diff --git "a/data/dm_maths/full_data_1/10645_11255.jsonl" "b/data/dm_maths/full_data_1/10645_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10645_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -4*a + 2*x + 18 = 0, -3 = 2*a - 4*a - 5*x. Suppose 566 = -3*r + 8*r - 2*h, -a*r + 4*h + 460 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y. Let l(r) = -3 + 3 - 95*r + 45*r. Give v(l(f)).\nAnswer: 150*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 939*k**2. Let z(r) = -289*r**2 + 2*r. Give z(b(w)).\nAnswer: -254817369*w**4 + 1878*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**3 - v. Suppose -4 = -0*i - 4*i. What are the prime factors of a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 128\/7*p + 1\/7*p**3 + 20\/7*p**2 + 256\/7 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780104251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p - 32. Let x = -8 - p. Calculate the lowest common multiple of 22 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 68333, 136634, 204929, 273212, 341477?\n\"Answer: -g**3 + 3*g**2 + 68299*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76550772 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 124\/3 (b) -1 (c) 1 (d) 3 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3821.952 meters to centimeters.\nAnswer: 382195.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 plus -139995599835.6?\nAnswer: -139995599899.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.317134 rounded to 3 decimal places?\nAnswer: -0.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 844172677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Let z be 12*(-8)\/(-16) + -6. Let c(s) be the second derivative of z*s**2 + 0 + 11\/12*s**4 + 0*s**3 - 15*s. Calculate c(g(u)).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464023.0419778 + -464023. Let c = x + -0.0421. Round c to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115722 and 22.\nAnswer: 1272942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -138.1. Let q be (-2)\/(-2 - (-3 - -2)). What is the third biggest value in p, 0.5, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2593, 2613, 2659, 2743, 2877, 3073, 3343, 3699?\n\"Answer: 2*g**3 + g**2 + 3*g + 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p + 1608 = 3*p - 233*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10.2638*-1.13\nAnswer: -11.598094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -5*y**4\/4 - 100*y**3\/3 + 625*y**2\/2 + 305. Factor l(w).\nAnswer: -5*w*(w - 5)*(w + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 109*c**6 + 5*c**5 - 5*c**3 + 53*c**2 + 5*c. Let t(g) = g**5 - g**3 + g**2 + g. Let o(d) = -r(d) + 5*t(d). What is the third derivative of o(s) wrt s?\nAnswer: -13080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + (3*(sqrt(2) + 0) - sqrt(2)) - -2*sqrt(288)) + (sqrt(288) - 2*sqrt(288))*-1)**2.\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1671, -4959, -9839, -16293, -24303, -33851, -44919?\n\"Answer: 3*h**3 - 814*h**2 - 867*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 38. Let m(x) be the second derivative of 13*x**2\/2 + 2212*x. Determine 8*m(z) + 3*q(z).\nAnswer: -3*z - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d. Suppose i - 2*x - 6 = 0, -11*i + 14*i = 5*x + 16. Let p(q) = -i + 13 - 11 + 13*q. Give p(s(m)).\nAnswer: -52*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-26) - (-2809956)\/598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 576938262 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 15*x + 5. Let o be g(7). Suppose -o = -4*n - 2*n. Suppose 2*j = -n*j + 20. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6*k + 96 = -9*k, -k = z - 76. Let u = 27 + z. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 20. Suppose 5*p - 20 = 0, 5*j + p - 11 - 18 = 0. Let u be 2\/3*(-4 - j). What is the units digit of f(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 13*s**2 - 11*s**2 - 7*s**2)*(4 - 4 + 3) + 2*s**2 + 2*s - 2*s.\nAnswer: -13*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65772 (base 8) to base 2.\nAnswer: 110101111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 77*15\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = l + 93 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -724*x**2 - 38717*x**6 + 2548*x**2 + 40967*x**6 wrt x.\nAnswer: 270000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 18, 5 in descending order.\nAnswer: 18, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198815, -397625, -596435, -795245?\nAnswer: -994055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, -1\/7, 1958526, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16099100 divided by 10.\nAnswer: 1609910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**12\/m**(4\/7)*(m*m**(-2\/5))**(4\/41) assuming m is positive.\nAnswer: m**(16484\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -19.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Let t be (-18)\/4 - 4\/(-8). Is -2*(82\/t - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 + 7*o - 27. Let m be w(-8). Let t = m + 21. Find j, given that 0 + 1\/2*j**3 + j**t + 0*j = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1671934 divided by 5\nAnswer: 1671934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2456 divide 11941072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 59 = -k, 52 + 5 = 4*g + 3*k. Let v be (-3 - 1)*(g - 3). Let a = v + 259. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.3. Let z = b - -1.5. Let j = -1.294 + z. Round j to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqqmvimmqqis. What is prob of sequence vm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -154.6? (a) -3 (b) 0.6 (c) 2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(5 + sqrt(162)*1 + 5) + 2)**2*6.\nAnswer: -7344 - 5184*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - b + 8 = 0, -n - 3*b = -2*b - 2. Solve -2*y - n*z - 14 = 0, z = -5*y - 0*z - 19 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v**3 - 11*v**3 - 2*v + 42*v**3 to the form i + c*v**2 + w*v**3 + t*v and give w.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 + d**2 + 2*d + 3. Let s be x(-2). Let g be (-3)\/s*1 + 1674\/42. Suppose -44*b = -g*b - 44. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151889256 to the nearest 10000.\nAnswer: -151890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -39, 0.5, 0.2, -13, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - r)*(-4*r + r + 5*r) - 3*r**2 + 3*r**2 - 2*r**2 + 8*r + 219*r**2 - 400*r**2 + 210*r**2.\nAnswer: 25*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 561239 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -5 (c) 2\/23 (d) -0.3 (e) -6 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17323*j + 17519*j - 8540*j.\nAnswer: 26302*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**5 + 283*w**4\/9 + 475*w**3\/9 - 419*w**2\/9 - 110*w\/3 = 0?\nAnswer: -2, -5\/9, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-512)\/288*9)\/4 + ((-14)\/(-15) - -2).\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 4. Let v(q) = -q**2 + 1. Let c be 6\/4 + (-5)\/(-4 + 14). Determine c*a(f) - 4*v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858 = -5*w + 6*w - 4*a, -2*a = -3*w + 2574. List the prime factors of -3*(20\/70 - w\/14).\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) 1 (b) -41.1 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -6*i + 77. Let h(a) = 2*a**3 - 3*a**2 - 5*a + 6. Calculate the remainder when h(4) is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 100763 = 100699 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 1\/300*p**6 + 3\/40*p**4 - 3\/10*p**3 + 2*p - 21 + 0*p**2 + 1\/25*p**5. Factor f(r).\nAnswer: r*(r - 1)*(r + 3)*(r + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2939567, -2939563, -2939557, -2939549, -2939539, -2939527?\n\"Answer: x**2 + x - 2939569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/5, 8546, 12 in decreasing order.\nAnswer: 8546, 12, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 5, 254 in descending order.\nAnswer: 254, 89, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from fffffkkfffff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 46 + 48 = 0. Let o(b) = 5*b**2 - 29*b + 27. Let q be o(l). Calculate the highest common divisor of q and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -5919, -1, -2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -328803, -328812, -328821, -328830?\n\"Answer: -9*j - 328794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17106 divided by 3\nAnswer: -5702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*r**3 - 25*r**2 + 387*r?\nAnswer: 102*r - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1654 - 39659\/24. Let y = 3308\/2145 + 7\/286. What is the common denominator of f and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-14)\/(-4))\/(11\/(81865 - 3)). Which is bigger: z or -3722?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 53. Let q = o - 25. What is the nearest to q in -1, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-3996)\/(-54) - 10\/(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.883 - 328003.\nAnswer: -328003.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -97020000 rounded to the nearest 1000000?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 - 7*f**2 - 2*f + 6. Let w(d) = 13*d**3 - 22*d**2 - 7*d + 18. Calculate -7*o(i) + 2*w(i).\nAnswer: -2*i**3 + 5*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 0, 2*n = 2*g - 0*n + 556. Let l = g - -621. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-5\/2)*t)\/t*t)\/(t\/t**(-1\/9)))**(-9\/5))**(-3\/11) assuming t is positive.\nAnswer: t**(-141\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 13*t**2 + 4. Let d(p) = -p**3 - 6*p**2 + 1. Let h(u) = d(u) - j(u). Calculate h(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/30 - (-194)\/(-12). Let r(x) = -44*x**2 - 45*x - 6. Let i be r(-1). Which is the nearest to -2\/3? (a) i (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8, -r + 3 = -5*g + 10. List the prime factors of 107\/1 - 9\/r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2982, 2982, 2980, 2976, 2970, 2962, 2952?\nAnswer: 2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + b**2 - 3*b**2 + 9*b**3 + 2*b**4 - 9*b**2 - 6*b to z*b**4 + f*b**3 + j + y*b**2 + l*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 3*w + 18. Let c be (-108)\/(-378) + (-30)\/7. Calculate the remainder when 43 is divided by o(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Suppose 0 = u - g - 18, -f*u - 5*g + 110 = -0*u. What is the lowest common multiple of u and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 924 = -3*f, 6*f - 3*f = -2*n - 924. Let v = f - 26. Let t = -169 - v. What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33.1069824 + 27.\nAnswer: 60.1069824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:33 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 206, 410, 612, 812, 1010, 1206, 1400?\n\"Answer: -c**2 + 207*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26845623 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**4 + 11*s**3\/3 - 5*s**2\/2 + s + 4. Let t be o(4). Let i = -97 - t. Solve r + 5 = -4*r, y + i*r = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.47, -1\/10, 5\/12.\nAnswer: -0.47, -1\/10, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*u + 10*u - 283 = 0, m - 310 = 5*u. Suppose 16*k - 311 + m = 0. Solve 0*z + k = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14829 <= 15929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 4 (b) -5 (c) -4.1 (d) 4244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4244 times -1?\nAnswer: -2.4244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887685530.\nAnswer: 2, 5, 1213, 73181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 471\/5. Put -1\/2, 0.7, l, 2\/7 in decreasing order.\nAnswer: 0.7, 2\/7, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4)*h*h*h*h**9)\/(h**9\/h**(-6))*(h*h\/(h\/h**(2\/9))*h\/(h*h\/(h**(6\/11)*h)))**(-41) assuming h is positive.\nAnswer: h**(-7769\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35.90379 times -0.8\nAnswer: -28.723032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062158 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(1773135\/47925 - 37).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4))**38\/(l**(-13)\/l*l\/(l*l*((l\/(l\/(l\/l**(5\/3)*l)))\/l)\/l)) assuming l is positive.\nAnswer: l**(610\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:00 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -19. Suppose 3 = f - 0*f + n*t, t - 21 = -2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let l be (-12)\/10*(10 - (3 + s)). Let t(r) = -2*r + 3. Let v(o) = 1. What is l*v(a) + 2*t(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 61*w**2 + 100. Let r(g) = -g**2 + g - 97. Let a(y) = 4*y**2 - 2*y + 194. Let z(v) = -a(v) - 2*r(v). Give h(z(d)).\nAnswer: 244*d**4 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*y - y. Let x(s) = 7*s - 11*s**2 + s**3 + 0 - 16*s**y + 5 + 18*s**2. Determine x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 48. Let y = -1584 + 1588. Suppose -5*x = -4*n - 0*x, 0 = 2*x. Solve -a = -2*d - 2*d + 24, y*a + r = n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -405*k**4 + 11885760*k**3 + 2097725245*k**2 + 930561460*k + 103330500 = 0.\nAnswer: -175, -2\/9, 29523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19128\/7 or -2734?\nAnswer: -2734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.07652, -0.31, -3, -5?\nAnswer: -0.07652","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10 - -2) + (-888)\/(-108))*(-19 - 1450\/(-40)).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 46*q**3 - 3*q**2 + 38 + 27*q**3 + 24*q**3 - 3*q**3 + 60*q in the form w + a*q**3 + j*q**2 + t*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616662.3 - -8?\nAnswer: 616670.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -4*b + 3*z, -z = 3*b + 2*z - 237. Suppose -3*p + 425 = 5*c + 2*p, 0 = c + 4*p - b. Let l = 146 - c. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:06 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 673 + -1221. Let i = -549 - n. Are i and 1\/58 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31281 is divided by 2842?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456325572 to the nearest integer?\nAnswer: 21362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.042 + -4.342. Let z = 4 + s. Let w = 0.1 - 0. What is the third smallest value in z, 3\/4, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1082939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(23\/4)\/w*w**(-5\/2) assuming w is positive.\nAnswer: w**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 11*s**2 + 2 - 3 + 10*s**2 to the form c*s**2 + p*s + b*s**3 + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 89*q**2 - 27*q**2 - 27*q**2 - 33*q**2. Let z(a) = 6*a. Let g(t) = -7*t. Let h(l) = -4*g(l) - 5*z(l). Give h(f(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/24 + x**2\/2 + 2*x. Let a(r) be the first derivative of s(r). Let f(l) = 18*l**2. Give a(f(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 + 5*z + 9. Let x be j(-3). Let p = x - -68. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:58 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 1, -48, -153, -332, -603?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100003322 (base 4) to base 15.\nAnswer: -750925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51906 and 137150.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55735, 56556, 57377?\n\"Answer: 821*y + 54914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11768, -47081, -105936, -188333?\n\"Answer: -11771*g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 690 and 0.2?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from luuwxwvuwxt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1313 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkekpbbbbtew. What is prob of sequence tbw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 20367.66mm?\nAnswer: 2036.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/63)\/((-30)\/10125). Let q = p - 353. Let 2\/7*k**5 - q*k**4 - 2\/7*k + 0*k**3 + 0 + 4\/7*k**2 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/21 - -3\/7. Let h = -341 - -2389\/7. Sort -9, -1\/2, h, y.\nAnswer: -9, -1\/2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*s = -258 + 82 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9290954587?\nAnswer: 42491, 218657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 434\/6)*(-114)\/(-95). What is the second derivative of -1 - 83*w + f*w + 0 - 15*w**5 wrt w?\nAnswer: -300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 11*b**2 + 10*b - 17. Let c be p(-12). Suppose c*g - 5*g = -36. Let j(n) = -4*n - 37. List the prime factors of j(g).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -73\/3867, 2, 3\/2, -3 in increasing order.\nAnswer: -4, -3, -73\/3867, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 65. Solve 2*d - t = -2*d, n - 5*d + 22 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 999 and 999.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(6\/(13\/((-104)\/396)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -356.6 - -414. Let q = f - 59. Let z = q - -2.8. Which is the third smallest value? (a) -2 (b) 1 (c) 0.2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -247\/6 + 41. Suppose 0*o - 104 = 4*o. Let n = o + 30. Which is the closest to n? (a) 2\/5 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y - 137. Determine i(-25).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -5)**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -121*w**2 - 73279*w - 44768. Give v(-605).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 921100707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/25, 0.2, 34, 0.08?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 668*s + 665*s + 708760021 = 0, c = -2*s + 141752014. What is c rounded to the nearest 1000000?\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -118, -131, -160, -211, -290, -403, -556?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 14, -4\/5, -0.4, 0.5, 365, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -43568234 divided by 6\nAnswer: -21784117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 8*g - 5. Let s = 9 + -2. Let z be x(s). Let i(u) = u + 2 + z*u - u + 4. Determine i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3643 + -10930\/3. Let z = -0.07 + 5.07. What is the fourth smallest value in z, 1, 13, y?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96.2*-1.\nAnswer: -96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(1900)*-4 - (sqrt(1900) - -1*sqrt(1900)*-2)))**2.\nAnswer: 190000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**2 - 21*k + 13. Let c(g) = 3*g**2 + 10*g - 7. Let s = -228 + 223. Let n(i) = s*c(i) - 2*x(i). What is n(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r*r**(-1)*r)\/r*r*r*r*r**(-1\/6)*(r**(-3)*r)\/(r**(-6)*r) assuming r is positive.\nAnswer: r**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 434.03094 times -0.4\nAnswer: -173.612376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -6, 3\/25, -1\/2, -528?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 5 = 15*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 858 = -4*b. List the prime factors of b.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c**(-3)*c*c*c)*c*(c\/(c*c**(-11)))\/c assuming c is positive.\nAnswer: c**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*i**4 - 1206 - 43*i**4 + 1263 with respect to i.\nAnswer: -328*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -31837719749 and 26.\nAnswer: -31837719723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/4 - 8*n**3\/3 + 3*n**2 + 6*n + 151. Calculate a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.73 - -0.46. Let c = -207.73 - -208. Let a = c + j. Which is greater: 18 or a?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 7*v - 2. Let k(b) = 2*b + 8. Let i be k(-7). Give n(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 1. Let m(q) = -2*q - 13. Let j(c) = m(c) + 2*n(c). Let l be j(-5). Solve 2 = -2*v, l*v + 6 = 5*h - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14022 = -90*c + 43*c + 293*c for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 14*z + 78. Is w(12) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + 0.2. Let d = r + 0. Let t = -23481 + 23486. Put d, 3, t in descending order.\nAnswer: t, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/(b*b**(-14\/5)*b))**(-1\/46) assuming b is positive.\nAnswer: b**(-3\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 3, p: 1, k: 1, d: 1}. Give prob of picking 1 m and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/651 and 101\/42?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*y + 125*y + 30. Let p = 1\/11 - 38\/55. Put p, -0.1, -0.16, y in ascending order.\nAnswer: y, p, -0.16, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49544, 55054, 64236, 77090?\n\"Answer: 1836*x**2 + 2*x + 47706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1251, -0.115, -1.39?\nAnswer: -1251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 58*y**2 + 11*y - 46. Is l(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/23 + 33564*o\/23 - 268384\/23 = 0.\nAnswer: 8, 16774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*a = -24, -30581 + 30593 = 5*r - 2*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -172750995 divided by 645?\nAnswer: -267831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - -8)*4\/2*1. Find the second derivative of 12 - 2 - z*f + 6*f**3 - 9 wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 253015, 253016, 253017, 253018, 253019?\n\"Answer: k + 253014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*g**2*y**5 - 8288*g**2*y**3 - 4*g**2 + 8669*g*y - 5*y wrt y?\nAnswer: 1640*g**2*y**3 - 49728*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 594?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daajljfjjadf. What is prob of picking 1 a, 1 f, and 2 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4 = 0, 27*p + 16 = 4*n + 23*p for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -8 + -2 + (0 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x - 382*x = 235*x - 41*x + 19908 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 368*l**3 + 65*l**2 - 9*l + 1. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1223*h**2 + h = 0.\nAnswer: -1\/1223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Suppose -5*q + 14 + z = 0. Suppose 4*w = q*w. Solve w = -3*d - 3*h + 12, h + 12 = 5*d - 2*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2. Suppose -5*a = 3*b - 19, -a - 11 = -3*b - 2*a. Let z(i) = -i - 3. Give b*z(u) + 5*p(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656761175?\nAnswer: 3, 5, 293, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 5*n**2. Let v(a) be the third derivative of a**4\/6 + a**3\/3 - a**2. Let m be v(3). Suppose -4*u + m = -6. What is q(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3844, -7336, -10828, -14320, -17812?\nAnswer: -21304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knuknpkuk. Give prob of picking 2 k and 2 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 8, 0 = 4*x - 5*x - y. Suppose 4*a - 14456 = -2*g, 2*a - 3*g + x*g - 7228 = 0. Let o = a - 14385\/4. Find the common denominator of 99\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 3*k**2 - 49*k + 10. Calculate d(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1514202817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:49 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 44*d - 119. What is q(1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 9, 2, -1, 193, 3, -31 in descending order.\nAnswer: 193, 37, 9, 3, 2, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2695, 12075, 28125, 50851, 80259, 116355, 159145, 208635?\n\"Answer: f**3 + 3329*f**2 - 614*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -0.4, 1 in ascending order.\nAnswer: -0.4, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 14*t - 5. Let z be f(5). Solve 4*o - 16 = -z*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (50 + 2) - -20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from {h: 4, y: 2, n: 10}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.067?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 8 = 4*o - b + 17, 3*o - 2*b = 3*o + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1116 - 465?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100469.\nAnswer: 100469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2 - 3*o. Let b(g) = g**2 - g. Let r(i) = -12*b(i) + l(i). Find the second derivative of r(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28300?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3769.05 + -3771. Let m = -29 - -33. Which is the smallest value? (a) u (b) 1\/2 (c) m (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18248, 18247, 18246, 18245, 18244, 18243?\nAnswer: 18242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1213*c**2 - 7290*c + 40. Give s(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 92, 2 in decreasing order.\nAnswer: 92, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q + 12. Let p be l(0). Let k = p - 6. Solve -3*j - 3 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/12 - 7*y**3\/3 - 17*y**2 + y + 247. Determine c(14).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*h**4 + 2432*h**2 + 62*h - 172100608.\nAnswer: -164*h**3 + 4864*h + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Find the first derivative of h*l**4 - l**4 + 4*l**4 - 2 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 4. Let f be w(5). Let i = f - 30. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6181569 by 180.\nAnswer: -686841\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 95, 168, 263, 386, 543, 740?\n\"Answer: u**3 + 2*u**2 + 44*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9702 rounded to one decimal place?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 5 - 0*(-1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d**3 - 40*d**2 + 79*d - 69. Let u(c) = 8*c**3 - 20*c**2 + 40*c - 34. Suppose 46*r = 48*r + 12. Let x(y) = r*z(y) + 13*u(y). What is m in x(m) = 0?\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 199922.1 centimeters?\nAnswer: 1999221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 4*n**2 + 2*n + 5. Determine m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -139296 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 27*y - 26. What is the remainder when 109 is divided by i(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 86 - 175 + 542*w + 464*w.\nAnswer: 1006*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(2736) + 1 + 4 + sqrt(2736))**2).\nAnswer: 1440*sqrt(19) + 65790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 2. Let h = -6 - -8. Let x(y) = -6*y - 5. What is h*x(n) - 5*i(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2*w**2 + 4*w**2)*(-1 - 2*w + 1) + 5*w - 5*w - w**3 + (-2*w**2 + 5*w**2 + 4*w**2)*(-3*w + 3*w + w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 11:33 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10, 5*n - 6*d - 122197 = -7*d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/9*(110\/(-40))\/11*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334866?\nAnswer: 2, 3, 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:26 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 101\/11713?\nAnswer: 101\/11713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.2, -2\/3, -78, -5, 0 in ascending order.\nAnswer: -78, -8.2, -5, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/50)\/(1\/(-5)). Suppose -k*a = 5*w - 14, w = 4*a - 42 + 16. Solve -p = p - t - a, 5*t = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -27 - (-4 + (5 - 1)). Suppose 2*r - 2*l + 3*l = 28, -4*r - l + 54 = 0. Let z = r - h. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 450 + -128. List the prime factors of t.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/21)\/(3\/(1 + -4)). Factor q*n**2 + 4\/3 + 4\/3*n.\nAnswer: (n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.44 rounded to zero decimal places?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, 62, 1872, 4126?\nAnswer: 6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 23332898*y**2 + y + 2. Let c(p) = 10*p. What is n(c(a))?\nAnswer: 2333289800*a**2 + 10*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2. Let c(v) be the third derivative of v**8\/2016 + v**5\/30 + 7*v**4\/24 - v**2 + 11. Let d(a) be the third derivative of c(a). What is d(l(q))?\nAnswer: 360*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2531.\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 1. Let b(f) = -5*f - 11. Let d(q) = b(q) - 6*p(q). Let t be d(9). Solve 0 = -3*u - 5 - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.0283 decades to years.\nAnswer: 2960.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -27. Let n = s - -13. Solve 4*q - n = 5*y - 0*q, 3*y - 8 = 5*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0536809 - -58.9814809. Let y = 59 - g. Round y to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14475 + -72376\/5. Which is the closest to -0.4? (a) 0.1 (b) v (c) 2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*z + 20759 - 20513 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 296911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6647\/(-184) - (-64 + 26).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 l when four letters picked without replacement from {l: 5, b: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44 and 149\/(-6) + (1 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105429 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-8000)\/60))\/(-1)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/4 - 23*t**3\/4 + 63*t**2\/4 - 61*t\/4 + 5 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30749 - 30749 + 8*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from {r: 3, t: 4, m: 2, i: 2, q: 2, l: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0524167 to 3 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**3 - 2*g**3 + 6*g**3 - 5*g + 0*g to y*g**2 + o*g**3 + i*g + h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1 (b) 56226 (c) -0.1 (d) -5 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820171 to the power of 1\/2, to the nearest integer?\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4.91. Let d = -0.0900052 + n. What is d rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 252445?\nAnswer: -252432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-6))\/(72\/(-243)). Let y = k - -16. Suppose -w - w = -3*i + 1, 3*i = -3. Which is the nearest to 1\/4? (a) w (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 90*b + 187 + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**4 + 2*z**2 + 4\/3*z**3 - 4\/5*z**5 + 0*z - 1. Solve t(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 8854212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/35? (a) -1 (b) -0.4 (c) -0.5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(384) + sqrt(384) + 3*1*sqrt(384))\/(sqrt(1728)*2) - (sqrt(512) + -3 + sqrt(512) + sqrt(128)\/sqrt(196)))**2.\nAnswer: -1333*sqrt(2)\/7 + 1780417\/882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14399 - -33579. Let j = 30491 - o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -104082*t**2 - 3*t - 3. Let r(m) = m**3 + m - 7. Suppose 0 = -2*q - 0*q. Let f be r(q). Let p be u(f). Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 11. Let i(m) = 1. Let l(q) = -4*i(q) - w(q). Let r be (1\/(-1))\/((-1)\/(-5)). Determine l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/4 - 11*i**3\/6 - 5*i**2\/2 + 2958*i. Determine h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/3 - (-2)\/3. Suppose -v + c = 1. Find the second derivative of 2*j + v*j - 5*j - 2*j**4 wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4489676078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-7)\/5 + -52 + 54.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*a - 3*m, 23 = a + m + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54406457 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320604 and 28?\nAnswer: 9244228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 31*y - 27*y**3 - 15 + 10*y**3 + 5 - 8*y**2 + 16*y**3. What is the units digit of b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -333?\nAnswer: 26.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113935642 to the nearest integer?\nAnswer: 10674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-445)\/356*2\/5. Which is the closest to w? (a) 0 (b) 0.6 (c) -1\/2 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-16 - -9) - 8 - (-2 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1061 - -2211. Is s a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497414305?\nAnswer: 5, 17, 1609, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 2}. Give prob of picking 1 h and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s + 12*s - 5*s)*(4*s**2 - 3*s**2 + 2*s**2).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - 5*d**4\/6 - 11*d**3 + 42*d**2. Let x be i(23). Solve h = 2*n - x, -5*h = -n - 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f + 19. Let o be r(-5). Let w = o - -46. Calculate the least common multiple of w and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 6*k - 4. Suppose -287*w - 432 = -335*w. Let u(p) = 4*p**2 + 13*p - 9. Give w*h(x) - 4*u(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5787.6316 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) + (sqrt(209) - ((sqrt(209)*2 - sqrt(209) - sqrt(209))*6 + sqrt(209)))))\/((sqrt(88) - 3*sqrt(88)*-1)\/sqrt(8)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbwf when four letters picked without replacement from bvwffwffwzvy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9260*103386\/(-3). Let c = r + 30\/463. Let k = 2\/3029 - -281689\/12116. What is the common denominator of c and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (26 - 16) - (-1 + 0 - -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 16*l - 176 - 267. Put 5, 4, l, 7 in descending order.\nAnswer: l, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783665017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28386 and 8550?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:14 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -1.11 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/30 - c**4\/9 + 23*c**3\/9 + 20*c**2 - 80*c - 12. Factor b(l).\nAnswer: -2*(l - 5)*(l + 3)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, 2024, -2 in increasing order.\nAnswer: -4, -2, 2, 5, 2024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12))\/(-11*26\/12441).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 948087.1 days in nanoseconds?\nAnswer: 81914725440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-248)\/90 - 8\/(-36). Let h = g + 7\/3. Sort h, 5, 4\/5 in ascending order.\nAnswer: h, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(80) + 6*(sqrt(13) - (sqrt(13) + 2)).\nAnswer: -12 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -32301?\nAnswer: -1\/32301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2495 + 36)*-46*5\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 4*n - 9. Let v(t) = 12*t**2 + 5*t - 9. Let d(u) = -5*i(u) + 4*v(u). Differentiate d(b) with respect to b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 15027900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*y - 4 = -200*y. Suppose -3*m + 4 = m. Let b(w) = -w**2 + 4*w + 4. Let n(i) = i + 1. What is m*b(h) + y*n(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4083, 4782, 5481, 6180, 6879?\n\"Answer: 699*j + 3384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*l + 43*l + 224 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-2))\/2 + -14. Suppose 0 = -0*h - 2*h + 34. Let s = l + h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -4\/76764875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4418*r**3 + 9*r**2 + 27*r + 13. Let d be k(-2). Round d to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 1504 + 1466. Solve -q + g = 3*q - 8, -5*g - 22 = -h*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 - 8*h. Let d(p) = 2*p**2 - 3*p. Let s = -13 - 3. Let b be 124\/s + (14\/8 - 2). Let u be (-2 + 4)\/((-2)\/b). Give u*d(c) - 3*y(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(8) + 0 + sqrt(228)\/sqrt(12) + 4 - -5*sqrt(133)\/((-3*sqrt(7) - sqrt(7))*2 + sqrt(7)))**2.\nAnswer: 72*sqrt(19)\/7 + 2323\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - (-3 - 636\/28). Let x(q) = -6*q + 23. Let g be x(6). Let w = g + o. Calculate the remainder when 62 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 116. Let d be v(22). Let y be (-4)\/12 - (-74)\/d. Solve 0 = 3*g - 0 - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 48*v - 271. Calculate g(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + y**2 - 5*y**3 + 4*y - 8 + y**2. Let k(w) = 7*w + 1. Let l be k(-1). Let o(h) = -9*h**3 + 11*h**2 + 7*h - 15. Calculate l*o(z) + 11*b(z).\nAnswer: -z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316785 - -133311. Let k = w - -183553.9812. Let u = k - 80. What is u rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 0.6. Let w = 1 - n. Let c = 20.2 - 20. What is the third biggest value in c, 5\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1132261.1 times -0.3\nAnswer: -339678.33","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 252977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxqomoqqbsbqmq. What is prob of sequence obx?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*o. Let z = 0 + o. Let u(r) = -r - 1. Let v be u(-3). Solve z*l + 0*l + v = k, -4*l = -k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 14*g**2 + 7*g**2 in the form o*g**2 + s*g + q and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (-3 + 5*(-5 + -1 + sqrt(200) - sqrt(200)))*-5)**2.\nAnswer: 56448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 - 48 - 115) + 212?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - -101. What is the highest common divisor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8 and -0.178.\nAnswer: 1.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 2*l**2 + 3*l - 1. Let m be a(3). Let s = -25 + 25.4. What is the nearest to -1\/3 in m, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-five thirds of a decade in months?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (1 - 2 - 2). Factor 2*q**2 - q**3 - 4*q**2 - q + 0*q**2 + b*q.\nAnswer: -q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -10*q + 765. Suppose -q = -4*o + 21. Let b(y) = 5*y + 3. Let c be b(3). Calculate the highest common divisor of o and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217572820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -64, -246, -540, -958, -1512?\n\"Answer: -2*c**3 - 44*c**2 - 36*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 8}. What is prob of sequence hk?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/13)*j)**(18\/11) assuming j is positive.\nAnswer: j**(180\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1 - -2))\/2. Let w(h) = -13 - h + 8*h**3 + 0*h - 10*h**3 + h**3. Calculate w(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/3 + 36\/6. Let t be 3\/(-2)*j\/(-3). Suppose 0 = -t*g - 10, 6*r = r - 4*g + 442. What is r rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 432431905 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 8)*8\/(-6). Solve m*l + 4*a - 7*a + 11 = 0, 3*a - 16 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2014 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04592576104 rounded to four decimal places?\nAnswer: 0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:12 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 37. Let c(w) = w**2 + 3*w - 2. What is the remainder when c(-4) is divided by (-1 + 4 - a) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5\/2 - 18*x**4 - 378*x**3 - 1296*x**2.\nAnswer: 3*x**2*(x - 24)*(x + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/6 + 35*z**3\/6 + 19*z**2. Let p be r(7). Suppose 3*q + 4 - 11 = c, -4*q - 4*c + 4 = 0. Solve -p*k = -q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42.94? (a) -22 (b) 2\/15 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 37. Suppose -w*p + 8*p + 144 = 0. Calculate the remainder when 69 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1686659 and 6604?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83501*0.4.\nAnswer: 33400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)*(1 - 0). Let p = -2 - i. Let x = -77 - -81. Sort x, -4, p in decreasing order.\nAnswer: x, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q - 122. Let t be g(11). Calculate the highest common factor of 128 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3*(4 - 1). Suppose -3*u = -23 - z. Find the second derivative of 0*i**2 - 9*i + 4*i**2 - u*i**4 - 4*i**2 wrt i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o - 10. Suppose -i + q = 2, 3*i - 5*i = 4*q - 2. Let m be f(i). Sort m, 2, -3 in increasing order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + z + 1. Let l(o) = 5*o**2 + o + 2. Let d(k) = 3*l(k) - 7*v(k). Suppose w + w - 10 = 0. Calculate d(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -178. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhii when four letters picked without replacement from ititiiihihitiihiiii?\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/36 - 4\/(-6). Factor h*m + 0*m**2 - 4\/3*m**5 + 0 - 1\/3*m**3 + 5\/3*m**4.\nAnswer: -m**3*(m - 1)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 10*k + 15. Let s(t) = -166*t**2 + 8*t + 2. Let i(j) = -j**2 - 1. Let u(b) = -3*i(b) + s(b). Let d be u(k). What is d rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) -38978\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.3 and 16.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1028*l**2 - 32292*l + 257094. Let y(j) = 342*j**2 - 10764*j + 85698. Let w(d) = -4*f(d) + 14*y(d). Factor w(b).\nAnswer: 4*(13*b - 207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22624*g**5*k + 930*g**2*k + 4*g*k wrt g.\nAnswer: -1357440*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4518*c*h**3 - 2*c*h + c*w - 10892*h**3*w + 4*h**3 wrt w?\nAnswer: c - 10892*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-48))\/((-69)\/744) - -8?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -5c?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*v - 702, -17 = f - 3*v - 205. Suppose 5*u = 2*b - f, b - 105 = 2*u - 20. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*f**5 - 37*f**2 + 229*f**5 + 0*f**2 wrt f.\nAnswer: 9660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 h, and 1 r when four letters picked without replacement from {r: 1, g: 1, b: 4, c: 1, h: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b + 14. Let t(o) = -7*o - 5. Let a(m) = 5*q(m) + 14*t(m). Let i(h) = -2*h. What is a(i(z))?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2567\/3 - -10343\/12. Factor 5*t + 5\/4*t**2 - z.\nAnswer: 5*(t - 1)*(t + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2357369860\/11021 - -213898. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -14. Let q = -1.3 + 2.6. Let n = 0.3 - q. What is the third biggest value in w, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -3*j. Let p = 9 - j. Solve 3*v - p = -1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2*a - 2*a)*(-3 + 1 + 1) + (-a + 22*a - a)*(0 + 0 - 2)*(-1 + 0 + 2) as x + z*a and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 50*l + 4. What is the tens digit of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2792*t + 78. List the prime factors of x(-1).\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 5939760?\nAnswer: 5939760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10*v**3 - v - 3. Let z be s(-3). Suppose -z*h = -277*h + 2618. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14043.\nAnswer: 3, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-118)\/(-59))\/((-2)\/(-1849))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Solve 5*h + 6 = f*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -154 + 2?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3563*n**4*t + 25*n**3*t**3 - 129*n*t**3 - 81*t**3 wrt n?\nAnswer: 42756*n**2*t + 150*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 8*s**2 + 3*s + 1. Is f(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327858 take away 2?\nAnswer: 1327856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (-7)\/(-28) + -2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*i + 5*f + 11, i - 2*f = -11 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -136800 to the nearest 1000.\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*z + 114*z + 5 - 54*z - z**2 + (-4 + 4 - 2*z)*(2*z - 6*z + 5*z).\nAnswer: -3*z**2 - 9*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -12, -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.073? (a) 0.2 (b) 3\/4 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.635 - -29.635. Let t = m + -29.00000246. What is t rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-12)\/150 - (-46)\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o - 46501 = 56*o - 3*v, 2*o = -4*v + 18606. What are the prime factors of o?\nAnswer: 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than 1541?\nAnswer: 1540.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 67*a**2 + 20*a + 71. Calculate p(-22).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 29*h**4 - 6*h**2 - 11. Let v(o) = 15*o**4 - 3*o**2 - 6. Let q(p) = -6*a(p) + 11*v(p). What is the third derivative of q(t) wrt t?\nAnswer: -216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r**3 - 14*r**2 + 1. Let k(w) = -2*w**2 + w. Give -f(l) + 4*k(l).\nAnswer: -12*l**3 + 6*l**2 + 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43795007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/5950*17*1*12.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2\/(-2))*(1280\/(-528))\/40?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/1*63\/(-126).