*j**4 - 5*j - 5. Find r such that l(r) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + 6*n. Let r be p(6). Suppose j = y + 22, r = -y + 2*j - 7 - 19. Let u = 36 + y. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.0547 + 0.0547. What is the third smallest value in h, -5, -4, 2.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 3 = -3*t, -50 = -v + 4*t - 54 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 167080449, 167080446, 167080443?\n\"Answer: -3*p + 167080452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 3*b + 30, -4*x = 5*b - 20 + 62. Let v = 11 + x. Let z(f) = 4*f + 4. Let l(p) = 5*p + 6. Let d(a) = 3*l(a) - 4*z(a). Determine d(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*f**5*p + 71*f**3 - 228*f**2*p - 3*f**2 - 84415*f*p + 8*p wrt f?\nAnswer: -60*f**3*p + 426*f - 456*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -262 - -513. List the prime factors of f.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 1 + sqrt(11)*-2)**2 - sqrt(88)\/(-1*sqrt(32)\/sqrt(4)).\nAnswer: -19*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 793551 - -2531890. Let h = w - 3325425.00013. Let b = 16 - h. Round b to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 28.7 and 925.\nAnswer: 26547.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1, 5\/2, -0.32, 3 in increasing order.\nAnswer: -0.32, 1, 2, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 132951312 divided by 711\nAnswer: 186992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 + 2*g + 4. Let s(j) = 6*j**3 + 65*j + 15. Give 4*o(z) - s(z).\nAnswer: -2*z**3 - 57*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-33)\/3*-1*(6 + (-13 - -6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 150409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -217 + 214. Let w be (32\/v)\/8*3. Which is the smallest value? (a) w (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*m - 1462 - 3485 - 10253 = 0. What is the remainder when 1604 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.202 + -0.13. Let k = g + -0.06. Let u = 0.1 - k. What is u rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x + 20. Let l(y) = -11 + 3*y + 3 - 3. Let c be l(x). Calculate the highest common factor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = 0, 62417 = t - 4*w + 2*w - w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -20201000220 (base 3) to base 13\nAnswer: -480ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 9438, 9434, 9430, 9426?\n\"Answer: -4*z + 9442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -30 + 157. Suppose -2*z + 4*z = -l + 69, -l = -4*z + 123. Calculate the remainder when v is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3*d**2 + 442. Let u(r) = -3*r**2 + 1651. Calculate w(u(a)).\nAnswer: 27*a**4 - 29718*a**2 + 8177845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = 12*g - 1784. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -7*j + 30. Let i = -3 + -1. Let n = i + j. Calculate the least common multiple of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3591 and 54663.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -641.3 + 641. Which is the smallest value? (a) 3 (b) i (c) 7 (d) 0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -91*x - 94*x + 31 + 354*x - 94*x - 86*x. Let s(z) = -z**3 + 6*z**2 - 3*z - 4. Let j be s(5). Calculate the common denominator of -26\/11 and t(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*x**3 - 6956*x**2 + 419740*x - 6446388.\nAnswer: 4*(x - 1677)*(x - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 - -0.3. Let x = 2.7 - -0.3. Which is the biggest value? (a) x (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 175*d + 1595. Give y(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -26494 - -20635. Which is greater: b or -5858?\nAnswer: -5858","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -258 divided by 1256\nAnswer: -129\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 399 = -18. Suppose -9*p + d = -8*p. List the prime factors of p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 115 = 3*j, -5*j - 3*a - 42 = -239. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21919838767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1230 = 2*k - 4*k + 2*q, -3096 = -5*k - 2*q. Let p be 12\/(-2) + 105 + -95. Suppose -2*b + 2*o + k = 0, -o + 620 = 2*b - p*o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q**(-25\/2)\/q*q))**(-5) assuming q is positive.\nAnswer: q**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -50\/33 - -151\/165. Let p be 6 + -2 + -1 + 1. Which is the nearest to 0? (a) p (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/5 and -58\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, a: 2, s: 5}. Give prob of sequence us.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -z + 2, -f + 7 = -2*z. What is the remainder when -12 + 5*432\/12 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -109 + 142. Let l(h) = 3*h**3 - 11*h**3 + 3*h**3 + 4*h**3 - 2*h**2 - 2*h. Let c(n) = -15*n**3 - 33*n**2 - 33*n. What is g*l(d) - 2*c(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-50)\/(-18) - 1 - 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -727375 (base 9) in base 15?\nAnswer: -87e6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 14*j - 92. What is n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -17.71 or 8\/97?\nAnswer: -17.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 177\/25 - (2604\/13175 + (-2)\/17).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4204003124 (base 5) to base 15.\nAnswer: b5ee0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.178 - 139353.4?\nAnswer: -139353.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 2170 - 655 = 0. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((2\/(-13))\/(-1))\/((-9)\/(21762\/(-93))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 2:28 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - (-6 + 18)) + -13 + 0 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -38314.078 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -470 + 470.08. Let a = -0.25 + 0.276. Let v = z - a. Round v to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the second derivative of 224*q**5\/5 + 319*q**4\/6 - q**2\/2 - 4*q - 18. Find the third derivative of i(a) wrt a.\nAnswer: 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -20.1 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4395565.\nAnswer: 5, 879113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 23 + -36 + -2 + 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3776103*h**5 + 2047*h**2 + 107?\nAnswer: 226566180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t + 0*t - t)*(3*t + 0*t - t)*(247 - 468 - 234 + 2*t**2).\nAnswer: -8*t**4 + 1820*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 4*a = 10, -4*b + 4*a + a + 17 = 0. Suppose -3*t - 96 = b. Let r = t - -35. Which is bigger: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -133 = 10*s + 17. Let v(n) = -n**3 - 15*n**2 + n + 15. Let r be v(s). Suppose r = 2*j - 5*m - 1, -14 = -0*j - j - 2*m. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 3*d - 12. Let p be c(8). Differentiate 16 + 4*w**4 + w**4 - p with respect to w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4912.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t + 1. Let m be i(-11). Suppose -5*c = -5, l - 2*l + 2*c = 0. Solve -7*d - p = -l*d + m, 4*d - 2*p = -18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 942 = -108*f - 49*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**5 + 164*x**4 - 1512*x**3 + 5292*x**2 - 7830*x + 3888.\nAnswer: -2*(x - 72)*(x - 3)**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5 - 1. Suppose 0 = u*s - 5*s, s + 60 = 2*t. Suppose -8 = -4*h + 4*p, 5*h = -p + 2*p + t. What is the greatest common factor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 4 = -4, 0 = 3*m + 5*g - 800. Let p = -28 + 58. Calculate the greatest common divisor of p and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1 + -1 + 47\/1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*k**2\/9 - 5168*k\/9 - 208658\/9.\nAnswer: -2*(4*k + 323)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 33977536 to the nearest integer?\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence til when three letters picked without replacement from tataittaaktaltttt?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oododedodod. What is prob of sequence ooo?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -131833 - -17138157\/130. What is the common denominator of q and 83\/16?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*k**4\/11 + 190832*k**3\/11 - 8803746*k**2\/11 - 4437656*k\/11 - 556198\/11 = 0.\nAnswer: -1\/4, 47, 5917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 5*u = 29 - 12, -u + 11 = -4*y. Let p(a) = -2*a**2 - 16*a - 5. Let b be p(-7). Let t be (-8)\/b*(-3)\/12. Sort 4, t, y in increasing order.\nAnswer: y, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12*((-19)\/(-114))\/((-10)\/105).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 - 6*q**2 - 6. Determine i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 - 6*h**2 + 4*h + 28. Let u be i(-6). Suppose 145 = -u*p + 525. What is the highest common factor of 76 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -93554 and -93504 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r - 11*r - 40 = 0. Suppose -6*l - 60 = -r*l. Solve 4*i - l = -6*w + w, 0 = -2*i + 2*w + 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 37674 and 18018?\nAnswer: 414414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*s - 15 = 5*f, -f = -s - 20 + 8 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 14 + -13. What is the tens digit of 24 + (5 - (b + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dua when three letters picked without replacement from zdazdju?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27948 or 27946?\nAnswer: 27946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 - 14 + 2*z)*(z - z**3 - z**3 + 4*z**3 + (-13*z**2 - 4*z**3 + 13*z**2)*(2 - 6 + 1)).\nAnswer: 28*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4088 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: Calculate 30.01436057038 + 0.5.\nAnswer: 30.51436057038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3262 - -1712. What is t rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 119016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 121951 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 55\/10*(1056\/(-112))\/((-45)\/105)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 200 - 14132*q - 647 + 447 to the form n*q + i and give n.\nAnswer: -14132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/41 + 88\/123. Let q = -1\/5 + 19\/20. Which is the closest to 1? (a) -2\/11 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from xiti.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-2\/7))**(-18) assuming b is positive.\nAnswer: b**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2637156119?\nAnswer: 13, 1307, 155209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -1*sqrt(80))**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -117 + 120. Let f be 3*(-116)\/108 + x. Sort f, -3, 2\/7 in decreasing order.\nAnswer: 2\/7, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -8*k - 8. Let l(m) = 8*m + 9. Let f = 17 + -15. Let v(a) = f*b(a) + 3*l(a). What are the prime factors of v(6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 + (-21)\/(-9))*(-6 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2*u - 5. Let l = 10 + -17. Let o be c(l). Differentiate o*x**2 - 4 - 2 - 15*x**2 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 12*n**3 + 2*n - 1. Let k be m(1). Suppose -4*a - 14 = -5*a. Let x be (-91)\/a*11*-2. Calculate the greatest common divisor of k and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the first derivative of 7 + 9\/20*a**4 + 3\/5*a + 7\/5*a**3 + 3\/2*a**2. What is p in j(p) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rofoorffrfrf. Give prob of picking 3 o.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35189647?\nAnswer: 35189647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + l = 156. Sort l, 5, -1 in decreasing order.\nAnswer: 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1390 + 22161\/16. Calculate the common denominator of z and -127\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + -50188a?\nAnswer: -501888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = o + 2*o. Let u = 42 + -32. Let z = o - u. Solve 4*c + 1 = -z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1374 is divided by 1120.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 1)*(398*j - 1027*j + 520*j)*(-1 - 2 + 4) - 4*j + 0*j + 3*j + (-1 - 1 + 3)*(-2*j + 3*j - 3*j).\nAnswer: 215*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20 and 4456165.\nAnswer: 17824660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l + 170 = -127. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.875 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 4*f**2 - 19*f - 2*f + 14*f**2 - 22 - f**3. Let y be i(16). What is the highest common factor of 66 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -c + 2*c. Suppose 0 = 2*x - 11 - c. Let z = 2 + x. Calculate the remainder when 18 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 14 + -7 + -5 + 5 + 1 + 7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 21071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 108, 130, 172, 240, 340?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22392738, 22392740, 22392732, 22392708, 22392662, 22392588, 22392480?\nAnswer: 22392332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 283387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 4706*x**2 - 3*x. Is d(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u - 2*u - u)*((1 + 5 - 4)*(0*u - 2*u**2 + 0*u) - 3 + 3 - 2*u**2 - 8*u**2 - u + u).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**2 + 16*x + 17. Let f be d(-15). Let y be f\/(-8)*14 - -3. Let t = -79 - -551\/7. Which is the second smallest value? (a) 2\/17 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 17*y**2 - 2*y - 14. Let g be f(17). Let v = 64 + g. Suppose -w - c + 19 + v = 0, -5 = c. Does 40 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s + s + 15*s)*(-3*s + 10 + 10*s - 4*s).\nAnswer: 39*s**2 + 130*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 5*z + 10. Let b(q) = -2*q - 3. Let d(t) = 7*b(t) + 2*x(t). Let v be d(1). Let n = v + 13. What is the lowest common multiple of n and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-69)\/414 - (-459043)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(26)\/sqrt(2))**2 + 1 + sqrt(117)\/(sqrt(81) + (-2*sqrt(81) - sqrt(81)) - sqrt(9)).\nAnswer: -sqrt(13)\/7 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -2 - -17745278755955\nAnswer: 17745278755953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 4*a**3 + 16*a**2 + 8*a + 1. Let z(g) = -g**3 - 5*g**2 - 3*g. Let y(w) = 2*s(w) + 7*z(w). Determine y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fffffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-17424)\/(-2420))\/((-30)\/(-25))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) - -6*(sqrt(84)*-1 + sqrt(84)))\/sqrt(12) + sqrt(42)\/(sqrt(30)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the first derivative of 394*w**2 + 1979*w + 965. What is the derivative of k(m) wrt m?\nAnswer: 788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 11*c + 90. What is the hundreds digit of g(48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-336*d**2 + 336*d**2 - 105*d**4)*(-53 - 4 - 65) in the form v*d**3 + b*d**2 + p + g*d + m*d**4 and give m.\nAnswer: 12810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1495.70309 - -1013.\nAnswer: -482.70309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -i + 5, -5*l = -4*i - 0*l + 2. Let r be i\/(15\/55500001) + (-3)\/15. What is r rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 62092456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 0*o**2 + 4 + 0 + 14*o**3 + 5*o**2 + 1. Let a(h) be the second derivative of h**5\/4 + h**4\/6 + h**2 + 5*h - 5. Determine 11*a(w) - 4*g(w).\nAnswer: -w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (r - 1 + 1)*(2*r**3 + 2*r**3 - 6*r**3) + 310*r**4 - 1069*r**4 + 448*r**4 as k*r**4 + u + f*r**2 + l*r**3 + g*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(432) - (2*sqrt(432) + -1 - sqrt(432))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6\/14 + 594\/(-1932). Let g = z - -1\/46. Is g less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18984 and 6279.\nAnswer: 5676216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 371823.\nAnswer: 3, 123941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 + 5*m + 1. Let a be t(-4). Let q = 1.4 - 0.4. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97407 - 24510 = -3*y - 2*z, 162542 = 4*y - 2*z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the second derivative of 3\/2*z**2 + 3\/2*z**3 + 3*z - 1\/12*z**4 + 0. What are the prime factors of p(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20617559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/(-639*(-198)\/(-324)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 486*l**2 + 135*l**2 + 9*l**2.\nAnswer: 630*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/36 and -133\/492?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.8 - -3.8. Let i = -118 - -1300\/11. What is the smallest value in o, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6331.659 and 4?\nAnswer: 25326.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 - w**2 + 14. Suppose -4*f + 2*v + 20 = -v, -v + 6 = 5*f. Suppose -f*k = -3*k. What is the smallest common multiple of d(k) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8768.2317 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 2*w**2 + w + 4. Let l be n(-2). Let a(p) = -p**2 + 11*p + 3. What is the tens digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 2 = -0*o. Let k be (16\/64)\/((-18)\/12). What is the nearest to -1 in k, o, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -8c92 (base 16) to base 8\nAnswer: -106222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 76 = 6*p - 4*x, 2*p = -3*x + 48. Sort p, 3, -5 in increasing order.\nAnswer: -5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -352.3 times -2009\nAnswer: 707770.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - t = 5*j - 3, -12 = t - 2*j. Let g be -3*(-1)\/6*4. Let y be -6 - (g - (-6)\/(-2)). Is t smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -10*w**3 - 32*w**2 + 178*w - 370. Let q(x) = x**3 + 2*x**2 - 2*x + 2. Let s(g) = 18*q(g) + 2*t(g). Solve s(d) = 0 for d.\nAnswer: -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 807427542 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 4:36 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.0725m to micrometers.\nAnswer: 91072500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60279.\nAnswer: 3, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 + -18)\/(2 - 4). Suppose -3*z = -27*z - p*z. Which is the second smallest value? (a) z (b) 4\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c**2 + 39*c - c**3 - 39*c)*(-6 + 4 + 3)*(-1 + 1 + 1).\nAnswer: -c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 4*f**3 - 2*f**2 + 4*f. Let c(a) = -2*a - 108429*a**3 - a + a**2 + 108425*a**3. Determine -3*b(o) - 4*c(o).\nAnswer: 4*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*s - 48*s + 708903 = 0. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 391, 363, 319, 253, 159, 31, -137, -351?\n\"Answer: -o**3 - 2*o**2 - 15*o + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -a**2 - 6*a**4 + 3*a**4 - 2*a**4 + (0*a**2 + a**2 + 0*a**2)*(4*a**2 - a + a) as x*a + p*a**3 + q + m*a**2 + i*a**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = 69047 + 262080. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13 + -10. Suppose -3 = -3*z, 3*z + 1 = 4*f - 12. Calculate the remainder when f is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*v + 0 - 7\/3*v**3 + 2\/3*v**2 + 5\/3*v**4.\nAnswer: v**2*(v - 1)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/21 and -5\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -24 (base 10) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 3\/28 and (25\/120)\/((-3)\/135).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + x)*(2 - 5 + 2) + (-6 + 0 - 1)*(-4 + 4 + 2*x).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 + -6. Let o be (x\/20)\/(0 - -3). Let j(q) = -q**2 - 3*q + 13. Let w be j(-5). Sort 8, w, o in ascending order.\nAnswer: o, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2024883695 to the nearest integer?\nAnswer: 44999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c**5 - 115*c**4 + 365*c**3 + 355*c**2 - 1370*c + 760 = 0. Calculate c.\nAnswer: -2, 1, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/((-2)\/(-64)*3). Let q = s + -74. Does 2 divide (-1)\/(-2) - q\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14, 10, -6, -40, -98, -186, -310, -476?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*p = -41*p + 58 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k - 3*k + 4*k - 3. Let m = -1465 - -1470. Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m + 4*i = -120, -4*m - 2493 + 2468 = i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 2*j = 10, 3*g - 6*j + j = 25. Let v = g - 1. Which is bigger: 9 or v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -20574, -18684, -16794, -14904, -13014?\nAnswer: -11124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.66 + -4.66. What is the second biggest value in 0.02, 0, c, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -5*w - 75. What are the prime factors of (-9)\/(0 - (-2)\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.08893 litres?\nAnswer: 88.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11b + 79?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-78)\/(-9) - (927\/(-54) - -12).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3889 = -6*f - 3955. Sort 0, 18, f.\nAnswer: f, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 194.671814 - -0.76?\nAnswer: 195.431814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*a + a + 4*u + 29, 27 = 5*a - 2*u. What is the closest to -40 in 1\/5, a, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 799 = -281. Round g to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -4*m**4\/5 + 40220*m**3 + 402244*m**2\/5 - 1407772*m\/5 + 804432\/5 = 0.\nAnswer: -4, 1, 50277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-60))\/((-6)\/(-5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*a - 12 = -52. Suppose -4*f + 5 = -a*q + 13, -5*f = 5*q - 40. Solve 4 + 16 = -q*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 - g**2 - g - 1. Let j(k) = 6*k**3 - 89*k**2 + 5*k + 8. Determine j(m) + 5*y(m).\nAnswer: m**3 - 94*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 222*q + 801. Calculate p(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -3 - 0 - (1335 + -1332)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2387, 0.1, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 9:17 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4595499 + 4595499.07019691. Let j = 0.0702 - i. What is j rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 7:17 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (3 + (-268)\/80)*(-1914)\/261 and -64\/189.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9074, -72522, -244746, -580136, -1133082, -1957974, -3109202?\nAnswer: -4641156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 16a1c (base 14) to base 8.\nAnswer: 157042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kq when two letters picked without replacement from {q: 2, k: 1, a: 4, p: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -31 = -927*q - 958 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s - 5. Let n be t(-4). Suppose 4*p - 5*y - 311975 = 0, 3*y = -p + 2*p - 77992. Let a be p\/15 + n\/(-3). What is a rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 376*w + 7*w**2 - 3 + 2.\nAnswer: 7*w**2 + 376*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 106.1591 years to centuries.\nAnswer: 1.061591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:04 AM and 10:06 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5380700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -124 + 61. Calculate the remainder when (-2597)\/n - 2\/9 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 70059, 140131, 210203, 280275, 350347?\n\"Answer: 70072*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -121020 (base 3) to base 5.\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*y + 81 = -17*y. List the prime factors of 2\/9 - (-5 + 8418\/y).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10688 - 10689. Sort a, 1, 1\/4, -0.5, -2 in decreasing order.\nAnswer: 1, 1\/4, -0.5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**3 + 10*s**2 - 25*s - 8. Let r be d(-12). Let z(a) be the second derivative of 0 - 4*a + 1\/6*a**r + 1\/3*a**3 + 0*a**2. Factor z(g).\nAnswer: 2*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 470007493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -5*x**3 + 213*x**2 - 6*x. Let p(y) = 2*y**3 - 106*y**2 + 3*y. Calculate -3*m(n) - 7*p(n).\nAnswer: n**3 + 103*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n**(-8)*(n\/((n*n**1*n)\/n*n)*n)\/n*((n**(-1\/3)\/n)\/n*n*n)**(9\/2) assuming n is positive.\nAnswer: n**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 - 53?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-19)\/((-5016)\/(-165))*5\/(50\/(-12))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {n: 1, x: 1, s: 1, z: 1, q: 1, d: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -145535.5 rounded to the nearest one hundred?\nAnswer: -145500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 27 - 24. Suppose -z*y = -256 + 22. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(60)\/(sqrt(1728)*-2 - sqrt(1728)).\nAnswer: -sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**2 - 14*t + 7. Let p be l(-15). Let r be (-16)\/6 - (p - -5). Is r greater than -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in twenty-five halves of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -69\/29824 and -91\/59392.\nAnswer: 13838336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, -316, -3\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/((((d*d**(-1))\/d)\/d)\/d))\/d**(-1\/15)*d**1\/(d*d**(-3)\/d) assuming d is positive.\nAnswer: d**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) 4 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 2*h - 4 = -0*d, -2*d = 5*h - 18. Suppose 5*l - 2*l = 2*c + 12, d*c + 4 = l. Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -534, -1059, -1576, -2085?\n\"Answer: 4*l**2 - 537*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 404328 less than or equal to 404328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25, 50, 77, 106, 137, 170?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 56, 194, 0.1, 5, -303, -2 in increasing order.\nAnswer: -303, -2, 0.1, 5, 56, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -84*w**2 - 3*w. Let u(j) = -56*j**2 - 2*j. Give 8*u(f) - 5*y(f).\nAnswer: -28*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqhqqqphqqhhq. What is prob of picking 1 p and 2 h?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 53 - 53. Let x(n) be the second derivative of 13\/20*n**5 + c*n**4 + 0 - 1\/2*n**2 - 5*n - 1\/3*n**3. Determine x(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6 + 1 - 1 + (0 + 4 - 1)*(-5 + 2 + 1) + 1 - 1 + 1)*(-15*t - 7*t + 8*t) in the form b + r*t and give r.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 23369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -25, 28, 115, 242?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3442.281 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8331 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-100)\/15)\/4*(-89)\/(22695\/(-34))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5418)\/(-58695))\/((2*-1)\/10)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 8 + 8 + 3*m**2 + m - 2*m**2. What is the least common multiple of (-14)\/((-1)\/(1 + 0)) and g(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-27)\/(-4)*24\/9. Let i = -14 + l. What are the prime factors of (2 - i\/4)\/(1\/37)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 6*q - 24. Let a be b(5). Let j be ((-24)\/a - -1)\/((-3)\/2). Solve -2 = j*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 69 and 62537?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the third derivative of -h**9\/56 + 19*h**6\/12 + h**5\/2 - 5*h**4\/24 + 7533*h**2. What is the third derivative of j(q) wrt q?\nAnswer: -1080*q**3 + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 2833.7, -0.2 in increasing order.\nAnswer: -0.2, -0.1, 2833.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1294, 2589, 3884, 5179, 6474?\n\"Answer: 1295*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -8910 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -4*a + 9. Let t be i(-3). Let o = t - 13. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.5 + 1.38. Let g = 0.12 + p. Which is smaller: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62*w**3 - 98*w**3 - 19*w**3 + 21*w**3.\nAnswer: -158*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 16*u**3 + 18696*u**2 + 16*u - 616784008 wrt u.\nAnswer: 48*u**2 + 37392*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ho when two letters picked without replacement from {t: 1, o: 1, s: 1, z: 1, d: 2, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g = 9*h - 3, 4*h + 5*g + 2 + 40 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*p + 5*w - 16 = 33*p, -5*p = 5*w - 40 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 180775278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2 less than or equal to 1575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) -5 (b) -1\/5 (c) -5468.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -181*s + 848928 = 41*s. What is the highest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from kcmkmmkck.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 7*c**3 + 2*c. Let s be w(-2). Let u be s\/(-33) + 4\/22. Let v be (u + -5)\/(-3) + 4. Solve -v = 2*x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 minus -146?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -326*r - 2232 = -327*r. What are the prime factors of r?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in twenty-seven halves of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 21322115 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(49)\/(sqrt(56)\/sqrt(8)) - ((sqrt(7) - (sqrt(7) + 0))*-4 + 0).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*z - 0*z - 4, -5*z = 4*q - 117. Suppose 5*r = 3*r + q. Is r\/(-3 - 140\/(-44)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2931\/11 - -267. Which is the smallest value? (a) 2\/13 (b) 3\/4 (c) s (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/42 and 61\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/115? (a) 3\/2 (b) -147 (c) 9\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 - 11*b**2 + 16*b + 6. Let l be i(-12). Let z(n) = 10*n**2 - 14*n - 14. Let h(v) = -v**2 + v + 1. Calculate l*h(k) - 3*z(k).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -352*p = 259*p + 9*p - 5580 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3740 divided by 1870.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.7 - -0.3. Let a be ((-2)\/(-8) - 1)\/(-3). Let x be 28 - 29 - 18\/(-8). Sort x, a, m in increasing order.\nAnswer: a, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20349\/(-306) + 190*(-21)\/(-420).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 170615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 32 - 21 + 2*m**2 - 12 - 2*m + m**3 to q*m + k*m**3 + s*m**2 + d and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -136 (base 14) to base 10\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bgonjjj. What is prob of sequence bj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**2 - 52*w - 142. Let u be s(-23). Calculate the greatest common divisor of u and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in 1\/2, 0.6, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 PM and 11:02 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3020 - 4613. Let s = g + 2446. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 - -6. Let c be ((-24)\/18)\/(16\/12). Put -2, z, c, 6 in decreasing order.\nAnswer: 6, c, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of 2*i + 0*i**2 + 5\/6*i**3 + 3. Let u(l) be the first derivative of j(l). Determine u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21.23145m in micrometers?\nAnswer: 21231450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 741510.2 milligrams in grams?\nAnswer: 741.5102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 86 and 18.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 545\/(-3)*313524\/(-180) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10.9989 - 11. Round w to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - o + 11 = v, 3*v - 5*o = -1. Let m(k) = 4 - 4 + v*k**3. Calculate the lowest common multiple of 3 and m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-3\/14)*a\/((a**14\/a*a)\/a) assuming a is positive.\nAnswer: a**(-171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 901 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 269*c**2 + 3125*c + 499. Determine d(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 192659 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {r: 2, o: 1, t: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 + 4*w - 8. Determine d(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/(h*h**(12\/7)))*h)\/h*h**(8\/11)*(h\/((h*h\/h**(9\/4)*h)\/h)*h)\/(h**(3\/4)*h) assuming h is positive.\nAnswer: h**(607\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 188*t - 24. Let a(y) = 302*y - 36. Let w(r) = -5*a(r) + 8*m(r). Let q(i) be the first derivative of i**2 + 4*i - 1. Calculate 8*q(s) + 3*w(s).\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * 0.0216.\nAnswer: 0.00432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -233, 10, -32, -4, -3 in ascending order.\nAnswer: -233, -32, -4, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 419*6947.\nAnswer: 2910793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47 is divided by (-230)\/(-8) - 17\/(-68)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - (3 + -5 - (1 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-16)\/v**(-12) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q**3 - 43581*q**2 + 87171*q - 43587 = 0. Calculate q.\nAnswer: -14529, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7\/4? (a) 6 (b) 8 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1886572.\nAnswer: 2, 109, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -324709 or -0.04?\nAnswer: -324709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x + 2. Suppose 3*s = s - 4. Calculate r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -173701089 + 244301089. Round l to the nearest 1000000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -9*u**2 - 8795. Let s(h) = 10*h. What is o(s(l))?\nAnswer: -900*l**2 - 8795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -411 + 411 - 8*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 66 divide 5838279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = 2*w + 5*u, -2*u + 3*u = -w + 33. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 2*n - p = -236, 3*n - 226 = p. Suppose 69*k - 20*k - 2744 = 0. Let h = n - k. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 17183837 divided by -2\nAnswer: -17183837\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of -x**3\/3 - 7*x**2 - 19*x - 5. Let n = -86 + 73. Let t be v(n). Which is greater: t or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-93 + 93 + 7*u)*(1182 - 1182 - 46*u) to the form g + q*u + v*u**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -113480 or 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -6052 (base 7) to base 2.\nAnswer: -100000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 3*w = 6. Let g(t) = 13*t + 4. What is the remainder when g(0) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 188*x**2 + 191*x**2 - 315*x**2. Let r(q) = -2*q. Give l(r(v)).\nAnswer: 256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -7*b. Let a(m) = -m**3 - 5*m**2 + 7. Let l be a(-6). Suppose -k + l = 47. Let u(g) = 3*g. Let v(i) = k*j(i) - 10*u(i). Give v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-5)\/(-10)*(-48)\/2. Let h be (-12)\/(-9)*m\/8. Let j be ((-3)\/2)\/(h\/4). Solve -j*z - 5*x = -0 - 10, 0 = 2*z + 5*x - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -30*y**4 + 578*y**3 - 122*y**2 - 578*y + 152 = 0.\nAnswer: -1, 4\/15, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3942*t + 30 = 3*j + 3940*t, -j - 2*t = -2 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w - 3. Let l be c(-3). Suppose l = q - 2*q - 5*f + 6, 0 = 2*f + 4. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 538881 != 538888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -10*i**2 + 213*i + 125. Let n(p) = p**2 + p - 1. Let m(y) = j(y) + 11*n(y). Differentiate m(s) with respect to s.\nAnswer: 2*s + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/5, 2223410, 0.3 in descending order.\nAnswer: 2223410, 0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 250 = 2*i, 5*t + 112 = 6*t - 3*i - 127 + 289 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2595122689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11348159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**3 + 22*b**2 - 4*b - 12. Let a(c) = -c. Let m(z) = -a(z) + d(z). What are the prime factors of m(-22)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -73 + 80. Let v be 2\/2*(p + -12). Suppose 3*d + 4*w = 5, -6*d = -5*d - w + 10. Is d < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2.763 times 95.7\nAnswer: -264.4191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -5473aa?\nAnswer: 5473a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t = -0*p + p - 3, -3*p - 15 = 3*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9503880 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2614815.\nAnswer: 3, 5, 7, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -17, 4, -3 in descending order.\nAnswer: 4, 2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - 23*f**2 - 417*f + 112. Determine r(35).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/11? (a) -4 (b) -93 (c) 36 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 2 - 2)*(-232*b - 2098 + 2098).\nAnswer: 464*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 771 + -402. Let b = l + 35. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 71 + -66. Suppose -3*a = 5*i - 194, 0 = -5*a + u*i + 203 + 147. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 3*c**2\/8 - 172791*c\/8 = 0.\nAnswer: 0, 57597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1243\/33*6*(1005\/30)\/(-67).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hvii when four letters picked without replacement from {h: 7, i: 5, b: 3, v: 4}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 + 2*x + (-3 - 2*x + 3)*(0 - 3 + 1) - 2*x - 2*x + 2*x + 4*x + 13*x - 5*x - x - 7*x - 5*x in the form u*x + a and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of h**3\/6 + 7*h**2\/2 + 5*h. Let i(f) = -1. Let t(c) = -4*c**2 + 75*c + 16. Let s be t(19). Determine s*g(y) - 21*i(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h**2*h)\/h)\/h)\/h)**21\/(h**(-1)*h**(1\/9)*h) assuming h is positive.\nAnswer: h**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-558)\/(-31))\/(2\/10*15\/(-2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 2, -2, 73689, 1 in descending order.\nAnswer: 73689, 2, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g = -4*k - 65, 5*k + 64 = -1173*g + 1170*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -309, -1080, -2367, -4200, -6609, -9624?\nAnswer: -13275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-4 + ((sqrt(1088) - (sqrt(1088) + -1 + sqrt(1088)))*4 + 4 - (-2 + sqrt(1088) + 1 + sqrt(1088))*-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the third derivative of w**6\/24 - w**5\/4 + 5*w**4\/12 - 14*w**2. Determine r, given that u(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2098 less than -4?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 1 + 4)*(-3 + 3 - y)*(0*y - 6*y + 2*y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 5*o = 6*o. Solve -2*i = -2*l - 14, o = 3*i - 9*l + 4*l - 29 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(3) + -1*sqrt(192) + (-4*1*sqrt(3))**2 + sqrt(12)\/((sqrt(144) - (sqrt(144) + 1*sqrt(144))) + sqrt(144) + sqrt(144) + sqrt(144)).\nAnswer: -83*sqrt(3)\/12 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 188*i + 45 = 180*i - 5*z, 0 = -3*i - z - 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 3*m**3 - 38*m**2 + 41*m - 23. Let j(b) = -b**2 - 3*b + 21. Let v be j(-3). Is w(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 11252942 or -38?\nAnswer: 11252942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/4)\/(5\/2 + -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*d = 8*d. Let y(m) be the second derivative of 1\/6*m**3 - 1\/12*m**4 + 4*m + 0 + d*m**2. Determine y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/((-7)\/28*-8). What is the nearest to 2 in 0.5, 1\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -59739*t**2 - 59737*t**2 + 119473*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/10 + 8\/20. Suppose 5*t - 5 = p, 3*t - 27 = 5*o - 74. What is the lowest common multiple of o and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32380475 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the second derivative of -v**4\/12 - v. Let a(i) = i. Calculate b(a(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 264*n - 529*n + 40 - 32 + 267*n + 32 in the form u + q*n and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12317752?\nAnswer: 2, 1539719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -8, -3, 3.7, 1.\nAnswer: -8, -3, 1, 3.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is i in 1296*i**2 + 6192*i + 7396 = 0?\nAnswer: -43\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 17754, 17561, 17240, 16791?\n\"Answer: -64*f**2 - f + 17819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2*w**2 - 33*w + 56. Let y be g(-18). Solve -2*q = 4*h - 14, y*h = 4*h - 2*q - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -52475786*f**2*m**3 + 2194*f**2*m - 2*f**2 - 9771*f - 5*m**4 - 2*m**2 - 1 wrt m.\nAnswer: -314854716*f**2 - 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5 + 3 + 3)*(4*n + 0*n - 3*n) + (-2 + 3 - 3)*(-4*n + 2*n - 2*n))*(-2 + 8 - 19).\nAnswer: -117*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ptxt when four letters picked without replacement from {c: 1, x: 2, u: 1, p: 1, t: 2, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 85523053 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -240*o**3 + 103*o**3 + 506*o**3 + 11*o - 11*o + 250*o**3.\nAnswer: 619*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -13*h + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -185*a + 5. Let r = 92 + -93. Does 7 divide n(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5358*d + 1854*d - 75595 - 71573 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (6\/(-15))\/(2\/190). Let p be l\/(-14) + 6\/21. Is p <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2212251 and 1497813?\nAnswer: 6267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 22.33.\nAnswer: -22.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 + 2 - 13)\/(-3 + 1). Suppose 58 = u*a - 2*r, -a - a - r + 19 = 0. Suppose -18 - a = -3*b. What is the least common multiple of b and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (9077\/2*1)\/((-275)\/(-10)). Let q = l - 165. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 PM and 7:38 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*l - 80 = -9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/138 and -101\/93702.\nAnswer: 93702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of -s**4\/4 + 2*s**3 - 3*s**2\/2 + 45. Let x be m(2). Let r(u) = u - 13. Calculate r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-45)\/(-3 - 0)*1. Let a(s) = 1 - t*s - 8*s - 7*s. Is a(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the first derivative of -2 + 1\/2*h**2 + 2\/3*h**3 - 3*h. Calculate the remainder when m(-4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the first derivative of 5*q**6\/6 - 26*q**5 + 55*q**4 + 490*q**3\/3 - 225*q**2\/2 - 360*q + 1348. Find g such that d(g) = 0.\nAnswer: -1, 1, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5213.073 decades in months?\nAnswer: 625568.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -119649, -119647, -119645, -119643, -119641, -119639?\n\"Answer: 2*s - 119651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6 + (-4 + 5)*(-1 + -2). Suppose -2*b - 4*v + v + 3544 = 0, -h*v - 7124 = -4*b. Let l = -567 + b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jsbbcjbhhssjsjcoho. Give prob of sequence ohb.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 - 2)*(-4 + 4 - 2*s) - 2*s - s + 2*s - 7*s + 3*s + 2*s + 387*s - 13793 + 13793 + (-2 + 1 - 2)*(0*s - 4*s + 2*s) - 7*s - 1 + 1.\nAnswer: 385*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ax when two letters picked without replacement from aaaaaaaxaaaaaaxaaa?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-736*o - 105*o - 5*o)*(-2*o + 6 - 6).\nAnswer: 1692*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -116, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 368 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**3 + 10*d**2 - d + 30. Let g be m(-10). Let i = -32 + g. What is the nearest to -1 in i, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9\/3485 + 37063\/4540955. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7\/2? (a) -0.9 (b) 1.65 (c) -2\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*t**2 - 25*t**2 - 6*t**2 + (2*t + 0*t + 0*t)*(-2*t + 3 - 3) - t**2 + 2 - 2 - t**2 - 3*t**2 + 3*t**2 + 2*t**2 + 0*t**2 - 4*t**2 + 4 - 4 + 2*t**2.\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 4 + 2*(0 + sqrt(192)) + 1 + 1.\nAnswer: 10 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 34600*i**5 - 166*i**4 - 395678*i**2 - 3*i + 8.\nAnswer: 2076000*i**2 - 3984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 5, -1, 14 in descending order.\nAnswer: 14, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**10\/(k*(k\/k**(-1\/2))\/k*k))\/((k*k**2*k*k*k)\/(k\/(k*k**(-1)))))**(2\/83) assuming k is positive.\nAnswer: k**(5\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -4950 (c) -2\/19 (d) -0.117 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 10*w**3 - w. Suppose 2 = 5*n - 3. Is s(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/6)\/(3\/48)*((-1092)\/(-40))\/91?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 478 = 31*u - 26*u - 12*g - 6*g, -4*g - 100 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -8*c - 54. What is b(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 29*p - 78. Let k be i(5). Let t = 86 + k. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the second derivative of 1\/6*x**3 + 0 - 1\/20*x**5 - 2*x**2 + 1\/4*x**4 - 4*x. Calculate the least common multiple of 2 and y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**5*u**(-1\/10)*u**(1\/2)\/u**(1\/4) assuming u is positive.\nAnswer: u**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1df1ee5b - -5?\nAnswer: -1df1ee56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**10)**(-1\/10) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 34345584 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be (13 - 17)*1\/(-4). What is the nearest to 7 in f, -1, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 2*s**2 - 2*s + 1. Suppose 2*c - t = 2, -2*c + 6 = -3*c + 4*t. Let g be w(c). Solve -g*u = -8*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - 2*j + 6*j + 12, 5*l + 4*j = -12. Let i = 1 - l. Suppose -y = -i - 6. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 + 0)*-1 - (-175 + 149). Suppose -5*w - q = 0, -2*d - 4*w = -4*d + 12. What is the nearest to 0 in d, 1\/6, 5\/3, -0.8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -28255, -28265, -28279, -28297?\n\"Answer: -2*b**2 - 4*b - 28249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -145, -524, -1157, -2044?\n\"Answer: -127*f**2 + 2*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 354767453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*q - 28*q + 10800 = 0. What is q rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -45? (a) 0.7 (b) -5 (c) 1 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(832) - (sqrt(832) + sqrt(832) + 0))**2 - sqrt(117)\/(sqrt(9) + sqrt(36))) + -1.\nAnswer: -sqrt(13)\/3 + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -50 - -65. Calculate the remainder when 73 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.975 minus 24828752?\nAnswer: -24828753.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 325.334 years in decades?\nAnswer: 32.5334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = z**3 + z**2 - z + 1. Let g(y) = -4*y**5 - 4*y**3 - 2*y**2 - 15*y - 2. Let n(s) = -g(s) - 2*r(s). Find the second derivative of n(h) wrt h.\nAnswer: 80*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 3*i + o + 3*o, 4*o + 5 = 3*i. Suppose -937 = -i*g + 1616. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 263, -5, -3, 3, 9, 10, 1 in decreasing order.\nAnswer: 263, 10, 9, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -5195, -22088, -50239, -89648, -140315?\n\"Answer: -5629*y**2 - 6*y + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.78 * -0.4.\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 237*r - 21119 + 8889 - 26974 = -159*r for r.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b4 + -1?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92294 is divided by 664?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4492 + -4444. Is g bigger than 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, -7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -4*l - 9. Let n be b(-3). Suppose n*v + 3*t - 2*t = 3256, -t = -1. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -174421326.56 to the nearest one thousand.\nAnswer: -174421000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of (-13552)\/(-98) + (-20)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.826*-260\nAnswer: 214.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, z: 1, g: 3, c: 2, h: 4, a: 2}. What is prob of sequence cahc?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**2*t**(-4\/7)*t**7*t*t**(4\/5) assuming t is positive.\nAnswer: t**(358\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 343 - v + v - 1656*v**3 + 1355*v**3 with respect to v.\nAnswer: -903*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0941571l to millilitres.\nAnswer: 94.1571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 154365098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -90222984392 - -0.2?\nAnswer: -90222984391.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (sqrt(66) - (sqrt(66) - -4*sqrt(66)*-1) - sqrt(66) - sqrt(66))\/(1*sqrt(6)*-1) + (sqrt(1584) + -2 - (-3 + sqrt(11))*-2))**2.\nAnswer: -312*sqrt(11) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes before 10:30 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 44272\/95 - 466. Is r equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -99*t**2 + 22*t**2 + 6*t + 17*t**2.\nAnswer: -60*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i + 6. Let x be n(-9). Suppose h + x + 23 = 0. Let a = -24 - h. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -5*12457\nAnswer: -62285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 642130865 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 3 = -43. Suppose y + 35 = 3*j. Calculate the remainder when 28 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d**3 + 11*d**2 + 12*d + 4. Let o be s(12). Let u(j) = -6 - 5*j + 3*j + o. Suppose k + 3 = -2. Determine u(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 60 and 2796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(343) - (-5 + -1 + sqrt(343))) + sqrt(343) + (sqrt(343) + -6*-4*sqrt(343))**2).\nAnswer: -857524 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1932.55 + -6?\nAnswer: 1926.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -6 divided by 1278897\nAnswer: -2\/426299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/408*848 + 32\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -50 and -20.7.\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 36077 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = -5*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 13580 and 665420.\nAnswer: 665420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -753.46*-32\nAnswer: 24110.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -10 - 12 + 29 - 2*s - 6 - 9. Let f(d) = d**3 + 7*d**2 + d + 1. Let t be f(-7). What is x(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (2708\/10)\/(1\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46 + -41 - (1 + 0 - 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 90.6 + -48\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0923 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18674602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 170.6895cm to millimeters.\nAnswer: 1706.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -71.8064 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -6552 by 148300.\nAnswer: -1638\/37075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(32) + sqrt(64)\/sqrt(2))*-4*-1 + ((sqrt(144) - -2*sqrt(144))\/sqrt(12) + sqrt(12))\/(1*sqrt(216) - sqrt(216) - sqrt(216)))**2.\nAnswer: 17672\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3966407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be -94 + 86 + 8 + 3. Solve -o = -7*z + 12*z - i, 2*z + i = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -24\/227 - -24337\/454. Let z = -56 + j. Are -4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16 - (11 + (13 - (55 - -23))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -7*k**2 + 4*k - 8. Let s(r) = -20*r**2 + 11*r - 22. Let m(h) = 11*g(h) - 4*s(h). Let i(c) = -c**2 - 9*c. Calculate m(i(j)).\nAnswer: 3*j**4 + 54*j**3 + 243*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 29515740290344 and -0.24?\nAnswer: 29515740290344.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 1056*v - 1175*v - 14850 = -1710*v - 1379*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10915607 to the nearest integer?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 11) to base 15\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*h**2*i**3*y**2 + 31*h**2*i**3*y - 2*h*i**3*y - 36*h*i*y**2 + 2*i**3*y + 5*y**2 wrt h.\nAnswer: 4*i**3*y**2 + 62*i**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3 and 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 17*r**2 + 2*r - 21. List the prime factors of y(7).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/10 in 4\/7, 13.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:33 AM and 10:57 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -2*v**3 - 56*v**2 - 56*v - 70. What is a(-27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105*z + 3*j = 106*z - 23294, 69838 = 3*z + 2*j. List the prime factors of z.\nAnswer: 2, 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -126 in -6.9, -0.1, -0.4, 0.3, 2\/7?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -3*j - 8, -4*v = -5*j - 44. Let h = v - 0. Suppose 2 + 10 = h*p. What is the third smallest value in 0, 2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -128825760 rounded to the nearest 1000000?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:07 PM and 10:45 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 189\/6*(-189)\/(-3969)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -402466709\nAnswer: -1\/402466709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6 and 9654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the first derivative of -r**7\/98 + r**6\/35 - 3*r**5\/140 - 2*r - 8. Let f(i) be the first derivative of w(i). Factor f(x).\nAnswer: -3*x**3*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 4*r - 7*r = 10, 4*r + 18 = 5*w. Solve -w*a = 3*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4210 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 2*q**2 + 6*q + 1. Let x(y) be the second derivative of -y**4\/3 + 2*y**3\/3 - 3*y**2\/2 + 18*y. Let z be x(1). Let g be b(z). Solve 8 = 3*a - g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -21 - -9887.9731\nAnswer: 9866.9731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**3*r + 43124*h**3 + 5940*h**2*r + 9*h**2 - 2*h*r + 6*r - 1 with respect to r.\nAnswer: h**3 + 5940*h**2 - 2*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2924*h + 8756*h - 2914*h - 36*h**2 + 243*h**2 - 2918*h.\nAnswer: 207*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2\/7 - 59978*j\/7 - 179916\/7.\nAnswer: -2*(j + 3)*(j + 29986)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8*j**5 - 5*j + 22*j**5 - 7*j**5 wrt j.\nAnswer: 460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -63611*k**4 + 36041.\nAnswer: -254444*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-5 - -10 - -5) + 22269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4425 or 55\/37?\nAnswer: 4425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2\/301649 + -340395\/5843846077. Is -1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10209697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-11)\/22 + -1)\/(15\/(-20)). Let y(t) be the second derivative of -26*t + 0*t**3 + 0*t**a - 1\/12*t**4 + 0. Let r(k) = 14*k. Calculate r(y(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**2 - 9*s + 54. Let n(c) = c**2 - 4*c + 27. Let u(w) = 5*n(w) - 2*z(w). Is 13 a factor of u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, r: 4, u: 1, z: 4, s: 6}. Give prob of picking 1 s and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**(-1\/42)\/w*w**(-8) assuming w is positive.\nAnswer: w**(-337\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 1660 = -3*c - 5*v, 4*c = -v + 1348. Suppose 0 = 2*y - 5*y - c. What is y rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - p - 1386 = -15181, 0 = p + 9. What is the highest common divisor of 3045 and j?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -10*g**2 - 2*g - 5. Let j(n) = n**2 - 2*n. Let u(i) = 16*i**2 - 8*i + 6. Let b(k) = -5*j(k) + u(k). What is 5*b(x) + 6*h(x)?\nAnswer: -5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**2 - 14*x + 12. What is c(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -336421, -336392, -336343, -336274, -336185, -336076, -335947?\n\"Answer: 10*r**2 - r - 336430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.4, -72, -994?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -4921 * 0.1.\nAnswer: -492.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 4, -18, 2.\nAnswer: -18, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the first derivative of -8*k - 13\/4*k**4 - 3 + 7\/2*k**2 + 0*k**3. Let p(f) be the first derivative of c(f). Find the first derivative of p(u) wrt u.\nAnswer: -78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes after 6:06 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 - 24 - -23) + -16 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 - 6. Let q = c - -18.9. Let m = -2.100006 - q. Round m to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 43533 - 43500 - (152 + -1)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*i + 2*x - 20, -5*i - 23*x = -24*x + 25 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.1582744536845 - 0.71\nAnswer: -0.5517255463155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.5 + 0.44. What is the smallest value in 1\/8, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1091, -1056, -995, -908?\n\"Answer: 13*a**2 - 4*a - 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/21 - -11\/105. Suppose -5*y = 20 + 5. What is the second smallest value in y, -7, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 25 (b) 5\/7 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in fourty-six fifths of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/15, 677, -12.913?\nAnswer: -12.913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 19 = -42. Let m = 66 + u. Let l(w) = w**2 - 4*w - 7. What is l(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18635 + 18635 + 12*q**3.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 65, -0.1, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + 2, 0 = -3*j + 3*o + 5 + 4. Let r be (-30)\/(-18)*3*j. Solve 4*z = -1 + r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -8 - 1 + 19. Solve -y + 3*t + c = 5, 3*t = 5*y + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from djiijiojjjdijijoo. What is prob of picking 2 i and 1 o?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -55*c - 3. Let m(s) = -28*s - 2. What is 5*m(g) - 3*w(g)?\nAnswer: 25*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.7 and -2721599.\nAnswer: 1905119.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 72216 by -1.\nAnswer: -72216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((4\/(-14))\/(9\/(-21)))\/(1892\/(-48246)). Let c(l) = -5*l**2 - 90*l - 76. Determine c(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(1\/4)*(b*b*b**(-1\/3))\/b)\/(b\/b**(1\/3))**13*(b*b*b\/(b**(1\/6)*b))\/(b*(b*b**1)\/b)*(b*b*b*b*b**(-1\/2)*b*b)\/(b\/(b*b*b**(-4)*b)) assuming b is positive.\nAnswer: b**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1a55954 (base 12) to base 9\nAnswer: -11456241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 + 6*y - 6. Let a be c(4). Let o be 3\/(-15)*(2 + -20). Let r = -131\/35 + o. Sort -0.3, r, a in descending order.\nAnswer: a, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34431 and 149523.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 2*q**3 - 52*q**2 + 88*q + 263. Give y(24).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1072 + 1072. Solve -b + d = 33 - 31, m = 4*b - d - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0*(5 - 4))\/(-2). Let t = 7 - 2. Suppose 2*a - 2*s = -u*a + 34, 0 = t*a + 2*s - 71. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3889 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92302?\nAnswer: 2, 7, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201101000001 + 110?\nAnswer: -201100222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 271 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that 3*r**3\/5 - 141*r**2\/5 + 273*r\/5 - 27 = 0.\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 11173289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1)\/(-372)*15\/(-710)*189302. Let q = t + 2\/2201. Calculate the common denominator of -33\/10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/4)\/((-220)\/(-447744)*48).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 103 - 57. Suppose 61*r = 59*r + l. Let m = 2365\/2 + -1160. Do m and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1520742 litres in millilitres?\nAnswer: 152.0742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = -10 - 5. Let m = b + 12. Suppose 2*g + 5*i = -16, 3*i - m*i - 8 = 0. Let j(t) = -t**2 - 2*t - 2. Calculate j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from lppkgvgkzplkllklll?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 95*w**2 + 65*w + 18. Let u be i(-4). What is the highest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 - 13 = -7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7 + -1. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rb when two letters picked without replacement from {b: 2, r: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**3 - 6*b**2 - 7*b + 3. Let z be p(7). Let s(a) = -15 - z*a + a + 3 + a**2 + 7. Let i be 30\/8 + 1\/4. Give s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 540947404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*v - 46*v + 858 = 2*k, -3*k = -v + 405. What is the remainder when v is divided by 131?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000026064 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, b: 4, g: 3}. Give prob of picking 4 u.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2.02 not equal to 23.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 253 is divided by 172.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -519*o**2 - 640*o wrt o?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 4 = 4*y + y, -4*a - 4*y + 16 = 0. Solve 5*t + a*r = 23, 3*t - 13 = 2*r + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1000011111101001010 (base 2) to base 7\nAnswer: -2236335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5991*b + 99707?\nAnswer: -5991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4904519953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 33955 - 33954.6. Which is the smallest value? (a) t (b) -50\/3 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -7*g**2 + 22*g + 57. Determine z(-7).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the first derivative of -h**3\/3 + 5*h**2 - 5*h + 1. Let r be x(9). Factor -2 - 4*c**3 - 12*c**2 + 9*c + 5*c**3 + r*c**3.\nAnswer: (c - 1)**2*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(1053) + sqrt(1053) + 0)*-6 + 3 - (3*(sqrt(1053) + sqrt(1053) + 2) - sqrt(1053) - (sqrt(1053) + 0 + -4)))*-1)**2.\nAnswer: -4032*sqrt(13) + 1078321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6e (base 15) in base 2?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1197028 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 - 9*s**2 + 9*s - 8. Let p be j(8). Solve c = -3, p*g = 4*g + 4*c - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1170 divided by -30?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 91081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**3\/3 - 1858*x**2\/3 - 11310*x - 51138.\nAnswer: 2*(x - 947)*(x + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (24\/532)\/((-2)\/(-7)*6\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the third derivative of v**7\/14 + 61*v**6\/24 + 347*v**5\/12 + 1895*v**4\/24 + 75*v**3 - v**2 + 1316*v. Find c, given that k(c) = 0.\nAnswer: -10, -9, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 75132956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -817636*-3.\nAnswer: 2452908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 35232 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 4*a. Let n(i) = -17*i**2 - 8*i + 8. Let w(q) = 6*q**2 + 3*q - 3. Let p = 54 - 46. Let l(v) = p*w(v) + 3*n(v). Give t(l(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 121984344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000135613 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together -4 and -251.087.\nAnswer: -255.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**3 - 8*q**2 - 2*q - 10. Let z be u(-8). Suppose -z*n + n = -210. Suppose -4*f + 2*g = -210, f + 0*g - n = -3*g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6044 - -6044.000003999. What is v rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 450503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - i + 1878 = -954, -3*h = -2*i - 1707. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 418 + -416. Let i(u) = 19*u**3 - 4*u**2 - 9*u + 10. Let w be i(8). Suppose 8*s + f*s = w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 16321351 (base 7) to base 13\nAnswer: 4366a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 4, 5, 2, -0.1, -0.5, 250?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 22*j = 17*j + 16, -j - 12 = 3*l. Suppose 3*m + 5*a = -14, 4*m + 1 = -4*a - 15. Put 1, m, l, -8 in decreasing order.\nAnswer: 1, m, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 + -1.6900352904.\nAnswer: -4.6900352904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1900 and 291650?\nAnswer: 583300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2234088 is divided by 2828.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 703500 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1841 - -1821. Let i(f) = -28*f - 20. Let y(a) be the second derivative of -2*a**3\/3 - 3*a**2\/2 + a. What is p*y(l) + 3*i(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30 divided by -1648.