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 22*m - 1629. Let l be t(78). Solve -5*x = 62 - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 168*o - 133. Let d be i(1). Solve 40*t - d*t - 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 46*r - 61341 = 0. Suppose 4*v = -k - r, -5*v + 2*v = 4*k + 6582. What is v rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/1680 + t**4\/8 - t**3 + 3*t**2. Let d(n) be the first derivative of b(n). Differentiate d(f) wrt f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + w + 7, -2*b - 3 = -b + w. What is the greatest common divisor of 7 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/24 + 17\/12. Which is the nearest to q? (a) 2 (b) 3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80.14 + 74.2. Let a = f + 6. Let u = 0.04 + a. Is 0.08 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 19 - -2 - -25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**2 + 4*q + 13. What are the prime factors of f(-4)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 15 + 0*w - 1\/4*w**4 - 2*w**3 + 0*w**2. Determine n so that y(n) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79.116 + -0.116. Let p = -87.1 + b. Let m = -9 - p. Round m to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 2*h**2 + 3*h + 3. Suppose 244*m - 62*m = 546. Calculate o(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69939?\nAnswer: 3, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 4, y: 6, v: 1, c: 4}. What is prob of picking 2 c and 1 v?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 40*h - 530. Calculate the remainder when d(16) is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 + 8*r**2 - 29*r - 31. Does 4 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -21, -5, 15, 39, 67?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkhkkkkkkk. Give prob of picking 1 k and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 88 + -7839?\nAnswer: -7761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*r + 1494 - 434, -2*r - 2 = 0. What are the prime factors of u?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 6*r - 6 = 3*r, -2*r = -6*b - 22 + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/14? (a) 0.1 (b) -2 (c) -2\/23 (d) 2\/25 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d = 26*d + 71*d + 325. Put -4, -289, -1, d in descending order.\nAnswer: -1, -4, d, -289","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 3372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = 1, -g = -2*f + 3. Suppose 5*n = 3*w + 688, f*n + 3*w + w = 407. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k - 63. Calculate the remainder when 164 is divided by u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z - 2*z + z. Let w(c) = -3*c**2 - 5*c - 5. Let p(h) = 2*h**2 + 4*h + 4. Let s(x) = -5*p(x) - 4*w(x). Calculate i(s(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*1605\/(4 + 1). Suppose f - 2*p - 69 = 0, 5*f = -7*p + 5*p + g. Differentiate -f*b**2 + 2*b - 4 - 2*b + 51*b**2 with respect to b.\nAnswer: -28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 134, 0 in increasing order.\nAnswer: -1, 0, 3, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(833) - sqrt(833))**2 + -2 + 4.\nAnswer: 7499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 621547*k. Let y(c) = -10*c + 2. Give z(y(l)).\nAnswer: -6215470*l + 1243094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125435 or -125437?\nAnswer: -125435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 155\/45 + -3 - (-172)\/18. Let x(q) = -2 + q - 10*q + 3 + m*q - 7. Let f = -1 - -1. What is x(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12384, 46821, 104216, 184569, 287880?\nAnswer: 414149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -6 - (-1 - 6) - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 - 14\/(-8). Suppose -45 = s*p - 3*p. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2299) + (sqrt(2299)*6 - sqrt(2299)))*4 + 4*(-4 + sqrt(2299) - sqrt(2299)) + -5)**2.\nAnswer: 11088*sqrt(19) + 1324665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*k - 2531 - 1063 = -178 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 0. Let d be 46\/6 + s\/(-9). Solve t + 2*t + p - 8 = 0, -2*p - d = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289413 is divided by 1144?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4616*k - 1790*k - 13640*k + 775*k.\nAnswer: -19271*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18222197.\nAnswer: 7, 19, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 119784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251694 is divided by 859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -26, -1\/6, -5, 2\/21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4 and 79\/244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 - 28496512*i**3\/7 - 135341856528852*i**2\/7 - 30609281629030175536*i + 214265106745096254118\/7.\nAnswer: -2*(i - 1)*(i + 4749419)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o + 0*o)*(-3*o**3 - 2*o**3 + 6*o**3) + (4*o**3 - 9*o**3 + 16*o**3)*(18 - 18 + 9*o) + 4*o**4 - 1 + 1.\nAnswer: 105*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 6, n: 2, u: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 + -3.56. Let u = l - -24.4. Let y = -16 + u. Which is the second biggest value? (a) y (b) 1\/4 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apapwccpecu. What is prob of sequence cp?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 284*p**3 + 596*p**2 - 876*p.\nAnswer: -4*p*(p - 73)*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:29 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*1\/((-2)\/2). Suppose 3*i = -2*y, r = -4*i - 1 - 7. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288245000 rounded to the nearest one million?\nAnswer: -288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1458 - -1453\nAnswer: 1453.1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, -7, -1 in ascending order.\nAnswer: -7, -5, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -34 + 15 + -5*(77\/(-24) + 3)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28\/39 - -8\/13. Let n = -0.51 - -0.01. Which is the nearest to -0.1? (a) n (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -27*k + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 23 = u. Calculate the remainder when 25 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 13. Let g be s(9). Let v(m) = 1 - 4 + g*m + 33*m - 2. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*q - 13 + 13)*(-42*q**2 + 4*q**2 - 2*q**2) to l*q + c + m*q**3 + j*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10*p - 5 + 15)*(11 - 6 + 9).\nAnswer: 140*p - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66737880 to the nearest integer?\nAnswer: 8169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 473 - 524 - (1\/2)\/(11\/(-10) - -1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f = -15*f - 6800. Suppose -33*b - f = -34*b. Find the third derivative of -z**3 - b*z**2 + 9*z**5 - 2*z**5 + 654*z**2 wrt z.\nAnswer: 420*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*i - 1974 + 1929 = 0, -i = -61*j - 310 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1097 or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/112*7\/(-2))\/((-990)\/22)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3.2. Let f = 10.619 - -0.381. Let c = 6 - f. Sort 1, 1\/9, o, c.\nAnswer: c, o, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*p + 8*p + 20, p + 25 = -5*y. Let o be (y - -4 - 3) + 13. Suppose -4*l - n + 33 + o = 0, l - 4*n - 19 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 31 + 44*b)*(-4 + 1 + 0).\nAnswer: -132*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 8*b + 22. Let o be f(10). Let z(j) be the second derivative of -10\/9*j**3 + 0 + 25\/3*j**o - 13*j + 1\/18*j**4. Find h such that z(h) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 5*d)*(1159*d**2 - 7236*d**2 - 4184*d**2).\nAnswer: -10261*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21031 + 0?\nAnswer: 21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9222.704 millennia in years?\nAnswer: 9222704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + i**4 + 0*i**3)*(i + 0*i + 3*i + (1 - 2 + 2)*(i + 2*i - 5*i) + 7*i + 29 - 29).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176 - -179. Solve 0 = 8*g - b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4463 - 4462.6. Is -251 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 51. Let q be (15\/(-15))\/(1\/d). Suppose -q*c + 139 = -461. Calculate the greatest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 10. Let v be r(-8). Suppose 4*m + 4*t = 18 - v, -m - 2*t = 0. Are m and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3*j)\/(j*j**(-13)))\/(j**(-1\/2)*j**3))**(-25\/6) assuming j is positive.\nAnswer: j**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*1\/4)\/(5\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234*t**4\/7 - 2108*t**3\/7 + 4698*t**2\/7 - 2848*t\/7 + 24\/7 = 0. What is t?\nAnswer: 1\/117, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15221, 60879, 136973, 243509, 380493?\n\"Answer: w**3 + 15212*w**2 + 15*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i - 18. Let w(l) = -3*l + 9. Let c(v) = -2*j(v) - 5*w(v). Let u be 5 + (-2 - -4) + 0. Is c(u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514, 526, 538, 550?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*q - 25 = -6, 2*g - 13 = 3*q. What is the lowest common multiple of (32\/(-40))\/1*(-75)\/g and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 2*y**2 + 82*y - 1. Let j(v) = -11*v**3 + 7*v**2 - 248*v + 3. What is 2*j(a) + 7*t(a)?\nAnswer: -a**3 + 78*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (1 - -2) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 1, b: 1, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 1680?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzki when four letters picked without replacement from {i: 3, z: 2, q: 1, k: 3, s: 4, v: 2}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -5, -2, 17, 0 in increasing order.\nAnswer: -5, -3, -2, 0, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/13))\/g)\/g*g\/((g*g**(-6)*g)\/g)*g\/(g\/(g\/(g*g**(-1\/12))))*g\/g**(-1\/13)*g*g assuming g is positive.\nAnswer: g**(1249\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 10*q + 6. Let i be q - (-11)\/(33\/18). Let s be -1*1\/(i\/(-20)). Solve p = -3 + s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 1. Let r = y - -1.7. Let p = 0.1 + r. Which is the closest to 2? (a) -2 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s + 4. Let p be 685\/(3 - 2) - s. Let l = -1276 + p. Round l to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(275) + -1)*5 + (sqrt(275) - (sqrt(275) + sqrt(275) + 2)**2)*4 + -1.\nAnswer: -4418 - 115*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274275 = 33*h + 12*h. What are the prime factors of h?\nAnswer: 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 385144*c**3*o + 247*c**2*o + 10*o - 71388774 wrt c?\nAnswer: 1155432*c**2*o + 494*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = -68. Solve 2*t = 5*u + z, -4*t - t = 5*u + 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - g + 5 = 0, -4*g = 3*w + 497 - 516. Let n(j) be the first derivative of 7\/2*j**4 + 0*j**3 + 0*j**2 + 8*j - w. Differentiate n(v) wrt v.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 91440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -109, -266, -457, -664, -869, -1054, -1201, -1292?\n\"Answer: 3*j**3 - 35*j**2 - 73*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:49 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90467.57l?\nAnswer: 90467570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-1620)*-54 + (-23)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2327 - 2.1.\nAnswer: -2329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 6. Let k be r(-5). Let s be (2 - (-2)\/k) + -2. Let o = 8 + s. Calculate the remainder when 28 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267221 (base 8) in base 4?\nAnswer: 112322101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 618*q**2. Let w(x) be the first derivative of -x**2 - 741. Calculate h(w(f)).\nAnswer: 2472*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(36)\/sqrt(96)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a factor of 279822190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:34 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 0 - (2 + -1). Let o = 2 - g. Let n = -3\/5 + 11\/10. Does n = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - 56. Let y = n + 117. Which is the second biggest value? (a) 0.5 (b) -1\/2 (c) 0 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20 = -z, z = -0*z + 5*q - 10. Sort 4, -6, -0.3, z in ascending order.\nAnswer: -6, -0.3, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -242831, -485716, -728601, -971486, -1214371?\n\"Answer: -242885*k + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7613341?\nAnswer: 29, 83, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 13. Suppose 0*a - u = -5*a. Factor -4 + a*b + 3*b - b - b**2 - b.\nAnswer: -(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 14*x + 15. Let k be c(-13). Let u(m) be the second derivative of 0*m**3 + 0 - m**k - 1\/4*m**4 + 2*m. Find the first derivative of u(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*c**2 + 0*c**4 + 2*c + 4*c**4 - 1 + 5 to s*c**4 + k*c + b*c**3 + a + m*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/5)\/w)\/w*w)**(3\/7))**(-28\/3) assuming w is positive.\nAnswer: w**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = 0, 2*t + 17*a - 122 = 13*a. What is the greatest common divisor of 140 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15886150.\nAnswer: 2, 5, 7, 45389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 9, -135*s = -5*c - 133*s - 224. What is the second smallest value in 1.5, 4, c?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 1. Suppose n + 3 = -3*z - 2, 0 = 4*z + 5*n + 3. Put z, y, -5 in ascending order.\nAnswer: y, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.24\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.60423 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1633881, 6535521, 14704923, 26142087, 40847013?\n\"Answer: 1633881*r**2 - 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1307 and 8577841.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Let o = -5 - w. Let i(d) = -d**2 + d. Let k(n) = -5*n**2 - 4*n - 3. Let u(y) = -4*i(y) + k(y). Give u(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/4 - 864*x. Let r(n) = -167*n. Determine r(z(t)).\nAnswer: -501*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 0.018. Let x = t - -2.962. Sort 0.2, x, 1\/11 in decreasing order.\nAnswer: x, 0.2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa2aa7 (base 13) in base 9?\nAnswer: -7473444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*v**3 + 5 + 1020*v**3 - 5 - 3060*v**3 + 1018*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a66d6 + -28?\nAnswer: -a66fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggpgppgggggpgggggp. What is prob of sequence ggg?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {q: 5, h: 7, m: 3, v: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146*l*s - 434770*l - s - 62852055 wrt l.\nAnswer: -146*s - 434770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13980 - 13910 + 41802 - 13912 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 258 (b) 0.2 (c) 1 (d) -1 (e) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -2. Suppose -c - 4*c = 40. Let s = c + k. Solve 2*m - 3*y - s = 5, 0 = 4*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -9. Suppose 5*u - 20 = 5*q, -4*u + 0*q - q = -21. Suppose 3*a + 2*a = -u. Is n >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 21. Let w(x) = -2*x**3 - 5*x**2 + x + 1. Let b be w(-3). Let i be o(b). Solve i*p + 4*p - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102001334 - -24?\nAnswer: -102001310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*-307\nAnswer: 8.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**44*(g\/(g\/g**(-7)))\/g*(g**(9\/7))**(-48))**47 assuming g is positive.\nAnswer: g**(-8131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48377.66 meters?\nAnswer: 48377660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -96*q. Let a(x) = 5*x. Let v(y) = 11*y**2 + 402*y - 68. Let c be v(-37). Give c*a(n) + 6*i(n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 120*w**2 - 22*w - 46. List the prime factors of f(-6).\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*1*sqrt(171) + (sqrt(171) - 2*sqrt(171) - sqrt(171))*6)\/((4*sqrt(90)*-5)\/sqrt(10)).\nAnswer: -5 + 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 1483970706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1540727, -3081471, -4622215, -6162959?\n\"Answer: -1540744*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 80 = 3*b. Suppose 4*k + 5 = 3*k, -h + 3*k + b = 0. Is (0 - h - 46)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 7 + 10 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 6. Suppose w = 49 - l. Let t be (-242)\/(-14) + w\/(-21). Solve -2*m - 3*s = -5 - 9, 4*s - t = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 105675196.\nAnswer: 1056751960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-2008)\/14) + (-15)\/35. Let d = x - 142. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 9. List the prime factors of y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 24*f**2 + 106*f - 2563. What is x(24)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5))\/(a\/a**(-4))*a\/((a**(-2\/3)\/a)\/a)*a*a*a**(5\/3) assuming a is positive.\nAnswer: a**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + 0 + -6. Let y be 2*3 - h\/(-2). What is the first derivative of -3*b**4 - 3 + 3*b**4 + 2*b**4 + y wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 144*v - 141*v + 6, -2*b + 2*v + 36 = 0. What is the highest common factor of b and 12132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2266702201 - 12013521732887\/5300. Let v = q + 3\/1325. What is the common denominator of 73\/2 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 2. Calculate i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17537?\nAnswer: 13, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 2\/11, 342?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.31, -4, 0.2 in decreasing order.\nAnswer: 0.2, 2\/13, -0.31, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -386 - -268 - (-89 - -11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9590405509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-9))\/(2\/3). Suppose -8*w = -x*w - 12. Let b(i) = -4 - 2*i - 1 + 2*i**w + 4 - i**3 - 2*i**2. Give b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let t(u) = -1260981*u + 21. Determine t(y(a)).\nAnswer: -1260981*a + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 57327280?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -48a408?\nAnswer: 48a417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/((-4)\/16). Let t(r) = 37*r**2 - r. Is 14 a factor of t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2.3173, -6229?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 345.8701 years?\nAnswer: 34.58701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/390*-129 - (-6)\/1.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1164\/(((-120)\/(-270))\/((-16)\/(-6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16846*m**2*n*x + 139*m**2*x**2 - 3*m**2 - 2*n**2*x**2 + 2*x**2 with respect to n.\nAnswer: 16846*m**2*x - 4*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3206 and (-246)\/(-533) - (-931)\/(-130).\nAnswer: 16030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 11:18 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ab (base 14) to base 13.\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*o - g - 12, g = 2*o + 12. Let t(u) = u**2 + 2*u - 11. Determine t(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 44350, 44354, 44360, 44368, 44378?\n\"Answer: h**2 + h + 44348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -25 - (21 + -25 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164904757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -357 + 454. Let y = -71 + -22. Let a = y + p. Put -5\/4, a, -1.1 in descending order.\nAnswer: a, -1.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(-2 + sqrt(19)) - sqrt(57)\/sqrt(75) - sqrt(133)\/((sqrt(21) + sqrt(42)\/sqrt(2))\/sqrt(3)))*1.\nAnswer: -6 + 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -23*x**4\/6 + 49*x**3\/6 + 27*x. What is the second derivative of w(z) wrt z?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245274 is divided by 15329.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4228 + 12685\/3. Let s(d) be the second derivative of 0*d**2 + 0 + 2\/3*d**3 + 3*d - a*d**4. Factor s(y).\nAnswer: -4*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 354, 22, 6, -2 in descending order.\nAnswer: 354, 22, 6, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 74 + 48 = 2*b + 42, -5*b + 464 = -22*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.441313km?\nAnswer: 1441313000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let a = -1.02 - y. Let w = a - 1.98. Put 0.4, 3, w in ascending order.\nAnswer: w, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -135, -201, -267, -333, -399?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + -17. Let q = -20 - n. Let l = q + -7.48. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*u - 630*u + 963*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390120 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11602 to the nearest one hundred.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 1.421. Let r = 0.021085 + h. What is r rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*b = -9, -4*b + 2 + 10 = 0. Let a(w) = w**2 - 6*w + 3. What is a(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*-1*(44\/(-8))\/11. Let g(v) = -v**2 + 6*v - 7. Let b be g(3). Let y be ((-5)\/b)\/(1\/(-8) + 0). Solve -3*o - 12 = r, -5*h + o - 1 - y = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -19, 0.06, -3, -5, 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 + 6523976*d + 15960848568216.\nAnswer: 2*(d + 4892982)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 948*j**2 + 1821*j - 1821*j - 3660*j**2 in the form n + p*j**2 + v*j and give p.\nAnswer: -2712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n + 19. Let x(p) = 2*p - 4. Let k be x(2). Let g be s(k). Suppose 3*w - 7 - 5 = m, -5*w = -2*m - g. Solve -m*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 4*(sqrt(11)*-2 - sqrt(11)) - (sqrt(11) + -1 + sqrt(11) + 5).\nAnswer: -13*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -4. Let g(y) = -4*y**2 - 4*y + 4*y + n*y**2. Let m(v) = -2*v**2. Let k(p) = 25*p**2. Let h(a) = -3*k(a) - 40*m(a). What is g(h(w))?\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 33 = 93. Solve -2*p = -p + 5*v + z, 3*v = -4*p + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*r - 27*r - 13. Suppose -v = -a - 4 + 22, -3*a + v + 52 = 0. Let b = a + r. Solve -4*j = n + 6, 4*j + 0*j - 4*n - b = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/20 - (-408)\/96. Put 134, j, -4, -3 in increasing order.\nAnswer: -4, -3, j, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*t**2 + 9*t + 152*t**2 - 51*t**2 - 4*t - 47*t**2 - 12*t**3 in the form a*t + j*t**3 + m*t**2 + p and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:33 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*x + 440776, -8*l + 9*l - 6 = 0. Round x to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601646 is divided by 26694.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 644 - 637. Let x be (-3)\/(6\/(-98))*1. What is the highest common divisor of a and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-36)*24\/(-8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -93*0.2\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 835, 6291, 20989, 49513, 96447?\n\"Answer: 764*b**3 + 37*b**2 - 3*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6816\/14501?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-five thirds of a century in months?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19622, 19651, 19678, 19703, 19726, 19747?\nAnswer: 19766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * -138616\nAnswer: -207924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143 (base 8) to base 11.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86874, 174291, 261710, 349131, 436554?\nAnswer: 523979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:36 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 62439*h + 6 + 62294*h + 0.\nAnswer: -145*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24595, -14010, -3425?\n\"Answer: 10585*t - 35180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let n = 8 - v. Calculate the remainder when 6 is divided by (-18)\/(-4) + (-3)\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/20 + l**4\/6 - 2*l**3\/3 + 3*l**2\/2 + 2*l - 118. Determine o(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 106. Sort -4, u, -9, 1 in descending order.\nAnswer: 1, u, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - 2*x + x + 0*x**4 - 2*x**4 + 2*x in the form q*x**2 + c + v*x + u*x**4 + l*x**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4678560 divided by -20520.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213888 is divided by 1004?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -81, -169, -281, -411, -553?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*r**6 - 7*m**2*r**5 + 2*m**2*r**2 + 21*m*r**2 + r**2 wrt r?\nAnswer: -120*m**2*r**3 - 420*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 9*d**2 + 6*d + 4. Let k be b(8). Let w = k - -33. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 8*y - 1. Let o be (24 - 0)\/((-21)\/(-14)). Suppose 2*m = -2*l - o, -2*m = -3*l - 6 + 22. Is u(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243 + -3 - (2 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**4 - 1946495*p**2 + 18753854 wrt p?\nAnswer: 12*p**3 - 3892990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 30. Suppose 4*v - a - 8 = 0, -5 = -3*v + 2*a - 4. Suppose -v*m + 0*z + d = 3*z, 3*z - 112 = -5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259276140 divided by -2.\nAnswer: -129638070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271 divided by 3.\nAnswer: 271\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955 - 251 = -134*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 240 = -68. What is the lowest common multiple of l and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**3 + 5384*p**2 + 1833060*p + 14321952 = 0.\nAnswer: -669, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4087, -6034, -7985, -9934, -11875, -13802?\n\"Answer: c**3 - 8*c**2 - 1930*c - 2150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 13817960?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98844.66 years?\nAnswer: 1186135.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2662616604.\nAnswer: 2, 3, 19, 167, 69929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 784284.\nAnswer: -5\/392142","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46 + 115 - 30*b**3 - 22 - 182 wrt b?\nAnswer: -90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -50189, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13404035807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10649\/2034 + -58\/113. Let r = -42747\/16 + 2668. Find the common denominator of s and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310 = 22*j + 1464 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2372730 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.081, 1\/7, -11 in descending order.\nAnswer: 2, 1\/7, -0.081, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/15)\/((-2)\/(-30)*6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -404423*q**2 - 228912.\nAnswer: -808846*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -113\/5, -1819, 1\/17?\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 206 and 32146.\nAnswer: 3311038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 90*j**2 + 32*j - 43. Is t(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53557, -107177, -160799, -214423?\n\"Answer: -w**2 - 53617*w + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69.63 + -74.63. Sort z, 0.02, -8.1 in descending order.\nAnswer: 0.02, z, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdt when three letters picked without replacement from {t: 1, w: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.12, -3, 5 in decreasing order.\nAnswer: 5, 4, -0.12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h + 232. Let t be g(11). Calculate the highest common divisor of 68 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 24\/(-9) - 14\/(-24). Which is greater: -0.9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76472 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - 6 - (27 - 32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 19*g**4\/24 - 785*g**2. Let v(w) = 66*w. Determine 18*a(c) - 5*v(c).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = 2*f - 2*q, 3*q = 5*f - 7. Let n be (f\/2)\/(-4*(-7)\/(-840)). Calculate the greatest common factor of n and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:24 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + 515?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*x - 3099*x - 13602 + 55072 + 53865 = 0 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 6:32 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 70*m - 41. Let x(f) = -339*f + 209. Let h(q) = 19*w(q) + 4*x(q). Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(6)*2*-2 + sqrt(6)) + -5*(sqrt(13) + -2 + sqrt(13))*1)**2.\nAnswer: -620*sqrt(13)\/3 + 13393\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(63\/9)*8\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12985793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:43 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let r be 273\/(-1170) - ((-2)\/2)\/(-10). Sort -3, r, s in descending order.\nAnswer: s, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.767 minus 5?\nAnswer: 58.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-1449)*-21 + 34\/(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 6:30 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.77 - -5.87. Let y be (-27)\/(-18) - (-1 - (-11)\/6). Which is the third biggest value? (a) -3 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2149 by 3.\nAnswer: 2149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 74286162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let j be (-1 - u\/(-4))*-2. Suppose -2*k - 2*k + 50 = -5*o, 3*k + 3*o = 51. Solve -j*h - k = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwc when three letters picked without replacement from {l: 1, c: 2, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -64\/25, -6\/49, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 15*o**2 + 2*o - 6. Let d = -149 - -314. What is the remainder when d is divided by c(15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8467 is divided by 324?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-453)\/(-18) + 1\/(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6426730 (b) -3\/8 (c) 1\/4 (d) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -22 + 15 + -2 + 64 - 9\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 0.1841?\nAnswer: -0.0841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.0072 - -6.1. Let q = i + -0.0926468. What is q rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - 105\/(-18))*-1695*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 214 - 214 + 12*j to the form m*j + a and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*a - 17, 0 = d - a - 2 + 5. Let i(q) = -1. Let v(h) = -27*h - 10. Let x(l) = -5*i(l) + v(l). Is x(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 268.9422 - -0.0578. Let y = q - 252. What is the nearest to -1 in -2, y, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*w + 9, w + 0*w + 9 = 3*j. Suppose q - 63 = -w*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 19. Let d = w + 29. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 - 0.3?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 1, h: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -4639237.1?\nAnswer: 1391771.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, j: 1}. What is prob of picking 3 s?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -4 (c) 82663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-360)\/(-270))\/((-8)\/(-6)). Solve x + k - 6 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -858*r - 82*r - 9238 + 1908*r + 7362*r wrt r?\nAnswer: 8330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21611 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, l: 4}. What is prob of sequence llzl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -743\/2, 33, -2, -0.5, -4 in increasing order.\nAnswer: -743\/2, -4, -2, -0.5, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b + 5*b + 72*b**2 - 75*b**2. Let d(v) = -v**2. Give d(m(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6171855691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 359468632 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o - 13. Calculate u(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194, 379, 558, 731, 898, 1059?\n\"Answer: -3*u**2 + 194*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 531662 (base 10) to base 16\nAnswer: 81cce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 1634*k**4 + 118174*k**3 + 364336*k**2 + 367609*k + 123082.\nAnswer: (k - 1558)*(k - 79)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 14 = 3*m. Let l(z) = m - 1 + 2 - 4. Let p(j) = -2*j + 2. Determine -3*l(r) - p(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2340 and 52.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012123 + 4?\nAnswer: -1012114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -21. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3160 = 5*d - 852, -5*d = -25. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -12, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y - 2. Find the first derivative of y + 0*g**2 - 3*g**2 + 3*g**2 - 2*g**2 wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -75849720?\nAnswer: 45509832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sddddssdsdsdsssdssd?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9963 and 15390.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3655\/29, 502?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906*x - 904*x = 4*h - 28, h + 7*h = 5*x + 62 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10975379 rounded to four decimal places?\nAnswer: -0.1098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let c(y) = 4*y**2 - y + 155. Give t(c(o)).\nAnswer: 4*o**2 - o + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6958361 rounded to the nearest ten thousand?\nAnswer: -6960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1462\/65, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*s - 1361 - 11899. Is -390 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351769412*b**2 - b**3 - 1351769412*b**2 - 1 - b**3.\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 95. Sort 2, t, -2.4.\nAnswer: -2.4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1b?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -328 - -328.32. What is the closest to 0 in a, 3\/4, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 6. Let l be n(5). Let z = -7 + 3. Sort l, -3, z.\nAnswer: z, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5.7. Suppose 2*i = -2*i - 44. Let g = -8 - i. Which is the closest to 0? (a) o (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.458308 months in years?\nAnswer: 1.454859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 5*m - 20. Suppose 57 = 3*w + 7*q - m*q, 35 = 2*w - q. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -2\/3, 0.14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3495\/6950 - ((-36)\/(-8) + (-154)\/22).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + 5)*4\/(-8). Let t(p) = -p**2 + 4*p - 4. Let g be t(y). Let z(x) = 3*x**3 + 2*x**2 - 1. Calculate z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192 + -187)*(489\/165 + -3)*6.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 18, -1 = 3*h - 2*t - 25. Let x(j) = -j**3 + 2*j**2 + 10*j - 8. Give x(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 1.65. Let x = 0.05 - k. Let w = -0.3 - -4.3. Sort w, x, -0.4 in ascending order.\nAnswer: -0.4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24555 is divided by 1886?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7454447, -14908895, -22363341, -29817785?\nAnswer: -37272227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 114442.7ml?\nAnswer: 114.4427","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:02 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*(-12)\/(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 77*s**2 - 218*s + 18. What is p(-74)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 + 3*w**2 + 7*w**2 - 11*w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (55\/22)\/(2\/(-4)). Let g = -0.3 - -1.3. Let z = -3 + g. What is the third smallest value in f, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -11033?\nAnswer: -11043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3784 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -4, 2, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*g + 6. Let t be (g\/(-4)*158)\/1. Suppose 3*d = 2*z + t, -d - 4*d + 165 = 5*z. Solve 4*y + d = -5*a + 7, -y = 3*a + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-105)\/(-28) - 5)*-44. Suppose 39 = 4*r + j. Sort r, 3, -15 in ascending order.\nAnswer: -15, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.4, -3\/5, -50707, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 502 * -0.4.\nAnswer: -200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4396, 8798, 13218, 17662, 22136, 26646, 31198?\nAnswer: 35798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjq when three letters picked without replacement from jvqtn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 974 - 1469 = 1085. What is the highest common divisor of o and 2646?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 323, 6 in descending order.\nAnswer: 323, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30386250 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) + 3)*-3 - sqrt(605)) + sqrt(605))**2.\nAnswer: 594*sqrt(5) + 5526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/12)\/((-24)\/45))\/(5\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.647 * 0.7\nAnswer: 0.4529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 3*z**2 + 29. Let b be m(0). Let d(r) = 4*r**2 + 16 - 58*r - r**2 - r**2. Let x be d(b). Solve -6*y = -2*y - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - g**2 - 2*g - 2. Let k(i) = 3*i**3 + 3*i + 3. Let c(y) = -y**2 - 4*y - 5. Let p be c(-3). Let h(r) = p*k(r) - 3*d(r). Factor h(u).\nAnswer: 3*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*x - 23*x = 309*x + 50490 for x.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - 2)\/((-3)\/1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/48 and -29\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 123996.\nAnswer: 619980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 94. Put k, -3, 0 in decreasing order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 532017, 1064289, 1596575, 2128881, 2661213?\n\"Answer: f**3 + f**2 + 532262*f - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, n: 6, a: 1, g: 2, b: 1, h: 2}. Give prob of picking 1 a, 1 n, and 1 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 53*f**2 - 2. Calculate g(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 164\/3 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -73. Solve -4 = -f - 3, -3*w - 7 = -r*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((658275\/(-3930))\/((-5)\/2))\/(-1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16162 (base 9) to base 11.\nAnswer: 8356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -559 - -605. Suppose -29*q = -x*q + 85. Solve -5*n = b - 7, 2*b + b - q = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14661 divided by -3\nAnswer: -4887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4796*n*v**6 - n*v**4 - 707*n*v**2 - 2*v**4 - 5 wrt v.\nAnswer: 575520*n*v**3 - 24*n*v - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let l = 3 - 6. Let q = l - -4. Let j(p) = 2*p**2 - 6*p + 2. Calculate q*j(h) - 6*t(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.011736302 and -2?\nAnswer: -0.023472604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 108 * 0.51\nAnswer: 55.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 + 16078518*g**2 - 27744064.\nAnswer: -6*g**2 + 32157036*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34120799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**3 + t**4 + 3*t**2 + 2 - t**2 - t + 7*t**3 + t**4 in the form m*t**3 + i*t**4 + a + u*t + f*t**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -10*g**3 - 8*g**2 - 10*g + 4. Let p(n) = -3*n**3 - n - 1. Let y(i) = -3*p(i) + z(i). Give y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 12 + 47 - 10*c**2 - 20 in the form s*c + q*c**2 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - d**2 - 122*d**4 - 3*d**2 + 101*d**4 - 3*d**4 - d**4 + 3*d**4 + (-3*d**2 + 3*d**2 - 2*d**2)*(2*d**2 + 3 - 3).\nAnswer: -26*d**4 - 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-380)\/380)\/(183\/(-6))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3\/10, 19\/7, -0.1, 27.5 in decreasing order.\nAnswer: 27.5, 19\/7, 0.5, 3\/10, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))**(-46)*(q\/((q*q*q*q*q**1\/q*q*q)\/q*q))**35*(q\/q**0)**14*q**(-3)\/q**(-3\/4) assuming q is positive.\nAnswer: q**(-1021\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.424 + -5.42399986584. What is h rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-14 - -20 - 29).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 1. Let j(b) = -b**2 - 2*b + 1. Let p be j(1). Let q be s(p). Solve 1 = 2*r - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4249345, -8498620, -12747895?\nAnswer: -16997170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2 + 2. Let k be w(2). Let u = -13 - k. What is the least common multiple of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4141 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n)\/n*n*(n*n\/((n**(-2)\/n)\/n)*n)\/n*n*n)\/((n*n**(-1\/2)\/n)\/n*n**(3\/10)\/n) assuming n is positive.\nAnswer: n**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9662421?\nAnswer: 3, 31, 107, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 5, w: 4}. What is prob of sequence ww?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48004433.392 - 48004692.39200647. Let u = k - -259. What is u rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.24942 millimeters in centimeters?\nAnswer: 7.024942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 3*d + d. Let x be (2 - (-68)\/3)*(12 - (-12 - -21)). Let w = d + x. Solve -8*r - 25 = -3*r, 5*v = -w*r - 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.148004 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 8) in base 15?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 12*q + 8. Let w be m(-11). Let g be ((-10)\/9)\/5 - (-5621)\/63. Suppose 9*j - 145 = g. Sort 5, j, w in decreasing order.\nAnswer: j, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -0.2, -3, -4\/5 in ascending order.\nAnswer: -3, -4\/5, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 298750*c**2 + 597502*c - 896254\/3.\nAnswer: -2*(c - 1)**2*(c + 448127)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = z - 162726, -19*z - 813735 = -24*z + 5*y. What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 502*c**2*w**4 - c**2 + 11579*c*w**4 - 71*c*w - 16*c - 3*w - 25 wrt w?\nAnswer: 6024*c**2*w**2 + 138948*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 6. Let g(q) be the first derivative of q**4\/12 - 5*q**2\/2 + 21*q - 93. Let w(u) be the second derivative of g(u). Calculate w(k(l)).\nAnswer: -2*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - (-2013)\/(-540)) + 4 and -5\/2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -17, 2, 1.\nAnswer: -17, 1, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = x. Suppose -a = x*a - 20. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.3 + 40. Let u = n - -3.3. Which is greater: u or -1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 93, 193, 309, 447, 613, 813, 1053, 1339?\n\"Answer: g**3 + 2*g**2 + 87*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/((-175)\/(-63) + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -31\/10. Let u(t) be the first derivative of j*t**4 - 1 - 3\/5*t**2 + 0*t**3 + 4\/5*t. Factor u(r).\nAnswer: 2*(r - 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 - 2*i**2 + 1. Let f be q(-1). Let s(b) = 17 + 0*b - b + 0*b - 15. Let g be s(f). What is the second biggest value in 1\/5, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + (1 - -1999))\/(-7 + 8). Let j = k + 177. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.1, -20\/9, -71\/436, 4?\nAnswer: -71\/436","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1910 = m + 5*g + 2088, -g = 3*m + 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4230666026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1077)\/(-19386) + 1534643\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Let h be ((-10)\/(-25))\/(16\/(-10)). What is the third biggest value in 1\/2, l, h, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755538031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u**3 + 2*u + 2. Suppose 98 = -5*t - 44*t. Let w(p) = p**3 - p - 1. Determine t*w(b) - v(b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 147*t + 141. Let j be p(48). Put -6\/13, 5, j, -1 in descending order.\nAnswer: 5, -6\/13, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -81. Solve 4*y + 3*c - k = 0, -2*y + 2*c = y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, 4.8, -0.4, 33920, 1\/5 in increasing order.\nAnswer: -0.4, -0.2, 1\/5, 1, 4.8, 33920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 9:53 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 13, b: 3, w: 1}.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000000101010 - 10011001101111?\nAnswer: 101100110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, 2, -5, 6\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 1. Let m be c(3). Suppose b - m*r = 2, -10 = -5*b - 5*r + r. Solve 15 = 5*x - b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)\/sqrt(45))\/(sqrt(200)*2))**2.\nAnswer: 19\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3303 and 31634299.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 701118*a**4 + 1644*a - 1 wrt a.\nAnswer: 8413416*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238372159*c**3 + 1098*c + 6816 wrt c.\nAnswer: -1430232954*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**6\/80 - p**5\/10 - 5*p**4\/6 + 11*p. Let u(s) be the third derivative of t(s). What is the tens digit of u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 1\/4, -2, 22, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 92 divided by -23\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 91 = o - 15, -25 = 5*o. Let i = -22 - f. What is the lowest common multiple of i and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 65, -1, 25, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20296 and 0.27277.\nAnswer: 5536.13992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588.8425 litres to millilitres.\nAnswer: 588842.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1612571*y**2 - 1612572*y**2 + 286*y**3 + 119*y - 41*y + 1 wrt y.\nAnswer: 1716*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 3, o: 1, m: 4, f: 1, k: 1}. Give prob of picking 1 k and 2 m.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8080967 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 + v + 70. Calculate g(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6662124?\nAnswer: 2, 3, 7, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158492263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 2*x**2 + 4*x**2)*(10*x + 3*x - 24*x)*(1802 - 1802 - 219*x).\nAnswer: -2409*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102122000 + -10?\nAnswer: 21102121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3301*a + 19806. Let b(s) = -s + 3. Give 6602*b(i) - v(i).\nAnswer: -3301*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 1\/4 (c) 7 (d) 959650\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1890 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let i(b) be the second derivative of -b**5\/30 - b**3\/2 - 16*b. Let a(c) be the second derivative of i(c). Determine r(a(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-1)*l)\/l*l)\/l)\/l)**16\/((l\/l**(-4))\/l**4))\/((l**(2\/3)\/l**(-3))\/(l**(-2)\/((l\/(l**(-1)*l))\/l))) assuming l is positive.\nAnswer: l**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -66444965550 to the nearest 1000000.\nAnswer: -66445000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -38. Suppose 0*w = -x - w + 68, -2*x = f*w - 136. What is the greatest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3215 + -3214. Is t greater than or equal to 39\/434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 65*n**3 + 144250*n**2 + 286290*n - 431145. Let t(h) = -h**3 - 2153*h**2 - 4273*h + 6435. Let f(u) = -2*p(u) - 135*t(u). Solve f(r) = 0.\nAnswer: -429, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56509*h*q**3 + 1161*h*q**2 - 215238560*h wrt q?\nAnswer: 169527*h*q**2 + 2322*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 6*l - 7. Suppose 0 = -4*q - 5*r + 23, 2*q - 2*r + r - 15 = 0. Let b be w(q). Let m = b + 7. What is the greatest common factor of 14 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*g + 140 = 41*g + 55*g. Let r(o) be the third derivative of o**4\/24 + 23*o**3\/6 - o**2. List the prime factors of r(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*y - 553, 8*i + 2*y + 697 = 13*i. Solve -133*j - 6 = -i*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1969178 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 + 2 + 355268\/(-38). Let x = -9344 - z. What is the common denominator of -41\/4 and x?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**2 + 3*i + 13. Let u(w) = -20*w - 16. Calculate 16*o(k) + 3*u(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 - -4 - (-12)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17920\/240 + -85)*(0 + 3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24 + (-3)\/3)*1. Let x = o + 29. What is the closest to -0.4 in x, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3032 + 2025. Let d = i + 1006.999998671. What is d rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 534332850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*s**4 + 47*s**3*w + 1450*s**2*w wrt s?\nAnswer: -744*s + 282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10326811 = -73*b - 10332651 for b.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.162 and 452.6.\nAnswer: -2336.3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (0 + 2 + (-5 + -17 - -8)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*i + 2 + (18*i - 265 + 265)*(2 - 1 + 2) as q + n*i and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 673 = -3*w, -5*w - t + 558 = -542. What is the highest common factor of 2756 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/184851 and 85\/414.\nAnswer: 369702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = -0*r + 5*d, 0 = -5*r + 5*d + 10. Suppose -305 = -h - r*k + 4*k, -4*h = -4*k - 1196. Calculate the greatest common divisor of h and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - 56. Let a = z - -137. What is the remainder when a is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10559*p**2*v + 4*p*v - p - 5*v + 32 wrt p?\nAnswer: -21118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/54*(-15)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(0*f**2 - 3*f**2 + 4*f**2) + 3*f**3 - 3*f**3 + 3*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 58. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1968515?\nAnswer: 1\/1968515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55644227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -129225.16255907+-0.4\nAnswer: -129225.56255907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11371 + 10927. Is g greater than -440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 7*n**2 - 5*n + 6. Let y be l(-6). Suppose -5*m + 5*v - 10 = 0, -4*m + y*v = -v - 1. Let c(q) = 13*q**3 - 2*q**2 + q. Is c(m) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.732512 rounded to 2 decimal places?\nAnswer: 35.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 237 = q. Let r = 3264 + -3303. Let a = r + q. Calculate the lowest common multiple of a and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 333 + 0?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5 + -3) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.4 - 0.6. Let q = 15.3 + v. Put q, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2534 divided by 7\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*210\/245*1\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 1035*n**2 - 34188*n.\nAnswer: -3*n*(n - 308)*(n - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-24) + 20\/(-3). Let g be ((-10)\/b - 1)*2361. Suppose 0*r - 2*r = -g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55358, -110926, -166494, -222062, -277630, -333198?\n\"Answer: -55568*h + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10962\/145 - ((-4)\/10 - 0) and 114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-492)\/287)\/((-390)\/(-28)) - 4\/5?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:04 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 3)\/(16\/144). Find the second derivative of f*x + 0*x**3 + 0*x**3 - 4*x**3 - 26*x wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15 + 11 + -1 + 1. Put 1, p, -5 in decreasing order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 347122?\nAnswer: -347124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((169\/(-182))\/1)\/(16578\/63) and 111\/6140.\nAnswer: 18420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*h + 14 = -s, 0 = -4*s + h + 17. Suppose m - s*m - 99 = -2*a, 127 = -4*m + a. Let p = 15 + m. Which is smaller: -17 or p?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**3 + n**2 - 2*n - 3. Calculate x(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3335534, 3335536, 3335538, 3335540?\n\"Answer: 2*d + 3335532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.8 in 3\/14, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -126f8a (base 16) in base 5?\nAnswer: -302130302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 704 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*d - 10, -2*d - 3 = 2*q - 11. Let v(o) = -o + 4*o - 2*o - o**q. Let j(y) = -6*y**2 + 4*y + 1. What is -j(c) + 5*v(c)?\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1 + 7 + -1 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - k**2 - 4*k - 1 + 0*k**2. Suppose 71*w = 14*w + 117*w - 120. What is u(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -557 + 5145444?\nAnswer: 5144665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myxv when four letters picked without replacement from {h: 1, v: 4, m: 3, b: 3, x: 1, y: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1420*j**3*o - 2036*j**3 wrt o?\nAnswer: -1420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbb when three letters picked without replacement from bbbbnbbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 164794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**4 - 3 + 0*a - 3\/2*a**2 - 1\/10*a**3 + 1\/100*a**5. Let y(w) be the second derivative of k(w). Factor y(o).\nAnswer: 3*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 2033 + -2031. Put -4, 3\/11, j, 54, 1\/7 in descending order.\nAnswer: 54, j, 3\/11, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2177249, 4354369, 6531489?\nAnswer: 8708609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30713341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -107. Let i = p + 19. What are the prime factors of (20\/i)\/((-4)\/90)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 61 + 79 = 0. Let b = -24 - s. Suppose -4*j + 15 = -37. Solve -5*y + b = 2*d, 0 = 2*y - 7*d + 2*d + j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1736 + 1415 - 519)*(16*n**3 - 5*n**4 - 16*n**3).\nAnswer: -13160*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -24.6, -13.87, 3\/5, -0.5 in descending order.\nAnswer: 3\/5, 0.04, -0.5, -13.87, -24.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 4 + 13*x - 11*x**4 + 0 wrt x?\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173878 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24985643.5 rounded to the nearest 10000?\nAnswer: 24990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-48) - (-34)\/6. Let r(d) = d**3 - d - 2*d**2 - 5*d**3 - 2 + 3*d**3. Let u(v) = -3*v**3 - 5*v**2 - 3*v - 5. Give i*r(l) - 2*u(l).\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.162 + 0.838. What is the closest to q in -2\/11, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 587547914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 4 - 4 - i + 0*i + 3*i + (2 + 1 + 3)*(-i - i + 0*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let s(b) = -42*b - 42. Let z(d) = -35*f(d) + s(d). Let l = 10 + -14. Is z(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**5\/20 - z**4\/2 + 5*z**3\/6 - 3*z**2\/2 - 18*z. Let f be r(-7). Which is smaller: f or 13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3 + 3)*(3*n**3 - 3*n**3 + 2*n**3) + n**5 + 9*n**2 + 25 - 25.\nAnswer: 3*n**5 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r. Let i be b(4). Suppose -5*j + i + 24 = 0. What is the remainder when j is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 + 4*k - 5. Let a be v(2). Solve a = 4*g - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1643 by -53.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 20101033?\nAnswer: -20101033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -53*s - 3. Let f(l) = -26*l - 2. Determine -5*f(x) + 3*m(x).\nAnswer: -29*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.7 - -17.71. What is the closest to 1\/2 in 0.4, s, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1689 - 13515\/8. What is the second biggest value in -2\/11, -25\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 10*l**2 - 13*l - 10. Let c be g(-11). Suppose -3*s + 36 = c. Solve x = -x + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t + 9. Let i be m(0). Suppose -213 - 75 = -4*x. What is the highest common factor of i and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 + 27*s - 6. Let z(p) = -6*p**2 + 26*p - 8. Calculate -4*n(c) + 3*z(c).\nAnswer: 2*c**2 - 30*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - n**2 + n - 3. Give s(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -52. What are the prime factors of 7*14 - (z + -5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*w**2 - 246*w**2 - 35*w**2 - 283*w**2 - 279*w**2 to i*w**2 + d*w + k and give i.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t, -3*g + 355 = 5*t - 316. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -554eb - -41?\nAnswer: -554aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -164467 + -81.9?\nAnswer: -164548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 37782 = 36294 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**6\/30 + g**4\/12 - g. Find the third derivative of y(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7490 is divided by 1461.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k = -54. Is 9\/(-6)*(-6252)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 385 - 390. What is the third biggest value in 0.9, -20, g?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 9, h: 4}. Give prob of picking 3 u.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -166 and -1.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*h - 55, 15 = -l + h + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + z + 6, 7*z = 4*z - 9. Suppose 9 = 3*h - 2*i, 5*h = 2*h - t*i + 9. Solve -c - 13 = -h*g, 4 = 2*c + 3*g + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46291 - -46253.7655. Let z = p + -0.0655. Round z to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**2 - 24*v**2 - 2*v**2. Let k(h) be the third derivative of h**5\/30 + h**2 - 20*h. Give p(k(o)).\nAnswer: -152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 3. Let o be n(-2). Let c = 1832 - 1827. Solve -14 = o*k - c*f, -4*k + k - f = 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*q**3 + 61*q**2 + 2.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**2\/2 - 14*s + 4. Let y(u) = 7*u - 6. What is 6*h(b) + y(b)?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6245 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*o**2 - 1426864*o - 487314359?\nAnswer: -14*o - 1426864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2440911, 4881828, 7322755, 9763698, 12204663, 14645656?\n\"Answer: g**3 - g**2 + 2440913*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 9d9?\nAnswer: -9d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 374 and 1177565.38.\nAnswer: 1177939.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1607063925 and 0.058.\nAnswer: -1607063924.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4221*b + 3. Let p be j(0). Factor 2\/3 - 1\/6*u**p + u**2 - 3\/2*u.\nAnswer: -(u - 4)*(u - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43488760 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: Let o = 4 + 12. What is the tens digit of (2 + -4)\/((-2)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3591?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 4 - (295 + -347)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from {a: 7, b: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 10 = -3*n - 9, -6*a = 4*n - 62 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 93 (base 12) to base 11\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 70*g - 2009 = 0. Put 1\/3, -0.3, g in increasing order.\nAnswer: -0.3, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44 + 18 - 96) + 11\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 2:41 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 116. Calculate the remainder when 430 is divided by q(17).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15647 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -183\/927454 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y - 6136 + 6136 as z + k*y and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-9 - 1512\/(-147))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:08 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8690 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77517 by 319.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 537 and 120.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*c**2 - 166*c**2 + 1858*c**2.\nAnswer: 1954*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhbbvpbbkbhhhy. What is prob of sequence pkh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699617305.\nAnswer: 5, 3221, 43441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-37))\/7*(360\/63)\/20?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4405 - 4147. What is the highest common factor of 602 and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2 - 7\/2). Suppose -4*u + 8*u + 8 = -5*l, 5*l - 3*u + 29 = 0. What is the closest to 2\/9 in m, -1, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3192 and 431928?\nAnswer: 8206632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - q. Let s(c) = 3*c**2 + 2*c. Let i(j) = 3*s(j) + 4*t(j). Let l be i(2). List the prime factors of 4*((-2)\/l + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -10, 6, 32, 0 in descending order.\nAnswer: 32, 6, 0, -10, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -33*b**7\/7 + 4*b**6 - 858*b**3 + 7372. What is the third derivative of q(i) wrt i?\nAnswer: -3960*i**3 + 1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34665?\nAnswer: 3, 5, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101891 is divided by 64?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38a (base 12) to base 5\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-3 - (-4 - -5)). Solve -4*v + o = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 632 and 790.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 134*m**2 - 4532*m - 130. What is n(28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 2. Let i be s(5). Let p = 88 + -85. What is the second derivative of -3*h**3 + 6*h**p - 2*h - h**3 - h**i wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnfdkffrfdrfkfdlk. What is prob of picking 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 - 3*w**3 + 5*w**3)*(-3*w**2 + 5*w**2 - 3*w**2) + 3*w**5 + 17*w**5 - 7*w**5.\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158873434*k**5 - 157562313*k**2 wrt k?\nAnswer: 9532406040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.638962 months in centuries?\nAnswer: 0.002199135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2 + 120*y - 118 = 0.\nAnswer: 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-14) + 10\/35. Let x be 0\/3 - (0 - j). Determine m, given that 3*m**3 - 5*m + 5*m**4 + x*m - 7*m**2 + 2 + 0*m**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 255 = -3*i, 113 = i - 3*k + 28. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15066 and 1674?\nAnswer: 15066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -3*a - 5*h + 13, 5*h - 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 4 - 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107551235, -430204940, -967961115, -1720819760, -2688780875, -3871844460, -5270010515?\nAnswer: -6883279040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**4\/6 + 11*g**3\/3 - 225*g**2\/2 - 13*g + 7. What is the derivative of a(b) wrt b?\nAnswer: 4*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 11. Let h be (4\/d)\/(1\/(-4)). Let q = 922.3 + -922. Which is the nearest to q? (a) -1\/5 (b) h (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 30 - 12*c in the form z + h*c and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27453 + 1?\nAnswer: 27454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -212 in decreasing order.\nAnswer: 2, -4, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from uuyyyyyyuyuuyyyyyyyy.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3 - d**2 + 8*d - 4 + 2 + 0. Let l be r(7). Suppose 3 + l = m. Sort m, -2, 3 in increasing order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619825098.\nAnswer: 2, 3, 31, 3332393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2218*w + 95455. What is n(43)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6313 - -342?\nAnswer: 344.6313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*s**2 + 86*s - 86*s)*(-3*s**2 - 4*s**2 + 3*s**2).\nAnswer: 468*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4633a21 (base 11) to base 9\nAnswer: -16217387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 25*q. Let l(w) = -w**2. Determine l(t(s)).\nAnswer: -4*s**4 - 100*s**3 - 625*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19721196, 19721205, 19721216, 19721229, 19721244?\n\"Answer: f**2 + 6*f + 19721189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4)*o*(o*o**(1\/9))\/o)**21)**(5\/7) assuming o is positive.\nAnswer: o**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2. Let v(t) = -t**3 + 12*t**2 - 26*t - 7. Let g be v(9). Let f(l) = 19*l**2 - 10*l**2 - 8*l**g. Give f(c(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -736*m**2 + 4*m - 6. Let h be p(2). Let z = h + 58867\/20. What is the common denominator of z and -19\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -524, -255, 480, 1915, 4284, 7821, 12760?\nAnswer: 19335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 3, -12\/47, -3\/7?\nAnswer: -12\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 110*v**2 + 372*v + 3313. List the prime factors of z(-9).\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87958360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*r**3 + 1667*b**2*r**2 + b**2*r + 698637*b*r**3 wrt b.\nAnswer: -2*r**3 + 3334*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*n = 6*n. Does -4722 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 455915414.079312 + -455919939. Let u = y - -4525. Let n = u - 0.079. Round n to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351237*m**5 - 182*m**3 + 281613342*m**2?\nAnswer: -21074220*m**2 - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/((-6*sqrt(120) + sqrt(120) - sqrt(120))\/sqrt(10)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 502476553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -0.5 (c) -5.316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -46*o**2 - 110*o + 248. Let q(c) = 7*c**2 - c. Let m(y) = a(y) + 6*q(y). Determine s so that m(s) = 0.\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let g = -227 + 329. Let r be (-10)\/8 + (4 - g\/24). Sort 4, r, z in decreasing order.\nAnswer: 4, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 2*j**4 + j + 9 + j**4 - 9 - 5*j**4 + 2*j**4 + 2*j**4 + (0 - 1 + 3)*(0 - 2*j**4 + 0) - j**2 - 2*j**4 + j**2.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x - 1. Suppose -3*u + 6*u = -2*r - 9, -3*u + 2*r = -3. What is i(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o + 3. Suppose -2*m = m - 5*c + 11, 3*m + 3 = 3*c. Let z(h) = 7*h - 3. Let y(b) = m*w(b) + 2*z(b). Is y(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.293 (c) 2\/17 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + 7 + -9 - 5 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 minus 3308339813?\nAnswer: -3308340174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(32\/3)*b))\/(b**(-25)*b)*b*b**6*b**(-2\/9) assuming b is positive.\nAnswer: b**(181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**3 - 5*d**2 + 5*d - 6. Let q = 226 - 231. Let g(k) = -6*k**3 - 6*k**2 + 6*k - 7. Give q*g(x) + 6*w(x).\nAnswer: -6*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -89, -310, -755, -1502, -2629, -4214?\n\"Answer: -13*s**3 + 5*s**2 + s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u + 1 + 11*u**2 + 8*u**2 - 10*u**2 - 3*u**2. Let g(i) = 7*i**2 + 7*i + 1. Determine -5*g(p) + 6*x(p).\nAnswer: p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 476\/11 + -7096\/165. Let s = -1 + 2. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-31*t + 469*t + 1232*t) + (-5*t + 0*t + 3*t)*(0 + 3 - 2) - t + 2*t + 0*t + 2*t + 0 + 0 - 3 + 3 + 2*t in the form q*t + g and give q.\nAnswer: 3343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2544 - -1.2544. Is -241 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 52, -1\/11, 0?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -418 and -0.5.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9071 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 + 28158*a\/5 - 2759553\/5.\nAnswer: 3*(a - 97)*(a + 9483)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or -6426?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-1*-5 - (sqrt(330)\/(-2*sqrt(6)))\/sqrt(11) - (1 + ((sqrt(110) - (sqrt(110)*2 + sqrt(110)))\/sqrt(2))\/(3*sqrt(22)\/sqrt(2))).\nAnswer: -1 + 337*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931521 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k - 6. Let g be p(-2). Suppose -3*c - 2*u = -17, -4*c + u + u = -18. Suppose f = -c*h + 14 + g, 2*h - 16 = 2*f. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194317, -388630, -582941, -777250?\n\"Answer: m**2 - 194316*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/43901 and 19\/251433.\nAnswer: 2765763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 25*h = 74*h - 393 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*y - 421*y - 13*y**2 - 423*y.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, 14, 34, 72, 134, 226?\n\"Answer: z**3 + z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 16*b**2 - 18*b - 13. Let s be i(-17). Suppose 0*o - 84 = -s*o. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 4*c**2 - c - 4. Let y(m) = -10*m - 76. Let a be y(-8). What is x(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeveve. Give prob of sequence vev.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10774061 by -27.\nAnswer: 10774061\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*x + 9*x - 210 = -46*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1973640 rounded to the nearest 10000?\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/((-255)\/(-264) - 1). Let f(i) = i**3 + 8*i**2 - 11*i + 16. Let n be f(-9). Let h = n + -30. What is the greatest common factor of h and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-18)\/6)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(3\/(-9)). Let u be -1 - (9\/(-3) + v). Let g = u - -3. Does g = 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/2273 >= -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201737 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 37*r**2 - 119*r + 37. Calculate h(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -182, -7 in decreasing order.\nAnswer: 2, -7, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 1321*j - 3860*j + 1269*j + 1314*j.\nAnswer: j**2 + 44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 + 0.08. Let m = -0.15 - f. What is m rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3458.2 and 33?\nAnswer: -114120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29\/(8 + -3 - 531\/108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*x - 567 = 2241 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l*l**(-2\/69)*l)\/((l**22\/l)\/l))\/(l**16)**(-33))**(15\/2) assuming l is positive.\nAnswer: l**(176975\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 9 + 6*y + y - 7*y**3 - y. Let q(c) = -11*c**3 + 13*c + 19. Let i be ((-1)\/2 + 1)*-12. What is i*q(l) + 13*f(l)?\nAnswer: l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1330296*j**2*y**3 - 3*j**2 - 4*j*y**2 - 6367*j + 33*y wrt y?\nAnswer: -7981776*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by 2.\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 0*p**2 + 0*p - 118\/3*p**3 - 96 - 29\/4*p**4. Find the third derivative of o(z) wrt z.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 10\/(-15))*12. Suppose 4*h - v - 12 = 0. Let m(y) = -y**2 + 7*y. What is m(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-84)\/2)\/((-2)\/18). Let d = 1437 - q. Let l = d + -724. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871023502 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 883.10100074 - 883.1. Let f = v - 0.001. Round f to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/(g**2*g))\/(g*g**(-12))**(1\/14))**5 assuming g is positive.\nAnswer: g**(-575\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 8495.9 (b) 39 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -40*v + 39*v - 5, j + 2*v = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) 44.6 (c) 4 (d) -300\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2385\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1975*b + 618193. What is d(313)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 17*f. Let w be c(3). Suppose 5*n - 2*n - w = 0. Suppose -3*x = 4*t - n, 2*x + 3*t - 13 = 2*t. Calculate the highest common divisor of 28 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 1 + 13*a - 2*a - 6*a. Suppose -3 + 7 = 4*z. Let p(j) = -5*j - 7. Calculate z*p(c) + 6*o(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) -19 (b) -3\/59 (c) -0.03 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 6. Let t(o) = -2*o**3 - 2*o - 1. Let u be t(-1). Let k be w(u). Which is greater: -1\/3 or k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2242*m**3 + 619928*m**2 - 612739*m\/2 - 4155\/2 = 0. What is m?\nAnswer: -277, -15\/2242, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -562, 0, -3, 3, -1 in decreasing order.\nAnswer: 3, 0, -1, -3, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -69.4. Which is the closest to 0? (a) d (b) 5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-2)*m)))\/((m**(2\/3)*m)\/m))**(-7) assuming m is positive.\nAnswer: m**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*m = -6*o - 14, 3*o + 3*m = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 2:51 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 3, d: 1, f: 1, y: 1, o: 4}. What is prob of picking 1 d, 1 y, and 2 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*c = 6 - 18, 4*c + 12 = 3*b. Solve -b*z + z = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -8*a + 18. Suppose -5*i = 4*j - 0*j - a, 0 = 3*j - 3*i - 27. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1124\/5, -0.5 in descending order.\nAnswer: -1\/3, -0.5, -1124\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -2 - -1 - (7 + 23 + -14) - -75\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/6*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = -0*f. Suppose 5*u = -5, 0 = 2*h + f*u - u - 138. Is 30 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + 2 - (10 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 209\/8, -0.1, 3, -2, 4 in ascending order.\nAnswer: -2, -0.1, 3, 4, 5, 209\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7918 = -437*n + 651*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**4*(u*u**(-5\/2)*u*u)\/u**(-3\/7)*u**(1\/10)*u*u*u\/(u\/u**(-5))*u*((u**(2\/5)*u*u)\/u)**(-28) assuming u is positive.\nAnswer: u**(-1546\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from pypoxggsgpx?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*(-13)\/13)\/(2\/34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -30*l - 10. Let h = 178 - 79. Let p = h + -96. Let z(t) = 91*t + 30. Let s(n) = p*z(n) + 8*c(n). Differentiate s(v) with respect to v.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -13*m**4\/2 - m**2 - 101*m + 61. Differentiate b(c) wrt c.\nAnswer: -78*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 274243\/27 + -10159. Calculate the common denominator of c and 65\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**6\/30 - 3*o**5\/20 + o**4\/4 - o**3\/6 - 2*o. Let w(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 295858*k*w + 203353*w wrt k?\nAnswer: 295858*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9490.95 nanometers to micrometers.\nAnswer: 9.49095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001923973669 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7944338.\nAnswer: 2, 17, 23, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2191599469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -26, -26, -16, 10, 58, 134?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -88257*z + 24. Let l(i) = -2*i. Determine l(g(b)).\nAnswer: 176514*b - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 553.\nAnswer: -120\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 79, 124, 173?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let w be p(12). Suppose 5*j + b = -4*b - 5, -4*b = -j + 4. Suppose j = -5*z + 4*z + w. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1098 and 0.3.\nAnswer: 329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/3)*s)\/s)**(1\/35)*(s*s\/s**(-1)*s)**(14\/11) assuming s is positive.\nAnswer: s**(5891\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -36, -85?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930016 is divided by 2448?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6.5, 33.2, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101130132 - -1?\nAnswer: 1101130133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvq when three letters picked without replacement from {m: 3, q: 1, v: 1, x: 1, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5402144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10371\/31 + 334. Find the common denominator of 410\/30*(-3)\/(-5) and r.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-4641)\/14. Let y = m - 109. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 5*u, -3*k + 6*k - 2*u - 13 = 0. Suppose 2*z - 3 = k. Suppose 3*j + 22 = a - j, z*j - 202 = -5*a. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 610306, 0 in decreasing order.\nAnswer: 610306, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t - 5 - t - 4*t + t wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 12*x + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/(r**(8\/5)\/r))**8)**(-6\/11) assuming r is positive.\nAnswer: r**(864\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.10812 or 17\/6?\nAnswer: 0.10812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8610787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 25626, 2, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.85 - -0.15. Let j = 2389.5 + -2390. Put u, -0.89, j in increasing order.\nAnswer: -0.89, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, -32 in increasing order.\nAnswer: -32, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -43.7. Let j = 0.4 - x. Sort j, 0, 1.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-15)*i**(-2\/5)*i\/i**(-2\/15) assuming i is positive.\nAnswer: i**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -784302 + -5.\nAnswer: -784307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:07 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 421 - -4?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 10*j - 1. Let b be m(11). Suppose 2*r - 2*r + 4*r = 0. Suppose r*n - 5*n = -b. Solve -n = -s - s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**3 - 21*q**2 - 19*q + 2. Let m be i(-1). Let o = -0.5 - -0.3. Which is bigger: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104117?\nAnswer: 13, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026623 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/2)\/z)**(-10\/7)*z**(-19)\/(z\/(z*(z*z\/z**17)\/z*z)) assuming z is positive.\nAnswer: z**(-253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -129*k**2 - 817*k - 261. Determine u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-2 - -3) + -5). Suppose 0*j + 4*h + 8 = -3*j, g = 4*j + 3*h. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -438802.09200082 - -438802. Let a = i - -0.092. Round a to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -155, 426, 1 in descending order.\nAnswer: 426, 95, 1, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/5 in 3, -7, -0.3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4214852 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:34 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 11*m - 10. Let q be x(4). Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*5)\/((sqrt(972)*-1 - sqrt(972)) + sqrt(972)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 3, v: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 463*r - 462.\nAnswer: -(r + 1)*(r + 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10448082*d + 6*d**3 + 20896192*d - 10448110*d.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395499218.\nAnswer: 2, 131, 673, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {x: 3, f: 1, c: 1, y: 4, j: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 90*l + 197. Let z be t(-32). What is the greatest common factor of 262 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -370, -3.\nAnswer: -370, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-36*j - 66*j**2 + 36*j)*(3*j**2 - 10*j**2 - 2 - 2*j + 1).\nAnswer: -462*j**4 - 132*j**3 - 66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 43 = -229*g + 233*g, -4*f = -3*g + 41 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 8*r - 82 = 0, 4*n - 84*r - 28 = -80*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 367*f**3\/3 - 171*f + 243. What is the derivative of u(l) wrt l?\nAnswer: 734*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48758 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 11*z + 5*s - 68627, -2*z - s = -34303. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 430 + -429. Suppose 20*g = 18*g - 2. Put g, p, -5, -2 in ascending order.\nAnswer: -5, -2, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x. Let n(y) = -18*y**2 + 2*y. Calculate z(n(q)).\nAnswer: -180*q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3312 and 51?\nAnswer: 56304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1643 - -106?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 171?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 63. Suppose -4*u = q - 3*u + m, -5*q + 4*u = 78. Let x be (q\/(-45))\/((-46)\/10). What is the closest to -1\/4 in x, -2\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*i**3*s**2 - 2478*i**3*s + i**3 + 2*i**2 - 695*i*s**2 wrt s?\nAnswer: -32*i**3 - 1390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let i(s) = -s**2 + 3. Let j(r) be the third derivative of -r**3\/6 + 10*r**2. Let t(k) = 5*i(k) + 15*j(k). Calculate c(t(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 15*m - 18. Let o be y(-14). Let t(l) = -l - 6. Let q be t(o). Let w be q\/5 + (-120)\/(-50). Solve -1 = -w*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 5, -3\/7, -3 in decreasing order.\nAnswer: 61, 5, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2124070 is divided by 1788.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2379.4 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4901435.\nAnswer: 5, 7, 11, 29, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*i, -4*i + 3*i = -5*z. Let y be 4*3\/24*i. Suppose -w + 2*w - 5*a = 24, y = w + 2*a + 4. Solve 0*t = -w*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3233?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46*1*(-4)\/(-8). Let o = 17 - h. What is the units digit of o*(-27)\/2 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*(960\/28 - 40) + -8\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + -2 + -1 - (sqrt(5) - (2 + sqrt(5) + 0))*-3) + 3.\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*h + 2. Let i = 1 + 2. Let n = h - i. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1179*p + 586*p + 588*p + 5 = 0. Which is the smallest value? (a) p (b) 19 (c) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 1. Let r be u(3). Let p = 12 - 23. Let i be p\/(-4) + (-1)\/(-4). Put i, 5, r in increasing order.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92722 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*y = -r + 27, 0 = -5*r - 3*y + 118. Let c = 27 - r. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59341 is divided by 288?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 225*t + 261*t + 262*t + 261*t + 257*t - 1266*t + 5*t**2.\nAnswer: 5*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21518 + -15154. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -141, 18, -9, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4\/4 - 23*a**3\/3 - 23*a**2\/2 - 50*a - 995. Give o(24).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 54\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 - 247*p**3\/5 - 253*p**2\/5 + 1243*p\/5 - 744\/5.\nAnswer: (p - 248)*(p - 1)**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76256\/15 + 14689\/3. Suppose 0 = 2*j + t + 376, 4*t + 188 = -j + 6*t. Let k = d - j. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4208511, -4208503, -4208495, -4208487?\nAnswer: -4208479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16638 and 99828?\nAnswer: 99828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**6\/6 - 4*a**2 + 4. Find the second derivative of d(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**3*q**5 - 2*l**3*q - 21*l**3 + 156*l*q**2 - 53283*q**5 wrt q.\nAnswer: 240*l**3*q**2 - 3196980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.287455ml to litres.\nAnswer: 0.006287455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 7*f**2 - 3*f + 10. What is u(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21245 and 16996?\nAnswer: 84980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = -2*m + 4, 3*v + 2*m - 4 = 0. Suppose -3*h - 15 = v, -2*i - 2*h + 6*h = -40. Solve -8*t + i*t = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388529 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 23 + 21*o**2 + 2*o**3 - 8*o**3 - o**2 + 9*o**3 - 4*o**3 + 21*o. Calculate the remainder when 64 is divided by p(21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 164, 178, 192, 206?\n\"Answer: 14*r + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 2 - (-8 + 7 + 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-3) + 2\/(-3). Let s be (b\/6)\/(8\/(-6)). Let g = 9 - 5. What is the nearest to 0 in s, g, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-5))\/((840\/(-15))\/(-2))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k**(-5\/2))\/k*k*((k*k*k**(-1\/4))\/k)\/k)\/(k\/((k**2*k)\/k)*k*k\/(k\/k**2)) assuming k is positive.\nAnswer: k**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.14 rounded to 0 decimal places?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1768*w - 1764*w. Let v(b) be the second derivative of 6*b + 15\/2*b**3 - 5\/2*b**4 + 1\/4*b**5 + 0 + w*b**2. Find g, given that v(g) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 9 + 3. Suppose -m + 1 - 5 = 0. Calculate the lowest common multiple of (3\/2)\/((-3)\/m) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -1\/65 (c) -5\/4 (d) -40 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 182*v - 6 - 183*v + 4. What is d(10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -10.9, 2, 39 in descending order.\nAnswer: 39, 2, 0.5, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5713.4295 minutes in days?\nAnswer: 3.967659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2 + 44*u + 9. What is p(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1200136 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x - 117. Let h be v(4). Suppose 6 = -l - 2*d, -10 = l + 5*d - 2*d. Determine s so that l - s**2 + 2*s + 2*s**2 - h*s - 2*s**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.9732 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f - 5. Let v = 2 - 0. Suppose -3*p + 2*r - 3 = 5*r, v*p = -5*r - 11. Let s be h(p). Calculate the highest common factor of s and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561 = 21*s - 216. Solve -5*x + 3*q - s = 0, 3*x - 8*q + 4*q + 31 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -81*(-9 + 26\/3). Solve -q*m = -30*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 + 230. Let p = 157 - s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 2*y - 4. Let c(h) = -10*h**2 + 7*h - 13. Let m(i) = 6*c(i) - 21*s(i). Differentiate m(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 6*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 284963747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 5*a**2 - a**2)*(2*a + 3 - 3)*(7 + 5 - 6).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -30438993\nAnswer: 12175597.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12656 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21880 times -0.0518?\nAnswer: -1133.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/6)\/((-6)\/(-9) - 0). Suppose p*v - 3*v - 373 = -5*q, 464 = 5*v + 4*q. Let b = -33 + v. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 37 - 32 = 2*v, -31*y + 3*v + 170 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 2, 6, 4 in descending order.\nAnswer: 6, 4, 2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -24*j**3 - 4*j**2 + 113*j. Let y(m) = 13*m**3 + 3*m**2 - 56*m. Let u(f) = -4*o(f) - 7*y(f). Solve u(q) = 0 for q.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*f + 93*f + 97*f + 88*f - 466*f + 103*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 153 = 6*v, -337 + 270 = -4*v + 3*x. Which is the second smallest value? (a) 4 (b) 0.12 (c) 0.4 (d) -0.2 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 8. Let h(l) = -4*l**2 + 7. What is -6*h(n) + 5*u(n)?