\nAnswer: 15\/824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 297 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -74, -76, -86, -110, -154, -224, -326?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n - t + 269 = -5*n, 2*t = 4*n - 558. Let s = n - 197. Let r be (s\/(-8) + -8)\/(1\/2). Which is smaller: r or -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, a: 16}. Give prob of sequence ssas.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 630 is divided by 47.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 + 133*f**2 + 5*f + 28. What is p(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -241 + 242. What is the third biggest value in 0.3, i, 10\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.93 + 0.07. Let z = c - 3.12. What is z rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*j**4 + 3*j**4 + 3 + 2*j**4 with respect to j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -40431 (base 5) to base 14\nAnswer: -d4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 65789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -14.6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -4061 (base 16) to base 3.\nAnswer: -211121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/4 + (-12)\/(-8) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 224709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 282193534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pvspspvvaapas. Give prob of picking 1 a and 2 s.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -28, -53, -94, -151, -224, -313, -418?\n\"Answer: -8*g**2 - g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*m = -6*m + 76 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -16*s + 1254. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 12:19 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (-3 - -1)*(2 - 143\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of d**8\/3360 + d**7\/2520 - d**6\/144 + 7*d**5\/120 + d**4\/24 - d**2. Let q(o) be the second derivative of s(o). Is q(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 97 times 743?\nAnswer: 72071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3450 (base 7) to base 8\nAnswer: -2354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 37431131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 977172\nAnswer: 1\/244293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l + 6. Let s(h) = h**3 - 4*h**2 + 2*h. Let t be s(3). Let i be j(t). Solve -i*c - 11 = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -8. Let d be (-2)\/((36\/(-15))\/s). Suppose g = d*g - 432. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -193*b + 8. What are the prime factors of h(-2)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 42 or 1212\/29?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 4*b**2 + 2*b - 1. Let g be (-2)\/(-2 + 3 - 3). Let o be f(g). Solve 3*l - 12 + 3 = 5*j, -3*j = -2*l + o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -639 equal to 7209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 23 greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z and 1 s when four letters picked without replacement from {v: 1, s: 1, l: 1, z: 9}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14938 divided by -22.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a factor of 6436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**2 + 8*c - 2. What is x(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 10 + (18 - 15) - -68838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 3793 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 - 57 + 51*g - 5*g**2 + 50*g - 101*g.\nAnswer: -5*g**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a - 6. Let r(m) = 140. Let f(n) = -13. Let g(x) = 65*f(x) + 6*r(x). Determine -6*g(c) + 5*i(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - -2. Let f = 0 - n. Let m be (-2 + (-104)\/(-54))*-3. Put f, 0.2, m in ascending order.\nAnswer: f, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 5*m**2 - 5*m. Let s(b) = -2*b. What is s(i(l))?\nAnswer: -10*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-6)*(-48)\/(-128)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 4*m**3 + 2*m - 1. Let c(z) = 2*z + 11. Let w be c(-5). Let o be r(w). Suppose -3*a + o*a - 102 = 0. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m - 16 = -3*v - 13, 12 = -5*m - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 82, 2, -0.3, -316 in increasing order.\nAnswer: -316, -0.3, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 24 divided by -1633348\nAnswer: -6\/408337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2158*b**2 + 221*b - 1831. Is d(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - 2004765?\nAnswer: -2004760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-10)\/(-10))\/(-2 + 1). Let u(b) = -64*b**4 + 3*b**3 - 72. Let q(k) = k**4 - k**3 + 1. Let a(l) = o*u(l) - 3*q(l). Differentiate a(m) wrt m.\nAnswer: 244*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*d - 4*d. Suppose 0 = 2*u + 3*u + b + 9, u + 21 = -5*b. Let q be u\/d - (-6)\/15. Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 12:48 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*s**3 - 35 + 2*s - 3*s**4 + 35 + s to the form w*s**4 + n + t*s + l*s**2 + i*s**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2610994 plus -46.3299246?\nAnswer: 2610947.6700754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4271496 is divided by 320.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/(-5))\/((-2)\/20). Let y = 35 - m. Suppose -5*v + y - 11 = 0. Solve v*k - 2*k - 2*o = 0, 5*o = 3*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of -5*t**2\/2 + 152. Let a(h) = 2*h + 0*h + 4*h. Determine -4*a(y) - 5*r(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -208578888 divided by -2268?\nAnswer: 91966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + 0 + -6*sqrt(7) + -1 - (sqrt(567)*5 + sqrt(7) + sqrt(63)*-6))*1.\nAnswer: -34*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 4, e: 3, c: 13}. What is prob of picking 1 c and 1 e?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4901 and 21112?\nAnswer: 274456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 68385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 521.57493 minutes in days?\nAnswer: 0.3622048125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3695.\nAnswer: 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-173)\/(-5190))\/(476\/168).\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1390079604.\nAnswer: 2, 3, 115839967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -379, -1519, -3407, -6031, -9379, -13439, -18199?\n\"Answer: 2*l**3 - 386*l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -10*c**2 - 6*c - 107. Let p(g) = -3*g**2 - 2*g + 1. Give -l(v) + 3*p(v).\nAnswer: v**2 + 110","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 12*p + 115. What is the remainder when l(-4) is divided by (-43)\/(-2) + 12\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/147 and -86\/4347.\nAnswer: 30429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 524766906 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: Suppose 3*x - 12 = -x. Suppose 4*c - x*t = -c + 16, 2*t = 3*c - 9. Suppose c*u - 545 - 810 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 41661168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7 - 17. Let v(c) be the third derivative of c**6\/120 + 11*c**5\/60 + 11*c**4\/24 + c**3\/2 - 15095*c**2. Determine v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 797 is divided by 222.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -125*v + 2. Let y be t(4). Let o(z) = 4*z + 18. Let u be o(-11). Does 19 divide y\/u + 6\/(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 161*j - 764 = -3491 - 171 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81765 is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2f82b5 + 5?\nAnswer: -2f82b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + 3*(-51)\/(-9). What is the units digit of u\/2 - (-5)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from tffftqttfjt?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + ((-4)\/2)\/(-2). Let o = 65254751\/6 + -10875791. Factor o*i + 1\/6*i**3 - 4\/3*i**d + 7\/3.\nAnswer: (i - 7)*(i - 2)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -6*r - 507. Let y = 3 - 3. Suppose 5*q + y*q - 40 = 0. Calculate the remainder when j(-92) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24024748 is divided by 402?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - sqrt(121)*-1*5)*2*5)\/(sqrt(396) + sqrt(396)*1 + sqrt(396) + (sqrt(110)*-2)\/sqrt(10)).\nAnswer: 15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 734 a factor of 442792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, v: 3, f: 9, r: 4}. Give prob of sequence rf.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -8*r. Let y(n) = 3*n + 2. Determine y(z(k)).\nAnswer: -24*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 74.96774kg in tonnes?\nAnswer: 0.07496774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2.23*0.00769\nAnswer: 0.0171487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 53 divide 107961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2216484?\nAnswer: 2, 3, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75683.\nAnswer: 75683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 7*x**2 + 4*x - 5. Let f(t) = 8*t**2 + 5*t - 6. What is 6*d(w) - 5*f(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whh when three letters picked without replacement from hhhw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-65)\/(-3))\/(15\/(-6))*9\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:35 PM and 3:24 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*k**2 - k + 1 - 296*k**3 + 1 + 294*k**3 to z*k**2 + l + j*k**3 + m*k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + 1 + -1 - (1 - (16 + -14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of -2*j - 9 + 1\/2*j**2. Let x(g) = g + 5. Let h(y) = 2*c(y) + x(y). What is h(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2877533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 - 28*v**2 - 55*v - 82. Let c(w) = -w**3 - 4*w**2 + 65*w - 26. Let g be c(0). Give p(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -8 + 4. Solve i - 17 = -4*w, w - 1 = o*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1469 divide 24683818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 944*q**2 - 520*q**2 - 2 + 4 - 532*q**2 - 1.\nAnswer: -108*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b - 3. Let p be l(5). Let k(g) = -g**2 - 3*g - 2. Let z be k(-2). Solve z + s**p - 4\/3*s**3 + 1\/3*s = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -191389 = -2*o - 9*o. Suppose -7*h + 36291 = -o. Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fjcfcettcjjtttttcf. What is prob of sequence tefj?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence auau when four letters picked without replacement from {u: 5, a: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -371 = -6*i - 53. What is the derivative of 23*g - 26*g - i + 38*g + 51*g wrt g?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -2*b + 37. Let q be k(0). Let g = -16 + q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/7174527 and -131\/15193116?\nAnswer: 258282972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 0.2, -574918, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2895 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 60 = 2*g. Is 20 a factor of (-3)\/(-4) - (-711)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-2 - 82\/(-26)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of x**4\/8 - x**2. Let j(y) = 3*y + 0*y - 3 + y - 2. Let a(r) = 2*r - 2. Let p(t) = -5*a(t) + 2*j(t). Calculate s(p(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*t**2 + 2*t + 31*t**3 + 8*t**2 - t - 3*t**2 + 0*t.\nAnswer: 31*t**3 - 32*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 7*f**2 - 8*f + 6. Let x = 10 - 15. Let a(u) be the second derivative of -u**4\/2 + 7*u**3\/6 - 5*u**2\/2 + 4*u. What is x*o(h) - 6*a(h)?\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n = 5*n + 25. Let f(z) = z - 1. Let h be f(n). Solve -h*a + 10 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that m**4\/5 - 204*m**3\/5 + 6842*m**2\/5 + 50124*m\/5 - 56763\/5 = 0.\nAnswer: -7, 1, 51, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/13, 5340, -0.575, 1\/6, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 61\/1928 and 37\/482?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 43.05 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 362665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -2*2\/2*((-6248)\/(-308))\/(-142)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3773.69 + -3745. Let x = -28 + r. Let h = 0.688 - x. Round h to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -15 * -7359093.\nAnswer: 110386395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12823 is divided by 183?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*a - 25*a = -5. Let g(r) = -22*r**3 + 4*r**2. Let z be g(a). What is z rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.5 + 0.3. Let h = 13.8 - 10.76. Let d = h - 0.04. What is the third biggest value in i, d, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 1\/7, -18, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 25*m - 23*m. Let n(d) = d**3 + d**2 + 16. What is the tens digit of n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -17a75 - 12?\nAnswer: -17a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*w - w + 2*w)*(7 - 4 - 4) + (-4*w + 0*w - 2*w)*(1 - 3 + 6) as t*w + n and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 3*f + 35 = -0*f, -4*f - 36 = -q. Calculate the highest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**2 + 9*l - 18. What is m(10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1847035 is divided by 416.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -4069200235 to the nearest 100000.\nAnswer: -4069200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -1\/747506 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l**3 + 64 + 3*l - 76 - 3*l**3 - 2*l as h*l**2 + b + o*l**3 + s*l and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 31*y - 47*y - 48 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*z + 7*z - 2*d + 40 = 68, -z + d + 14 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -4, 93 in decreasing order.\nAnswer: 93, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -0.6 * -33699349\nAnswer: 20219609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, 0.06, 3, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8990632.\nAnswer: 2, 7, 181, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*g**4 + 15*g**3 - 225*g**2 + 385*g - 180.\nAnswer: 5*(g - 4)*(g - 1)**2*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3798472548 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 k be 0 - ((-10)\/1 + 0). Let s(q) = -q**2 - 20*q + 15. Let x be s(-20). What is the highest common divisor of x and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*18\/(108\/22)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -724.89 + 724.8900038597. What is o rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 + -4458?\nAnswer: -4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 93 - 49. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*a + 3*x + 20, -5*x + 47 = a + 71 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ux when two letters picked without replacement from {u: 3, x: 1, m: 3, q: 4, d: 3, n: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -357, -716, -1087, -1476, -1889, -2332, -2811, -3332?\n\"Answer: -p**3 - 352*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.14 + -79.86. Let i = -89.2 - r. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -b - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-9)\/(-21) - (-1824)\/7. Suppose 2*q - x = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s\/(s**0*s)))**(4\/3)*(s\/((s*s**1\/s)\/s))\/(s*s*s\/(s*s**(-1\/3))) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -134 (c) 2\/15 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7908303, -15816556, -23724809, -31633062, -39541315?\nAnswer: -47449568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13 + -11. Let t(x) = -8 - 8*x**2 + u*x + 7*x**2 - 4*x - 9. Let s(y) = -9*y**2 - 21*y - 171. Let h(n) = -2*s(n) + 21*t(n). Differentiate h(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5, -1, 9, 31, 71, 135, 229, 359?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24766*m**3 + 24774*m**3 - 99088*m**3 + 24768*m**3 + 24779*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -20, 65, -43, -2 in decreasing order.\nAnswer: 65, 2, -2, -20, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 124210136 + -2?\nAnswer: 124210134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9 and -0.1.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -155 + 2141102?\nAnswer: 2140725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*g - 12, 2*m - 9 = -3*m - 3*g. Suppose -4 = -i - m*i. Suppose -7*k + 6*k = -i. Solve k + 0 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*f + 10*f + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 25850 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 107 in -2, 2\/19, -0.02, -0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v + 420 = 22*v. Calculate the highest common factor of 210 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/((-4)\/2)*-1. Suppose -3*b = 2*f + 15, -2*b + 0*f - 5*f = 21. Let l be (b - d) + (-48)\/(-9). Is 6 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**3 + 3*j**2 + 2*j - 4. What is b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*a - 34 = -2*x + 6*x, 2*x + 8 - 3 = 5*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d - 3. Let z be j(6). Put z, 0, 5 in ascending order.\nAnswer: 0, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 14 + -17. Let q be 1\/(-1*v\/(-6)). Let u = -0.3 + -0.2. Which is the closest to -0.1? (a) q (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -5 (c) -2\/11 (d) 232 (e) -1111 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -352*y - 855. Is h(-72) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -4*t - 5*l + 1622, -4*t = -l - 2178. Suppose 0 = -545*o + t*o + 14. Suppose 0*x + 3*x - 30 = 0. Solve 0 = x*g - o*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -286 greater than or equal to -19.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -158, -227, -304, -395, -506?\n\"Answer: -u**3 + 2*u**2 - 68*u - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 + 9*b**2 - 15*b + 13. Let u be z(7). Let n be u\/8*224\/42. Solve 4*q + 3*h + 3 = -4, -n = 4*q + 4*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.86 - -0.06. Let j(r) be the first derivative of r**4 + 3*r**2 - 5*r - 8. Let q be j(1). Which is the closest to -1? (a) k (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*x - 3224 + 3222 + 6712*x**2 - 9*x wrt x?\nAnswer: 13424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0*(1 + -2 + 2). Suppose -3*y + 154 = -4*b, -y + i*b + 55 = -5*b. Let w = y + -48. Solve a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 - (1 - (13 - 6) - (15 + -14)) - 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*i - 96382 + 96802 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the second derivative of 0 + 3*x - 1\/3*x**3 + 0*x**2. Let s(k) = 3*k**2. What is s(d(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = o. Suppose t = -2*g + 133, -143 = -o*g - 2*g + t. Let s = 20 + g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 3*t - 4, -2*b + t + 10 = b. Let a(u) = 2 - 1 + 4*u - 2*u. List the prime factors of a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - s = -2*s + 26, -15 = -3*s. Let q(y) = -3600002*y + 14. Let j be q(c). What is j rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-30 - (-3 + -13)) + -59 + 83?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 672228*f*v + 29*f - 3948 wrt v?\nAnswer: 672228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 115\/38676 and 5\/83798?\nAnswer: 502788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbbrbbbbbbrbbbbrbr. What is prob of picking 2 r and 2 b?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -236804 = -596*j - 231440 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pvvvhvhvh. Give prob of sequence hph.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3 + -12 + 13 + 4. Let p(b) be the first derivative of m - 3\/2*b**2 + 0*b. Let d(a) = 4*a**2. Give p(d(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 4 = 4*k, 13*v - 11*v - k = -1. Suppose -2*y + 5*y - 45 = v. Suppose -18*j = y*j - 32*j. Solve j = 2*m - m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*(-133)\/(-114))\/(((-20)\/12)\/(-1))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 17 + -15 - ((22 - -44) + (1 - -5))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -266*0.1\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f*((f*f**(7\/4))\/f)\/f*f)**7\/(f*f\/f**(-8\/7)*f)**(-29\/3) assuming f is positive.\nAnswer: f**(6157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -213 (b) -1\/2 (c) 0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6 times 0.39?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/((n\/(n\/(n**(2\/15)*n)))\/n)*n**(-9)\/n*(n**(-3)\/n)**(-48) assuming n is positive.\nAnswer: n**(2743\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -7.80219002 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3344183?\nAnswer: 311, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 18\/37 (b) -3351 (c) -0.3 (d) 4 (e) -3 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 19*a - 8. Let j(g) = 7*g - 3. Suppose d = 5*n - 29, -3*n - 2*n = 4*d - 9. Let v(i) = d*u(i) + 11*j(i). Give v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + 21*w**2 + 73*w - 21. Let a be c(24). Solve a*z + 2*n = 11, -5*z + z + 15 = 3*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/15*-3 + 398\/(-1120). Let j = 2963\/112 + t. Are 28 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 50 and 127044440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 23526 - -11637?\nAnswer: 35264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 75956012371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 6, z: 2, k: 4}. What is prob of picking 1 k and 1 z?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -1 (b) 31 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 585 and 673335?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-2 - -3) + -10 + 8 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 20321213 (base 4) to base 5\nAnswer: 2131310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -160 + 235. Suppose -9*y - c = -4935. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-335*d + 172*d + 164*d + 717)*(d + 1 - 1).\nAnswer: d**2 + 717*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5\/8 - (-4335)\/(-2040). Put 109, -0.47, z, -0.4 in increasing order.\nAnswer: z, -0.47, -0.4, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + c - 3*c**3)*(-3 - 3 - 3).\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -66, -1, -3, 46 in descending order.\nAnswer: 46, 6, -1, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 779*u. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-2*(sqrt(252) + -2))**2 + 1 + sqrt(252) + -3 + -2.\nAnswer: -4100 + 390*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 81689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -287906 * 1\nAnswer: -287906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t when three letters picked without replacement from kntntnnktnwkt?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {j: 2, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 7, 0.05.\nAnswer: 0.05, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 6*l**2 + 202*l - 6624. What are the prime factors of w(91)?\nAnswer: 2, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1082 + -531. List the prime factors of a.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 18*u. Let w(s) = 167*s - 67*s - 82*s. What is w(y(i))?\nAnswer: 324*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 2 = -6. Solve m - c + 5 = 0, -4*m = u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 + 12*b**2 - 13*b + 24. Let p be l(11). Factor -7*z**2 + z**3 + 0*z**3 - 3*z**3 + 2*z**4 + 3*z**p.\nAnswer: 2*z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wbbubwoobwwibo. What is prob of picking 1 b and 2 o?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 PM and 9:11 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.76 - -4.6826. Let u = 0.3252 + -0.1949. Let g = u + q. Round g to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 666\/4*8500\/375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 34 - 26. Calculate the greatest common factor of 64 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/42993587 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 + 53. Let v = -255 + 304. Let l = v - z. What is the highest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 212 divide 24690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 - 3)\/((-15)\/9 - -2). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 5*l - 6*l - 6*l + 5. Let n(v) = 10*v - 7. Let g(r) = 5*n(r) + 7*t(r). Let f(h) be the second derivative of h**3\/3 - 17*h. Calculate g(f(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*r**6 + 10*r**4 + r**2 - 5 wrt r?\nAnswer: -1080*r**3 + 240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42446.\nAnswer: 2, 19, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -0.45 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8329352947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4394569*i - 32129 = -4394930*i for i.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1256367*o - 4995268?\nAnswer: 1256367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3473227 is divided by 20922.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 694, 695, 696, 697, 698?\n\"Answer: l + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2345655672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3079915, 3079940, 3079969, 3080002, 3080039, 3080080, 3080125?\n\"Answer: 2*d**2 + 19*d + 3079894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*m + 2023*y - 2018*y - 51, -4*m + 56 = -4*y for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, e: 1, j: 6, w: 2}. Give prob of sequence jejw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 + 50*q**2 + 53*q - 98. Let a be y(51). Solve -2*l + 7*l + 3*u = 3, 4*l + 4*u - a = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -40 (base 6) to base 2.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12141318 - -0.2.\nAnswer: 12141318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*c - 4 + 4)*(-62 + 5 - 27) to the form y*c + g and give y.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -50*p - 46. Determine g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -475 = -11*o + 251. Suppose 4*b - 3*b - o = 0. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.03852 - 27.43148. Let v = 92 + -65. Let p = v + i. What is p rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 2*l - 37, k + 0*l - 19 = -2*l. Suppose -k = 2*a - a. Is a greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.03 - 0.23. Let z = d - -0.1. Which is the nearest to z? (a) 0.2 (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4611780543?\nAnswer: 3, 83, 151, 173, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 4*c - 7*c. Let p = 124 + -64. Let k = p + c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -209671.107 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -5*t**3 + 24*t**2 + 64*t - 169. What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 160 = -159*t + 199*t. Which is the biggest value? (a) t (b) -0.01 (c) 0.25 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 86.7 - 91. Let a = k - -4.61. Let d = 0.09 + a. Which is smaller: d or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**2 + k - 1. Let w(f) = -3*f**2 + 4. Let u(a) = -5*g(a) - w(a). Let n(s) = s**2 + 5*s + 2. Let t be n(-3). Calculate u(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b + 9*b - 1200 = 4*u, -b = -3*u - 1199. What is the smallest common multiple of b and 22?\nAnswer: 13156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 133 + -127. Let a(c) = -4*c - 1. Let u be a(-1). Suppose m + u*m - 24 = 0. Solve 4*l + m = -b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -26*g**2 - 27*g**2 - 28*g**2 + 84*g**2. Let u(q) = 5*q + 6. Determine u(d(r)).\nAnswer: 15*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37 and 942427?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-4)\/(-5))\/(4\/(-20)). Let a be y\/(-7) + (-2 - 8550\/42). Let f = -145 - a. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 61, 135, 209, 283, 357?\n\"Answer: 74*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 15578090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -292*n + 458*n - 309 + 309 + 952*n to i*n + k and give i.\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -7*o - 4. Let y be f(-4). Let u = 17 - y. Let m = 10 - u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -290, -579, -870, -1163, -1458, -1755, -2054?\n\"Answer: -b**2 - 286*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 446 minutes after 7:16 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23309120?\nAnswer: 2, 5, 23, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of -3533*m**7\/210 - m**6\/60 + m**5\/5 + m**4\/8 + 2*m**3\/3 + 21*m**2 + 7*m + 1. Find the third derivative of i(h) wrt h.\nAnswer: -84792*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-u - 3 - 1 + 0)*(-3*u + 0 + 0)*(3 - 3 + 1) to the form f + d*u**2 + w*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 5:05 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286*p + 291*p = 20. Suppose 5*t + p*x = x + 235, 2*t + 5*x = 113. What is the highest common divisor of 32 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from jzexetlz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12665, 12666, 12667?\nAnswer: 12668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 91835285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4*sqrt(19)*2 + sqrt(76)\/sqrt(4) + -5 - (-5*1*sqrt(304)*2*-3)**2.\nAnswer: -273605 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 600*p + 603*p - 2490241 = 1190*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the first derivative of 74 + q**2 - 6*q**3 + 0*q - 4\/5*q**5 + 0*q**4. What is the third derivative of g(n) wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-20))**(-30\/13)\/(u**11*u**(-11)))**24 assuming u is positive.\nAnswer: u**(14400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = -k + 1353, -2*l - 2*l - 2*k + 1086 = 0. Calculate the highest common factor of 20 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 12*q**2 + 29*q**2 - 2*q + 2*q - 56*q**2. Let z(u) = -39*u + 2. Determine k(z(c)).\nAnswer: -22815*c**2 + 2340*c - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(112)*-3 + (2*sqrt(700))**2 + -2.\nAnswer: -12*sqrt(7) + 2798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -106 + 61 - 3*b - 62 - 179 - 41*b**2 - 43 wrt b?\nAnswer: -82*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(((-20160)\/78)\/20 - (-8 - 5))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1136, 1135, 1134, 1133, 1132, 1131?\n\"Answer: -d + 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 10ac4d8 - 3?\nAnswer: 10ac4d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 0 = 27. Suppose -24 = -4*u + 2*z, 2*z + 6 = 2*u - 6. Suppose 9*s = u*s + 21. Calculate the lowest common multiple of s and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48953 is divided by 24472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of 19\/6*s**3 + 0*s - 10*s**2 + 0*s**4 + 0 + 1\/12*s**5. Find the first derivative of q(c) wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the third derivative of w**5\/20 + 61*w**4\/8 - 31*w**3 - 32*w**2 + 2. What is d in i(d) = 0?\nAnswer: -62, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 5568, 11023, 16418, 21723, 26908, 31943?\n\"Answer: -5*b**3 + 5490*b + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -26.7+54.66638787\nAnswer: 27.96638787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -928 - -928.00761. What is i rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -540509478 and -540509476 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -37406842 or -0.2?\nAnswer: -37406842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8158 + -8154. Solve -f*q + 14 = -0*q - 2*c, 2*c = 3*q - 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 10486 + 2336 = 4*z, -2*t + 5*z = -5438. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + u + 2 = 0, 5*r - 2*u = 9. Suppose -61 = -5*j - 61. Sort j, -5, r.\nAnswer: -5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8146056 is divided by 656?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6232 - 34016?\nAnswer: -43251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 21\/66718 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 + -2)\/(2*-1). Let b = i + 3. Suppose b*y - 21 = -0*y. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 + 27 = 6*m - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a + 5. Let z be h(0). Let t = 8 - z. Suppose 0 = 2*c - 10, t*c + 76 = 3*j - 20. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5 or -73\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 - 600 = -5*x. Let n be (-5)\/4 + (-573)\/(-4) + (-1 - -1). Let q = x - n. Sort 7, 4, q in decreasing order.\nAnswer: 7, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -31 + -4 - (-171 + 158).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 96, 48, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = 1183*c - 1188*c + 119, -149 = -6*c - 5*a for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (15 + -14)*1\/1. Find the common denominator of 143\/18 and o\/(14\/301) - -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(720) - (sqrt(720) + 1*sqrt(720) + 1)**2.\nAnswer: -2881 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 36 = u. Does 13 divide 3 + -1 + (u - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f when two letters picked without replacement from yyyfffy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + p - 4 = -2*b, 5*p + 2*b - 8 = 0. Solve 3*n = -p*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31.60567 millennia in years?\nAnswer: 31605.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 32 - 5 - 13 - 5*p - 4 - p**3 - 8*p**2. Calculate m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 109 and 220.\nAnswer: 23980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4266 - -4244. Which is bigger: t or -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*a + 65. Let d = a + 12. Differentiate 4651*w**2 + d + 13*w**3 + 14*w**3 - 4651*w**2 wrt w.\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + -25 + (657 - 685).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -121.8 to zero dps.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) -2\/835 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**2 + 7*p + 2. Let k be q(7). Suppose 2*w = -k*w + 2*a - 82, 2*w - 2*a + 38 = 0. Let t = w + 31. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -100 plus -1586521.34614?\nAnswer: -1586621.34614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12 - 20. Let a = -8 - n. Suppose -2*b = 3*x - a*b - 20, -2*x - 5*b + 28 = 0. What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 13896, 15465, 17038, 18615, 20196, 21781, 23370?\n\"Answer: 2*t**2 + 1563*t + 12331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h**2 - 170218152*h - 2414518272524592 = 0. What is h?\nAnswer: -28369692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -4*y - 2*x + 8, -4*x = 5*y - 10. Let b = -7013\/119 + 415\/7. Factor 0 + b*j - 2\/17*j**3 - 4\/17*j**y.\nAnswer: -2*j*(j - 1)*(j + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes after 3:17 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 3:06 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 3 = -9*k + 9*k, -3*k - 2*q = 5*q - 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-7))\/((-6)\/24)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 - 3*d**2 + d - 4. Let z be n(6). Let g = 56 - z. Let v be g\/10 + (-4)\/(-10). Sort v, 5, 3 in decreasing order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7403 is divided by 1848?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14 - 6.9. Let l = i + 8.2. Let d = l + 13. What is the nearest to 0 in -0.4, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13742 + 20900. What are the prime factors of l?\nAnswer: 2, 17321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17 - (1 + (0 - -2) + (66 - (151 + -74))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a**3\/4 - 4611*a**2\/4 + 4242829*a\/4 + 4247439\/4 = 0. What is a?\nAnswer: -5397, -1, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 5*o + 20889 = 53519, o + 13049 = 2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0.016, 3\/8, -4.\nAnswer: -4, -1\/3, 0.016, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -9*h**3 - 10*h**3 + 0*h**3 + (1 - 1 - h**2)*(3*h - 2*h - 3*h) as g*h**3 + q*h + y + d*h**2 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**3 + 6*s**2 + 9*s - 4. What is b(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**3\/i)\/i*i*((i*i**(-4))\/i)\/i*i)\/(i**13\/i**(-3)))**(3\/14) assuming i is positive.\nAnswer: i**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 0.2, 2\/15, -4224\/5, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/(-80))\/((-69)\/(-115)). Let j(s) be the third derivative of -11*s**2 + 0*s + 5\/3*s**3 - u*s**4 + 0. What is the derivative of j(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m**3*m))**(-28)\/(m**0)**36 assuming m is positive.\nAnswer: m**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -10*y + y**3 - 465 - 480 + 918 as u*y**3 + t*y**2 + b*y + q and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 11381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -138, -1060, -1982?\nAnswer: -2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes after 7:16 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*b**2 + 63*b**5 - 28*b**5 - 2*b**4 - 29*b**5 - 57 wrt b?\nAnswer: 360*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u + 2. Let j(d) = 2*d**2 - 2*d + 4. Let m be j(5). Let n be m\/(-10) + 10\/25. Let k be b(n). Let h(p) = p**2 + p. What is h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 216, -4, 4, 1788 in descending order.\nAnswer: 1788, 216, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -486*x - 85*x = 518*x + 717*x - 101136 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(68) + sqrt(17))*-4 + (1*sqrt(425))**2)*-1.\nAnswer: -425 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 27679, 55358, 83041, 110728, 138419, 166114, 193813?\nAnswer: 221516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1*sqrt(78)*2 + sqrt(78)*-1*-6)\/(sqrt(24)\/((sqrt(32) + sqrt(800))\/sqrt(8))).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b + 6. Let l(i) = -11*i - 2. Let t(j) = -5*j - 1. Let w(c) = 4*l(c) - 9*t(c). Let z(f) = -d(f) - 3*w(f). Let o(s) = s + 2. Give 26*o(p) + 6*z(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -5, 0, -4\/11, 33.12, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((1*sqrt(13) - sqrt(13)) + 0 + (sqrt(1872) - sqrt(1872)*-3 - sqrt(1872) - sqrt(13)))**2.\nAnswer: 15920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-2 - 3) - (1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-158)\/(-8) - (-150)\/(-200). Which is bigger: z or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of -31*s**5\/10 - 5*s**4\/12 + 2*s**3\/3 + 2*s**2 + s + 7. Is b(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 549202 and 1870?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2.5, 13, 5, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -64, -3, 1 in ascending order.\nAnswer: -64, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 202\/3 + -68. Let i = -1\/26 + 7\/13. Which is the nearest to x? (a) i (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -2 (b) 2\/7 (c) 8\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114 is divided by 45?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 1056, 1033, 1010, 987, 964, 941?\n\"Answer: -23*z + 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -455185*r**3 - 86*r + 461.\nAnswer: -2731110*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6255751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2 + -2 + sqrt(252) + -2*sqrt(252) + sqrt(252) - 1*(sqrt(252) + -1)*5) + 4)*2)**2.\nAnswer: -2160*sqrt(7) + 25524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1611180?\nAnswer: 2, 3, 5, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -342*o. Let r(x) = 1342 - 1342 + 2*x**2. Determine w(r(p)).\nAnswer: -684*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2652 - -53051\/20. Let i = 970 + -3186. Let l = -35471\/16 - i. Calculate the common denominator of l and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -8*k**2 + 12*k - 16. Give w(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 3900223+-0.4\nAnswer: 3900222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6221199 divided by 3.\nAnswer: 2073733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 2098, 2384, 2670, 2956?\n\"Answer: 286*j + 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 2*s = 0. Let a be (-3980)\/600 - (-12)\/9 - 3\/(-10). Put 23, s, 1, a in descending order.\nAnswer: 23, 1, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s - 4 = -s. Suppose f = -s*f + 900. Suppose 4*c + f = 6*c. What is c rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 7043.4423s?\nAnswer: 1.95651175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = i + 2*i, 0 = -3*i + 3*o + 24. Suppose 5*s + 37 = 132. Suppose 15*v + 20 = s*v, -21 = -3*c - 3*v. Solve c = i*r + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9 bigger than 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -3578986 > -3578993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 154 = s, 47 = -10*w + 11*w + 4*s. Which is smaller: 41 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:01 PM and 10:13 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-20))**(-10\/11)\/(x\/x**(-1\/29))**(2\/3) assuming x is positive.\nAnswer: x**(5580\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + -5)*(35\/(-80))\/7. Which is the nearest to 2\/5? (a) g (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 5721158 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3*d + 2504*d**2 + 1 - 4 - 2497*d**2.\nAnswer: 7*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 120, 142, 178, 228, 292, 370, 462?\n\"Answer: 7*v**2 + v + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-50)\/4)\/(-1)*2. Suppose -2*r + 19 = -5*y, 2*r + 2*r = -3*y + 103. Let o = c - r. Solve o = u, -u = 4*k - 11 + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -3*j + 2*u, -2*j - j + 4*u = -27. What is the remainder when 274 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-76)\/190*(0 + (-40)\/4)\/(-6). Sort j, 0.2, 0, -0.65 in decreasing order.\nAnswer: 0.2, 0, -0.65, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (13 - -1) + -12 + (-118 - -98)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*o**3 - o**3 - 2*o**3)*(5*o - 2*o - 2*o) + 0 + 3*o**4 + 0 + 6*o**4 - 2*o**4 - 5*o**4)*(41*o - 10*o + 23*o).\nAnswer: 54*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-12) - 13\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*i**2 + 239*i**3 - 35*i**2 + 27*i**2 + i)*(-2*i + 3*i + 0*i).\nAnswer: 239*i**4 - i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38 + 238 + 5*t**3 + 21.\nAnswer: 5*t**3 + 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does -48263 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sowsoqew. What is prob of picking 1 q, 1 s, and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 132906211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/49 and 125\/28103894?\nAnswer: 196727258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 56720 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-4*57\/76)\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5}. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.527091523 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -134e1 (base 16) in base 4?\nAnswer: -103103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/7, -2\/59, 3, -1 in descending order.\nAnswer: 3, 4\/7, -2\/59, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -765.1 - -828. Let c = f + -64. Round c to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a and 1 k when four letters picked without replacement from {r: 4, c: 4, k: 3, a: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, i: 1, t: 3, l: 1, o: 1}. What is prob of picking 2 t and 2 k?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 18, 73, 182, 357, 610, 953, 1398?\n\"Answer: 2*i**3 + 15*i**2 - 4*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2441236933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.4783 * 0.2.\nAnswer: -1.69566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**2 + h + 9. Let o be x(0). Let w be (o\/(-6))\/(3\/6). Is (w + -2)*(-267)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 + -39 + -88 + (18 - 9) - -6?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**3 - 1988*u**2 + 2000*u + 3984.\nAnswer: -4*(u - 2)*(u + 1)*(u + 498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 571*i + 9. Let y be j(1). Calculate the highest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -9*j + 8. Let i(s) = 4*s - 4. Give -2*h(y) - 5*i(y).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 129 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**3 - 333*u**2 + 2174*u - 175136. Calculate w(328).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 336\/6 + (-448)\/(-28). Calculate the greatest common factor of 16776 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 54 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -187, -1, -791 in ascending order.\nAnswer: -791, -187, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 1208 - 1037. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-15)\/25*(-53)\/12 and ((-194)\/6)\/(48\/18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + 0 - 4*-1. Suppose 3*q = 4*q + 4. Let d = 11 + -16. Put d, q, g in ascending order.\nAnswer: d, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.2 times -9.1?\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3089, -24728, -83459, -197828, -386381, -667664?\nAnswer: -1060223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-9 - -7)*(-10)\/4. Suppose 0 = -n*o + 20 - 5. What is the second derivative of -9*q**o - 6*q + 5*q + 5*q**3 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 190793591?\nAnswer: 190793591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of 15 and 40.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 + 19*w**2 + 36*w + 5. Let h be z(-2). Solve -15*c - h = -16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g**3 - 5*g**3 + 4*g**3)*(-1 + 4 - 2 + (5 - 2 - 4)*(-2 + 3 - 2) - 8 + 11 - 49)*(-g**2 - g + g).\nAnswer: -132*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from ikwk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -437, -434, -429, -422?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164*q**3 + 5*q - 5*q + 33*q**3.\nAnswer: -131*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l**4 + 0*l**4 - l**4 + (0*l + l**2 + 0*l)*(-206*l**2 - 120158*l + 120158*l) as b + v*l**4 + i*l**2 + f*l + j*l**3 and give v.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**3 + 6852*v**2 - 3912492*v.\nAnswer: -3*v*(v - 1142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2282 + -1594. Let m = 687.96 - g. Which is the closest to -2\/7? (a) -0.3 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2957 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from ddvdvd.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p\/(p**(-1)*p))\/p)\/(p\/p**5))\/(p**1\/p**2) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 45 = v + 121, h + 2*v - 31 = 0. What is the first derivative of -52 + h + 242*i + 221 wrt i?\nAnswer: 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 7*f**2 - 51*f + 8. Let p(w) = -w**2 + w - 1. What is -5*p(s) - v(s)?\nAnswer: -2*s**2 + 46*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 344 is divided by 53?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 0.071 + -56?\nAnswer: -55.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -71*x = -72*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v + 24. Suppose -2*l - 36 = l. Let z(d) = d**3 + 13*d**2 + 12*d + 15. Calculate the lowest common multiple of z(l) and h(12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20765?\nAnswer: 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 58938884 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -6251, -12505, -18759, -25013, -31267, -37521?\n\"Answer: -6254*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1400 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1287998 is divided by 3014?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (((-105)\/(-9))\/(-7))\/(5\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**3 - 9*b**2 - b - 13. Let u be t(-9). List the prime factors of 1 + 0\/u + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 3, q: 1, l: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.0078 - -0.0322. Suppose -5*g - 5*t = 24 + 1, -5*t = 0. Let r = -2 - g. Is o greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in -1, 0, 14, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2949 = 422*y - 140*y + 12511 + 7664 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -28109 + -4?\nAnswer: -2810d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-99)\/15)\/((-8)\/(3080\/33)). Solve 2*k - q = -73 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -180*r**2 - 80 + 61*r**2 + 61*r**2 + 2*r**3 + 60*r**2 to the form g*r + v*r**3 + l + c*r**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -8599*v = -8600*v + 4 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 + 11*q + 26. Let l be r(-7). Let v be ((-3)\/l)\/(108\/(-48)). Which is the closest to 0.1? (a) v (b) 1 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 + 9*k**2 - 11*k - 9. What is u(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 10:14 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 30 + -47. Let b be ((-2)\/15)\/(x\/5). Suppose 2 + 0 = -2*y. Is b at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 901 - 900. Let b = -0.3286 - -0.0286. What is the fourth smallest value in 2, -43, b, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*x - 16*x. Let b(c) = -c**3 + 9*c**2 + 3*c - 6. Let t be b(9). Let f = 16 - t. Sort -6, f, x.\nAnswer: -6, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 911 = 5*r + 106, -2*r - 4*b + 336 = 0. What is the units digit of r\/18 - 16\/(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -411*l + 220*l - 114 = -210*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -862323*k**2 + 2555869*k wrt k.\nAnswer: -1724646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 63037 or 63041?\nAnswer: 63037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 - 203*t**2 + 10122*t - 233. Calculate y(115).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 15685619113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 122 - 213. Let c = -33 - z. Let g = c - 40. Round g to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -i**4\/12 + i**3\/2 - i**2\/2 + 3*i. Let t(v) = -2*v - 8. Let l be t(-6). Calculate a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8456 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 5470*b - 21915. Calculate v(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 508728?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**3 + 114*u**2 + 110*u - 323. Determine l(-113).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -88*i + 100*i. Solve 0 = 2*s - 3*v - 11, i*s + s + 11 = -v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 290460, 290438, 290380, 290268, 290084, 289810, 289428?\nAnswer: 288920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28)\/(-18)*795\/(-424)*12\/(-10)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - 3*z + 13513, -6764 = -2*n - 7*z + 3*z. Suppose -x + n = -795. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m + 1. Let a be (-9)\/(-4) - (-2)\/(-8). Let q(d) = -3 + 4 + d + 3. Let x(h) = 1. Let f(g) = q(g) - 2*x(g). Determine a*r(i) - f(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 123\/287 + (-2)\/(-28). Let i be (-2)\/(-7) - (-1)\/21. Which is the nearest to q? (a) 0 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -2*c - 4. Let b be (-3)\/12 + 13\/4. Let k be l(b). Is 16 a factor of (2 + (-12)\/k)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2915 and 1325.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*a + 3*a = 7716. Let u = 1594 + a. Suppose 2*l = -5*m + u, m - 4*l = -m + 390. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 4, z: 1, r: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -65412.65 + 0.\nAnswer: -65412.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -1 + 1 + (-19 - -39).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/30 + (-6 + 3)\/(-12). Let s = -3\/4 + t. Let z = -14 - -13.96. Which is the third smallest value? (a) -0.2 (b) z (c) s (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n**2 + 22. Let i(u) = -u**2 - 21. Let r(h) = 4*i(h) + 3*l(h). Determine r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14523 - 5273 = -523*v + 273*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, n: 1, t: 2, v: 1, c: 1, j: 1}. What is prob of sequence vt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 54 and 48675?\nAnswer: 876150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(5760)*3)\/(sqrt(648) - sqrt(648)*2*5 - sqrt(648)))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 386836.61 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 527101 is divided by 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5468*s - 15471*s + 9792*s.\nAnswer: -11147*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -6. Let c(a) = -1629*a + 5. Let t be c(0). Let s be 40\/(-18) + 4\/18. Let o(y) = -y - 13. Calculate s*o(p) + t*q(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 126 a factor of 18743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2027 - 3?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/4 (b) -336 (c) -65314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -4*q + 4. Let u = 120 - 117. What is a(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i**(6\/13)*i))\/i**(8\/5))\/(i*i\/(i*i**(1\/5))*i)**(-41) assuming i is positive.\nAnswer: i**(4663\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 24 and 9228.\nAnswer: 221472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -774613 at most -893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llvv when four letters picked without replacement from lvdllvllv?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - 36 + 14 = 2*z + 18, 6*y + 13*z = 5 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 31 and 387190?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + 2. Suppose 0 = -3*g - 2*a - 1, -g + 3*a = -5*g - b. Solve 3 = -0*l - g*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -68*c**2 + 51. Let v(h) = -26 - h**2 + 9 + 18. What is -g(f) + 51*v(f)?\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 6 = -21. Suppose -2*v = -a*v + 2874. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 576334 and 28934?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 40005.69l in millilitres?\nAnswer: 40005690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 - (2 - 5 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by 56\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/9)\/p**(1\/3))**(19\/4)\/(p**6\/(p**(-1\/6)\/p)*(p*(p\/(p*p**(-4)))\/p*p)\/(p*p**(-3))) assuming p is positive.\nAnswer: p**(-529\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -23*t + 1. Let j be i(1). Let u be 2*j\/(-12)*-12. Does 7 divide 6\/(-4)*u\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 17 + 41 = 0. Suppose -9*m + 17 = -i*m. Calculate the greatest common divisor of 68 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 279782418*p**3 - 290295994*p wrt p?\nAnswer: 1678694508*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38 + 146 + 424)*(-3 - 1 + 2)*(-6*r + r + 4*r + (-1 + 1 + 1)*(0*r - r + 3*r) + 2*r - 5*r + 7*r).\nAnswer: -5320*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, g: 7, c: 4}. Give prob of sequence gg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -10*m**2 + 4*m + 4. Let n(x) = -8*x**2 + 4*x + 4. Let i(c) = 3*n(c) - 2*p(c). Let q(b) = 4*b**2 - 3*b - 3. Calculate 3*i(v) + 4*q(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {o: 2, l: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 926711601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**3 - 2*k**3 + 2*k**3 + 3*k - 3*k**3 - 3*k + (-3*k**2 - 2*k**2 + 4*k**2)*(0*k - 2*k + k) - 208*k**3 - 10*k**3 - 286*k**3.\nAnswer: -508*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9392728985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 2\/3, 5\/2, -147, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 103 + 33. Suppose -3*p + 5*q + 151 = 0, 3*p - 3*q - m = -q. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*l - 46 - 814. Suppose -12*q + 46 + l = 0. What is the highest common factor of 143 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-g + 0*g + 2*g)*(12 - 4 - 1)*(-6 + 4 + 3)*(47*g - 41*g + 7 + 1) in the form z*g**2 + w*g + x and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 8003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000009905456 rounded to seven decimal places?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 17534 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 take away -1.7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-147)\/(-3) + (-42924)\/588.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -77*b - 124 + 505 - 581 - 84*b - 1853 wrt b.\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20477 is divided by 144?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -n**3*q - 117331*n**2*q**2 - 2*n*q**2 + 777*n - q**2 - 2*q + 47 wrt n.\nAnswer: -6*n*q - 234662*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 229, 223, 217, 211, 205, 199?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-144)\/(-70)*4\/(0 + 4) and -7\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-3)*0\/60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 45*c**3 + 3*c**2 - 4*c + 3. Let j(u) = u**3 - u**2 + 3*u - 1. Let l(g) = -3*j(g) - n(g). Let t(a) = -24*a**3 - 2*a. Give -2*l(p) + 5*t(p).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -175*t - 2*t + 78 = -2046 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (22\/(-1) + 19)*(-2)\/(-6). Which is the third biggest value? (a) 1 (b) -3\/14 (c) x (d) -0.18 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 = 2*z - 3*j - 137, j = -4*z + 456. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5216288 and 1606?\nAnswer: 5216288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**2 + 9*s. What is x(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1, -3, 1356 in descending order.\nAnswer: 1356, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(6912))**2 + sqrt(48) + sqrt(6912) + 0 + sqrt(48) - ((sqrt(192) + 0 + sqrt(192) + sqrt(192) - sqrt(192))*4)**2.\nAnswer: -5375 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in seventy-three fifths of a milligram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 0.171 (c) 7 (d) -10027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 21817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 846177452 to the nearest integer?\nAnswer: 29089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32279768?\nAnswer: 2, 4034971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -4*f**5 - 80*f**4 - 148*f**3 - 72*f**2 = 0.\nAnswer: -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*u + 32 = 5*u. Let d(c) = -4*c**2 + 5*c. Let t(i) be the second derivative of 0 + 2\/3*i**3 + 4*i - 1\/4*i**4 + 0*i**2. Determine u*d(b) + 5*t(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(140)\/(5*sqrt(30)\/sqrt(3)))\/(3*(-2*sqrt(162) - sqrt(162))).\nAnswer: -sqrt(7)\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*y**2 - 31*y**2 + 10*y**2 + y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-216)\/(-72))\/((3\/(-4))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-30) - ((-73132)\/(-5640) - 132)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v**4\/3 + 19342*v**3\/3 - 96769*v**2 + 929092*v\/3 - 851708\/3 = 0. What is v?\nAnswer: -19357, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2547 - 0.4547. What is the closest to 2\/13 in -2\/19, 4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 8*i**2 - 2*i**4 + 3 - 35*i + i**3 + 5*i + 7*i**2 as y*i**2 + j + w*i + g*i**3 + m*i**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/((7\/(-10))\/(-7)). Suppose 24 + m = 2*t. Suppose t = 4*s + 66. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - 5\/(5\/2)) + 6. Let p(x) = 2*x**3 - x + 9. Is p(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of k**4 + 16*k**3\/3 + 6*k**2 - 4. Factor d(z).\nAnswer: 4*z*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.26 - 11.74. Let k = 0.11 + -8.11. Let u = k - h. Which is bigger: 2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 4*s - 9. Let o be u(6). Let j(m) be the first derivative of m**2\/2 - 1250. Let z(f) = 10*f. Let w = -7 + 6. Determine o*j(y) + w*z(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-10 + 4)*(-2)\/28. Is f at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + 214*l + 4430. Determine t(-30).\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, p: 2}. What is prob of picking 3 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.7 and -0.18471.\nAnswer: 1.51529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000137586 to six decimal places.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 145 + 9609?\nAnswer: 9753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.021 + -4.621. Let g = l + 0.6. Let i be (0 - -2)\/(72\/108). What is the nearest to 1 in i, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44351 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 28\/5 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 2010081*b**2 - 2010062*b**2 - 1 + 4020128*b**2.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 224635\/8 + -28079. Let t(c) be the second derivative of -k*c**2 + 0 - 1\/48*c**4 + 24*c - 1\/80*c**5 + 5\/24*c**3. Factor t(z).\nAnswer: -(z - 1)**2*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of -i**4\/12 + 4*i**3\/3 - 5*i**2 + 3*i. Let t be k(6). Suppose -2*n - t*z + 243 = 3*n, z + 50 = n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -67 + 16. Let q = -22 + m. Let l = q - -163. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + 28\/4 + 1. Suppose -4*n - 1414 = -o*k, -5*n + 7 + 13 = 0. What is the highest common factor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 51 + -26. Let a = u - 11. Calculate the greatest common divisor of a and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.65 - 1.95. Let k be (-5)\/(-12) - (-1)\/(-4). Which is the second biggest value? (a) -2\/5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 21116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vjsozfzsvsvvvvj. Give prob of sequence jzo.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62307 and 16708902.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 747582, 2990335, 6728258, 11961351?\nAnswer: 18689614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(((-2)\/(-126))\/(46\/207))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -88700, -92009, -97522, -105239?\nAnswer: -115160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1128 or 2\/20483?\nAnswer: 2\/20483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = 2*o**2. Let w(g) = 22*g**2 - 9*g**2 - 4*g**2 - 4*g**2. Give y(w(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 + -1 - (-6 + 2). Suppose 5*x = n*x + 24. Suppose -6*d - 4*h = -4*d + x, 2*d - 3*h = 16. Solve d*t = 5*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.254386 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 44646637 less than -3.4?\nAnswer: -44646640.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*g + 4 = 0. Let d = -8 + 12. Suppose 2*x + 3 = 13. Put x, g, d in decreasing order.\nAnswer: x, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1.827389 decades to millennia.\nAnswer: 0.01827389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of 0*n + 0 + 1\/8*n**4 - 5\/3*n**3 + 8*n**2. Is w(14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 n, 1 r, and 1 m when four letters picked without replacement from {l: 1, h: 2, n: 1, r: 1, m: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4244 - -4240. Which is the nearest to -1? (a) 0.4 (b) 1.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -252*w**3 + 2*w**2 - 3*w + 2. Let m be z(1). Let p = m - -751\/3. Which is the third biggest value? (a) -6 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 78 (base 15) to base 4\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9044465489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 1 - 21 = 0. Suppose -f*w = 11 - 23. Suppose -4*s - w*p - 2483 = 0, -4*s + 4*p = -113 + 2589. Round s to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4240943 is divided by 4240941.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -24*i**3\/5 - 106*i**2\/5 + 218*i\/5 - 12 = 0.\nAnswer: -6, 1\/3, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of -649*p**2 + 132*p + 1631. Let t(a) = -49*a + 5. What is -5*c(i) + 132*t(i)?\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 9, -2, 5 in descending order.\nAnswer: 9, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2 plus -14.1?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8886611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(128) + 5*(0 + sqrt(128)).\nAnswer: 4 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -73 + 96 + -36 + 100.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 75 and 690.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6 - (15 - 12))\/(3\/238). Solve 247*p - 18 = v*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -296 - -543. Suppose i = -3*h - 3, 4*i + 6 + 6 = 5*h. Suppose h = -5*u - 3*v + 372 + 29, s = 3*u + 5*v. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - 1011?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -3*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*f = -12*f - 740. Suppose v = 2*r + 3*r - f, 0 = r - v - 144. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -152532101 (base 6) to base 9\nAnswer: -6041271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 - 1. Let x be -2*(g - 39\/2). Suppose -3*w + 4*t = 15 - x, -2*w + 5*t = -14. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -48.2 and 53212.\nAnswer: -2564818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 123 - 132. Let q(m) = 3*m**2 - m + 31. List the prime factors of q(d).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1672529340 and 1140?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 384 + -374. Suppose -46 - d = -28*y. Factor 1 - 1\/2*s - 1\/2*s**y.\nAnswer: -(s - 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 2 = 10. Suppose 0*f - a = -3*f. Let j(g) = 5*g - 1. Calculate j(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71*f + 43014 - 43006 - 27*f.\nAnswer: 44*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 11474, 18325, 25176, 32027?\n\"Answer: 6851*r + 4623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1101609 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3\/(-36))\/(1\/(-3)). Let j(h) = -h + 5. Let g be j(3). What is the closest to k in -0.4, g, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*y = 3*o - 14*y - 29, -3*y = -5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the third derivative of -x**7\/1260 - x**6\/90 - x**5\/15 - x**4\/12 - 2*x**2. Let b(s) be the second derivative of t(s). Solve b(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*h**3*o**3 + 410*h**3*o - 6*h**2*o**4 + h**2*o**2 + 2*h*o**4 - o wrt o?\nAnswer: -18*h**3 - 144*h**2*o + 48*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 462676393 a multiple of 1186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*l - l + 4*l)*(-36*l + 50*l + 62*l) to c*l**2 + w + u*l and give c.