\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = o + 10, -7*o + 2*i - 4 = -3*o. Suppose o = 5*w + 2*k - 2869, w - 2*k - 572 = -3*k. Let x = w - 166. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 78*o - 46*o - 71 - 46*o + 70. Let g(h) = -5*h. Determine 17*g(j) - 6*w(j).\nAnswer: -j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14.1. What is the closest to r in -2\/19, -0.3, -1\/8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5*d - 6. Let a be u(6). Are 1\/46 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dllllddlldl. Give prob of picking 3 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -581*f - 10105 - 2*f**2 + 214*f - 25273 - 165*f.\nAnswer: -2*(f + 133)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 9) to base 12\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3923 is divided by 3915?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6521, -26115, -58759, -104453?\nAnswer: -163197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49974 divided by -2?\nAnswer: 24987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**7\/7 - 2*n**5\/5 - 99*n**4\/4 - 31*n**3\/3 - 55*n + 4887. Find the third derivative of h(g) wrt g.\nAnswer: -120*g**3 - 48*g - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(95\/30 + 0). Suppose 0*m - 5*m + 25 = 0, -2*b + z = 5*m. Let u(o) = 2*o. Let k be u(-2). Sort b, -1, k in decreasing order.\nAnswer: -1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - -27.6. Let x = f - 58. Let v = -1 + 1.2. What is the second smallest value in 0.3, x, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.9131 + 1.3901. Round l to one decimal place.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = 39 + 26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -34 - (13 + -56)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 9*f**2 - f + 3. Let y(b) = -7*b + 1. Let a be y(1). What is the lowest common multiple of 218\/10 + a\/(-30) and h(-9)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 0.4, -39\/7, -8, -12 in decreasing order.\nAnswer: 0.4, -2\/27, -39\/7, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q**2 - 487*q + 3530. Let k be a(13). Suppose 12 = -4*u, -6*j = -5*j - 5*u - 207. Calculate the highest common divisor of k and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.273 from 1082.769.\nAnswer: 1083.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 3, 4, -556.\nAnswer: -556, -16, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*b - 10, p + 3 = b + 1. Suppose 4*v - 4*h = 49372, h + 17414 + 7275 = 2*v. Suppose 4*t - 5*t - v = -2*w, p = 3*t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 3*c. Put -4, -0.1, c in increasing order.\nAnswer: -4, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3*12\/(-1). Let x be 30\/(-8) - (-2)\/(-8). List the prime factors of 2\/t + (-30)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + d - 38 = -37, 9 = -5*u - 2*d. What is the closest to u in 338, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 44*p**2 - 14649*p + 413. Calculate c(101).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-1))\/(2\/2). Solve -3*d - 2*d + h = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -810 - -824. Calculate the remainder when 754 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*o - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 2*y**2 - 3*y - 48. Calculate q(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 1976772198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/14? (a) 34 (b) 2\/5 (c) -299\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 37. Let y(m) = 4*m - 38. Let g(w) = -3*h(w) + 2*y(w). What is the units digit of g(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 8. Determine w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -373097+-68.7\nAnswer: -373165.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3880776 and 33340.\nAnswer: 19403880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d - 21?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -288384787307?\nAnswer: -288384787311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -i + 261, i + 4*i = 3*m + 183. Let q = m + 180. List the prime factors of (q\/(-9))\/((-2)\/6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/11)\/u*u**(-1\/5)*(u**(2\/25)\/u)\/(u*u*u**(-1\/8)) assuming u is positive.\nAnswer: u**(-8389\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18827098, -18827106, -18827116, -18827128, -18827142, -18827158, -18827176?\n\"Answer: -u**2 - 5*u - 18827092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 2069*b - 8280. Suppose 111 = 5*v + 31. Calculate the remainder when t(4) is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5501 and 32.\nAnswer: -176032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -45. Solve -2*h - d = -5*y + h, 5*y + 3*h = 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = 0, 3*i = -0*y - 4*y + 52. Find the first derivative of 9 - y*m + 23*m - 19*m wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 128768*z - 1036324864 = 0 for z.\nAnswer: 16096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 18}. What is prob of picking 1 a and 1 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2))**(1\/56)*a**0\/(a\/(a**2\/a)))\/((a**1)**(18\/5)\/((a*a*a\/(((a*a**(3\/5))\/a)\/a))\/((a*a**(-2))\/a))) assuming a is positive.\nAnswer: a**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, -4\/3, -15\/11, -0.0421?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*j + 4*h, 8*j + 3*h + 15 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 150?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3892 + 3908. Solve -g + k + 8 = 0, -3*g - 2*g + x = k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) 72 (b) -0.5 (c) 0 (d) 0.2 (e) -2\/9 (f) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 11*j - 14*j + 30*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413585 divided by 232.\nAnswer: -413585\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89603 - i**2 - 89603.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 2, f: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - k**2 - 3)*(3*k - 4*k + 3*k + k**2) - 10*k**4 + 19*k**4 + 15*k**4 in the form i + r*k**3 + b*k + u*k**2 + x*k**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 525, 541, 571, 621, 697, 805, 951?\n\"Answer: d**3 + d**2 + 6*d + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 14*n**5\/13 + 242*n**4\/13 + 1496*n**3\/13 + 3992*n**2\/13 + 320*n + 896\/13 = 0?\nAnswer: -7, -4, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57245692.\nAnswer: 2, 7, 2044489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v - 13. Let m be ((-360)\/27)\/((-1)\/3). Suppose 4*x + 3*c - 11 = 0, -5*x + 9*c = 4*c - m. Calculate the remainder when v is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*w + 28, -2*u + 33 = 4*w - 7. Solve u = -4*d + 32 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 93. Is (n + 39)\/(2\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12 + 0*n**2 - n**3 - 6 + 4*n**2. Determine u(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v - 339175 = d, -226118 = -2*v + d. Let p = 882464 + -379407. Let y = p - v. What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2*b - 2)*(-49*b + 152 + 125*b - 52*b).\nAnswer: 48*b**2 + 280*b - 152","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = -0*r - r, 0 = -2*t - r. What is the nearest to 3 in t, -3\/7, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(120) + (sqrt(120) - -5*sqrt(120)*-1))\/sqrt(10))\/((sqrt(6)*1*-3 + sqrt(66)\/(1*sqrt(11)))*-5))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 4*j**2 + 3*j**2 + 219*j - 7*j**2 + 3*j**3.\nAnswer: 3*j**3 - 2*j**2 + 219*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/30*4*-1)\/((-4)\/(-70))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/((-14025)\/(-12155) + 2\/(-13)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166192 is divided by 26882?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 961 and 583327?\nAnswer: 583327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 106*a**2 - 1525*a - 1525. What is u(-1)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 1 e when three letters picked without replacement from {k: 2, x: 5, f: 2, e: 2, q: 8}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:16 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10006*a**3*o**2 + 2*a**2*o**2 + 2*a*o**2 - a*o - 5*a + 16*o**2 wrt a?\nAnswer: 60036*a*o**2 + 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 1. Give i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1737812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 209 = 3*v - 0*w, 359 = 5*v - w. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*(-3 + 0 + sqrt(1100)) + sqrt(1100)*-2*6*6)**2.\nAnswer: 23760*sqrt(11) + 4791922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*z + 4*u, -5*z - u = -34. Let i be ((-12)\/(-16))\/(3\/8). Find the third derivative of -9*w**6 + w**z - 11*w**i - w**6 wrt w.\nAnswer: -1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o - 1. Let p be 5\/((-6)\/4*(-6)\/9). Suppose p*v = -9 + 29. Let u(w) = w. Calculate v*u(j) - i(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 13. Let f be j(-7). Suppose 0 = -v - z + f, -3*v + 10 = -2*z - 67. Let i = 20 - 5. Calculate the remainder when v is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100678230 and 11424480.\nAnswer: 1610851680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13014 (base 5) in base 15?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(8\/7)\/d**(-5\/4) assuming d is positive.\nAnswer: d**(67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.491 - 0.891. Is w != -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 0*n. Let r be (n - 35\/30) + (-1)\/(-2). Let v = 385 - 384.8. Which is the fourth biggest value? (a) v (b) r (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.5963 rounded to one dp?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -579830202 and 414.\nAnswer: -579829788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 1297.2, -5, -12\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-384 - 2*o + 385 + 10*o)*(-5*o - 2*o + 3*o).\nAnswer: -32*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4) + (330\/(-12))\/(-5). Suppose q + 4*i = -4*q + 32, -4*q = -a*i - 4. Suppose 0*x + q = 2*x. Solve 0 = -c - 3 + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose 22 + 14 = p*u. Calculate the greatest common divisor of 162 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -754 and -56464\/75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1dae0 (base 15) to base 12\nAnswer: 48140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23728*s + 2*s**2 + 29*s**3 + 5*s**3 - 23726*s to z*s + v*s**2 + l + k*s**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Let h(q) = 53*q. What is z(h(u))?\nAnswer: 53*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 85*r = -90*r + 139, 546*x - 551*x = 5*r - 155 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o**2. Let u(d) = -4*d**2 + 14*d. Let z(x) = x**2 - 3*x. Let a(y) = 3*u(y) + 14*z(y). Determine s(a(w)).\nAnswer: -44*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 157194\/(-7872) - 10*(0 - 2)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -485.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 4*k - 5. Let z be l(2). Let o(t) = -t - 5. Let p be o(z). Solve 14 = 3*m - 4*m - p*x, 2*m = -5*x - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -6*b - 5\/12*b**4 + 28\/9*b**3 - 11\/2*b**2 + 45. Factor x(d).\nAnswer: -(d - 3)**2*(5*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 184.5. Let x = -13.5 - t. Which is the second biggest value? (a) 4 (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 224\/40 - (2\/(-5) + 1). Solve 0 = 2*j - 5*r + 16, 0 = -s*j + r + 3*r - 23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*y + 4*y. Suppose -y*b + 16 = -b. Solve 4*s + 3*p = 20, 2*s - 6*s = b*p - 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -4, -0.4, 2, 362 in ascending order.\nAnswer: -4, -0.4, 1\/8, 2, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964627?\nAnswer: 29, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 34*t - 32*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 86698 = -34*w + 30*w, -216721 = -5*l - 2*w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-9 - (-10 - -2)) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 395 + -170. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + u. Let r(p) = -9*p**2 - 10*p - 2. Let v(m) = -r(m) - 6*w(m). What is the remainder when 10 is divided by v(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - k**2 + 2 - 2*k + 2*k + 2*k**2 + (1 - 4 + 1)*(0*k**2 + 2*k**2 + 0*k**2) - 5 + 5 - 2*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (-34 - -36 - 27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1139 and -9?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkikmkikkkikii. What is prob of sequence kik?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 201327, 201333, 201351, 201387, 201447, 201537, 201663?\n\"Answer: x**3 - x + 201327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - s - 6. Let n(o) = -o - 4. Let u be n(-6). Suppose -3*m - 7 = -5*i, -u*m + 3*m - 16 = -2*i. What is the units digit of z(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 2*b**2 + b. Let f be z(2). Let g(o) = -2*o - o**2 + f + o**3 + 0*o + o. Suppose 5 = 4*n + 2*i + 3, -4*n - 3*i = 1. Determine g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 426, 801, 1176?\n\"Answer: 375*a + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10169, 20426, 30687, 40946, 51197, 61434, 71651, 81842?\nAnswer: 92001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*f - 237*f - 22 = 0. Suppose 100*h - 105*h = 5*i - 15, 2*h = -3*i + f. Solve 0 = -3*d + 3*x + 5 + 1, 0 = -i*d - x + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 2838 + 4*t + 10935 - 2830 - 5267.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -21 - -27.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19957, -39914, -59869, -79822, -99773?\n\"Answer: k**2 - 19960*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15382 divided by 1974.\nAnswer: 7691\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.7554 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + -3666?\nAnswer: -3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131.4 + -131. Which is the second biggest value? (a) x (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/4 - 5*h**3\/3 + 4*h**2 + 5*h - 2. Let v be k(-6). Let m(u) = -5*u - 11. Is m(v) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-4975)\/(-325) - 29.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*u + 2*u - 3*t, 3*u - 5 = t. Suppose 5*y = 3*k + 4*y - 122, u = -2*k - 3*y + 85. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 11290*z**4 - 1539530*z**3 - 53391830*z**2 - 102210240*z - 50346648 = 0. What is z?\nAnswer: -66, -1, 5779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**2 + 6*h**2 - 2*h**2)*(8 - 13 - 2).\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124\/9 - 14. Let r = 162 - 164. Put r, u, -0.3 in increasing order.\nAnswer: r, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*j**3 + 3*j + 0 + 3\/4*j**4 - 21\/4*j**2.\nAnswer: 3*j*(j - 1)**2*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 - 2455*c**2 - 218300*c - 215840 = 0 for c.\nAnswer: -76, -1, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3772)\/82*2\/(-20)*(4\/(-4))\/1?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 2) + -22802 + 22814.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*h + 1 + 1604*h + 11209*h - 1.\nAnswer: 13538*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7116 is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.45 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 63*m**2 + 7*m + 5. Give p(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 73 - 73)*(3*p**2 + 3*p**2 - 5*p**2) - 4*p**3 + p**3 + 0*p**3 + (4*p - 3*p + 0*p)*(3*p**2 + 18*p**2 - 5*p**2) + 3*p**3 - 4 + 4.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 2065.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*u = -645 + 690, -3*p + 3*u = 36 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - (8 + -6 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.564021016 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 51 - (-279 - -309)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23431 + 24576. Calculate the least common multiple of p and 1603.\nAnswer: 8015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(1216))**2.\nAnswer: -32*sqrt(19) + 4865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by (-8)\/240*-582 - (-4)\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 960, -14\/13 in decreasing order.\nAnswer: 960, -1, -14\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2599176 + 3.26. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 40 + 30. Solve 3*p + 2*q = -3, -q - 4*q = 2*p + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:52 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 + (-77)\/(-14). Let i(c) = -7*c + 1 + 2*c**2 + 8 - 3. Is 21 a factor of i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*c**2 + 2*c**2 + 11*c**2 + (6 - 2 - 2)*(4*c**2 + c**2 - 4*c**2) to the form x*c**2 + w*c + n and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k**(6\/7)\/k*k)*k)\/(k**2*k*k))\/(k**(2\/9))**(-17))**(43\/2) assuming k is positive.\nAnswer: k**(5203\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211880 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6844 rounded to 3 dps?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koki when four letters picked without replacement from {i: 4, k: 4, l: 1, o: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 + -163 - (-2 + -56).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1943984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 4*r + 6*r)*(2 + 1 + 0 + (-2 - 5 + 5)*(-2 - 1 + 4)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99, -340, -731, -1272, -1963?\n\"Answer: -75*y**2 - 16*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from lbbb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g - 3*g + 1 + g - 1 - g + 2 - 2 + 2*g + 0*g - g + (0 - 2 + 3)*(3*g + 2*g - 7*g) - 5*g + g + 2*g - 88*g + 28*g + 26*g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 12*z + 40. Suppose 7 = -3*s + 22. Suppose 3*r = 5*h - 678 - 72, 0 = z*h + s*r - 331. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1630*p + 1039946. Give l(638).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/473 or 34.953?\nAnswer: -24\/473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**1*x)*x**(4\/5)*x*(x**(-1))**23 assuming x is positive.\nAnswer: x**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 27*v**3 - v - 20 + 2351*v**2 - 2363*v**2 - 28*v**3 - 6*v. Determine z(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 9173 + 8865 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/13539 and -65\/9.\nAnswer: 40617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 553904.\nAnswer: 553904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1842 + 429. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -3*j. Suppose j*r = 31 + 349. Suppose c - 4*l = -c + r, -2*l = 4. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 2*f - 10*f. Let g be q(4). Let i = g - -85. What is the highest common factor of i and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -24220142?\nAnswer: 24220140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - (1 + 2 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 52*i**3 + 6*i**2 + 69*i - 5. Let j be t(-6). Round j to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*t**3 + 10694*h**2*t**2 + 13*h*t**3 + 2*h*t + 3*t**3 + 37*t**2 wrt h?\nAnswer: 24*h*t**3 + 21388*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 26.65. Let r = 1.6298 + z. What is r rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-26 + 5 - (-34 - -31)) + 4 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -4220840?\nAnswer: -4220838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -3\/7, 0, -0.4, 42178?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364.8 - -417. Let c = 42.1 + 9.9. Let u = m - c. What is the smallest value in -0.3, 1, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 3. Suppose -f = -4*t + 5. Let x = -10 + 17. Solve x*o = t*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 18688.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqq when three letters picked without replacement from {z: 1, q: 1, f: 1, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {k: 1, m: 10, d: 1, u: 5, j: 1, c: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q + 46. Let d(f) = f**2. Let j(a) = 49*a**2. Let n(v) = 42*d(v) - j(v). Give n(p(k)).\nAnswer: -28*k**2 - 1288*k - 14812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 9*r + 2. Let g(v) = v**2 + 8*v + 1. Let b(m) = -2*d(m) + 3*g(m). Determine b(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 36*p + 2592.\nAnswer: -3*(p - 36)*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 106*q + 912 = 104*q, -4 = -q for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*(0 - 3). Let a = -1 + -3. Let d = a - -4. Solve d = -4*s - 17 - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*j + 53 = 0, -675*j = -3*v - 673*j - 23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7779427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2*o**5\/5 - 2*o**3\/3 - 7*o - 4. Let s(k) be the first derivative of a(k). What is the second derivative of s(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 15. Let t be f(3). Is 8 a factor of 1*72*8\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) -0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 172ec9d + 4?\nAnswer: 172eca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26773*g**2 + 2*g + 138495 wrt g?\nAnswer: -53546*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 <= 4210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -32. Suppose -150 + 132 = -6*i. Suppose -a = -i*g + 2*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 29 - 41 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 21. Sort c, 3, -1 in decreasing order.\nAnswer: 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 9. Determine i(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 3. Let a be i(-9). Suppose -n = -5*u + 4 + a, -5*u + 10 = 3*n. List the prime factors of (u - -29)\/((-1)\/(-1)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 15. Let y(s) = -s**3 - 8*s**2 - 8*s - 4. What is the units digit of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 9 = -5*y, 4*y - 27 = -5*c - 0*y. Solve c*h + 1 = -h - j, -4*h + 24 = -4*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8*4\/2. Let n be (-26)\/(-72) - (1 + -2)\/(285 + -294). What is the closest to 2 in n, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:47 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -9, 14, 51, 102?\n\"Answer: 7*t**2 - 12*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*((6 - 1 + 8)*(-2 + 1 - 1)*(2*c - 4 + 4) + 0*c + 0*c + 8*c).\nAnswer: 44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983.\nAnswer: 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*f**2*x**2 + 75*d**3*f**2*x + 4*d**2*f**2*x**2 + 4*d**2*x + 3*f**2 wrt d?\nAnswer: -6*f**2*x**2 + 450*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/4 (b) 749.3 (c) 1 (d) 810\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8337.9807 seconds to weeks.\nAnswer: 0.01378634375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 16*f + 1. Let r(t) = 3897*t**2 + 16*t + 1. Give -q(u) + r(u).\nAnswer: 3896*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/((-21)\/(-6)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16 + 252\/12 + 154\/(-30). Sort v, -0.03, 8 in descending order.\nAnswer: 8, -0.03, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.26659mg to grams.\nAnswer: 0.02926659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032041112 (base 5) in base 2?\nAnswer: -1000011110010101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47222838 divided by -308646\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*l = l - 122, 4*l - 110 = 2*i. Let a = 97 + i. Suppose 2*p = 3*z + 150 - a, -4*z - 276 = -5*p. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - y = 66 + 14, -2*y - 202 = -5*t. Suppose 0 = -21*u + 21 - t. Do u and -10\/43 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*b + 26. Suppose 0 = -2*u + 4 - 0. Suppose -u*a + 0*a = -b. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a factor of 4975815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = 0. Which is greater: 1\/4 or m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d**2. Let o(n) = 31929*n. What is o(i(c))?\nAnswer: -574722*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 1871?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (6 + 6 + -10 + 15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*m + 3*j + 1, 9 = -2*m - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 10*n**2 + 3*n - 2. Let g be b(10). Let q be 1\/3 - g\/(-6). Suppose -2*x = 3*a - 5 - 7, -x - q = -4*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 + 4*b**3\/3 + b - 5. Suppose -5*r + 0 = a + 6, -a + 12 = -4*r. What is the lowest common multiple of a and l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8622 - 5277 = -112*y. What is the remainder when y is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -298.6 + 299. Put 6, 0.3, j, -2\/5 in decreasing order.\nAnswer: 6, j, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45817674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 < 948\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = -1. Suppose 13*n + 3*b = 14*n + 8, 2*n - b + 11 = 0. Put 2, n, a in ascending order.\nAnswer: n, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 11:50 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2801.812nm to micrometers.\nAnswer: 2.801812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 144 (b) -3.9 (c) 4\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 - 225 = -5*y. What is the remainder when 354 is divided by y?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 138*d**4 - 1 - 41*d - 2*d**2 + 4 - 136*d**4 + 8*d as w*d**2 + q + m*d**3 + g*d**4 + j*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124965 and 5760?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-1))\/(495\/(-110)*2)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 5*v - 3. Let o be p(4). Suppose -11 = 2*z - 4*j + o, 2*j = 4*z. Suppose 0 = -z*t + 19 - 7. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*c + 441*c - 179*c.\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 187*g + 1\/6*g**4 + 0 + 0*g**2 + 0*g**3. Let q(d) = 17*d**2 + 15*d. Calculate q(i(y)).\nAnswer: 68*y**4 + 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -90 (b) 0.5 (c) 5\/2 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 448?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39064 and -7?\nAnswer: -273448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 28. Factor -13*v**3 - 22*v**3 + 7*v**2 + 3*v**p + 5*v + 20*v**4.\nAnswer: 5*v*(v - 1)**2*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*g - 23, -4*l + 3*l - 1 = -g. Suppose -y - l = -5*y. What is the units digit of (y + 221 - -4)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-252)*1\/(-4)*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 e, and 1 m when four letters picked without replacement from {l: 4, e: 2, s: 1, t: 1, m: 2, u: 4}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 96 - 348 = 0. Let m = 375 + a. Suppose -2*o + m + 182 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 2128168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 9*n**2 + 5*n - 19. Let p be r(-8). Suppose 0 = -c - 2, 0 = 5*j - p*c + 6*c - 248. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6) + 1)\/((-5)\/(-6)). Suppose 4*x + 22 = 6, 0 = 4*s - 2*x - 52. Factor 11*n**4 - t*n**3 + s*n**4 - n**2 - 23*n**4.\nAnswer: -n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7*6\/(-126))\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0. Let m = 3.7 + t. Let k = 39 + -37. Which is the nearest to 1? (a) m (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a factor of 135238176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14878548?\nAnswer: 2, 3, 413293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 664\/(-4980)*((-2)\/(-2))\/(4\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9*i + 34096. Let s = i - 332396\/39. Find the common denominator of s and -25\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000000010111000000101 (base 2) to base 4.\nAnswer: -200002320011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 23*f + 14. Let r(y) = -25*y - 15. Let s(a) = -14*r(a) - 15*t(a). Let v(j) = -1084*j. Determine v(s(k)).\nAnswer: -5420*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -360 + 13. Let m = l - -3819\/11. What is the biggest value in m, -4, 2\/3, -15\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*k - 5*v, -5*v + 1 + 19 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1320\/4032 + 1 + 9\/(-7). Let w(f) be the third derivative of -g*f**4 + 1\/6*f**3 - 3*f**2 + 0 + 0*f. Find the first derivative of w(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.17077704 rounded to 2 dps?\nAnswer: -26.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*u - 171*u - 171*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5207 + 587*b**2 + 1755 + 236*b - 585*b**2 = 0. What is b?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v + 11. Suppose 7*o - p + 4 = 6*o, 5*p - 4 = 3*o. Let x(w) be the first derivative of 7*w**2\/2 + 7*w - 1. Give o*x(y) + 5*u(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:07 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2. Let l(b) = 23*b**2 + 17*b**2 - 44*b**2. Calculate t(l(c)).\nAnswer: 112*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 14, d: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7463, 29320, 65571, 116216, 181255, 260688, 354515?\n\"Answer: 7197*k**2 + 266*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 4*b + 1)*(-6*b + b - b)*(5*b + 2*b - 3*b + (-2*b - 2*b + 2*b)*(-1 + 6 - 2)).\nAnswer: 24*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-380))\/(8\/(-10))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3583 - 3563 = 2*y. Let f(q) = 7*q + 4. What is the remainder when f(6) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s = 240. Let x be (4\/s)\/((-2)\/4). Which is the nearest to 2\/5? (a) -1 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0*b + 5. Let h be (30\/(-4))\/(b\/(-2)). Calculate the remainder when 10 is divided by (-18)\/h*(-2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8\/5, -2, 0, -0.5, -1\/4, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - r = -34, -4*q = 2*r - 3*r - 74. Let k be 0 + 5\/(5\/2). Suppose f = k*f - 2. Calculate the highest common factor of q and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1120 and 17\/52160.\nAnswer: 365120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 405321087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:53 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 17846.\nAnswer: 2302134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145720 divided by 20?\nAnswer: 7286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 599 and 1.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/51 - ((-46907)\/60 - -1). Let m = 782 - q. Find the common denominator of m and (93\/(-7))\/(20\/14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - q + 7*q)*(-3*q + 6*q - 2*q)*(q**2 + 8 - 5 + 4) as b + s*q**3 + f*q**4 + g*q**2 + v*q and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*k + 24, 3*k + 12 = 6*k. Solve 0 = -h*z - 5*g - 5, z - 24 = 4*g + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -482 + 688. What is the common denominator of (304\/(-42))\/(6\/(-7)) and (-8)\/20 + u\/(-60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - 4*t**2)*(0*t**2 + 6*t**2 - 4*t**2) + (0*t - 3*t + 2*t)*(6*t**3 - 2*t**3 - 5*t**3).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 308609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1265 and 1415420.\nAnswer: 15569620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6*(-184)\/(-69))\/(-4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b**2. Let x(s) = 1742661*s + 1. Calculate x(o(n)).\nAnswer: 19169271*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -4*b**4\/3 + b**3\/6 + 79*b**2 + 2*b + 48. Let w(p) be the first derivative of k(p). Let r(d) = -d**2. Give w(r(c)).\nAnswer: 32*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - (-2514)\/15. Suppose 0 = -b + 4*q + 54, -2*b - 2*q - 132 = -5*b. Calculate the highest common divisor of d and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*k**(-2\/11))*k)\/k)**(1\/8) assuming k is positive.\nAnswer: k**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 41) + (-14 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -10. Let w(v) be the first derivative of -v**6\/360 + v**5\/120 - v**4\/24 - 2*v**3\/3 + 15. Let j(t) be the third derivative of w(t). Determine j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10417320 divided by -4569.\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 15*s + 38. Give d(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -15*w + 3 + 0*w**3 + 8\/5*w**5 + 0*w**2 + 0*w**4. Find the first derivative of m(y) wrt y.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.85508g in nanograms?\nAnswer: 15855080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80099 - -6629. Let j = u - -272470. Round j to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18180*w + 18176*w - 50 = 36381*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -168063.9 times 6\nAnswer: -1008383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2416932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 580\/3 <= 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (14 - (9 - -36)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-3040)\/(-2235) - -2). Let p = -4\/149 + o. Let n = 0.6 + 2.4. Are n and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + d + 19, -5*i + 48 + 46 = -4*d. Suppose 1 + 8 = 5*j + 2*z, 4*z + i = 2*j. Solve -20 = -5*m + y + 4*y, 0 = j*m + 3*y + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 - 926350*h\/11 + 15748528\/11.\nAnswer: -2*(h - 17)*(h + 463192)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623, -4938, -16647, -39446, -77031, -133098, -211343, -315462?\nAnswer: -449151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4706 - 4678. What is the remainder when 334 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-3*(-14)\/36.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.358 - 9.358. Which is the nearest to 59\/2? (a) g (b) 0.2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -2*s + 331. Suppose 268 + s = 7*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*(10\/4 + -8 + 6). What is the biggest value in 8.1, 5, d?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*x + 0*x + x**3 - 127*x.\nAnswer: x**3 - 175*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (32\/5)\/(-14*(-1)\/70)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -6*b. Suppose 1936 = x - b*k + k, 4*x - 3*k = 7765. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133200 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-519)\/96)\/173)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(170) + sqrt(170)*-1*-4))\/(sqrt(50)\/(sqrt(35)\/(sqrt(42)\/sqrt(6)))).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, 2\/447, -2, 12, 4, 171.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, -2, 3447?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w + 3. Suppose 4*i + 36 = -3*f, 4*i - 2*f + 44 - 8 = 0. Let a be g(i). Suppose -a*t + 147 = -0*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 32. Let t be k(0). Let c = -23 - t. Solve -2*p - 3 + c = -2*a, a = 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 7*l + 9. Let i be j(7). Let x(u) = u**3 + 15*u**2 + 12. Let n be x(-15). Let p = n + -3. What is the highest common factor of p and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1899?\nAnswer: -5\/1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59616707 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: Collect the terms in 10*m**2 - 32*m**2 + 15*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 28730 = 50*c. Calculate the remainder when c is divided by 108.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from yyykkkkyyy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Factor 3 - 1250*z**3 + 450*z**2 - 70*z + 1352*z**4 + 1 + 121*z**a - 223*z**4.\nAnswer: 2*(5*z - 2)*(5*z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8053331 = 110*h + 38*h - 31537527. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + m + 2 = -8, -4*o - 29 = 5*m. What is the third biggest value in 2, -0.02, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-525)\/165 - (-2)\/11. Let x(l) be the first derivative of -2*l**2 + 2*l - 1. What is the tens digit of x(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/20 - 6\/(-15). Let r be (-39)\/(-9) + p\/(-9). Let m = 3 + -3. Solve r*c = -m*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73511*v**2 + 73505*v**2 + 5624 - 147017*v**2 to the form p + d*v**2 + b*v and give p.\nAnswer: 5624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302454?\nAnswer: 2, 3, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 37, 105, 227, 421, 705, 1097, 1615?\n\"Answer: 3*y**3 + 11*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29652 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14007841 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 + 5*f**2 + 52*f + 267. Let h(y) = -y**3 + y**2 + 10*y. Determine -5*h(k) + m(k).\nAnswer: 2*k**3 + 2*k + 267","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(1028 - 1028 + 318*i)*(2 - 4 + 1)*(-3 - 3 + 4).\nAnswer: -1272*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-196)\/322)\/(-14))\/((-3)\/(-6)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 50 = 0. Suppose 4*y = -j*y. Let t = 44 - 38. Solve m - 4*m = v - t, y = 4*v + m - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.79 + 0.77892. What is p rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 738, 1492, 2246, 3000?\n\"Answer: 754*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 9. Let m be o(-7). Suppose 4*y - 3*v - 91 = 0, -m*y + 6*y - 93 = 5*v. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 8 (b) -3 (c) -2\/5 (d) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -4*i + 2*j + 57, 935*i - 952*i - 4*j + 183 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzazzzazzaa. What is prob of sequence zzaa?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12 + 13\/4. Let j(g) = g**3 - g**2 - 5*g + 4. List the prime factors of j(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-2 - (-16)\/4). Suppose 0 = -s*t - 7 - 9. Is t less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -67, -2, 87, 200, 337, 498?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 265?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzy when three letters picked without replacement from ywwwzwmmy?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**5 + 1575882*g**3 - 389093*g**2 wrt g.\nAnswer: 180*g**2 + 9455292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 28*b**2 + 113*b + 1908. List the prime factors of a(-17).\nAnswer: 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5 - 13. Calculate the remainder when 38 is divided by (t - 10)\/((-5)\/55).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/5 - 49176*k**3\/5 - 196752*k**2\/5 - 196768*k\/5.\nAnswer: 4*k*(k - 12298)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*d + 16. Calculate the common denominator of ((-3)\/((-24)\/(-158)))\/d and (12\/16)\/((-429)\/(-2158)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839039?\nAnswer: 59, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2044\/(-126) - -16) + (-4)\/(-9). Let r(z) be the first derivative of 4\/3*z + 5 + 1\/3*z**2 - c*z**3. What is p in r(p) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7647115?\nAnswer: 5, 7, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - ((-174)\/2)\/3. Suppose 5*c - 3*r + 58 = 0, c + c - 4*r = -n. Calculate the common denominator of 13 + c + (-69)\/10 and 67\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*b + 227*b - 538*b + 80*b + 80*b + 68*b + 10*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 21. Solve 0 = -y - t*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*p**3 + 29*p**3 + 2*p**2 + 5*p - 34*p**3 - 4*p**2 - 4*p**2 to the form a*p**2 + q + j*p + l*p**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 211 + 229*r**2 - 211 + (r - r + r - 2)*(-7*r + 5*r + 2 + 0).\nAnswer: 227*r**2 + 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/12 - k**3\/6 - k**2\/2 + 18*k. Let d be s(-1). What is the tens digit of (-4)\/(d*4\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 10 - 34 = 5*c + 51, -13*c - 2*c - 5 = -2*j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 8. Suppose 348 - 1063 = -g*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 1 - 2 + 5 + (-2 + 2 - w)*(-3 + 1 + 1) + 2*w + 3*w - 4*w + 2 - 2 - 3*w + (-1 + 3 - 4)*(-3*w - 2 + 2).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48524 divided by -12131?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1360.07 - 16.07. Let i = m - 1346.237. Let w = i + 2.4. What is w rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 63 = -5*k, -q - 3*k - 98289 = -98259 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.5 + -15.8. What is the third biggest value in 1\/4, 5, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 - 7*v**2. Let y be d(-2). Solve u = -y*j - 4*u + 22, 5*j - 3*u = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 7*r - 3. Let f be h(-10). Calculate the smallest common multiple of 20 and 2\/9 + 264\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.16 (b) -11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 29 = 4*k, -4*s - 3*k + 12 = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -26*x + 4. Let j be p(-1). Let u(h) = 0 + 36*h**2 - j*h**2 + 0. Let o(t) = 2*t. Calculate u(o(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/12 - 8892*g**2. Let y(s) be the first derivative of 7*s**3 + 1. Give u(y(b)).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 37*a**2 - 25*a - 904. What is p(38)?\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (44\/(-2))\/(6\/3 + -4). Calculate the remainder when 7 is divided by (i - 1)*(21\/(-35) - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1692 in 0.1, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38256, 2\/3, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q + 161 - 7 = -214 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 9*q - 1820. Let m = -117 + q. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -226287, -452577, -678867?\nAnswer: -905157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247 (base 12) to base 11.\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r + 44*r = 4653. Let q = r - -1856. What are the prime factors of q?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -13. Suppose 2 = -2*b, 2*b - b = -5*w + q. Suppose w*f - 7 = 3*f. Solve -5*g + 8 = -f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 43) + 15 + 0 + -1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*(-30)\/(-20). Let u be s\/(-2)*74*-3. Let y = u - 62. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 314*l**2 + 1828*l + 15. Let t be s(-6). Calculate the highest common factor of t and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -642*k - 639*k + 1312*k to the form y + b*k and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11 + 39*b + b**2 + 3*b**2 - 34*b - 7*b**3 - 5*b**2. Let c be r(-7). Round c to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 76 = -4*x, -3*x - 34 = -t - 0*x. Let h(r) = -r - 10. Let p be h(-14). Suppose -110 = -6*l - p*l. Solve -l = 2*z - 3*a, 4*z + 2*a + 2*a = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15868 + 1098. Let q = -8455 + k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:10 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/6 + (-3)\/(-9). Let r be 4\/a*(1 - 147). Suppose r = 4*n - 0*n. Round n to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72594 - 40440. Does 99 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from hhffdfffddhfdhffahwd?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 + 5 = 0. What is the greatest common factor of i and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 71*o**2 - 38*o - 134. What is i(-24)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.5. Which is the second smallest value? (a) -2\/7 (b) i (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96934 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4804 (base 16) to base 2.\nAnswer: 100100000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17479 - -18271. What is the nearest to a in -5, 2, -3\/4, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4*f**2 - f + 6. Let y be w(4). Let o(q) = 105*q**3 - 3*q**2 + 3*q - 5. Is o(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-140)\/28)\/(-1 - (-3)\/2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 7*z - 7. Let v be b(-6). Let p = 24 + v. Suppose 4*m + 42 = -4*g + 222, -4*g + 166 = -3*m. Calculate the remainder when g is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (-6 - -25) - 19\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40058*d*v**3 - 9124*d - v**5 - 3895*v**3 + 2*v**2 - 489 wrt v.\nAnswer: -240348*d - 60*v**2 - 23370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1530380 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2193*v**4 - 742*v + 1 wrt v.\nAnswer: 26316*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ili when three letters picked without replacement from {l: 8, z: 1, i: 3, b: 1, e: 2, k: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, and 2 z when four letters picked without replacement from htthtzhzztzhhhhhhzh.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -59*a + 1411. Let y be j(24). Let z(m) = -13*m + 3. Let r(o) = 3*o - 1. Let p(c) = 9*r(c) + 2*z(c). Let v(s) = -s + 7. What is y*p(q) - 2*v(q)?