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - -10. Suppose r*y - 13*y = 115. Let p = y - 91. What is the highest common divisor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c - 3 = 3*h - 13*c, 4*h + 2*c + 4 = 0. Put -4, 1, -5, -7, h in ascending order.\nAnswer: -7, -5, -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -192 - -282. What is the common denominator of 3\/56*(-108)\/(-1) and 72\/(-20)*p\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27430 and 3120?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2142.404 grams in tonnes?\nAnswer: 0.002142404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-484)\/440)\/(198\/135)*24\/(-315)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/16*(-808)\/606?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 91*g - 1176. Calculate the remainder when q(13) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/(-2))\/(((-45)\/880)\/9). Suppose 0 = -2*j + k - 72. Solve -14*d - j = -10*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*z**2 + 9*z**2 - 9*z**2 + 72 + 2*z**2 to the form c*z**2 + d*z + q and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8496430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4\/77577 - -25855\/77577. Let n be 0 - (2\/(-3) - -1). What is the closest to n in 1\/8, 3, w?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/5)\/((-1985)\/(-29775))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -30684 + 30679. Let g = -0.2 - 3.8. What is the third biggest value in s, 3, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5190.\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -55, -4, 5 in ascending order.\nAnswer: -55, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 4*f**2 + 3*f + 4. Let y be (0 - 2) + (-12)\/3. Let g(i) = i**2 + i + 1. Determine y*g(o) + 2*l(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 10632000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -48 + 79. Let g be (-1119)\/(-21) - 4\/14. Suppose 2*y - 4*a - 10 = 0, 3*a = -4*y - 0*y + g. Calculate the remainder when l is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -0*g - 11. Let i = g + -8. Which is smaller: i or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1343453816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 813965807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 3*c**2 - 8*c - 8. Let a(r) = -r**2 + 3*r + 3. Let l(b) = 8*a(b) + 3*y(b). Let d(m) = 475*m. Give d(l(k)).\nAnswer: 475*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17410 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 10781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbbrrbbr. What is prob of sequence brr?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - 6. Let l = -30\/7 + 284\/63. Let r = 2\/67 - -185\/536. Put r, l, y in ascending order.\nAnswer: l, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -714*g - 871*g + 53890 = 0 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*y - 37*y - 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 684 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1 + 1. Let k = -5 + g. Let p = 117 + -1171\/10. What is the third biggest value in k, p, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11111 + 11101?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 124412939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/2)\/(13\/(-130)). Suppose 3*o - 2*j = 32, -3*o + 4*j = o - 44. Suppose -c*x + o = -3*x. Solve -2*a = -a - 4*b + 7, 2*a + x*b = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**(-2))**(-11))**40 assuming i is positive.\nAnswer: i**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1001101100 (base 2) to base 11\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2\/(-6))\/(1\/(-15)). Suppose -8*w + 3*w = -175. Let m be ((-50)\/w)\/((-2)\/7). Solve 40 = o*h - m*y, h + 3*y = -4*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 289860 times 10?\nAnswer: 2898600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22 + (-6 - (-25 + 53)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 76 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0, 162, -10146, -5 in descending order.\nAnswer: 162, 4, 0, -5, -10146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -148 times 0.05\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, 2, 7, 0.14, 0.2, 0, 20\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: -3+-2.28814\nAnswer: -5.28814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -3063 times 2?\nAnswer: -6126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/(-7) + (-10043)\/77. Let s = 2465\/14 + m. Let f = s + -43. Which is the biggest value? (a) f (b) -2\/7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-9) - 70\/(-15624)*28?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.644 in 2, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 16 in -2, 4\/7, 1.2, -3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 54 = -0*n. Let r be (n\/27)\/(2\/(-3)). Let c be 1\/(9\/(-12) + r). Solve -1 + c = -3*z - u, -1 = -z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 26961 and 93?\nAnswer: 835791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-12)\/14*(-203)\/87. Let a be (-114)\/(-10) - (-2)\/(-5). Let p = a - 6. Solve -f*h + 13 = 5*j, -5*j + 4*h - p*h = -9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 724, 837, 1078, 1489, 2112?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -3665?\nAnswer: 4\/3665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -3936 < -3936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16108715*i**3 + 7519259*i?\nAnswer: -96652290*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 16692 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -6 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -3 - 0, 0 = 4*b + 2*k + 30. Let a(s) be the first derivative of s**2\/2 + 11*s + 416. Let d be a(b). Sort -1, d, 8, 1 in decreasing order.\nAnswer: 8, d, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113731 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7.839692t in milligrams?\nAnswer: 7839692000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*r - 13*r + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 95733 > 95733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*q = 51*q - 8814. What is the lowest common multiple of q and 2?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 152 in 4, -1\/3, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, a: 5}. Give prob of picking 2 d and 1 a.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1bf - -37?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8137 divided by 103.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-9)*s)\/s*s**(3\/5))\/(s**(-2\/5)\/(s\/(s\/(s*s*s**(-4)*s)*s)*s)) assuming s is positive.\nAnswer: s**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -37122 times -1.9\nAnswer: 70531.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*x - 573 + 8487. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -13e53 (base 16) to base 2.\nAnswer: -10011111001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2944424 + 2944424.3100026. Let m = 0.22 - 0.53. Let z = k + m. What is z rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*i - i + 9*i + 0*i)*(15192*i - 7541*i - 7603*i) to x*i + s + o*i**2 and give o.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -3*l**2 + 15*l - 20. What is r(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of 13*v**5\/5 + 11*v**3\/3 - 23. What is the third derivative of h(c) wrt c?\nAnswer: 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/7 - 2916*p - 7440174.\nAnswer: -2*(p + 5103)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/20, 1.32, -4, 5, -0.5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 16795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2770855, -2770857, -2770859, -2770861?\nAnswer: -2770863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77704315?\nAnswer: 5, 13, 127, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the first derivative of y**2\/2 + 4*y - 16. Let t be k(1). Suppose 0 = -3*i + 31 + t. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 8) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) 6341 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 5 - 7 - (-5 - 1). Suppose 0 = -4*s + r - 4*r + 6, 4*r = -x*s + 8. Suppose s = k + 4*h - 1, -k - 5*h = k - 5. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and 439.\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 488691 is divided by 649.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/20*5*6. Let v = 3 - 3. Solve v = -4*w - q*k - 16, -k - 6 = -4*w - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 8022\/8*(-170)\/75. Let z = -2269 - k. Calculate the common denominator of z and -59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -56, -599, -2176, -5333, -10616?\nAnswer: -18571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Total of 104.687 and 165815.7827.\nAnswer: 165920.4697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {h: 1, x: 1, e: 7, u: 1, k: 3}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -2*d**3 - 2*d - 1. Let k be x(-1). What is the highest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, -1\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 801 divide 450461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 8:48 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = b - 3*h + 3, -2*b = -5*h + 6. Let v(p) = -p**3 - 3*p**2 + 4*p. Let t be v(-4). Suppose 2*g = -t*g - 8. Which is greater: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81279026?\nAnswer: 2, 3709, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40784, -39936, -39088, -38240?\nAnswer: -37392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -22*w. Let t(b) = -29*b. Let n(v) = -4*f(v) + 3*t(v). Let z(l) = -172*l. Let j(h) = h. Let a(d) = -88*j(d) - 2*z(d). What is a(n(u))?\nAnswer: 256*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 10754 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1210 - 1154. Calculate the remainder when 2071 is divided by w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 279 and 1482327?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of v**8\/4 + v**6\/30 + v**5\/6 + 5*v**4\/24 + 443*v**2 - 2*v. Find the third derivative of j(a) wrt a.\nAnswer: 5040*a**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -140 + 6?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -4\/3, 131\/3, -1 in decreasing order.\nAnswer: 131\/3, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 4*r - 2 = 4, n = 3*r - 6. Suppose -25 = 5*u, 0 = -g + 5*u - 0*u + 27. Sort n, -5, g in decreasing order.\nAnswer: n, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes after 2:13 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p**3 + 13*p**2 - 5. Let i(o) = 14*o**2 + 2 - 12*o**2 - o**3 - 8*o**2. Determine -5*i(z) - 2*r(z).\nAnswer: z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 7.056383cm?\nAnswer: 0.00007056383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/9)\/((532\/126)\/19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 2*p - v + 4, v = -p - 8. What is the common denominator of (-76)\/(-16) + p\/(-6) and 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) -35.8 (d) -11\/38 (e) 0.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve w = -0*z - 2*z - 14, -5*w = 2*z + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3476.8997 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - ((-1 - -4) + (23 - 23))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 6*c - 4*c)*(0 + 1 + 0) + 12 + 10*c + 11 - 22.\nAnswer: 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16217 + -7674. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -5*g**2 + 3*g**2 + g**2 + 0*g**2. Let j(r) = 2*r + 1. Let k(d) = -18*d + 2. Let p = 28 + -24. Let s(a) = p*j(a) - 2*k(a). Give q(s(i)).\nAnswer: -1936*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56919?\nAnswer: 3, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from ffjds.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(968) - (3*sqrt(24))\/sqrt(3))\/(2*sqrt(100)*-1*3).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -2*o**3 + 5*o**2 + 2*o + 1. Let z be j(4). Let b = z - -18. List the prime factors of (-2)\/(-7) - 288\/b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/(-19)*((-12)\/24*47 + 23)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of i**4\/3 + 4*i**3\/3 + 7*i**2 - 63*i. List the prime factors of a(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (58\/10730)\/(2\/40)\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, 0.1, 2\/19 in decreasing order.\nAnswer: 3, 2\/19, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 + -3110?\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 220541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 4*h + 12 = 0. Let g = h + 30. Suppose j - g = -j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-10)\/((-650)\/2093))\/132 and -29\/10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2*2\/(-4)*(-32)\/(-64)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 192 is divided by 107?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 60\/(-1694)*-11 + 9\/21 + -1. What is the nearest to 20 in -2, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p + 9. Let f(c) = -c**3 + c + 30. Let r be f(0). Let v be 1*21*10\/r. Give g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes before 2:01 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -3*w**2 + 4 - 2 + 3*w**3 - 3*w**3 + w**3. Calculate x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 254105 (base 10) in base 7?\nAnswer: 2105555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -7 (b) 2\/21 (c) 2612\/101 (d) 1\/4 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**21\/((y**(-21)\/y)\/y)*(y\/((y\/(y*y**9))\/y))**(-31) assuming y is positive.\nAnswer: y**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6651*t**3 + 18128*t wrt t.\nAnswer: -39906*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**2 - 83*i - 17. Let h(u) = u**2 - 42*u - 10. What is 7*h(a) - 4*q(a)?\nAnswer: 3*a**2 + 38*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 + 9*m**2 - 7*m - 9. Suppose 19*u + 66 + 580 = 0. Let l = -93 - u. Let y = 67 + l. Give b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*a - 38 - 112. Let h = a - -27. Solve m - h*x = 2*m - 6, 10 = 2*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 364388851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 80 = -60. Calculate the smallest common multiple of 26 and y.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 258373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*u**4 - u**4 - 3*u**4 + (-2 + 4 + 0)*(-4*u**3 + 4*u**3 + 2*u**4) + 194*u**2 - 380*u**2 + u**3 + 188*u**2 - 26*u**4.\nAnswer: -20*u**4 + u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put together -40600689 and 0.1162.\nAnswer: -40600688.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes before 2:02 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*a - 45936 = 568*a + 1323*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 38*n**2 - 24*n + 149. Let w(x) = 115*x**2 - 72*x + 449. Let m(l) = 7*s(l) - 2*w(l). Is m(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 466098.\nAnswer: 2, 3, 131, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 427 + -418. Let j(z) = 4*z**2 + 116. Is 10 a factor of j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 355*q**4 - 473 - 66*q**3 + 42*q - 359*q**4 - 40*q wrt q?\nAnswer: -48*q**2 - 396*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/c**(3\/4)))\/c)\/((c**(2\/15)*c)\/c)*(c*c**(-2\/3)*c)**(-2\/95) assuming c is positive.\nAnswer: c**(-469\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76*n - 86*n + 14 = -161*n. Solve 5*c - 3*r = 1, -6*r + n = 4*c - 4*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = -8 + 20. Is (20\/30)\/(i\/3309) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -1667*c. Let p(b) = -24*b - 317. What is p(s(v))?\nAnswer: 40008*v - 317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 4*c**3 - 7*c**2 - 5*c + 26. Let j be m(5). Suppose j*k = 325*k + 62. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4.8 (b) 8\/3 (c) -2\/19 (d) -12.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 2*i - 12 = 0, 0*k - 4*i = -2*k. Let l be (-56)\/(-12) + k\/3. Suppose d + 3*t + 17 = 7*t, 0 = -l*d + t + 7. Solve d*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(6*2)*((-8015)\/12824)\/((-15)\/(-42))?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, m: 1, v: 1, o: 2}. What is prob of picking 1 m and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1148 + -20791\/18. Let j = 2516 - 10151\/4. Calculate the common denominator of j and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 290 by 1.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2237064, -4474136, -6711208?\nAnswer: -8948280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4154)\/2480 - 99\/88.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 38220379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -k + 54*d - 59*d, 4*k + 4*d = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y - 5*g + 6207 = 2*y, -y = 3*g - 3104. Suppose y = -5*u - 2*p, 2*u - p + 2*p + 1241 = 0. Let l = -13003\/21 - u. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 370 is divided by 100?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i*i**(-6\/11))\/(i\/((i**0*i)\/i)))\/(i**(-2)\/i*i\/(i\/i**4)*i))\/((i*i**2)**(-37)\/(((i\/i**(-1\/3))\/i*i)\/i)**3) assuming i is positive.\nAnswer: i**(1204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6698210*q + 1415414 wrt q?\nAnswer: 6698210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b + 21665 = 15*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002091387301 to seven dps.\nAnswer: -0.0020914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 139\/112410 and -61\/20?\nAnswer: 224820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/4))**28*(c*(c**(2\/7)*c)\/c*c)**(7\/3) assuming c is positive.\nAnswer: c**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**3\/2 + 935*g**2\/4 - 587*g + 235 = 0. What is g?\nAnswer: -470, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -173\/4? (a) -1\/3 (b) 1\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19027 - -29902. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 5*l**3 - l**2. Let b be s(1). Suppose -5*y - 86 = -3*t, -5*y + 105 = b*t - 2*y. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 1108.0422ms?\nAnswer: 0.0000128245625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/6*8\/6. Let j = -5 + 5. Sort -4, t, j.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -72 (c) -4\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*w = 10*w + 330. Let o(u) = u**2 + 1. Suppose 4 = -5*s - 1. Let j be o(s). Solve 4*k - w = -l, -5*k + j = -l - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36531426, 73062835, 109594244, 146125653, 182657062, 219188471?\nAnswer: 255719880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -2*t**2 + 135*t - 942. Let j be o(58). Solve j*s + 8 = 161*s + 4*a, -5*a + 15 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 49044*l - 1029932. Determine t(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 2 + 2 - 3*k**2)*(2 + 1 - 5 + (1 + 2 + 1)*(3 - 3 + 2)).\nAnswer: -18*k**2 + 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-1 + -1)*2)\/(54 - (20 + (-44 - -4)))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 12*n - 2. Let s be y(1). Suppose -3*b - 28 = -s*b. Suppose b*x + 25 = g, 3*g + 2*g - 5*x - 155 = 0. Calculate the highest common factor of 66 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 112011000110121 - -22?\nAnswer: 112011000110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(7) + 5)**2 + sqrt(7) + 5*(0 + sqrt(7)) + ((sqrt(252) + -5*sqrt(252))*-2 + 1)**2.\nAnswer: 116*sqrt(7) + 16185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/12*-16*45\/(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16546 divided by -8273.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 6*y = -8*y + 2723, 2*b - 3*y - 1824 = 0. Let r = -880 + b. What is the remainder when 135 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 425610 divided by -212805\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*-1*3\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1347881861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 + (0 + 0 - -1). Suppose 0 = 4*d + 3*f - 101, f + 1 = -g. Let b = d - 204\/7. What is the nearest to -2 in 0.3, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -210 + -3?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -25173 - 3.9?\nAnswer: -25176.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -4*l**2 - 564556*l + 564560 = 0.\nAnswer: -141140, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -69*p**3 + p**2 - 90 with respect to p.\nAnswer: -207*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 498596627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 7*q + 1433. Let i(f) = 24*f + 4300. Calculate -3*i(l) + 10*y(l).\nAnswer: -2*l + 1430","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 PM and 3:09 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 3*s - 10. Let y be i(4). Is y equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffxffxfxxffx. What is prob of picking 2 x?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*k - 21 = -196 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of -p**3\/12 + 9*p**2\/8 - 7*p\/2 - 68. Suppose o(z) = 0. What is z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1977.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 61840 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.187 - -0.137. Let w = -0.45 - j. Which is the closest to -2\/3? (a) 1\/4 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/6 - -7\/30. Which is the biggest value? (a) 3 (b) v (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -14905251, -29810505, -44715759?\n\"Answer: -14905254*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*z - 76*l + 77*l - 4, -2*z + 4*l - 16 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 100*k - 21*k = 762 + 1213 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5)\/(20\/(-12)) + -32. Let t = g - -56. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-519)\/(-21) + (18\/(-21))\/(-3). Suppose -19*x - y = -14*x. Let k(h) = -h**3 + h**2 + h + 1. Let t(q) = -6*q**3 + 5*q**2 + 5*q + 5. Give x*k(w) + t(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxjxxjjjxxkx. Give prob of picking 2 x.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-400)\/2300*1*(-2)\/4\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -314.28 - -4.28. Let c = p + 216. Let a = c - -93.9999982. Round a to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3126 + 3*t**3 - t - 1877 - t**3 + t - 1249.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/9)\/(y**(-1)\/y))**(-22)\/((y**(2\/5)*y)**45\/(((y*y\/(y*y\/((y*y**(-2\/15))\/y)))\/y)\/(y**(1\/2)\/y))) assuming y is positive.\nAnswer: y**(-9907\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 278238522?\nAnswer: 2, 3, 46373087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 5*b - 16. Let a = -1819 - -9143\/5. Determine w so that 32\/5*w**3 - 2\/5 - a*w**b + 18\/5*w = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -32278.00024 + 32281. Let d = z - 3. Round d to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-40)\/80)\/(2*1*66\/72).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 0.1 (b) -10\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add together 1 and -52570.\nAnswer: -52569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 27040 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.94 + 1.94000039. What is k rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of -3*h + 1\/6*h**3 + 13\/2*h**2 + 0. Let r be s(-7). Calculate the greatest common divisor of 18 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 11203 (base 4) to base 6\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = 4*w + 16*g - 17*g, -5*g - 18 = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 15 = 3*w, -6 = -3*y + 2*w - 3*w. Suppose 0 = 4*o - 2*g + 4*g - 10, -g - 2 = -5*o. Let u be y\/o*(-4)\/(-6). Solve -x = u*l - 1, x - 6*x = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17703 - -17704. Put s, -1\/840, 0 in descending order.\nAnswer: s, 0, -1\/840","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 2*u - 7 = 0, -2*r + 5*u + 14 = r. What are the prime factors of 294\/3 - (-1 + r)*-1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 24 + 51 = 0. Suppose 0 = -3*b + j + 3*j + 102, -m = 5*j. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 2, b: 5, c: 2, p: 1, f: 4}. What is prob of sequence ccx?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 178 and 11392?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.24*116942.\nAnswer: 28066.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 455310 - 227643 - 57*f - 227667.\nAnswer: -57*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/13 - 6291860*i\/13.\nAnswer: 2*i*(i - 3145930)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 18845778*f**4 - 223296*f**2 - 73.\nAnswer: 452298672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/4753, 3, -2\/11, 2\/13 in decreasing order.\nAnswer: 3, 2\/13, -1\/4753, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 - 37*x**2 + 8284*x - 287491. Give w(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 52*a + 176 - 31 + 63. Let j(g) = -3*g**2 + 17. Calculate j(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s - 3. Let y be w(-1). Let d be (3 + y)\/1 - 75\/(-57). Is 0 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h + 989. Let v(a) = -2*a. Determine v(j(q)).\nAnswer: 2*q - 1978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 8709048 divided by 86?\nAnswer: 101268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55, -70, -107, -178, -295, -470?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-22)\/154*-3*120\/(-48)\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2997.6468 months in millennia?\nAnswer: 0.2498039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 4 - 34 = 0. Let a be w\/(-20)*(-24)\/18. What is the biggest value in -3\/5, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -827133 or -9098478\/11?\nAnswer: -9098478\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 0*x - 388 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-32)\/(-6) - 2\/6. Let t = -503 + 503. Solve n*w + t*w = m + 17, 1 = m + w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3 + 974 + (4 - -2) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 310728317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2 + 160*o**5 - 164*o**5 + 0 - 4*o**4 - 2.\nAnswer: -4*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -193.8281 times -5\nAnswer: 969.1405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27) + -1)*3 + (5 + sqrt(147) + 0 + sqrt(147))**2.\nAnswer: 149*sqrt(3) + 610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-342)\/(-95))\/((-36)\/(-40))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-64)\/96)\/(2*3\/(-36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 2*g**3. Let a be p(-1). Let l = -3189 + 35049\/11. Calculate the common denominator of l and (a\/6)\/(3\/153).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14741, 14742, 14745, 14750, 14757, 14766?\nAnswer: 14777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-8\/3)\/y)\/(y*y\/(y**(-1\/2)\/y))*(y\/(y*y*y*y**(-3)))**(8\/9) assuming y is positive.\nAnswer: y**(-95\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 3486\nAnswer: 5\/3486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*w + 19*w - 7*w + 2 + 2*w - 4.\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*b**3*w - 193*b**3 - 12*b**2 - b + 671*w wrt b?\nAnswer: -18*w - 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-2)\/(-4))\/((-2)\/(-8)). Suppose -p*w - 3*w + 20 = 0. Solve 0 = l - 3*l - w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/(-42)*-2)\/((-2)\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-96)\/(-88)*924\/(-56)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 213 and 2140011.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(-1*2*sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108) + -2 + 1) + -1)**2 + 5.\nAnswer: -360*sqrt(3) + 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 2*y - 77. Suppose -4*d + y = -122. Suppose 0*f = 2*f - d. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 116845 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ipaphiaxuaax. Give prob of sequence xhxa.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/36 and -29\/464679?\nAnswer: 1858716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -133 divided by 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**2 - 1. Let n(w) = -4*w**2 + 25*w - 6. Give 5*g(k) - n(k).\nAnswer: -k**2 - 25*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = g + 13, -4*n + 39 = 2*g - n. What is the remainder when 58 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-6)\/(q\/(q*q*q**(3\/7)))*q**(-2\/5)\/q*q*q*q**(1\/10)*q*q*q*q assuming q is positive.\nAnswer: q**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25.6 - 29633110.\nAnswer: -29633135.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 155431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/((-10)\/200*25)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 232.8345 rounded to zero decimal places?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*l**3 + 295*l**2 - 5*l - 295.\nAnswer: 5*(l - 1)*(l + 1)*(l + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 3:01 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 4776 = -8*l. Suppose -196 = 2*m - l. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(102) + sqrt(102) + -3*sqrt(102)*-3)\/sqrt(6).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*a**2*g**2 + 11567*a**2*g - 718236*g**2 with respect to a.\nAnswer: -4*a*g**2 + 23134*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o = -251 + 273. Suppose 0 = 2*s - o*u - 20, 2*s = -4*u + 11 - 21. Let v be 0\/1 - (-23 + 1). Solve s*q - 7 = -v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 - 1 = 12*x. Suppose -n + 3*u = -2, u + 10 = 5*n + 6*u. Is 539 + (x + n)*(-2 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 32841 and 21627?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 3787a (base 15) to base 2.\nAnswer: 101011010100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 415702.6 centuries in months?\nAnswer: 498843120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bkxfxvxxkbvxxkf. What is prob of picking 2 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + (-3 - -3) + 2. Let z(f) = 7*f**3 - 11*f**2 + 4*f - 5. Let s(l) = -l**3 + l**2 - l + 1. Let x(i) = -6*s(i) - z(i). Does 8 divide x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28 and 3290.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 5*r - 485, -4*a + 3*r - 455 = 1393. Let c = a - -846. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -111 + 125. Let t = d - -137. What is the remainder when t is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96248 (base 16) in base 7?\nAnswer: 5140646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3148*s - 4887 = 20101 + 6492 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*f - 32 = 2*f. Let c be 1 - ((-2)\/f + (-1138)\/4). Suppose 324 = 5*o - c. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (16\/(-5))\/((-94)\/(-10)). Let i = 1678\/235 + m. What is the common denominator of i and -38\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.6769 (b) -3\/2 (c) 2\/3 (d) 6 (e) -1\/3 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -65 or -1118\/17?\nAnswer: -1118\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -r + 18. Suppose -30 - r = -4*f. Calculate the least common multiple of f and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33.0499933 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 17904 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 81 + -80. Sort -3, k, -8 in descending order.\nAnswer: k, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3\/6)\/(5\/30) + -3. Solve 4*a + 6 = -2*v, 5*v = a - h*v + 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1615 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from upupppup?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iyiag. What is prob of picking 1 a and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 13 and 48897?\nAnswer: 635661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 7224.817 days to milliseconds.\nAnswer: 624224188800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -d**2*r**2 - 2*d**2*r - 32*d**2 - 6*d*r - 2*r**5 + 26*r**3 wrt r.\nAnswer: -2*d**2 - 40*r**3 + 156*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, 616, 0.07 in increasing order.\nAnswer: -1\/4, 0.07, 616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 24 and 33576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3 = -0, -z + 5*f = -5. Suppose -5*h - 33 = 2. Let l = h - z. What is the smallest common multiple of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 4*k - 7. Let y = -3 + 10. What is the tens digit of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5760 divided by 288?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4694477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 97942001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2.3, -6\/7, 0.3, 1.6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 8*x. Let s(b) = -7*b - 1. What is -3*n(c) - 4*s(c)?\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 10234484 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1085980 - 2506567 = -199*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -10. Suppose -11*g = -5573 - 5328. Suppose -5*q = -3*s + 7*s - g, 0 = f*q + 5*s - 393. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2207713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/16 - (546\/48 + -5). Sort 2, v, -76.\nAnswer: -76, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 85, 234, 439, 700, 1017, 1390, 1819?\nAnswer: 2304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.26 + -0.26. Let d = -0.2 + -0.3. Which is the closest to 0? (a) w (b) 2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -6 and -0.011 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 22 + 75 - (25 - -22)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4078*s = 7323 - 23635 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(180))\/sqrt(4))\/(sqrt(9) - 1*sqrt(144)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 69 - 77. Solve 4*l - 19 = -l + v, -c*l + 5*v = -26 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/348 and -77\/5484?\nAnswer: 159036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 312168?\nAnswer: 2, 3, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2*s**2 + 185*s - 522. Let p(l) = 130*l - 5. Determine p(t(v)).\nAnswer: 260*v**2 + 24050*v - 67865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 282050, 282120, 282312, 282686, 283302, 284220, 285500, 287202?\n\"Answer: 10*a**3 + a**2 - 3*a + 282042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -18036.247 - -18048. Let m = o - 11.7. Let w = -0.034 + m. What is w rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1932 + 1936. Solve 18 = -5*d + 4*v, -3*v = q*d + v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2066 is divided by 1892.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out 199 * 0.0379.\nAnswer: 7.5421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -3*w - 2. Suppose -s + 1 + 11 = 0. Suppose 3*a = 12 + 3. Let t(r) = -a - s + 16. Give -o(d) + 2*t(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 27637.2 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c + 8829 + 7110 = 226*c for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-52)\/(-6) - (-3)\/9. Let a(c) = -744443*c - 13. Let m be a(i). What is m rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + 592 + 764. Suppose 5*u - h = 2*h + 565, o = 3*u + 5*h. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 2 = 2*v, 4*w + 1491 - 1507 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -u**3 - 604*u**2 + 104021*u - 103416 = 0. Calculate u.\nAnswer: -744, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 10 = l. Suppose 4*r - 27 + 7 = 0. Solve 2*j = -l*z + z, r*z - 4*j + 28 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*h + 1140 + 2089 = -863. Solve h*y - 24*y = -60 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -33, -69984, -5\/4, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -14*a**3 + 2*a**2 - 2*a. Let f(j) = 27*j**3 - 5*j**2 + 5*j. Suppose -4*m - 4*k = -48, -13 = -m + 3*k - 25. Determine m*f(h) + 15*l(h).\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 2\/7 (b) -708.37 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from slakmajljlssaamsj. Give prob of picking 1 j and 1 m.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -o + 11, d + 9 - 20 = -5*o. Let s(j) = -19*j + 24. Give s(o).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 486389927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from axwmq. Give prob of picking 1 x and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.04, 0, -2\/3, -50, 0.3 in increasing order.\nAnswer: -50, -2\/3, -0.04, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -460*w - 2 + 2 + 469*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -4*u. Suppose -z = n - 5, 4 = 5*n - z - z. Let l(g) = 773*g**n - 5*g + 5*g - 785*g**2. What is m(l(o))?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((5*sqrt(475)*-4 - (sqrt(76) - (-4 + sqrt(76)))*-5)*-1)**2.\nAnswer: -4000*sqrt(19) + 190397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 48\/7 and -7\/114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (((-4)\/24)\/((-4)\/8))\/(((-1088)\/(-5856))\/34)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000022936025 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(150)*2)\/sqrt(288).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -2365.03734 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 742679642 to the nearest integer?\nAnswer: 27252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 56240 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 710 > 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -87*c - 8. Let f(w) = -260*w - 22. What is 3*f(l) - 8*m(l)?\nAnswer: -84*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.4 - -0.6. Let r be (-1 - 3)\/(4\/(-10)). Let i be r\/(-100) + 16\/10. What is the nearest to 0.1 in i, y, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (314 + 62 - 104)*(2*m**2 + 3*m**2 - 2*m**2).\nAnswer: 816*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 37047 and 477?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -473 + 635. Find the third derivative of 0*k**3 + y*k**2 - 22*k**3 + 75*k**4 - 149*k**4 + 71*k**4 wrt k.\nAnswer: -72*k - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24454*j - 12068*j - 10877*j to i*j + g and give i.\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 16 = 6. Let m be (-12)\/16 + (-148)\/(-208) + (-108)\/234. Which is the biggest value? (a) 0.07 (b) m (c) p (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1862699 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 32963970 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1188956 and 524.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -4, -596, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -4, 8, 16, 14, -4, -44, -112?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.91 - -82.579.\nAnswer: 84.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -352*a**4*o + o + 378 wrt a?\nAnswer: -1408*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-8140)\/3330 + 21\/(-27) + 1\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 69605.55cm in kilometers?\nAnswer: 0.6960555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 + 11*p**2 - 8*p - 3. Give s(11).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.44745 nanometers to millimeters.\nAnswer: 0.00000644745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -763, -739, -703, -655, -595, -523, -439?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000224165 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.581 + 0.419. What is the nearest to j in -0.4, -0.5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -3*n**4\/2 + 159*n**3 - 2637*n**2\/2 - 107259*n - 105780 = 0.\nAnswer: -20, -1, 41, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -g**5\/3 + 245*g**4\/3 - 12703*g**3\/3 - 53533*g**2\/3 - 67972*g\/3 - 27388\/3 = 0.\nAnswer: -2, -1, 82, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + 55326042?\nAnswer: 55326044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*s + 20*z + 218 = 18*z, 0 = -4*s + 5*z - 36 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1.042 - 0.642. Put -5, -0.01, 3, x in increasing order.\nAnswer: -5, -0.01, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, t: 5, e: 4, h: 2}. Give prob of sequence htit.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2455 - 3863.3. Let k = 2.3 + o. Let u = k - -1324.7. Round u to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of c**3\/3 - c**2\/2 - 2. Suppose -2*v = -5*v + 5*m - 28, -2*v - m - 10 = 0. Let o(u) = -u**3 + 6*u**2 - 6*u. Give v*g(a) + o(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 15) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -327 + 330 + -7 + (2 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -49.3, 0.5, -0.09227?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/6)\/((-17)\/(-102)). Let l(m) = 2 - u*m**3 + 4*m**2 - 2*m**3 + 3*m**3 + 3*m. Is l(4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 6, s: 1, b: 1, u: 3, h: 2}. What is prob of picking 1 u and 1 h?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -63 + 59. Let g = -2\/19 - 70\/57. Which is the second smallest value? (a) f (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2902, -5806, -8710?\nAnswer: -11614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**3 - 5*g**2 + 11. Calculate the remainder when 31 is divided by d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/((((j**(-7)*j)\/j)\/j*j)\/j)*j*j*((j\/((j*j\/(j*j**(-3)))\/j*j)*j)\/j)\/j*j)\/(j**(-5\/2)\/j**(-2\/3)) assuming j is positive.\nAnswer: j**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 173\/8185230 and 25\/10640799.\nAnswer: 106407990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 2*g - 4*h + 16, -5*h + 20 = -3*g. Let k(u) be the third derivative of u**2 + g + 0*u - 1\/240*u**6 + 0*u**5 + 1\/48*u**4 + 0*u**3. Factor k(v).\nAnswer: -v*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*w + 4*g = 36*w - 3, 5*w + 2*g = -29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*n + 2*n + n)*(2 - 3 - 5) + (-4 + 0 + 2)*(0*n - 2*n + n) + 2*n + 1 - 1 + 0*n + 4*n - 2*n + 1 - 2*n - 1 + 2*n - 4 + 4 - 3.\nAnswer: 18*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1245408 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 10519 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -2176*d**2 - 1445*d**2 - 17*d + 996*d**2 + 15*d in the form r + w*d + z*d**2 and give z.\nAnswer: -2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -21, -138, -385, -828, -1533, -2566?\n\"Answer: -11*l**3 + l**2 - 43*l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 181*h**2 + 1992*h + 5. What is a(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + 18 + -8 + (12 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 685132.3 millennia?\nAnswer: 8221587600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 415252 (base 8) in base 7?\nAnswer: 1113015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 AM and 6:31 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*k - 3*k. What is the derivative of -251*r - 6 + 251*r + k*r**2 wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 61 - 2443ab?\nAnswer: -24434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 3060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes after 5:54 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a - 11 = -3*y - 0*y, 2*a - 5*y - 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -264 smaller than -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 5 - 12)*(136 + m**2 - 50 - 46) in the form q*m**2 + v*m + c and give c.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 634*p**2 - 6*p - 5. Give k(-1).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 103362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -13*l + 1. Let q be w(-4). Suppose 4*v - 122 = 178. Let z = v - q. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -129850 (base 11) to base 8.\nAnswer: -615107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -4*u**3 + 68*u**2 - 41*u + 705. Suppose 4*k = 3*k + 352. What is the smallest common multiple of k and c(17)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.3 in 4, -3\/8, 13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 49 - 38. Suppose 3*j + 3*v = 2*j + h, 2*j - 2*v = -2. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4541 and 165866?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 4*v + 2. Let g(d) = d**2 - 20*d - 11. Let l = 18 - 6. Let i be (l\/12)\/(1\/(-2)). Let y(f) = i*g(f) - 11*c(f). Determine r so that y(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.7 and -983.\nAnswer: -1671.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f**3 + 2*f - 1 + 5*f**3 + 4*f**3 - 16*f**3 + 3*f**3 to b*f + j*f**2 + a*f**3 + y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -11.1 + 11. Let p = 6 + -5. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/58928 and 11\/302768.\nAnswer: 8780272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 1874 = 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 23 = b, 0 = 7*w - 3*w + 5*b - 89. What is the greatest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*(-9*1)\/(-3). Suppose -5*t - 3*q = -13, 0 = 2*t + 5*q - 1 - 8. Solve 2*p = 3*x - 7, -x - z*p = -t*p - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 707703?\nAnswer: 3, 235901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (48\/(-9))\/(-5 - (-102)\/18). List the prime factors of (-7 + 16 + -215)*r.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 45*l**3 + 3*l**2 - 6. Calculate the least common multiple of 78 and c(2).\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 1473*t - 100. Let s be h(7). Let b = 18112 - s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -827293520, -2\/3, 0 in ascending order.\nAnswer: -827293520, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {f: 3, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*w - 0*w + 2*i, -1 = -w + i. Let t = w + 6. Let r(s) = -4*s**2 - 6*s - 6. Let k(b) = -3*b**2 - 5*b - 5. Give t*k(y) - 5*r(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 12) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.9 and -15575674171.\nAnswer: -15575674169.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*(-4)\/4 - 2. Solve -c - c + 4*n = 14, -c + 3*n - 8 = h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 156\/11, 1\/5, 1, 0.8 in descending order.\nAnswer: 156\/11, 1, 0.8, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1448 + -1009. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the third derivative of -f**4\/8 + f**2. Let y(p) = 0*p**2 + 0*p**2 - 2*p**2. What is z(y(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 - 12*x**2 - 40*x - 72. What is o(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 5*r - 25, -2*p + 125 = 2*p + 5*r. Let a = p + -92. Let k = -37 - a. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10.3, -31, 0.5, 1 in ascending order.\nAnswer: -31, -10.3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 877 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 165 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m - 1. Let q(c) = -112*c - 140. Let i = 82 - -58. Let k(o) = i*x(o) - q(o). Let t(z) = -5 + 5 - 4*z + 2*z. What is k(t(r))?\nAnswer: 56*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 + 96\/40)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/7)\/x*x)\/x**(6\/5)*(x\/x**3)\/(((x**(-1)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(-47\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 535*b - 6. Let l(f) = 162*f - 2. Let a(d) = -16*l(d) + 5*u(d). Let m(i) = 37848*i + 913. Determine -913*a(x) + 2*m(x).\nAnswer: -83*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -53 (b) 16370 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*t = -0*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-120)\/(-800))\/(45\/225)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of g**7\/56 + 17*g**6\/96 - 3*g**5\/16 - 85*g**4\/96 + 5*g**3\/4 + 68*g**2. What is r in y(r) = 0?\nAnswer: -6, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.38, -1\/5, -5\/6 in descending order.\nAnswer: 0.38, -1\/5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -6*s**2. Suppose 4*y + 116 = 8*y. Let h(c) = -33 - y - 6*c + 62. What is m(h(l))?\nAnswer: -216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3247 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 15) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t + 6. Let q(n) = 1. Let k(v) = -h(v) + 6*q(v). Let w(p) = -4865*p + 4865*p - 23*p**2. Calculate k(w(l)).\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -20\/12359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34, 73, 112, 151, 190?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - 1.8. Let g = 0.2 - t. Put 2\/17, 2\/9, g in decreasing order.\nAnswer: g, 2\/9, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v**2 + 4032 - 2013 - 2019 - 10*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 + 2*p**2 + 5*p - 5. Suppose -24*r + 55*r - 62 = 0. Determine u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20977806 is divided by 688?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 1842*j - 1843*j + 4*c + 4 = 0, -3*j - 8*c = -37*c - 29 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 2*g - 5. Let s(y) = -4*y**2 - 5*y**3 + 3*y**3 - y**3 + 2*y**3 + 6*y + g. Give s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, d: 11, r: 1, a: 2}. Give prob of picking 2 a, 1 d, and 1 g.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 105, 210, 311, 408, 501?\n\"Answer: -2*s**2 + 111*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -21*z + 3. Let r be w(0). Suppose -5*u - 4*q = -r*u - 254, -3 = q. Calculate the remainder when u is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 + -6 + -13 + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of -9\/2*m**2 + 1\/4*m**4 + 9*m + 8\/3*m**3 + 18. Calculate r(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 18 + 14 = 0. Let w = -17 - -25. Is 19 a factor of (88\/(w - b))\/((-2)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 224452.48 days to weeks.\nAnswer: 32064.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -433*s + 24 = -425*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -488*f**3 + 1329*f?\nAnswer: -2928*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1\/2))**19)**1 assuming s is positive.\nAnswer: s**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.15 from -2.913453169.\nAnswer: -2.763453169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 5) + 3 + -4 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 927 is divided by 256?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -11917 (base 10) in base 15?\nAnswer: -37e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 8*g - 3. Let l(p) = -39*p + 15. Suppose 1562*d = 1533*d + 145. What is d*l(t) + 24*w(t)?\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*z - 46*z + 9*z - 31*z.\nAnswer: -58*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = 2*l - 10, -5*l = 4*f - 0*f - 38. Suppose i - 2 - l = 0. What is the first derivative of -v**4 - i - 2*v**4 + 2*v**4 wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000008749 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -0*g + g + 65, 3*g + 15 = 0. Suppose 4*d - 313 = u, 2*d + 2*d + u = 311. Calculate the remainder when d is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 10209 + -9624. What is the highest common divisor of 351 and k?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 261 = -2*w + 2993. Suppose -5*f + 5*c + 1480 = 0, 4*f - 3*c - w = -186. Let j = -101 + f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 - (1 - (-2 - -14)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express a**2 + 2 - 2*a**2 - a**3 - 2*a**2 - 2*a**3 as g*a + p + b*a**2 + o*a**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + w - 6 = -w, 5*w = -p + 15. Let o be 1*(p - (-10)\/2). Sort o, -2, -3 in decreasing order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -11. Let f = g + -5. Suppose f = -v - 4*a + 6*a + 137, 4*v + 5*a - 600 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the third derivative of k**7\/30 - k**6\/120 + k**5\/3 - 3*k**2 - 6. What is the third derivative of o(r) wrt r?\nAnswer: 168*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8275511013914 plus 1?\nAnswer: -8275511013913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cwwpcpwcddppwwhppp. Give prob of sequence wwd.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 138 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 608 divided by 304\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that 2*i**2\/7 - 4700812*i\/7 - 79914382\/7 = 0.\nAnswer: -17, 2350423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 4.89492 and 0.18.\nAnswer: 0.8810856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 - (((15 - 13) + 4 - -19) + (2 - -3))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -34) + (-49 - (-25 - -18) - -24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k\/(k*k**9))**(16\/5) assuming k is positive.\nAnswer: k**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 6*i - 3*i - 3 + 4.\nAnswer: 3*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uiiu when four letters picked without replacement from yyuuyiyiyui?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7846665 - 588145 = 40*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4\/7)\/((-22)\/(-77)). Suppose -4*n + 22 = 2*p, 5*p - m*n - 94 = n. Let r = p - 15. What is the second smallest value in -0.4, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1287 is divided by 111?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 + 55 = 9*o. Let x(b) = 9 + 3 - 8 + 4*b - o. Let m(a) = -2*a**2. Give x(m(d)).\nAnswer: -8*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 65 + -57. What is the lowest common multiple of 2 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the first derivative of 187*n**3\/3 - 5*n**2 + 76*n - 206. Is f(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 117\/(-15) + 1 + -1 + 1486 + -1479.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2 - 228\/22 - (-86 - (-129 + 56))\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, 3\/4, 0, -1.1, 9, -2315?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 964 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s + 15*s = 2*x + 55890, -5*x = 3*s - 41950. Is s a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 316 + -2531\/8. Let m = k + 7\/8. Factor -m*o**2 - o - 1\/2.\nAnswer: -(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 408128149 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m - 1152 = -2*y - 3*m, 4*y - 2*m - 2312 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3232101122220 + -13?\nAnswer: -3232101122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-2)\/(-8)*-2). Let g be ((-1)\/(-3))\/((-1)\/6). Let n = g - w. Solve -5*f + 5 = -n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 3)*(-6*l + 12*l - 7*l)*(-18 + 7 - 21 - 1).\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 151148 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 2*w = -29, -323*w = 2*y - 325*w + 16 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.142 * 0.1.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2915 + 2750 = -5*k. Let u = 4583\/4 + k. Find the common denominator of 86\/(-16) + 4\/(-16) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (sqrt(363) + sqrt(363) + -1)**2 - sqrt(363)) + -3)*-4 - (sqrt(21) - (sqrt(84)\/sqrt(4)*-3 - sqrt(21) - sqrt(21)))\/(sqrt(28)\/(2*sqrt(4))).\nAnswer: -5784 + 208*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 168*o**3 - 24*o + 24. What are the prime factors of s(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l**3 - l**3 + 12*l**3)*(2 - 5*l - 2 - l**2).\nAnswer: -11*l**5 - 55*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 38986\/11 + -3558. Let f = d - -632\/33. Factor -f*w - 1\/3*w**2 - 64\/3.\nAnswer: -(w + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -6*m + 1. Let x be j(-2). Calculate the highest common factor of x and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, 5, -2\/11, 1.\nAnswer: -25, -2\/11, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -26 (base 13) in base 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 91700000 rounded to the nearest 1000000?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 353 and 6707.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:58 AM and 10:45 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pff when three letters picked without replacement from pppfppfpppf?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0069 + -134.4.\nAnswer: -134.3931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9007 + -9003. Let x = -0.4 + 0.1. Let y = -0.2 + 0.3. Which is the third smallest value? (a) x (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6884147*s + 7239226 wrt s?\nAnswer: -6884147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 73 + -61. Suppose -f - f + b = 0. What is the derivative of -11 - f*z + 8*z - 8*z wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 + 1)\/(3 + -1). Let x be s\/6 - (-20)\/3. Let c = x - -13. Calculate the smallest common multiple of c and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -263 - -262.598. Let f = 0.241 + s. Let l = 0.061 + f. What is the third smallest value in 1\/5, -1, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 607 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l + 6. Let j be v(3). Suppose -5*s = j*p - 62, 4*s = 2*p + s - 35. What is the remainder when 74 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 0.4. Let h be -4 - (9\/(36\/(-16)) - -1). Let l = -144 - -139. Put v, l, h in decreasing order.\nAnswer: v, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 146 divided by 341912\nAnswer: 73\/170956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 - (-1 - 2)) + 19. Let b(f) = u*f + 25*f - 70*f + 25*f. Let x(l) = -10*l**2. Calculate b(x(t)).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 5 + (sqrt(637) - 4*(sqrt(637) + 0)) + 2)**2.\nAnswer: -294*sqrt(13) + 5782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 45783, 91619, 137441, 183243, 229019, 274763, 320469, 366131?\n\"Answer: -o**3 - o**2 + 45846*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/2 - (3 - 3). Let d = -45 + 79. Find the common denominator of -47\/20 and d\/(-64)*(-1 + v).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.496373688 to four dps.\nAnswer: 0.4964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/5*2*(-65)\/(-26). Let r be (22\/t)\/((-5)\/(-15)). Suppose 6*n = r*n - 40. Calculate the lowest common multiple of n and 19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.6 * 2.166.\nAnswer: 1.2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 184293 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose c**3 + 26318*c**2 + 105260*c + 105256 = 0. What is c?\nAnswer: -26314, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 806 + -806.807. Let y = 0.24 + m. What is y rounded to 2 dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 57.2 - -239.8. Let g = -224 + j. Which is the closest to -0.1? (a) 0 (b) 1\/10 (c) 1\/7 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 47076531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-6)\/(-33) - (-1479)\/33 and 1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -757 - -512. Let w = -244.9999054 - a. What is w rounded to six decimal places?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55 and 16093780.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 24 - 17. Let t(x) = 6*x - 5874 - x - 4*x - 5870 - 5878 + 17610. Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 + 15. Let v(c) = c**2 + 15. Calculate -2*i(r) + 3*v(r).\nAnswer: r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1999191945 a multiple of 3897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 87.603 + -0.723. What is v rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of 5*k**7\/126 + k**6\/18 - k**5\/4 - 5*k**4\/36 + 5*k**3\/9 + 27*k. Find a, given that y(a) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 16*i. Let t(d) = -2*d**2 - 83790 + 83790. Give t(p(w)).\nAnswer: -512*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from ffwfwwsjwwfwssssfs.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 21*c**2 - 134*c - 7. Let t be y(7). Put -3, 0, -4, t in ascending order.\nAnswer: -4, -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 1. Let k(w) = -3*w**2 - 2*w - 2. Let x(o) be the second derivative of -4*o**4 - 11*o**3\/2 - 33*o**2\/2 + 3*o - 3. Calculate i*x(z) + 33*k(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (6\/10)\/((-5)\/(5\/(-3)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) 123 (d) 4\/3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -110 + -213?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, -24, -36, -48, -60?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 3*j + 9 = 0, -3*h + 6*h = -5*j + 43. Suppose -h = -6*u + 24. Calculate the greatest common divisor of u and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2090*x**2 - 1063*x**2 + 4685*x**2)*(1 - 4*x - 1 + (-2 + 4 - 3)*(0*x + x + x) - 4*x + 2*x + x) as b + n*x**2 + m*x + q*x**3 and give q.\nAnswer: -10724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 74 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 365*d**2 - 2*d**3 + 1 - 1.\nAnswer: -2*d**3 + 365*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (0*b - 4*b + 3*b)*(2 - 2 - 2*b) - 1990*b**2 + 2392*b**2 + 2660*b**2 as d*b**2 + h + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -775 + 1597. Let n = 822.998 - g. What is n rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5*p**2 + 3. Let v(m) = 4*m**2 - 2. Let x(q) = -2*t(q) - 3*v(q). Let z(a) = -13*a + 1141 - 1141. Give z(x(b)).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 10:08 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 93 + -92.542. Let u = -0.183 + s. Round u to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(80)*2 - (sqrt(20) + (sqrt(980) - 2*sqrt(980))))*-6)\/(-2*sqrt(1000) + sqrt(1000) - (sqrt(90)*6 - sqrt(10) - sqrt(10) - sqrt(10))))**2 + 3.\nAnswer: 363\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -130*g**3 - 237*g**2 + 166*g + 115?\nAnswer: -780*g - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -18327 divided by -123\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -1234*s = -351*s + 2649 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9313 + 9478. Solve f*l = 172*l - 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**(2\/37))\/(c**14\/c*c))\/(c\/((c**(-1\/3)\/c)\/c))**43 assuming c is positive.\nAnswer: c**(-17359\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*-3 + sqrt(117) + -5 - (0 + sqrt(117) - sqrt(117))*6)**2.\nAnswer: 60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 - 3*v**2 + 3*v**2)*(3 - 4 + 3) + (-1 - 3 + 5)*(v**2 + 0*v**2 + v**2).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2601.39 - 2601.89. Let q = 2 + -1.8. What is the biggest value in q, 1\/101, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 246850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-49)\/63)\/(12\/(-12))*3\/2\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 392928384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tmtttmmttm. What is prob of sequence tmt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 + 16*f**2 + 5. Let i be w(-16). Put i, 2, 1 in descending order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -230346 divided by 5\nAnswer: -230346\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, d: 1, r: 5, v: 4, u: 3, z: 3}. What is prob of picking 1 u, 1 r, and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1267523541 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1457332452 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00874491 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-3\/2)*a**(-1))\/((a*a**0)\/a*a**(-2\/5)) assuming a is positive.\nAnswer: a**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -387*k + 358*k - 58 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in -0.4, -0.03, 515?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 9*a**3. Suppose 9*i = 5*i + 24. Let u be ((-2)\/i)\/(8\/(-24)). Determine z(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5504 and (-8)\/10*(-3)\/24 - 1224551\/(-890)?\nAnswer: 5504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 + 3 + -35 - -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2243754 (base 8) in base 9?\nAnswer: -1126307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 3*h + 19 = 0, 5*b = h + 471 - 432. What is the lowest common multiple of 22 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of s**4\/8 - 5*s**3 - s**2 + 10*s. Let i(f) be the first derivative of b(f). What is the first derivative of i(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 9 - 1)*(0 + 3 + 0)*(2*r**3 + 3 - r**3 - 1).\nAnswer: 24*r**3 + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 4 = -q, 2*q - 6*x - 16 = -8*x. Sort -5, q, 0, -2 in increasing order.\nAnswer: -5, -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -4*b. Suppose -5*y + 5*u - 63 + 218 = 0, b = -u - 3. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -62 or -2782\/45?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = -2*c - 4, -3*c + 5 = -5*b - 0*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 20042000 (base 5) to base 2\nAnswer: 100110110100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - -2. Let t be (1 - 11\/2)*(-32)\/6. Let w be 1\/(-3)*t\/2. What is the smallest value in 0.3, w, x, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = 5*y. Suppose -44*g + 4*z - 46 = -45*g, 16 = g + z. Solve -3*i - j + 0 = -g, y = 5*i + 3*j - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134.9911ng in micrograms?\nAnswer: 0.1349911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21*-4*1\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 95240 is divided by 3068?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 10 - -3) + -32 + 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x - 4. Let p(s) = 4*s - 4. Let f(z) = 4*p(z) - 5*t(z). Let g be ((-2)\/5)\/(3\/(-15)). Let u(q) = g + q + 2 + 1. Give 4*f(c) - 3*u(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Solve 0*r + 2*r + 13 = -3*j, 3*j + 7 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1570711813 is divided by 6795.\nAnswer: 6793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 8\/36 - (-52)\/9. Let u(v) be the first derivative of 18*v + 2*v - s*v**2 - 8*v + v**3 + 1. Factor u(g).\nAnswer: 3*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 610 from -96728.\nAnswer: -97338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**2 + 2*m + 12 = 0. Calculate m.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 86311021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -3*q + 1. Let c = 27 + -16. Suppose 0 = 18*i - c*i + 21. What is j(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 7*o + 263. Let d be b(-37). Solve -9 = -d*p + 5*i, 0 = 4*p - 0*p - 4*i - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + -3 + -1*sqrt(80) - sqrt(140)\/(sqrt(14)\/sqrt(2))*-6.\nAnswer: -6 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -11*l**3 - 5*l**2 - 173*l - 10. Let n(m) = 6*m**3 + 3*m**2 + 86*m + 6. What is -5*n(a) - 3*y(a)?\nAnswer: 3*a**3 + 89*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 6, t: 1, q: 8}. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 4*g - 7*g. Suppose 0 = -2*s - 12 + 50. Let q = s - 12. Are g and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -2*v**5\/13 + 126764*v**4\/13 + 126798*v**3\/13 - 2028224*v**2\/13 - 2028256*v\/13 = 0.\nAnswer: -4, -1, 0, 4, 63383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -321, -1123, -2093, -2925, -3313?