\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -271*n - 256. Let o be a(-4). Let l = 835 - o. Solve u = l*u - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25290*u - 4602.\nAnswer: 25290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 10) to base 13.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729 - 117\/2*b**2 - 567\/4*b - 15\/4*b**3.\nAnswer: -3*(b + 9)**2*(5*b - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96446 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 12:35 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (8 - -1 - (-32)\/(-8)). Let z(d) = 6*d**3 + d**2 - 1. Let r be ((-1)\/((-2)\/2))\/1. Let b be z(r). Solve -t*c - b = 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.96937 months in millennia?\nAnswer: 0.0119974475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04595247 to three decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-30) + 3 + (-21)\/(-35)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 38*g - 16*g + 2 - 3 - 32*g + 5*g**2 as s*g**2 + l + y*g and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 2, e: 2}. What is prob of picking 1 b and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 43. Suppose -4*h + 9*h - 220 = l. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -175002*p + 8. Let b be ((-2 - 1) + -1)\/(-1). Let h be s(b). Round h to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-15))\/(-8)*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0406 + 0.3406. Let w = 8.1 + -11.1. Sort -4, l, w, 11.\nAnswer: -4, w, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 10*y - 44. Suppose -y*q + 177 = -67. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let c(j) be the third derivative of -j**4\/24 - 329*j**3\/6 + 762*j**2. Give v(c(z)).\nAnswer: -z**2 - 658*z - 108241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 26*j + 192 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqtqqvkqtktttc. What is prob of picking 1 q, 1 c, and 2 k?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 8*t**2 - 8*t - 5. Let m(k) = -2*k - 3. Let q be m(7). Let r = 24 + q. What is the smallest common multiple of r and z(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 107 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31366774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 5*q**2)*(7*q + 11 - 11 + 2*q - 3*q + 0*q + (1 - 1 - 2)*(-3 - q + 3)).\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 14. Suppose -g = -4 - d. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/476 and -75\/56?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*d + 4 = 0, d + 0 - 4 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - (-40 - -38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 0*l + 4*l + 7*l - 5*l - 26.\nAnswer: 3*l - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0 - 0) + 3. Suppose 0 = -4*l - 2*h + 14, 2*l = 5*l - 3*h - 6. Suppose -4*k = -l*k - w. Which is smaller: 2\/5 or k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -26, -52, -98, -170, -274?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/7)\/((-6)\/(-63)). Let m be (5 - 3)*k\/4. Calculate the greatest common factor of 99 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:29 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1\/6, -1\/3, -1\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:50 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-15)*c*c*c**(-2\/9)*c*c*(c\/c**(2\/11))\/(c**(-6)\/c) assuming c is positive.\nAnswer: c**(-337\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -159573 at least -159574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7.8, -2\/19, 1 in decreasing order.\nAnswer: 7.8, 1, -2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.886 and -0.637?\nAnswer: 1.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100111111 (base 2) to base 16.\nAnswer: 93f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 6. Let j(r) = r**2 + 5*r + 3. Let f be j(a). Let y(v) = v**3 - 3*v**2 - 3. Calculate y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3547\/529784 - 268\/1409. What is the common denominator of -19\/6 and p?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let p(h) = 4*h**2 - 9. Let t(l) = l**2 - l - 1. Let o(i) = p(i) - 3*t(i). What are the prime factors of o(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3693 and -1.7?\nAnswer: 6278.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzecjhccaz. What is prob of sequence zch?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1671 and 256533591.\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10896 and 1135.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3346*s + 3367. Give w(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-36) + 6\/(-8). Which is the nearest to -0.2? (a) f (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d + 13. Let t(s) = s + 4. Let y be ((-816)\/(-255))\/((-4)\/(-5)). Determine y*b(f) - 14*t(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 2*j**2 + 8*j + 3. Let y be p(-4). Suppose -y*r = -10 + 7. Let s be 2602\/(-2) + 0\/1 + r. What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 614121 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 2*s - 6*s - 2*s - 2467*s**3 + 2466*s**3. Let i(l) = -4*l**3 - 60*l. Calculate -2*i(a) + 9*v(a).\nAnswer: -a**3 - 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000564452 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s - 4. Let y be 11 + 2 + 1 + -7. Calculate the remainder when (2 - 48\/(-21))*y is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382895 + 382959 = 16*k. Let a = 18 + -88\/5. Put -2, -0.4, a, k in increasing order.\nAnswer: -2, -0.4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4516.21 and 0.\nAnswer: 4516.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31134 - -31133.50052. Let m = h - -0.5. What is m rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 5*k**2 + 0 + 0*k + 0*k**5 + 0*k**4 - 101\/120*k**6 + 29\/3*k**3. What is the first derivative of n(m) wrt m?\nAnswer: -303*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20425, -40843, -61249, -81637, -102001, -122335?\n\"Answer: g**3 - 20425*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11935 = 12926*v - 12709*v for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 3*c**3 - 3*c**3)*(3*c - 3*c - 3*c**2 + (c + 3 - 3)*(c - 2*c + 3*c) + 2*c**2 + 0 + 0) - c**5 + 5*c**5 + 7*c**5.\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 5*h**8\/112 + 3*h**5\/10 - 16*h**2. Find the third derivative of a(j) wrt j.\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -155*u**2 - 45*u + 45. Let r(l) = 7*l**2 + 2*l - 2. Let o(i) = -2*h(i) - 45*r(i). Let q(d) = -6*d**2. Determine o(q(j)).\nAnswer: -180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**6 + p**3 + 2796*p**2?\nAnswer: -1080*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 6*z + 2*z. Let g(x) = 2*x. What is g(i(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7441597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 2, p: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24840 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2)\/(-4))*323\/(64277\/(-11542))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44914692 divided by 7485782?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 4 - ((-2 - 2) + 3) - -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3*p*p\/(p*p**(-3)*p)*p)**(-29)*p**(-1\/2)*p\/(p*p**1)*(p**(1\/3))**(-17\/4) assuming p is positive.\nAnswer: p**(-2819\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 18*p**2 + 30*p - 1204. Give a(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -229 + -21?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 - 1268*n - 119542. Give o(282).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3*k + 40*k - 1175675 = 0. Is k a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.52952 litres in millilitres?\nAnswer: 70529.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 2, b: 1, n: 4, m: 2, p: 4}. What is prob of picking 1 u, 2 z, and 1 m?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:36 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*((v*v\/(v\/v**3))\/v)\/v*v*v*v**(-1)*(v\/(v\/(v*v**4)))\/v**(-2\/5))\/((v\/(v**7\/v)*v**3\/v)\/((v\/v**(-1))\/v)**4) assuming v is positive.\nAnswer: v**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -39?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*g = 17 - 8, -h = g. Suppose 0*t = -t + 2*t. Suppose -2*j - h*o + 3268 = -o, -4*o - 12 = t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3334*y + 3323*y - 6663*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -64. Solve 0*b + 3*d - 21 = 5*b, -7 = -b - q*d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*p + 1221, 2*v = -2*v + 5*p - 2453. Let f be v\/(-22) + (-14)\/(-77). What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5789 divide 1655989762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 155, 301, 447?\n\"Answer: 146*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4673, -9345, -14021, -18701, -23385, -28073?\n\"Answer: -2*y**2 - 4666*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/3 - -8. Let k = i + -19\/6. Is -3 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 5)*(-4*f**2 + f**2 + 2*f**2) - f**2 + f - f - 2*f**2 - f + f)*(0*f**2 - 5*f**2 + 3*f**2).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - u - 28 + 9, u = 4*z - 70. Let k(t) = -3*t + 11. Let v be k(3). Solve v*n + 3*l - z = 0, l - 14 = n - 2*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r + 27*r = 546. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 62 = -5*b. Calculate the least common multiple of b and 3*-6*(-7)\/63.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 19269.\nAnswer: 77076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2. Let u(j) = -j**2 + 16*j - 48. Let f be u(11). Let o(q) = -5*q + 14*q - f*q. Give m(o(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 4 (c) -3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -23*n**4\/24 - n**3\/2 + 2*n**2. Is u(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r**2 - 640*r - 1685. What is d(-43)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32360*s**3 + 4 - 2 + 120033*s**3.\nAnswer: 152393*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:46 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*w + 21, -13 = -v + 5*w + 5. Suppose z + 3*z + 75 = 5*t, t - v*z = 15. Suppose -3*h + 37 = 4*y, -3*y = -0*h - 2*h - t. Solve -4*c + y = 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 7) in base 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w - w)*(-12*w**2 + 0*w**2 - 4*w**2).\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -70, 21, 1581, 4, 0, -2 in decreasing order.\nAnswer: 1581, 21, 4, 0, -2, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.64 and 18608817?\nAnswer: 11909642.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17871\/230)\/(-37))\/(4\/10*(-55)\/(-44)).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -2404?\nAnswer: -35\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.7? (a) 1311 (b) 2\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 + 6*f - 3. Let a be g(5). Suppose 0 = 3*p - 5*y - 15, 5*p - 10 - a = 4*y. Solve p = 4*v - 14 - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21293806 plus 0.3015?\nAnswer: 21293806.3015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 = 1. Let r be (-1 - 22\/(-10))*-5. Does 4 divide d\/r*(7 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197200 and 29178640.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237338.\nAnswer: 2, 118669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3152 + 3176. What is the second biggest value in -1\/3, 3\/2, -4, y?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 39*b + 31. Let c(m) = 3*m**2 + 39*m + 31. Let o(q) = -3*c(q) + 2*k(q). What is the derivative of o(a) wrt a?\nAnswer: -2*a - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*t - 22 + 4 = 0, -b + 3*t + 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6 = -5*p + 2*g, 0 = 2*p - 2*g + 6. Let b be -10 + (-2198)\/(-91) + 4\/(-26). Solve 5*o = -0*l + l + b, -4*l - 2*o - 12 = p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 12. Let c be u(0). Let t(o) = -o**2 - 14*o - 19. Let k(f) = -3*f**2 - 42*f - 56. Let d(y) = 4*k(y) - 11*t(y). What is the units digit of d(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7121 and 2?\nAnswer: 14242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 108*t + 213. What is the remainder when 2442 is divided by f(-23)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106.9 + 113. Let i = -4.1 + a. Let f be 4 - 0 - (-148)\/(-36). What is the third smallest value in 1\/3, f, i, 15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808455, 1616961, 2425467?\nAnswer: 3233973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*z + 41*z + 15 + 56.\nAnswer: 353*z + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 40.86908cm?\nAnswer: 0.0004086908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 2.626227?\nAnswer: -1.0504908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(75)*1 + sqrt(75)) + ((sqrt(13) - sqrt(52))*-4 - (-2 + sqrt(26)\/sqrt(2)))**2.\nAnswer: 121*sqrt(13)\/10 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*5*-2*((sqrt(475) + (sqrt(475) - (1*sqrt(475) - sqrt(475))))**2*-1 - sqrt(475)) + -2.\nAnswer: -19001 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeaoeaooaeoaolah. Give prob of picking 2 a.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 - 2*y + 1. Let j be f(1). Let l = 19 - 12. Let k(a) = l*a - 2*a + 0*a + 0*a. Determine k(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*g + 5*n, 5*g - 3335 = -3*n - 3319 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 243, 386, 567, 798, 1091, 1458?\nAnswer: 1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 332592743.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15792 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121123 + 23020030?\nAnswer: 23201213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15672 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/8 of a week?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:46 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1438218.18 to the nearest 10000.\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107.7 - -109. Let r = 5.7 + -5. Let i = d + r. Which is greater: 7 or i?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6290, 22, -35, -4 in descending order.\nAnswer: 22, -4, -35, -6290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926543353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Let m(q) = 1 - q + 3 - 82*q**2 + 84*q**2 + q**3. Let l be m(i). Solve -4 = 3*g - l*k, -3*k + 10 = -2*g - 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -19*r + 4. Let g(u) = -u - 2. Give g(o(p)).\nAnswer: 19*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(228) + sqrt(228)*-1)\/sqrt(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 3*i - 1269*i**2 - 577 - 3*i + 576 in the form m*i + n*i**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 694*g**2 - 341*g**2 + 4*g - 7 - 354*g**2. Determine v(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172.7 - -17.7. Let m = -207 - d. Sort -0.5, m, -0.4.\nAnswer: m, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 5:29 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 218751120 divided by -630\nAnswer: -347224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 319974 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 9 = -47*u. Suppose 2*l + 7*d - 12 = 9*d, -4*l + 12 = 2*d. Solve -4*t + l = 2*z, -2*z = -0*t - t - u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 1, x: 6, n: 1, m: 1, c: 1}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:36 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Suppose -4*y - 39 + 11 = 0. Let d(m) = -m**3 - 8*m**2 - 3*m + 6. Let f be d(y). Let r(c) = -12*c + 1. Calculate f*s(u) + 2*r(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**7\/14 - 3*d**6\/5 - 18*d**5\/5 - 13*d**4\/2 - 9*d**3\/2 + d + 76. Suppose x(f) = 0. Calculate f.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -171, 104 in decreasing order.\nAnswer: 104, -1, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, n: 1, x: 1, b: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*y**6 - 105*y**4 - 3*y**3 - 2987*y**2?\nAnswer: 3600*y**3 - 2520*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 15. Let f = 17 + t. Let y = 18 - f. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.298 millennia to years.\nAnswer: 136298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, -1, 13, -225, 4, 0 in ascending order.\nAnswer: -225, -10, -1, 0, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 333 + -340. Let h be o + 1 + 123\/1. Calculate the highest common factor of h and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 2 - (-4 + 0). Suppose d - 3*x - 3 = 2, -a*d + 9 = -5*x. Suppose -d = g - 12. Solve -4*l = -g + 26 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) 2 (b) -2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6642 and 67322?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 14, 0.2, 3\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**2 - 1 + 11 + v**3 + 11 + 0 + 6*v. List the prime factors of k(9).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -20. Suppose 2*t - 3*t - 5*o = 15, t - o - 3 = w. Determine j, given that t - 1\/3*j - 1\/3*j**3 - 2\/3*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1122 and 2790.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 627348428 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, a: 7}. Give prob of picking 2 d and 2 a.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/12 and 17\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*f - 1531 - 283, -f + 4535 = 5*i. What are the prime factors of -1*(-18 + i)\/(1*-1)?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011010 (base 2) to base 9\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2 - (-23955)\/17622. Let y be (-256)\/(-267) - (3 - 2). Let q = y + h. What is the common denominator of q and -7\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/66 - (-3682868)\/63448\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.7 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 19*p**2 - 2. Let g(d) = -d**3 + 30*d**2 - 3. Determine 5*g(x) - 7*r(x).\nAnswer: 2*x**3 + 17*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 45*l**3 - 9*l**2 + 5*l. Let m(z) = -22*z**3 + 4*z**2 - 3*z. Let s = 39 + -36. Let u(v) = s*o(v) + 5*m(v). What is the third derivative of u(b) wrt b?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142103232 (base 6) in base 9?\nAnswer: 5411612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3) + 1*2. Let z(c) = c**2 - 10. Let y be z(u). Is 1\/(-2) + (-2235)\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*l - 54, -4 = -5*l - 2*y + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z**(-2\/3)*z**2*z\/z**(1\/6)*z assuming z is positive.\nAnswer: z**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 91\/5, -11.\nAnswer: -11, 4, 91\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 7*p - 6. Let n be o(-4). Suppose 7 - n = -a. What is the nearest to 1 in a, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 - 221. What are the prime factors of (-5916)\/(-8)*6\/t?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 48 - 2*n in the form s*n + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 0, -3*b + 2*w = -160 - 114. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4))\/(8\/(-416)). Let a = 35 + 3. Suppose -a = -2*l - 4*u, -2*u + 22 = l + u. Is l smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -112201*v + 234933?\nAnswer: -112201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/5*5\/(-2). Suppose y - 4*s = 17, -3*y + 5*s - 9 = -32. What is the smallest common multiple of u\/3 + (-51)\/(-9) and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by -119962.\nAnswer: 157\/119962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 3*n**2 - n**2 + (0*n**2 + 2*n**2 - 4*n**2)*(0 - 1 + 2).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 0, 4*j - 3*w = 8*j - 1404. What is the greatest common divisor of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t**2 - 30054*t + 214380 with respect to t.\nAnswer: -10*t - 30054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -25*a**3 - 174*a**2 + 9*a - 6. Determine x(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)*h)**(1\/15)\/(h\/(h**(-2\/7)\/h)*(h*h\/((h\/h**(-30))\/h))\/h) assuming h is positive.\nAnswer: h**(2251\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266051619 + 266051285.000402. Let u = x + 334. What is u rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 343075128, 343075125, 343075122?\n\"Answer: -3*a + 343075131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/2 - (-6)\/3. Let p be (-14)\/r - (-3)\/(-9). Let u = p + 3. Solve -2*i - 13 = 4*g + u, -i - 13 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -0*q + q - 4*t, -2*t + 18 = 2*q. Suppose 5*r + 4*z = 30, 4*r - 5*z + 5 + 12 = 0. What is the units digit of (-34)\/(-10) - r\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -1a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -40. Let d be ((-17)\/(-2))\/((-6)\/12). Let y = d + k. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9338)\/(-87)*6\/4. What is the third derivative of 161*r**5 - 36*r**6 - f*r**5 + 1 + 12*r**2 - 2 wrt r?\nAnswer: -4320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -304*y - 83. Calculate the remainder when f(-3) is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from addddddadadthd.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -m + 68, a - 37 = 23*m - 22*m. Solve a - 23 = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 65*j**2\/3 + 245*j\/3 - 20 = 0?\nAnswer: -4, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvccnncncccv. What is prob of sequence vcc?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 199348506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 + (-4 + 7)*-1 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + 2 - (sqrt(7) + -2)*3.\nAnswer: -2*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, -1\/28, 58?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:23 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9066.468 micrometers to centimeters.\nAnswer: 0.9066468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 1. Let y(q) = 51*q + 3. What is 5*r(v) - y(v)?\nAnswer: -46*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 19. Let v = 37 + l. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -56, 650, 4 in decreasing order.\nAnswer: 650, 4, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -22, -39, -58, -79, -102?\n\"Answer: -a**2 - 12*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1737499511 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6705, -27711, -62705, -111675, -174609?\nAnswer: -251495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/31000*10*(-20)\/2*(-4)\/10?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 465\/(-6) + (-37)\/2 + 80 + -61?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 9*k**2\/2 - 5*k - 18. What is s(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.085 - -8.885. Let h = 14.2 - 20. Let x = r + h. Which is the closest to x? (a) -3 (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2706*d**4 + 71*d**3 + 198*d**2 + d + 28.\nAnswer: 64944*d + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:06 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/20 + t**3\/6 + t**2. Give z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 j when four letters picked without replacement from {x: 2, b: 5, n: 2, j: 7, a: 2}?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + k**3 + k**3 + (-k**3 + 2 - 2)*(-3 + 3 + 2) - 992 + 992 - 55*k**3.\nAnswer: -55*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 3:05 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/5 (b) 4 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 133.5*72\nAnswer: 9612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -19*s - 13. Let v(a) = -21*a - 13. Calculate 4*h(w) - 3*v(w).\nAnswer: -13*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let k(h) = -40965*h. What is l(k(g))?\nAnswer: 40965*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -157bd - 76?\nAnswer: -15833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1881, -3772, -5681, -7614, -9577?\nAnswer: -11576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-36) + (-1 - (-6)\/8). Let c be (2 - -1) + -1 - -13. Suppose 0*d - 12 = -4*u - d, c = 5*u + 3*d. Solve 0 = 4*s + u*o - 10 - 9, i = -3*o + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/10)\/(198\/(-30) + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.54782 nanograms in tonnes?\nAnswer: 0.00000000000009254782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 121 + (-120 - 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.127508l in millilitres?\nAnswer: 8127.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 t, and 1 p when four letters picked without replacement from {p: 1, y: 3, t: 4, q: 5, f: 3, h: 1}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 - 5*l + 2. Let g(r) = -2*r**2 - 2*r + 1. Let x(f) = d(f) - 3*g(f). What is x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(363) - -4*(2 + sqrt(363))) + 0)*1)**2.\nAnswer: 3520*sqrt(3) + 36556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/3))**(-1\/38)\/((z**42*z*z)\/z**4) assuming z is positive.\nAnswer: z**(-2284\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*o - 7. Suppose 3*w = 3*r + 249, 2*r - 4674*w + 201 = -4677*w. Put o, r, 5 in increasing order.\nAnswer: r, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170358 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -45 + (1 - 0 - (-4)\/(-2)). Let n = 48 + q. Let s be ((-20)\/15)\/(n\/(-3)). Solve -s*v + v + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h - 234. Let a be z(-39). Solve a = -s - 0*y - 2*y + 3, 2*s - 4*y = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - 263. Let r = 373.3 + w. Let c = -20 + r. What is the third biggest value in 2\/11, 1\/4, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/90419?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60695 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/9, 5.5, -2\/683, 4\/5, -5?\nAnswer: -2\/683","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a1c28 + 7?\nAnswer: 1a1c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448 = -93*m - 550 + 1241 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(119) - (-2*sqrt(119) - sqrt(119)) - sqrt(119)) + 1*sqrt(119)*-2)\/((sqrt(84) - (sqrt(84) + 1*sqrt(84)))\/sqrt(12) - 5*sqrt(28)).\nAnswer: -4 + 5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 11*y**2 - 12*y - 8. Let l = 148 - 161. Is w(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i - 52*i + 42 = 0. Let p be 2\/6*((-1 - i) + 7). Which is the second smallest value? (a) -1\/7 (b) p (c) 40\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73800454 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 15*v + 4 = 0. What is the units digit of (2 - -41*2)*(-1)\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = 2*o. Let y = -11\/35 - -5\/7. Which is bigger: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 274231551 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1543*y**3 + 2617*y**3 - 2*y**5 + 736*y**4 - 1808*y**3.\nAnswer: -2*y**3*(y - 367)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s - 185 + 185 to the form o + c*s and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1168975 and 27071?\nAnswer: 12858725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 14*a**2 + 43*a - 59. What is v(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -38. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.026 - 0.026. Which is the nearest to -4? (a) -3\/2 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 24 = -4*k, 20 = -5*k + j - 6*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + v**2 + 39*v + 46*v - 15.\nAnswer: 5*v**2 + 85*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 2112.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**3 - 3*x**2 - 2*x. Let p be r(-1). Let s = 596 + 776. Suppose -p*v + 8928 = s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/24 + 2*a**3\/3 - a**2. Let f be i(4). Suppose 5*c - 55 = -f*c + 5*v, -32 = -4*c + v. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 310521 and 36.\nAnswer: 11178756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h - 9. Let g(y) = y. Let l(q) = -14*q + 4. Let z(u) = 10*g(u) + l(u). Suppose 1117 = -3*j + 1096. Determine j*z(c) - 3*n(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 42. Calculate the smallest common multiple of 16 and (-4)\/22 + (-624)\/w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**7\/70 - o**6\/120 - 7*o**5\/4 - 6*o**2 + 4*o. Find the third derivative of k(m) wrt m.\nAnswer: 72*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0054 + 0.0946. Put q, 0.4, -40 in ascending order.\nAnswer: -40, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/6 and -1\/5386?\nAnswer: 16158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1457 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.316 + -0.316. What is the nearest to f in 3\/4, -0.2, 7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.8 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.27575 - 0.02425. What is the closest to 0 in 61\/5, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l - l**2 - 29*l + 54*l - 19)*(-4 + 4 + 2*l**3 + (0 + 2*l + 0)*(0*l**2 - l**2 + 0*l**2) - 2*l**2 - l**3 + 2*l**2 + 0*l**3 - 4*l**3 + l**3).\nAnswer: 4*l**5 - 4*l**4 + 76*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (11 - (-2 - -8 - 6))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b + 1. Suppose 73*s + 5*m - 56 = 69*s, -2*s + 11*m - 80 = 0. Let i(r) = 2*r**3 + 5*r**2 + 4*r + 4. Determine s*n(c) - i(c).\nAnswer: -6*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 238292*w - 102195648.\nAnswer: -4*(w + 432)*(w + 59141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (36 - 19 - 42)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 968, 3832, 8600, 15272, 23848?\nAnswer: 34328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 110.07. Let i = 23.43 + u. Let h = 20 - i. What is h rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irwriiijbgirg. Give prob of picking 3 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479712 divided by 6.\nAnswer: 79952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -458210 divided by 5?\nAnswer: -91642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -2*u. Suppose -3*k = g + 179, 2*k + g + 117 = -u*g. Let y be k\/27 + (-4)\/(-18). Put 0, y, 1 in increasing order.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -138.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16501110 divided by 550037.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 3*a - 6*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r - 25 = -5*j, -5*j - 2 = -4*r. Suppose 0 = -66*q + 71*q - 5*t - 73485, j*t = -8. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 9, v: 11}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*n + 315 = -131*n. Let u be 2\/(-1) + 4 + 40. What is the highest common factor of u and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -y + 2 - 42, -p + 46 = -y. Put 1, y, -1 in increasing order.\nAnswer: y, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243 (base 15) to base 10.\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -519*n**2. Let u(c) = -11457626 + c + 11457626. Give h(u(k)).\nAnswer: -519*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1 - (-3 + 1)). Let x = 0.4522 - 1.4522. What is the closest to x in -0.02, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23118, -1, 0.299, -4, -0.5 in descending order.\nAnswer: 23118, 0.299, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161592, 323180, 484768?\nAnswer: 646356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 7:36 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -0*u + u, -5*t = -3*u - 50. Solve -5*y + 7 = 5*d + 57, -y + t = -3*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/80*2*3\/120*2.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 36*k**2 - 403*k - 18. Give m(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9451?\nAnswer: 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/(4\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. Suppose 2*q - m*q = -12. Suppose -3*o + 7*o - 24 = -5*d, 0 = q*o + d - 29. Solve -c + 4*p = -2*c + o, 4*c - 5*p = -40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 11755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4\/9 + 6152*k**3\/9 + 788186*k**2\/9 - 88260*k = 0.\nAnswer: -2942, -135, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 23*c**2 - 31*c + 41. Does 17 divide i(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, y: 3, h: 6, v: 1}. What is prob of sequence hhav?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 8774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/574668 and 151\/11365656?\nAnswer: 102290904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**3 - 33*g**2 + 15*g - 1. Give c(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -253 - 2*q + 975*q**2 + 4*q - 162*q**4 + 255 - 973*q**2 to i*q**3 + d*q**4 + v*q**2 + g*q + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*k**2 - 14059*k + 14055*k - 1 + 42*k**2)*(-2*k + 0*k + k) - k**3 - 5*k**3 + 5*k**3.\nAnswer: 114*k**3 + 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 184526*p - 2029777. Give f(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -3 + 1 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 458*t**2 - 31499*t + 31042.\nAnswer: -(t - 374)*(t - 83)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 13.66. Let u = x + -24.34. Let w = u + 19. What is the second smallest value in 2, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*z = 31, -29 = -5*z - 9. Let g = 6 + c. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -1\/3 (c) -1\/5 (d) 0.0421\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 64*o + 2022. Let t be v(-26). What is the highest common factor of 2790 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:00 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**3\/6 - 21*j**2\/2 + 10*j + 2. Let c be x(12). Are c and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 9*w**2 - 3*w + 2. Let y(i) = -i - 1. Let n(p) = k(p) + 6*y(p). Let g(u) = u**3 - 4*u**2 + 4*u + 2. Determine -9*g(o) - 4*n(o).\nAnswer: -o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -66 - 0) + (24 - (29 + 22 - 31)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -3, -1 in decreasing order.\nAnswer: 2, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.113 * -3496\nAnswer: -395.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-7)\/(21\/(-24)). Let b be ((-28)\/(5 + l))\/(-1). Is 15584\/b - (-6)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.723408 months?\nAnswer: 0.0060284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2282935 or -18263469\/8?\nAnswer: -18263469\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 22. Let h be o(0). Suppose 2*l + 14 = 2*v, v + l = -l + h. Calculate the lowest common multiple of v and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25. Let g = 1\/5 + w. Solve 0 + 0*y - g*y**2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 56*f + 20 - 15 + 17 - 22 + 54*f.\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - p - 1 = 0, 0 = 5*j - 4*p - 7 + 14. What is the remainder when 3 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 4:15 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -55*l**3 + 4*l**2 - 868*l + 14. Let k(m) = 54*m**3 - 2*m**2 + 867*m - 16. Let b(g) = 6*k(g) + 7*v(g). What is the second derivative of b(w) wrt w?\nAnswer: -366*w + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/3 - 8*g**4\/3 + 186*g**3 - 4492*g**2\/3 + 13760*g\/3 - 4928 = 0. Calculate g.\nAnswer: -22, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 1962339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57493102 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -15675?\nAnswer: 15677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*w = 12 + 3, 27 = 5*u - w. Let l(o) = -4*o + u*o - 2*o**2 - 2*o. Let s(d) = 1 - 1 - d. Calculate l(s(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.679 + 527.321. Let f = j + -527.999999191. What is f rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**6\/360 + z**5\/30 + 5*z**4\/24 - 59*z**3\/3 + 39. Let l(v) be the third derivative of x(v). Factor l(n).\nAnswer: -(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477*(-410)\/2952 - -84?\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*i - 12, -5 = 5*s - 2*i + 3. Suppose s = -c - c. Is -158*(c - (-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899*p + 1802*p + 3*q = 908*p + 223, -2*q = -p - 39 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 1 (c) 0 (d) 4 (e) -1 (f) -105\/31727\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let i be 539\/175 + -3 + (-192)\/(-100). Which is the nearest to i? (a) -18 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -423 - 61. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 1. Let v(r) = -36*r + 3 + 13*r + 14*r + 10*r - 2. Calculate d(y) - 2*v(y).\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-1)*(-4)\/(-8). Let y be (-1 + 0)*8\/x. Let j(f) = 6*f**2 + f + 1. Let t(h) = 13*h**2 + 2*h + 2. Let q(g) = -7*j(g) + 3*t(g). What is q(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**5)\/a*a*a\/(a*a**(-2)\/a))\/(a**(-2\/7)*a*a*a**(-3\/5)*a))**23 assuming a is positive.\nAnswer: a**(5543\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 8. What is d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -39. Suppose -10 = -3*k + k. What is the third biggest value in b, -0.5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 162*q - 10. Let u(f) = -83*f**2. Calculate h(u(g)).\nAnswer: -13446*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 29*l + 32*l + 3 = 0, -2*f - 2 = -l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 134*a + 15 = -131*a, 3*q - a - 28 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(220 + 32 + 11)*(3*r + 0*r - 2*r).\nAnswer: 526*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000010000101 + -111001100?\nAnswer: -10110001001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171, -66, 39, 144, 249, 354?\n\"Answer: 105*f - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let j(n) be the third derivative of n**4\/6 + 6*n**2. Calculate x(j(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 433 - 298. Let j = -134 + o. Which is the nearest to 0.1? (a) j (b) 1\/4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -999 + 9?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13305.3 + -13981.43. Round n to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 5. Suppose -5*v = 3*g + 14, 2 = 2*v - v + 3*g. Let w be 0\/(-1*4\/v). Suppose -5*j - 3*x - 15 = 0, -3*j + x + 2 + 3 = w. Give n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = -0*b. Suppose -b*h = -h - 5*h. Suppose 4*r + 8 + 8 = 0, h = 5*v - r - 434. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000568 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1600\/(-20))\/(-16) - -13. Let m(b) = -b - 3. Let d be m(-5). Let f be (0 - -22)*(d - -7). Calculate the highest common factor of f and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 2) + 2 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/(-2484)*4 + (-2)\/(-23)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 878*d**2 + 2*d - 12 + 152*d**2.\nAnswer: 1030*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0.1, -0.15, 0.11 in descending order.\nAnswer: 4, 0.11, 0.1, -0.15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5\/2)*(6 - (-70)\/(-15))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157218 (base 11) to base 9.\nAnswer: -411426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19117 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11091449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*t + 41988, 1952*t - 1948*t = 16. Is 132 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47911 is divided by 144?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k - k - k + 156 - 153 + 8*k to the form z*k + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2*3 - -5. Let g(f) = -4 - 6*f + 10 - 5*f**q + 4*f**2. What is the units digit of g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -2.97. Let x be (-1 - -3)*18\/12. Let f be -2*(-2)\/102*x. Sort f, -2, z in descending order.\nAnswer: z, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 7. Let x be w(5). Suppose -3 + 5 = x*r. Let u(y) = y + 7. Let m be u(-6). Calculate the highest common divisor of m and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30795*m**5*z - 21*m**2 - m*z + 34843*z + 3 wrt m?\nAnswer: 615900*m**3*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*k - 16 = 0, 2699*w - 2698*w - 4*k = -18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62, -1 in decreasing order.\nAnswer: 62, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 494.573 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 5*p - 7. Let y be t(-5). Let x = y + 11. Suppose -2*w + 4*w - x = 0. Solve 5*d - 10 = -5*s, -d - w = -2*s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27321 at least as big as 27321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 230, 226, 222?\n\"Answer: -4*l + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/7 + (-3286)\/(-17808))*(8 - 41).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x\/x**2)\/x))*x**3*((x**(-1\/3)*x)\/x)\/x*x*x**(2\/7))**(2\/31) assuming x is positive.\nAnswer: x**(40\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9989 + 11405. Calculate the remainder when z is divided by 89.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/7)\/2*(-6)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013121 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16719, 33446, 50173?\nAnswer: 66900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16627 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 7*r)*(0 + 0 - 1).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -1\/5*x**5 + 0*x - 1\/2*x**2 + 1\/3*x**3 + 1\/4*x**4 - 3. Determine v so that u(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 3, b: 2, y: 7}. Give prob of sequence yrlb.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 + 2354*h**2\/9 + 300160*h\/9 + 10162600\/9.\nAnswer: 2*(h + 70)**2*(h + 1037)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.251 and 64?\nAnswer: -16.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 82214995 divided by 19\nAnswer: 4327105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**3 - 4 + 4)*(-2780 + 7188 - 2649)*(3 - 9 - 2)*(-3 + 0 + 2) to k + s*j + m*j**3 + x*j**2 and give m.\nAnswer: -28144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 i when four letters picked without replacement from meiiiiini?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - (-6 - -5)) + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2365*s + 190600 = -2361*s. List the prime factors of s.\nAnswer: 2, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -8*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**2 - 394*s - 1466. Calculate t(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-25)*8*5\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1115*4.\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 3*f - 4. Let n be t(-4). Suppose -3*i - 97 = 2*y + 77, -y = 3*i + 171. Let w = i - n. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42115 + 2*l**2 - 42115 - l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33688, -67331, -100930, -134479, -167972, -201403?\n\"Answer: g**3 + 16*g**2 - 33698*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 3*h - h)*(9*h**2 + 2*h**2 + 0*h**2).\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w - 116 = 25*w. Suppose v + w = 7, r - 2*v = -3. Solve 22 = -r*k + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*k**2 + 937*k**2 - 9729665437*k + 9729665437*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22758224623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 526\/(-6)*(-4 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 11011539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1027 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-173)\/(-5) - (-10)\/25. Suppose -5*d - 2*z + 22 = 0, -2*z + 9 = -3*d + x. Find the third derivative of -7*c**3 - c**3 + d*c**2 - 4*c**2 + c**2 wrt c.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 74*z**3 + 4*z**2 + 4*z + 131. Let k(s) = -72*s**3 - 5*s**2 - 5*s - 133. Let o(f) = -4*k(f) - 5*t(f). What is the first derivative of o(v) wrt v?\nAnswer: -246*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 92\nAnswer: 55\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(2904\/(-220))*2\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62 + 3*a**2 - 3*a**3 + 62)*(4 + 0 - 5) to x*a + j*a**3 + u*a**2 + o and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 2, u: 1, a: 4, h: 1}. What is prob of picking 1 u, 1 h, and 1 c?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkv when four letters picked without replacement from kkkkkkvkkkkkkkkkkk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*k - 176*k + 2*m - 1 = 0, 3*m - 14 = 4*k + 5*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -930, -1624, -2632, -4074?\nAnswer: -6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*t = -18, 0 = -82*t + 85*t + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8405071 and 2581.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 1975.805?\nAnswer: 1977.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 19, -3 in descending order.\nAnswer: 19, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200590617 divided by -2271.\nAnswer: -88327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -60. Suppose -4*v + 140 = 3*n - 8*v, 5*n = 5*v + 225. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 + -178. Is r less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(400\/(-36))*-260. Which is greater: t or 467?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - c3d96a?\nAnswer: -c3d97b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36202 times 9\nAnswer: 325818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l - 487. Let g be m(52). Let b = g - -5961\/7. Determine n so that -32\/7 + 8\/7*n**2 - 16\/7*n + b*n**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151998 and 21475146?\nAnswer: 150326022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -1023*n**3\/5 - 16367*n**2\/5 + 107431*n\/5 - 21 = 0?\nAnswer: -21, 1\/1023, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**5)\/((p\/(p\/p**(-24))*p)\/p))\/((p*p*p*p**(-4\/19)\/p)\/p**(-2\/19)) assuming p is positive.\nAnswer: p**(553\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*u + 1537, 4*k - 2311 = -3*u - 0*k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738aa (base 12) to base 6.\nAnswer: 3125534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 2. Let h = -334 + 340. Suppose h*m = 51 - 39. Let d(s) = 2*s - 4. Let p(a) = 1. Let x(f) = d(f) + 3*p(f). Give m*z(o) - 5*x(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10839*a**3 + 1 + 21678*a**3 + 3*a**4 - 8*a - 10834*a**3 + 6*a**2 to j + k*a + u*a**3 + x*a**2 + z*a**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + 3.15. Is 1\/2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3*x + 2242*j**3 - 291*j*x**2 wrt x.\nAnswer: -3*j**3 - 582*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74*(20\/(-8))\/(-5). Let s be (5 - 78\/12)*(-116)\/3. Let n = s - q. Solve 3*y - 3*r = n, 0 = -y - 0*y + 4*r + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 292 = -13*q. Suppose -q*z + 11*z = -32. Solve 0 = -4*n + 3*c + 2, c = -z*n - 4 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81010425.\nAnswer: 3, 5, 967, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:46 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-8)*(0 - (-32)\/6). Suppose -4*f = -0*f - 220. Suppose 3*k = r + f. Calculate the remainder when 39 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859256929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 26 = -86. Suppose 7*r - l = 4*r. Suppose -2*d - 2 + 42 = 0. What is the greatest common divisor of d and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 518.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 6, -3, -6 in descending order.\nAnswer: 6, -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5310 (base 8) to base 14.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunu when four letters picked without replacement from nnuuuunkuknuuk.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/14 and -81\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t + 4. Let o(b) = -1. Let s = -118 + 122. Determine s*o(i) + w(i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*m**3\/7 - 968*m**2\/7 + 12906*m\/7 + 2916\/7.\nAnswer: 2*(m - 27)**2*(9*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1751014, 1750844, 1750674?\nAnswer: 1750504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214084*g - 213641*g - 15505 = 0 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.049 + -0.449. What is the third biggest value in l, 0.1, 3\/2, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -7. Suppose x = -c*x + 10. Let v = -0.14 + -0.06. What is the second biggest value in v, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -378*f + 25. Let j(x) = 1125*x - 69. Calculate -17*i(d) - 6*j(d).\nAnswer: -324*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*y + 11122150 = -652*y. What is y rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.01 - 0.39. Let r = 571139\/7 - 81591. Which is the second smallest value? (a) x (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/(134\/(-335)). Sort 1, -6, y, -2, -25.\nAnswer: -25, -6, -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 671 = -4*r, -5*x + 0*x + 3309 = 3*r. Suppose -3*j + 171 = -2*j + 5*t, 4*j - x = t. List the prime factors of j.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.568139ml in litres?\nAnswer: 0.008568139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73566*f**6 + 2*f**3 + 72422*f**2.\nAnswer: 8827920*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 277, 415, 559, 715?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.453917319 rounded to five dps?\nAnswer: 0.45392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 63505*q - 48386310.\nAnswer: 5*(q - 13422)*(q + 721)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(72) + sqrt(72)*-4 + sqrt(72)*-6 + -1)*4)**2.\nAnswer: -6912*sqrt(2) + 93568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -4 (c) -5\/404 (d) 0.2 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1425543 (base 8) to base 14.\nAnswer: -a74c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsggggss. What is prob of sequence ggg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + -3 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/95, -7, -4, -1?\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 17*a + 120. Is 6 a factor of (16\/20)\/(2\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0664893692 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 39108.\nAnswer: -7821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.7 - 20. Which is the biggest value? (a) 3 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-20)))\/d**(-33) assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d - 236. Suppose 2*f = -f - 4*q - 43, f - q = -5. Let c be w(f). Solve -14 = -10*r + c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 2, -6, -9 in decreasing order.\nAnswer: 2, -1, -6, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14793038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-3))\/((-4)\/6). Put m, -10, -3 in ascending order.\nAnswer: -10, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 8832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3 = 2*w, 2 + 2 = 4*o. Let q(z) = -1. Let i(d) = -2*d + 2. Give w*i(g) - 2*q(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (14 - (-5 - -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + n - 6, -n + 9 = -5*k - 9. Let s be 1\/k - 9\/108. Which is the nearest to 8\/7? (a) s (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anan. Give prob of picking 1 a and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(240*o - 481*o + 6 + 239*o) to v + y*o and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -303374905, -303374906, -303374907, -303374908, -303374909?\n\"Answer: -i - 303374904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -282617446 > -282617446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -15. Suppose 192 = -22716*a + 22720*a. What is the lowest common multiple of j and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(66)\/sqrt(3))\/(sqrt(2) - -2*(sqrt(2) - sqrt(18))) + 5.\nAnswer: -4*sqrt(11)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 0. Let z = -96114 - -671642\/7. Let q = z - -165. Which is the nearest to 3? (a) r (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 + 59*y + 15. Suppose -3*c - 3*i + 240 = -6*i, -c + 3*i + 72 = 0. Calculate the remainder when c is divided by k(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 5*c**2 - 3*c + 29. Let i be d(-6). Let z(w) = w - 2. Let b be z(4). Let o be (-3)\/b*44\/(-6). What is the highest common factor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8, -4*d + 2*x + 7 = -37. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (72\/7)\/(4 - 663\/168) is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 335, 1511, 3449, 6143, 9587?\n\"Answer: -x**3 + 387*x**2 + 22*x - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 260\/2*(-84)\/24*(-79)\/(-553)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-12\/5)*s*s\/(s\/(s*s*s**(-12))) assuming s is positive.\nAnswer: s**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44982 and 6664.\nAnswer: 179928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 731054690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*s - 91 = 0, 0 = -3*g - 0*s - 2*s + 85. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8028673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1917 and 33?\nAnswer: 21087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/594 and 193\/1831368?\nAnswer: 16482312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**6\/60 + p**5\/12 + p**4\/8 + 8*p**2 + 39*p + 6. Determine a(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.291 take away 425999279?\nAnswer: -425999072.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16074768 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442 (base 5) to base 12.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*x + 1874 = 7*h, x = -4*h + 1489. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 3967163?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289108 is divided by 184158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141503 divided by -386?\nAnswer: -1141503\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001588 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54810 + 27*y + 2*y**2 - 54810 to the form m + v*y**2 + w*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let h(j) be the third derivative of -1\/4*j**4 + 0 + 0*j + 0*j**3 - 2*j**2. Give u(h(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1416 and 115\/532.\nAnswer: 188328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*a + 633, -83*a + 88*a = -6*d + 1759. What is the nearest to d in -0.04, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135 + -160?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngninii. What is prob of sequence nign?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 20*x - 130. Determine l(-8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Let u = -151 + 150. Let w be 5*(-1)\/u - -4. What is the nearest to p in w, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, 1, 6 in decreasing order.\nAnswer: 26, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.44 - 2.94. Which is the closest to 1? (a) 13 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 24. Let j = r - -4. What is the nearest to 0 in j, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -112.8. Let j = i - 19.2174. What is j rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 234*w**2 + 998*w - 17939. What is j(230)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140488?\nAnswer: 2, 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -89. Suppose -8*q - p = 352. Let u = 26 - q. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*m - 363, 0 = -3*t - m + 538 - 175. Is t a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let w(f) = -3*f - 1. Calculate -2*w(b) - 2*x(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 7*o + 4*o - 4*o. Let i(p) = -4*p**2 + 5*p. Let g(u) = -3*u**2 + 4*u. Let q = -27 - -31. Let s(h) = q*i(h) - 5*g(h). Calculate z(s(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 11*k**2 - 8*k - 1. Let z be f(4). Put 2, 0, z in descending order.\nAnswer: z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + -0.4. Let m = -694 + 693.7. Which is the closest to 0? (a) 3 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 + 2*z**2 + 3*z + 2. Let x be w(-1). What is the tens digit of (-28 - 0)*x\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, -13, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -q - 257, -3*q + 431 = 5*w - 6*q. Calculate the greatest common factor of 391 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r - 9. Let w(q) = 6*q**2 + 15*q + 5. Let a(f) = -5*n(f) + w(f). What is a(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.187357 to 2 dps.\nAnswer: 122.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 456.6 - 460. Let i = -457\/4 - -113. Which is the closest to p? (a) -0.4 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -108.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -5, 14, 20, -2 in descending order.\nAnswer: 20, 14, 9, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in decades?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2925519*t**3 - 4*t**2 + 2*t - 818189.\nAnswer: -17553114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -993, -1001, -1015, -1035, -1061, -1093?\n\"Answer: -3*l**2 + l - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1085961494 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -32 - 464. Let l = 236 - z. Let c be ((-26)\/l)\/((-1)\/(-4)). Put 2\/3, c, -0.1 in increasing order.\nAnswer: -0.1, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/72*-2 - (-17)\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = 3*n, -40*n - 6 = -42*n. Factor 8\/3 + s*h + 4\/3*h**2.\nAnswer: 4*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 399225.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10816, -10804, -10792, -10780?\n\"Answer: 12*h - 10828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357854507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25405.\nAnswer: 5, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12295\/6 - -4101\/2. What is q in 0 - 22\/3*q**2 + y*q = 0?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48960 by -24.\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**4 - 11 - 3 + 0*r**4 + 5 + 4*r**2 + 7 + 2*r + 3*r**3 in the form q*r**3 + f*r + b*r**2 + l + u*r**4 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 5*s - 18*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**6*t*t*t)\/t*t\/t**0)\/(t\/(t**(-7)*t)*t**(-2\/21)) assuming t is positive.\nAnswer: t**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532154441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21.428325 seconds?\nAnswer: 0.35713875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 6*m**2 - 2*m - 8. Let j be b(-6). Solve 0 = -s + 3*x - 11, -j*x + 3 = s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4307825040.\nAnswer: 2, 3, 5, 17949271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*a - 36. Suppose 31 + 49 = a*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*z**2 - 2\/3*z**3 + 0 - 8\/3*z.\nAnswer: -2*z*(z - 4)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2 - 3*r + 5 + 4*r + 2. Let q be h(12). Let p(d) = -d**2 - 21*d + q*d. Let o(y) = 2*y. Determine p(o(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*g + 4*x - 26, 6 = 3*x. Solve 5 + 9 = 5*f + 4*n, 0 = f + 4*n - g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 z when four letters picked without replacement from {c: 1, i: 1, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:10 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 29. Suppose -q - 2*n + 11 = 0, n = 5*q - 0*n - 11. Factor 8*j**3 - b*j + 20*j**2 + 24*j + 12*j**q + 5*j**5 + 10*j**3 + 20*j**4.\nAnswer: 5*j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/6 - (-1 - 2). Let b(s) = -7*s**2 - s. What is b(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 2, k: 3, d: 2, z: 3, b: 3}. What is prob of picking 2 z and 1 e?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3983 - -3987. What is the second biggest value in -26.9, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + 26. Calculate the remainder when f is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*x**2 + 353 + 168*x**2 - 457*x**2 - 353 - 4*x + 7*x.\nAnswer: -110*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/600 and -89\/50.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(77)\/sqrt(7) + sqrt(11)) + sqrt(11))*-2)**2*-5.\nAnswer: -26620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6776656*-1.\nAnswer: -6776656","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1016*f - 12173. Give z(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q - 25 + 101 = h - 82, 2*q - 26 = h for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 38378613?\nAnswer: 38378562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2153 + 7364 + 2748)*(-5*m**5 + 6*m**5 + m**5) + (-m**3 + 0 + 0)*(5*m**2 + 0*m**2 - 3*m**2).\nAnswer: 24528*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -123. Is 25 a factor of (-113 + 3)\/(n\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.188 + 0.082. Let t = -0.294 + j. Sort -2, t, -0.9 in ascending order.\nAnswer: -2, -0.9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17829768 is divided by 595.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*v + 4, -23 - 5 = -5*v + 4*s. Let m be (v - (1 + -1))*16. Suppose 3*l - 173 = m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {h: 1, e: 1, o: 1, z: 4, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 5*x = 5*r, 4*r - x = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d - 2. Let b be v(5). What are the prime factors of (1*3)\/(21\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 28*s + 2. Let j(h) be the third derivative of -h**5\/30 - 1569*h**2. Calculate j(l(n)).\nAnswer: -1568*n**2 - 224*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (227\/((-40860)\/216))\/((-102)\/2).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 10*t**2 - 10*t + 13. Let o be i(9). Suppose -3*p + 432 = v - 120, 0 = -o*p - 5*v + 725. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 404236 - 404236 - 5*k**2 + k**3. Let i(u) = -2*u**2. Give 5*i(t) - 2*w(t).\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-10)\/y*y))\/(y\/(y**7*y*y))*y**(-21)\/(y**(-21)*y) assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 160*l**2 + 984*l - 2112. Give v(-166).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326651 by -5.\nAnswer: 326651\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 15*h**2 + 15*h + 20. Let x be f(16). Suppose -x*k = -0*k + m - 37, 0 = -2*m - 6. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 84, 83, 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(-16)\/336*(-42)\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:40 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 467, -2, -1015, 5 in decreasing order.\nAnswer: 467, 5, -2, -3, -1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 15 + 14 + 7*a + a**3 - 9*a to h + n*a**2 + z*a**3 + w*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -330. Let c(o) = -2 + 3 + 2*o - 2. Let w(s) = -1. Calculate r*c(z) - 2*w(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 8*j**2 - 8*j - 4. Calculate u(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37736 and 4272?\nAnswer: 226416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20052, -20060, -20080, -20118, -20180, -20272, -20400, -20570?\n\"Answer: -j**3 - j - 20050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**3\/3 + 2*h + 5. Let c be j(0). Solve -c*n + 5 = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 3*a + 1 + 2. Let j be -2 + 2 + (-30)\/(-1). Suppose -5*p - j = 3*f + 2*f, 3*f + 12 = -p. Give m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 + 7*n**3\/3 + 9*n**2\/2 - 4*n - 20. Give z(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14027776 (base 8) to base 15\nAnswer: -425a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -10) + -11 - 7) + (437 - 340)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (-6)\/4)\/(-1*2\/4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 4*c - 3. Let a be t(-3). Suppose -a - 6 = -s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-660)\/3)\/(1\/(5\/(-10))).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670048 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172259, 172300, 172341, 172382?\nAnswer: 172423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/20 + 37*t**4\/24 + 21*t**3\/2 - 170*t**2. What is o(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*l - 23, 2*c + 3 + 3 = -4*l. Let f(p) = 2 - 3 - l + 7*p. Let s be 24\/40*5*(-4)\/(-6). Give f(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*q + 16. Let w be (16\/(-480))\/(q\/(-10)). What is the nearest to -2 in 1\/5, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16521869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, u: 16}. What is prob of picking 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u + 6*u**2 - 2*u - 11 + 4. Let g(r) = r**2 - 1. Let w(a) = a**2 + 14*a - 71. Let i be w(4). Calculate i*h(m) - 5*g(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 285? (a) 0.175 (b) -2\/5 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h**3 + 81*h**2 - 2*h + 7. What is l(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215621973?\nAnswer: 3, 7, 431, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 895, 2182, 4327, 7330?\nAnswer: 11191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 103 = 29. What is the remainder when 61 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43838917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2404282 and 12021410.\nAnswer: 12021410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*p = 41, -15*o - 2*p = -12768 + 12708 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**36)**(-1\/46)\/((h\/(h*h\/(h*h**(-21)\/h*h*h*h)))\/h)**42)**10 assuming h is positive.\nAnswer: h**(193020\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. What is the third derivative of 0*o**6 - 4*o**2 + v*o**2 - 4*o**6 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 319 and 174?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.24936009 to 2 dps.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 23. Let o = 50 - g. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/((-30)\/18*(-21)\/(-14)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9*m = 0. Suppose q = -4*u + 7, u - 8 = -2*q - u. Solve m = 2*w - 2*l - 2 - 0, -4*l - 32 = q*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 9*d - 65. Let u be i(11). Which is the third biggest value? (a) -0.3 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 437.68?\nAnswer: -436.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 3, -5, 3, 33, 91, 183?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140.6991 - 1.9691. Let x = f + -138. Let o = x + -0.23. Which is the nearest to -5? (a) o (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhrk when four letters picked without replacement from {r: 1, x: 2, h: 5, w: 2, k: 5, g: 4}?\nAnswer: 25\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -55e (base 16) in base 10?\nAnswer: -1374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 245 = 5*w, 5*k + 34 = 9. Suppose 51*l = 55*l - w. Solve 3*z - 6*v + l = -5*v, z - v = -3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 3. Let g be t(-3). Let p(a) = 14*a + 1. Let b = 14 + -13. Let y be p(b). Solve y = -3*i + 5*l, -4*l + l - g = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4840 and -9554.\nAnswer: -46241360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 145*s - 141*s + 24, 2*u - 10 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = -3*v - 13, 5*v + 5*g + 5 = 0. What is the smallest value in -2\/13, -4, v, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30477 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaasasxssaasas. What is prob of sequence sx?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18027, -36436, -55139, -74130, -93403, -112952, -132771?\nAnswer: -152854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44401 (base 5) to base 9.\nAnswer: -4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 234, -1, -0.1, -17522, 2 in descending order.\nAnswer: 234, 2, -0.1, -1, -17522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 11*d + 3498 = 2*g, -3*g - 4*d = -5225. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 16. Let h = -50 - -18. Let o = -17 - h. Let d be q(o). Which is the smallest value? (a) -2\/9 (b) d (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 51. What is the remainder when p is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*u + 60 + 123, -4*u = -5*h + 446. What is the greatest common factor of h and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -546, -525, -492, -447, -390, -321?\n\"Answer: 6*c**2 + 3*c - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 436912520.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437056313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 22 = -218. Let d(h) = -7*h + 3*h + 7*h + h + i. Give d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-22)\/(-5))\/((-4)\/(-10)). Suppose -35 = -4*q - j. Find the third derivative of 54*s**4 + 10*s**2 - s**q - 54*s**4 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-5 - (-442)\/(-51)))*-63.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418033*k - 836077*k - 82*k**2 + 418044*k.\nAnswer: -82*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from zxxxaxaxzxxaxxxzxx?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*k + 33*k + 31*k)*(-10 + 9 + 4)*(-3*k**2 + 3*k**2 + k**3) as z*k**2 + d*k + x + v*k**3 + i*k**4 and give i.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 4 + 4 + (-3*a + a + 0*a)*(1 + 4 + 0).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-2) - 1\/(-1). Suppose 5*j - 29 = -4*b + o, j = -3*b + 19. Let d = j + -3. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(112) - (1 + sqrt(112)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - -6)) + 3 + 11 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/7880 and 123\/2810.\nAnswer: 2214280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**4 - 119*i**2 + 0 + 0*i**5 + 0*i**6 - 5\/2688*i**8 + 0*i**3 - 1\/840*i**7 + 0*i. Let p(d) = 0. What is d?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 i when four letters picked without replacement from {i: 5, j: 4, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:24 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132325 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -148. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 12 + 5 - 17 - 4*s to the form w*s + c*s**2 + a + p*s**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77284000 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4*i - 3, 2*b - 3*i = -13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05262 and -9632?\nAnswer: 506.83584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - 2*q)*(0*q + q - 2*q) - 8 + 2 + 2*q**2 + 5.\nAnswer: 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m + 4. Let s = m - -4. Suppose -7*n**2 - 4 + 5 + n + 6*n**s - n**3 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 bigger than 2001\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -786391011*j**4 + 228214775*j**2 wrt j.\nAnswer: -18873384264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 8*i - 4. Let f be w(5). Suppose -5*n + f = -34. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-32)*2)\/((-19)\/(-76))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 513.60714 from -23.423.\nAnswer: -537.03014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((0 - -2) + -6 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 7 (c) 0.74 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90383 is divided by 3852.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-one halves of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4869 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 6, u: 5, p: 1, d: 2, i: 2}. Give prob of sequence tdd.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 37, 116, 267, 514, 881, 1392?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f - 153 = -94*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2204 - -3?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-18) + 130808\/1494. Let n be -104*(-2)\/(8\/(-3)). Let z = n + t. Is 6 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 811255 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1603.340339407 - -0.330329407. Let k = 1603 + a. What is k rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0 + 2. Let p(i) be the second derivative of i + 0 + 0*i**2 - 1\/6*i**3. Let o(d) = d**3 - 2*d. What is g*p(u) + o(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 15*r + 0*r**2 + 61 + 8*r**2 - 42 - 17*r**2. Let b(q) = 4*q**2 + 8*q - 9. Calculate -13*b(v) - 6*y(v).\nAnswer: 2*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(119)*2)\/(sqrt(63) - sqrt(4032)*1).\nAnswer: -8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16 + 4*y + 2 + 6 + 3. Suppose 0 = -4*k + 30 + 18. What is the units digit of t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 - 3) + (-5 - (33 - 41)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2800)*-1)\/(sqrt(24)\/(sqrt(6)*1)) - ((-1 + sqrt(252) + sqrt(28) - sqrt(224)\/(sqrt(24)\/sqrt(3))) + 4).\nAnswer: -3 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32154758 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/(-10) + 2 + -1. Suppose 67 = c*x - 10*x. What are the prime factors of x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + -75. Let g be 7*(a - 20\/28). Let w(j) = -j + 13. Let b be w(8). Put 4, g, b in increasing order.\nAnswer: g, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3 - 29. List the prime factors of 2\/z - (-1548)\/78.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5724.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 2*d, 4*d + d = -5*p - 25. Suppose -4*k + 31 + 61 = p. Calculate the remainder when 66 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**5 + 24505*h**4*o + h**2*o + 64*h*o - 40*o wrt h.\nAnswer: 300*h**2 + 588120*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1753\/9558 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(-3*sqrt(10)) - (sqrt(56)\/sqrt(8) + -2 + sqrt(7) - sqrt(7)).\nAnswer: -4*sqrt(7)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4, -5, -36, -6 in descending order.\nAnswer: 43, 4, -5, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**3 - 2*m**2 - 2*m - 1. Let s be (1 - -3 - -4)*1. Suppose 5*a + 4*c - 27 = 28, -4*c = -4*a + s. What is the remainder when a is divided by v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40045437 + -2?\nAnswer: 40045435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 - (-27 - (-55 - -118))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 13) + (3190 - 3210)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91) + sqrt(91)*2)*-6)\/(-4*(sqrt(63) + sqrt(7))) - (-3*sqrt(52) - (sqrt(104)\/(sqrt(8)*1) + sqrt(13)))*-2)**2*6.\nAnswer: 32799\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0785 + -364.9215. Let a = 363.87 + c. What is a rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 140912, -41, -4, -1 in descending order.\nAnswer: 140912, 5, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 3*q. Let r be n(5). Let m = 11 - r. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -29. Suppose -84 = -4*d + a. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000308746 rounded to 6 decimal places?\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(308)\/sqrt(112).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 2. Let n be o(1). Is 40*(n\/9 - (-34)\/12) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:42 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.014 + 0.514. What is the second biggest value in -4, 6\/5, g, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68721 less than -1.57?\nAnswer: -0.88279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = -46*j + 123*j. Let p be -3 + (-7665)\/(-126)*(-6)\/(-15). Factor -4\/3*d**3 + 32\/3*d - p - 1\/3*d**j + 4*d**2.\nAnswer: -(d - 2)**2*(d + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a**3 - 5*a**2 + 13*a - 5. Let t(w) = -w**3 + w**2 - 2*w + 1. Let z(y) = -g(y) - 5*t(y). Let r(d) = -11*d**3 - 2*d. Give 3*r(i) - 2*z(i).\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**4*q - 19*j**3*q**2 + 3*j**2 - j*q**2 + j - 2*q**2 - 1610 wrt j?\nAnswer: 96*j**2*q - 114*j*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j + 2*g - 16 = 0, -4*g + 20 = 4*j. Let s(w) = -4*w + 2*w + 3*w + 82*w**j. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (2 + -14 + 19).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -114*y**2 - 3*y + 2. Let l(h) = -32*h**2 - 2*h - 1. Let i(n) = -4*l(n) + u(n). Let r(t) = 41*t**2 + 14*t + 17. Give -17*i(j) + 6*r(j).\nAnswer: 8*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -640 - -638. Let a = -0.2 - -11.2. What is the second smallest value in a, -4\/5, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from {v: 3, u: 3, n: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2491512 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 244*x**2 + 11 - 487*x**2 + 242*x**2 + 6 - 21. Let m = 6 - 6. What is w(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 4 + 20*w**3 - 4 + 2 - 77*w**3 in the form b*w + g*w**3 + r + h*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 n when four letters picked without replacement from {h: 4, n: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + ((-6)\/(66\/(-23)))\/((-3)\/6). Let g be (3\/2)\/(45\/20). What is the second biggest value in m, g, -0.2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 23. Give w(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265227 is divided by 7366.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 49 = 4*u, -a + 12 - 13 = 0. Solve 3*d - 2*h + 9 = 0, -8*h - 6 = -3*d - u*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*b**3*w**2 + 230*b**3*w - 36*b**2*w**2 + b**2*w - 6*b**2 + b*w**2 - 9*b*w wrt b.\nAnswer: 1080*w**2 + 1380*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*q = 3*g - 35, 2*q - 30 = -4*g. Suppose 4*z + 792 = 4*b, 2*z - 3*z = -g*b + 214. Let y = z + 113. What is y rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17695*i + 9249. Is z(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2937158 and 95\/3332.\nAnswer: 5874316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*q = -6, -4 = 5*q + 6. Suppose a - 1 - g = 0. Solve a*d = -u + 1, -u = 2*d - 6*u + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2135 and 0.3?\nAnswer: 640.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -656 divided by 82\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 7*v**2 + 3*v - 12. Calculate the least common multiple of 8 and z(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 13*u**2 - 20*u + 5. Let k be a(11). Let r = k + 70. What are the prime factors of r?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2733969 or 2733970?\nAnswer: 2733970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1017534.353 to the nearest 10.\nAnswer: 1017530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*k + 168 = -112*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:21 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6777434 (base 8) in base 13?\nAnswer: -4c318c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/5 + 40*h**3 + 202*h**2\/5 = 0 for h.\nAnswer: -1, 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54034555 (base 6) in base 11?\nAnswer: -997600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15*z**2 - 8033*z + 65220. Give v(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5107aa (base 12) in base 2?\nAnswer: 100110101000101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*l - 9*l - 100. Let m(o) = -6*o**2 - 4*o. Let r(c) = -c**2 - c. What is l*r(x) - m(x)?\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1832*19.3\nAnswer: 35357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3899*i - 1280.\nAnswer: 3899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -105, -150?\n\"Answer: -45*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362910315 to the nearest integer?\nAnswer: 19050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54328.\nAnswer: 2, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-950))\/((6\/45)\/((-10)\/15))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22713 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19216535 divided by 3843307\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 5*f**2 - 5*f + 4. Let b be u(4). Suppose b = 5*l - 17 - 8. Let q = 146 + -132. Solve 0*w = l*s - w - q, -3*s + 13 = 4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gap. What is prob of sequence gap?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-12))\/((-172)\/(-129)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**3 - 2 + 2 + 4*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5))**(19\/4))**30 assuming j is positive.\nAnswer: j**(-1425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u. Suppose -3*d + 4*d = u. Let i be 2\/6 + (-96)\/(-36). Sort d, i, 4 in ascending order.\nAnswer: d, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 - o**5\/12 + o**4\/8 + 2*o**3\/3 + 294*o**2. Let h = 2 + 2. Let s be m(h). Which is bigger: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33773000 rounded to the nearest one hundred thousand?\nAnswer: 33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(684) + sqrt(684) + 1 + -1 - sqrt(684) - ((sqrt(684)*-1 - sqrt(684)) + -4))**2.\nAnswer: 288*sqrt(19) + 12344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 56*g**3 + 5*g**2 - 5*g + 5. Let x(i) = 237726*i**3 + 2*i - 2*i**2 - 237754*i**3 - 4 + 2. Give -2*p(t) - 5*x(t).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-54)*3)\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/87 + -253\/348. Let m = 1438 - 1438.1. What is the nearest to s in m, 1\/2, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.51 - -1.4685. Let h = j + 5.1015. Let i = h + -0.06. Sort i, -3, -4.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 546*b + 1095*b - 549*b - 11*b**3 - 3*b**2.\nAnswer: -11*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*i**2)*(-i + 0*i - i) - 3*i**3 + i**3 + i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1673*a - 89. Let i be k(2). Let r = -1824 + i. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:18 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100111 + 110010001?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 305 and 1249280?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -29. Suppose 0 = -k*z + 7*z - 25. Suppose z*s - 2 = 8. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 16*t - 7. Let y(m) = -2*m**2 - 16*m - 8. Let h(w) = w**2 + 10*w + 5. Let i = -394 + 399. Let k(f) = i*y(f) + 8*h(f). What is k(z(a))?\nAnswer: -512*a**2 + 448*a - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42, 101, 192, 315?\n\"Answer: 16*m**2 + 11*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1338\/(-1)*(-5)\/(-335) + -10141 + 10161.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174366 - -174368. Solve -40\/3 - 4\/3*d**v - 44\/3*d = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*t - 10 = 0, 9*t - 4*t - 24 = -2*i. Solve 0 = 4*j - 4*r + 32, i*j = -j - 5*r + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101708*o + 50857*o + 50849*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 less than -127013416?\nAnswer: -127013410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.5 (c) 8 (d) 5 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 676\/15 + -134\/3. Let v = 75 - 76.9. Let h = v - -5.9. Which is the nearest to -1? (a) h (b) u (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 3*f**2 - 3*f**2)*(67*f**2 - 80*f**2 + 16 + 17*f**2 - 5*f).\nAnswer: 4*f**5 - 5*f**4 + 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33351 - 13?\nAnswer: -33404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 2, j: 5, b: 5}. Give prob of picking 1 j and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.99999754 + 54. Round s to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + 5\/(840\/136)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(432))*2 + (-2*sqrt(147)*6 + 3*(2 + sqrt(147)))**2.\nAnswer: -852*sqrt(3) + 11919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 2 - (4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 6*d**2 + 9*d - 10. Let b = 85 + -76. Suppose -3*w = -3*u - b, u = 5*u - 16. Let j be q(w). Solve 25 = n + j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -15, -6, -2 in descending order.\nAnswer: -2, -6, -15, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*t - 29*t - 46*t + 2*t**2 as g*t + h + q*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 2357*l**4\/3 + 10*l**3 - 8*l**2 + 12398*l. Find the second derivative of r(a) wrt a.\nAnswer: 18856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:11 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 81, -2\/5, 1, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - ((2 - (0 - -12)) + 8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((10\/3)\/5). Solve 0 = -4*h - 5*k - 0 - 2, -3*k = -h - r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238069669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 709*p**3 - 25*p**2 + 133*p.\nAnswer: 4254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105193, 210299, 315223, 419875, 524165, 628003, 731299?\nAnswer: 833963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 39 = 2*h + f, 2*f - 84 = -5*h. Calculate the smallest common multiple of h and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a. Let k(m) = 2*m - 3. Let t(x) = 6*x. Let g(o) = 13*o + 1. Let z(b) = -4*g(b) + 9*t(b). Let i(r) = 4*k(r) - 3*z(r). Calculate c(i(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 561, 848, 1149, 1470?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, a: 4, n: 2, w: 5}. Give prob of picking 2 n, 1 w, and 1 g.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (2 + sqrt(80))**2 + sqrt(80))*-4 - (2 + (sqrt(80) + 0)**2) - (((sqrt(80) + sqrt(80) + -1)*4 - sqrt(80)) + 2))*1.\nAnswer: -416 - 124*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 - 9366906*i - 9366907 = 0.\nAnswer: -1, 9366907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23162.34mm to kilometers.\nAnswer: 0.02316234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 985142.5 millennia in months?\nAnswer: 11821710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 + 70*g + 25. Let t be b(10). Is t equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -6\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*x - 53 = 0, 0 = 2*s + 2*x + 22 - 4. Let i be (-33)\/(-15) + 2\/s. Solve i*j = j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91.42 - -631.48. Round a to the nearest 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 3*k - 8 = 0, -y + 2 = -3*k. Suppose -123 = -y*d + 5*r, -6*r + 2*r + 150 = 3*d. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*b - 112 = 0, 62*n - 58*n + 2*b - 236 = 0. Calculate the highest common divisor of n and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - -1)*(2 + -1). Suppose t - m*t = -52. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) - (sqrt(176) - -6*(-1 + sqrt(176)))**2.\nAnswer: -8660 + 340*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/4 + 1567*u**3\/4 - 614649*u**2\/4 + 603693*u\/4 + 1839267\/2 = 0.\nAnswer: -2, 3, 783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 119\/4. What is the second biggest value in -2, 5, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 = -2*p + 4*s + 1870, -3*s + 1797 = 3*p. Calculate the highest common factor of 26 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21120 (base 3) to base 2.\nAnswer: 11001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 2*f + 3. Let q be j(-3). Let z be 400\/q*(-3)\/2. Suppose 5*n - z = -0*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 13*d + 6. Is r(6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 5) to base 7.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 6, x: 9}. Give prob of picking 2 l and 1 x.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2 + 10*o - 31. Let d be -1*-28*(-1)\/(5 - 3). Let h = -8 - d. Is a(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*w - 0*w + 12, p = w + 2. Let b be (-276)\/(-429) + ((-8)\/11)\/4. Put p, b, 0, 1 in ascending order.\nAnswer: p, 0, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 3}. What is prob of sequence yyw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -1\/7, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/((-80)\/35 + 0) - -3. Let t be (-6)\/30 - 17\/(-35). Which is the smallest value? (a) 5 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9250 at most as big as -9247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - p - 891, -2*a = -4*p + 324 + 552. Let w = a + 1106. What are the prime factors of w?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 17736.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23328?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(612)) + -1*(sqrt(612) + -1))**2 + 1 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 5, o: 1, g: 11}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (0 + -2)\/(8\/156). Let r = k - 34. Determine h so that 4 + 16*h**2 - 6*h**4 - 2*h**5 + 14*h + 4*h**r - 2*h**4 + 4*h**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from {m: 3, t: 1, v: 2, y: 3, n: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - v - 75, 0 = -2*p - v + 37 - 0. Suppose 0 = 4*u + 4 - 20. Suppose p = 4*y, 5*f + 75 = u*y + 29. Are f and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 149850?\nAnswer: 149850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13493?\nAnswer: 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2270*w**2 + 33?\nAnswer: 4540*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169845, -339414, -508997, -678600, -848229, -1017890, -1187589, -1357332?\n\"Answer: -s**3 - s**2 - 169559*s - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 119. Let h = 83 - -2. Calculate the remainder when h is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 2. Let s be h(12). Let p = s - 26. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 249.5 + -0.9952\nAnswer: 248.5048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820*i - 745*i + 62955 = -188*i - 67860 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2504 = -58*y + 50*y. Let p = 318 - y. Solve -4*z = p*c - 9*z, c - 4*z = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.674 + -28418?\nAnswer: -28413.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 2*r. Let z be r\/2 - 14\/(-4). Suppose 5 - 13 = x + 5*v, z*x - 41 = -2*v. Calculate the remainder when 33 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*s - 1 + (s + 2*s - 2*s)*(-2 + 4 - 4) + s - 2*s + 0*s)*(2*s + 0*s - s)*(248*s - 37*s - 83*s) to x*s**3 + a + p*s + l*s**2 and give x.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.13 less than 4046861254?\nAnswer: 4046861250.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 144181063267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + 17*r**2 + 8*r + 4. Let z be o(-5). Find the first derivative of 63 + 3*i**2 - z*i**2 + 14*i + 14*i**2 wrt i.