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 6*a**2 + 5*a + 1. Let x be v(5). Let i be (-1 - x)*1*-2. Let h be i*((-10)\/(-16) - 1). Put 2\/11, h, 2 in ascending order.\nAnswer: h, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 144 - 95. Suppose 0 = -3*h + 4*h + 2*g + 1, g - d = 4*h. Let o = 3 - h. What is the greatest common divisor of 112 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {e: 1, m: 2, p: 1, d: 1, n: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = k - 19. Determine z(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -117 - -107. Let l(j) = j**2 + 11*j + 11. Let r be l(x). What is the highest common divisor of 5 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -8\/433 and -83\/10?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1756487461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, -39, -87, -155?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5230.6 from 0.16943.\nAnswer: -5230.43057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -807*g - 31850 = 1468*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**2 + u + 4. Let y be c(0). Let p(b) = -24*b + y - 20*b + 15*b. Is p(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 3*q**2 - 16*q + 20. Let x be y(6). Solve -52 = -x*h + 76 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 151469853 and 2367?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8209*f**3*g*q**2 + 2*f**3*g - 116*g*q + 40*g + q**5 wrt q.\nAnswer: 16418*f**3*g + 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0 (b) 2 (c) 11 (d) 0.4 (e) -0.2 (f) -3248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + 0. Suppose -2*f + 21 = o. Let m = 556 + -466. Calculate the greatest common factor of m and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7796, -17183, -26570, -35957?\nAnswer: -45344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 143594*d - 143299*d + 6490 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 67747 - -4?\nAnswer: 67753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 1155405 (base 9) to base 3.\nAnswer: 1011212110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2140)\/(-60) - (-8)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 28, 5, -1, 2, -24 in descending order.\nAnswer: 28, 5, 2, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -6c3 + 1c?\nAnswer: -6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q = -5322 + 5322. Let h(o) be the second derivative of -4*o + 0 + q*o**2 + 5\/2*o**3. Let i(y) = -2*y. What is i(h(j))?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3421 + -3416. What is the least common multiple of p and 31?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 3*t - 13 = 0, -12 = -a - 3*t - 7. Let v(d) = 9*d + 6*d - d - a*d. Let i(o) = 7*o. Determine i(v(g)).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3705415 to the power of 1\/2, to the nearest integer?\nAnswer: 1925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - 0) + 3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - z = 1245. Calculate the common denominator of z\/(-2)*(-1)\/3 and ((-1050)\/(-6375))\/((-4)\/5)*-14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 937*r - 12673*r - 20451*r in the form t + i*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -7541.1576 rounded to the nearest integer?\nAnswer: -7541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 108242610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 8*w**2 + 7*w - 3. Let x be i(2). Let b = -42 + x. Calculate the remainder when 39 is divided by (1\/(-6))\/(b\/4)*-30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 - 11*l**2 - 3*l + 27. Let u be r(11). Let c be (u\/(-9))\/((-20)\/(-210)). Let a(y) = 7*y. Let g be a(1). Is g greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 728 divide 3904264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -620\/3 + -236\/3. Let f = a - -565\/2. Calculate the common denominator of (-3)\/((-60)\/(-107)) + 1 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 303724699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/18 - (-480)\/(-675).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-4 - (0 - 2)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -159714 and -2.\nAnswer: -159716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of -d**7\/840 - d**5\/30 - d**4\/4 + 2*d. Let l(h) be the third derivative of u(h). Differentiate l(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + -1 + (sqrt(77)\/sqrt(11))**2 + sqrt(84)\/(sqrt(12)*1).\nAnswer: 2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 0.095 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 4, f: 3}. What is prob of picking 3 v and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 287 and 3.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -198, -1252, -4122, -9720, -18958, -32748?\n\"Answer: -152*r**3 + 4*r**2 - 2*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -320002023 (base 4) to base 7\nAnswer: -1644066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -q - 1. Let z be 27\/2 - 7\/14. Let r(n) = 22 - 3 - 2*n + 8*n - z. Determine -5*g(j) - r(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -3, -17, 90 in increasing order.\nAnswer: -17, -3, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -14387 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 168 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 923 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 - 15*i**2 + 637*i + 9107. What is p(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1.55059*0.2\nAnswer: 0.310118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1926)\/10272*(-56)\/105.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*z - 8327*z**2 - z**3 - 3 + 7*z + 0*z**3.\nAnswer: -z**3 - 8327*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 212945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3121 - 3121.2. Sort -0.4, -0.3, 337, z, 3.\nAnswer: -0.4, -0.3, z, 3, 337","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (11 + -12)\/(-2 - 12\/(-3)). Suppose -29 = 5*l + 11. Let f = -11 - l. Which is the nearest to -0.1? (a) u (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2\/23 - -19\/46. Let d be 36\/(-1053)*36\/(-8). What is the nearest to d in 4, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38 + -30. Suppose -j*x + 2*x + 126 = 0. Suppose 85 = a + x. What is the highest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 207739871, 207739869, 207739867, 207739865?\n\"Answer: -2*k + 207739873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b + 13. Let n(z) = 2149. Let o(l) = 258. Let v(c) = 6*n(c) - 50*o(c). Determine -4*f(j) - 9*v(j).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2*n)*(64*n + 1320*n**2 + 60*n - 1316*n**2).\nAnswer: 8*n**3 + 248*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s, 1 x, and 1 b when four letters picked without replacement from bisxsbbbisx?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/10945895 and 34\/28459327.\nAnswer: 142296635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 111900 and 5700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -4*i + 3. Let z = -59 - -56. Let f be a(z). Calculate the greatest common divisor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(99))*1 + (-5*-1*sqrt(99))**2.\nAnswer: 3*sqrt(11) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 202082359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -16924\/9 greater than -1881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t**2 + 6. Let z = 13 + 0. Let u(w) = -2*w + 1. Let g be u(-6). Let a(o) = 2*o + 4*o**2 - 2*o + g. Determine z*j(i) - 6*a(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-12512)\/(-1104) - 4\/(-6). Suppose 0 = 3*l - 0*l. Suppose 5*s = -y + 2 - 0, l = 3*s + y - 2. Solve s*a = 4*a + x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 11) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 4*b**2 - 13*b + 27. Let d(m) = 4*m**2 - 9*m + 12. Let s(l) = l**2 - l - 1. Let r(p) = -d(p) + 2*s(p). What is -11*r(n) - 6*u(n)?\nAnswer: -2*n**2 + n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of 9*h**4\/4 + 5*h**2\/2 + 5*h - 6. Let g(t) = -13*t**3 - 7*t - 7. Calculate -5*g(o) - 7*i(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1482.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1435.8999925308 + 1435.9. What is j rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -83082*n - 913927. Give x(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -2, 2, 2\/79, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (66 - 68)*(-1)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 24.137 rounded to 1 decimal place?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 258.8296 millimeters to meters.\nAnswer: 0.2588296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/2 + 0 + -3*1. Let f(y) = -5*y + 19. Let g be f(a). Let x = -36 + g. Solve -4*p + x = m, 39 = 5*p + 4*m + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27348211 is divided by 9116019.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 703.0274 - 0.0274. Let j = v + -704. Which is the nearest to j? (a) 8 (b) -2 (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6174971*b**2*d**2 - 2*b**2*d - b**2 + 205*b*d + b + 170*d - 8 wrt d.\nAnswer: 12349942*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7810 or -7907?\nAnswer: -7907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**2 + 14*i - 3. Is 12 a factor of o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5059037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -19 + 19 - (-1 - (2 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -51 + 71. Calculate the remainder when 79 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3619 + -2278. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -142446 (base 8) to base 13\nAnswer: -19c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the second derivative of p**3\/3 + p**2\/2 - p. Suppose 0*t - 20 = -5*t. Let n(z) = -4*z - 2. Let g be 27\/3*(-1 - -2). What is g*w(d) + t*n(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*p - 38 + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) be the third derivative of 0*o + 0 + 2\/3*o**3 - 1\/6*o**4 + o**2. Differentiate y(z) with respect to z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 * -3597656\nAnswer: 17988280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d - 5. Let r be j(-7). Suppose r*g + 126 = 5*a, 4 = -g + 1. What is the greatest common divisor of a and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 355\/123 or 3?\nAnswer: 355\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-7)*-5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148334 is divided by 439?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 PM and 7:39 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1019729?\nAnswer: 1019729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x be 512\/28 - (-204)\/(-714). Solve -92*u + x*u = -148 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 1\/3, -0.03, 1\/39, -4\/5 in descending order.\nAnswer: 1\/3, 0.1, 1\/39, -0.03, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9700, -9514, -9020, -8068, -6508, -4190?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u**3 + 6*u**2 + u + 8. Let g be f(-6). Let s = 32\/3 + -11. What is the second smallest value in g, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 0, -q + 740 = q + 5*j. Let g = q - 215. List the prime factors of ((-36)\/(-45))\/(2 - 308\/g).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -64.6714 - 460.\nAnswer: -524.6714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7138*i**3 + 3*i**2 + 12266*i + 6 wrt i?\nAnswer: -42828*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 348 + 4848 = 95*k - 4643 - 326 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 7*i = 2*i - 177, 0 = -r - 3*i + 72. Let j = -78 + r. What is the highest common factor of 24 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 106 divide 725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 15*q - 144 = -765, -3*i + 621 = 3*q. Solve 0 = -5*d + 5*r + 5, 5*d - 11 = i*r - 208*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -439 * -5\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/128*-8*(144\/2 + 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**3 - 9*s**2 + s + 7. Let l be x(9). Suppose 2*d = -6*n + 4*n, -l = 5*d - 3*n. Let w be ((-13)\/d)\/((-2)\/(-4)). Solve -5*f - w = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y**2 + 6*y + 4. Let w be s(6). Let n(r) = r**2 - 3*r - 2. Determine n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2226*y**2 - 9956.\nAnswer: 4452*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 - -2 - (3 + -3). Let y(c) = -c**3 - 12*c**2 + 7*c - 3. Let j be y(-13). What is the tens digit of (j\/(-2) + v)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15109*v - 33 = 15112*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 654392.1cm to millimeters.\nAnswer: 6543921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -10111212221 (base 3) to base 6.\nAnswer: -1252124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = v**3 - 11*v**2 + 3*v - 16. Let w be j(11). What is the third derivative of -1076*n**4 + 1076*n**4 + w*n**6 + 3*n**2 wrt n?\nAnswer: 2040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 295 (b) -3 (c) 3\/4 (d) 4\/13 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rozzzrozrrrrzzzror. What is prob of sequence or?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 2*t + 31. Let n(s) = s**2 - 2*s + 1. Give n(d) + q(d).\nAnswer: d**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 173473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 0.1704281 millimeters?\nAnswer: 170428.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 8868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 468 and 91845.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-200)\/(-210) + -10*8\/(-240)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12 - -12. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 14 + 16 + 3*q - 7 + 9 as o + x*q and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be (4 + -2 + 1)\/((-2)\/28). Let v = -151 - t. Let x = v + 2073\/19. Which is the fourth biggest value? (a) x (b) -1\/5 (c) 1\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22.39 rounded to one decimal place?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three halves of a micrometer in nanometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**3 - 15*s**2 - 26*s + 13. Let n be q(-9). Calculate the highest common divisor of n and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -5*l**2 - 83*l + 7. Calculate z(4).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7797306 to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.372 - -0.118. Let r = -1.39 + w. Which is the second smallest value? (a) 4\/7 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 43013894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00015024688 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2457\/14)\/117*(-10)\/(-27)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 13929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1 - 1 - -2) + 71 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/11132503 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 181478 and 8833?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -118147*p = -118053*p - 2538 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 123 and 12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**2 + 11*n + 11. Suppose -5*l - 31 = 4*r - 6, 0 = -5*r + 5*l - 65. Let j be v(r). Calculate the smallest common multiple of 10 and 44\/(-10)*(j - 6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1351 and -47?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:55 PM and 8:20 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes before 10:49 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the first derivative of 13*p**7\/14 + 259*p**4\/12 - 91*p - 192. Let f(u) be the first derivative of b(u). What is the third derivative of f(k) wrt k?\nAnswer: 2340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 0 - 1 = 0. Let j be (-1)\/2*(-9 + n). Solve -4*c - 2*a = -j*c - 7, -a + 20 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -12 + 7 + (20 - (-2 + 2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/(-18)*28414*(1 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 87 - 74.3. Let w = -0.7 + d. Let n = -11.9982 + w. What is n rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 243445120 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 717 = 3*v, 2*v - 481 = -0*v - 5*k. Suppose o - 345 = -2*h - h, -2*o = -2*h + v. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ttuuuuptttpttptuutpt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -201*k**2 - k - 46 wrt k?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 390461*g**5 + 42591*g**2 + 8*g?\nAnswer: 23427660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/((-70)\/(-15)*-1*(-1)\/(-2))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**3\/13 - 344*l**2\/13 + 14442*l\/13 + 30276\/13.\nAnswer: 2*(l - 87)**2*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j - 3 + 3 + 6 - 6.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*-1*(-6)\/6*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -2.921 to two decimal places.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 20220120 (base 3) to base 15\nAnswer: 175c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(260)\/sqrt(5))\/(sqrt(484)*2 - sqrt(484)) + 5 + 1 + sqrt(13) + 2 + -5)**2.\nAnswer: 72*sqrt(13)\/11 + 2961\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 67314707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 331336 and 18?\nAnswer: 2982024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**3 - 63*i**2 - 472*i - 6757. What is l(71)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y**(-2)*y))**45\/(y*y**0\/y)**(-1\/24) assuming y is positive.\nAnswer: y**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11114*w + 5676 wrt w.\nAnswer: 11114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m - 601 - m**2 - 1483 - 2*m**2.\nAnswer: -3*m**2 - 2*m - 2084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 + -6. Let m = -2\/175 + -521\/350. What is the nearest to -1 in m, c, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*h = 1, 4*n + 3*h = -2*h + 13. Suppose -5*z + n*l + 11 + 9 = 0, 4*z + 2*l = -2. Let x be z\/(-12)*(0 + 1). Are -1 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8119, -16221, -24309, -32371, -40395, -48369, -56281, -64119?\nAnswer: -71871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -12*s**3 + 0*s**4 + 12*s**3 - 4131 + 24*s**4 - 39*s + 41*s wrt s?\nAnswer: 96*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1207151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6\/2)\/1 - 1. Let i = 288 - 284. Suppose -i*p + 2 = -q*p, 4*y = 4*p + 4. Solve 5*t = g + y*g - 8, 4*g - t = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*u - 6*u + 11*u - 5)*(u**2 + 4*u**2 + 9*u - u**2) as r + o*u**3 + j*u + k*u**2 and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 4*c + 7 + 3 = 0, -5*c = -5*x + 50. What is the closest to x in -3, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2360557106 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - (-14 + 6) - 2) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/408)\/1*165\/935*340\/(-60)?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of n**4\/6 + n**3\/3 + n**2. Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - n - 2*n + 5)*(-2*n + 4*n + 3*n).\nAnswer: -15*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 160859141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o + 4. Let x be y(4). List the prime factors of 1*x\/(-14) - 1700\/(-28).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 18750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s + 14. Let b(o) = -o**3 - 9*o**2 - 8*o - 6. Let j be b(-8). Calculate the remainder when 30 is divided by f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of -5279.5151 and -0.3.\nAnswer: 1583.85453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/9*21\/70*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 AM and 4:24 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2453851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8999417m in micrometers?\nAnswer: 899941.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -617\/8 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49901944.\nAnswer: 2, 89, 109, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 11*c + 9*c - 641 = 0, 3*c + 644 = 5*n. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and -0.84.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 3*d**2 - 19 + 62 + 6*d - 29. Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7734311.\nAnswer: 13, 19, 173, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:43 PM and 5:22 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*n + 3*c - 100 - 26, 130 = 3*n + 4*c. Suppose n = p + 4*v, -p + 20 - 2 = -v. Solve 4*t + p = -3*a + 5*a, -3*a + 13 = -2*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 311*c**2 - 1373*c - 1052*c + 2425*c.\nAnswer: 311*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 + 10. Let v be (-29)\/(-22) + (-6)\/4. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 + (11 + -7 - -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of 2*z**5\/15 - 9*z**4 + 216*z**3 - 1944*z**2 + 123. Factor q(m).\nAnswer: 2*m*(m - 18)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11001000 (base 2) in base 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 1089*p - 13468050 + 3595*p - 2*p**2 + 1649*p + 4047*p.\nAnswer: -2*(p - 2595)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 85, 0, -3, -18\/11 in increasing order.\nAnswer: -3, -18\/11, 0, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*p - 5 = -11*p + 25*p. Solve 18*y - 25 = 16*y - 5*i, -25 = -5*y - p*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 1736683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 0. Suppose 0 = 5*v - 2*j - 13, -3*v + 2*j = -0*j - 11. Which is the closest to v? (a) -1\/11 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 - -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 2*o + 9. Let c(z) = 4*z. What is n(c(r))?\nAnswer: 8*r + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 25543555 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 5:34 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 - 9*d**2 - 10*d - 12. Let h be w(-8). What is the first derivative of -2*q**4 - 2*q + h - q**4 + 2*q wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 1. Let j(r) = r - 3. Let h(d) = -j(d) - 6*x(d). Let n be h(-7). Which is the second smallest value? (a) -3 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 20*c**3 + 6*c. Let i(g) = -119*g**3 - 35*g. Let u = -2622 + 2616. Give u*i(q) - 35*r(q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 190 divided by 2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 67 a factor of 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*f + 4114 = 0, -5*l = -8*l + 2*f + 2457. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (13984\/(-1824))\/(5\/(5*6))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 AM and 5:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m**4\/13 + 4792*m**3\/13 - 9606*m**2\/13 + 6008*m\/13 - 1202\/13 = 0. Calculate m.\nAnswer: -601, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -313 * 0.3\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**2 + 9*i + 5. Let k(t) = t**2 + 8*t + 5. Let x(f) = 3*k(f) - 2*o(f). What is the remainder when 23 is divided by x(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 843741 (c) -1 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1259056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3140 - -10?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 370 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -42 - -79. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 12, 82, 274, 648, 1264, 2182?\n\"Answer: 10*r**3 + r**2 - 3*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1422020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13*i**4 - 70990*i**3 + 30*i**2 - 144665233*i - 1.\nAnswer: -156*i**2 - 425940*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 210349505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 156 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-117 + 46 + 153)*(-4*a**2 + 4*a**2 - a**2).\nAnswer: -82*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 305540.7 days?\nAnswer: 439978608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 + f**2 - 2*f + 2. Let g be c(-2). What is the greatest common factor of 22 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + a - 4410, -5*a - 406 + 6264 = 4*k. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -g**4 + 2*g**4 + g**4 + (0*g**2 + 2*g**4 + 0*g**2)*(-1 + 1 - 2) - g**2 + g**4 + g**2 + 5*g**4 - 2*g**4 - g**4 - 9*g**4 - 33 + 33.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 165882 is divided by 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 14835*g**3 + 14*g**2 - 79*g - 13. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.225 - -15.125. Let l = q + -14.9000063. What is l rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 - 6*b**2 - 17*b + 7. Let v be u(8). Let q be (v + (-87)\/(-90))\/((-21)\/12). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u. Let k(y) be the third derivative of 22*y**2 + 0*y**3 + 0 + 0*y + 1\/3*y**4. Determine k(x(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 3*x + 15. Let u(y) = y + 4. Let t(j) = -4*g(j) + 15*u(j). Suppose -1 = -2*p + 3. Let f(q) = -p*q + 0*q - 4 + 4. Calculate t(f(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 12 = -6. Is (-1986)\/k*-26*(-3)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) be the third derivative of -j**7\/840 + j**6\/240 - j**5\/40 - 11*j**4\/24 - 2*j**2. Let g(n) be the second derivative of r(n). Calculate g(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 - 12\/15) + (-319)\/(-55). Let o be 1*f + 11985\/47. Which is bigger: o or 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -5*x - 5*x + 4 - 3*x**3 + 3 + 0*x**3. Let r(u) = u**3 + 3*u - 2. What is -4*m(d) - 14*r(d)?\nAnswer: -2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -2*b**2 - 53*b + 150. Let i be g(-29). Solve 0 = -5*j + d, -i*j + 5 + 10 = 2*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5647771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2\/5 - 392*c\/5 - 7704\/5.\nAnswer: 2*(c - 214)*(c + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1.5, 1\/6, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011101101110001 (base 2) to base 5.\nAnswer: 3013420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the second derivative of i**4\/2 - i**3\/3 + 2*i**2 - 24*i. What is the units digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u**2 - 12*u**2 + 35 + 25 - u**2 + 11*u**2.\nAnswer: -5*u**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 - (-3 - 1 - -3) - 2. Let a be (7 + k)\/(5*(-12)\/(-30)). Solve -4*c = 3*w - 16, -3*c + 7*w = a*w - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the third derivative of -z**7\/840 + z**6\/90 + z**4\/8 + 5*z**3\/6 + 2*z**2. Let y(n) be the first derivative of j(n). Give y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/(-4)*0 - -4. Suppose -a*b + 6 = -22. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2326 + -19320?\nAnswer: -1b646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -6*l - 35*l**2 + 3*l + l + 5 + 318*l**3 + 16*l**2 + 13*l**2. Is u(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 142131683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 2:39 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 830962041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -762557, 4, -1 in descending order.\nAnswer: 4, -1, -762557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -4*p**3 - 45*p**2 - 18*p - 22. Is c(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5820 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 16*h**2 + 46*h + 13. Let s be i(-15). Suppose -7533 = -5*a - s. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -105*j**2*s**3 - j**2*s**2 + 19*s**3 - 5 wrt j?\nAnswer: -210*j*s**3 - 2*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*i + 569 = -1216. Let p be -1 + (8 + 1 - 3) + i. Calculate the highest common divisor of 104 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2351463, 2351617, 2351873, 2352231, 2352691, 2353253, 2353917?\n\"Answer: 51*c**2 + c + 2351411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1117382001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 114 divide 3864144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 127233 is divided by 3575.\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 100*t**2 + 326*t**2 + 239*t**2 + 173*t**2 in the form v*t**2 + d*t + o and give v.\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - 97.\nAnswer: -97.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 308727*c**3 - 1161631 wrt c?\nAnswer: 926181*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9460 and 14850?\nAnswer: 1277100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 494 divided by 19\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 2\/13, 33651, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*u**2 + 0*u**2 + 38 - 33 - 5.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -437\/46228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 16025 * -0.79.\nAnswer: -12659.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 31.96419l to millilitres.\nAnswer: 31964.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/54 and (-8)\/(-6) + (-69)\/(-45)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 l, and 2 n when four letters picked without replacement from ganlgjaggggnegane?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 - 5. Suppose o*t - 29 = 11. Calculate the lowest common multiple of t and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 - 6*a - 1. What is q(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -21693 - -21668. Let o = 3 - 2.6. Which is the third biggest value? (a) 1\/3 (b) o (c) 0.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by 4264.\nAnswer: -9\/4264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 1 = 7*l. Calculate the highest common divisor of 7 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the second derivative of -k**4\/16 + k**3\/6 - k**2\/8 + 10*k. Solve y(f) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32 + -22. Suppose 14 - h = 2*j. Factor 162\/5*v**j + 8\/5 - 72\/5*v.\nAnswer: 2*(9*v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 12\/5 (b) 805 (c) -71 (d) 0 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-3) + (-224)\/(-21). What is the second derivative of 23*m - 7*m - 10*m + 8*m**4 - t*m wrt m?\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4935363 + -4935398.000211. Let c = -42.4 + 7.4. Let g = n - c. What is g rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -2435, 2\/3, 5, -4, -1, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80 divided by 6397.\nAnswer: 80\/6397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 4b (base 13) to base 6\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-111 + 111 + 22*t**2 - 4*t**2 + t**2 + 0*t**2 + (4*t - 2*t + 0*t)*(-5*t + 2*t + t) + 3*t**2 - 2*t**2 + 0*t**2)*(-8*t - 2*t - t)*(3 - 2*t - 3).\nAnswer: 352*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**3 + 3*q**2 + q + 1. Suppose z = 5*z + 12. Give u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2854 + 3074. What is the highest common divisor of 60 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a = -6*m + 30, -5*m - a - 290 = -2*a - 323 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is 201360753 to the power of 1\/2, to the nearest integer?\nAnswer: 14190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 23 - 104141?\nAnswer: -104114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1354 a factor of 28103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.7 (b) -2 (c) 4502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of -1\/112*q**8 + 0 + 0*q**6 + 0*q**7 + 0*q + 0*q**3 - 1\/30*q**5 + 0*q**4 + 2*q**2. What is the third derivative of w(f) wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -6*i + 2*i. Let u(f) = -f**3 - 3*f**2 + 2*f - 3. Let k be u(-4). What is the nearest to -2 in i, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 371733172 and 14748?\nAnswer: 4916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(176) + -1 + 1*sqrt(176) + ((4*(sqrt(110)*-1 - sqrt(110)))\/((sqrt(10) - sqrt(160))*3))**2.\nAnswer: 866\/81 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11819\/2 - 5906. Let d(s) be the first derivative of -5*s - y*s**2 - 1\/3*s**3 + 1. Determine d(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the first derivative of -m**3 + 21*m**2\/4 - 9*m\/2 - 9. Factor z(g).\nAnswer: -3*(g - 3)*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168.265 rounded to zero dps?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (s**2 - 4*s**2 + 2*s**2)*(2*s + 0 + 0) - 4*s + 4*s + 6*s**3 + 7*s**3 - 2*s**2 - 10 - 1 - 5*s**3 as b*s**3 + g + r*s + i*s**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + k + 2 = -0*j, -24 = -4*j - 4*k. Suppose -3*n + 2*g = 5*g - 3000, 2*g = j*n - 4030. List the prime factors of n.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.2 - -3.8. Let t = -1.9 - -3.7. Let g = t - 1.3. Put u, g, 1 in decreasing order.\nAnswer: u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 23*s**2. Let z(p) = 103*p**2 + 89*p**2 - 174*p**2. Determine y(z(f)).\nAnswer: 7452*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + 5*w + 19, 3*t + 11 = -4*w - 18. Let y be 15\/10*(-4)\/t. Solve y*q + 13 = 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -27*q + 6*q + 6*q + 6*q**2 - 5*q**2 + 120. Does 57 divide j(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 9:13 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 - 72*r - 565. What is p(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the first derivative of 76\/3*s**3 - s + 13 + 0*s**2. Is 25 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 293163369 to the power of 1\/2, to the nearest integer?\nAnswer: 17122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -207885299, -207885300, -207885301, -207885302, -207885303, -207885304?\nAnswer: -207885305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 125 - 125 - 15*i**4 + (5*i**3 + 2*i**3 + 2*i**3)*(-8*i - i - 2*i) - 3*i**4 + i**4 + 3*i**4 to the form f*i + w*i**2 + k + s*i**4 + b*i**3 and give s.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 404 - 402. Let j be (-3)\/(-12) - (-31)\/4. Let y be (-34)\/(-8) - h\/j. What is the greatest common factor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + 6*j**2 - 3*j + 4. Let f be u(5). Suppose 5*w = -6 - f. Let c = 7 + w. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 352*c*j*o*x - 2*c*j*o + 27*c*j*x - 52*c*x - 3*o - 41*x wrt j.\nAnswer: 352*c*o*x - 2*c*o + 27*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-7) + 2\/(-14). Suppose -2*h + 0*h + 46 = l. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11647801, 23295599, 34943397, 46591195, 58238993, 69886791?\nAnswer: 81534589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8755 and 3726060?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -36687 + 513109\/14. Let z = 174\/7 + b. Which is smaller: -12 or z?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 819531*a**2 - 7*a + 139. Let w be b(27). Suppose -38*n = 756881951 + w. What is n rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1674 divided by 1.\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-36*t - 371*t - 10*t)*(-2*t**2 - 2*t**2 + 3*t**2).\nAnswer: 417*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 14 + (-1 - (-28)\/(-7)). Suppose 5*u = 4*x - 4850, -2432 = -2*x + 8*u - v*u. Does 81 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(63)\/sqrt(7))\/sqrt(3) + 1 - (-5 + (sqrt(147)*3 + sqrt(147) - sqrt(147)))) + 4)**2.\nAnswer: -400*sqrt(3) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 6.5 (b) 0.4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 3. Let c(u) = -u - 1. Let y be 4 + (7 + -3 - 11). Let z(q) = y*c(q) - b(q). What is z(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19.23360845 rounded to one dp?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 18, 170, 442, 834, 1346, 1978?\nAnswer: 2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 101110110001010010001000 (base 2) to base 16\nAnswer: bb1488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 - 11*s**2 + 18*s + 2. Let c be z(9). Suppose -5*t + 6 = -4*t + 3*m, -m + c = -3*t. What is the tens digit of (-7)\/((1 - t)\/(-9 + -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 941 or 7053?\nAnswer: 7053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 446 is divided by (-2)\/(-1*(252\/(-24) + 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 295*m**2 + 63*m - 32*m - 31*m.\nAnswer: 295*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -122 by -6.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18806418 divided by -3134403.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 513 and 5058.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of -115*j**2\/2 + 245*j - 377. What is the derivative of c(l) wrt l?\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 309, 1221, 2737, 4857, 7581, 10909?\nAnswer: 14841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 AM and 10:11 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + (-4 + sqrt(847))**2 - -3*2*sqrt(7).\nAnswer: -81*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + x**3 + 2)*(-6416 + 320*x + 6416)*(23 - 9 + 2).\nAnswer: 5120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -12 (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24174536.\nAnswer: 2, 19, 89, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*r**3 + 19*r**3 - 48*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 15\/119 and 61\/242.\nAnswer: 28798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 277224.\nAnswer: 2, 3, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.5 + 18.9. Let a = 19.8 - n. Let r = 3.1 + -3. Put 2\/13, r, a in decreasing order.\nAnswer: a, 2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18 + 24. Suppose -114*i + 117*i = j. Solve -p - 4*d = 3 - i, 3*d + 15 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oowwowowoowowwoo. Give prob of picking 3 o.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**3 + 3*r**2 + 7*r - 5. What is o(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1627, 1721, 1815?\n\"Answer: 94*t + 1533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 4085 * 515.4\nAnswer: 2105409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -6*x**3 - x**2 - 2*x - 1. Let t be (-2 - -1)*-1 - 2. What is the remainder when (11\/2)\/(2\/4) is divided by y(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 7 + -2*(-12)\/(-8). Suppose 4*j + w*d - 724 = 0, j - 77 = 2*d + 92. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 + 0 + 85 - (-5)\/(-30)*-6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1048 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and -6966.\nAnswer: 2089.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence shr when three letters picked without replacement from hochtsr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -389\/2 (b) -60 (c) -0.03 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 82 + 78. Let u = 131 - b. Let w(x) = -x - 14. Let t be w(-15). Is t at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 132*c**3 - 6*c**2 - 4*c + 1. Let i(v) = 796*v**3 - 37*v**2 - 25*v + 5. Determine 6*i(w) - 37*t(w).\nAnswer: -108*w**3 - 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10146658 is divided by 5752?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(1\/14)*v)\/v)\/v)\/((v*v**(-2\/3)\/v*v*v)\/v)*(v\/((v**(-28)*v)\/v*v))**(-45) assuming v is positive.\nAnswer: v**(-52973\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/6)\/(1\/(-2))*2. Factor 48 + 9*i**5 + 62*i**2 - 96*i**v + 177*i**3 - 78*i - 29*i**2 - 93*i**4.\nAnswer: 3*(i - 8)*(i - 1)**3*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 329 = 4*q, -6*q + 3*q - 5*t - 264 = 0. What is the units digit of (7 - q)\/(1*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1 + -710?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, w: 5}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*y + 229 - 461 + 815 = -692 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -494944 (base 16) in base 2?\nAnswer: -10010010100100101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply -61 and -0.3.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bmsztsmbbrsrrts. What is prob of picking 1 z, 1 t, and 1 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -44 (b) 4 (c) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -65644625*y**3 - 183812004.\nAnswer: -196933875*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -71, -121, -153, -167, -163, -141, -101?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 112903285 to the power of 1\/2, to the nearest integer?\nAnswer: 10626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-3)*0 + (-435)\/(-2). Let p = u + -213. Suppose 3*h**4 - 3\/4*h + 3*h**3 + 3\/2 - p*h**2 - 9\/4*h**5 = 0. What is h?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**2 + 6*u - 45. Let f(g) = g**2 + 9*g - 45. What is 5*f(t) - 6*h(t)?\nAnswer: -t**2 + 9*t + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 50a7 (base 16) in base 13?\nAnswer: 9523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide (-1)\/(-1)*(-9 + 61)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 26 - 35 + 13*i**2 + 17 + i**5 - i wrt i?\nAnswer: 20*i**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 3)*(4*t - t - t)*(-44 - 29 - 149).\nAnswer: -444*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (7 - 6)*(-68)\/119. What is the second smallest value in 3, k, -5, -84?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/138621 and 173\/42.\nAnswer: 277242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.700985102 rounded to 5 decimal places?\nAnswer: -0.70099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 112\/480*180\/315.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5453 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -60 - -7. Suppose 3*u = -0*u - 87. Let y = u - l. What is the highest common divisor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1840 - 909 - 348 - 195)*(0 + 4 - 2)*(5*a**2 + a**2 + 1 - 4*a**2).\nAnswer: -13168*a**2 - 6584","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -3510 divided by 3?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -151 + -35?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 31 - 10111?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be 20\/24*1*-3. Does i = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -5 (b) -1 (c) 0.1 (d) 3 (e) -12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -1387 + 1387 - 27*s**3 + 0 + 0 + 2*s**3 + (3 - 3 + 2*s)*(0*s**2 - 3*s**2 + 5*s**2).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/102 and 19\/66?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1537\/438 + 2\/219. Let u = 4045 - 4047. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*d + 43 - 51 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s + 8 = 13*s - t, 0 = -5*s + 6*t + 20. Solve i - 21 = s*z + 2*i, i = -2*z - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(700) - ((sqrt(700) - (0 + sqrt(700))) + 3))**2 + -5.\nAnswer: -60*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 2*b**2 - 15*b - 6. Let y be l(5). Which is greater: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4047944670 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3625 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.666987 to 2 decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 3 - (-14 + 15)) + -6 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -49041*i + 10445731. What is s(213)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 4 = -4. Let t(b) = -b**3 + b**2 + b. Let s(v) = -2*v**2 - 2*v + 3. Let u(p) = m*t(p) + s(p). What is the first derivative of u(a) wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-9)\/(-6)*(-30)\/(-9). Let l(g) = -3*g - 2*g**2 + 3*g**2 - 15 + 13. Determine l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 63012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1 - 19 - (1 + -13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3598, -13573, -30142, -53299, -83038, -119353, -162238, -211687?\nAnswer: -267694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -5*m**3 - m**2 + 11*m - 7. Let q(h) = 4*h**3 - 10*h + 6. Let c(o) = 3*l(o) + 4*q(o). Is c(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -676.650121 rounded to zero dps?\nAnswer: -677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/70, 18415, -2\/7 in decreasing order.\nAnswer: 18415, -1\/70, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 8307*u + 215994. Determine k(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 0*n + 12 = 0. Let x be (2\/4)\/((-1)\/2). Sort 2, n, x.\nAnswer: n, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -325893 and 0.03.\nAnswer: -325892.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence szz when three letters picked without replacement from {p: 1, z: 4, s: 2, b: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 7, -198, 5.\nAnswer: -198, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -4695 and -248 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 - 3*b**2 + 6*b. Let j = 108 + -105. What is the units digit of m(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -19*n + 155. Let i be v(8). Suppose 3*r - 6 - 9 = 0. Suppose 0 = 5*w - 6*w + r. Solve 4*t - w*j + 4 = 9, 0 = i*t - 4*j - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 116 divide 8343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 + -23\/2. What is the smallest value in 0, m, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 412573438?\nAnswer: 2, 313, 659063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1253 - -1923. List the prime factors of g.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaiaaaaabaaaaiai. Give prob of sequence biai.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 30*a**3*x**5 - 2*a**3*x + a**2*x + 9*a*x**5 + 4*a*x wrt x?\nAnswer: 600*a**3*x**3 + 180*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3 - 73*j**2.\nAnswer: -j**2*(j + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -16067 divided by -393\nAnswer: 16067\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 30 = 18. Suppose 5*i = g*i - 12. Calculate the remainder when 19 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + -2. Let v be (-2 + -1)\/(i\/(-5)). Put -1, 0, v in descending order.\nAnswer: v, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 827962 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 157*a - 130. Let w be j(1). What is the highest common factor of 4113 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 4*n - 2. Let b = 7 + n. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 + 14*b + 3. Let t be c(13). Let a = 81 + t. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104438364?\nAnswer: 2, 3, 19, 458063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 2*z**2 - 3*z - 30. Is 22 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/(-2)*(-224)\/(-35). Let g be ((-6)\/(-5))\/(4\/10). Suppose z = -2*h + g*h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of -c**4\/3 + c**3\/3 + c**2 - 12*c. Let l be s(-2). Let y be 8*-3*3\/l. Solve y*h - 4*p + 8 = 0, -2*h + 3*p = 3 + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 485*x**2 - 10671*x - 58836445?\nAnswer: 970*x - 10671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 212 + 2078*l**2 + 194 - 403.\nAnswer: 2078*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*g*z**4 + 1959505*g*z**2 + 10*g*z + 3299134*g wrt z?\nAnswer: 72*g*z**2 + 3919010*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-391)\/(-102))\/((-70)\/(-420)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least 12\/3875485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**3 - 6*o**2 + 7*o - 6. Let p be h(5). Suppose -p*i + 5 = -3. Solve i*m - m = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41 + 40.94. Let r = 0.0822 + -5.0822. Which is the nearest to f? (a) 1\/3 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*z**2 + 3*z**3 - 6*z**2 - 10*z**2 + 19.\nAnswer: 3*z**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**10\/(y*y**(-13)*y)*(y\/y**(1\/10))**(1\/41) assuming y is positive.\nAnswer: y**(8619\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -121120100020 (base 3) to base 8\nAnswer: -1174740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z = 408065 + 137165. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the first derivative of 0*j + 0*j**2 + 1\/3*j**3 + 1. Let g(w) = -3*w**2 - 2*w**2 + 3*w**2. Calculate d(g(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -10001110121 (base 3) to base 15.\nAnswer: -12c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 626*i**3 - 8*i**2. Suppose -4*u = -1 - 31. Let t be v(u). Let p be ((-75)\/(-6))\/((-1)\/t). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -49*s - 1162 + 1211 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s. Let w = -49 + 31. Let c = w + 20. Let g(u) = 19*u + 3. Let m(f) = c*g(f) + 22*v(f). Differentiate m(a) wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 40 = 4*z, -40 - 10 = 5*z - a. Let r = 40 + z. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, 40384\/33, 10, 1\/5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1574 is divided by 411?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 15) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -304.3 + 276. Let h = l - -28.1. Let s = 0.1 - 0.1. Put h, s, -2 in descending order.\nAnswer: s, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*x = -18*x - 33 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the third derivative of -1\/24*t**4 + 0*t - 4\/3*t**3 + 192*t**2 + 0. What is y(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (404\/(-606))\/(((-2)\/168)\/((-6)\/8))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes before 11:51 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-6 + 4)\/(3\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7501.773 centimeters to nanometers.\nAnswer: 75017730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000166203 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 23*f - 3. What is z(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1.312 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -c (base 13) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 + 2*n**3 - 4*n**2 + 66*n - 74*n + 6*n**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16001?\nAnswer: 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 250884 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26 - -28.12. Let n = -0.12 + a. What is the smallest value in n, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 + 42*n + 15. Let r(d) = -20*d - 8. Let p(y) = -2*o(y) - 5*r(y). What is the smallest common multiple of p(7) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.4 - 1. Suppose p + 5*x + 22 = 0, 2*p = -0*p - 4*x - 14. Sort p, c, -5, 4 in decreasing order.\nAnswer: 4, p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 + -2. Let m(c) = -c**3 + c**2 - 5*c - 18. Let q be m(-3). Suppose -q*k + 36*k = 147. Calculate the highest common divisor of k and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l**4 + 3*l**2 - 3*l**2)*(l + 0*l + l)*(-15 + 9 - 9).\nAnswer: -90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.2, -0.28, -14, -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -97*a**3*h**4*t - 2*a**3*h - a**3*t - 2*a**2*h*t + 2*a*h**5 - 15*a*h*t wrt h?\nAnswer: -1164*a**3*h**2*t + 40*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 4*s - 189, 133 + 14 = 3*s - 4*o. Suppose 0 = -4*h + 2*f + f + 129, -4*f = 12. What is the least common multiple of h and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 655 + 12*t**2 - 655.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 3*d - 16 = 0, 0*f - 18 = -f + 4*d. Let h be (5 - f)*6\/(-5). Solve -t = 2*q + 9, 4*t + h + 20 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-12)\/(-48) - (-3087999)\/4. Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 5*z - 5177 = 0, -3*p - z + 3452 = -11999. Suppose -t + 6850 = -p. Suppose v = -4*h - v - t, -4*v + 11996 = -4*h. Round h to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1714, -1700, -1678, -1648, -1610, -1564?\nAnswer: -1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - 2379*h = -2381*h + 230, 0 = -5*o - 3*h + 287 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is sixty-seven fifths of a century in months?\nAnswer: 16080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-32)\/1792*24 + 8\/14\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (66\/5 - 13)*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that g**3 - 4855*g**2 - 459484*g - 3364640 = 0.\nAnswer: -85, -8, 4948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add 32 and -16881.\nAnswer: -16849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00009375328869 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3003030 - -30?\nAnswer: 3003110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-72)\/(-32) - 4\/((-4)\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 277 - -75. Let x(h) = 2*h**2 + 14*h - 174. Let p be x(7). What is the greatest common divisor of n and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 30907 = -52*y + 27346757. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 11262?\nAnswer: -11264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1362089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 148815 and 86715.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*m - 4*m + 79 + 7*m.\nAnswer: 10*m + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -162861 + 7.78?\nAnswer: -162853.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -9*o + 7*o - 1294, -3*g - 639 = o. Let c = 651 + o. Is c > 23\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -c + 1?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1025395825 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2660780456 to the nearest integer?\nAnswer: 51583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/14*(-10)\/(-1)*(-60)\/(-150). Let z(u) = -8*u**2 + 28*u - 49. What is z(q)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6654278 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -106 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 145 - 105. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1905\/20*12*85\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 + 26*f**2 - 47*f - 527. Determine h(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 298897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-1)\/(-3))\/(8\/282266256). Let q = 20661106 - j. Suppose 3*h = o - 2*o + q, h + 26699996 = 3*o. What is o rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jvvhjvx. What is prob of sequence xvjh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1855\/15 + 8\/(-12)*1. What is the highest common divisor of 656 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*a**4 + 0*a + 0*a + (-3*a**2 - 2*a**2 + 0*a**2)*(-2*a**2 + 6*a**2 + 2*a**2) - 3*a**4 + 4*a**4 + 4*a**4 + 4 + a**3 - 1 + 8*a**4 + 3*a**2 - 6*a**4.\nAnswer: -25*a**4 + a**3 + 3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-9)*q\/(q\/q**25)*q*q\/(q*q**12*q*q*q)*q**(-8\/9)\/q assuming q is positive.\nAnswer: q**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 48821227 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - -4 - -2 - (-160 - -165).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + r = 4*r. Suppose -w - 2*h + 1509 = 0, r = w - 5*h - 1100 - 423. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of -j**4\/12 + 5*j**3\/3 - 11*j**2\/2 + 2*j. Let w = -2577 + 2585. What is c(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 146979 and 567?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15775395 + -27446207. Let g = -5071951 + -1298861. Let f = u - g. What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/(-6)*(-36)\/8. Suppose -q*k = 3*s - 102, -4*k + 3*s = -25 - 132. What is the remainder when k is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 - 8*k + 11. Let u be m(-9). Is (-724)\/(-20) + u\/(-10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -18*h**4 + 112*h**3 + 102*h**2 - 28*h.\nAnswer: -2*h*(h - 7)*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -111771507 + 15.7?\nAnswer: -111771491.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5 times 0.09935\nAnswer: 0.49675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cvvyirgr. Give prob of sequence gv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*n + 50*n - 90*n - 75 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 84758801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2555 + -1?\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15 + -12. Let z(m) = 10*m + 20. Let a(g) = -3*g - 7. Let j(n) = k*z(n) + 8*a(n). Find the first derivative of j(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 + 1 - 2)*(-2 + 2 + 1) + 4 + 6 - 12)*(-4*t**2 - 3*t**2 - t**2 + (18*t + 5 + 6 - 22*t)*(-2*t + 3*t + 0*t)) in the form a*t + q + z*t**2 and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 19*z**2 - 20*z - 4. What are the prime factors of d(-4)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (40\/(-25))\/(948\/340 + -3). Which is smaller: 7 or h?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of g**5\/4 - g**4\/2 - 4*g**3\/3 - 3*g**2 - 31*g. Let f(q) = -6*q**3 + 7*q**2 + 9*q + 7. Determine -6*f(r) - 7*k(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-f + 2 - 2)*(7*f - 2*f - 2*f)*(-1 - 3 + 3) + 20 - 148*f + 439*f - 18 + 3*f**2.\nAnswer: 6*f**2 + 291*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55 and 319968.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-3416)\/20)\/(-7) + 10\/(-25). Solve -43*n = -39*n - x for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3416485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -558*i**2. Let m(t) = 5*t. Calculate y(m(a)).\nAnswer: -13950*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -g - 47*g**2 + g - 130*g**2 - 179*g**2 to u*g + w + a*g**2 and give a.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 869 is divided by 124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 9438*l + 9435*l = 6, 5*m = -l - 2. Suppose m - 6\/7*g + 2\/7*g**2 = 0. Calculate g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, 3, 0.4, -75, 0, -3\/5 in ascending order.\nAnswer: -75, -3\/5, -1\/5, 0, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -5*v**3 - 2*v**2 - 2*v - 1. Let c be j(-1). Solve c*b + 3 - 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 + (1 - 9 - -18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -45913*j**2 + j + 28913 wrt j.\nAnswer: -91826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the first derivative of -7\/3*k**6 + 0*k**5 - 6*k**2 + 1\/3*k**3 - 25 + 1\/4*k**4 + 0*k. What is the third derivative of b(n) wrt n?\nAnswer: -840*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 738.4259 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1686273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/(-14) - (-7 - 6120928\/112) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the second derivative of -g**3\/3 + 19*g**2\/2 + 12*g. Let d be v(7). Solve f - 3*k + 8 = -0*k, -29 = d*f - 4*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 531 - 478. Find the first derivative of -3*f**2 - 34*f**2 - s - 41*f**2 + 275 wrt f.\nAnswer: -156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2496 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + (-146 + 129 - (-8 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 45, -12, -113, -264, -471, -740, -1077?\n\"Answer: -p**3 - 16*p**2 - 2*p + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of 0*b - 14\/3*b**3 + 0 + 1\/210*b**7 - 1\/30*b**5 + 110*b**2 + 29\/60*b**6 + 0*b**4. Find the third derivative of d(q) wrt q.\nAnswer: 24*q + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - 875\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*i**5 - 2*i**5 - 2*i**5 + ((0*i**3 + 4*i**3 - 5*i**3)*(0*i + i + 0*i) - 4*i**4 - 5*i**4 + 4*i**4)*(0*i - 4*i + 7*i).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o = 7*o + 176. Suppose 60*z - o*z = 4080. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -3*n - 23. Let r(o) = 6*o + 45. Let x(j) = -5*g(j) - 3*r(j). Let q(p) = 13*p + 79. Let b(c) = -2*q(c) - 9*x(c). Give b(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the first derivative of -y**3\/3 + 11*y**2\/2 - 19. Factor u(j).\nAnswer: -j*(j - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from jjkaakkejka.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.93 plus -1992717085048?\nAnswer: -1992717085048.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(84) + sqrt(84) + sqrt(84)*-1))\/(2*sqrt(48)) + 1*(-3 + sqrt(112))**2*-5.\nAnswer: -605 + 479*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z**2 - 12*z + 6. Let h be w(12). Suppose 4*q = c - h, -5*c - q + 2 = 14. Let m(g) = -g**3 - 2*g**2 - g - 2. Determine m(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -20 - 36. Let b = 403 + -278. Let a = b - 83. Calculate the highest common factor of s and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-4)\/(-5))\/(-2)*(-25 + 5). Put -1, f, -4, 3 in decreasing order.\nAnswer: f, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 + 3*l - 4. Let q be u(-3). What is the nearest to -1 in 0.5, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from gamaggmtuttt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**3)**(-39) assuming i is positive.\nAnswer: i**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, y: 2, n: 5, o: 6, d: 1}. What is prob of picking 1 n and 1 d?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 62545, 62540, 62523, 62488, 62429?\nAnswer: 62340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bhbh when four letters picked without replacement from {h: 6, b: 12}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 2 e when four letters picked without replacement from tetttrrrtertr?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**2 + 20*p + 68. Let u be d(-16). Let b(m) = -u - 6*m + 8*m**2 - 3 - 7*m**3 + 2*m**3 + 4*m**3. What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 4*s + 259 = -2159, 2*s = 6. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -32*f - 2. Let b be k(-1). Sort 1, 5, b in decreasing order.\nAnswer: b, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6 + -1. Suppose 17 = 2*v + w. Suppose -12 = -v*p + 2*p. Solve 5*f - f = -z + 16, p*z + 5*f = 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/30)\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6.5 + 23.5. Let o = 25.55 + 0.45. Let s = -25.8 + o. Do m and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 425979?\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 52545 = 5*u + 2*z, -3*z = -4*z. What is the greatest common factor of u and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3 - 4)*-3*-1. List the prime factors of 1\/((-100)\/35 - i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 90280\/3 + -30093. What is k in k**3 - v*k**2 + 0*k + 0 = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*u**2 + 3*u**2 + 4*u**2 + (-3*u**2 + 0*u**2 - 2*u**2)*(-3 - 2 + 4) + u**2 - 19*u - 8 + 8.\nAnswer: 8*u**2 - 19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -334*v**2\/7 + 866*v\/7.\nAnswer: -2*v*(167*v - 433)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 4*b = -0*f + 1900, f + 4*b = 481. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2885*k**2. Let x(v) = -v. Give t(x(h)).\nAnswer: 2885*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 165661262 a multiple of 4287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the first derivative of 2*j**3\/39 + 10*j**2\/13 - 22*j\/13 - 4370. Factor q(l).\nAnswer: 2*(l - 1)*(l + 11)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 7543 - -10?\nAnswer: 7553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 272*c**2 + 13*c + 4. Let s(f) = 274*f**2 + 17*f + 5. Determine -4*n(q) + 3*s(q).\nAnswer: -266*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -2*r**2 + 1137860*r + 306229062 = 0.\nAnswer: -269, 569199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-r + 2 - 2)*(r - 4 + 4) + 20*r**2 - 13*r**2 + 52*r**2 + r**2 + 3*r - 3*r)*(2*r**2 - r**2 - 3*r**2).\nAnswer: -118*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.8 - -0.2. Let s = 125.295 - 0.295. Let w = -124.96 + s. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/10)\/((-120)\/(-3000)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.19 - -0.01. Let l = 0.3 - 0.8. Sort i, -3, l in descending order.\nAnswer: i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fffyyffyfy. What is prob of sequence fyff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - 6453?\nAnswer: -6455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 1110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*x**4 + 22869*x**3 - 9*x**2 - 2007664*x?\nAnswer: -36*x**2 + 137214*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 282742693 + -282742656.9999963. Let j = 36 - v. What is j rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -26*o. Let r(p) = -1092 + 32*p + 2*p**2 + 1108 - 32*p. Give r(x(q)).\nAnswer: 1352*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*f**3 - 2 + 10*f**3 - 36*f**3.\nAnswer: -60*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1297 - 1297. Let j be -1*(4\/2 - 1). Let s = -6.6 - -7. What is the closest to j in 2, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4822 + 4819. Put -2665, m, -1 in ascending order.\nAnswer: -2665, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 258 and (-72)\/(-27)*15\/2.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17 + -6. Let q be (-466)\/(-14) - (-26)\/(-91). Calculate the greatest common divisor of q and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 + -6. Suppose 7*m = 9*m + 6. Put 1, v, m in descending order.\nAnswer: 1, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -499*o**2 + 326*o**2 + 309*o - 153*o**2 wrt o.\nAnswer: -652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3391 by 3391.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 26928*v + 862002. Determine m(-32).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.32 + -0.22. Put 5, j, 0 in descending order.\nAnswer: 5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u**3 - 7*u**2 - 7*u + 35. Suppose -21 = -d - 5*t, -2*d + 2*t + 32 = 2. Calculate the remainder when a(5) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 84095870 and 930.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*w**4 + 204*w**3 - 2908*w**2 + 16212*w - 31360.\nAnswer: -4*(w - 32)*(w - 7)**2*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/((-1)\/1) + 2. Suppose -f = -2*r + 7. Suppose -5*j = -2*i + 29, 0 = -i - j - r + 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -29100 - -177?\nAnswer: -28e78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 41040 divided by 6\nAnswer: 6840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-9)\/(-84)*3112\/(-2). Let m = k - -167. Let u = 2 - 2. Which is the closest to -1? (a) m (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -31013 (base 4) to base 2\nAnswer: -1101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32311*o**3 - 816*o**2 + 32309*o**3 + 816*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27*(-11 - (-21)\/2)*-2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6*(-5 + (-154)\/(-21)). Let r(j) = j**2 - 13*j - 17. Give r(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.2 (b) -3 (c) -98 (d) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 633983 or 633992?\nAnswer: 633983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -4387 < 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -49 + 175. Suppose -3*d + q = 27. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h - 2. Suppose 0 = -s - 2*s + i - 13, 3*s + i + 17 = 0. Let l(a) = -2*a - 3. Give s*w(u) + 4*l(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -54\/19 (b) 0.07 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4398167 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -309*r + 2368. Give z(5).