\nAnswer: 6*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + 36*f + 5*f - 41*f + 2*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3457 by -60.\nAnswer: 3457\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(1700) + 0)**2 + (2*sqrt(1700))**2 + 4 + (sqrt(1700) - (4 + sqrt(1700) + -1)).\nAnswer: 34001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 10) + -19 - -57.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/936)\/((-9 - 208\/(-24))\/((-8)\/(-16))).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 g when three letters picked without replacement from {a: 3, h: 3, s: 1, g: 2, x: 1, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4741*k + 532934 = 852*k + 1153*k for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*q = -158*q + 210. What is the highest common divisor of 420 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1202 or -1261?\nAnswer: -1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 350, 2817, 9510, 22541, 44022, 76065, 120782, 180285?\n\"Answer: 352*x**3 + x**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqnkkabqaqqbq. What is prob of picking 1 a, 1 b, and 1 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + y**2 + 0*y**2 - 891*y**3 + y**2 - 3*y**2.\nAnswer: -891*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1081656\/24637 - -31373978393\/639576520. Let y = 3\/5192 - v. What is the common denominator of y and ((-6)\/20)\/((-18)\/51)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (178\/4005)\/((-2)\/3) + (-37)\/(-105). Which is the third smallest value? (a) -5\/2 (b) 1 (c) r (d) 8 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3777340*k**5 - k + 1738333 wrt k.\nAnswer: -75546800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*p - 360*p + 65 = m, -182*p = 4*m - 2528 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -20*q + 18*q. Let n be (1\/2)\/((-3)\/q). Put -3, -2\/5, n in ascending order.\nAnswer: -3, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640) - -2*(sqrt(640)*2 + sqrt(640))) + sqrt(640))\/(-1*sqrt(6050) + sqrt(50))*-5.\nAnswer: 32*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + k)*(1 + 2 + 3)*(3*k - 4*k + 3*k) to the form m*k**2 + o + p*k and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 565958 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.5065 meters in micrometers?\nAnswer: 98506500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 124?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 86.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -6.\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2080)\/(-1248))\/((-5)\/42)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110011111000100110001 (base 2) in base 8?\nAnswer: 36370461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4265 divided by 2\nAnswer: -4265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, 5, 8, 3, -8691, -2.\nAnswer: -8691, -2, 1, 3, 5, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, v: 2}. What is prob of picking 2 t and 2 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19*(-112)\/(-25004))\/2?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, -108388, 1 in descending order.\nAnswer: 3, 1, -19, -108388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 5*k**2 - k - 7. Let t(l) = -6*l**3 - 16*l**2 - 3*l - 22. Let d(r) = -2*t(r) + 7*w(r). Let i(f) = -f**2 - 1. Calculate d(p) - 5*i(p).\nAnswer: -2*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 2. Let r be d(4). Let a be 12\/28 + 60\/7 + r. Suppose 1 = 3*v - a. Solve v = o - 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28222*0.024\nAnswer: 677.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 9*g + 14. What is p(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10485 divided by -2097.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = -13. Let b = 15 + x. Solve 0 = -8*k + b*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 7. Let j = -27 + s. Let y = -12 - j. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.537 - -3.737. Which is the fourth smallest value? (a) 0.3 (b) 9 (c) -1\/4 (d) t (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n**2 + 33*n**2 - 77*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 12*b + 15. Suppose -146 = -5*g + 4*h, -g + 8*h + 38 = 5*h. What is the remainder when x(7) is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g**2 - 15*g**2 - 7*g**2 to the form k*g**2 + n + h*g and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 7 + 8. Let p(f) = -3*f**2 + 3*f - 5. Let w be p(4). Let l = w + 46. Solve -l*x + g = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 118*k + 81. Is m(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 + -11 + 22)) + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 - 1 + 4*y - 8*y + 3*y**2 - 2*y**2 as b + r*y + x*y**4 + p*y**2 + d*y**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.88 and -35204.\nAnswer: 523835.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + i**3\/6 - i**2\/2 + 17*i. Let y(h) = 5*h**2 + 3*h - 3. What is 3*v(r) - y(r)?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 266646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - d = 9, 4*m + 6*d = 4*d - 12. Let k(n) = n - 1. Let s(f) = -2*f**2 + 7*f - 5. Let b(t) = 6*k(t) - s(t). Is 10 a factor of b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (606\/(-808))\/(9\/108)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5880 and 8403900?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 12 - 8, 0 = 5*w - 5*f - 25. Let p be (w - 1)\/(144\/6). Is -0.1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 435 - 201 = 17*b. Let a(i) be the third derivative of -1\/735*i**7 + 0*i**4 + 1\/210*i**5 + 0*i + 0*i**3 + 0 + 7*i**2 + 0*i**b. Factor a(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 - (-5 + -14 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108880 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3 - 32. Let j = h + -1. What is the units digit of (j\/9 + 3)*-69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -194, -1\/3, 24\/17 in descending order.\nAnswer: 24\/17, -1\/3, -4\/3, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-30)*(5 - 0). Suppose 5 = 2*u + 47. Is k\/14 - 1413\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 13. Let x(y) = -y**3 + 9*y**2 - y - 7. Is x(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3)\/s**(-5))**(-45)*(s\/(s\/(s*s*s**(2\/5)))*s*s\/s**(-7\/5))\/(s\/(s\/s**6)*s*s*s\/(s**2*s)) assuming s is positive.\nAnswer: s**(-676\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.8? (a) 3 (b) -2\/23 (c) -3\/10 (d) -0.5 (e) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/((-120)\/4) - 5765\/(-3). Suppose -4*u + c = 2*g - 2362, 3*g = -u + 1061. What are the prime factors of u?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -25*d + 26*d. Suppose -d*t - 2 = 4*q, -6*q = -4*q + 6. Let v(k) = -k**3 + 12*k**2 - 6*k - 4. List the prime factors of v(t).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 - 2*r**2 - 12*r. Let z be l(6). Which is smaller: 3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from zawoauho?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/742)\/((20\/42)\/1)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351 - -441525?\nAnswer: 441134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84))\/sqrt(12) + -3.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4021 (base 6) to base 13.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2905054, 2905052, 2905050, 2905048, 2905046?\n\"Answer: -2*z + 2905056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5325180052.\nAnswer: 2, 821, 853, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(q - 4*q + 2*q + (0*q - q - 3*q)*(-374 + 196 + 194))*(33*q**2 - 4*q**2 + 7*q**2).\nAnswer: 4680*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 686 and 240296?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22438 (base 11) to base 5.\nAnswer: 2014334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -4. Let q = 8 + -1. Calculate the remainder when q is divided by t\/(-3*2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(324)\/sqrt(3))\/sqrt(6) + -4.\nAnswer: -9*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -1.8. Let h = 27 + -37.8. Let l = h - -11. Which is the closest to -1? (a) -5 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 65*l**2 - 21*l - 19. What is k(-1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w - 6. What is the units digit of s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*a**4 + 38*a**4 + 43*a**4 + 4*a**3 - 102*a**4 + (-3*a**2 + 4 - 4)*(-a**2 + 2*a**2 + 0*a**2) as w*a**3 + d*a**4 + l*a + h + r*a**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 23401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 19869 = -5998. Let k = -821 - r. What is the remainder when k is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 42 + 18*r)*(-3*r + 4*r + r).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/6 + l**3 + 4*l - 1. Suppose v(p) = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 236*u**3 + 234*u**2.\nAnswer: 2*u**2*(u + 1)*(u + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*s - 78 = 256*s. What is the smallest common multiple of s and 263?\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.48 - 9.29. Let d = k + -0.19. Let l = d - -5. Which is the closest to 1? (a) 2\/5 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 2053, 6976, 16591, 32470, 56185, 89308, 133411?\nAnswer: 190066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/240 + 3*h**5\/40 - 9*h**3 - 145*h**2. Factor r(p).\nAnswer: -(p - 6)**2*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -83*r**3 + r**2 + 228*r + 59. Let y(z) = 7*z**3 - 19*z - 5. What is 2*l(p) + 25*y(p)?\nAnswer: 9*p**3 + 2*p**2 - 19*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 33753*i - 25059150.\nAnswer: 3*(i - 699)*(i + 11950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1053027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -246 - -248. Calculate the common denominator of (-123)\/(-48) - (8 - f) and (-566)\/(-126) + 4\/14.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/15 - 19648*o\/15 - 789944 = 0. What is o?\nAnswer: -570, 10394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35025*x - 233 + 121 + 114.\nAnswer: -35025*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 34.99947. What is y rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(3\/10))\/n)\/(n\/n**(-2\/9)))**(-28))**7 assuming n is positive.\nAnswer: n**(8134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 192.8 and -580.\nAnswer: -387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76434 + 0?\nAnswer: -76434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-9) - (-112)\/(-126). Factor 0 - c - y*c**3 - 4\/3*c**2.\nAnswer: -c*(c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33\/4? (a) 0.1 (b) -3\/86 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 61, 106, 151, 196, 241?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1043 - -36512?\nAnswer: 35458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 15) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 1612091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048448274 to five decimal places.\nAnswer: -0.00484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4237475701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + (144\/(-32))\/((-15)\/40).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -694887?\nAnswer: -694887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 67447270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555517?\nAnswer: 43, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) -1\/24 (b) 3 (c) -4 (d) 5 (e) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7076\/11851?\nAnswer: -7076\/11851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*c**2 + 5*c**2 - 4*c**2)*(c + 4 - 4)*(-2 + 2 - 6) to the form r + f*c**2 + u*c + a*c**3 and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3 + 1080*d**2 - 194400*d + 11664000 = 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/(12\/(-72)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -688 - -699. Suppose 4*a - 9 = -3*n + 3*a, 0 = -5*a. Suppose n*d - 5*r - 24 = 8, 0 = 2*d + r - 17. Are p and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 157*1 + 20\/(-10). Suppose -6*n + n - x = 0. Let v = -18 - n. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16*x = -18*x + 23, -5*y - 2*x = -83. Solve -36 = 3*u - y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92317413 and 23079.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 36*y + 108. Let s be k(-3). Suppose s = -r + 32 - 34. Let v(g) = 3*g**2 + 4*g + 2. What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101302 (base 5) in base 2?\nAnswer: 110011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/43 equal to 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16 and -23\/1014.\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let u(v) = 10*v - 1. Let l be u(s). Suppose l + 21 = 2*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - -5) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 7\/2, 6, 63\/32?\nAnswer: 63\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*c + 3*c + 12, -2*c = 5*q - 55. Calculate the highest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997058591 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221758 divided by -4?\nAnswer: 610879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Let d(a) = -a**3 + 4*a**2 - a - 4. Let m be d(w). Let k = 50 + -50. Solve -m*g - s - 2 + 5 = k, 0 = 3*g + s - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -10. Let p(n) = 7*n**3 + 2*n**2 - 2*n + 5. Let m = 86 + -76. Let x(k) = k**2 + 0 + 0 + 3 + 4*k**3 - k. What is a*p(j) + m*x(j)?\nAnswer: -2*j**3 - 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 2*y**2 - 3*y - 2. Let g be n(-2). What is the third derivative of 0*v**2 + 3*v**2 - 9*v**3 + g*v**2 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05492 and -3.069?\nAnswer: -0.16854948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 59*z**2 - 104*z + 168. Is 18 a factor of d(57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4530, 4771, 5016, 5265, 5518?\n\"Answer: 2*a**2 + 235*a + 4293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15492?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2468669393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20213 - -20293. Let t(f) = 2*f**2 - 8*f - 2. What is the remainder when q is divided by t(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14550 - -5?\nAnswer: -14541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 655279.6kg in tonnes?\nAnswer: 655.2796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128797938 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3\/c)\/c)\/c**(4\/7))\/(c**(1\/2)*c**(1\/4)*c*c)*((c**(-1\/3)*c)**8)**(-16\/5) assuming c is positive.\nAnswer: c**(-8143\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 504808965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*w + 5*k - 2*k, -5*k = -3*w + 52. Suppose -j - 3 = -4*j. Let p be j + 25 + 4\/4. What is the highest common factor of p and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)\/k**(-2))\/((k*k**8)\/k*(k**(-8\/3)\/k)\/k) assuming k is positive.\nAnswer: k**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4371.796 to the nearest ten.\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 + 100*b + 2205. Does 9 divide u(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*14\/224 - (-21)\/8. Determine j so that -3\/4*j**z + 3*j + 0*j**2 + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 - (13 - (-3 - -19))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 33*x + 116 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -818 - -1240. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1241145163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 77948369 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40970, -80650, -120340, -160046, -199774, -239530?\nAnswer: -279320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 30 + 30 - 2*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((6 + 7)\/78)\/(1\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556111562 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*(592\/(-96))\/(-37))\/(12\/27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5920 is divided by 1179?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 35 + 2*h**4 + 65 - h - 31 + 2*h**3 - 3*h**4 to the form v*h**2 + f*h**4 + x*h + a*h**3 + k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqq when three letters picked without replacement from {x: 3, q: 13}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l)**(-2\/5)*l*l*l*(l\/((l**2\/l)\/l))\/l*((l*l*l**(-1\/2)*l)\/l)\/l assuming l is positive.\nAnswer: l**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.361 - -4.639. Suppose 0 = -4*x + x. Which is the nearest to x? (a) y (b) -1\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + f**2 - 14*f**2 - 11*f**2 in the form t*f**2 + y + j*f and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5682 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r - 300 = 0. Suppose -h = 5*d - r, -d = -2*d - 4*h - 7. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 587928, 1175856, 1763784?\n\"Answer: 587928*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 5*u**2 - 5*u + 5. Let n(g) = -g**3 - 4*g**2 + 4*g - 4. Give 4*i(r) + 5*n(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 - p - 2. Let t be j(-2). Suppose -164 = -3*d - y, t*d - y - y - 212 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20725 - -1.7814\nAnswer: -20723.2186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 22*w - 1254. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1011101?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/6064 and 63\/949936.\nAnswer: 360025744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, 2\/9, -0.5, 4, -29 in descending order.\nAnswer: 197, 4, 2\/9, -0.5, -29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2276560 and 37\/1576080.\nAnswer: 20489040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*a - 3149 - 4649 = 2447 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + -1*(sqrt(847) + 5 + sqrt(847) + 0 - (-4 + sqrt(847)*-1)**2).\nAnswer: 66*sqrt(7) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohlhhhnlhlhronnhnhxn. What is prob of sequence hnoh?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -10. Let b(a) = 5*a**2 + 5*a + 4. Is 17 a factor of b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/11 and 2\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(3 - 7\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3628, -3630, -3640, -3664, -3708, -3778, -3880?\n\"Answer: -f**3 + 2*f**2 - f - 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573 + 332. Let q = 241.1 + l. What is the closest to 7\/6 in 2, 4\/5, q?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*g - 20, 32 = -661*r + 656*r - 2*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 11. Let n(v) be the first derivative of v**2 - 19*v - 34. Let m be n(7). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**6 + 3*x**4 + 5*x**2 + 3*x. Let k(u) = -15*u**6 - 25*u**4 - 40*u**2 - 25*u. Let g(d) = 25*f(d) + 3*k(d). Find the third derivative of g(w) wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000880497 to 6 dps.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m - 1. Let z be l(2). Suppose -2*t - 16 = -4*y, z*t + 13 + 7 = 0. Factor -2 - j + 0*j**2 - 2*j**2 - j**4 + j**3 - j**2 + 6*j**y.\nAnswer: -(j - 2)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4868 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b87 - 2?\nAnswer: -2b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 414 (base 15) to base 12\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25327889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 + 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let d(x) = x**2 + x. Let j(r) = d(r) - u(r). Let n(s) = s + 7. Calculate j(n(c)).\nAnswer: c**2 + 14*c + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4597583, 18390192, 41377865, 73560596, 114938379, 165511208?\nAnswer: 225279077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -68081.291 to the nearest one hundred.\nAnswer: -68100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11000100111110101101 (base 2) to base 14\nAnswer: -170069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85\/79 - 9919\/4740. Find the common denominator of -23\/8 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8065, 8066, 8069, 8074?\n\"Answer: q**2 - 2*q + 8066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 3)*(-5*o**2 + 0*o**2 + 3*o**2 + (-3*o + 2*o - 3*o)*(-2*o + 4*o - 3*o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1615 or 1?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 6 = -9*w. Let c be w + (60 - (0 - 0)) + 3. Let p = -50 + c. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/4, -6, 12\/11, 0, -0.35?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018669 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116809184 and 29202296?\nAnswer: 116809184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-6)\/18 - (-232)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 = 5*q, 2*r - 6*q = -q - 11. What is the common denominator of (r - -2) + 50\/56 and -93\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/38033 or 0?\nAnswer: -2\/38033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 119*a + 114*a + 46, 18*o + 4*a - 250 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/86 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**7\/42 + 179*z**6\/12 + 2640*z**5 - 13500*z**4 - 2120*z**2. Determine d so that w(d) = 0.\nAnswer: -180, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -9. Let f be 0 - (-3*25 + k). Suppose h - 41 = f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 214\/(-2996)*7\/2*-52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 546.1 - 572. Let o = 25.96 + 0.04. Let s = m + o. Which is the third biggest value? (a) 3\/8 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + (-137 - -143) + -22\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12135 (base 10) to base 16.\nAnswer: -2f67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {u: 1, c: 10, z: 9}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 13. Calculate the smallest common multiple of m(-3) and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(612) - (sqrt(612) + -1)) + -1)*-3 - (((sqrt(1088) - (4 + 0 + sqrt(1088))) + sqrt(1088) + 5 + sqrt(1088) + 0)**2 + 1).\nAnswer: -4354 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3597)\/363)\/(1 + 1\/1) and -25\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*w - 45, -3*w - 15 = -2*i - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*k - h + 5, 3*k = -5*h + 25. Solve -5*j - 11 = 3*a, -a - 2*j = -k*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 16. Suppose 0 = c*k - 2*t - 4, -t + 10 = -3*k + 4*k. Let x = k - -14. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36590?\nAnswer: 2, 5, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18147094.\nAnswer: 2, 7, 37, 53, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**17)**(-4\/9))**(-4))**(-34) assuming h is positive.\nAnswer: h**(-9248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 45*a**3 + 25*a**2 - 32*a + 115. Is x(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let d(h) = -2*h**2. Determine d(a(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*o - 44 + 144, 5*q = 2*o + 108. Let a = o + 66. Calculate the remainder when a is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102022110211101 + 12?\nAnswer: 22102022110211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2*(-3)\/(-33)))\/(55*(-50)\/(-2750)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -2519*(10\/2 + -6)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and ((-64)\/(-40))\/((-2)\/(-5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5577*f**3 + 5654*f**3 - 21911*f**3.\nAnswer: -21834*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21623416, 86493654, 194610718, 345974608, 540585324, 778442866, 1059547234?\nAnswer: 1383898428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/5 - 1\/10*r**2 - 13\/10*r.\nAnswer: -(r + 2)*(r + 11)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16711922489 - 1.27\nAnswer: -16711922490.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23000389.\nAnswer: 193, 119173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*w = -471*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-39)\/9 - -4)*-15. Let o = -0.2 - -0.1. Suppose -4*h - 6 - 6 = 0. Which is the closest to o? (a) 2\/13 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126399 is divided by 12636.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -626.5666 to 1 dp.\nAnswer: -626.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -17, -22, -25, -26, -25?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-96)\/(-9)*((-11)\/(-2) - 4). Put 5, p, -1 in ascending order.\nAnswer: -1, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.081 + 0.081. Which is smaller: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)\/a**(-4\/7))\/(a**(2\/5))**(7\/3)*(a\/(a*a\/(a*(a\/a**(-1\/5))\/a)))**(-3\/5)*(a\/(a\/((a**0*a)\/a))*a)**(27\/2) assuming a is positive.\nAnswer: a**(6572\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = j - 67, -2*j - y + 0*y = -162. List the prime factors of j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12*((w\/w**(2\/25))\/w)\/w)\/(w\/(w*w*w**(1\/9)*w))**(-33) assuming w is positive.\nAnswer: w**(-4406\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 6. Give q(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/33 and -83\/210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 2058787 - 1029390 - 1029397.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33410*n**3 - 3*n**2 + 276724.\nAnswer: -100230*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24253 - 24833.96. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2389*j - 124049. Determine a(-52).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 66, 122, 194, 282?\n\"Answer: 8*w**2 + 16*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*j**2 - 2*j + j**2 + 2*j**2 to the form x*j**2 + v + r*j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1))\/(y*y*y\/y**(-2\/3)) assuming y is positive.\nAnswer: y**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/30*5*2\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.847 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 + 10042*w - 140637\/2.\nAnswer: (w - 7)*(w + 20091)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12827 is divided by 6411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 3117386.\nAnswer: 3117385.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.181 + -0.119. Let u = z - -19.223. Round u to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6638095 plus 7.9?\nAnswer: 8.5638095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1987470 by -153.\nAnswer: -12990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000033677375 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, n: 2, u: 1}. What is prob of picking 2 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + o = 22, -4*l - o - 2 = 39. Let f be 1 + -3*42\/l. Suppose -f = -g + 2*z, 2*g + 2*z + 0*z = 6. What is the highest common divisor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9418245322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556974 is divided by 2862.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -275c3?\nAnswer: 275c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 50483, -5, -27.\nAnswer: -27, -5, -3, 50483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81118524?\nAnswer: 2, 3, 19, 355783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000429256757 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2640127 litres to millilitres.\nAnswer: 264.0127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-2)*172\/387\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1 + 26 + -22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -131. What is the remainder when b is divided by 3\/(-12) + (-98)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f + 7*f - 8*f)*(83 + 553 + 450) as l*f + x and give l.\nAnswer: -6516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 - -2 - (-825 - -986)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 742 + -530. Let m(c) = c**3 + 7*c**2 + 5*c - 1. Let y be m(-6). Suppose g = 3*p + y. What is p rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265.38 + 264. Let f = -1.38 - m. Which is the closest to f? (a) -0.4 (b) -7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/4 + 40*d**2 - d\/4 - 40 = 0. What is d?\nAnswer: -160, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.97 + -48. Let z(x) = -x**2 - x + 1. Let n be z(2). What is the nearest to d in -1, 1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/17, -2, -4, 0.1 in decreasing order.\nAnswer: 0.1, -3\/17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/25, -11, -3, 50, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(2\/19)*q)\/q)**(-26)\/(q**(-1\/33)\/q**22) assuming q is positive.\nAnswer: q**(-4205\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -732*f**2 - 731*f**2 - 82*f - 730*f**2 + 2417*f + 2195*f**2 as v*f + w + z*f**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1659043 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 820257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/4 + 7*x**3 - 9*x**2 - 40*x + 11. Let v be m(20). What is the closest to 2\/3 in 3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 84*x**2 - 118*x + 2874. Determine b(83).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 9*y - 17. Give j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1646 + 1645. Sort f, 0, 1, -3.\nAnswer: -3, f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498178265 to the nearest integer?\nAnswer: 38706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (42 + -39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 103641?\nAnswer: 103641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/84 - (-9)\/(324\/24). What is the nearest to 0.2 in y, -5, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 9*v - 4. Let f be x(7). Let t = 5 - f. What is the tens digit of -1 - 1 - (-36 + t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:10 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 9:17 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -71*j**7\/210 + j**4\/6 - 7*j**3\/3 - 305*j**2. Find the second derivative of u(a) wrt a.\nAnswer: -852*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337abb0 (base 12) to base 2.\nAnswer: 100101101001010100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbndvdnnn. Give prob of sequence ndv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14321040 (base 5) in base 12?\nAnswer: 73743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 4305*b + 294750.\nAnswer: 5*(b - 786)*(b - 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.11 (b) -0.5 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 9:48 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + -21. Let p = y + 62. Calculate the common denominator of p and -21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154353942, 308707876, 463061810, 617415744, 771769678?\nAnswer: 926123612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - u - 48. Let y(o) = -o**3 - 7*o**2 + 9*o + 12. Let n be y(u). Suppose 101 - 261 = -n*h. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31603567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29216073*y**3 + 2332200.\nAnswer: -87648219*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 32193981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 75836 - 153536 = -9*z. List the prime factors of z.\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.01 + -9.8. Round n to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180*u**2 + u + 293?\nAnswer: 360*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n - 146 + 1622. Suppose -563 + 173 = -5*m. Let x = n - m. Solve 0*d + x = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 22)*(2 + 2 - 2)*(-u - 2 + 2).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(2100)*-1 - sqrt(2100)) + sqrt(2100) - sqrt(2100)))\/((1*sqrt(75) - sqrt(75)) + ((sqrt(96)\/sqrt(4))\/sqrt(8) - sqrt(3)) + sqrt(3)).\nAnswer: 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzs when three letters picked without replacement from {z: 3, s: 1, b: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 17, 5, -17, 125, 7, 3 in descending order.\nAnswer: 125, 17, 7, 6, 5, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = 1. Let s = 0 - l. Let c = 0.5 + -1. What is the closest to -2 in -3\/4, c, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 + 2*z**3 - 7*z**2\/2 - 9*z - 1. Let y(g) = 24*g - 118 - 40*g + 13*g. Let u be y(-37). What is s(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 750*w**3 - 2*w**2 - 31*w + 185406.\nAnswer: 2250*w**2 - 4*w - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -63, -95, -125, -153?\n\"Answer: j**2 - 37*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3. Suppose -p*t + 60 = 15. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77134383.9 to the nearest 100000.\nAnswer: 77100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 4*d - 22. Let x be w(8). What are the prime factors of (487*2\/10)\/(2\/x)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.038 or -81.49?\nAnswer: -81.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10538798, 10538762, 10538736, 10538726, 10538738, 10538778, 10538852?\n\"Answer: m**3 - m**2 - 40*m + 10538838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 - 18 + y - 3*y)*(0 + 2 + 13) as o*y + l and give l.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 + 1. Let u be y(1). Let p = u + 1. Let r = -0.491831 - 0.008169. Sort 0.3, p, r in descending order.\nAnswer: 0.3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {m: 1, j: 4, p: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11011110010101000000111?\nAnswer: 11011110010101000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 564, 1302, 2316, 3594, 5124, 6894, 8892?\nAnswer: 11106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g. Let w(n) = 1550*n + 4 - 1536*n - 4. What is v(w(p))?\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 12. Suppose -3*p + 23 = 4*m, -3*m - 2*m - 10 = -f*p. Calculate the lowest common multiple of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(((sqrt(180) + 1 - sqrt(180)) + -5 + sqrt(180) + -1)**2 + -2).\nAnswer: -207 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1052778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1942*b + 657 = 2161*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*r - 179*r - 3936 = 113*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**6\/60 - 49*f**3\/6 + 4*f - 1. Let b(u) be the second derivative of x(u). Let y(a) = -18*a**2. Give y(b(q)).\nAnswer: -648*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16086*q. Let n(f) = 262*f - 2. Give n(u(b)).\nAnswer: 4214532*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 98, 87, 76, 65?\n\"Answer: -11*h + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196 - 1914 = -169*b + 777. Calculate the remainder when 247 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 divided by 77?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d + t + 11, 28 = 4*d + 3*t. Suppose 4*l + 4*k = 5*k + 629, -l + d*k + 176 = 0. What is the remainder when l is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/45 and 38\/295.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000875725036 rounded to seven decimal places?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/15*-3 - (-65)\/25. Suppose -3*l = b*i - 9, 5*i + 1 - 4 = l. Determine u, given that u**5 - 3*u**4 + l*u**3 + 2*u**2 + 9 + u + 0*u - 8 - 4*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:13 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - l + 121 = -53, 74*g - 144*l = 77*g + 39 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -1, 0.112, -0.03, -6\/7?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g - 7*g - 28*g + 1 - 15*g.\nAnswer: -38*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 10 = 15*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -0*p - 624. What is the remainder when 48 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23152 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*c**2 + 384*c.\nAnswer: -718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2. Let x(n) be the second derivative of 0*n**2 + 1\/6*n**4 + 5*n + 0*n**3 + 0. What is f(x(w))?\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*i = -1077*i - 216 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -81. What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110110 + 10001111101?\nAnswer: 11000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 minus -0.0018026326?\nAnswer: 1083.0018026326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {u: 1, n: 4, p: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/14 - 6736\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 201\/7*r + 8\/7*r**5 + 10\/7*r**4 - 28*r**2 - 36\/7 - 131\/7*r**3 = 0. What is r?\nAnswer: -3, 1\/4, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, u: 1, e: 4, z: 2, a: 6}. Give prob of sequence ay.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 1028 - 1028.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 16. Let x = -14 - p. Let v = 35.0315 - 0.0315. Is x at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/9347 + 9935876\/46735. Let k = -214 + r. Is k greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 - 912*g\/7 - 18772\/7.\nAnswer: 4*(g - 247)*(g + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 11*x + 2. Let a be w(-1). Solve -4*g + 6 = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:42 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -8912, -2\/9, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) -84136 (c) 7 (d) -5 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1329 - 1325.966. What is r rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5690 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(21)\/sqrt(3)*1)**2 - 6*(1*sqrt(84))\/sqrt(12).\nAnswer: -10*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 - 48 = j - 2*d, -3*j + 2*d = -686. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -58. Suppose -2 = 7*s - h. Let d(o) = o**2 - o. Let i(k) = -4*k**2 - 7*k - 25. Let z(b) = s*i(b) + 3*d(b). Suppose z(j) = 0. Calculate j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -148*m**3 + 6*m**2 - 4*m - 5. Let j = -2 + -3. Let a be b(j). Suppose -a = -r + 19335. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/77)\/(35\/(-55))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6644*d + 6848*d + 3876 = 0 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(10\/3))\/(18\/96).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-974*u - 1919*u - 4063*u)*(u - 5*u + u).\nAnswer: 20868*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + -2.97. Let l = -3.3 - -3. Let y = l + -3.7. What is the smallest value in o, 1\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - sqrt(10)\/sqrt(2) - sqrt(5)) + 3.\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.06 - -0.06. Let w = 6 + b. Let l = 2.3 - 0.3. What is the closest to -0.1 in l, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 10*g**2 - 15*g + 135. What is c(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8447641 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-16)\/168)\/(70\/525)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 43, 69, 97, 127, 159, 193?\n\"Answer: i**2 + 21*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/4 - 18\/(-72). Let m = -350 + 349.5. Which is the nearest to 1? (a) 2 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1250 and 12\/10135?\nAnswer: 2533750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 + 0\/(-2). Let d(c) = 2*c**2 - c + 3. Let h be d(o). List the prime factors of (-2)\/3 + 654\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1062, -4153, -9304, -16515, -25786?\n\"Answer: -1030*o**2 - o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-3\/10)*u))**(-20)*u*u**(-15)*u*u**(-2\/41) assuming u is positive.\nAnswer: u**(-781\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 6*j - r, -4*j - 2*j - 5*r = -11*j - 35 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from nvvenssnkssvsvv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibhc when four letters picked without replacement from {i: 1, d: 2, x: 1, h: 2, b: 7, c: 6}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.95803 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -66e?\nAnswer: -66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) - (sqrt(1700) + -1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 56 = 2*p, 4*p + 182 = -p - 3*q. Suppose -2*z - z - 5*r + 193 = 0, 3*z = -r + 209. Let o = p + z. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(78) + sqrt(78))\/sqrt(6).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/(v**(-4\/3)*v*v))**(-14\/3) assuming v is positive.\nAnswer: v**(196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 435119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*r - 3)*(3 + 2 - 3) - 7*r + r + r + 42 - 10*r - 42.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16148220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 3040?\nAnswer: -303a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-72) + (-983)\/(-24). Sort -0.1, 0.3, 2, p.\nAnswer: -0.1, 0.3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 + 38*b**2 - 14. Let p(o) = o**3 - 13*o**2 + 5. Let q(y) = 5*l(y) + 14*p(y). Find the third derivative of q(h) wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 0*p**2 - p**2 + 0*p**2 + p**2 + 2*p**2 + (-2*p + 2 - 2)*(2*p + 4 - 4))*(4 - 4 - 7) in the form u*p**2 + c*p + g and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 36*j + 7 = -35*j, 9 = -b + 3*j for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 5*m = -24. Let d(q) = q**3 + 6*q**2 - 5*q + 5. Let c be d(-7). Let r = c - m. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*9\/135)\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 296 = -3*n, -n + 4*n + 5*l - 266 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225, -2448, -3669, -4888?\nAnswer: -6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + sqrt(68)\/(sqrt(28)\/sqrt(7))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3981*b + 224 = -4*n + 3989*b, 0 = -2*n - 2*b + 62 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27364794, 54729586, 82094378, 109459170, 136823962, 164188754?\nAnswer: 191553546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*c**2 + 527 + 67*c**2 - 524 + 104*c**2 as t + k*c + q*c**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 3625*b - 379810. Determine m(-102).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001111111011000 (base 2) in base 9?\nAnswer: 2540041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 10*v - 1. Let i(p) = p**2 - 3*p. Let s(z) = -2*a(z) + 7*i(z). Let x = -3 - -3. Let n be s(x). Solve n = -3*h - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/360 - t**5\/120 + t**4\/12 + 65*t**3\/6 + 52*t**2. Let a(i) be the first derivative of d(i). What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 + h**2\/2 - 74*h - 924. Determine z(0).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - -164. Solve 5*s - 10 = 9*x - a*x, 35 = 4*s + 5*x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 125 = 5*c, -c + 2*c - 241 = -2*s. Let b be (496\/s - -5) + (-2)\/15. Let k(f) = f**2 - 9*f + 2. Determine k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:08 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3870 and 8772.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -3*q. Suppose 3*d = 5*k + 2, 3*k - 4*d + 9 + q = 0. Let j(h) = 6 - h - k*h + 4*h. Determine j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Calculate the remainder when 54 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*z + h - 16, 28 = 3*z + h. Suppose 2*c - 3*q + z = 3*c, -5*c - 3*q = -7. What is the units digit of (3\/(-6))\/(c\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*-3)\/(46\/(-184)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.79 and 3?\nAnswer: -5.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 11:17 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f + 13. Calculate the remainder when u(3) is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293 and 237330.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1951025 litres in millilitres?\nAnswer: 195.1025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424 and 6573144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 49*o**2 + 2*o + 7*o**3 - 9*o**3.\nAnswer: -2*o**3 - 49*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 14*i**2 + 39*i + 56. Let j = -10 - -29. What is the remainder when q(-9) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wttw when four letters picked without replacement from autuaataw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2594219 is divided by 501?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111974 equal to 111972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1348, 2\/3, 2, 0.5, 5 in decreasing order.\nAnswer: 5, 2, 1.1348, 2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:11 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, s: 1, u: 5, z: 2, i: 4}. What is prob of picking 1 u, 1 z, and 1 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 6776\/(-16). What is the common denominator of -57\/5 and (4\/84)\/(3\/o)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79743, -79760, -79787, -79824?\nAnswer: -79871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a - 4. Let s(u) = -u. Let d(v) = n(v) + 4*s(v). Let l be d(3). Do l and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 times 9.394?\nAnswer: 1127.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + 2*k + 74 = 0, -4*u + 50 = 3*k. Let b = u + 22. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.024 and -91.306.