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**3 - u**2 + u + 54. Suppose 0*m = -2*m. Let g be t(m). Let y = g - 24. Solve 4 - 12 = -q - 3*d, 0 = 5*q + 5*d - y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2\/(-3) - ((-120)\/9)\/2 and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*d**2 + 11339*d**3 + 11335*d**3 - 22671*d**3 - 1.\nAnswer: 3*d**3 + 12*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53 + 5 = -2*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 - 7*c**2 + 8*c - 9. Let d be i(6). Solve -k - d*k = 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.01, 5, 4, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*l**2 - 36*l**2 + 16*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/(-6) + 1\/(-9). Let s(i) = -i**3 - 9*i**2 + i + 11. Let w be s(-9). Let n be (3 - 5\/w)*0. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5.1 from -1871.\nAnswer: -1876.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y = 128 - 104 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 846159.14 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**3 - 21*y**2 + 10*y + 23. What is c(20)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 3*r - r + 132 = 0, 3*i - 5*r = 192. Suppose 0 = -64*o + i*o - 17365. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/20*(4 + (-40)\/15). Which is the biggest value? (a) 2\/9 (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1468467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 - -9) + (1365 - 1380).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -8893 (base 12) to base 8.\nAnswer: -35357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from iuuiuuuuumuum.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 10*d. Let h = -39 + 26. Let a(q) = 4*q. Let v(l) = 9*l. Let o(i) = h*a(i) + 6*v(i). What is o(w(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -757869492*g**3*o - g**2*o + 269243940*g*o wrt g.\nAnswer: -4547216952*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000727991925 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3787358 rounded to the nearest one thousand?\nAnswer: 3787000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.3 + 0.2. Let w = 3.07 - 1.07. Which is the fourth biggest value? (a) -3\/5 (b) m (c) w (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + s - 3 + s + (-4 + 2*s + 4)*(1 + 1 + 0) - 107*s - 27*s + 37*s in the form l*s + i and give l.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 135 times 2717.3\nAnswer: 366835.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3210634 is divided by 291806.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 8 + -94. Let j = f + 98. Solve -t = -4*t - j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 3, -3\/8, 54599, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -7416 by 1236.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 0*q - k = -15532, 12440 = 4*q - 4*k. Let b = -2088 + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.1 + 0.1. Suppose 2*c + 2 = 4*f, 0 = -2*c + 5*c + 5*f - 8. Let n = -78.9 + 79. What is the biggest value in n, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -124 (base 5) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f - 1. Let c(u) = 2*u**2 - 5*u + 6. Suppose p + 26 = 3*z - 4*p, 5*z - 5*p = 30. Suppose 0 = -z*y - 3*y - 20. Determine y*d(j) - c(j).\nAnswer: -2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 35 - 19. Suppose -4*m = 2*l - h, m - 3*m + 8 = -5*l. Suppose 3*g - 5*r = 107, g - m*r = 2*g - 64. Calculate the greatest common factor of 66 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 9 + 5)*(-2 + 2 - r) - 2*r - 3*r + 6*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25985704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -15074\/11 (b) 0.07 (c) 0.5 (d) -0.4 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -281890*t**2 + 572360*t**2 - 290467*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -6*f + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -60.20994918 + 60.21. What is o rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 2747.0577 months?\nAnswer: 22.8921475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = -5*o - 36, -5*l + 1226*o = 1229*o + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-9)\/2)\/(15\/(-90)). Suppose 4*p - 7*p + v = 0. Solve -4*i - 3*c - 14 = -1, -3*i + p = -4*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (3 - 2 - -2) + -1. Suppose 2*x + 140 = 7*x. Differentiate x + 3*o**a - 9 - 5*o**2 wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide 278687200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 2*y**3 + 20*y**2 + 3*y + 3. Give l(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the second derivative of 5*f**3\/6 - f - 69. Let m(s) = 17*s. Calculate m(v(l)).\nAnswer: 85*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:54 AM and 12:32 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 3 = -2*y + 17, -3*y = -p - 47. Does 8 divide y\/6*42\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 + 37 = 2*o. Let h(n) = 2*n - 27. Let k be h(o). Let q(c) = -2*c - 7. Calculate q(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 1659.\nAnswer: -165.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-44)\/(-506) + (4 - 510\/46)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -527*s + 515*s + 73188. Does 57 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 7*j + 47. Let p(t) = 30*t - 126. Let q be p(4). Let r be i(q). Let l(n) = -n**2 - 5*n - 6. Let b be l(-4). What is the closest to b in 1\/4, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -40621 or -48865?\nAnswer: -40621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 11\/10 of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -36 + 50. Let w = r - 11. Solve 4*u + w = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n**3 - 61*n**2 + 80*n - 1032. Give s(-32).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 615764975 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 41, 35, 39, 59, 101, 171, 275, 419?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00025398 rounded to 6 dps?\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes before 12:22 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-7 - -5 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and 5461.37.\nAnswer: -1092.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 23865 and 103711.\nAnswer: 66893595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 20448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -172, -412, -668, -940?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qvn. Give prob of picking 1 q and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 120 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/3, -4, -3, -1 in ascending order.\nAnswer: -4, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-3)*(0\/1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 60 + 6*y**4 + y**3 - 52 - y**3 with respect to y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*0\/((-8)\/2)*-1. Which is bigger: -3\/28 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3017 * 9.189.\nAnswer: -27723.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.34 - 0.34. Put d, -1, -0.2, -0.1 in increasing order.\nAnswer: -1, -0.2, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4058689, 2, -5 in increasing order.\nAnswer: -4058689, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5126 + 52960*m**2 - 5126.\nAnswer: 52960*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 41*g**2 + 17*g + 25. Is z(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 89*v + 637. Calculate r(-8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1115, 1116, 1117?\n\"Answer: c + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + -2 + -91*(-4)\/70. Let t = -7 + 3. Which is the closest to r? (a) 0 (b) t (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bm when two letters picked without replacement from {r: 9, b: 1, l: 5, m: 1, k: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1.1, 2\/7, 2935486?\nAnswer: 2935486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -1764 - -0.04362.\nAnswer: -1763.95638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -446131226 - -6?\nAnswer: -446131220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -71 + (1 - 2 - (-12 + 6 + 8 + -8))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 37813 + -37738. Solve -y + 137 = -62*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 12c1e - 3?\nAnswer: 12c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (21 - 21 + 46*m)*(3 - 6 + 5).\nAnswer: 92*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -202 - -192.3. Let z = t - -0.7. Let k = z - -9.014. What is k rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4922083 rounded to 3 decimal places?\nAnswer: -0.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6094*a**2 - 431*a + 433*a - 4919*a**2.\nAnswer: 1175*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-5 + -2 - -1) + (42 - (91 - 39))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 520504419 less than 291?\nAnswer: -520504128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 + 8*s**2 - 5*s - 7. Let d be y(7). Suppose -47 + d = -2*f. Solve r + 4*j = 15 + 7, -2*j = 5*r - f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8664 - -8667. Solve 3*o - 5*c = -0*o - 6, -y*c = 5*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 20*i**3 - 42*i**2 - 16. What is the remainder when w(3) is divided by 137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/24)\/((-6)\/16). Let s = -1.8 - -0.7. Let t = s - -0.1. Sort r, 0.1, t in descending order.\nAnswer: 0.1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.79813km in centimeters?\nAnswer: 679813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -bcfd28 (base 16) to base 9.\nAnswer: -25266731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-177)\/(-21) + -9 - 36\/(-14). Suppose 2 = -j*f + 2*m + 6, -f = 3*m - 10. Let k(s) = 2*s + 8. What is the lowest common multiple of k(6) and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 116\/105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - 8) + 7 + (36 - 4 - -13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -22\/5? (a) 3356 (b) 1\/7 (c) 0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 2*d**2 + 4*d + 26. Let r be g(-4). What is the highest common factor of 15 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -5476*i**4 + 5307835*i**3\/3 - 19808552*i**2\/3 + 20810855*i\/3 - 4047550\/3 = 0.\nAnswer: 1\/4, 65\/37, 958\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 368\/32 + 1\/(-2). What is the derivative of 10 - k*i**3 - 13*i**2 - 9*i**2 + 22*i**2 wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n - 5. Let y = -21 - -34. What is the remainder when (21\/2)\/((-2)\/(-4)) is divided by i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -3 + 8617*w + 4*w**3 + 0 - 8617*w. Let v be t(3). What is the greatest common factor of 35 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(2\/9)*r*r)\/r)**49\/(r\/(r\/(r\/(r*r**(1\/2)))))**4 assuming r is positive.\nAnswer: r**(557\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -290 - -291. Let n(v) = -v**2 - 1. Let y(s) = 131*s**2 - 121*s - 4. Let t(b) = p*y(b) - 4*n(b). What is the second derivative of t(z) wrt z?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 164 divide 802944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3860 + -3840. What is the nearest to 2\/5 in 0.2, -0.34, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -3*t**3 + 39*t**2 + 4*t - 4. Let p be r(13). Suppose -34*q = -p*q + 560. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1875, -1876, -1877?\nAnswer: -1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507913 is divided by 1976.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = j, 0*j = -c + 3*j - 41. Let v be (-16)\/(-104) - 230\/c. Let s(l) = l**3 - 8*l**2 - 11*l + 18. Let a be s(9). Solve -4*m + 7 + v = a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*t = 12*t + 63. Put 0.5, -38, -0.5, t in ascending order.\nAnswer: -38, t, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -13*i - 179. Let a be r(-14). Solve -2*m - 3*d - 3 = -m, -d = -m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1354422 (base 11) in base 8?\nAnswer: 10716067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 270822 and 18?\nAnswer: 812466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 2268 divided by -18\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 + -4. Let n = 10 - x. Let m be (-1)\/(-2) - 2\/n. Which is smaller: 8\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of 1315*c**4\/6 - 611*c. Let w(d) = -d. Give w(r(h)).\nAnswer: -2630*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 79\/42 and (-1)\/3*165\/(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3398 is divided by 1478?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 268*a - 605 - 1003 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3801 and 2675085?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7.2 - 11.2. Let d = 3.99999814 + o. Round d to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 786405*j**5 - 7*j**4 + 10*j**3 + 1213244978*j**2 wrt j?\nAnswer: 47184300*j**2 - 168*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w. Let l be p(2). Is 72 - 6\/(l\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 78 - 71 - (1 - -6) - -24 - 7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 677166 and 451444.\nAnswer: 1354332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f + 35. Give c(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13778.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -22312 < -22312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1013 at most as big as 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 940542059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 101632 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22767\/3148 - 14\/787. Sort -5, l, 0.3, 0, -0.3.\nAnswer: l, -5, -0.3, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 5:45 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 12 - 4. Let x = 8 - a. Sort x, -2, -4 in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1171860587.\nAnswer: 19, 3499, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -52*z**2 + 112 wrt z.\nAnswer: -104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 3*k - 4. Let c be x(3). Let g(u) = 2*u - u - c*u. Let p(v) = -6*v**2. What is p(g(l))?\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -19*j**3 + 9*j + 5. Let b(g) = 1 - 5*g**3 + 2*g + 1534*g**2 - 1534*g**2. Determine 18*b(m) - 4*d(m).\nAnswer: -14*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2197\/27 or -0.1?\nAnswer: 2197\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 42166540 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 163, 166, 181, 214, 271, 358, 481, 646?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be -15 + (0 - (0 + -1)). Let s be (-1 + 3)*g\/(-4). Let h = s - 4. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 471 and 2512?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2*sqrt(2) + 5 + -3 + (sqrt(72) - (sqrt(72)*-1)**2).\nAnswer: -73 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 292 is divided by 154?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j + 16. Let c(d) = -d + 13. Let s(u) = -5*c(u) + 4*y(u). Let r(n) = 5*n - 8. What is -r(h) + 6*s(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -37*u + 63*u + 79*u - 1155 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - 3*h - 146, 3*a + 81 = -2*h - 2*h. Let m(d) = d**2 + 22*d - 236. What is the remainder when m(a) is divided by 6\/((-27)\/(-12) + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = 3*w - 7*w. Let z(j) = 2*j**2 + 19*j + 19. What is the remainder when z(-10) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 + 8*d**2 + 22*d - 4. What is the tens digit of a(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a - 5. Suppose 0 = g - 4*x + 6 + 2, 2*x - 48 = -5*g. Let n be l(g). Suppose 5*d + 6*s = s + 90, 0 = n*d + s - 50. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 + -27)*1\/2. Let o be ((-10)\/h)\/(3\/21). Suppose -2*w + 13 = 3. Solve w*r - 6 = -3*z, 3*z + 4*r - o = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8368514 years in decades?\nAnswer: 0.08368514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p - 289. Determine h(-4).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-14)\/6)\/((-66)\/91674)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -32 + 32 + 2*s**2. Let i(o) = -o. Determine k(i(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -n**3 + 5*n**2 - n - 5. Give y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*g = 19*g + 33. Calculate the remainder when 131 is divided by g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 212 - 107. Suppose 99 - z = -6*d. Which is smaller: d or 10\/157?\nAnswer: 10\/157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -3*r**3 + 6183*r**2 + 4004670*r + 7984584 = 0.\nAnswer: -516, -2, 2579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 - 8. Let k = y + 7. Which is the closest to 1? (a) k (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y = -5376*d + 5374*d, 0 = -4*y - 3*d - 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 + 2*f**2 + 8*f - 4. Let i be w(4). Let m be (-170 - (-5 + 5))\/(2\/i). Suppose -7*n - m = -12*n. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1694 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h**3\/5 - 724*h**2\/5 - 72946*h\/5 - 82236 = 0 for h.\nAnswer: -77, -6, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (1 + 9 - (5 + 14))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -699, 689, 2077, 3465, 4853, 6241?\nAnswer: 7629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 209362176 divided by -13085136\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*n**3 + 0*n**3 + 2*n**3)*(-1 + 1 - 2*n) + 2*n**4 + 12*n - 219*n - 57*n as l*n**4 + m*n**3 + s + x*n + a*n**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -12*s - 15. Is i(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(1\/4)*d)**(-10\/11))**(-2\/51)*(((d\/d**1*d)\/d)**7)**(-12) assuming d is positive.\nAnswer: d**(35\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the first derivative of -13*v**3\/3 - 12*v + 136. Let j(a) = 3*a**2 + 3. Give 4*c(u) + 18*j(u).\nAnswer: 2*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -15 + 18. Let n be (1\/1 - 3) + j. Solve t - n = -4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -9\/5, -0.1, 2\/11, -2.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 584.5821l?\nAnswer: 584582.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l**5 + l**5 - 3*l**5 - 4*l**5 + 4*l**5 - l**5 + (2*l**4 + 1 - 1)*(0*l + l - 2*l) + 0*l**5 - 3*l**5 + 4*l**5.\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y**2\/9 + 2443*y\/9 + 695506\/9 = 0. Calculate y.\nAnswer: -2114, -329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -5, 6, -1.11 in ascending order.\nAnswer: -5, -1.11, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:26 AM and 1:32 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/6 and -83\/88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.139761307 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 31 - 33. Let u = w + 4. Solve u*s + 15 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = s - 75, 0 = 3*n - 3*s + 90 - 333. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) -102 (c) -0.2 (d) 1\/4 (e) 38 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 - 10. Let r = 0 + f. Which is the biggest value? (a) r (b) -2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*z**2 - 46*z**4 + 621262*z**3 - 621262*z**3 + (-z**3 - 4*z**3 + 4*z**3)*(-4*z + 7*z - 5*z).\nAnswer: -44*z**4 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -570 or -514?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1274 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0195 and -3336.\nAnswer: -65.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + 14\/14 + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -4*f**2 + 3*f - 3. Let o(p) be the second derivative of -p**4\/3 + 2*p**3\/3 - 2*p**2 - 11*p. Give 3*o(x) - 4*z(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -2576*z + 4356*z + 1312*z as r*z + o and give r.\nAnswer: 3092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2236981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.005 + -0.865. Let q = a + -0.14. Suppose -2*o + 4 - 2 = 0. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -100 - 4215241?\nAnswer: -4215341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 55 - -149. Suppose -12*g + 420 + t = 0. Suppose 266 = -6*x + x - 4*d, 0 = x + 2*d + g. Is x less than -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0008851 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 59557041 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 25*f - 275 = 0. Calculate the remainder when 369 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jsv. Give prob of picking 1 j and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*t**4 + 3*t**4 - t**4)*(-2 + 3 + 0) + (4*t**2 - 3*t**2 + 0*t**2)*(3*t**2 - t**2 - 3*t**2) as d*t**4 + i*t**3 + u*t + p*t**2 + j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 5*l = -2, 0*r - 3*r - l = 4. Let k = 2 + r. Solve -2*z - 1 + 7 = -t, k = 2*z + t - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -16*j**3 + 123*j**2 - 72*j - 62. Calculate u(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 8049, 32203, 72459, 128817, 201277, 289839?\n\"Answer: 8051*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -1 - 22007*r + 22012*r - 7*r**2 + 8 + r**3. Calculate g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 32 - 16. Suppose w = 5*n - n. Find the second derivative of -s**n - s - s + s - s wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 137007.6, 5, 0.19 in descending order.\nAnswer: 137007.6, 5, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1\/2*d**2 + 0 - 1\/2*d**3 + 1\/2*d**5 + 0*d + 1\/2*d**4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 8) to base 16\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -8*k. Let i(p) = -3*p. Determine l(i(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 - -11121111?\nAnswer: 11121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - 1) + 131 + -128?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -2*w + 18 + 12, w - 3 = 0. Let v be (-2)\/(3*h\/(-135)). Suppose -3*f = -8*f + v. What is the remainder when 5 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -32 (b) 6 (c) 0.5 (d) -2\/5 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**3 - h**2 + h - 225. Let p be r(0). Let c = 13011 + -13237. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xxxmxxxxxxmxx. What is prob of picking 1 m and 3 x?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 2)*(-232*l - 4 + 7 + 227*l).\nAnswer: 5*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 15\/36839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*r + 51450 = 26*r. Is r a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-44)\/(-110))\/(38\/2945)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1011 (base 7) to base 8\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4595411, 4595437, 4595473, 4595519, 4595575, 4595641?\nAnswer: 4595717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n. Let o(y) = -35*y + 3. Let f(z) = -71*z + 6. Let w(r) = 2*f(r) - 5*o(r). Let m(b) = -33*b + 4. Let g(j) = -3*m(j) - 4*w(j). Determine g(p(u)).\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12510 + -12510.1. Is -3.324 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -287*b**3 + b + 11 - 11 - 450*b**3.\nAnswer: -737*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23882.\nAnswer: 2, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 2*y**3 - 24*y**2 - 27*y. Determine i(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 287 is divided by 245?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*a**2 - 70*a - 31*a**3 + 0*a**2 + 70*a.\nAnswer: -31*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**3 - 11*w + 1. Let h(z) = 3*z + 48. Let f be h(-14). What is the units digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhhqhq. Give prob of sequence hhqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 + 6 + 0)\/(-1). Let d = 11 + j. Solve 2*u - 1 = d*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 5*l**2 + 2*l + 1. Let o be h(-1). Solve -3*a - 12 + 3 = 0, 2*v - o*a = 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 6*v - 70 = -90. Calculate the lowest common multiple of v and 640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 531 divided by -39?\nAnswer: -177\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 26, 3, -244, -3, 5, -7 in descending order.\nAnswer: 26, 5, 3, -3, -7, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 801 and 45.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 882 (base 9) to base 12\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10\/(9 + -4)*2\/1. Solve 0 = 3*s + 1 - o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 3*d + 58 = 0, 4*f + 6*d = 4*d + 242. Let m = 355 + f. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 4\/93, -3, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4615033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*p + 2*p + 0*p - 2*p - 1 + 1 + (-p + p + p)*(-3 - 2 + 4) + (0 + 3 - 4)*(-p + 1 - 1) + (-99 - 89 + 194)*(-p + p - p) + p - 3*p + 4*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1211022201 - 102111?\nAnswer: -1211202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5454496 litres to millilitres.\nAnswer: 545.4496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*t**2 + t**2 + t**2)*(-1 + 2*t + 1) - 2*t**3 - t**3 + 4*t**3)*(-4*t - 2*t + 5*t)*(-3*t - t + 2*t).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13 + -1. Let c be (-8)\/28 + 141396\/p. Round c to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -131280 divided by -5.\nAnswer: 26256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.1 + 1028894\nAnswer: 1028893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - 13*i + 424. Calculate v(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 37*h - 109. Let q be o(3). Solve -7*t + q = 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 293.9 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**4*w**(-1\/28)*w*(w*w\/w**(-33\/7)*w*w)\/(w*w*w**9) assuming w is positive.\nAnswer: w**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -13*q**2 + 0*q**2 - 8*q**2 - 2*q**2. Let b(z) = 0 - 7261*z + 0 + 0 + 7266*z. Determine b(x(f)).\nAnswer: -115*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - n = -6, 0 = 6*b - 9*b - n + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 305 and 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4224842327 to the nearest integer?\nAnswer: 64999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -191 + 181. What is the thousands digit of 32\/(160\/b) - (0 + -1324)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13957*t**3 + 6976*t**3 - 30*t**5 + 6982*t**3 - 909*t wrt t.\nAnswer: -600*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -37 + 40. Suppose l*j = -6*b + 5*b + 343, -5*b = -4*j + 489. What is the greatest common factor of j and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x - 12. Does 2 divide f(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, -11 in ascending order.\nAnswer: -11, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -11121?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2426 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xjl when three letters picked without replacement from vrvlrjx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is -750500 > -750502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 39*g**2 + 2*g + 4. Let r be f(4). Suppose 0 = -3*x + 3*o - r, 0*o = 5*x + 4*o + 1024. Is 4 - (-4 + 5 + x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 234*q - 1867. Let p be z(8). Let b(r) = 2*r + 17. Let n(t) = t + 8. What is p*n(c) - 2*b(c)?\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**3\/7 + 26*z**2 + 2*z\/7 - 26 = 0 for z.\nAnswer: -1, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 114, 145, 350, 855, 1786, 3269, 5430?\n\"Answer: 21*n**3 - 39*n**2 + n + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -2021*b - 7372*b - 1174*b - 4559*b. Let h(p) = 2*p**2. What is h(l(c))?\nAnswer: 457591752*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 497216 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 116650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2729198821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 5 = j - 65, 0 = 5*j - 2*t - 278. Suppose 4*y - 2*y = -2*x - j, 4*y - x = -122. Let m = -1 - y. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 43244 (base 11) to base 12\nAnswer: 30453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4534 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8324269339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 92 - 47. Suppose -4*u = 2*s + s - 49, -3*u = 5*s - b. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1614 or 6453\/4?\nAnswer: 1614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 62072?\nAnswer: -3\/62072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y. Suppose 2*d + 1 = 3. Suppose -b + 3 = d. Let l(c) = 8*c**2 - c**b - 6*c**2. Calculate l(i(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 825\/(-80)*60\/1050*-42?\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 739450 is divided by 184854.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-81))\/(52\/(-117))*-6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -s**4 - 2*s**4 + 6*s**4 + (10*s + 6*s - 5*s)*(-5*s**3 + 4*s**3 - s**3).\nAnswer: -19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -33, -50, -65?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 171438, 341804, 512170?\nAnswer: 682536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-30)*380\/(-76)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1839 divided by -4534.\nAnswer: -1839\/4534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -8*l**3 - l**2 + 2. Let d = 3 + 11. Suppose 0*h + 4*h + 4*c = -16, -2*h = 5*c + d. What are the prime factors of p(h)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*x + 5. Let t(i) = 3*i + 4. Let z(b) = 13*b + 16. Determine x*z(j) - 9*t(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -3*j**2 - 4*j. Let p(k) = -5*k**2 - 5*k + 3. Let a(b) = 9*b**2 + 9*b - 5. Let h(o) = -3*a(o) - 5*p(o). What is -5*h(d) + 3*v(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q\/(q**2*q)))\/((q*q\/q**(-1\/3))\/q)*((q*q**(-6))\/q)\/q*q*q**(2\/5)\/q assuming q is positive.\nAnswer: q**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxhxxjxxxxxxxjh. Give prob of sequence xxh.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) -5 (b) 1\/56681 (c) 2\/7 (d) 0.2 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 - 23*z + 102. Calculate o(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 936932.4 litres to millilitres.\nAnswer: 936932400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/11 + (-40)\/220?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/((-1)\/(-3)) + -3. Let x(r) = -r**2 - 8*r - 7. Let b be x(h). Suppose 4*y - 92 = -4*t, 0 = b*t - 6*y + 2*y - 142. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 - 4*n**2 - 2*n - 6. Suppose -2*g = v - 5 + 3, -2*g = -v - 10. Let k be l(v). Let w be ((-8)\/(-10))\/(k\/15). Solve -w - 4 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 403 is divided by 138?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -135 + 135. Solve 2*s + 2*p = d, -3*s + 6*s + 12 = 3*p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uffufffufuuu. What is prob of sequence uff?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*v**3\/5 + 7192*v**2\/5 + 9266*v\/5 + 412 = 0. Calculate v.\nAnswer: -1, -2\/7, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 664 and 18920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 53 = 297. Let x = h + 541. Calculate the highest common divisor of x and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 53 = -5*q, 0 = -q - 0*k + 2*k + 12. Suppose -c = c + q. Let d(r) = -2*r - 6. Calculate the remainder when d(c) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the second derivative of -k**7\/2520 + 11*k**6\/720 + k**5\/12 - k**4\/6 + 4*k. Let c(q) be the third derivative of u(q). Is c(7) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -82 and -88 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 + 24*g**2 + 2*g - 46. Let o be z(24). Let c(p) = 52*p**2 - 49*p**o - p**2. Let n(m) = -m**2 - 163*m. Give n(c(v)).\nAnswer: -4*v**4 - 326*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*(m**2\/m)\/m*m*m)**7*(m*m*m**(3\/5)*m*m)**35 assuming m is positive.\nAnswer: m**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 24.46 + -24.5. Which is the nearest to 1? (a) 2 (b) g (c) -1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(2\/19)\/(l\/(l\/(l**(-2\/9)\/l)))*((l\/((l*l**4)\/l))\/l)\/l**(-1\/3)*(l**(-8)*l**1)\/(l**2)**(2\/9) assuming l is positive.\nAnswer: l**(-1673\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2267607737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -188*d + 3. Let n be o(4). Let t = 1405 + n. List the prime factors of t.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -78662377 by 3.\nAnswer: -78662377\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 39 - -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 198931 and 993?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 41\/336 - -1\/48. Let i = 2\/35 + w. Sort -2, -3, i in decreasing order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1211729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 77806598 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/1470546 and 97\/4144266.\nAnswer: 45586926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.2 + -1.77. Let t = a + -0.43. What is the smallest value in 11, t, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 46 (b) 4 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87873521?\nAnswer: 87873521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 3. Suppose w = s + 4*s - 170. What is the remainder when s is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 PM and 9:29 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -207*l + 100*l + 40 + 74*l wrt l.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 578*d + 1158. What is p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 16, -8, 8 in decreasing order.\nAnswer: 16, 8, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -14*q - 14*q + 29*q. Let v(r) be the second derivative of 3*r**5\/5 + 3*r**2 + 3*r. Let g(s) be the first derivative of v(s). Give g(c(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1*0*(-3)\/(5 - -1). Suppose 5*m + o + 19 = l, -m - 10 = -5*o - 1. Let d be -1 + (4 - (-8)\/m). What is the highest common divisor of 8 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 35*w + 284. Calculate z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3939895181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**3 + 8*d**2 - 9*d - 16. Let t be o(-9). Let z(b) = b**3 + 17*b**2 + 21*b + 4. Let u be z(t). Let r = u + 86. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.1 and -38.549?\nAnswer: 38.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 69 - (-805 + 757).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -7*w. Let c(u) = 4*u - 8*u - u. What is c(y(v))?\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 422*o**2 + 27*o + 70. Is f(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the first derivative of 29*s**3\/6 + 2*s**2 - 38*s - 36. Let a(u) be the first derivative of i(u). What is the first derivative of a(p) wrt p?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 + 5*x**2 + 6*x + 4. Let t be p(-4). Let o be t\/(3\/(-6)*-2). Which is the third biggest value? (a) -5 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 565 + -534. Solve a = -4*n - 3*d, 18 = -3*n + n - 2*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (32*s - 32*s - 6*s**2)*(5*s**2 - 7 + 7).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (56 - 12 - 10 - 18) + 16\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 486645, 973287, 1459929, 1946571?\n\"Answer: 486642*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from {e: 2, p: 7, k: 4, b: 6, n: 1}?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 251104, 251179, 251260, 251353, 251464, 251599?\nAnswer: 251764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 131 - 131. Let t(u) = u**3 + 3*u**2 - 5*u + 931. Does 45 divide t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 0*r = -9, -2*p - 3*r = 5. Suppose 6 = 2*d + p. Let x = d + 3. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-4)*-1)\/sqrt(252).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d + 6. Let h be b(-6). Suppose -5*q - 102 + 27 = h. Let u = q + 21. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1740500*x**2 - 53100*x + 405.\nAnswer: 5*(590*x - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p - 3*n - 29 = 0, -p - 10*n + 8*n = 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**2 - 8*o - 13. Let g be i(-3). Suppose 3*p + 9 = 36. Solve 5 = -z + a + g*a, -p = -3*z + a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - 4945?\nAnswer: -4946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 - -2. Suppose q - c*t = -16, 2*t - 1 = -q + 1. Sort -5, 0, q in descending order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of 0*c**3 + 19\/6*c**6 + 0*c + 0*c**5 - 23 + 0*c**4 - 8*c**2. What is the second derivative of i(r) wrt r?\nAnswer: 380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 19.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -3*d**5\/2 + 159*d**4\/2 - 741*d**3\/2 + 1017*d**2\/2 - 216*d = 0. Calculate d.\nAnswer: 0, 1, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*t - 14 = 13*t. Let x be t\/((-63)\/(-20)) + -3. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/15*(2 + 28). List the prime factors of 195\/v + (-2)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 + -2 + -7)\/(-2). Suppose 0 = -11*i - 79 + 244. Calculate the greatest common divisor of h and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 0 + 6 = 5, -5*s + 4*t = -29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 998885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -70*j - 269411 + 269411. Let k(g) = -14*g. What is y(k(w))?\nAnswer: 980*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 477 divide 247086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 981759, 981763, 981777, 981807, 981859, 981939, 982053, 982207?\nAnswer: 982407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 4 = -3*j. Let a = 5 + j. Is 1 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(5\/4)*i**(-4\/7)*i*i**(-7)*(i**(-3\/5)*i)\/i)**(-14) assuming i is positive.\nAnswer: i**(829\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 53948 = 5*t - 319322, 4*t = -2*p + 530736. Let q = -152364 + p. What is q rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 20 = z. Suppose 0*w = -z*w + 4. Which is the second smallest value? (a) w (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:26 AM and 7:30 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = j + 4*q, j + 3*q - 36 = 2*j. Let s = 55 + j. What is the remainder when 88 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 2*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (11 + 12672*k**2 - 6299*k**2 - 6340*k**2 + k)*(4*k - 5*k + 3*k) to r + y*k**3 + c*k**2 + m*k and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/15)\/((-1)\/15) + (-107911)\/(-3999) + -33\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (3 - (7 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/3, -74, -4\/109, 0.3, -3, -9, 5?\nAnswer: -4\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 833571 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = m - 10 - 8, -3*v - 12 = m. Factor -16*l**5 - 4*l**m + 16*l**4 + 3*l + 4*l**4 - 3*l.\nAnswer: -4*l**3*(l - 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 3*k + 5*b, -3*b = -5*k + b - 15. Let r = 1 - k. Suppose r = 3*v - 2. Is 1\/2 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 6, k: 7}. Give prob of sequence jjk.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*a + 56 - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - 0. Is -1 + 123*(-4)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*m + 36 = -8*m. Suppose 20 = -m*a + 8*a. Suppose -706 = -4*t - a*k - 50, -t + 143 = -4*k. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the first derivative of -n**2\/2 + n + 32. Let x(b) = 7*b + 7. Let c(l) = 5*s(l) - x(l). What is the first derivative of c(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4035*s**2 - 15386*s**2 - 13229*s**2.\nAnswer: -32650*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5\/((-19)\/(-2) + -7) - (-5)\/5. Solve m*v = 5*v + 4*o - 8, 0 = o - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 43\/(3\/(-1) - -2). Let y = a - -43. Solve 5*b - b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3b269e - 4?\nAnswer: 3b269a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -96 - -94. Let s(a) = -2*a**3 + 2*a + 2. What is s(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -21120 (base 3) to base 5\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 178 - 178.98. Let p = -0.97999964 - a. Round p to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1428, 1468, 1508, 1548, 1588, 1628?\n\"Answer: 40*s + 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the third derivative of z**8\/42 - z**5\/12 + z**2. Find the third derivative of q(o) wrt o.\nAnswer: 480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 11*f**2 + 9*f - 177. Let k(a) = 14*a**2 + 12*a - 235. What is 9*h(d) - 7*k(d)?\nAnswer: d**2 - 3*d + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 1973*l + 2009*l + 14.\nAnswer: 36*l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 9.401383cm?\nAnswer: 94.01383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 2574 divided by -286\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-27 - (10 - ((-7 - -1) + 24)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2080.999997444 - 2081. What is n rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-1\/5)*h)\/h*h)**(-1\/13)*((h**0\/h)\/h)**(1\/39) assuming h is positive.\nAnswer: h**(-22\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 292626 is divided by 1683.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r - 3 + 3)*(7 - 4 - 1)*(4*r - r - 5*r)*(23 - 16 - 33) + r - r - 2*r**2.\nAnswer: 206*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1188 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1102935, -1102934, -1102933, -1102932, -1102931, -1102930?\nAnswer: -1102929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in -4, -27, 17, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -5e7 (base 15) to base 2\nAnswer: -10100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 0 - -501?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -551*8\/(-416) - 10 and -22\/39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 73558 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 - 7*j**2 + 1. Let z be b(7). Let x(g) = -g**2 + 7*g + 5. Let q be x(7). Let h(i) = i**2 - 6*i + 1. Let o be h(q). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 + -11. Let h(p) = p + 2. Let y be h(o). Let b = 5415 - 5412. Put -20, b, y in decreasing order.\nAnswer: b, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 - -10. Let u(v) = v**2 + 7*v + 9. Let w be u(p). Let q be (-4)\/(-6)*(-6)\/4. Put -4, q, w in descending order.\nAnswer: w, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 323 + -327. Which is smaller: -35 or m?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*y - 1251 - 2781 = 172*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 8113.149 months to millennia.\nAnswer: 0.67609575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1334792 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2465 - 2452.73. Let i = f + -12.25607. Round i to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6864\/24122 + 11\/((-924)\/24). Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41635 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i**3 + 14*i**2 = 0 for i.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*y + 125 - 93 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8 + -8 + (-2)\/(-8). Let v = 0 - 0.1. Is o less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 446 + -31. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + j + 2*j)*(4*j**2 - 2*j**2 - 3*j**2) - 9*j + 9*j - 4*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2567 = 2*q + 15*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -188*i - 3*i = -573 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -36610 divided by -5\nAnswer: 7322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 32149 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 22029022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r. Let c be (1\/3)\/(6\/36). Let o(a) = 4*a + c*a + a**2 - 6*a. What is u(o(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 8*y**2 - 10*y - 13. Let q be h(-9). Let u be 3\/q + (-243)\/(-276). Let z = -13\/253 - u. Which is the nearest to -5? (a) z (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 0.694, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 7560748985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (p - p + 3*p**2)*(-p + 3*p + p) - 14 - 14*p**3 + 14 in the form r*p**2 + a*p + g + x*p**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 58232d + -1e?\nAnswer: 58230f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence agq when three letters picked without replacement from {a: 1, q: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 344 not equal to -15798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*h**2 + 11*h**2 - 5*h**2 - 5*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 832672*a**6*u - a**4 + a**2*u - 29635*a*u + 442*u wrt a?\nAnswer: 99920640*a**3*u - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11903 + -14069.2. Round k to the nearest 10.\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 AM and 8:17 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1179285 is divided by 1776?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -42832*d**4 - 2*d**3*t + 7*d**2 - 233*d*t - d + t wrt d.\nAnswer: -1027968*d - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -61.9213 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t**2 - 7*t**2 - 3*t**2 - 841*t + 121*t.\nAnswer: -9*t**2 - 720*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -674 - -1273. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (39 - 44) + 24914\/4984. Let a = h + 58577\/12460. What is the common denominator of -95\/46 and a?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**2 + 5*l + 10. Let w be r(6). Suppose 3*c = -u - 14 - 14, 0 = 4*c - w*u + 16. Let h = -1 - 2. Sort 0, -4, c, h in descending order.\nAnswer: 0, h, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1721705 + 3?\nAnswer: -1721702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 15 = 2*u, 27*u - 5*t - 13 = 30*u. Let m be 0\/(u*(12\/(-8) + 1)). Which is the closest to -12? (a) 1 (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -5, -10.007, -0.5 in increasing order.\nAnswer: -10.007, -5, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -730.4651515 rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**2)**21 assuming o is positive.\nAnswer: o**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -159*g**2 - 1162*g**2 - 1448*g**2.\nAnswer: -2769*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5847*i**3 + 2*i - 20641?\nAnswer: -35082*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(684) + 0 + sqrt(684))*-4 + 0)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1095*h**4 - 369 + 921*h**4 - 1551*h**4 with respect to h.\nAnswer: 1860*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (8*c + 72*c + 84*c)*(c**2 + 3*c - 3*c) to p + a*c**2 + w*c + j*c**3 and give j.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4712783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 144, 147, 152, 159, 168, 179, 192?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and 14662467?\nAnswer: 4398740.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*r - 1 + 4*r + 0)*(10 - 11 + 4) to the form w*r + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-54)\/(-390)*(-200)\/12. Let u be ((-1)\/(-2))\/((-5)\/20*6). Are p and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 10947.65 millennia?\nAnswer: 1094765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 110 (base 2) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**3 - 7*p**2 + 5*p. Let d(a) = a**3 - a**2 + a. Give 5*d(c) - k(c).\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.04 - -0.44. Let f be (0 - (-1)\/14)\/((-10)\/(-40)). Which is the smallest value? (a) r (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = 4*c - 3*h + 219, 318 = 3*c + h. Suppose -a = a - 72. What is the remainder when c is divided by a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -152 - -162. What is the second smallest value in -3, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 191 divided by -266292\nAnswer: -191\/266292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyprpryy. What is prob of picking 2 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -14 times 0.7?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1\/3, 1.9, -19.\nAnswer: -19, 1\/3, 1.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.35905 + -0.3590422622. Round k to seven decimal places.\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -5*g + 17. Let r be w(4). Let u be (-3)\/(-6)*1*2\/r. Which is the closest to 1? (a) -4 (b) -3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3558606 is divided by 1779302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -3*j + 147, 0 = 9*q - 11*q. What is the highest common factor of 3 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 55\/117869?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 + 22\/8 - 4. Which is the nearest to 2\/5? (a) -0.5 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 55 = 5. Suppose 5 = -3*f - 5*r - 3, -20 = -2*f + 3*r. What is the highest common factor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -7\/1277, 8.\nAnswer: -7\/1277, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/880 and -61\/10552.\nAnswer: 1160720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 4*s**2 - 2*s + 2. Let u be q(3). Let m = u + -6. Suppose 4*x - m = 22. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from {y: 6, u: 5, e: 2}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 7*w**3 + 70*w**2 - w - 10. Let f be p(-10). Are f and 0.422 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -157, 2\/15, 0.1, -5\/4, -5, 101 in increasing order.\nAnswer: -157, -5, -5\/4, 0.1, 2\/15, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -88 in 0, -25.61, 3, -5?\nAnswer: -25.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 + -4. Let c be ((-8)\/(-10))\/1*5. Suppose v*d + 1376 = -4*o - 2*d, -o = c*d + 356. Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37 - ((-3 - 12) + -7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14026567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u**1*u))**(7\/9)*(u**(-1))**35*u*u**(2\/7)\/u*u*u*u**(-2)*u*u**(5\/2)*u*u*u*u\/(u**0\/u) assuming u is positive.\nAnswer: u**(-3401\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4334220 and 10769?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3418891*v + 10070 = 3418701*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 + 1*22\/(-12). Suppose -8 = -9*n + 1. Is m less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lbnbblbnbnnnvnvbnvnb. What is prob of picking 1 l, 1 v, and 1 b?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, -5, -2.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/6 + 24\/(-9). Let t(n) = 14*n + 23. Let v = 400 - 402. Let d(j) = -13*j - 23. Let g(y) = s*t(y) + v*d(y). What is the derivative of g(l) wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 406 and (-147676)\/(-38) + (-1508)\/7163?\nAnswer: 27202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.02467 and 0.562919.\nAnswer: 0.538249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) 299\/4 (d) -1\/7 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(6\/5)*j)**(-2\/51)*j**(-13)*j**(-4\/9)*j*j assuming j is positive.\nAnswer: j**(-8851\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 4*b**2 + 1118*b - 107. Let y(d) = 19*d**2 + 5589*d - 500. Give 14*i(s) - 3*y(s).\nAnswer: -s**2 - 1115*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.4 + -0.1. Let x = -0.2 - n. Which is the nearest to -2\/5? (a) x (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-846)\/(-4)*427\/(-33). Let r(q) = -594*q + 230. Let c be r(5). Let a = c - u. Calculate the common denominator of 65\/22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*y**2\/13 - 844*y\/13 + 89042\/13 = 0. Calculate y.\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be -48*(-1 + (-2)\/(-4)). Suppose o + 3*o = f. Suppose 4 = -4*t + 44. Calculate the smallest common multiple of o and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the first derivative of 7\/3*o**3 + 0*o + 0*o**2 + 8. Let h(d) = -14*d - 49. Let t(s) = -9*s - 35. Let b(c) = -5*h(c) + 7*t(c). Give b(a(i)).\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3455 - 3411. Calculate the highest common factor of k and 946.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 407 divide 209132636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express -82*g - 29*g - 892*g - 35*g + (1 + 5 - 4)*(4*g + 0*g + 0*g) as n*g + t and give n.\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 83217163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -4*l**3 + 4*l - 1. Let d(s) = 21*s**3 - 21*s + 5. What is 2*d(m) + 11*j(m)?\nAnswer: -2*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzzhzzhhzz. What is prob of sequence hh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, r: 8, o: 3, b: 1, z: 1, q: 2}. Give prob of picking 1 z, 1 q, 1 o, and 1 r.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18319?\nAnswer: 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence saua when four letters picked without replacement from {d: 2, a: 3, u: 4, s: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the second derivative of -r**4\/4 - 5*r. Let v(k) be the third derivative of -k**4\/8 + k**2. Determine h(v(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*l - 12*l + 5*f - 40437, 4*f - 40440 = -2*l. What is l rounded to the nearest 100?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 3323, 13318, 29973, 53288, 83263?\n\"Answer: 3330*l**2 + 5*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 28 + -12. Let v = r - 15. Suppose -5*i + 573 = -2*j, 5 - v = -j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 20 and -381.\nAnswer: -7620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30\/50 + 514\/10 is divided by (-184)\/(-10) + (-2)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 42 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ilnrnllrlbrln. Give prob of sequence riln.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 18, 5, 9, 8, -8, 20 in decreasing order.\nAnswer: 20, 18, 9, 8, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 22*q + 494 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**2 + 2*m - 6. Let y be v(-8). What is the smallest common multiple of 3 and 156\/y - 6\/(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (111 + 12 - 99 - (12 + 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m**3 - 9*m**2 - 8*m + 18. Suppose q - 26 = 3*q. Let w be i(q). Suppose -l + 4*l - 5*n - 1205 = 0, 2*l - 2*n - w = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -176*i - 30945. Calculate w(-176).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1020 and 2460.\nAnswer: 41820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2258021338?\nAnswer: 2, 31, 1174829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*w + 0 + 0)*(0*w - 2*w + 5*w + (26 + 32*w - 26)*(-5 + 2 + 4))*(0 + 0 + 3) to g + o*w**2 + j*w and give o.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 1 + x + 1)*(1 - 3 + 0 + 1 - 12 - 1 + (-3 + 1 + 3)*(-5 + 2 + 2))*(0*x**2 + x**2 - 3*x**2) to the form u*x + p*x**3 + y + c*x**2 and give c.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 7.6 + -38601?\nAnswer: -38593.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252 = -17*u + 13*u. Find the common denominator of (-1143)\/462 - 6\/u and -53\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 3*i = 4*s + 6, -s + i - 4 = 0. Let v(d) be the first derivative of -d**2\/2 - 8*d - 33. What is the units digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 25*k + 3. Let w(d) = -1577*d - 190. Let r(y) = 3*w(y) + 190*x(y). Let g(s) = 8*s. What is r(g(a))?\nAnswer: 152*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 399356800 to the nearest integer?\nAnswer: 19984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 4*k - 8*k)*(-31 + 117 - 91 + 29*k + (0 - 1 + 2)*(4*k + 0*k - 2*k)).\nAnswer: -155*k**2 + 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -45*p**2 - 5. Let d(l) be the first derivative of -11*l**3\/3 - l + 14. Let n(g) = 25*d(g) - 6*f(g). What is z in n(z) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = v - 2*l - 0*l, -2*l = 2*v. Suppose -28 = -3*y - 5*t, 0*t + 5*t + 60 = v*y. Calculate the greatest common divisor of y and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1153.352 + 3.352. Let m = -1575938106.000523 - -1575936956. Let d = m - w. Round d to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56825555.\nAnswer: 5, 59, 192629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 5799 - 0?\nAnswer: 5799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -25*f**5\/4 - 9765*f**4\/4 + 3909*f**3\/4 - 391*f**2\/4 = 0. What is f?\nAnswer: -391, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1001 + 535. Let h = m - -466.0000193. Round h to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*o - 45 + 27 = 210 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 352332809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -900158*m**2 - 1779923 wrt m?\nAnswer: -1800316*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -277 < -551\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 19. Let z(d) = d**2 - d - 3. Let b be z(-3). Let r = b - p. Let s(k) = k + 7. Determine s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -266\/303, -1\/3, -34\/11, 21 in descending order.\nAnswer: 21, -1\/3, -266\/303, -34\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (252\/1365)\/(((-1)\/10)\/(76\/(-608)))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 134048199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001963102979 rounded to 7 decimal places?\nAnswer: -0.0001963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of -s**8\/112 - 11*s**4\/24 + 18*s**2. What is the second derivative of d(l) wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 18000*x. Let w(i) = -3*i. Calculate w(r(p)).\nAnswer: -54000*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14472 is divided by 188.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -2 - (-8 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36 and 11264324?\nAnswer: 101378916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f - 10*f + 9*f + 4. Let o be z(4). What are the prime factors of 1\/(((-2)\/o)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13.092696 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13726 is divided by 199.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**2 - 6*s - 13. Calculate a(15).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-6)*9\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -239450 or -239453?\nAnswer: -239453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 41395804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 2040 (base 8) to base 9\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1999 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-294*p**2 + 291*p**2 - 57*p + 1 - 15*p)*(-3 + 2 + 0) to the form h*p**2 + q*p + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ivi when three letters picked without replacement from viaiaiiioiiaiii.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -573*p + 82 + 10232 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (808\/20)\/((-92)\/(-63710)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(1088) + 0 + (sqrt(51)\/sqrt(3))**2.\nAnswer: 17 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 21*y**3 + 1972*y**2 - 149*y + 3691. What is b(-94)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1, -89, -217, -383, -587, -829?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2 + 112278*q + 1050529107.\nAnswer: 3*(q + 18713)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the second derivative of -6*i + 1\/6*i**3 + 0 - 2*i**2. Calculate the least common multiple of v(12) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 8.23 times 0.8\nAnswer: 6.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**2 + h + 45. Calculate the smallest common multiple of 1\/(-9) + (-13)\/9*-7 and o(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (756\/(-90))\/((-2)\/10). Suppose -4*x = n - 2*n - 97, 0 = -2*x - 4*n + 62. Is 18 a factor of (1*y)\/(x\/75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1060634750.\nAnswer: 2, 5, 7, 606077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h - 7 - 1, 0 = -a + 3*h + 8. Let s(w) = 5*w - 2082 + w**2 + 2079 + 5*w**3 + 0*w**3 + 0*w**3. What is the units digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*q + 117*q = -80 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 895 times 2.46?\nAnswer: 2201.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-5))\/(2\/(-10)). Let f = 4 + 1. Let g be 2\/(-6) + f\/15. Sort -1, o, g.\nAnswer: o, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -3*g - 13. Let b be 6\/(-4)*344\/(-6). Suppose 2*m - b = -10. What is the remainder when m is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -18*z. Let g(d) = -618491*d. Calculate o(g(b)).\nAnswer: 11132838*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 46 and 3409589?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22, 31, 22, -17, -98, -233, -434?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 14453+90166\nAnswer: 104619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**3 - 11*x**2 + 4*x - 6. Is f(-12) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1 - -0.1. Let y = 103 + -99. What is the closest to -1\/2 in y, l, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 613697 divided by -7\nAnswer: -87671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -5*x**2 + 4*x + 33. Let u be z(-4). Is (-74898)\/u - (-18)\/(-21) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the third derivative of 29\/60*j**6 + 0*j**3 + 2*j + 61\/24*j**4 + 1\/30*j**5 + 17*j**2 + 0. Find the third derivative of m(p) wrt p.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-1 - 1 + 5)*(23*g + 29*g - 9*g) + (3*g - 3*g - 2*g)*(4 - 3 - 2) - 2 + 2 - g)*(1 - 3 + 3 + (0 + 2 + 0)*(1 + 10 - 1)) to j*g + y and give j.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2338*u**6 + 11*u**4 - 180*u**3 - 23832330*u**2 wrt u.\nAnswer: 280560*u**3 + 264*u - 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 24 = -2*y, -4*y + 8 = -0*p + 3*p. What is the highest common factor of 104 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 2*n - 11. Let y be (-7)\/(-14) + 11\/2. What is the remainder when 100\/y - (-4)\/12 is divided by u(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 323.7 + -0.7. Let u = n - 323.1. Is u less than -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0566366*-54.7.\nAnswer: 3.09802202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-9)\/(-21))\/(1650\/385)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6096439*n - 808867155?\nAnswer: 6096439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 14*v**4 + 3*v**2 + 13*v + 3. Let n(d) = -14*d**4 - 4*d**2 - 12*d - 4. Let g(p) = 4*f(p) + 3*n(p). Find the second derivative of g(y) wrt y.\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/2029 and -8\/7.\nAnswer: 14203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 13.66997 centimeters?\nAnswer: 0.1366997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 6*o - 17 + 11 - 12*o - 3*o**3 - 2*o**2 + 4*o**3. What is the hundreds digit of l(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6332*c - 6354*c + 1 + 6 + 0 + 2 to g + z*c and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108 = -s + 55. Suppose -3*u - 4*l = -7*u - 196, -2*u - 118 = 3*l. Are u and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -916*d**3 - 4*d**2 - 127*d - 5. Let n(g) = 2748*g**3 + 11*g**2 + 382*g + 14. Let q(j) = 11*f(j) + 4*n(j). Find the second derivative of q(h) wrt h.\nAnswer: 5496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.82294*0.2.\nAnswer: 0.964588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/(-10) - (-7)\/5. Suppose -s*q = -21 + 3. Let z(f) = 7*f**2 - 2*f - 5. Let w be z(4). Calculate the greatest common factor of w and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1867*x + 17 = -1884*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 + 6*g**2 - 5*g + 2. Suppose -2*v - 95 + 29 = 0. Let t = 26 + v. What is p(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7682*k - 26841*k - 5256*k)*(-2*k**3 + 2*k**3 - k**3) to h*k**3 + v*k**2 + w*k**4 + f + z*k and give w.\nAnswer: 24415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 23614811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4333.\nAnswer: 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 4*h**3 - h**2 - 6*h - 5. Calculate s(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*g - 162 = -2*p, -4*g - 44 = -72889052*p + 72889048*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*s = 21*s + 528. Suppose -5*v + 17*v - s = 0. Let u = -83\/2 + v. Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (-1 + (-6 - -7 - -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in seventeen quarters of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**2 + 19*l + 41. Suppose 5*n - 7 = 98. Let w be y(n). Let o(h) = -270*h**3 + 2*h**2 + 3*h + 2. What are the prime factors of o(w)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/(-63))\/((-4)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 74*m + 42*m - 85*m - m + 0*m + 0*m - 2 + 2 - 2*m + (-2 + m + 2)*(0 + 4 - 3).\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + -10. Let d = -13 - f. What is the biggest value in -0.5, d, 0.06?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96*s + 192*s + 4 = 97*s. Let q(f) = -42*f**2 + 4*f + 4. Let c(o) = 336*o**2 - 33*o - 33. What is s*c(y) + 33*q(y)?\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n\/((n\/(n*n**(1\/2)))\/n))\/n*n)\/n**(-2\/15)*(n*n**0)\/(n*n**(2\/9)*n))**31 assuming n is positive.\nAnswer: n**(6727\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyfqyeyeffefyy. Give prob of picking 1 q, 2 f, and 1 e.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - 3 + 3)*(2 + 3 - 6)*(1 - 1 - 1).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 824 = 162*d - 653 + 505. Solve d*f - 161 = 29*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7831 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhvhhwhvhhhvvhhhh. What is prob of picking 1 v and 2 h?\nAnswer: 33\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the third derivative of j**9\/60480 - j**8\/13440 + j**6\/1440 - j**5\/480 + 5*j**4\/6 - 31*j**2. Let b(p) be the second derivative of l(p). Factor b(t).\nAnswer: (t - 1)**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1266673 (base 8) in base 7?\nAnswer: -3011143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 23*h**3 + 1320 - 1320 + h**3 - 3*h**2 in the form a*h + y + g*h**3 + s*h**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -125\/984 and -67\/1312.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 + 4*w - 3. Let n be u(-5). Let m be (-156)\/(-27) - 2\/(-9). Let x = m + -3. Solve -n*l - 4*o + x = 1, -5*l - o = 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 12:44 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 1, 0, -5, 4 in decreasing order.\nAnswer: 4, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**2 - 7*x - 6. Let s(l) = -5*l**3 - 2*l**2 + l. Let z be s(1). Let d be u(z). Differentiate -4 + 2 + d*m**4 - m**4 with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10217153*p**5 + 863720*p + 8 wrt p?\nAnswer: -204343060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dnohnontdthtthttd. Give prob of sequence to.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -455*w + 6*w**3 + 22*w**3 + 453*w to m*w + j + o*w**2 + k*w**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*i + 2*x + 5, -3*x - 9 = 3*i. Let g be i\/4*72\/27. Let y = -8 - -12. Which is the third biggest value? (a) 3 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 8*f**3 - 7*f**2 + 6*f - 1. Let l be u(1). Solve -26*i + l = -23*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -44 - 30\/(-12)*2. Let l = x + 81. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -3*a - a. Let d = 3 + a. Is d\/(-12) - (-235)\/30 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -e7e3e (base 16) to base 15.\nAnswer: -13b667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2969 - 797. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 6 = -2*d, 4*d + 3*a = -0*a + 12. Let m be (1 + d - 2) + 1. Find the second derivative of 2*t + 0*t + 2*t**m + 0*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the second derivative of 17*y**6\/144 - 7*y**4\/6 - y**2 - y - 18. Let p(f) be the third derivative of m(f). Let z(r) = -r. Calculate p(z(i)).\nAnswer: -85*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/((-525)\/14)*3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(32)*-2 - sqrt(32)) + 4)**2.\nAnswer: -96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.78 + 404.22. Let b = q + -477.4. Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 3*v + 5 = 0. Let a = 9 - 7. Suppose -2*w - 20 = 2*w. Sort w, v, a in descending order.\nAnswer: a, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120 divided by 91?\nAnswer: 120\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4513\/1449 + 72\/23. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*l**2*t + 11466*l**2 + 14770*l*t wrt l?\nAnswer: 6*t + 22932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gsg when three letters picked without replacement from {s: 4, g: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2\/100)\/((-6)\/(-15)))\/((-229)\/(-916))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) 11 (c) -4 (d) -6\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 140148 and 612?\nAnswer: 140148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k + 6. Let n = -21 + 17. Let r be c(n). Find the third derivative of 3*d**3 + 1 - 1 - 11*d**r + 5*d**2 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 230 = 2*u, -3*g + 6*g - 345 = -2*u. Let y(j) = 4*j + j**3 - 2*j**3 - 4*j**2 + 119 - g. Calculate y(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -33.1 + 35. Let a = h + -3.9. Let w = 4.1 - 3.1. Sort w, 5, a in decreasing order.\nAnswer: 5, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 20 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12730 - -18562. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(342)*-5)\/((sqrt(24) + sqrt(48)\/sqrt(2) + sqrt(24) + sqrt(24))\/sqrt(12)))**2 + -2 + (5*(sqrt(133) - sqrt(133)*-1))\/sqrt(7).\nAnswer: 10*sqrt(19) + 4243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-6*(sqrt(1008)*-2)**2 + (1 + sqrt(1008))*-3 + 2)*5*-1.\nAnswer: -241930 - 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 460 - 460. Solve l + 4*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d + 3*d**3 + d - 142*d**2 + 135*d**2.\nAnswer: 3*d**3 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.5 in 2, -3\/7, -118, 0.3202?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*g - 22*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/25, 5, 3\/5, -18, 0.4 in decreasing order.\nAnswer: 5, 3\/5, 0.4, -4\/25, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 - 13 + 7)*(-17*p - 46*p - 30*p - 51*p).\nAnswer: -864*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let a = 3855 - 26938\/7. Let o be 2\/(-4) + 1158184\/(-96). Let u = o - -12074. What is the common denominator of a and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1857 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1149066 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(26) - -6*sqrt(234))\/(2*sqrt(162) + sqrt(162) + sqrt(2)) + 2).\nAnswer: 8 + 19*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 = 5*c + a - 30, c - 2*a = 6. Let s = -6 + 2. Let p be -2*3\/s*14. What is the greatest common factor of p and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w**2 + 9707 + 39*w**2 - 9*w**2 - 9707.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1856 - -1016. Find the common denominator of (-1*2\/5)\/(112\/(-2340)) and (-2)\/6 - 721\/p.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10992 and 133296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gov when three letters picked without replacement from {x: 1, g: 2, v: 1, o: 1, l: 1, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + g**3 + 0*g**3 - 660*g**2 + 17*g**4 + 658*g**2 to the form y*g**4 + n*g**2 + f*g + j*g**3 + m and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + 3*g - g - 817, g = a - 162. Let f = a - 114. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18 is divided by -1 - (-2)\/(6\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6 + 16)\/((-4)\/(-2)). Suppose -40 = -p*f + 5. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 0 - 4458*m - 7 + 4455*m + m**2. Suppose 2*d = -0*c - c + 14, -4*c = -5*d + 35. What is the remainder when p(d) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -169139592 divided by -6.\nAnswer: 28189932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 27 (b) -1\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 - 1 = h. Let v be 5 + 10\/(-2) + 3. Solve v*a = 5*y + 4*a - h, 4*y = 2*a + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(1\/3))**(-1\/20)\/(v*v*v\/((v\/(v\/(v\/(v**0*v))*v))\/v)*v*v*v\/(v*v**(-5)\/v)))**(-33\/4))**(-17) assuming v is positive.\nAnswer: v**(-146047\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/(x**(4\/17)*x)*x*x**(-4\/7) assuming x is positive.\nAnswer: x**(23\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 27*m - 397 + 316 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -5 and 53795103?\nAnswer: 53795108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 - -2. Suppose 2*n - 6*k + 2*k = 18, 15 = i*n - 3*k. Suppose -1 = -n*m + 41. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 3*t + 5 - 3*t - 11 + t. Let s be r(8). Suppose 0 = s*b - 0*m + 2*m, 5*m + 5 = -4*b. Calculate the remainder when 9 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 492 minutes before 2:07 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -33 - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1678*k**3 + 473*k**2.\nAnswer: 10068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the first derivative of -4\/3*w + 4 + 5\/18*w**4 + 14\/27*w**3 - 2\/45*w**5 - 5\/9*w**2. Let y(q) = 0. Calculate q.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 6 = -4*i, 3*a + 4*i - 2*i = 2. Suppose a*o - 445553 = 978447. What is o rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q**(-2\/3))**(-9))**22)**(-26\/5) assuming q is positive.\nAnswer: q**(-3432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 29822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of p**4\/24 - p**3\/6 + 6*p**2. Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 18 = 4*z, 5*z + 4 = -2*w + 8*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17958710 is divided by 841.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.67 in 5\/2, 2.86, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -2689700, -5379400, -8069100, -10758800, -13448500?\n\"Answer: -2689700*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 15 + -23.1. Let i = -8 - d. Which is the closest to i? (a) 0 (b) 0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(-3\/7)*d*d)\/(d\/(d*d**(-1\/7)))*(d*d**8)\/d*d*d**(-4\/3) assuming d is positive.\nAnswer: d**(230\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -167*w**3 + 5*w + 17. What is the units digit of x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2540 divided by 4\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 14158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -93\/52118 and 52\/11.\nAnswer: 52118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56 = 3*a + 47. Let w(b) be the third derivative of 0*b**a + 0 - 1\/60*b**5 - 1\/24*b**4 + 0*b - b**2. Find the second derivative of w(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27683*v - 27680*v - 94 = -w, 5*w - v + 10 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 86 - 82. Let y be 90\/25 - g - 0. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1996398.\nAnswer: 2, 3, 197, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -246 - -341. Let z = 92 - j. Let s(n) = -5*n**3 - 5*n**2 - 2. Let r(i) = -24*i**3 - 24*i**2 - 10. What is z*r(g) + 14*s(g)?\nAnswer: 2*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes after 2:46 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -134248*m - 24970130. Determine y(-186).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 + 16\/(-6))*3. Let l be -2 + o + (3 - -10). Let u be -17 - (-5)\/((-20)\/l). Round u to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56082 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*w + 2*w + 15*w = 117 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-3\/8))\/s)\/s**(-2\/31))\/(s*s**(-5\/6)*s)**(-28) assuming s is positive.\nAnswer: s**(24073\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 56090591 + 7?\nAnswer: 56090598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2568 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12117460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 + -32a?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -9263.4?\nAnswer: -926.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0 + 3. Suppose c = 5*p - 16, 2*c = p + p. Solve -c = i*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 557, -4522, -1?\nAnswer: -4522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 32.3338386 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {z: 2, c: 2, k: 1, h: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -24\/7? (a) 5 (b) 0.04 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 + 8*h**2 - 10*h + 13. Let w be d(6). Solve -2*j + k = 4*k + w, k = -j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8487967435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 6. Let j be 6\/(-27) - (-4)\/18. Suppose -4*z - 15 + 3 = j. Put 0, w, z in descending order.\nAnswer: w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 75*w**2 + 373*w - 2. What is the remainder when g(3) is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1805.6*-22555.\nAnswer: -40725308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -86 - -7?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 6411.3906 - 6414. What is l rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*d - 74*d = 0. Solve -2*j = -2*i, 2*j + i + d*i + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5\/4? (a) 1\/3 (b) 1.8 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add 0.3924 and -41599.\nAnswer: -41598.6076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5 - -732584\nAnswer: 732589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -19578 = 571*m + 182*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99) + -1)*-4)**2 - 1*(3 + sqrt(99) - sqrt(99) - sqrt(99)).\nAnswer: -93*sqrt(11) + 1597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2196 and 51355872.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*p**3 + 13*p**3 + 11 + 4*p**3 - 51 - 7*p + 41 to the form g*p + b*p**3 + s*p**2 + d and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -44014 - 111?\nAnswer: -44130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2702182 to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) be the second derivative of -d**4\/12 + 2*d**3\/3 + 2*d**2 + 206*d. Give y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*m = 51*m. Factor m - 2\/15*j**2 + 8\/15*j.\nAnswer: -2*j*(j - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(2736) + -1 + -5 - 5*(sqrt(2736) + -1))**2.\nAnswer: 96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -2*n - 59. Let x be v(-32). Let m = 79 - 78. Sort x, -8, m.\nAnswer: -8, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -4. Differentiate 0 + s*a**2 + a**2 - 4 with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*v + 1 + 75 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1117 - -1174. What is the least common multiple of r and 99?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -6, 6, -83855, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 13808351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -99525, -199055, -298607, -398181?\n\"Answer: -11*x**2 - 99497*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/24935 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4462 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/4)\/(31\/((-26784)\/1458)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 2*d - 22 = 2*t, -20 = -4*d - 2*t. Let z(a) = -a + 29. What is the remainder when z(-9) is divided by d\/(-27) + (-92)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2763 - 1382 - 1347*m - 1381 to t*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -758*l + 84*l**5 + 7 - l**3 + l**3 + 757*l wrt l?\nAnswer: 1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from basabavbarls. Give prob of picking 1 b, 1 v, and 2 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 4*o - 2384 = 0, -86*h - 2*o = -84*h - 950. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 2*x - 61002 = 0. Let k = -3820 + x. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 16 and 1072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/12 and 97\/7346.\nAnswer: 44076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g - 3*t + 41, 0 = -g - 23006*t + 23002*t + 42 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/18*4\/(-22). Let m = -8\/33 - s. Let x = 3.2 - 2.2. Which is the third biggest value? (a) -0.3 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*t**4 + 0*t**4 - 2*t**4 + (0*t - t**4 + 0*t)*(5 + 2 + 0) + (t**3 + 0*t**3 - 3*t**3)*(3 - 2*t + 3 - 4).\nAnswer: -8*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (18\/(-27))\/((-4)\/(-6))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1850 - 1290. Suppose 2*x + 1389 = 3*t, -3*t - k = x - 1940. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8542380, -8542379, -8542376, -8542371?\nAnswer: -8542364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Calculate 1954 - 2092 - ((-28 - -1) + -3).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((3 - 0) + -2)\/(1\/(-145)). Let p = i - -151. Let q be 59 + (1 - (-18)\/p). Calculate the highest common factor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16990, -3, -132, -5, 6 in descending order.\nAnswer: 16990, 6, -3, -5, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 338.184 or -3?\nAnswer: 338.184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, a: 2, f: 2, z: 1, q: 3, o: 7}. Give prob of sequence mo.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2519 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-2))\/((-141)\/1128).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16346 - -16363. Calculate the remainder when (5 - 72)\/((-1)\/3) is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t**2 + 2*t + 4\/7*t**3 - 4\/7 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2653186102 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1911)\/(-28) + 4\/(-16). Suppose -60 - r = -2*n. Calculate the remainder when n is divided by ((-20)\/(-2) - -4) + 2 + -3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -246 + 366. Suppose 3*s + 2*i = w, 16 = -s + i + 56. What is the highest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-28)*(4270\/(-780))\/(-61)*3.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8300205ng in milligrams?\nAnswer: 0.0000008300205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of u**4\/4 + 2*u**2. Let q(w) = -w**3 - 2*w**2 - 2*w - 3. Let x be q(-2). Calculate n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1937*v + 2 = -4*k - 1939*v, 5*k + v - 11 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 159353 or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 31 + 1517719*o**2 - 1517723*o**2.\nAnswer: -4*o**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32793 divided by 1.\nAnswer: 32793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from qqqffqqqqqqqqqf.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-3\/5)\/((a**(-2\/9)\/a*a*a*a)\/a)*(a\/a**(-2\/7))**(1\/12) assuming a is positive.\nAnswer: a**(-1601\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 6 - 81?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(80)*4 - (sqrt(500)*2 + sqrt(5)) - (-1*sqrt(80) + sqrt(80))*3)*-1.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 10137 + -782?\nAnswer: 8245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**5\/a)\/a)**(-36) assuming a is positive.\nAnswer: a**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 26877 - 15777. Is j a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -2. Let k(o) = 2*o - 44. Determine -k(y) + 12*w(y).\nAnswer: -2*y + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, s: 18}. What is prob of picking 4 s?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4298103, 8596206, 12894307, 17192406, 21490503, 25788598, 30086691?\nAnswer: 34384782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 divided by 49014.\nAnswer: -1\/3501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 24*q - 22*q - 2*r, q = -4*r + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(396)*-4)**2 + 5 + sqrt(396))*2*5.\nAnswer: 60*sqrt(11) + 63410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of -35*y**2 + 135\/2*y**3 + 0 + 1\/300*y**5 + 0*y - 3\/4*y**4. Factor p(w).\nAnswer: (w - 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 3 t when four letters picked without replacement from lttttllllllltttltt.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - b + 20 = 0, 0 = -4*c - 32*b + 37*b - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/1032387 and 50\/15953.\nAnswer: 7226709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -2320*p - 1501*p + 708*p - 62509 = 564*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -10*b + 4*b**2 - b**2 - b**3 + 8*b. Suppose 3*p - 15 = -0. Suppose 1 + 14 = p*f. Give l(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.01 - 3.49. Let g be 0 - (4\/(-8))\/(-1). Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/3*-3*(-3)\/135?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -185*n**3 - 3*n**2 - 9*n - 11. Let h(g) = -93*g**3 - 2*g**2 - 5*g - 6. Let y(l) = 4*f(l) - 7*h(l). Is y(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes before 4:09 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 85 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a and 1 k when four letters picked without replacement from aaarkxaaxkaa?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 3*p - 2*p + 6, -18 = m + 5*p. Let w = 11366 + -11362. What is the closest to m in w, 0, 2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 + 6*k**2 + 16*k + 103. Let o be q(-6). Solve -o*z - z - 24 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -1\/2, 1\/12, 0.4, 1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1876 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6\/109 + -272\/981. Which is the closest to -1.1? (a) f (b) -5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from {s: 1, k: 12, m: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -6*x - 98 + x**2 - 97 + 189. Let t be v(7). Is 3 a factor of (t - 16 - -3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2 + 2*o - 29. Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 3*g + 3*b + 25, 4*b + 5 = -g. Let a be (10 - 2) + g + 2. Let o(n) = -n**3 + 7*n**2 + 3 - 2*n**2 - 9 + n. Give o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*g = 39*g - 33. Let x = 43944\/43 - 1022. Which is the closest to -0.1? (a) 1 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 PM and 7:36 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 8) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185 + 521 = 4*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -11965, -11842, -11719, -11596?\n\"Answer: 123*m - 12088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 308 - 356. Which is greater: -51 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 9*c + 4109. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 + (-15)\/(-3))*(5 + -2). Solve -v = -i*l + 6, 17 = -3*l + 5*l - 5*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 855059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -40*b - 875. Let v be u(-41). What is the greatest common factor of 85 and v?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4126 = 4*i - 5*t - 381, 4*t - 3357 = -3*i. Is i a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from hihhhccccihcccc.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 247 times 2.49\nAnswer: 615.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 58*c**3 + 22*c**3 + 28*c**3 + 2*c**4 - 10*c - c**4 + 5*c in the form l + v*c**3 + g*c**2 + n*c**4 + s*c and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 37128577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.002 - -3.302. Let o = 3 - z. Let w be (50 - 54)*(-1 + 0). Put w, o, 0 in decreasing order.\nAnswer: w, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8168.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**2)**(1\/5))**(7\/3))**(8\/3) assuming w is positive.\nAnswer: w**(112\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be 224\/36 - (-12)\/(-54). Suppose -18 = -v*u + 72. Solve -5*k + u = 4*z - 3*z, k - 2*z + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7\/4*k**2 - 1\/2 + 9\/4*k.\nAnswer: -(k - 1)*(7*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 3*l + 8. Let x = 1 - l. Let m = 5.6 - 6.6. Which is the closest to -2\/7? (a) m (b) 2\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + s - 4 = -2, s + 6 = u. Let h(g) = -2 + 4 - 3. Let z(x) = x + 6. Suppose 0 = -4*t - 0*t + 44. Determine t*h(l) + u*z(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify t*t*t\/(t\/(t*t**(1\/3)*t))*t*t**5*t**(9\/5)\/(t*t**(-15)) assuming t is positive.\nAnswer: t**(392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**2 - 2*t - 1. Let n be c(2). Let p = -2 - n. List the prime factors of (-33)\/(-4) + p\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/3 + (-4)\/(-12). Let l be i*3\/(12 - 0). Put -3, l, 3\/4 in ascending order.\nAnswer: -3, l, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4.6 - -5. Let v = 138328 + -138324. Put v, 6, -4, h in descending order.\nAnswer: 6, v, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.755006988 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 5*o = -22358, -6*j - 12*o = -3*j - 33615. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 21*s - 243 - 23*s + 243. Let u(v) = -15*v**2 - 37*v. Determine g(u(n)).\nAnswer: 30*n**2 + 74*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1748 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1 + 2 - 8 - (51 - 55)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 PM and 12:38 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55, -319, -1025, -2395, -4651, -8015, -12709, -18955?\nAnswer: -26975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 427 is divided by 136?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9 and 5354883?\nAnswer: 5354883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -544931*p**2 - 3*p - 649056.\nAnswer: -1089862*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seventy-seven fifths of a second?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32396 + -97186\/3. Factor -2\/3*a + 2\/3*a**4 - 2*a**2 + 4\/3 + y*a**3.\nAnswer: 2*(a - 1)**2*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 24 = 3*v, 39637 = -3*v - o + 39623 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7 + -5. Suppose 2*o - 4 = 3*k + 2, 4*k = -o + 3. Suppose -j = v - o. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in -1\/8, 27, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 255 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -83.8 and 0.3?\nAnswer: -25.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 156515 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that 359*v**4 - 1793*v**3\/2 - 1441*v**2\/2 + 1073*v\/2 + 3\/2 = 0.\nAnswer: -1, -1\/359, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 5*v = -5, 5*v + 11 = -4. Suppose x*t = 4*i + 44, -2*i - 3*i = 3*t - 33. What is the remainder when t is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2109 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 50 - 41. Suppose -a = -5*o + 1. Solve 0 = -5*v - 5*w - 5, 4 = o*v - w - 3*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 + -13. Let i = p - -7. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 347241163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z = 6*z + 9. Suppose -w - z*w = -60. Let r = w + 18. Calculate the highest common factor of 363 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*q + 86*q + 15228 = -12*q + 321*q for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 5, 16, -2, 2 in increasing order.\nAnswer: -9, -2, 2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + -4 + 9 - 1. Let y be 22*((-9)\/l - -2). Calculate the greatest common factor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -328 - -489. Let w = 171 - j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4138751 is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -7*j - 3*l + 12, 4*l - 16 = -3*j. Suppose 4*h - 33 + 13 = j. Solve -h*c + 35 = 3*g, -c = 5*g - 14 - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -42.3 - -41.3. Sort 4, -2, u in ascending order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 5, c: 4, a: 3, t: 1}. Give prob of picking 1 c and 2 m.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.00532 and 0.5.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 8707.\nAnswer: -4353.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 + 2*b**2 - 2*b - 2. Let j be n(-2). Suppose -7*w = -j*w - 5. Is -46*w*2\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of -35\/3*v**3 + 5\/4*v**4 - 23 + 10*v**2 + 60*v. Factor b(w).\nAnswer: 5*(w - 6)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 4 = 3*y - 2, 2*f = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 37 = 4*i + 5*r, -8*i + 5*i - 6*r = -30 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/18 - (-1)\/1\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: a7 (base 15) to base 8\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 371 - 372. Let l = 85 + -60. Let x be 33\/(-15) + (-20)\/l. Which is the second biggest value? (a) n (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 10*l = -6468. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kstttssktsskt. What is prob of sequence tt?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*u + 10\/3*u**3 + 0 + 8\/3*u**4 + 2\/3*u**5 + 4\/3*u**2.\nAnswer: 2*u**2*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnwkuukngkgwuwnuu. What is prob of picking 1 u and 1 g?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -5 times -898\nAnswer: 4490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 4 = -j, -h + 5*j = -957. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) be the third derivative of -x**6\/1260 - 2*x**5\/105 - 4*x**4\/21 + 5*x**3\/2 - 7*x**2. Let j(v) be the first derivative of w(v). What is g in j(g) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.6355 and -9.8?\nAnswer: 6.2279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 22, 5, 84 in descending order.\nAnswer: 84, 22, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 7 (base 15) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + p = -1, -4*q - 6546 + 6532 = -5*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 29*w + 83. Let h(u) = 11*u + 28. Give -8*h(l) + 3*v(l).\nAnswer: -l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -1\/5, -1, -7, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/((-3)\/(-4)))\/(59\/(1534\/260))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 181\/11220 and 83\/1224.\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8266912\/783 - -10558. Let d be (383\/72)\/((-174)\/188). Let x = d - a. Calculate the common denominator of x and -53\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 22 = -2. Suppose -25 = 5*r, -q*k - r = 119 + 111. Let s = 77 + k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7440556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -7*k**2 + 9*k - 9. Let a be q(4). Find the common denominator of 62\/9 and 3 - (a\/(-105) + 0).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5412 divided by -37351.\nAnswer: 132\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 15146*c**2 - 15152*c**2 + 4*c - c**4 - 15*c**3 - 2*c + 36*c**3 in the form z*c**4 + h*c**2 + l*c**3 + u + t*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*i + 59 - 59 + 35*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -13360*h**2 + 13088*h**2 - 1 - h - 5*h as t*h + k + g*h**2 and give g.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - 30013101?\nAnswer: -30013033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -11*f + 17. Let s be c(-5). Suppose u = 132 + s. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(13\/(468\/12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 9 = m, -m = -6*m + 5*u + 95. Calculate the lowest common multiple of m and 15\/35 - (-469)\/49.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -4*p + 5. Is (p\/(-2))\/(2 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 + -11. Let r(i) = i - 114. Let u(y) = -10*y + 1235. Let c(s) = -65*r(s) - 6*u(s). Give c(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + -0.092559\nAnswer: -3.092559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 6114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/3262248 and 29\/3624720.\nAnswer: 32622480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 3*k**2 - 3*k + 4. Let y(h) = -3*h**2 + 4*h - 5. Calculate 3*v(i) + 2*y(i).\nAnswer: 3*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*y + 9. Let b = 4 - y. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 262*s + 7. Let j be w(1). Suppose 0*g - 175 = -3*n + 5*g, 5*n + 3*g = j. Calculate the highest common factor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y = -12*v + 44, -10*v + 12*v - y = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -98, 3\/7, 0.64, 5\/6 in descending order.\nAnswer: 5\/6, 0.64, 3\/7, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -j - x, 4*x = -5*j - 12 + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1619209 bigger than -1619248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -595*u**3*x**3 - 26*u**2*x**3 + 3*u**2 - 2*u*x wrt u?\nAnswer: -3570*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n**4 - 52*n**3 - 130*n**2 + 208*n + 552 = 0. What is n?\nAnswer: -23, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-432)\/(-126))\/(2\/7). What is the highest common factor of b and 2568?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6948 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: Let n be 104\/12 - 2\/3. Suppose 9*p - 44 = n*p. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 - 4*q**2 - 6*q + 6. Let n(k) = 18*k - 31. Let a be n(2). Give z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 84407769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-17)\/(-5) - 1)*5. Let t be (-90)\/(-14) + -11 + 810\/70. Let z = c + t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence teo when three letters picked without replacement from {o: 2, t: 6, e: 11}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qpqocqcqppccjpqpd. Give prob of sequence pc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2404857 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 4211*h**2 - 637*h - 9071. Is j(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134278 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: What is the ninth root of 23825789 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -1\/116290?\nAnswer: -1\/116290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -873605288*h**4 + 1047555962 with respect to h.\nAnswer: -3494421152*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 656 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-30))\/((-3)\/72*-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-3*sqrt(147)*4 - (((-2*sqrt(147) - sqrt(147)) + -5 - sqrt(147) - sqrt(147)) + sqrt(147) + sqrt(147) + -2 + 5))**2*-1.\nAnswer: -699871 + 1932*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*o = 2*c - 2437, 5*c - 10*o = -15*o + 5900. Which is smaller: c or 1177?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, s: 1, u: 1, e: 2, z: 1, f: 1}. What is prob of sequence zf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.6735801l?\nAnswer: 673.5801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 2*c**2. Let z(r) = -665*r**2 - 6*r. Determine 11*p(u) + z(u).\nAnswer: -643*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 560 and 526896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 29*k**3 + k**2 - 2*k + 1. What are the prime factors of t(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 137602 and 129898.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - -9. Suppose -2*g + 28 = x. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33987814 is divided by 16993904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 + 8*r**2 - 6*r - 10. Let x be q(7). Calculate the remainder when (-137)\/x + 40\/(-15) + 2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 231*j + 6481 + 5117 = 2127 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is ((-6)\/(-4) - 9665\/4)*(165 + -169) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llzv when four letters picked without replacement from {r: 3, b: 3, v: 4, l: 5, z: 4}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -61374*m - 2*f = -61371*m - 2, 0 = 55*m + 5*f + 185 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 4901 divide 2827014899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -199 smaller than -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 21.94 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 866750294?\nAnswer: 2, 433375147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/385461 and 5\/1287?\nAnswer: 55120923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 3*f**2 + f - 2. Suppose 4*m - 16 = -4. Suppose 5*o - p = -m*p + 21, 0 = 4*o + p - 15. Calculate l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*q - 4*w, -2*q + w = -2*w - 9. Is 9208\/12*q\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 101 - 96. Suppose 5*j = 3*h - v + 4, -2*h = -4*j. What is the closest to -2 in -5, 4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-698)\/132)\/((-195)\/(-321)). Let c = g + 2\/429. What is the common denominator of c and -47\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 - 4 = 3*b - 4*x, 3*x = -2*b + 4*x + 11 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 98830243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -110.95299 times 5\nAnswer: -554.76495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 227905996*h**2*x**2 - 224039*h**2 - 2*h - 642*x wrt x?\nAnswer: 455811992*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 2:23 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -d - 0*d + 3*o + 2, -o - 18 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -n**2 - 65*n - 351. Let y be f(-6). Sort 0.2, -2\/5, 0.5, y, 1\/75 in decreasing order.\nAnswer: y, 0.5, 0.2, 1\/75, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 69894772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -254946110 to the nearest one million.\nAnswer: -255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - -3. Suppose -2*x + 0 = -10, -g*x = -2*o - 29. Let n be ((-10)\/(-4))\/(-5) - -1. Which is the nearest to n? (a) 5 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 28 - 23. Let j = -1.8 - -1.9. What is the closest to j in 1\/2, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k + 1. Let w(t) = -t**2 - 10*t + 12. Let f be w(-11). Let p be a(f). Find the third derivative of 3*v**2 - v**2 - 11*v**p + 12*v**3 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*d**5 + 2295*d**4 - 3522*d**3 - 5088*d**2 + 3168*d + 3072 = 0 for d.\nAnswer: -32, -4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -1. Let w = -3 - r. Which is the smallest value? (a) 0.5 (b) -5\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of k**5 - 50715*k**4*p - 333*k**4 + 29*k**2*p - 5*k**2 + 32*k*p + 101*k - 7*p - 2 wrt k?\nAnswer: 60*k**2 - 1217160*k*p - 7992*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25*f - 37*f + 9*f to b*f + g and give b.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.4 - 0. Let c = 73889.5 + -73890. Sort -14, c, u in descending order.\nAnswer: u, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -627*t**5 + t**4 - 2*t**3*u + 3*t**3 - 28*t**2*u + 13*t**2 wrt t?\nAnswer: -37620*t**2 + 24*t - 12*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -3*s**2 - 31*s - 9. What is the units digit of q(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -80938048 divided by -20234512\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 29502 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8.13 + -4.13. Put -5, 17, h in ascending order.\nAnswer: -5, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 32200\/187 and 173 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 72, 79, 90, 105, 124, 147, 174?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d**3 - 6*d**2 - 9*d + 17. Let p be o(7). Suppose -p*v + 2*v - 5*m = 7, 5 = 5*m. Let l = 1 - v. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**1\/f)**(-2)\/(f*f**0)**(-1\/2) assuming f is positive.\nAnswer: sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12.262 - 0.262. Sort r, -4, -0.4, 4\/5.\nAnswer: -4, -0.4, 4\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 59587392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22 + 21.6. Which is the nearest to -2\/5? (a) 1 (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1134*n**3 + 2*n**2 + 3822*n**3 - 7*n + 14*n + 2662*n**3 - 8*n to the form g*n**3 + a*n + k*n**2 + f and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - ((-4 - (14 - 2 - 9)) + 12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 51736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 12 = 0, 2*u - 9 - 16 = -3*x. Let b = x + -11. Suppose -d - 4*p + 7 = b, 3*p - 66 = -4*d + d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3 - -3 - (-20 - -26). Let v(c) = c - 13. Determine v(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95*v - 5*r - 24 = -97*v, 0 = -4*v - 2*r. What is c in 12*c + 6 - 9\/2*c**3 + 3\/2*c**v = 0?\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i - 4 + 46 = 0. Find the common denominator of 61\/30 and (i\/64)\/(-1)*6328\/(-252).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.2 (c) 2\/13 (d) 0.3 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12\/5 - 41\/15. Let w = 0.9 + 4.1. Put -0.4, w, p in descending order.\nAnswer: w, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 264.08 + -269. Let l = b + -0.08. What is the smallest value in l, 1\/3, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - q = -1 - 56, 4*q = 0. Suppose 5*o - 2 = -4*u + 5, 5*u = 4*o + b. Let j = u - -1. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 644686 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1431.457 + 1431.4. Is w at least as big as -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7803.654km to meters.\nAnswer: 7803654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 11*u - 558. Let z be r(-9). Is z != 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8\/((-32)\/(-1996)) - 2*2. Let o = d + -329. What are the prime factors of o?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -18*m**3 + m**2 - 1. Suppose 2*r - f = f, 2*r + f = -3. Let y be i(r). Suppose -x + y = -1. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5312927*y**2 + y + 142 + 278 - 5312928*y**2 as d*y + h + p*y**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -5*d + 37. Let a be l(7). Suppose -3*p + 9 = n, 3 = p + 4*n - a*n. Solve -1 = -p*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 - (1 + -2)*-1. Let k be 14999999 + (-3 - -4)*s. Suppose 3*h + l = -15000000, k = -3*h - 0*l - 5*l. What is h rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 1880 = 5*v, -4*v + 36 - 52 = 0. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*v + 7*v + 5. Suppose 3*c - 11 = 3*f - 2, c = 4. Let z = f + -3. Sort z, 0, v in decreasing order.\nAnswer: v, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 21434230 (base 8) to base 16\nAnswer: 463898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.36 - 0.04. Suppose 0 = 4*c - 2*c - 6. What is the second biggest value in 5\/4, c, h?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -62 + 87. Suppose 2*p = p + m - 5, h = 3*p + 5*m. Let v(r) = -r**3 + 13*r**2 - 8*r - 42. Let t be v(12). Sort t, p, 3, 5.\nAnswer: p, 3, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-129 + -1)*2*506\/88. Round v to the nearest ten.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1496 and 23152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 - 6*k + 1. Let v be x(5). Let j = v + 4. Solve -6 = -2*g - j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 23*q - 5. Let x(d) = 23*d - 6. Let u(z) = -5*a(z) + 4*x(z). List the prime factors of u(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1173)\/3519)\/((-21)\/(-144)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 654 - 632. Calculate the greatest common factor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 28 - 14. Suppose -4 = -6*m + k. Is (-864)\/(-81)*m\/(-4)*-14 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 116 - 101. Let g = 5 + w. Solve 3*h + 2*h = -g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -81 divided by 45503\nAnswer: -81\/45503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9 + 4. Let g = 8 + h. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the second derivative of 18*o**3 - 23*o. What are the prime factors of q(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 176231959?\nAnswer: 1307, 134837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*p + 33 = -1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/17? (a) -135 (b) -0.3 (c) 3 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 434 and 1792?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 - 8*p**5 + 4 + (2 + 1 - 4)*(4*p + 2*p**5 - 4*p) - p**5 + 3*p**5 - p**5 + (4*p - 2*p + 0*p)*(p**4 + p**4 - 4*p**4).\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4537 = -48*a + 212*a + 219 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 2175*r**3 + 3*r**2 - 213*r + 418. Is 45 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 19312341 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -0.034.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bkqkttkpbkybtt. Give prob of sequence ypt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -63\/5 and (-2)\/(-19) - (-23803)\/1482?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 395323 - 58731 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 4*f**3 - 4*f**2 - 4*f + 4. Let u = -13 + 17. Let i(k) = k**2 + k - 1. Determine u*i(a) + d(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1590 divided by 5?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - (8 + -26)) + (1 + -6 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 - 100100000011000111?\nAnswer: -100100000011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 108*n = 111*n - 3, 3511 = 3*i + n. What are the prime factors of i?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 660659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve p**3 + 5735*p**2 + 441398*p + 859864 = 0.\nAnswer: -5657, -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of 3*s**7\/70 - s**6\/30 - 11*s**5\/30 - 3209*s**4\/24 + s**3\/3 + s**2 - s - 161. What is the second derivative of v(u) wrt u?\nAnswer: 108*u**2 - 24*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -9*w**2 + w + 101. Let d = 127 + -127. What is the remainder when m(d) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41 + 28 - (4 + -5 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zzzvzzzzzzzzz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -2*b**2\/5 - 8*b + 42\/5 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0555162 weeks to days.\nAnswer: 0.3886134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**3 - 4*v**2 + 2*v - 3. Suppose -4*o - y + 13 + 0 = 0, 5*y = o - 19. Let z be q(o). Let f = -3 + z. Solve -9 = f*a + 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 24 = 3*r, -2*t = -5*r + 2*r + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ouonweknuuek. What is prob of sequence ueku?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/(-2))\/(2\/20). Suppose 0*c + g = 3*c. Suppose -4*p + 5*d + 113 = -112, c*d = -5*p + 270. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*g + g - 3*g)*(3*g + 5*g - 5*g).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 48785 (base 9) to base 16.\nAnswer: 7fd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -393 + 787\/2. Let i = 1\/73 + 215\/292. Factor s + 1\/4*c**2 + i*c.\nAnswer: (c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 4*q**3 + 6*q**2 + 7*q + 5. What is the units digit of f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3 + 23028458*r**2 - 46056913*r + 23028456.\nAnswer: -(r - 23028456)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34924.\nAnswer: 2, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - -1) + 60 + -65.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 9, 38, 95, 186, 317?\n\"Answer: w**3 + 8*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -41 (base 7) in base 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 147 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.027 and 0.0608.\nAnswer: -0.0016416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/(3 + (-56)\/20). Let q = l - 16. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 34626, 11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*m - 45*m**2 + 39*m**2 + 79*m**2)*(-5*m**2 + 2*m**2 + m**2) to c + o*m**4 + b*m**3 + g*m + x*m**2 and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1926711*b**4 + 245*b + 4339 wrt b?\nAnswer: 23120532*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4305599984\/208 + (-38)\/13 + 3. Round f to the nearest 100000.\nAnswer: 20700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 2049, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.0946 - -4.9054. Let m = 2 + -3. Let p be 6\/22*(-3)\/(9\/2). Put p, j, m in decreasing order.\nAnswer: j, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1187 + -1.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -11010001010011100011 (base 2) in base 13?\nAnswer: -2402b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -9*o - 18*o - 2*o + (1 + 1 + 0)*(-3*o + 1 - 1).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-3 + 3)\/(3 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wowuuuubwutgu. Give prob of picking 2 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 280 divided by -35\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8.24 + -10.61. Let s = y - -1.37. Put s, 4\/5, 0.5 in descending order.\nAnswer: 4\/5, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 0 + 7 + 5 + (6 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-4)\/(-6))\/(-1))\/(28\/315*199\/(-2388))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = g**3 - 24*g**2 + 18*g + 124. Let r be y(23). Let u be (5 + r + -15)\/((-2)\/752). Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/7*(157\/24 - 8). Let z(k) be the second derivative of 0 - 3\/4*k**5 - 1\/6*k**6 + 5*k**2 - j*k**4 + 5\/2*k**3 + 2*k. Solve z(w) = 0 for w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 12:05 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 2, -185*p = 3*w - 190*p - 809. What is the remainder when w is divided by 85?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -31 - -70 - (-2 - -3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l + 3*i + 126 + 1274, 4*l - 2*i - 5590 = 0. Is l at most as big as 1398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17 - 13. Solve -2*z - 12 = -0*j - 2*j, -21 = -w*z - 5*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 81\/1089340 and -51\/469588.\nAnswer: 589332940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1003 and 4685302.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 28019729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: How many years are there in nine tenths of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*w + 154 = -10*w. Suppose 153 = 7*s - 4*s. Calculate the remainder when s is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -173005\/24 - -7203. Find the common denominator of (-12)\/(-15) + (-966)\/495 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 27272 + -27164. What is the highest common factor of u and 4248?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r + 4. Let j be (-2)\/((-34)\/(-10) + -3). What is g(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lllz when four letters picked without replacement from {z: 11, l: 3, i: 1}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(7) - sqrt(14)\/sqrt(2)) + 5 + 5 + sqrt(14)\/sqrt(2) + (sqrt(7) - sqrt(14)\/sqrt(2) - sqrt(7)) + 1)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -30929574619\/10*b**3 - 4\/5 - 18834\/5*b - 29559963\/5*b**2 = 0.\nAnswer: -2\/3139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**3 + 4*u**2 + 43*u - 194. Calculate k(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -4*c, -5*q + c - 6*c = -110. What is the remainder when 820\/15 - (-1)\/3 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-30)\/(-55))\/((-59)\/((-22066)\/68))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*i + 1. Suppose p = 5*m - 476 + 393, -m - 5*p + 53 = 0. Is i greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (0 - (1 - (3 - -1))) + (-103 - -99)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 818 by -87.\nAnswer: -818\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of -317*a**5\/20 - 2*a**3\/3 + 39*a**2 + 329*a. What is the second derivative of o(j) wrt j?\nAnswer: -1902*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z**(18\/5)*z)\/z)\/(z*z**(-41)))\/(z**(-4))**(-1\/4))**24 assuming z is positive.\nAnswer: z**(5112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1572 is divided by 198.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -182*t - r + 4185, 2*r + 607 - 520 = 4*t + 7*r for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 33\/(-22)*480\/(-54)*9\/3\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/4)\/t)**(-2\/49)*t*t**0*t*t**(-1\/5)*(t**(-1\/2)\/t)**43\/(t**5\/t**4) assuming t is positive.\nAnswer: t**(-15594\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 83.03355m?\nAnswer: 83033550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -99 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 50*p**2 - 36*p**4 - 40*p**4 + 77*p**4 + (29*p**2 - 6*p**2 - 6*p**2)*(0*p**2 + 5*p**2 - 4*p**2) as h*p**4 + w*p + c*p**3 + x*p**2 + g and give x.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -183*k + 508 - 882 = 358 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/138)\/(531\/708).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) 5 (c) -150 (d) 3 (e) 0.03 (f) -7.883\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 divided by 4101.\nAnswer: 32\/4101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -47 - -86. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 276238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes before 8:15 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2001 divided by 1?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m**3 - 15*m**2 - 43*m + 26. Let a be p(19). Let z = 658 - a. Solve -12 = z*b + 2*h, -3*h + 5 + 0 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 5, 4, -2\/7, 27 in decreasing order.\nAnswer: 27, 5, 4, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 10) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -22*b + 3. Let i be h(-6). Suppose u + i = 6*u. Solve -s + 3 = -k - 3*s, -4*k + 5*s + u = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 233117951 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -137*t**4 + 2*t + 134*t**4 - 50*t**2 + 5*t**3 - 3*t**3 - 4*t**3 to y*t**3 + m + h*t**4 + v*t + z*t**2 and give z.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -2*v**2 - v**2 + 5*v**2. Let q(g) be the third derivative of 6*g**2 + 0 + 0*g - 1\/8*g**4 + 0*g**3. Give q(f(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*z + 0*z + z)*(-2 - 11*z + 7 + 26 - 59 + (-3*z + 3*z + 2*z)*(3 + 0 - 5)) to r*z**2 + o*z + v and give o.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -278063.7 and -25172807?\nAnswer: 24894743.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 4072, 2\/25 in descending order.\nAnswer: 4072, 2\/25, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) be the second derivative of x**7\/21 - 2*x**6\/3 - 27*x**5\/10 + 14*x**4\/3 + 92*x**3\/3 + 48*x**2 - 595*x. Determine w, given that i(w) = 0.\nAnswer: -2, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5531 - 8043. Let o = c + 3795. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -555 - -607. Suppose -79*y + 108 = -n*y. Solve -y*z = -2*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -78*(140\/15)\/(-4). Suppose 2*r + 3*h = 77 + 61, -288 = -4*r - 3*h. Let q = f - r. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*(u*u\/(u**6\/u)*u*u)\/u*(u**(-3\/5)\/u)\/u*u)**(-3\/17)*(u**(4\/5)\/u)\/u*u*u\/u**2*(u**1)**(-7\/11) assuming u is positive.\nAnswer: u**(-1288\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -1*sqrt(180) + 0)**2 + ((3*(2 + sqrt(180)))**2 + sqrt(180) - sqrt(180))*-4.\nAnswer: -6443 - 852*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 230345 and 5865?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -12, -86, -158, -228?\n\"Answer: l**2 - 77*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4628305, 4628307, 4628309, 4628311, 4628313, 4628315?\n\"Answer: 2*x + 4628303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 2*n**2 + 6*n + 1. Let f be c(-3). Let b be (-12)\/(-12) + f*16. Solve v + 2*v = l - b, 4*v + 6 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, x: 1, a: 4, o: 6}. Give prob of picking 1 r and 2 o.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3954448 to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27 - 27.0000069. Round m to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.3*-75.46827.\nAnswer: -98.108751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 16696910 times -0.3\nAnswer: -5009073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 191*o + 110*o + 262 = -340. Sort -4, o, -459 in decreasing order.\nAnswer: o, -4, -459","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -5*h**5 + 5*h**4 + 30*h**3 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**4 - h + h)*(-1 - 1 + 3 + (-2 + 0 - 1)*(6 + 3 - 2)).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 8:57 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13 - -1. Suppose 0 = v*o - 49 - 7. Solve o*c = -8 - 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -2962.6 * -30470\nAnswer: 90270422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54\/(-152) + 8\/32.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28083 is divided by 2337?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2, -1, 2, 7, 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, -7793, -2 in descending order.\nAnswer: 31, -2, -7793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 65 is divided by ((-24)\/(-6))\/(6\/51).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/(-21)*-9 + -8 + 10710\/(-245).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2*3\/48 + 0. Let q = -37 - -36.67. Let y = q - -0.32. What is the nearest to y in -0.1, -1\/5, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -35*c - 14*c + 79*c + (-2 + 0 + 5)*(-2 + 2 + 2*c).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/8? (a) 1 (b) -5 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-182))\/((-29568)\/(-16016))\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 12*x - 36. Let k be p(9). Suppose 73*o - k*o = 55. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 8894 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -4*k**2 - 4*k + 24. What is z(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 2*i**2 - 84*i. Let g(b) be the first derivative of 15*b**2 + 1644. What is g(q(p))?\nAnswer: 60*p**2 - 2520*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = -4*p - 36, 0 = 1190*p - 1191*p - 13*a - 62 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/49876 and -57\/8140.\nAnswer: 2743180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor d**2\/10 + 171341*d\/10 - 17411716\/5.\nAnswer: (d - 203)*(d + 171544)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 351939.0542 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 772353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1852219 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 9 + (2 + 17 + -8 - 4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lfl when three letters picked without replacement from {l: 7, f: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/6*(60\/8 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -42*-5764912\nAnswer: 242126304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 74 - 79. Let v(x) = x**2 + 7*x + 5. What is v(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4124209?\nAnswer: 31, 133039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) be the second derivative of 479*p**7\/14 - 41*p**3\/6 + 175*p - 2. Find the second derivative of h(c) wrt c.\nAnswer: 28740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 236 - 1891*t**2 - 30*t**3 + 1878*t**2 + 32*t**3 to o*t + l + s*t**3 + y*t**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d + 84. Let i(w) = 2*w**2 - 94*w. What is z(i(k))?\nAnswer: 2*k**2 - 94*k + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.11 - 0.29. Which is the closest to -0.3? (a) 1 (b) -2\/17 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/2985, -105, 1\/3, -3, 2?\nAnswer: -2\/2985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/145*((-1425)\/50 + 31)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(112) + (sqrt(112)*2 - sqrt(112) - sqrt(112)))\/sqrt(2) + sqrt(56))\/(sqrt(8) + -5*sqrt(128)).\nAnswer: -2*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76 + 31 = -15*v. Solve v*i - 15 = -9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -1\/13, 73, 1, -2\/9 in decreasing order.\nAnswer: 73, 1, 0, -1\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 247 and 1?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9 + 6. Suppose k - 2*i + 3 = -0*i, p = 3*i. Let r(z) = 3*z**2 - 7. Let o be r(k). What is the greatest common factor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1581 + 1707. Calculate the smallest common multiple of 98 and p.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*q + 54 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 + 29 - 3*n + 12*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 211077321 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 12\/(-32)*(-161)\/((-2093)\/(-312))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 10 = 2*q. Suppose -3 = q*u - 21. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in -3\/2, 3, -0.1, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 8:32 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 122112102000210 + -202?\nAnswer: 122112102000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 756884 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -20*t**3 + 5 + 0*t**2 - 10 - 3*t + 21*t**3 + 2*t**2 as c*t + o*t**2 + j + w*t**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 4*c - 12504, -4*c - 298 + 7794 = 3*t. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448) + 3 + -2)*-4 - ((sqrt(847)*-5)**2 + sqrt(7) + 3 + sqrt(7) + -4).\nAnswer: -21178 - 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*y - 124 + 988. Let m = y + -91. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93823439.\nAnswer: 29, 167, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**3 - 1966*g**2 - 314208*g - 11684736.\nAnswer: 2*(g - 1127)*(g + 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -222020222 (base 3) in base 8?\nAnswer: -45306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-7 - -4)) + 8 + -34 + 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 53*c + 12251 - 5693 - 55*c to u + j*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*r + 1 - 1 + (2 - 6 + 3)*(2 + 2*r - 2) - 2*r - 4 + 4 - 2*r - 3*r + 6*r + (4*r - r - 5*r)*(-4 - 1 + 3) to o*r + x and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25987, -33791, -46797, -65005, -88415, -117027, -150841?\nAnswer: -189857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 6 = 3, -2*o - 3*j = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/104 and 58\/5?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zupv when four letters picked without replacement from zqvulupp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 2*f**3\/13 + 4218*f**2\/13 - 2*f\/13 - 4218\/13 = 0. What is f?\nAnswer: -2109, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand h**5 - 7*h**5 - 4*h**5 + (h + h**4 - h)*(0*h + 3*h - h).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence upup when four letters picked without replacement from {p: 15, u: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15.47 + 15.17. Which is the closest to -0.1? (a) k (b) 5 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/6*(-15)\/5. Let r(g) = 0*g**2 + u*g**2 + 2 + 3*g + 1. Determine r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10877 and 1341?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 138.6592318 rounded to 2 decimal places?\nAnswer: 138.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32 - 11 - 18 - 55*n.\nAnswer: -55*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3\/322 - -951\/1610. Let b = -33 - -33.28. Put t, b, 1 in decreasing order.\nAnswer: 1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 104151 (base 6) to base 2.\nAnswer: 10001000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20292894?\nAnswer: 2, 3, 1127383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15*m**4*x - m**4 + 110*m**3*x + m**3 + 24*m**2 + 38*m*x + 4*m - 10*x + 1 wrt m?\nAnswer: 360*m*x - 24*m + 660*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 61, 130, 245, 406, 613, 866, 1165?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3\/700 + 1096\/525. Find the common denominator of u and -68\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-126)*6*1*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33 - 56. Let z = 19 + n. What is the units digit of z*-10*5\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31669462 is divided by 3958681?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-86)\/(-731) + (-104)\/306. Put 60, n, 2, 3 in descending order.\nAnswer: 60, 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9.76 + 10. Let v = -0.75 - j. Let i = -10.39 - v. What is i rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 280, 475, 670?\nAnswer: 865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -5\/3 (b) -1\/2 (c) 0 (d) -2\/9 (e) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6.5 + -4.5. Let t(l) = 3*l**2 + 8*l + 9. Let m be t(-2). Which is the third smallest value? (a) -23 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2091 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 59*n**2 - 3*n + 6. Let k(a) = -181*a**2 + 8*a - 16. Let d(l) = -3*k(l) - 8*t(l). Let v(w) = -17*w**2. Determine d(v(m)).\nAnswer: 20519*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**3 + 6*r**2 + 4*r - 1. Let y be b(-5). What is the first derivative of 8*a**4 - y*a**3 - a**3 - a**3 - 21 + 2*a**3 wrt a?\nAnswer: 32*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -211 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -326 - -314. Let q be (-7)\/(-42) + (-22)\/f. Solve -q*n = -13 + 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44 - 38. Solve 0 = -q + 2 - l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 7 = -b, 5*b = 2*l + 4*b + 11 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*h**3 + 205 - 9*h**3 - 205.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -3724 by -266.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -105 - -105.4. What is the closest to 0.1 in -0.1, j, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (7\/(-3))\/(1\/3). Let j(y) = -y**2 - 7*y + 2. Let c be j(n). Is (-693)\/(-6) - 1\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -139 (base 13) in base 14?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, 12, 3, -10, 72, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10*c**3*p - 46*c**2*p + 421*c*p wrt c?\nAnswer: 60*c*p - 92*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*9\/(486\/(-78)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 21545999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6 - (0 + 6\/2). Suppose 1052 = -d*g + 4*g - 2*w, 0 = g + 2*w - 1044. Let l = -741 + g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 - 56*c - 88. Calculate b(29).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/3 + 5\/15. Let t be -51*((-10)\/55 - (-274)\/(-66)). Let s = t - 3756\/17. Which is bigger: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 153, 307, 471, 651, 853, 1083, 1347, 1651?\n\"Answer: t**3 - t**2 + 150*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-15411)\/(-22))\/((-2)\/(-4)). Let t = k + -846. Let h = t - -844. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 - 29. Suppose m - a - 19 - 21 = 0, -a = -5*m + 180. Let z = l + m. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-86944)\/832*4\/(-19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 116 and 4292.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x + 3. Let q be w(3). Let b(l) = -l**3 - 3*l**2 - l + 157. Is b(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y and 1 t when four letters picked without replacement from {y: 3, z: 1, w: 2, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 58\/35777 and -11\/404662.\nAnswer: 761978546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8238\/26 - (-6)\/39. Suppose -5*f = -i - 3990, 2*f - 1272 - h = -i. Let l = f - 382. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2677 + 2682. Let x(j) = -j + 2. Let i be x(2). Solve -2*s = -2*h + 6, i = -3*s + c*s + 5*h - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((4*(sqrt(504) - -3*sqrt(504)))\/(sqrt(9) + (sqrt(9) - sqrt(81))*4))\/((-3*1*sqrt(8) - (sqrt(288) + sqrt(8) - sqrt(8)))*-5))**2.\nAnswer: 256\/14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wuwwuwswwwjsuswjssww. What is prob of picking 2 j and 1 s?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 4942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 512660 and 10080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4*(-2)\/16*4*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*a + 30*a - 159248. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 3*r - 28. Let l = r + -3. Suppose -l*o + 44 = -2*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*a - 2*a. Let u(s) = s**3 + 9*s**2 - 9*s + 8. Let h be u(-10). Let d = a - h. Solve -d = -i - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4990 is divided by 841?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve h**5\/2 + 37*h**4\/2 + 83*h**3\/2 - 2365*h**2\/2 + 1674*h + 2880 = 0 for h.\nAnswer: -32, -12, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 41 + 10. Let o be (m\/(-4))\/((-2)\/24). Calculate the highest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + -32?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) be the second derivative of 0 - 1\/6*p**3 - p + 0*p**2. Let o(d) = -2*d**2. What is k(o(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 181*j - 310*j + 150*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be 115560\/29104 - (-1)\/34. Solve -p = 3*v - 5, 18 - 3 = 3*p - c*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - 132\/(-63) - (-28)\/49\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 115 - 807\/7. Let k = 12 - 9. Sort 1, k, z in decreasing order.\nAnswer: k, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -1255529 divided by 3\nAnswer: -1255529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 741211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -7*i**2 + 3*i + 3. Let c(b) = -3*b**2 + 3*b + 1. Let z(v) = -v. Let l(o) = -c(o) - z(o). Let j(y) = 4*d(y) + 9*l(y). Give j(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**3 + 8245*t**2 - 2210316*t + 25338240.\nAnswer: -(t - 7968)*(t - 265)*(t - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**2 - 5. Let n be a(3). Suppose 0*m + 216 = n*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -7 (b) -1.8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*(s**(-2)\/s)\/s)\/s)\/s*(s\/s**(-1\/2))\/s*s*s)\/((s*s*s\/(s\/s**(-4)))\/(s**(1\/7)\/s)) assuming s is positive.\nAnswer: s**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -94b1da (base 14) to base 2.\nAnswer: -10011001010101110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 122 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 - -2 - (2 - 4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/13, -0.1, -26, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 21800489431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0257 and -298.\nAnswer: -7.6586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 5 - 1 = 0. Let l(s) = s + 11. Let h be l(-8). Suppose u - h*u + g = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10963*k**2 - 28*k**3 + 10963*k**2)*(0 - 1 - 1).\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10\/3*(-6)\/(-4). Suppose -o*f - 2*z = 2 - 37, -5*z + 30 = f. Find the first derivative of -2 + 2 - 3*w + f wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192676837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -406*m - 1438. Calculate the remainder when j(-5) is divided by 152.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6439773.1 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of -u**5\/630 + 73*u**4\/252 - 142*u**3\/63 - 217*u**2. Suppose i(b) = 0. Calculate b.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.803 (b) -1\/3 (c) -0.3 (d) -2 (e) -11 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 639, 640, 641?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11.7 - 11. Let h = u + -1. Let a be ((-11)\/33)\/(8\/(-20)). Sort 0.2, h, a in decreasing order.\nAnswer: a, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 396924924 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-69)\/(-15) - (-3)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**3 + 17*t**2 - 36*t. Let c be x(5). What is the highest common divisor of 152 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 4*u - 9. Let y be l(5). What is the highest common divisor of y and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -190.49812 to 1 dp.\nAnswer: -190.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.005 and -46.\nAnswer: -45.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 284\/(-16))\/((-14)\/(-504)*27)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o - 2. Give y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -87*r + 36*r + 30*r - 3 + 30*r + 13*r**2. Let b(j) = 6*j**2 + 4*j - 1. What is -5*b(m) + 2*w(m)?\nAnswer: -4*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -6*v**3 - 3*v**2 - 5*v + 35. Let j be k(5). Let d be 444\/((4\/(-3))\/(-4)). Let u = d + j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (-5 - -7) + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 8, t: 2, s: 7, i: 1, j: 1}. What is prob of picking 1 j and 2 t?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 - 2*h**2 + 2*h**3)*(-5 + 2 + 5 - 3 - 2 + 4 + (-4 + 2 + 4)*(1 + 0 + 1) + 6 - 4 - 3 + 0 - 2 + 0)*(13 + 5 - 11)*(4*h - 2*h - 3*h).\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -310*m**2 + 3111*m - 7468. Determine i(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**18\/(x*x\/(x*x**4)) assuming x is positive.\nAnswer: x**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-40)\/15*3\/(-23). Let x = z - -298\/69. Which is smaller: x or 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 273*r**4 - 63*r + 2?\nAnswer: 3276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2*k - 2 = 0, -3*k = 2*k + 5. Let c(o) = o**3 + 3*o**2 - 3*o - 2. Determine c(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 + 2*j**2 - 4*j + 1. Let w = 85 - 84. Let b be h(w). Suppose b = -9*n + 905 - 14. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = n**2 - n. Let s be x(-1). Let m = 0 - s. Round m to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 438, -3, -2 in decreasing order.\nAnswer: 438, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - 32030?\nAnswer: -32026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**3 - 18*j**2 + 61*j - 42 = 0.\nAnswer: -21, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25 + -15. Let c be d\/35 + (-904)\/28. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-2\/23)\/z)\/z*z*z*z\/(z*z**(8\/7)))**45 assuming z is positive.\nAnswer: z**(-8910\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than 366\/4075337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/(-9)*0 - 1. Let a = -22 - -22. Put 1, a, q in decreasing order.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 396.5886 centuries to millennia.\nAnswer: 39.65886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 + 12610*s. Let f(r) = -120*r. Determine f(j(o)).\nAnswer: -120*o**2 - 1513200*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 182540 is divided by 6275.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -18501*-0.684\nAnswer: 12654.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*j = -18*j + 2430 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m - 6. Let n be v(-5). Let h be (n\/(-6))\/((-30)\/(-96)). Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 13*f**2 + 3*f - 4. Let z be r(1). Calculate the greatest common factor of z and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144544202 to the power of 1\/2, to the nearest integer?\nAnswer: 12023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 339940798 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(1\/(2 - (-33)\/(-15)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 391 divide 555020199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 3*c**3 + 2 - 10*c + 9*c - 4*c + 3*c - 5*c**4 in the form t*c**3 + s + v*c**2 + n*c**4 + d*c and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((18\/6)\/(-9))\/(7\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -71 - -73. Suppose -3069 = -5*r + k*i - i, -4*r + 2456 = -i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 333221.1 - 333221. Let s = -1 + -0.4. Put -2, s, i in decreasing order.\nAnswer: i, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18 - -14. What is the second biggest value in -3\/4, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/3 or 852?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -4*s + 1. Let b be v(2). Let g = b + 10. Let a(i) = 7*i**2 - i**2 - g*i**2. Let h(p) = 2*p**2. Determine a(h(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y**5)**(-33))**(-9\/7))**(1\/42))**(1\/75) assuming y is positive.\nAnswer: y**(33\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2356.7 * -0.2\nAnswer: 471.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000344370318 rounded to 6 decimal places?\nAnswer: -0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -38*d**2 + 53*d - 7. Let u(i) = -151*i**2 + 209*i - 27. Determine 5*u(n) - 19*y(n).\nAnswer: -33*n**2 + 38*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 6.5 * -0.416.\nAnswer: -2.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/48590 and -75\/57404.\nAnswer: 12341860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from zttsnzzbkzttt.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 4*q + 3*l - 589, 423 = 3*q - 3*l. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 8, 9667, 62, 5 in decreasing order.\nAnswer: 9667, 62, 8, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -65920, -66119, -66336, -66577, -66848?\nAnswer: -67155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/(-30))\/((-3468)\/510).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8\/52 + (274\/(-260) - -1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 and (10\/4)\/(35\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 17 - -15 - (-1 - -5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -8*t - 1. Let b(x) = -353 + 2*x**2 + 353. Calculate l(b(n)).\nAnswer: -16*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -683\/1816 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, a: 6}. Give prob of sequence jj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -5, -40265 in descending order.\nAnswer: -5, -8, -40265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -10 + 50. Suppose 0 = -2*b + t + 19, -3*b = -d*b - t + 65. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.2, 1, 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2.5999955 + 2.6. Round y to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + 3 + sqrt(44)*2 + 2 + -3*(sqrt(704) + sqrt(704)*-3 + sqrt(704) - sqrt(704)))*3)**2.\nAnswer: 9360*sqrt(11) + 268596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2 + (8 - 2))\/2. Factor 3 - 3*i - i + 3*i**2 + 0*i - g*i.\nAnswer: 3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y - 5. Let j be i(9). Suppose n + j*n = 275. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -167385.10575 rounded to the nearest one thousand?\nAnswer: -167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1.491 * 4\nAnswer: -5.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 + 27 - -49 - 35 - (2 + 22).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:45 PM and 3:35 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -109600.722 times -3\nAnswer: 328802.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1857 + 1885. What is the remainder when 21996\/208 + (-7)\/4 is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7778269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence se when two letters picked without replacement from ghhseeghqeshesehsegs.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 + y**2 + y - 6. Let d(r) = 3*r + 4. Let f be d(-3). Let u = -1 - f. Let k be 2\/u - 4\/8. Calculate l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2397, 4390, 9775, 20244, 37489, 63202?\nAnswer: 99075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7*1*(-480)\/560?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 81, 261, 535, 903?\n\"Answer: 47*p**2 + 39*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 + m + 7. Determine a(-12).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*(-1 - 2 - -1). Let q be w\/5 + (-17)\/(-5). Suppose 0 = 79*k - 93*k + 14. Solve 0 = -q*t - 2*t + 25, -j + t = k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 32 = -4*n + 2*n, 54 = 4*n + 2*l. Suppose -9 = -m - 2*m, o + 5*m - 6 = 0. Let r = n - o. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - ((-5688)\/88)\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 32 - -144?\nAnswer: 176","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 - 1. Let n be u(-7). Let y be ((-24)\/30)\/(n\/(-1815)). Let d = -165 + y. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1848122 by 924061.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/20 - 48\/(-80). Which is the nearest to -1\/4? (a) -5 (b) 9 (c) 0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 127\/4 - 641\/20. Let t = j + 23\/110. What is the third smallest value in -0.2, t, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 49 = -5*u + 164, -u + 5*g + 33 = 0. Solve u*c = 40*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**2 - 7*q + 3. Let s be f(-6). Let z(b) = -b**3 - s*b + 7*b - 4*b**2 + 0*b**3. Determine z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 64 = 562254*y - 562259*y, 0 = 17*y + 2*j - 234 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 60 = 2*y + 3*y, 3*y + 100 = -5*w. Let c be 6 - 0 - (w + 21). Suppose 58 = 2*j + 52. Solve -j*s = -2*s - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 65*v**2. Let n(m) = 5*m**2. Calculate n(y(t)).\nAnswer: 21125*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29, 111, 329, 749, 1437?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 4*f - 3. Let z be a(1). Let i be 1*(-57)\/(-3) + (1 - z). Suppose -2*v + 9 = -i. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 81, 96, 49, -66, -255, -524, -879?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1766115 to the power of 1\/2, to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -48\/2075, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rfw when three letters picked without replacement from {r: 1, w: 5, t: 4, f: 5}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = x - 75 + 77 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {m: 1, h: 1, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 17 = -5*x + 1, 4*f + 3*x = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53666 is divided by 281.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of 7*v**4\/12 - 5*v**3\/6 + v**2\/2 + 17*v - 2. Let b(q) = 3*q**2 - q + q**2 - 3*q**2. Determine -6*b(k) + i(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19480137?\nAnswer: 3, 47, 138157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (-7)\/(-14)*(-890)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 31*i**2 + 36*i - 9. Let v(j) = -14*j**2 - 16*j + 4. Let g(q) = 4*o(q) + 9*v(q). Let a(k) = -3392*k. Determine g(a(y)).\nAnswer: -23011328*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -0.0427 bigger than 1395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -403, -107, 7, -2, -5, 5 in decreasing order.\nAnswer: 7, 5, -2, -3, -5, -107, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6256 and 5100.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-187*q + 8 - 8)*(3*q - 2*q + q)*(0 - 1 + 2) to the form d*q**2 + j + p*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 0*m = 4*j - 1012, -2024 = -4*m - j. Suppose m = -14*t + 36*t. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18477 - 2103 = -35*n. Suppose 0*v = 3*v - 18. Suppose -n = -0*f - v*f. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) -0.3 (c) -0.4 (d) -0.03 (e) 291 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((r + r - 4*r)*(-2*r - 3*r + 6*r) + 5*r - r**2 - 5*r)*(-3 - 1 + 5)*(729*r + 63*r + 83*r) + 2*r**3 - 3*r**3 + 4*r**3 - 2*r**3 - 3*r**2 + 2*r + 3*r**2.\nAnswer: -2624*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -365*i**2 + 3 - 4*i + 8*i**2 - 4 + 4 + 68*i**2 to s + j*i + d*i**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {g: 1, o: 2, d: 7, x: 4, s: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2) + -4 + 2*sqrt(72))*6 + -1)**2.\nAnswer: -4500*sqrt(2) + 16825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 - 4*r - 10. Let p be a(8). Suppose -f + 4*y + 2 = 16, -4*y + p = -5*f. List the prime factors of (1 - f)*(-235)\/(-15).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -66 - 6?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ae6 + -3d6?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 207.5618 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*f - 188 = -8. Let x be (120\/84 - 2)\/(f\/(-7)). Which is the nearest to 1? (a) -5 (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -11*m + 259. Calculate b(25).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-19)\/r)\/r**(-1))**(1\/9) assuming r is positive.\nAnswer: r**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (16\/20)\/(2\/(-10)). Let k be (-21)\/q - (-2)\/(-8). Suppose -4*u - k*o + 2 = -1, 5*o = -5. Solve 0*c - u = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5617962 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100848 is divided by 6615?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -9565 - 15768 - 27569 = 2939*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -258621 - 165979. Round b to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 212 (base 5) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -77, -157, -237?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/(-27)*-6)\/(4\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 - 17*x - 35. What is p(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.42457635 rounded to 3 decimal places?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -80 = -55*i + 71*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 86662548377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2*g + 44. Give s(39).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 - 31*j**2 + 85*j - 37. Calculate k(28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 543412 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1678590)\/486525 + 6\/(-39). Let i = f + 2\/499. Suppose 0 = 3*x + 9 - 21. Which is the smallest value? (a) x (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hshs when four letters picked without replacement from {s: 4, h: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*c + 14*c - 23 + 9)*(7 - 7 + 7*c**2).\nAnswer: 14*c**3 - 98*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -48*x**2 - 1. Let g(o) = -49*o**2 + o - 2. Let n(a) = -3*g(a) + 2*m(a). What is the remainder when n(2) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 1056 = 1072 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -89*x + 94*x + 40 + 27 - 22. Let g be v(-8). Solve -3*y - 7 = -d - 3, y + 28 = -g*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, d: 1, k: 1, b: 1, h: 1}. Give prob of sequence bydh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -345 + 451. Put q, 4, -4 in ascending order.\nAnswer: -4, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*a**4 + 6324114*a**2 + 35558707.\nAnswer: -16*a**3 + 12648228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 684 - 677. Solve 0 = -6*h + s - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, x: 1, e: 16}. Give prob of picking 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + -2. Let z be (-1)\/((-22)\/4 + 2). What is the closest to t in -0.5, z, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 + 54 = -10*s - 66. Let g be 17733 + (-2)\/2*-1. Is g\/18 - (-2)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2 - 9054*p - 6831243.\nAnswer: -3*(p + 1509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -3705 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 15319.08 * -114\nAnswer: -1746375.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (33\/3 + 4)\/3. Suppose 0 = 3*r + 4*k - 1219, -r + k - m*k = -417. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -25*a**2 + 4. Let v = -212 - -214. Let n(g) = 29*g**v - 10*g**2 - 11*g**2 - 9*g**2. Calculate q(n(r)).\nAnswer: -25*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of 173*n**7\/42 - n**6\/60 + n**5\/60 + 50*n**3\/3 - 1926*n**2. Find the third derivative of r(c) wrt c.\nAnswer: 20760*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/55946 and 23\/22.\nAnswer: 55946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -186, 642, 2886, 7254, 14454?\nAnswer: 25194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 37*b**2 - 17637*b + 88173. Calculate l(5).\nAnswer: 913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(11) - -3*sqrt(99)\/sqrt(9) - sqrt(11)) + sqrt(66)\/sqrt(6)*-2)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 169, 596, 1211, 2014?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*o = 8*o + 53 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l\/(l\/(l*l*l**(-1\/2)))*l)\/(l*l**(2\/19)*l))**27 assuming l is positive.\nAnswer: l**(1431\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**2\/11 - 114484*n\/11 + 1638323282\/11 = 0. Calculate n.\nAnswer: 28621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 201476 is divided by 8768.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*y + 8, 5*r + 7 + 8 = -5*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -35 + 28 + (-2 - -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 18*r**4 - 3*r**3 - 75*r**2 + 32*r + 192. Let j(x) = 10*x**4 - x**3 - 37*x**2 + 16*x + 96. Let y(i) = 3*f(i) - 5*j(i). Suppose y(k) = 0. Calculate k.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 540\/216 + (-408)\/16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -20*o**2 + 1. Let r be a(2). Let k = -89 + 93. What is the common denominator of -40\/9 and -2 + 0 - r\/k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**2 - 84750*a - 593201.\nAnswer: -(a + 7)*(a + 84743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q + 10 = z, 5*q - 25 = 59890*z - 59886*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00059801 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - (-1 + 6\/10). Let r = -121 - -126. Which is the closest to 2\/5? (a) p (b) r (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 175 = 5*t, -35 = -4*t + 3*t + 5*q. Calculate the highest common factor of 6615 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-6)\/(p\/((p**(-4)\/p)\/p))*p**4*p\/(((p\/(p*p\/(p*p**(3\/4))*p))\/p)\/p*p)*p)\/(p**(-4)*p\/p**(-4)*(p**0\/p*p)\/(p*p**(-1\/9))) assuming p is positive.\nAnswer: p**(-211\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(4 + sqrt(33)\/sqrt(3) + (sqrt(11) - (-1 + sqrt(99))**2)) - (-2*sqrt(44) + 3 + (sqrt(66) + (2*(sqrt(66)*-1 - sqrt(66)) - sqrt(66)))\/sqrt(6)).\nAnswer: -579 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22 - -9. Let k(p) = p**3 + 13*p**2 - 8. What is k(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8532773?\nAnswer: 8532773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -137 - -137.00448. Round f to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -t**2*y - 188*t**2 - 2*t*y - 344*t + y wrt t.\nAnswer: -2*y - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14433 divided by -4811.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.983 - -0.883. Suppose -17 = 3*c - 5*j, 2*j = 2*c + c + 14. Let w = 1\/18 + -13\/18. What is the nearest to 0 in c, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iirr when four letters picked without replacement from {i: 4, r: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -10*w**2 + 7*w**2 - 12*w**2 + (0 - 3*w + 0)*(-4 + 2*w + 4) + w**2 - w**2 - w**2.\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -75 + 60. What are the prime factors of (-3)\/q - (-1436)\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 660108659 to the nearest integer?\nAnswer: 25693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(28)\/(sqrt(36)*6).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(5 + sqrt(162)*-2) + 5*(sqrt(162) + -3*(-2 + sqrt(162))))**2*-4.\nAnswer: -219952 + 64800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g. Let q(x) = x. Suppose 34*r + 50 = 9*r. Determine r*q(s) - h(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 45*f**4 - 4*f + 4*f - 61*f**4 - 19*f**2 wrt f?\nAnswer: -384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -2622, -5242, -7862, -10482, -13102, -15722?\n\"Answer: -2620*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(4\/12*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 13331 (base 4) to base 6.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 35 - 191. Which is the second smallest value? (a) t (b) 5 (c) 3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/((-41)\/(1312\/(-72))).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-6))\/((-1)\/(15\/10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 AM and 2:35 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -2*a**3 - 3*a + 100. What is o(0)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (188*b - 2296 + 2296)*(16*b**4 - 15*b**3 + 15*b**3).\nAnswer: 3008*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 7 + 0 = 0. Suppose 6 = x - h. Solve -11*i + 4 = -x*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 176 a factor of 22246400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -87*z**3. Determine k(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 7\/3, -5, 5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yynnynynyyyyyyyyyyyy. What is prob of picking 2 n and 1 y?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 2*m + 11. Let i be a(-10). Let g(d) = -d**3 - 10*d**2 - 10*d - 5. What is the remainder when g(i) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -8*v**2 + 12*v + 13. Let a(l) = 15*l**2 - 23*l - 24. What is 3*a(y) + 5*d(y)?\nAnswer: 5*y**2 - 9*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -65 by -6090421.\nAnswer: 65\/6090421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 2\/9 (b) 1 (c) 0.1 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 19825 divided by 5\nAnswer: 3965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1248679 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u. Let g(x) = 5*x + x - 2*x - 20*x. What is g(l(a))?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -9*f + 93 + 52 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 1 (c) -3\/4 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1547 and 1509209.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4740)\/18*(-708)\/(-2360)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 274\/7 + -39. What is the closest to 1 in -0.07, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 19 - 29. Suppose -2*k - 3*h + 57 = 0, 4*h - 166 = -5*k - 20. Calculate the least common multiple of v and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 6*a**3 - a**2 - 5*a + 3. Let g be h(2). Let z = 7 + g. What is the remainder when z is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*a = i + 23, -7*a - 18 = -4*a - 4*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 85597.87t to milligrams.\nAnswer: 85597870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 4*w + 7. Let o(p) = -3*p - 5. Determine 5*d(v) + 7*o(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 + q**3 + q**2)*(2 + 2 - 6) + (-3*q**2 + 3*q - 3*q)*(2*q - 2*q - 3*q) + 2*q**3 + 18*q**3 + 5*q**3.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -850029776 - -1835214343195\/2159. Let r = p + -448\/17. Is 0 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -8*(2\/(-4) - (-4 - -4)). Suppose m*y = -0 + 60. What is the remainder when 44 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -d**3 - d**2 + 2*d - 1. Suppose -3*g + 10 = 4*a, 3*a + 7 = 4*a + 3*g. Determine v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-2)\/(-3)*(115 + -1) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 20483.1 minutes?\nAnswer: 1228986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l\/(l*l**18*l))\/l*l*l**17*l**(-15)\/l*l\/l**31 assuming l is positive.\nAnswer: l**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 48 and 1170216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 40298 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 2\/3 (b) -0.5 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 254*q**2 - 1. Let y(n) = n**2 - 10*n + 23. Let s be y(4). Is x(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by -4101.\nAnswer: 2\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.0713867 and -265.5446.\nAnswer: -265.4732133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -113, -112, -111, -110, -109, -108?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - 499?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 10*i**2 + 442*i + 97. Give d(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 293270867135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 136681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 60173589 less than 60173589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -903, -3, -64\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.855 and -1?\nAnswer: -0.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 47\/5 + 4\/(-10). Suppose 13*z = 10*z + g. Suppose -z*j - 1304 = 3*s + 205, -4*j = -3*s + 2019. What is j rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36 divided by 5857376.\nAnswer: 9\/1464344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1095212.\nAnswer: 2, 273803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aqx. What is prob of sequence aq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 4) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 215 divide 1197335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 435 = 4*r - 401. Let p = r - 77. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 706 minutes before 1:32 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + 2 + sqrt(700))*4 + 5)**2.\nAnswer: 400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000401 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 35\/11 - 2\/11. Let y(i) = -2*i + 4*i**2 + 6*i + o - 2*i**2. Let d be (28\/(-21))\/(-2) - 35\/(-15). Let u(b) = -b - 1. What is d*u(t) + y(t)?\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3\/(-8) - 1\/(-2). Let t = 0.99623 - 0.99623. Sort -0.5, t, l, 1\/11 in increasing order.\nAnswer: -0.5, t, 1\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10925, 44166, 99687, 177488, 277569, 399930, 544571?\nAnswer: 711492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3 - -19) + -22 - -11) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 8 = 2*u, -4*u - 2*r + 5 = r. 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: Sort -3, 4, -36, 1965 in decreasing order.\nAnswer: 1965, 4, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 11 = 5*k. Suppose 0 = -k*c + 15 - 31. Let q(p) = p**2 + 7*p - 4. Calculate q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.515 + -474087.44622?\nAnswer: -474087.96122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -15 + 14. Let a be 1\/(1*1\/y). What is the second smallest value in 2\/9, -3\/5, a?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -87 + (13 + -5 + -37 - -31).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -21*a**3 + 5*a**3 + 8*a + 0 - 3*a + 14*a**3 + 4. Let k be q(-1). Let i(y) = 29*y**2 + y. Determine i(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2775 a factor of 604403351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -3 (c) -5\/6 (d) 0.4 (e) 4 (f) 1 (g) 106204\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let a be 2 - 1 - (1 - -1). Let d = 3.92 - -0.08. What is the nearest to -2 in d, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 524712 + -524961.00352. Let q = l - -249. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2033*p**3 - 2815050*p + 2815050*p.\nAnswer: 2033*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 324369, -0.2, 51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30647, 61293, 91939, 122585?\nAnswer: 153231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 54607008.78 to the nearest one hundred thousand.\nAnswer: 54600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*d - 34 = -3*u, 4*u - 24 = -4*d - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 126 divide 24192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (575\/(-20))\/(2166\/(-432) - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1153532659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that z**5 - 1318*z**4 - 60698*z**3 - 865324*z**2 - 3958631*z - 4920430 = 0.\nAnswer: -19, -5, -2, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.1 + -5.1. Let l = -1 + 1.08. Let g = -3.08 + l. Which is the nearest to 0.2? (a) -0.1 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*d**2 - 924*d - 71148 = 0. Calculate d.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -3806, -15144, -34032, -60464, -94434, -135936, -184964, -241512?\n\"Answer: w**3 - 3781*w**2 - 2*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 30294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = l - 37, 3*k + l - 28 = -0*l. Let w = -6 + k. Calculate the remainder when 11 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4420.504 - 4102.7. Let p = f - 315. Let u = p + -2.7. Round u to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -2*z - 16, 8*d = 10*d - 5*z - 29. Let -4\/17 + 2\/17*l**3 - 8\/17*l**d + 10\/17*l = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 212*n - 172. Give k(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be 4\/6*126\/12. What is the highest common factor of 3 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g - 146 + 162 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122 = -3*w - 2*u, 3*w - 152 = 3*u + u. Let v be 1312\/w - (-2)\/11. Let c = -54 + 129. Calculate the greatest common factor of v and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 0.1, 9, 0.4, 2972?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-66751 + 1991*k**2 + 66751)*(13*k + 0 + 0).\nAnswer: 25883*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes after 2:31 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -9*h - 219. Let n(x) = x + 22. Calculate 2*l(a) + 21*n(a).\nAnswer: 3*a + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168*v - 48 = -192*v. Let h be (-1)\/(v\/(-12)) - (523 + -520). Factor -4\/5 + 4\/5*l**4 + 8\/5*l + 0*l**2 - 8\/5*l**h.\nAnswer: 4*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -683*i + o = -687*i - 11, 2*o = -3*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -5*l + 17. Let k(y) = -2*y + 6. Let w(v) = 8*k(v) - 3*r(v). Differentiate w(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l\/(l*(l\/l**(10\/3))\/l*l))*l**(2\/3)*(l*l*l\/l**15*l)\/l**(1\/14))**(-30) assuming l is positive.\nAnswer: l**(2465\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 26202 divided by 8734?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -3*c**2 + 2*c + 2. Let u(a) = -a**3 + 7*a**2 - 5*a - 4. Let r be u(6). Let g(i) = 2*i + 2. Let s be g(2). Let p be (r\/4)\/(s\/24). What is m(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 PM and 10:38 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 341*w**3 + 6*w**2 + 5*w + 2. Let t(f) = -681*f**3 - 15*f**2 - 10*f - 5. Let x(g) = -5*m(g) - 2*t(g). What is the second derivative of x(b) wrt b?\nAnswer: -2058*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -4, 0, -60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:22 AM and 7:24 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -21*j**5 - 25101*j**4 + 169482*j**3 - 852*j**2 - 1024344*j - 288480 = 0.\nAnswer: -1202, -2, -2\/7, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3591883 to the nearest integer?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -37, -1, 49, 0 in increasing order.\nAnswer: -37, -1, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-176)\/(-616)*(-14)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*t - 34 = -13*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 2*o - 2, -2*l - o + 957 = 0. Is 68 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1200)*-1)\/sqrt(6) + (sqrt(84)\/(-1*sqrt(6)))\/sqrt(7))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -6, 12, -13, -7 in decreasing order.\nAnswer: 12, 0, -6, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(180)*-3)\/(5*sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 27*d**2 + 15*d**6 + 23*d**6 - 6*d**6 wrt d.\nAnswer: 3840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -7013, 0.031 in decreasing order.\nAnswer: 0.031, -8, -7013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 5 - 2)*(4*c + 3 - 3)*(-3 - 3 + 5)*(4 - 4 + 2*c) in the form v*c + p*c**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3\/4 + 1433*v**2 + 22876*v + 68592.\nAnswer: (v + 4)*(v + 12)*(v + 5716)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Suppose 17*q - 15*q = 4. What is the hundreds digit of (-1)\/(2\/(-424)) - q\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 2*o**2 - 1. Let l(w) = 7*w - 268. Let s be l(38). Let k(d) be the second derivative of d**5\/20 + 7*d**4\/12 - 3*d**2\/2 + d. What is s*k(x) + 7*r(x)?\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 7950 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -9*i**3 - i. Let v = 15 + 4. Let n = -20 + v. What is the units digit of k(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 232.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.0261803 - -0.02564. What is r rounded to 5 dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1608636 to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 451*p - r = 449*p + 8889, -2*r = 5*p - 22227. What are the prime factors of p?\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2291917716 to the nearest integer?\nAnswer: 47874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*s + 4166 = 30. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**3 - 5*r + 11. Calculate n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (180\/(-720))\/(1\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 12763, 1, -10 in descending order.\nAnswer: 12763, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 12966449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o + 33. Let x be w(-13). Suppose -x = -s + 11*s. Let b be ((-26)\/10 + 3)\/(s\/10). Put b, -3, 19, 0 in decreasing order.\nAnswer: 19, 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13 + -19. Let j(l) = l**3 + 5*l**2 - 5*l + 5. Let y be j(a). Which is smaller: y or -2\/39?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vllvvvccdvv. Give prob of picking 1 d and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 240*r**4 - 919*r + 460*r + 458*r - 71*r**3 + 68*r**3 to h*r + q*r**4 + n*r**3 + g*r**2 + w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 120701010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h - 2*h - 4 = 0. Let b be (h\/5)\/(4\/40). Let g = b - -7. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*l - w, -14 = l - 2*w + 6*w. Let g be 3 + -3*(-3 + l - -2). Suppose 5*h - 79 - 41 = g. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 1 + -41 + 52?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 37 + 5 = 0. Let h be (2\/3)\/(24\/(-1044)). Let k = -18 - h. What is the remainder when v is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 z when three letters picked without replacement from {z: 7, x: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q. Let g be 42*(-8 - 136\/(-16)) - 7. Calculate d(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (632\/(-474))\/(24\/702)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 257077 is divided by 11685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2896 - 2875. Suppose 0 = 5*g + 1 - 51. Suppose -264 = g*t - f*t. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**3 - 1. Let m(y) = -y**2 + 3*y**2 + 4*y**2 - 2 + 0*y**2. Let g(n) = -m(n) + 2*q(n). Factor g(s).\nAnswer: 2*s**2*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 13222 (base 6) to base 9\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 623299783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -14 + 10013?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2201, -2173, -2123, -2051, -1957, -1841, -1703?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 484\/(-77) + (-6)\/(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gggggghhgghggg. Give prob of picking 2 g and 1 h.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.168 + -0.032. Let j = -539 + 361. Let u = j - -1600\/9. Which is the smallest value? (a) u (b) i (c) -4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 556 * -1528\nAnswer: -849568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:45 AM and 6:35 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4253953731 to the power of 1\/3, to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13373 and 331831?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 194416 divided by 3?\nAnswer: 194416\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 6.385529 years in months?\nAnswer: 76.626348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 + 3. Suppose 0 = 73*q - 68*q + 10. Which is bigger: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/835657 >= 2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -1393 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6.119 + -6.1190651. Round q to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-224)\/(-12) + 200\/(-75)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1083807667 to the power of 1\/4, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = -3*i + 4*m - 11, 3*i + 5 = 5*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/(-20))\/(2\/4)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 4*u**2 + 61*u - 43. Let i be g(-19). Solve 0 = -244*o + i*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 6, a: 5, r: 1, p: 2, z: 1, g: 5}. What is prob of picking 2 j and 1 g?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*b + 288 = 22*b + 21*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = 35*k - 574. Solve -18 = -k*l - 74 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 682 divide 13030269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 111 in 1, -5, -15, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1069, -2130, -3191?\nAnswer: -4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1852673887 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 2*b, -5*b + 68 = 4*a. Calculate the remainder when 65 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7341206687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.33860811 rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -122, -952, -2738, -5810, -10498, -17132?\n\"Answer: -55*v**3 - 148*v**2 - v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes after 12:56 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 142*i + 11. Give z(1).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/996 and 1\/123836.\nAnswer: 371508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f = -262.47 - -262.17. Let n(x) = -1 + 1 - 2*x. Let o be n(1). What is the closest to 0.1 in f, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 - 2*o - 3. Let a(v) = 11*v - 169. Let l be a(15). What is z(l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7 - -16. Suppose -81 = 6*i - 9*i. What is the greatest common divisor of i and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31238 divided by -5?\nAnswer: -31238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -883551, -1767096, -2650641, -3534186, -4417731?\n\"Answer: -883545*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -332400 divided by 20775.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1465.4 - -1464.9. Let w = 0.3 + -1.3. Which is the closest to w? (a) 2 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119)*-1*-2)\/(sqrt(7)*3*1).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2\/2 + 270*f + 12150.\nAnswer: 3*(f + 90)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -25*a + 22. Does 8 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/(-10))\/(((-35)\/25)\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4, -36, -116, -268, -516, -884?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -105*z**4 + 3*z**3 + 125. Let x(u) = 2*u**4 + u**3 - 2. Let a = 784 + -786. Let h(v) = a*p(v) + 6*x(v). What is the derivative of h(i) wrt i?\nAnswer: 888*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/((-160)\/(-12)))\/((-18)\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5898 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -97752018 - 7\nAnswer: -97752025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) be the first derivative of 3*g**2\/2 - 23*g - 341. Give l(-10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*f + 254 + 96 = 0. Put f, -1, 5, -0.3 in descending order.\nAnswer: f, 5, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kppqkpskpsqkss. Give prob of picking 2 p and 1 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 9587680 divided by -620\nAnswer: -15464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 4*v = -5330, 4*q - 6214 + 1949 = 3*v. What are the prime factors of q?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7517 or 52627\/7?\nAnswer: 52627\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**3 - m**2 + m - 1. Let w(z) = -z**2 + 2*z + 4. Determine -2*v(g) + 2*w(g).\nAnswer: 2*g**3 + 2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1214 + 15936. List the prime factors of g.\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 0, 5\/3, -64.865?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 2:39 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.138 + 0.205. Let r = o - 0.017. Put 0.3, -2, -2\/5, r in descending order.\nAnswer: 0.3, r, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1098038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j. Let o(y) = y**2 + y. Let n(t) = m(t) + 5*o(t). Find the second derivative of n(w) wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 78*p**2 - 53*p - 485. Calculate k(-4).\nAnswer: 975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -24*h + 22113 + 4215. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose g + 5*u - 42 = 0, 5*u - 9 = 2*u. Which is smaller: g or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) be the second derivative of 3*b**5\/20 - b**4\/3 + 2*b**2 - 2*b - 16. Let a(z) = -z**3 + z**2 - 1. Determine -20*a(w) - 5*t(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7\/139 - -1391\/2780. Let k = -9\/2299 - 199761\/64372. What is the common denominator of r and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1 and ((-4)\/(-6))\/(2\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -112.154613881 - -182.75461357. Let w = j + -70.6. Round w to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (691 - 348 - 332)*(5*k**3 - k**3 - 2*k**3).\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -225, -225, -235, -261, -309, -385, -495, -645?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 109633250183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -59 + 87. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of n**5 + 829*n**2 - 248*n + 162 wrt n?\nAnswer: 20*n**3 + 1658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 AM and 11:00 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -336 - -223. Let q = m - -131. What is the remainder when 81 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:27 AM and 1:36 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -292155.99 rounded to the nearest 100?\nAnswer: -292200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -13 + 23 - 13 + w. Give l(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -1.1. Let x = c - 0. Let w = -3660 - -14639\/4. Is w smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -400, -326, -204, -34, 184?\n\"Answer: 24*o**2 + 2*o - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/22 (b) 1 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -4*w**2 - w - 4. Let d be m(-5). Let n be (-2)\/6 - 51\/d. Factor 0 + n*h - 4\/11*h**2 + 2\/11*h**3.\nAnswer: 2*h*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 PM and 8:04 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the second derivative of -p**4\/12 + 2*p**3 + 15*p**2\/2 + p. Let c be ((-1)\/(-5))\/((-153)\/(-9945)). Calculate u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -6, 5, 0.00622?\nAnswer: 0.00622","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 22*(65151\/114)\/(-127)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 19, 74, 131, 190, 251?\n\"Answer: q**2 + 52*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:16 AM and 6:07 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -4*h**2 + 3*h - 3. Let d be a(2). Let j = -8 - d. Suppose -j*n + 44 = -121. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1074, -45, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 23 - 4)*(0 + 1 - 3)*(0*l**4 + l**4 - 5*l**4) as y + q*l + a*l**4 + h*l**2 + z*l**3 and give a.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.15 * 143684.\nAnswer: 165236.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 11) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s**2 + s - 3. Let n be v(3). Let c(t) = 46*t - 25. Is c(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a8b + -30?\nAnswer: -abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1281 and 42260007?\nAnswer: 295820049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-7)\/(21\/(-204)) - -4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00166909264 to 7 decimal places.\nAnswer: -0.0016691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 192598855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 6:41 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 14913 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -764*s + 222703. What is z(290)?\nAnswer: 1143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 172*v**4 - 9*v**3 - 174*v + 6?\nAnswer: 2064*v**2 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a0 - 76?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 3*w**2 - 8*w + 26. Let b be f(13). Differentiate -b*i + 465*i - 32 + 0 - 1 with respect to i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 2*t + 21 = 0, 0 = -5*g + t - 2*t + 18. What is the units digit of 1\/g + 11\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 4914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 2*r. Let l(y) be the third derivative of -425*y**4\/4 - 36*y**2 + 8. Give l(h(f)).\nAnswer: -5100*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7 and 119638.\nAnswer: 837466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 315440 (base 7) to base 12\nAnswer: 27835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-54)\/(-8)*76\/(-57)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -4 - (-9 - (6 - 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*n**2 + 2*n**3 - 2*n**2)*(4 - n - 4) + (-10*n**3 - n**3 - 1 + 3*n**3)*(29*n - 4*n - 3*n) to a*n**4 + r*n + d + h*n**3 + v*n**2 and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 65259764, 65259765, 65259766, 65259767, 65259768, 65259769?\n\"Answer: w + 65259763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2805 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-30*i - 3*i + 6*i + (-1 + 0 + 0)*(161 + 80*i - 161))*(0*i**2 - 3*i**2 + i**2).\nAnswer: 214*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l = -9*l + 8. Let y be l\/(-4)*(19 + -17). Differentiate -13 - y - 13*r**4 - 3*r**4 with respect to r.\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*a - a + 0*a)*(5*a**2 + 2*a**2 + 13*a**2) to x*a + h*a**2 + b + v*a**3 and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b**2 + 3069*b - 6139. Calculate m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r + 1. Let b be o(-1). Suppose b*c - y = 71, -5*c + 3*c + 51 = -5*y. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11691 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -161*v + 149*v = -72 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2377614748 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3522 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 - 16. Let w = -0.196 + 0.156. Which is smaller: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000049282 rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -11*t + 1. What is the remainder when f(-4) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -217*t + 46\/3*t**3 + 0*t**2 - 2. Find the first derivative of c(l) wrt l.\nAnswer: 92*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 48, -0.1098, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - -2. Let w be (-6)\/21 - 30\/(-7). Suppose -w*o = -5*o + 18. Calculate the remainder when o is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 193954949 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**3 - 4*u**2 - 12*u - 1. Let x be y(6). Let l(g) = -g**3 - 4*g**2 - 2*g - 1. Let b be l(-2). Which is greater: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3691381*h = -3691429*h + 1152 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + a = -7, 10 - 27 = -5*z + 3*a. Suppose -c - z = -3*c. Let w be (-13 + 2)*(c + -3). Solve 4*y + 1 = -w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = w + 53, -2*u - 3*u + 61 = 3*w. Suppose 16*f - 715 = u*f. Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -16603 - -21610. Solve 8*v + 4975 = c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 4*x = -658, -4*x + 441 = 2*v + x. Let b = v + -69. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(65)*-4 + sqrt(65) + (sqrt(65) + sqrt(65)*1)*-1)\/(6*(sqrt(5) + sqrt(80)\/sqrt(4))).\nAnswer: -5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11153, -10688, -10223, -9758, -9293?\nAnswer: -8828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1058209315 to the nearest integer?\nAnswer: 32530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 - 5*o**2 + 5*o - 2. Let t be 3\/2*2\/3. Let r(l) = -6*l**2 - l + 1. Let p be r(t). Is 4 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-2)\/(-2) + -1)\/(-1). Let y = -7 - -2. Let a(d) = -d**2 - 11*d - 20. Let h be a(-9). Sort h, y, q.\nAnswer: y, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g - 2*g**3 - 3*g + 2*g - 6*g to the form k + d*g + v*g**2 + w*g**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4661 not equal to 4661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 5. Suppose 0 = 2*f + s, -b + 4*b = -3*f - 3. Suppose -3*m + 12 = -6*m - 5*x, 0 = 2*m + b*x + 7. Is m greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s + 381 = 40. Let n = s - 27. Let y be n\/(-4 - -36)*2. Put 0.4, 2\/13, y, 8 in descending order.\nAnswer: 8, 0.4, y, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -63 + 65. Suppose 4*w = y*w - 2*z - 4, -4*w + z + 2 = 0. Solve 3*b - k + 5 = -3, 2*b - 3*k + 3 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33309136 is divided by 81?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-104)\/24)\/(-13))\/(2\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - 3.3. Let r = -3.2 + w. Let v = r + 6. What is the third smallest value in -5, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 8*f - 1. Let u(h) = 25*h - 3. Let a be -1 - 1\/((-1)\/(-2)). Let x(l) = a*u(l) + 8*c(l). Give x(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(7\/((-42)\/(-4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 164, 328, 492?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2940.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, j: 14}. What is prob of sequence jjj?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w - 6. Let n be u(-3). Let b(l) be the second derivative of l**5\/20 + l**4\/3 - l**3\/3 - 2*l**2 + l. What is the tens digit of b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-208 + 820 - 333)*(-2 + 2*x**3 + 2) to the form q + f*x + u*x**2 + d*x**3 and give d.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 825*l**2 + 17*l - 20. Let d be n(-5). What is d rounded to the nearest one hundred?\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.4 or -7297036?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t\/(t*((t*t\/(t**(1\/11)*t*t))\/t)\/t)*t**(-1\/11))\/((t**(1\/2)\/t*t)\/(t\/t**5))*(t**5*t**(-2\/25)\/t)**(-4\/3) assuming t is positive.\nAnswer: t**(-1009\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*o**3 + 1 - o**2 - 3202*o + 1608*o + 1613*o - 9*o**2 - o**3 to v*o**3 + r + m*o**2 + n*o and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/4 - 7\/(-2). Let x(s) be the first derivative of -2\/3*s**4 - 28\/9*s**z + 1 - 4\/3*s - 7\/9*s**6 + 11\/3*s**2 + 32\/15*s**5. Solve x(p) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**2 + 7*g + 3. Let l be w(-7). Let u be ((-127500)\/(-9))\/(l\/(-360)). Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 107\/470 + -6\/47. Is k smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.10908 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and 58.4655?\nAnswer: -5.84655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -55*l*t**2 - 37*t**2 wrt l.\nAnswer: -55*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -2.93. Let y = -5381 - -5376. Which is the second smallest value? (a) y (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18057 + -9463. List the prime factors of t.\nAnswer: 2, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2\/431 + 844\/3879. What is the third biggest value in 3, 7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.32 + 0.18. Let h = -0.02 - -2.02. Which is the biggest value? (a) y (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -61*s**2 + 3*s. Let h(a) = -a**2 - a. What is -6*h(n) - m(n)?\nAnswer: 67*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3200554033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -1568*t - 22264*t**3 - 227*t**2 + t**4 + 22318*t**3 + 899*t**2 = 0.\nAnswer: -28, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 times -0.3384?\nAnswer: -2.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(2\/9)\/c)\/c**(-12\/13)*c**(-9\/5)\/c**(-1\/7) assuming c is positive.\nAnswer: c**(-2096\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 3, r: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -24 in 5648, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2298\/19 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/384702 and -97\/14?\nAnswer: 2692914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 2*h + 57. What is m(10)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 434 + 1 - 1*(2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, 254, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 114158798 to the nearest integer?\nAnswer: 10685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 16146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d - 2*d**2 + 0*d)*(-3*d + 4*d + d) + 0*d**3 + 3*d**3 + 0*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 152400518417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5176805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30775198 - 10*u**3 + 30775198.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*d**5\/5 + 64*d**4\/5 + 282*d**3\/5 - 324*d**2\/5 = 0 for d.\nAnswer: -3, 0, 1, 54\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 165625 + -295915. Let r = -130237.00288 - v. Let z = r - 53. Round z to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*t = 216 - 24. Solve -2\/19*s**2 + 2\/19*s**t + 0*s + 0 + 2\/19*s**3 - 2\/19*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a*a\/(a*a**7)*a**(-2\/5)*(a\/(a\/(a**(2\/33)*a))*a)\/((a**9\/a)\/a) assuming a is positive.\nAnswer: a**(-1871\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/10419031 or 0?\nAnswer: -2\/10419031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.5 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 984 divide 17774176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*h**3 - 178*h + 224*h - 24*h - 22*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -616.90855 + 489032\nAnswer: 488415.09145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -23 (base 9) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 52\/185 and 49\/1110.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(18) - (sqrt(18) - 2*sqrt(18)))\/sqrt(3))\/((sqrt(243) - (sqrt(243) + (sqrt(243)*-1 - sqrt(243)) + sqrt(243)))*2).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zdz when three letters picked without replacement from icchdzzb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-144 - 356400\/(-1755)) + (-2)\/26?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 3*c + 22 = 3*n, n - 14 = -5*c. Suppose -7250 = -3*l - 4*z, -c*z - 10711 = -5*l + 1329. What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*m - 34 - 5*m - 77 + 13.\nAnswer: 3*m - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13 - -7. Let y be 1 + v\/(-8) - (-40)\/160. Which is bigger: -10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the first derivative of r**3\/3 + 2*r**2 - 5*r - 3. Suppose 0 = 7*c + 50 - 71. Let q be (10\/15)\/((-4)\/6) - c. Determine v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 + 1 - 1)*9. Suppose -q = -o - d, 4*o - 3*d = 2*o - 7. Suppose o*z = 5*z - 6. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7447.181us?\nAnswer: 0.007447181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -13*a**2 + 2*a - 36. Let d(f) = 3*f**2 - 3. What is 3*d(z) - w(z)?\nAnswer: 22*z**2 - 2*z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -249, -2.3, 8?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 27 + -10. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -56814396 at most as big as -56814395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13296 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v - 4*v = 9. Suppose 2*u - 135 = -v*u. Let q = u + -5. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 3*d = 0. Solve -6*u + u - 20 = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*j + 368 = 76*j + 62*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -78, -140, -198, -252, -302, -348?\n\"Answer: 2*l**2 - 68*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 66380 - 66374 = -2*m, -3*u = 2*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -846 divided by -423?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/11 - 60*j\/11.\nAnswer: 2*j*(j - 30)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 123 divide 5358030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*v**4 + 33*v**4 + 0*v**4 + (7*v**3 + 4*v - 4*v)*(2*v + 0*v - 5*v) to the form q*v**4 + u*v**3 + w*v**2 + d + i*v and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the second derivative of i**5\/20 - i**4\/12 + i**3\/6 + 5*i**2\/2 - i. Let k be q(0). Solve 2*g + 27 = 5*z, 22 = 3*g - 0*g + k*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(-6))\/((-63)\/27).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 0)*(1 + 5 - 3)*(-4 - 15*s + 4)*(78 + 85 - 111 - 2*s).\nAnswer: -90*s**2 + 2340*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**4 - 56*b**3 - 108*b**2.\nAnswer: -b**2*(b + 2)*(b + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 3880231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 41 + 31. Let b = 0 - -8. What is the greatest common divisor of b and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is o in -2*o**5\/7 - 326*o**4\/7 + 2*o**3\/7 + 326*o**2\/7 = 0?\nAnswer: -163, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let 218*v**3 - 79*v**3 - 129*v**3 - 208*v**2 + 2*v**4 = 0. What is v?\nAnswer: -13, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-63)\/12)\/(12\/48). Let v be 9\/y - (1 - (-2776)\/(-728)). Are 2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r**2 - 7*r + 7*r + (-1 - 2 + 1)*(2*r**2 - 4*r**2 + 4*r**2))*((-2 + 1 + 3)*(4 - 3 + 0) + 88 - 39 + 37).\nAnswer: -88*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-14)\/49)\/(-2) + (-1062)\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -155\/57? (a) -0.1 (b) -0.04 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 14 = 4. Let q(n) = 2*n**2 - 3*n**i + 0*n**2. Let j(d) = -11792*d + 11792*d - 6*d**2. Calculate q(j(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 3*h + 21. Let u = 43 - 50. Let k be v(u). Suppose k = -8*o + 134 + 138. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -378, -393, -408, -423?\n\"Answer: -15*n - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 1593847*j**2. Let t(y) = -5*y**2. Calculate t(o(r)).\nAnswer: -12701741297045*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 4, l: 1, q: 7, y: 1}. Give prob of picking 1 q and 1 g.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {k: 1, f: 1, d: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*y - 12. Let v be (-20)\/y*9\/(-6). Solve -4*l + u - 5 = 4*u, 15 = 2*l + v*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1014230304441 + 0?\nAnswer: -1014230304441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together -12.4 and -588144.89321.\nAnswer: -588157.29321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41464939?\nAnswer: 659, 62921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 26*i**3 - 6*i**2 + i + 43. Let m(r) = -r**2. Let v(g) = -6*m(g) + w(g). Differentiate v(s) wrt s.\nAnswer: 78*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (253 + 56 - 16 - 3*c)*(-3*c**2 - 3*c**2 + 3*c**2) in the form u*c**2 + t + q*c**3 + k*c and give u.\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, x: 4, o: 2, n: 2, w: 5}. Give prob of sequence woh.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1717*c**2 + 4963*c**2 + 1082*c**2.\nAnswer: 4328*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8e + 3e?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -286449.48 - -286449.627999292. Let k = -0.077 - -0.225. Let t = m - k. What is t rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -940583, -1881220, -2821871, -3762542, -4703239, -5643968?\nAnswer: -6584735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 276093144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-5 + sqrt(175)*-2 + 0 + sqrt(7) + 4).\nAnswer: 4 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 454, 0.4, -9, 17, -2\/5 in descending order.\nAnswer: 454, 17, 0.4, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -800, -154174, 5 in descending order.\nAnswer: 5, -800, -154174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110, 242, 462, 770?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 11 = 5*j + 107, 0 = 4*g + 4. Let k = -26 - j. Calculate the remainder when (2\/k)\/(6\/(-171)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*o**3 - 3*o**3 + 3*o**3)*(o + 3*o - 6*o)*(-5*o + 4*o + 0*o) + (-5*o**4 + 10*o**3 - 10*o**3)*(o - 2*o + 3*o).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -11224, -23700, -36176, -48652?\n\"Answer: -12476*x + 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 + 2. Let g(n) = 2*n**2 + 5*n - 7. Let s be g(f). Let l be (1*9*1)\/1. Calculate the greatest common divisor of s and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 170301151*k**4 + 122*k**2 - 10*k - 3342.\nAnswer: 4087227624*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1016352757.\nAnswer: 7, 233, 89021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, -1930.\nAnswer: -1930, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2272 + -369. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = 2*j - 39. Suppose j = 3*g + 3*w, 97 = 5*g - w + 3*w. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.25 - 0.15. Let r = 3 - 2.6. Let f = 9.1 + -9. Which is the closest to f? (a) 5 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**2 + 9*n - 10. Let m be z(-8). Let i(w) = -w - 4. Let f be i(m). What is the first derivative of -3*j**3 - 434 + f*j**3 + 456 wrt j?\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, n: 3, x: 5}. What is prob of sequence xx?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-5) + 27\/5. Let f be (-34*(-10)\/(-80))\/((-3)\/(-12)). Suppose -4*b = -b - p + 13, 3*p - 18 = 2*b. Put x, f, b in descending order.\nAnswer: x, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4152 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 29 - 30. What is the smallest value in -0.7, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 4*z**2 + z + 3. Let k(l) = 17*l**2 + 4*l + 13. Let d(w) = 4*w - 10. Let s be d(9). Let r(j) = s*p(j) - 6*k(j). Solve r(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*a + 1680098 = 1688876 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*n + 9*n**3 + 0*n - 8*n**3 + 22*n**2 to the form v + z*n**2 + l*n**3 + b*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 36504362459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uzzp. What is prob of sequence puz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -14403*f + 14408*f = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.7 + -0.3. Let h = p - -0.9. Let b = 2\/713 + -719\/2139. What is the closest to -1\/4 in h, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 - 2.6339\nAnswer: -1.6339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in fourty-five halves of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from iggigigigiiggiiiigg?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 563 is divided by 72.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in -5, 0, -1\/3, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -5 - 3 - 6 - p. Let l be t(-9). Sort 10, l, -2.\nAnswer: l, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*h - 9 = 16*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 2 + 2*d)*(-3836*d + 14*d**2 - 3764*d - 3775*d - 15*d**2 + 2943*d) to j + c*d + x*d**2 + f*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*h - 9*h + 11*h)*((2 - 2*h**3 - 2)*(-2 + 1 - 1) - h + h - 2*h**3 - 2*h - 4*h**3 + 2*h - h**3 + 2*h**3 + 0*h**3).\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 31 = 83*i - 1048 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 48\/1199 + -1069940\/10791. Let o = v + 97. Find the common denominator of o and 45\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 20*k**2 + 3*k + 30. Give x(-20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 PM and 10:09 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -779 - 6*a + 779.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add -59475034 and 0.7.\nAnswer: -59475033.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 149*q - 143*q - 6 = 6. Solve q*i + 9 = w, -3*i + 5*i = 3*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3990.056us?\nAnswer: 0.003990056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 30645 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-3)*9 + -1. Determine n, given that -6*n**3 - 12 + 8*n - p*n**5 + 0*n**4 + 12 + 8*n**2 - 8*n**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 266 a factor of 27508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - ((3 - (2 - 5)) + 7)) + 51 + -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0 + 7. Let h = l + -15. List the prime factors of h\/(-44) - (-964)\/22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6679\/123 + -2240\/41. Is -1777\/2 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1231*n + 1237*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2.7025*5.2\nAnswer: -14.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -6930 divided by -4?\nAnswer: 3465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.05612906 + 0.05607. What is c rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 1 + 5)*(1 + 2 + 1)*(3361*t - 24*t + 3176*t - 1540*t) to x + d*t and give d.\nAnswer: 39784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000231906836 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 93\/140 and -23\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = -164 + 185. Suppose 28*j + 35 = k*j. Sort 3, 0, 1, j in increasing order.\nAnswer: j, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17218 is divided by 2176.\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 1149, 1\/4, -2\/5, -3\/7.\nAnswer: -3\/7, -2\/5, 1\/4, 8, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (2*u + 0 + 0)*(u - 6*u + 3*u) + 1 - 1 - u**2 - 3*u**2 + 1 - 1 + (151 - 151 + 36*u)*(8*u + 64 - 64) as y + h*u + d*u**2 and give d.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 53 + -10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by 279.\nAnswer: -4\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -4 at least 15916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (7 + -22 - 9) + 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 0*p - 5*k + 18, -3*k = -p - 10. Let r be -2 - (14\/(-22) + p). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -215.048247045872 and -0.5?\nAnswer: 214.548247045872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4590655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -22097427, -44194838, -66292249, -88389660, -110487071?\n\"Answer: -22097411*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.042136693+1\nAnswer: 0.957863307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/44 and -23\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -34*g + 1. Let q(l) = -3675*l + 343. Calculate q(d(a)).\nAnswer: 124950*a - 3332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3422078, -3422114, -3422150?\nAnswer: -3422186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((14\/(-70))\/((-5)\/25))\/(2\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**2*a*a)\/a)**(3\/2)\/(a**(1\/3)*a)**(-22\/3) assuming a is positive.\nAnswer: a**(257\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**3 + 11*q**2 + 121*q - 1285. What is j(11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.2, -112.\nAnswer: -112, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 4 = 3*m. Suppose 3*z = 2 + 4. Let j = z - m. Solve 0 = -h - 4*n + n + 3, j = -5*h + 2*n + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -41.748*0.4\nAnswer: -16.6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d**3 - d**2 + 3*d - 2. Let p be w(-3). Let u(s) = s**3 - 8*s**2 + 9*s - 8. Calculate u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 + 2*t**2 - 4*t - 3. Let w be a(-3). Let p(q) = 7*q + q - 6*q + 0*q + 15 + 59 - q**2. List the prime factors of p(w).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*c - 6*c = -32. Let u be (6\/c)\/(15\/(-360)). Is (-1)\/(-6) + 25179\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p**4 + 52*p**3 + 328*p**2 + 560*p + 288 = 0. What is p?\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 3*i**3 + 2*i**2 - 1. Suppose 0 = k - 5*k - 4. Let c be q(k). Let y(f) = -f**2 + 1. Let s(j) = 2 + 3 - 4. Calculate c*s(l) + 2*y(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 61*j - 16. Let l be q(-2). Let i = l - -145. Solve -3*b = -i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 882 - 856. Let j be (22\/4)\/(3\/78). Calculate the greatest common factor of v and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 43 + -47. Let y be (7 + -10)\/(z - -1). Suppose -k = 3*k. Do k and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 614, 2474, 5590, 9974, 15638, 22594, 30854?\n\"Answer: 2*b**3 + 616*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 14 = -5*n - 6, -4*u - 4*n + 8 = 0. Do 10 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y**2 + 25825350*y + 33347435131125 = 0. Calculate y.\nAnswer: -2582535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 204485, 408952, 613419, 817886?\nAnswer: 1022353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 159*g**2*h**3 - 2*h**3 + 32*h**2 wrt g.\nAnswer: 318*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -3699 + 3699 - 7*m. Let h(b) = -6*b**2. Calculate h(u(x)).\nAnswer: -294*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 6*s**3 - 15*s**2 - 134*s + 380. Give q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 31 - 30.9. What is the nearest to h in -2\/11, 6\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/21)\/((-18)\/42).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24\/60 + 26\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4, -149, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -77*y - 59. Let k be d(-4). Let t = 254 - k. Solve -t*p + 20 = c - 0, 5*c + 2*p - 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 + -1032?\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1\/13, 2287720 in decreasing order.\nAnswer: 2287720, 1\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.5 (b) 1\/5 (c) -15 (d) -3 (e) 13 (f) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 11) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*b**4 + b**4 + 409 - b**2 - 3*b**4 - 1067 + b to the form t*b + x*b**2 + n + u*b**3 + l*b**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c - 3*m = 0, -6*c - 42468*m = -42471*m - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -55 - -0.36075\nAnswer: -54.63925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1566 is divided by 1007?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 AM and 10:23 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1396075*j**6 - 9241*j**2 + 39*j - 1 wrt j.\nAnswer: -167529000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 41.61427ns to microseconds.\nAnswer: 0.04161427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 168*d**4 - d**3 + 282*d**2 - 217058 wrt d?\nAnswer: 672*d**3 - 3*d**2 + 564*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 25*m**3 + 8*m**2 - 3*m + 18. Let y(j) = 24*j**3 + 7*j**2 - 3*j + 16. What is -7*r(l) + 8*y(l)?\nAnswer: 17*l**3 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3860441 + 1651622 = k. Suppose 3*c - k = 7267937. Suppose -3*d + c = -6*d. What is d rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*u**3 + 2*u**2 + 68*u - 24*u**3 - 113*u - u**4 + 77*u to the form x*u**3 + l*u + a*u**2 + y + o*u**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*2*sqrt(700)*-1*4)**2 + -6*(3 + -4 + (sqrt(7) + sqrt(448) + 1)**2).\nAnswer: -108*sqrt(7) + 1609398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 69034*a**5 + 54311*a.\nAnswer: 1380680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -643, -691, -751, -817, -883?\n\"Answer: v**3 - 12*v**2 - 19*v - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -39 + 39. Sort -5, -1, n in increasing order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b\/b**14*b)**47*b*b**1*b**18)**23 assuming b is positive.\nAnswer: b**(-11431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -5688, -45387, -153110, -362871, -708684, -1224563, -1944522?\n\"Answer: -5669*p**3 + 2*p**2 - 22*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4916924 or -4916935?\nAnswer: -4916935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 + -1. Let h(j) = j**2 - 20*j - 104. Let w be h(25). Let m(n) = -n**3 + 22*n**2 - 25*n + 79. Let v be m(w). Put 0, o, v in ascending order.\nAnswer: v, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/4*2527\/1083.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8316, 8333, 8352, 8367, 8372, 8361?\nAnswer: 8328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 24 = 1122. Let g = m - 573. Solve 3*y + 5*o + 7 = g, -3*y - 2*y + 15 = -5*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 53822 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/8 and 8\/85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -68*w + 10798. Calculate y(156).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the second derivative of a**4\/60 + 3*a**3\/5 - a - 2. Factor f(x).\nAnswer: x*(x + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 13 = o + 33, 4*n - o + 29 = 0. Let f be (-12)\/28*-7 - 7. Sort n, -1, f in decreasing order.\nAnswer: -1, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26107 + 39803. What are the prime factors of c?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 1743102.9 months?\nAnswer: 145258.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -2\/631 (c) -1\/133 (d) -12.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2.6 or 0.53?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f\/(f\/(f*f*(f\/(f*f*f**(-1\/4)*f*f))\/f)))\/f*f)**(1\/29))**(-22) assuming f is positive.\nAnswer: f**(77\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 3*i + 26. Let y be z(11). Let n = y + -42. Calculate the remainder when 65 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4 - 0 - 3)\/(-21). Are d and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s = 11 - 155. What is the least common multiple of (-576)\/(-120)*(-38)\/(-18) - 6\/45 and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3*v - 4, -2*f + 0*f + 4*v = 2. Suppose -132 = -d + 3*d - 4*s, 5*s = -3*d - 209. List the prime factors of (1 - f)\/(-4) - d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h + 5*h - 12*h + h + 0*h + 0*h + (1 + 2 - 1)*(-h + 3*h + 0*h) + (3*h + 10 - 10)*(-1 + 4 - 1).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*k - 3*k - 2*k + (0 + 0 + 2)*(-1352 + 1352 + 185*k).\nAnswer: 368*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -2*q - 3*w + 13, 3*q - 3*w = -6. Let p(t) = 2*t**2 + t. Let g be p(q). Which is the nearest to 2? (a) -1 (b) 3\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7234642*x - 3 - 2613446*x - 1.\nAnswer: -9848088*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 AM and 3:35 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 1785386*l + 7141536. Give t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1.9 (b) 10 (c) -0.465 (d) -0.4 (e) 543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 346284?\nAnswer: 2, 3, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 47523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-76)\/(-4) - (-3 + 7). What is the highest common divisor of 105 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 314805683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -475 - -436 - (-27 + -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**3 - z**2 - 1. Let f(l) = 18*l**3 - 2*l**2 - l - 2. Give -f(v) + 2*g(v).\nAnswer: -16*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 297758.4 decades in centuries?\nAnswer: 29775.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (48 + 442 + 239)*(m + m + 0*m) - 257 + 130*m + 257 as n + j*m and give j.\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/4122612 and 5\/3289.\nAnswer: 45348732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-570)\/((-36)\/6)*-1 - (-116 + 95)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 398771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 88, 180, 272, 364, 456, 548?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve f**3\/8 - 5*f**2\/8 + 3*f\/8 + 9\/8 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from axlxlns. What is prob of picking 1 n and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 + 7*k**2 - 3*k + 10. Suppose s - 12 = 5*t - 59, 0 = 10*s + 70. Calculate r(t).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -21*a**3 - 5*a**2 + 5. Let d(r) = 41*r**3 + 9*r**2 - 9. What is 4*d(h) + 7*i(h)?\nAnswer: 17*h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - (-1426)\/31)*(32\/(-256))\/((-2)\/(-8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -12 and -0.07739.\nAnswer: 0.92868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 34 + 9 = -5*z, 0 = z + 5*g + 13. Let a be 1\/(-2 - 15\/z). Let y = a + 14. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1, -14, -2\/77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 275 + -251. Solve 0 = -14*j + u*j - 11*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 139561494 divided by -139561494.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -69*v + 615 = -144 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 488 and 2000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-374)\/(-935) - 11\/(-170)*-8)*-3.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -21337 rounded to the nearest 100?\nAnswer: -21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1639397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000001854 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -447135 (base 8) to base 15.\nAnswer: -2eba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/5*2\/522*6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a**3 + 34712*a**2 - 55268*a?\nAnswer: 6*a + 69424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/10 and 17\/202?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 809*o - 12. Let t(q) = -2022*q + 30. Give 12*m(x) + 5*t(x).\nAnswer: -402*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes after 12:47 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 81 + -57. Suppose 12*y - 9*y = 39. What is the remainder when c is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9597\/25135 + (-48)\/120.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 824*p**3 + 46690*p**2 - 23348*p**2 - 2*p - 23340*p**2 to v*p**3 + o + s*p**2 + f*p and give v.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1291778 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 - -143?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -28 (base 11) to base 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6432 and 514158.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 47138 and 905814.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve g**4\/8 - 285*g**3\/4 - 143*g**2\/2 + 285*g\/4 + 571\/8 = 0.\nAnswer: -1, 1, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -528 - -2642\/5. Let b = -0.1 + 0. Let h = 4.9 - b. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 116 = 2*s, -2*s = p - 4*s + 108. Let u be (-7)\/p*-4 - 13\/(-4). Solve 0 = u*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 34284 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 + 5*v**2 + 19*v - 30. Let k be r(7). Do -39 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from swnsnzrnznrnszn. What is prob of sequence rzz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together 3094 and -247.\nAnswer: 2847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -2\/3, 337, 0, -2, -41, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that z**2 + 10521170*z - 10521171 = 0.\nAnswer: -10521171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**2. Let y(i) = 2*i**2 - 34*i. Calculate g(y(b)).\nAnswer: -4*b**4 + 136*b**3 - 1156*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 73 + -49. Let g = 66 - q. Suppose -2*i + g = -i. Calculate the remainder when i is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 - r**2 - r. Let k(f) = -f**3 - f**2 + 2*f. Let h(n) = 2*j(n) + k(n). Let q be h(2). Put -3, -2, q in decreasing order.\nAnswer: -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 887 - -2211. Suppose 3727 = 7*i - x. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 2.5, 2\/25, 2\/67?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(931))*1 + 1*sqrt(931)*5)**2.\nAnswer: 84*sqrt(19) + 33517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-25)\/275*22)\/((-6)\/5). What is the third smallest value in -1, g, -0.04, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q - 3. Let p be o(7). Let x be p - -2*5\/10. Suppose 10*n - x*n - 85 = 0. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.08*0.0083253\nAnswer: -0.000666024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 64 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 1 - 4 = 0. Calculate the remainder when 77 is divided by (-6)\/((-18)\/69) - t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 227 by 1022.\nAnswer: 227\/1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be 79*-3*(19 + -17). What is the tens digit of ((-16)\/(-24))\/((-2)\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 32*b - 27*b - 100. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 133 (base 7) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-4) - (-11 + 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 553013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be 9\/6*-2 + -21. Let x be (-4472)\/k - 1\/3. Suppose i + i + x = 5*u, 4*i = 5*u - 192. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -487 (base 11) to base 14\nAnswer: -2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 47 + -29 + (-30 - 26)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 533483*w**6 + 1534514*w**2.\nAnswer: 64017960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 12517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 2*n = -39 - 41, -3*b = -4*n - 38. Suppose 91 = b*k + 1. Calculate the remainder when 21 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 89 - 82. Suppose -n*d = -11*d + 40. Suppose -7*u + 428 = 4*y - 3*u, d = 5*u. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -9 - 4*c + 21 - 9 - 12. Let u(q) = -5*q - 10. Calculate 6*f(g) - 5*u(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2043 is divided by 674.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, x: 1, z: 2, h: 1, b: 2, q: 1}. What is prob of sequence zz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 271612088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 3*s**3 - 38*s**2 + 60*s - 58. Determine y(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a + -d1?\nAnswer: -db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 360464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u, 1 h, and 1 v when four letters picked without replacement from hdvuubb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11654, -23306, -34986, -46694, -58430, -70194, -81986?\nAnswer: -93806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4429\/(-17510) - (-2)\/(-10)*-2. Suppose 5*y - 3*y + 2 = 0. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/((27\/(-24))\/(-3)). Let u be 4\/b - (-24406)\/40. Let c = 127879\/210 - u. Find the common denominator of c and 19\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-75)\/(-30) - 32\/12) + 3 + -3\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -327 at most -327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*p - 240094 - 46753 = 0. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 6 (c) 22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102 - -98. List the prime factors of 0 + (1 + l)*-98.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of -s**6\/30 + s**5\/30 - s**3\/6 - 281*s**2. Calculate b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 656036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7770 and 51675?\nAnswer: 26767650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 19511\/10 or 1950?\nAnswer: 19511\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -376 + 696. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 4410366248 divided by -2\nAnswer: -2205183124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.21 - -2.79. Let w = -2 - -3. What is the nearest to -0.1 in 4, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.9971 + -0.0029. Which is the closest to -2\/11? (a) n (b) 2 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 2*v + 5. Let h(q) = q**2 - q - 2. Let a be h(3). Let z be i(a). Calculate the highest common factor of 117 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 4*w - 4. Calculate the least common multiple of 36\/9 - (-9 - -1) and x(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 2, s: 1, v: 1, p: 1, w: 2, y: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 4 = 2*s, 4*s + 0*s - f - 7 = 0. Suppose s*h = 8*h. Let x(w) = 2*w**2 + h*w**2 + 2*w**2. Let i(y) = -y**2. What is i(x(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {n: 5, i: 3, p: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n + 24. Let t(g) = -6*g - 133. Let j(f) = 4*t(f) + 23*w(f). Give j(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.24 - -0.16. Let r = 0.98 + -1.58. Let i be 72\/(-45) + 6\/10. What is the second smallest value in r, i, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1022621921 rounded to 5 dps?\nAnswer: 0.10226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000001560147 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 863217753?\nAnswer: 3, 79, 3642269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 1 (c) -25732 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of x**5\/25 + 643*x**4\/20 - 43*x**3 - 643*x**2\/10 + 644*x\/5 - 3987. Factor c(s).\nAnswer: (s - 1)**2*(s + 1)*(s + 644)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/(-2) - (1494\/(-27) - 7). Let n = b - 66. Let t = 1 + 0. What is the third smallest value in t, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 121.7 + -121.2. What is the nearest to y in 0, 21, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 931*q + 671. List the prime factors of g(5).\nAnswer: 2, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -21 + 34. Let z = s - 13.3. Let q = 1.1 - 0.1. Put 5, q, z in decreasing order.\nAnswer: 5, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -60.1 - 15.9. Let u = 131 + p. Which is smaller: u or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -43\/8225 and 163\/750.\nAnswer: 246750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 231 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -63*g**4 - 29*g**3 + 2*g + 20050?\nAnswer: -252*g**3 - 87*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -25, 30, 85, 140, 195?\n\"Answer: 55*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - a + 5 = 0. Suppose 3*t + a*t = 16. Suppose 3*c - 7*g - 1453 = -t*g, -c = 2*g - 477. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d. Let c(w) be the second derivative of 11*w**3\/6 - 14*w. Determine p(c(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2963 - -2967. Solve 0 = -5*l + 2*v - 20, 31 = -5*l + 5*v - x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -682651, -684900, -687161, -689440, -691743, -694076, -696445?\nAnswer: -698856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5140787 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 2*d**2 + 4*d - 407. Determine g(22).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -40*z + 42*z. Let o be (z\/2)\/4*29. Suppose -128 = 21*i - o*i. Solve 0*y + 4*y = i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes before 8:38 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -d = 2*r - 15, -2*d + 941*r - 939*r = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 147*k**5 - 285*k**4 - 17511*k**3 + 85365*k**2 + 5292*k = 0.\nAnswer: -12, -3\/49, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 100791 + -0.5\nAnswer: 100790.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*v = 15 + 20. Suppose -2 = 4*m + 2. Let n = m + 0. Sort n, -5, v in increasing order.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2144350926.\nAnswer: 2, 3, 119130607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.06585 * 0.3\nAnswer: 0.019755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 13) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/29, -3, 0.4, -30318?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 4771.\nAnswer: 5\/4771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 47*p**3*v**2 + 2*p**3 + 117415*p**2*v - 765762*p*v**2 - v wrt v?\nAnswer: 94*p**3 - 1531524*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (2 - 9) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -536102 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 38495287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 15*s**2. Let k(u) = -11*u - 391. Let c(z) = -3*z - 128. Let h(q) = -14*c(q) + 4*k(q). Determine g(h(m)).\nAnswer: 60*m**2 - 13680*m + 779760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -418*h = -355*h - 126 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 2*g = -85. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*y + 4*y - 828 = 19*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2298601 to 3 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {p: 5, a: 1, z: 2, x: 6, u: 5}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6737*5.5.\nAnswer: 37053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-84*65\/(-3640))\/(3\/(-20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 30*i**2 - 1443 - 2*i + 3*i + 1444 as d*i + v + j*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1*(7 + (-3)\/1). Suppose g*o = -5*j + 160, 2*j - 78 = 3*o - 5*o. Calculate the remainder when 54 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 722.0288cm?\nAnswer: 7220288000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 602 minutes after 9:41 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2\/11613 and -14\/1235.\nAnswer: 14342055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llljllgllgjllllljgl. Give prob of sequence gg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 25, 52, 103, 184, 301?\n\"Answer: r**3 + 6*r**2 + 2*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001 + 10101000111110010?\nAnswer: 10101000111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((252\/208)\/7)\/((-786)\/(-1048))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 35300, 111775, 239234, 417677, 647104, 927515?\n\"Answer: 25492*q**2 - q + 9809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12371864 is divided by 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -8.28 (b) 1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -125*z - 479. Let u(m) = -166*m - 639. Calculate 11*n(h) - 8*u(h).\nAnswer: -47*h - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/3975 and -14\/555.\nAnswer: 147075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00225269428 to 5 dps.\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(-2)*32\/(-12). Let c(b) = -b - 4. Let w be c(-6). What is the nearest to -0.1 in w, z, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -183*k**2 - 2*k. Let a(f) = -14*f**2. Calculate q(a(y)).\nAnswer: -35868*y**4 + 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -18*t**3 - 331*t**2 - 1257*t + 35. What is z(-13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 125102293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -3*z + 32, -12*z - 2*k + 6 = -11*z. Suppose -2*u + 8 = -3*u - 5*d, -z = -2*u + 3*d. Solve 3*b - 16 = u*t, 2*t + 0*t = -3*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the first derivative of 5*s**5 + 5*s**4\/2 - 55*s**3\/3 - 20*s**2 - 640. Solve z(w) = 0.\nAnswer: -1, 0, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9\/674 or -1?\nAnswer: 9\/674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 1 + 5 = 3*b, 5*b + 8 = 4*a. Is (2 - -11 - 2) + b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -3*f + 29. Suppose 4*k = -2*k + 54. Let r be o(k). Suppose r*t + t - 573 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - u = -19, -9*l = -10*l + 5*u - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 12 = 0, s - 3*y + 4*y + 3 = 0. Suppose 0 = -s*q - 2*q. Suppose q = -2*d - 0*d + 16. What is the remainder when 22 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 31174 and 860860.\nAnswer: 93833740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/10 - (-202)\/(-5). Let w be (48\/z)\/(2\/(-10)). Suppose -s + 4*y = 1 + 2, -2*s + w = -5*y. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from thwohnnnwnho. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b = 3*y - 68 - 27, 5*y + 2*b = 181. What is the smallest common multiple of 1 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -9 + 13. Suppose -1 = 5*h - b*s + 132, -2*h + 4*s = 46. Let q = h - -44. Calculate the greatest common factor of 135 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 191 + -646?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - (-5 + (17 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 120 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -119 (b) -5 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x = 4*x + 8. Let l = 2423\/4 + -602. Calculate the common denominator of (-314)\/(-60) - x\/(-6) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 34*i. Let q(x) = 3*x**2 + 4*x - 2144. Determine q(v(l)).\nAnswer: 3468*l**2 + 136*l - 2144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1072224011 to the power of 1\/2, to the nearest integer?\nAnswer: 32745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4060876559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 3 = 0, 2*y - 6 = 3*l - 7. Solve -4 = -t - y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3\/25 - -81\/50. Which is the closest to -4? (a) u (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of v**8\/84 - 7*v**4\/24 - 4*v**2 + 3*v. Let t(w) be the first derivative of p(w). Find the second derivative of t(i) wrt i.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qcq when three letters picked without replacement from qqccccqccqcqc?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -649322.75 times -2?\nAnswer: 1298645.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-28)\/(-70))\/(3\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-536)\/(-201))\/(8\/3). Let a = -50757678\/5 - -3356554495732\/330645. Let f = a - 1\/1407. Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*i**4 - 4*i**3 + 52*i**2 + 100*i + 48.\nAnswer: -4*(i - 4)*(i + 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-34)\/72 + 24\/108)*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6486 and 1104782?\nAnswer: 3314346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 143 + 2728?\nAnswer: 286b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*s**3 - 2 + 0*s**2 - 9*s**3 - 5*s**3 - s**2 - 4*s**3 to x*s**2 + o*s**3 + n*s + y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 53108 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 314 divide 458138246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 3 = m - 3, 2*m + 3*v = -15. Let g = -35.06 + 31. Let s = -0.06 - g. Which is the closest to 0.1? (a) -0.2 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.459194 plus -4314.38?\nAnswer: -4316.839194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttcicitttjcit. Give prob of picking 1 i and 1 c.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*g + 7*g + 2*g)*((2 + 1 - 5)*(2 + 5 - 5) + 1 - 4 + 5).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4*z**2 - z + 4. Suppose 2 - 12 = -5*i. Suppose 0 = -i*p - p + 27. Let l(g) = -17*g**2 - 4*g + 17. Determine p*w(r) - 2*l(r).\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -54 - (22 - (6 + 0 + 33))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 - 12 = 3*i. Let m(n) = -2*n**3 + n**2 + n. Give m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*z = 27 - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 24 = 2*r. Let a = -6 + r. Suppose 0 = j + 5, 0 = -4*w - 0*j - a*j - 12. Is w <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j - 1. Let y be v(4). Let w = 8 - y. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o - 3. Let k be t(-3). Suppose k = 5*a - 4 - 6. Suppose u = 32 + a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the third derivative of 9*c**5\/20 - c**4\/24 - 32*c**3\/3 + 35*c**2. What is the second derivative of m(t) wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 0*r = 3*r - f + 14, -4*r - 3*f - 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -229 at most -37938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 949 - 939. Calculate the lowest common multiple of j and 138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13.10839 decades to millennia.\nAnswer: 0.1310839","meta":{"dup_signals":{},"source":"measurement__conversion_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: Round 118071556 to the nearest 100000.\nAnswer: 118100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 0 - (14*-1 + 1) is divided by (-2)\/((-48)\/150) + 9\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (238*x - 127 - 650*x + 124)*(0 + 1 + 0)*(-x**3 + 4*x**3 - 4*x**3) as m*x + k*x**2 + g*x**4 + i*x**3 + w and give g.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 10645542.1 - -8508?\nAnswer: 10654050.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -123*k - 134*k - 480*k - 936*k to r + f*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -0.06 (b) -0.0071 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -76 + -16 + 40 + 12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1987 = 4*s + 3*w, -4*w + 2364 + 121 = 5*s. Factor -4307 - s - 3*i**2 + 240*i + 0*i**2.\nAnswer: -3*(i - 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 - 12. What is the nearest to -2\/7 in -1, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -6*r**2 + 2*r - 2. Let b(s) = -12*s**2 + 5*s - 5. Let l(c) = 2*b(c) - 5*k(c). Let m(q) = -101 + 19*q + 3 + 98. Determine m(l(p)).\nAnswer: 114*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 53 - (-10 - 92 - -88)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2338039?\nAnswer: 11, 43, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 4*r + 348, 3*k + 2*k - r = 597. Suppose -w = w - k. What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.7 - -0.3. Let t = -0.4 - 0.1. What is the closest to -0.2 in f, 1\/4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 PM and 11:01 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 800671590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**2 + 250*p - 1223. What is a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lbbllblllllllllllbb. Give prob of picking 1 l and 3 b.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 287 + -273. Let i be (-1)\/5*6\/(-9). Which is the third biggest value? (a) i (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 71.22606 nanometers?\nAnswer: 0.00000000007122606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2833, 11239, 25249, 44863?\n\"Answer: 2802*a**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 + 2*s + 1. Let r = 57 - 41. Suppose -v + 3*o = 10, -5*o + r = -v - v. Determine t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.16? (a) -3\/4 (b) 0 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*h - 6 = -6. Suppose -6*x + 9*x - 192 = h. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i + 14. Let y be u(8). Let m be -1*3*y\/9. Let o be (3 + m)*(-2)\/(-1). Solve 7 = -o*a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 17*v - 3. Let w(s) = -7*s. Determine f(w(a)).\nAnswer: -119*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -9 (b) 3 (c) -8142.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17151*j - 24277 wrt j?\nAnswer: 17151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - 14\/(-189)*57.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 100111100011001001111?\nAnswer: 100111100011001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 0 = 1. Let p be s\/(-2) - (-15)\/6. Sort -4, -5, p.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3734 - 7467 + 3733 + 15*o - 4*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**2 + 1024*m - 150043. Give d(130).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1305, -5, 19903.\nAnswer: -1305, -5, 19903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100110001 + 11?\nAnswer: 100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001027781 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, 0.05, -4.8, 0.223, -0.07, -4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9474803 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.7 + -28.3. Let c = -34.3 - d. Let t = -16\/9 + 130\/63. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 34 and 4250?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (19\/(-21) - -1)*-3*-2. What is the nearest to -3 in 0.1, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*r - 3*r + 2*r - 2 + (4*r - 8*r - 2*r + (-3 + 1 + 1)*(-r + r - 5*r) + r - 2*r + 0*r)*(-5 + 4 - 5).\nAnswer: 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uwuwuuwuwuuwwwww.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 10*h + 2. Let a be o(-7). Let l be (51\/a)\/(6\/4)*-4. Solve 0 = l*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27969\/10 - -2801. Find the common denominator of -23\/11 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1\/91 - -51\/91. Factor o + 6\/7*m + 2*m**3 - 24\/7*m**2.\nAnswer: 2*(m - 1)**2*(7*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 5*k - 248, 3*k - 80 = -9*z + 8*z. Suppose 8*p = 6*p + z. Suppose 57 = 4*u - p. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the first derivative of 1\/7*v**2 + 2 - 2\/21*v**3 + 4\/7*v. Factor a(y).\nAnswer: -2*(y - 2)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, r: 5, g: 6}. What is prob of sequence ggl?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1211 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p**3 - 3*p**2 - 2*p - 1. Let j be k(-3). Let f = 3 - 4. Let o = j + f. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48191 is divided by 831.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 66355492 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (31*327\/(-108128))\/((-1)\/(-4)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 13) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*f - 129*f - 260 = -2600 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 538541.3 millennia in decades?\nAnswer: 53854130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3*193.26803\nAnswer: -579.80409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -40753, -40759, -40769, -40783, -40801?\n\"Answer: -2*r**2 - 40751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -384 - -384.000000864. What is f rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 39*s**3 + 5*s**2 - 2*s. Let z be x(1). Suppose 28*c = z*c - 84. Solve -c*k + 15 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*d**2*o*x + 109*d**2*o - 3*d**2*x - 5057*d**2 + 2*d*o*x wrt o?\nAnswer: 3*d**2*x + 109*d**2 + 2*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 3 q when four letters picked without replacement from {r: 3, q: 4, v: 11, n: 1}?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -55 by -10.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, 0, -2\/15, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 18 = -5*s - 4*r, 2*s = 5*r - 21. Find the third derivative of 2*j**4 + j**2 - j**2 - j**s wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 2*p = -18, -21*d + 4*p = -23*d - 12. What is the remainder when (-48)\/(-32) - d*302\/(-8) is divided by 25 + 0 + 1 + 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/8*8\/(-24)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 37993895*p. Let u(a) = -5*a. What is d(u(h))?\nAnswer: -189969475*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -2*m**2 + 1\/24*m**4 + 0 - 1\/360*m**6 + 1\/9*m**3 + 0*m**5 + 0*m. Factor d(x).\nAnswer: -(x - 2)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes before 6:28 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 140803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kw when two letters picked without replacement from skwwppwwwwwp?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*sqrt(15)\/(sqrt(108)\/sqrt(4)))**2*3.\nAnswer: 320\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 5*c + 11 = -0*z, 3*z = -5*c + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (72*q + 37*q + 70*q)*(0*q**3 + q**3 + q**3) + 2*q**4 - 4*q**4 + 3*q**4 + (2*q + q - 2*q)*(0*q**2 + 0*q**2 - 5*q**3).\nAnswer: 354*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes before 10:57 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -17*r**2 - 161*r + 147. What is u(-10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(315)*-1*-5)\/sqrt(7))\/(1*sqrt(225) - (sqrt(9) - sqrt(225)*2)).\nAnswer: 5*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -55, -113, -171?\n\"Answer: -58*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 19 and 83695.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 129, 5, 0.1, -1\/4, 2\/7 in descending order.\nAnswer: 129, 5, 2\/7, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.27 + 498218230.\nAnswer: 498218233.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(4\/5)*-4. Let n be (-40)\/12 + (-2)\/3. Let g(r) = 2*r**2 + 2*r + 1. Let h(y) = -y**2 - 2*y - 1. Let b(i) = l*h(i) + n*g(i). What is b(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*i**2 - 22*i**2 + 16*i**2 + (7*i - 2 + 2)*(2*i + 2*i - i) to z*i + m*i**2 + c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 5*l = 23, -4*d + 212*l - 207*l = -16. Sort -8, -2, 3, d in ascending order.\nAnswer: -8, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 140 divided by -28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h**3\/7 - 17748*h**2\/7 - 776556*h\/7 - 8526144\/7 = 0.\nAnswer: -5872, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(2\/9)\/v)\/v**(1\/6) assuming v is positive.\nAnswer: v**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 14*j**3 + 42*j**2 - 66*j - 29. Is s(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1212 + -1194. What is the remainder when 206 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7731 = 18*q + 7893 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*c = 488 + 341 - 329 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/3*-6*(-7)\/28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 PM and 8:18 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from {z: 18, e: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 43952*z - 84800*z + 43249*z in the form b*z + q and give b.\nAnswer: 2401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11795511?\nAnswer: 3, 7, 13, 43207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in twenty-five quarters of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3546205 (base 9) to base 15.\nAnswer: -27ded8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -114001*n + 113930*n = 20 + 1329 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 13, 23, 49, 97, 173, 283?\n\"Answer: j**3 + 2*j**2 - 3*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 214131.3 minutes to hours.\nAnswer: 3568.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 + 8*d + 25. Let a be v(-4). Suppose a = x + 6. What is the common denominator of -67\/16 and x - (27\/(-192))\/(6\/(-120))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 + 23. Let m = 10 - y. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s + 6*s - s - s. Let j(o) = -147*o. Give j(v(q)).\nAnswer: -441*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43, -58, -85, -124, -175, -238?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + -7a4?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 117, 118, 121, 126, 133, 142?\n\"Answer: y**2 - 2*y + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l = -2*l - 99. Calculate the lowest common multiple of l and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + -12a4?\nAnswer: -129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5314 and 1480376777.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -265, -531, -797, -1063, -1329?\nAnswer: -1595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -4*z + 41. Suppose 24 = 4*k - 8. Calculate the least common multiple of z and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.039 + -0.201. Let z = x + 1.18. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 61008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -223 + 233. Does 8 divide (9 - a)*(-3 + 100\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 * 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 331789, 663665, 995541, 1327417, 1659293, 1991169?\n\"Answer: 331876*a - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1002201 + 110212?\nAnswer: 1120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 - 4*u - 3. Let r be w(-3). Suppose r*b + 23 = -b + 5*k, 5*k - 14 = -2*b. What is the tens digit of ((-12)\/(-8))\/(b\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 + 1)*(7368\/168 - 44)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -19 (b) 70 (c) 2\/3 (d) 0.12 (e) 1 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 4*v**3 + 2*v - 3. Let b(a) = 11*a**3 + 2*a**2 + 5*a - 8. Let d(z) = 3*b(z) - 8*m(z). Calculate d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(-3)*6\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*p - 485 + 997 = -1468 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*(-2*sqrt(66) + sqrt(66)))\/(sqrt(6) + sqrt(384) + sqrt(384) + sqrt(384)*2) - (3 + 2 + sqrt(704) + sqrt(704) + (-1 + sqrt(704))*-1))**2.\nAnswer: 1072*sqrt(11)\/11 + 75388\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 64\/(-24)*42\/(-8). Let x be (-10)\/(3 - n\/4). Suppose 3 = 2*p - 2*w - 1, -x = -5*p - 5*w. Solve -2*f = -3*h - 14, 3*f = p*h + 6*f + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -13*g**3 - 2*g**2 + 9. Let y(t) = 52*t**3 + 9*t**2 - 36. Let f(m) = -9*i(m) - 2*y(m). Differentiate f(z) wrt z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -db (base 14) in base 6?\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 929525562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -23*z**2. Let r(i) = -14*i**2. What is v(r(w))?\nAnswer: -4508*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -500472 + 1?\nAnswer: -500471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -13\/426575 equal to 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -170 + 198. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from jwwwwjww.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -14 + 105*m + 10 + 4 - 115*m. Let b(t) = 11*t - 1. What is f(b(r))?\nAnswer: -110*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 29240 and 4730.\nAnswer: 321640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 21596615501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be 65\/25 + (-3)\/5. Suppose -t*a = -3*l - 2*l + 23, 0 = -2*l + 3*a + 18. Suppose -2*i = -l*i + 18. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/7 - 0 - (-6 - 2647080\/70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11304 + -226131\/20. Find the common denominator of r and 29\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/21)\/((-1)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 + k. Suppose 12 = r + 2*n, n + 0 + 4 = 2*r. Let y be r*(0 + -1)*1. Calculate the remainder when 35 is divided by x(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 11.8. Which is the closest to 1? (a) 3 (b) j (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -37.4 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 157813 is divided by 532?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1 + (3 - 1 - -3) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be 82838\/(-110) + 1\/(-5). Let y = 752 + a. Calculate the common denominator of y and ((-8)\/10 - 3) + -1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2219, -8882, -19995, -35564, -55595, -80094, -109067, -142520?\n\"Answer: -t**3 - 2219*t**2 + t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60 and 750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -0.07 (b) -3 (c) 6136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) be the second derivative of -13*s**6\/120 - s**5\/5 - s**2\/2 + 12*s. Let j(t) be the first derivative of l(t). Find the third derivative of j(p) wrt p.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -1864*m**2 - 64*m + 30. Let a(t) = 266*t**2 + 9*t - 4. Give 15*a(x) + 2*k(x).\nAnswer: 262*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3052255 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/3 (b) -2\/7 (c) -3\/16 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 111 - 3201113030?\nAnswer: -3201112313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6232?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 5*d - 28 + 0*d - 3*d + 21 + 119 in the form k + x*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 1026*a - 16356. What is w(16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 54065962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -39 - -41. Suppose -4*w = i - 64, 5*i + h*w + w = 286. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b = -46 + 43 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -f + 16. Suppose 0 = -3*b + b + 18. What is the smallest common multiple of (-2)\/(-4)*f*1 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 17, 5, -26077, -6 in decreasing order.\nAnswer: 17, 5, -1, -6, -26077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 t when three letters picked without replacement from wwteeteewwwwwtwtwew.\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (20\/6)\/((-56)\/(-168)). Let u be (-264479997)\/12 - (10\/i)\/4. What is u rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -142399, -569618, -1281637, -2278456?\nAnswer: -3560075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -211 - -215. Suppose 7 + 6 = 5*v + j, 20 = 4*v + g*j. Solve -6 = -4*y - v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 5*a - 14, 5*q - 14 = -a - a. What is the third derivative of h**3 + 2*h**2 - h**3 - 11*h**q + 3*h**3 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/(sqrt(24)\/sqrt(4)) + (-2 + sqrt(11))**2*-6.\nAnswer: -90 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-72)\/(-16)*(-2)\/9. Which is the second smallest value? (a) -0.5 (b) 0.5 (c) 2\/169 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 985121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 165 + 35049 + 7042 = 1112*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*a = -79 + 235. Let t be (0 - 12\/9)\/(16\/a). Which is bigger: t or 4\/49?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/(-1)*0 + 2. Let f(o) = o + o - t + 0*o. Let u be (1 - (-16)\/(-12))\/(290\/(-4350)). Calculate f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sbb when three letters picked without replacement from sbbbbsbbssssb?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23389, 23402, 23423, 23452, 23489, 23534, 23587?\nAnswer: 23648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4634955727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -1, 1 in decreasing order.\nAnswer: 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:57 PM and 11:06 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.4? (a) 27 (b) -6 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -695*d + 661*d = 374 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 345?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1223 + -1835. Let d be ((-1172)\/(-20))\/(184\/1955). Let a = d + m. What is the common denominator of -7\/12 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 64? (a) -2\/119 (b) 1 (c) 13.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) -0.7 (c) -39600\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add -0.01 and 74024.\nAnswer: 74023.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -3*q + 14. Let p be t(4). Find the third derivative of 6*k**5 + 228*k**4 - 114*k**4 + 8*k**p - 114*k**4 wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10101 (base 2) to base 6.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -4*r + 143. Let i(u) = -u + 10. Let k(g) = 8*g - 65. Let t(l) = -13*i(l) - 2*k(l). Give t(j(m)).\nAnswer: 12*m - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (1*sqrt(5700))\/(sqrt(36)\/(sqrt(36)\/sqrt(3))).\nAnswer: -5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -2*o**3\/3 - 6586*o**2\/3 + 293746*o\/3 + 100110 = 0.\nAnswer: -3337, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4\/(-5))\/(-2))\/(4\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-8))\/(9\/240*5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 391857 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -3*v. Let r(q) = 40*q**2 - 30*q. Give -7*r(m) + 70*z(m).\nAnswer: -280*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 50 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -39, -5\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 10*v**2 + 3*v - 17. Let k(z) = 8*z**2 + 2*z - 17. Give -3*k(c) + 2*s(c).\nAnswer: -4*c**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1 + -2 - (-72 + 9 + 0). What is the greatest common factor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve c = -5*m - 11, 977*c - 975*c - 3*m = -22 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 - 79*t - 787. What is the remainder when 1272 is divided by x(-13)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -412 + 0.115799974\nAnswer: -411.884200026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -3324853 (base 11) to base 9.\nAnswer: -11871011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1830\/610)\/(2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 127033 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -1.1, 2, 1\/3, 0, 4, 30, 214 in ascending order.\nAnswer: -1.1, 0, 1\/3, 2, 4, 30, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -7888, -15777, -23666, -31555?\n\"Answer: -7889*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - 35?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 20 = -5*a, 0 = 5*k - 3*a - 30. Let m = -7 - -13. Solve -m*l = -k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 3) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 910\/(-26) - (28\/(-196) - 208\/14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/100*16\/12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c + 5*v - 18, 3*v = -3*c - 0*v + 18. What is the derivative of 3*r**2 + 0*r**2 - 4*r**2 - 3 + 5*r**c wrt r?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g = -2*w - 10*g + 4, 5*g = 0. Let s(v) = v**3 - v**2 + 3. Let k be s(0). Is w + 1 + -582*(-2)\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -20*u**4 - 7*u**4 - 16*u**4 + (-3*u + 5*u - 3*u)*(-u**3 + 3*u**3 - 3*u**3) to the form n*u**4 + r + k*u**3 + h*u + m*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (((-261)\/(-6))\/3)\/(3\/18).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15 + 20. Suppose f*j = 3 - 18. Suppose -3*l = 12 - 3. Is j less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1.551*-0.2.\nAnswer: -0.3102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7417586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 21, 44, 57, 54, 29, -24, -111?\n\"Answer: -g**3 + g**2 + 27*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 60630104329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -53549 and -53531 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 28\/174*872\/(-763). Is 0 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**3 + 10*o**2 - 5*o + 6. Let f(b) = b - 1. Let w(u) = a(u) + f(u). Let p = 4 - -5. List the prime factors of w(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-4)\/(-12)*-9)\/1)\/((-3)\/(-47))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(980)*-1)\/(5*sqrt(64)*6).\nAnswer: -7*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(5795\/(-1931) + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -3*h + 14, 3 + 2 = 2*u + h. Sort -3, -1, u in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4*((-2 + sqrt(11))**2 + 4) + 5.\nAnswer: -16*sqrt(11) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -4*p**3 + 0*p**3 + 0*p**3 + (0 + 0 - p**3)*(-4 + 4 + 2)*(-4 - 12 - 1) - 2*p**3 + 0*p + 0*p as h + v*p + n*p**2 + r*p**3 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 499, 498, 495, 490, 483?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 21, 0, 23477058 in decreasing order.\nAnswer: 23477058, 21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1377) + 0 + (sqrt(1377) - 2*sqrt(1377))**2 + (-1*sqrt(1377) + -3)**2 + 2 + 4 + (sqrt(1377) + 1*sqrt(1377) + sqrt(1377))**2.\nAnswer: 63*sqrt(17) + 15162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/128 and 101\/22.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of f**4*z**2 - 26*f**4*z - 2*f**3 + 2*f**2*z**2 + 316*z**2 wrt f.\nAnswer: 24*f*z**2 - 624*f*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = 3*n - 121. What is the remainder when 55 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*s + s - 3276. What is the lowest common multiple of s and 27?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {z: 1, w: 3, y: 2, i: 1, o: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9 (b) 0 (c) -4\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 - w**2 + w + 19. Let a be (-2)\/(-2 - -4) - -1. Let i be v(a). What is the greatest common factor of 190 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j + 8. Let s be h(0). Let z be s\/(-10)*(-60)\/8. Suppose z*x + n = 2*x + 16, 5*x - 5*n = 45. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -244003200 divided by 6?\nAnswer: -40667200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -7*w**3 + 9*w**2 + 3*w + 23. Let p(a) = -4*a**3 + 4*a**2 + 2*a + 12. Let j(f) = -3*b(f) + 5*p(f). What is j(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.46, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of y**4 + 70192*y. Suppose -2*l + 7*l - 5 = 0. Determine i(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-9)*(-27)\/(-60)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3732872 to the nearest integer?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 80, 312, 700, 1244, 1944, 2800, 3812?\n\"Answer: 78*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 132 + -65. Suppose 2*i = 77 - w. Find the third derivative of -4*f**3 - f**3 + 20*f**2 + i*f**3 - 22*f**5 wrt f.\nAnswer: -1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 160, 155, 150?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*r - 113*r = 130*r + 15*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(2\/39))\/(z**(1\/9)\/z)*z*z\/z**(3\/2)*z*z\/(z\/z**(2\/7)) assuming z is positive.\nAnswer: z**(6103\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -0.011 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2989 and 240835?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -27*v + 39 - 174 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggwwggwwgggggwg?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 292*-11941\nAnswer: -3486772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 1097 divide 682613735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 677859717 to the nearest integer?\nAnswer: 26036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 11:03 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 1 p when three letters picked without replacement from {p: 9, j: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-11)*(-7887)\/1434\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -2*z**3 - 2*z**2 + 5*z - 3. Determine r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 930707, 1861410, 2792113, 3722816?\n\"Answer: 930703*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**2 - 220*j + 224.\nAnswer: -4*(j - 1)*(j + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 3*u - 1 - 4 - 5*u**3 + 8*u**3 in the form w*u + i*u**3 + q + v*u**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.06 - 0.26. Let h be (1\/(-2))\/(7\/114). Let t = -59\/7 - h. What is the third smallest value in -4, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from efefffef. Give prob of sequence eef.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2223224 is divided by 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*i - 3*i - 328. Let n = i - 78. Solve 14 = n*a - 2*g - 0*g, -3*g = -3*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 240172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-159)\/2385)\/((-62)\/20 - (5 - 8)). Find o such that t*o**4 + 0*o**2 + 4\/3*o - 2\/3 - 4\/3*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7 - -3. Let i be 0 + -2 - ((-26)\/585)\/(2\/100). Which is the closest to -4? (a) -5 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - 0)*(-2 + 4). Let i be (-4)\/(-8)*m\/(-1). Let d = i + 3. Solve d*o = 6*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/788? (a) 1\/4 (b) 3 (c) 4082 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 102 + -107.3. Let i = z + 1.3. Which is the third biggest value? (a) 6 (b) 0.4 (c) -0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/(-8))\/((-525)\/(-875)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8.53 + -0.17. Let b = a + -1.4. Let y = 9 + b. Round y to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, 1\/7, 4, -1, -1\/14 in decreasing order.\nAnswer: 4, 1\/2, 1\/7, -1\/14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -2023 (base 6) to base 5.\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (37\/(-3))\/((-8)\/24) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 12+-37983.9840865\nAnswer: -37971.9840865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 325, 26, 1 in increasing order.\nAnswer: -8, 1, 26, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 8442*s**2 - 8439*s**2 + 1.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) -5 (d) -12 (e) 994\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - 5. Let x = -2 + y. Suppose x = 2*z - 0 - 22. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pdxw when four letters picked without replacement from wxtxttdwwptdxtxw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 49.3 + -47. Let d = -2 + f. Let b = -2\/2555 + -5104\/7665. What is the nearest to -2 in 1, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -14980 divided by -28\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 78 at least as big as 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k*k*((k*k**7)\/k)\/k)\/(k\/((k*k**(-2\/7))\/k)*k))**15\/((k**0*k)**(-1\/17)\/(k**(3\/11)*k*k**(4\/3))) assuming k is positive.\nAnswer: k**(405970\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 8*r**2 - 5 + 36*r**4 + 4*r**2 + 2*r - 35*r**4 as x*r + o + d*r**3 + q*r**2 + i*r**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(3\/2)*q)**(8\/11)*q**(-3)\/q**(-7) assuming q is positive.\nAnswer: q**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together 10416474767 and -42316.\nAnswer: 10416432451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 506, 519, 550, 605, 690, 811?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1161224 + -4644895\/4. Let f = -1 + 5. Let m = 3.5 + -3. Sort m, -4, u, f in descending order.\nAnswer: f, m, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*n**2 - 3*n**2 + 2*n**2 + 3*n**2 + n**2 - 5*n**2 + (0*n + 2*n + 0*n)*(2*n - 4*n + 3*n) + 3*n**2 - 4*n**2 + 2*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11)\/132*((-4)\/(-2))\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83*u + 75*u = -376. Calculate the remainder when 133 is divided by u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 9428015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110504.\nAnswer: 2, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -17 + 1. Let y be -1*(1*n)\/(-4). Suppose -z = -5*v - 19, v = 5*z - 12 - 11. Sort y, v, 0 in decreasing order.\nAnswer: 0, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 42822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, b: 1, r: 1, s: 1, a: 1, e: 2}. What is prob of picking 1 v, 1 a, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f**2 + 1. Let m = 121 + -116. Let a(l) = -7*l**2 - 2*l - 3. Determine m*t(r) + a(r).\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 250 and 100\/2 + -28 + 23?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 35*(-62)\/(-18445)*-3.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 7*v - 26 + 42 - 6*v in the form p*v + i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5 - -4) + -3*1. Suppose x*l - l = 385. Let c = l - 24. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 54 and 92610?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24.1 - 23.967. Let o = v + 0.477. What is o rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -5*z**2 - 3*z - 15. Give w(4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.075623 and -0.7?\nAnswer: 0.0529361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -34*q - 37. Calculate the remainder when 320 is divided by z(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 + 9 + 60*b**2 - 2 to the form m*b**2 + d*b + h and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = a**3 - a**2 + 108 - 106 + 0*a**2. Determine x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 + 63*c**2 + 77*c - 1246. What is a(64)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes before 10:18 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 43 - 2. Differentiate a*s - 4*s + 22 - 27 with respect to s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 65 = q - 61, 4*q = -2*o - 4. Let x(n) = 2*n**2 + n + 6. What is x(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:50 AM and 11:42 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -3*s**3 - 3*s**2 - 3*s + 7. Suppose 2 = 3*m - 4. Let v(b) = -12*b**3 + 10*b**3 + 1 - m*b + 3 - b**2. Let l(f) = 4*p(f) - 7*v(f). Factor l(a).\nAnswer: a*(a - 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = a**2 - 8*a + 13. Determine c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -9*k + 6. Let n be t(-5). Suppose -o + n = -3*x, -39 = 2*x - 0*x + o. What is the common denominator of -77\/20 and x\/4*(-11)\/(-24)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -3 + sqrt(847) + 1 + 2 + 0)**2 + 4.\nAnswer: 44*sqrt(7) + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-7)\/(-8) + 1*(6 - 235\/40). Put 3, g, -9, 0, 2 in increasing order.\nAnswer: -9, 0, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 238423660 rounded to the nearest one hundred thousand?\nAnswer: 238400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 68090 and 3376645.\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(4*sqrt(91)*-1 - (sqrt(91) + ((sqrt(91) + sqrt(91)*1)*-6 - sqrt(91)))))\/((sqrt(700)*-2 + sqrt(700))*5 - sqrt(700)*1*-6).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 - 10*d**2 - 15*d + 1. Let l be n(10). Suppose -2*r + 95 + 415 = 0. Let z = l + r. List the prime factors of z.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6 - -1)\/(-18 + (-637)\/(-39)). Find n such that m*n**2 + 3\/2*n + 3\/2*n**5 - 3*n**3 - 3\/2 - 3\/2*n**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*k - 446 + 1496. Solve -k*a = -168*a + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -12*z + 4. Let n be i(-5). Let r = 112 - n. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10303011313 + 0?\nAnswer: -10303011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (31591 + 21954 - 39683)*(k**2 + 5*k**2 - 4*k**2 + (3*k - 3*k + 2*k)*(-k + 3*k + 0*k)) to the form p*k + h + u*k**2 and give u.\nAnswer: 83172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/8 - (-85)\/20. Let v(q) = -4*q + g*q + 4*q - 3*q. Let m(w) = 5*w**2 - 3*w. Let t(x) = 6*x**2 - 2*x. Let s(c) = 2*m(c) - 3*t(c). What is v(s(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of -h**9\/272160 + h**8\/90720 + h**7\/11340 + h**5\/20 + 2*h**2. Let v(p) be the third derivative of i(p). Factor v(k).\nAnswer: -2*k*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/5, -61\/10, -3, -2\/3?\nAnswer: -61\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of -i**4\/4 - 10*i**3\/3 + 12*i**2 + 2*i + 11. Let l be k(-12). 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: 0.072 * 1353\nAnswer: 97.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does -817257 = -817393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 199\/390 and 71\/897?\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}