\nAnswer: -2.191344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90\/19*k**4 - 74\/19*k**3 - 80\/19*k + 244\/19*k**2 + 0 = 0. Calculate k.\nAnswer: -20\/9, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/180*25)\/((-30)\/45)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100101100010 (base 2) in base 3?\nAnswer: 10000221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18935137*m**4 + 3230975 wrt m?\nAnswer: -75740548*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128.8 + -4.\nAnswer: 124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64 + 52 + 29 + 51 + 158*o wrt o?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84400.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.76 - 42.76. What is the nearest to x in 2, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - q + 2*q + 13 = 0, 0 = -4*q - 12. Solve -a*p - 16 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6137, 12273, 18409, 24545, 30681, 36817?\n\"Answer: 6136*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 3*h**3 + 4*h**3 - 2*h**3 - h**2 + h**2 + (2 - 4 + 0)*(-2*h**3 + 1 - 1) as a*h + r*h**2 + w + y*h**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.178 + 0.178. Which is the nearest to 0? (a) h (b) -2\/17 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n + 5 = 5*s, 3*n - 4*s - 53 = 0. Suppose m + 4*m = 5*l - 125, 0 = 4*l - 5*m - 95. What is the greatest common divisor of l and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350011737.\nAnswer: 3, 113, 344161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6496650 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/38 and -23\/19114.\nAnswer: 19114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -44. Solve -17 = -3*c + z*d, -3*d + 2*d = 3*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/15*10\/(-4). Suppose -w = -3*w + t, -m + 4 = 4*w. Suppose -2*y + 46 = -m*y + 3*a, -2*a = -8. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4485*w**2 + 4498*w**2 - 8956*w**2.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -57*u**2 - 73*u + 25. Give t(-4).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1049, 1044, 1039, 1034?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*i - 7, i + 2 = -p - 1. Let x be ((-18)\/p + -4)*170. Let q be (1\/1)\/(1\/17). What is the highest common factor of q and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62306534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8098 and 28343?\nAnswer: 56686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 400312193 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 + k. Let d(u) = 14*u**3 + 6*u**2 - 5*u. Let w = -1658 + 1657. What is w*d(a) - 5*j(a)?\nAnswer: -9*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(16\/3)*c))\/c**25*c**(-2\/19)\/(c*(c\/((c\/((c\/((c\/(c**(-9\/4)\/c))\/c))\/c))\/c))\/c) assuming c is positive.\nAnswer: c**(-6427\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**2 + 4*f**2)*(2 + 5 - 3)*(19 - 19 + 24*f).\nAnswer: 192*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -944, -1385, -1812, -2219, -2600?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78740719\/32588 - 9\/8147. Suppose -2*a + 9592 = 2*a. Let i = d + a. What is the common denominator of -79\/44 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 71, -4 in descending order.\nAnswer: 71, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239 - -240. What is the nearest to i in -1\/4, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = s - 3*s, -2*s = -2*t. Let d be 1\/t + (-1640)\/60. What is the units digit of 36\/d*30\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.31 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13320 (base 6) to base 14.\nAnswer: -a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 4 + 16*f**2.\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1210, 4857, 10936, 19447, 30390, 43765?\nAnswer: 59572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-12))\/((-2)\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6*c - 72 = 0. Suppose 30 = -4*f - 3*d + 6, 4*f = -d - 16. List the prime factors of f\/c + 7\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/(-1)*63\/(-7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -a - 2*a - 2403, q + a - 487 = 0. List the prime factors of q.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6901810 divided by 2\nAnswer: -3450905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -153324, -306655, -460000, -613365, -766756?\n\"Answer: -b**3 - b**2 - 153321*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x + 230 = 0. Calculate the least common multiple of x and (42\/(-77))\/((-7)\/77).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -374 + 194. Let t = q - -192. What is the remainder when 53 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 2*b + 4*b - 6*b - 2*b + 17393.\nAnswer: -7*b + 17393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 408090*m**2*o - 7*m**2 + 1725 wrt o?\nAnswer: 408090*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1363 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.332 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3331363 micrograms?\nAnswer: 0.0000003331363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2455 or 2454?\nAnswer: 2454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 39*n - 155. Let t be -2*3*35\/(-42). What is the least common multiple of 25 and y(t)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249656 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0778 + 0.5978. Let j = -0.095 - 0.447. Let q = z + j. What is q rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w + 14. Let v(a) = -a + 1. Let l be v(-1). Let k = l + 2. Calculate the remainder when w is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*47\/141*-6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 96350*n**2 + 96349*n = 0. What is n?\nAnswer: 0, 1, 96349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 12*i**4 - 453*i**3 - 105894*i**2 - 2777757*i - 687828 = 0.\nAnswer: -43, -1\/4, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 7. Let h be 3\/((d\/(-5))\/(-2)). Solve 4*r - r - h = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1474 = 50*b - 49*b. Suppose -3*r + b = 295. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 9. Suppose r*h - 3 = -0, -5*t = -2*h - 183. Let z = t - 7. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*l**3 + 0*l**3 - 23*l**3)*(39 - 134*l + 275*l - 140*l).\nAnswer: -34*l**4 - 1326*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231567 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/120 + b**5\/60 - b**4\/24 + 2*b**3\/3 - 8*b**2. Let t(o) = -o**3 + 4*o**2 + 13*o - 9. Let m be t(6). Give k(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53\/6 in 5, 3, -2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4832046867 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/5, -15, 0.3, 5\/6 in increasing order.\nAnswer: -15, 0.3, 1\/3, 2\/5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -105489.99 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuum when four letters picked without replacement from {m: 6, t: 3, a: 2, u: 3, v: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*w - 2, -3*o = -640*w + 642*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-60)*2\/8. Let i(h) be the third derivative of 1\/24*h**3 - 1\/140*h**7 + 0*h - c*h**5 + h**2 + 0 + 1\/96*h**4 - 13\/480*h**6. What is z in i(z) = 0?\nAnswer: -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -24) + (-46)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375) - (-1*sqrt(375) + sqrt(375))*6)\/((2*sqrt(5445) + sqrt(45))\/sqrt(9)).\nAnswer: 5*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 64*m**2 - 848*m + 1920.\nAnswer: 4*(m - 24)*(m - 2)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*v + 63 + 49 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = 5*z, -z = -3*b - 3*z + 17. Let t(d) = -3 + b - 2. Let i = -6 + 4. Let c(x) = x + 2. Calculate i*c(o) + 3*t(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2479876, -2479878, -2479880, -2479882, -2479884?\nAnswer: -2479886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -27. Suppose -4*c - 4 = -4*d, 4*d + 14 - 54 = -5*c. Solve -d = -4*y - v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 603876280 divided by -868?\nAnswer: -695710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - -84. Let d = j + -159. Let p = 4 - 8. Is p bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 33*r + 104. Let i(y) be the first derivative of 0*y - r*y**2 + 17 - 4\/3*y**3. Factor i(u).\nAnswer: -4*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 9*z - 10*z + 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -24. What is the tens digit of 110\/25*l\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 214?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.095? (a) 4 (b) 43\/2 (c) -4 (d) 1\/4 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19945095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -5*o - 4*g, 4*o - 5*g - 117 - 23 = 0. Let v = o - 52. Let i be -22 + 24 + (v - -1). Is i bigger than -17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29221555 or 29221553?\nAnswer: 29221555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -232121 take away 44700?\nAnswer: -276821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (29 + (0 - 20) - (0 + 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4010 - 160 = 0. Let u = 8413\/6 - l. Calculate the common denominator of 29\/18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1384878876 - -1384882578.0000064. Let l = 3689 - c. Let o = l + 13. Round o to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + (-165)\/(-11))\/18. What is the nearest to -1\/4 in s, 0.06, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -204 + 411 - 6*l - 2*l - 195 - 2*l in the form g*l + m and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4616 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -128 (c) -5\/2 (d) 0.04 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (8 - 17) + (6 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329991, 330525, 331973, 334791, 339435, 346361?\nAnswer: 356025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 = 25722*o - 25693*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:56 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:42 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 84 in ascending order.\nAnswer: -3, 4, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2929801 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 4) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 16*m - 93. Let h(y) = y**2 + y - 15. What is -6*h(n) + j(n)?\nAnswer: -8*n**2 + 10*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -557.8 - 0.1?\nAnswer: -557.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 f when four letters picked without replacement from smsrsfrmssms?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j + 136*j**2 - 42*j**2 - 45*j**2 - 53*j**2 in the form x + v*j + m*j**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1861\nAnswer: 5\/1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -7.7. Let l = 1675.6 - 1658.6. Which is the nearest to l? (a) s (b) -3 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*z - 128*z + 35837 = 2903 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 6, e: 5, g: 3}. Give prob of sequence hae.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17250565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*a - 0*a - 4*q, 4*a - 2*q - 34 = 0. Solve 2*f + a*o - 10*o = 12, 21 = f - 4*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/16)\/(1\/(-4)). What is the closest to 2\/5 in 2, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-682)\/1210 + 8\/22.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -836 + 839. Suppose 2*m + 897 = q, -100*q - i*m + 3566 = -96*q. Calculate the greatest common factor of 47 and q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 211337 = -1225452 + 119975. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 - 17*y - 2. Let c be r(-2). Solve -s = c*p - 15, 3 + 2 = 2*p + 3*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brp when three letters picked without replacement from pbrppbrrbpb?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 295.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from ceceeemcmccm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 10 - 178. Factor -4*u**3 - 2341*u**5 - 19*u**3 + 2340*u**5 - 12*u + b*u**2 + 8*u**4.\nAnswer: -u*(u - 3)*(u - 2)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2579*c - 20694. Let j be x(8). Let r(g) = -g**3 - 7*g**2 - 8*g - 9. Let i be r(-6). Solve i*t - t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 29. Let m be v(-12). Solve 3*g + m = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*(c\/(c\/(((c**2*c)\/c)\/c)))\/c*c*c)\/c)\/c*c*c**(-1\/4))\/(c**1)**(-32) assuming c is positive.\nAnswer: c**(139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/7 - 3*i\/7 - 2\/7.\nAnswer: -(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6250 divided by 3.\nAnswer: -6250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*f + 5*f - 35 = 0, -f = 5. Suppose -13 = 4*l - v, 5 = -3*l + 5*v - i. Let m = 9 + -10. Which is the nearest to m? (a) -4 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3762 and 670.\nAnswer: 1260270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 80065620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 - 2*u - 5. Let l be (-6)\/(-15) + (-66)\/15. Let x be j(l). Factor 7\/4*z - 1\/2 + 3\/4*z**x - 2*z**2.\nAnswer: (z - 1)**2*(3*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 - 453*q + 1997. Calculate i(60).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:33 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-30)\/40)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (104 - 2)\/(-3) - 1. Let f = -15 - l. Let p be 20\/3 + 4\/(-6). Solve i - p*i + f = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34074098 is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:27 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28607, -57212, -85817, -114422, -143027, -171632?\n\"Answer: -28605*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 86*(-2)\/(-1)*(-103 - -107)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 4*h - 1383761525*h**2 + 3*h + 4*h + 1383761528*h**2.\nAnswer: 3*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 5*c - 2 = 0, 2*c = 5*z + 79. Let m = z + 17. Let x(h) = -2*h**m + 92 - 92. Let d(i) = -2*i**2. Determine x(d(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4, 289 in increasing order.\nAnswer: -4, 1, 4, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2621*q**3 - 18347*q**2 - 55041*q + 73388. Let s(y) = -y**2 - 3*y + 4. Determine a(w) - 18347*s(w).\nAnswer: -2621*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0 - 34*c + 1\/3*c**4 - 16\/3*c**3 + 30*c**2. Factor m(l).\nAnswer: 4*(l - 5)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 122*a - 129*a. What is the greatest common divisor of 3460 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (304\/24)\/(-19)*(-1 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55545, 1, -108 in decreasing order.\nAnswer: 55545, 1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r - r + 0*r)*(4*r**2 + r**2 - 4*r**2) + 30*r**3 - 25*r**3 + 22*r**3)*(-4*r**2 + 2 - 2).\nAnswer: -100*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(171) + sqrt(171) + 2*sqrt(171)*-6)\/(sqrt(54)\/(sqrt(6)*1) - 4*sqrt(9)*2).\nAnswer: 16*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 6) + -3 + (5 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*y - 1231 = 384. Let s = 0.8 - 0.4. What is the nearest to y in 1\/3, 1\/12, s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.5 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -47 - 33 - (14 - 46)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 1. Let g(d) = 4*d**2 - 12*d + 1. Let q(n) = -5*a(n) - g(n). Determine q(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4 + 1 - 7 + o**2 - 2*o. Let k be 4\/5*45\/(-18). Calculate h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -14*z + 153. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 8. Let r be a(-4). Solve -r*l = -3 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, -3\/5, -714, 7\/15?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*m + 9029, 0 = 3*m + 4*c - 8*c - 8993. Suppose -1157*f - m = -1160*f. What are the prime factors of f?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 4 (c) -1\/4 (d) -3\/4 (e) 21 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*l - 7, 0 = 4*l - 6*x + x - 35. Sort -3, -72, l.\nAnswer: -72, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a - 25 = 0, 3*p + 2*a = -a + 15. Suppose j + 5*l + 17740 = -3*j, p*j - 4*l = -22216. Round j to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((2 - 1) + 1899996). What is x rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 18*s**2 + 33*s - 2. Let g be b(16). Let y be (36\/(-594))\/(4\/6). What is the smallest value in g, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -66) + 4 + -36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2998.\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*l - 2*l. Solve -4*q - l = -4*g - 2*q, 5*g + 3*q - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -195, -185, -159, -111?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-22976.\nAnswer: 114880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-420)*-6)\/(14 + 1386\/(-98)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -40*y - 4 + 35*y - 7. What is the tens digit of t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -4\/9, -35.38, -9, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841 is divided by 568.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 524 - 391. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*s + 2 = -18, 3*s + 17 = 4*t. What is the smallest common multiple of 1138 and t?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*508\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 42199995 = 2*f - v, -2*f + v + 42200005 = 0. What is f rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143\/(-130) - (1 - (-16)\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 287. Is o(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 + 40*q**4 + 25*q**3 - 310*q**2 - 660*q - 360 = 0 for q.\nAnswer: -6, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s - 15 = 0. Let d be 7*(s + (-21)\/(-3)). Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 12, -x - u = -2 - 4. Let o(m) = -3*m**3 - 4*m**2 + 2*m**3 - 4*m**x + 6 + 7*m. Does 12 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -58. Let y be 0 - (1 - u) - -1. Which is the third biggest value? (a) 0.2 (b) -2\/5 (c) -3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - b. Let d(u) = u**2 - 8*u - 8. Let c be d(9). Let j(t) = t**2 + t. Calculate c*j(a) + o(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**1)**3*(j*j\/(j\/(((j\/(((j*j\/j**0)\/j)\/j))\/j*j*j)\/j)))**(-2\/25))**(-2\/3) assuming j is positive.\nAnswer: j**(-292\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172444\/1505 - 802\/7. Suppose 0 = 2*b - 3*p - 1 - 0, -4*b - 6 = 2*p. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**3*x**2*z - 100*s**3*x*z + 12*s**3*z**2 - 70*s**2*x**2*z + 44*s**2*x*z**2 + s*x*z**2 + 3*x**2*z wrt s.\nAnswer: 18*x**2*z - 600*x*z + 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 10:53 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156266.\nAnswer: 2, 7, 29, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33065, -66188, -99309, -132428, -165545, -198660, -231773?\nAnswer: -264884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001100101110100 + 11?\nAnswer: 101111001100101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3256\/(-518) + (3 - 1)*14\/4.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let t(o) = -2*o**2 - 9*o - 9. Let n be 0\/(-5)*(-2)\/(-4). Let a(g) = -4*g - g**2 - 5 + n*g + 1. Let b(c) = -9*a(c) + 4*t(c). What is v(b(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 + 2*n - 7. Give y(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -2 (c) -6 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12482868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 1, e: 2, c: 1, i: 1, f: 1}. Give prob of picking 1 t and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from suuuooujx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -39*w**3 + 5*w**2 - 439. Let j(a) = -9*a**3 + a**2 - 110. Give 9*j(q) - 2*o(q).\nAnswer: -3*q**3 - q**2 - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is bc4 (base 14) in base 13?\nAnswer: 10a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3*f - 3*f)*(2 - 2 + f) + (-12*f - 9*f + 4*f)*(f + 4*f - 6*f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 2*i + 11. Let v(h) = h**2 + h - 1. Let f(q) = -r(q) - 3*v(q). Suppose -u + 32 = 3*u. What is the units digit of f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(17 - -82)*(-642215)\/13. Let w = 1497 - p. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/13 - 4*p**4\/13 - 40*p**3\/13 + 16*p**2\/13 + 256*p\/13 + 256\/13.\nAnswer: 2*(p - 4)**2*(p + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 + -166.63. Let j = q + -0.27. What is the third smallest value in -0.4, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -1. Which is smaller: -59 or o?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -14 + 13 - 2177*w + w**2 - 2*w**2 + 2179*w + 2*w**3. Calculate p(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 + (-24)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m*m*m**0)\/m*m)*(m\/(m**(-4\/9)*m))\/m)\/(m\/(m\/m**0)*m*m\/((m\/(m*m*m**1))\/m)))**(2\/87) assuming m is positive.\nAnswer: m**(-136\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/11)\/w)*w**15)\/(w\/(w\/w**(-1)))**35 assuming w is positive.\nAnswer: w**(573\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + 40\/(-12). Let l(v) = 20*v**2 - 9*v + 11. Let o(c) = -7*c**2 + 3*c - 4. Let a(r) = h*l(r) - 11*o(r). Find the second derivative of a(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4047000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.85 (b) -3 (c) 262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 9*h - 5 = 0. Let p(z) = 4*z**2 - 3*z - 6. Let d(s) = -9*s**2 + 6*s + 13. Let c(y) = -3*d(y) - 7*p(y). What is c(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x - 16. Let n(f) = -4*f + 5. What is -16*n(g) - 5*t(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlxl when four letters picked without replacement from {x: 4, q: 2, l: 6, p: 3, b: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3164 divided by 3164?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2. Suppose -5*o + 1 = -24. Let v(c) = o*c**2 - 3*c**2 - 3*c**2. Calculate v(p(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8 + 6*t - 2 + 4*t**2 + 8 - t**3. Let g be y(5). Let f be (2 - 8\/g) + 0. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1124*v - 1. Let x(r) = 3356*r + 2. Calculate -14*o(n) - 5*x(n).\nAnswer: -1044*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - 4*t, -2 = 2*q - 0*t + 3*t. Suppose -16 = 4*h + 4*x, -5*h + 4*x = -16 - 9. Suppose -q*w + 5 = -h. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*16\/8. Suppose 17 = 3*b + h, 4*h + 2 = 3*b - c. Let g = 168 - 113. What is the highest common divisor of b and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234130 (base 5) in base 12?\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84020 = -3*j + r - 5*r, -5*r = 5*j - 140025. Round j to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 5*h - 229. Give p(0).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22\/13 - 24\/13*k - 2\/13*k**2 = 0 for k.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 2*b**2 + 3*b - 28. Give h(-5).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 64, 156, 284, 448?\n\"Answer: 18*p**2 + 2*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 11. Let f(m) = -1120*m**3 - 6*m**2 - 79*m - 61. Let k(q) = -f(q) - 5*s(q). What is the second derivative of k(w) wrt w?\nAnswer: 6720*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -36. Suppose w*l - 56 = 7*l. Let h(z) = 2*z**2 + 5*z - 12. What is the units digit of h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*x. Suppose 11 = x*u + 1. Solve 0 = -2*y + u*g + 5, -14 = 4*y - 4*g + 2*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 1. Suppose 2*y - 6*y + 12 = 0. Let x be z(y). Let d(s) = -s**2 - 6*s + 3. What is the units digit of d(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1685. Let y(o) = -o**3 - 10*o**2 + 10*o - 11. Let f be y(-11). Suppose 0 = -5*t + 5*z, 3*t + f*z = -5*z. Is k(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3058 and 55726.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(39)*-5) + sqrt(39))\/sqrt(3) + (sqrt(117))**2 + 3.\nAnswer: 7*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 4, -0.4, 4.1, -65, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 40 = 5*f, 275*f + 26 = q + 271*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 51*z - 1899. Determine h(37).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1991 = b - 3*o, -5*b + 2*o = 2487. Let r = b + 498. Which is smaller: 1\/12 or r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 8 = -4*t + 2*d, -4*d = -5*t + 10. Suppose t*g - s - 6 = g, 2*g + s = 3. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15*10\/(-2))\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532316?\nAnswer: 2, 73, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.6722431 and -0.3?\nAnswer: -1.10167293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - s + 13 = -17*v - 2*v, 2 = v + s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -1.1. What is the third smallest value in -1\/4, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 110*r**2 - 10*r + 11. Let l be w(4). Let d = -1155 + l. Is 72 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00396602096 rounded to four decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 154.6. Let x = 16 - y. Let d = 3 + -4. What is the closest to d in 0.3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 4*h + 4*h)*(-41*h + h + 13*h + 1 - 2*h - 1 + (-1 + 3 + 0)*(0*h - h - h) - 1 + 1 - h).\nAnswer: -68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1970475, -3940939, -5911403?\n\"Answer: -1970464*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2634798, 2634796, 2634794?\n\"Answer: -2*y + 2634800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 31*i**2 + 17*i + 25. Is x(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -1\/2, 5, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by -74\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1087*k + 1187*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(605) - sqrt(605)) + (sqrt(5) - 2*sqrt(45) - (sqrt(40) + sqrt(40)*-2)\/sqrt(8)))*-4*-6.\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4*c - 2. Let v be t(-5). Find the second derivative of n + 2*n**v - 2*n - n wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 739 + -30297\/41. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 1. Let v be f(-1). Suppose -v*t - 1 - 29 = -4*z, -5*t - 35 = -5*z. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 less than -154?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 - 552*n**3\/7 - 11100*n**2 - 3077512*n\/7 - 39205422\/7.\nAnswer: 2*(n - 387)*(n + 37)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -10066056.43 to the nearest 1000.\nAnswer: -10066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-276)\/2277)\/(4\/18 - 0).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 13*d**2 + 12*d - 1. What is g(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(9 + -14 + 3). Solve x = 4*c, 5*l + 10*c - 20 = 7*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894.3183 years to decades.\nAnswer: 89.43183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6794545.\nAnswer: 5, 23, 59083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**7\/14 + 13*m**6\/10 - 39*m**5\/10 - 107*m**4 + 620*m**3 - 1200*m**2 - 135*m. Find x such that s(x) = 0.\nAnswer: -10, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 10*y + 2. Let z be (0 - 8\/2) + -6. What is the smallest common multiple of 2 and b(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-240)\/(-18)*((-53)\/(-55) - 1). Let t be 2\/6 + (-14)\/22. Let l = t - o. Put l, 1, 2 in increasing order.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 144 = 5*x - 2*b, -4*b - 111 = -3*x. Calculate the remainder when 161 is divided by x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172320 divided by 10\nAnswer: 17232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 3. Suppose -5*t = -5*r - 900, -3*r + 159 = l*t + 727. What is the units digit of r\/(-8) - (2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55963 = 5438*q - 36483 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = t - 12, -2*p + 18 - 3 = -3*t. Let r(g) = -g**3 - 4*g**2 + g - 4. Let q be r(-6). Suppose -m = 2*k - 45 - q, p*k + 548 = 5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*y - 15, -5*y - 8 - 9 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxddddddddhddmd. What is prob of picking 1 d and 1 x?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*h + 43*h = -748 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-128)\/20)\/(64\/(-160)). Solve 4*l + q = 5*y, -16 = -5*y + l + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3498*p*r**2 + 5*r**2 - 572*r + 4 wrt p.\nAnswer: -3498*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -76, -94, -96, -76?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 - 3.3. What is the fourth smallest value in z, -1, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 7*b - 238. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1845 divided by 6\nAnswer: 615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/((-3)\/(-3048)). Suppose q = 5*w - w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c33 - -9?\nAnswer: 1c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7546*r**3 - 22819*r**3 - 4507*r**3)*(-r - 4*r + 4*r).\nAnswer: 19780*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 7*d - 151. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/(((s**(-2\/11)*s)\/s)\/s)*s**(-4\/7)*(s*s**(1\/7)\/s*s)\/s assuming s is positive.\nAnswer: s**(58\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 3) + -2 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 1. Suppose 5*w + 5 = 4*k, 0*w - 40 = 5*k + 3*w. Let h(p) = p**2 - 2*p - 11. Let m(f) = k*i(f) - h(f). Let u be m(0). Solve 4*j = 8*j - u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b - 4. Let s(h) = 22*h - 7. Let z(w) = 5*j(w) - 3*s(w). Let q(l) = -7*l + 2. Let i be (2 + 1)*5\/15. Give i*q(c) - 3*z(c).\nAnswer: -4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 160833860*z**2 - 62130*z + 31065. Let r(v) = -10355*v**2 + 4*v - 2. What is -2*k(n) - 31065*r(n)?\nAnswer: 10355*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x + 102*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = -12*a + 16*a, 0 = -4*t - 7*a - 12. Solve x = 4*o - 12, 7*x - t*x = -12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388218 is divided by 170.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 335, 729, 1111, 1475, 1815, 2125?\n\"Answer: -q**3 + 401*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550035 divided by 10785.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354 and 17582.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1520*r**3*t**2*z - 16*r**3*z**2 - r**2*z + 3*r*t**2 - 5*r*t*z**2 + 20*t**2*z - 2*t*z wrt r?\nAnswer: 9120*t**2*z - 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/8 and -3130 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 671761\/5 + -134351. Let t = -75 + 19. What is the third biggest value in 3, 4, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 2\/105*f**7 - 3*f**4 + 0 - 16\/3*f**3 - f**2 - 21*f + 0*f**6 - 11\/15*f**5. Factor w(h).\nAnswer: 4*(h - 4)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + f = 1583, 3*s + 1046 = 5*s + 3*f. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 4*k + 2. Let n be v(-3). Suppose -5*f + 3*j = j, -j = -n. Solve f - 12 = -2*b - m, 28 = 4*b + 4*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 14) to base 11\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -2*h**2 - 32\/3*h**4 + 32*h**3 + 0*h**6 + 8\/5*h**5 - 2\/105*h**7 + 76 + 0*h. Factor s(v).\nAnswer: -4*(v - 2)**3*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -f - 4, 9 = 3*f + 2*m - 4. Suppose -4*q - r + 17 = 0, -10 = -2*q - 3*r + f. Factor 2*b + b**4 - q*b**2 - 5*b**4 + 4*b**3 - b**2 + 3*b**4.\nAnswer: -b*(b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153126 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 3306.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -78740.94.\nAnswer: -629927.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -392\/437 + 17\/23. Let a = v + 47\/418. What is the common denominator of a and (-1)\/(-4) + 729\/(-72)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6230 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(175) + 2 + sqrt(175))*-4*3*5)**2.\nAnswer: 3600000*sqrt(7) + 63360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2843 (base 9) to base 6\nAnswer: 13533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237168 divided by 16.\nAnswer: 14823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -7\/3*f**3 + 0*f - 4 + 15\/2*f**2. What is the second derivative of c(l) wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 563 - 563.0004869. Round j to six dps.\nAnswer: -0.000487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-52)\/32)\/(12\/8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -5 (b) -2.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.2 + -19. Let i = 0.7 + z. Let x = 8.7 + -8.7. Which is the smallest value? (a) x (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 33*r**2 - 91*r + 11. Give a(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -w - 59481 + 59491, 3*w = -3*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1.2. Let v = q - 3.8. Let a = 168.6 - 169. What is the third biggest value in a, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(-18)\/4. Let d be ((-572)\/39 + 15)*0. Solve -4*l = -3*s, 0*s - u*s + 3*l = d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6281 and -450?\nAnswer: -2826450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3\/3*(2 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 3*j**2\/2 + 17. Let i be x(5). Solve b = t + 5, 0*t - i = 4*b + 3*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10101001?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + i - 2*i)*(4342*i**2 + i**3 - 2042*i**2 - 2119*i**2) to the form w*i**4 + o*i**2 + u*i + s + m*i**3 and give m.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1033.2894 + -1.\nAnswer: 1032.2894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, 1, 0.02, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:28 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 8 - (-1 + 10 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h - 309*h**2 - 5 + 132*h**2 + 169*h**2.\nAnswer: -8*h**2 - 14*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -397 * 5\nAnswer: -1985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*h + 7*z + 36832005, 8*h + 4*z = 73663996. Round h to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 - (-1950)\/(-100))*2\/10. Let v = 3 + 1. What is the second smallest value in v, a, 0.1, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1946569.92 rounded to the nearest 100?\nAnswer: -1946600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*u**3 - 184*u**3 - 616 + 2*u + 614 + 164*u**2 to the form n*u**2 + h*u**3 + r*u + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 4*v - 44, -5*t - 18 = 4*v + 28 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -128*b - 631. Determine q(-6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1988\/166107 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 119*v**3 + 49*v**2 - 49*v. Let x(l) = 12*l**3 + 5*l**2 - 5*l. Calculate -5*g(o) + 49*x(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 211*d**2 + 419*d - 209.\nAnswer: (d - 209)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -15, 0.668, 5, 0, 0.01?\nAnswer: 0.668","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 1 + 0 + (sqrt(1300) + 0 - sqrt(1300))*4 + sqrt(1300))**2 + 0.\nAnswer: 20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -4761, 1, 150 in descending order.\nAnswer: 150, 4, 1, -2, -4761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**3)**(-31)*(x*x*x*x**(-2\/17))**(-8\/5) assuming x is positive.\nAnswer: x**(2243\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84854 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17454 - -17474. Solve -5022*c = -5017*c + l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.4. Let d = 45\/7 - 6. Let m = -76 - -79. What is the third biggest value in d, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0*v**2 - 2*v - 2*v**2 + 3*v**2 to the form i*v + x*v**2 + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/2 in -3, -7, 5, -0.16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 13*h = -7*h. Solve 0*o - 5*o - 5 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p + 99*p - 4 = -2*y, -4*p = 21*y + 184 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22320, 43161, 64000, 84837, 105672?\n\"Answer: -v**2 + 20844*v + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*g - 29*g + g**3 + 62*g - g**4 to q*g**2 + j*g**4 + k*g**3 + n*g + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:50 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 + 150*y**3 + 2916*y**2 + 5248*y = 0. What is y?\nAnswer: -41, -32, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 2097?\nAnswer: -5\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224.7 - -225. Suppose -2*y + 10 = -7*y. Sort -5, n, y in decreasing order.\nAnswer: n, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 234*i - 191. Let t be c(22). Suppose -4*r + 0*r + 6584 = s, -4*s - t = -3*r. What are the prime factors of r?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 + 118?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose 3*a = b*a + 28. Let z be a\/8 + (-6)\/(-8). Is -1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1499*7\/(63\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92391, -184819, -277265, -369741, -462259?\nAnswer: -554831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 135, 3, 1, -16 in descending order.\nAnswer: 135, 3, 1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**3 - 3*g**2 - 1. Let q(y) = -y - 19. Let w be q(-14). Let r(c) = -7*c**3 + 4*c**2 + 1. Calculate w*s(h) - 4*r(h).\nAnswer: -2*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-14) - (-8)\/28. Suppose g + v*g = 66. Let j = g + 1. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 4 - 4)*(-2*k + k + 0*k) - k + 3 - 3 + 160 + 27*k - 160)*(351 - 240 - 262) to the form v*k + a and give v.\nAnswer: -3775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 - -80 - (-43 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.874 - 0.126. Is o < -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756391 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5640 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 + 134. Put 74, 0, v in increasing order.\nAnswer: v, 0, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a**3 + 28*a + 233. Is g(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14732 to three dps.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2068 and 38164.\nAnswer: 419804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2882*k - 11508. Let q be b(4). What is the smallest value in q, 3, 0.4, 11, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22989.53 and -3040.8.\nAnswer: -26030.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -133\/53692, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2582*c. Let v(o) = 2*o. Calculate v(m(h)).\nAnswer: -5164*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3054, -6111, -9168?\n\"Answer: -3057*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -65246 (base 10) in base 13?\nAnswer: -2390c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(7 + (-10673)\/1521). Calculate the highest common factor of i and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041.798 millilitres in litres?\nAnswer: 4.041798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from nmtyytnnymyyqmyqmy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*x - 101 - 169, 3*h + 807 = 5*x. Let s be 1609\/(-9) - 4\/18. Let a = s - h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -556.5 - -550.5. What is the third smallest value in -0.2, -977, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/3 - (-3 - 956)*4. Suppose -28*g + r + 2880 = 0. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-57)\/1368*-118.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30.1 + -49\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 93?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -279 (b) -5 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 941 = -2*w + 3*b, -3*w - 8*b + 3*b = 1421. Find the common denominator of 6\/21 - w\/896 and 55\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/3)\/h)\/h)**(2\/25)*(h**1)**(4\/7))\/((h**(2\/9)*h**(2\/17)\/h)\/(h**(-1\/4))**(-2)) assuming h is positive.\nAnswer: h**(81301\/53550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r. Let z(y) = -6*y**2 - 4*y. Let u(w) = 11*h(w) + 2*z(w). Let a be (-1)\/(-4) - (-22)\/8. Let v(g) = -g**2 + 4*g. Give a*v(q) - 4*u(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x - 649. Determine b(92).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**2\/4 + 40593*u\/2 - 37146655\/4 = 0.\nAnswer: -81641, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675587 is divided by 420?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*2 - sqrt(65)) + sqrt(65))\/sqrt(5)*6 - (5 + (sqrt(468) - (sqrt(468) + -2*sqrt(468)))**2)*1.\nAnswer: -1877 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/42 + (-38)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 3*f)*(8 - 25 - 24) + 0*f - 2*f + f.\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = 3*t. Let a = t + 12. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -75, -143, -211, -279, -347, -415?\n\"Answer: -68*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 57. Suppose 0 = 4*g - l - 48. Suppose -5*n + 32 = 3*u, n - g = -u - 3*u. Solve 5*m - u*p + 3*p - 18 = 0, 5*m = -5*p + 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 + 254. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1482410 to the nearest 10000.\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 116 = -15*y. Calculate the remainder when 227 is divided by y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5486*z - 319694 = 8887*z for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i**2 + 0*i**2 + 9*i**2)*((-52 - 11 + 26)*(0*i - 2*i - i) + (-5*i + i + 3*i)*(0 - 1 - 1)) to s*i**3 + j*i + w*i**2 + m and give s.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/4 - (-2)\/(-4). Let m = 10 + f. Solve 1 - m = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.779 and 0.2?\nAnswer: 2.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11)*-1 + sqrt(11))*-2 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003639192037 rounded to 5 decimal places?\nAnswer: 0.00364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = 12. Let i be 42\/15 - d\/15. Suppose k - 4*f - 20 = 0, -2*k + 4 = 4*f - i*f. Put -1, k, -12 in decreasing order.\nAnswer: k, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 972 and 648?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 7*c**2 + 17*c + 43. Let r be y(-5). Solve 5*f - 3 = r*f + 3*g, f + 2*g = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2. Let s(j) = -68*j**2 + 2*j - 2. Let w(m) = -138*m**2 + 5*m - 5. Let z(g) = -5*s(g) + 2*w(g). What is z(f(y))?\nAnswer: 1024*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/((-184)\/(-44) - 4). Differentiate 99 - 62*i**2 + 88 - r wrt i.\nAnswer: -124*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeqeqqqeqeee. What is prob of sequence eq?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i*((i**(2\/25)\/i)\/i)\/i*i)\/(i**1\/i)**7 assuming i is positive.\nAnswer: i**(52\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192 + 196. Suppose -2*t + 10*v = 6*v - 32, 2*t + 5*v - 23 = 0. Calculate the remainder when t is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*k - 11 = 0, 2*z + 2*k + 0 + 4 = 0. Let i = -3 - z. Let c = 6 + i. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6*u - 4*u + 439 = 0, -2*z = u + 863. Let p = 1615 + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-364)\/(-117))\/(4 + 753\/(-189)). Calculate the highest common divisor of b and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 3*r - 1. Give n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -53.58.\nAnswer: 53.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123301023 + 1?\nAnswer: -1123301022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than or equal to 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 45336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:52 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.06 (b) 1\/3 (c) -0.02 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15))**11\/(p**(1\/9)*((p**8\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-1531\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g + 19*g + 16060. Which is smaller: g or -367?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 566 + 139. What is the remainder when n is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (39\/(-832)*-236)\/(-3) and -67\/1404?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 0 - (100 + -103 + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41399915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5020523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 20, -2*q - 8 = 54*i + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(20) + sqrt(20) + sqrt(60)\/sqrt(3))\/sqrt(4) + (0 + sqrt(20)\/sqrt(4))**2 + (-1 + sqrt(5))*-4.\nAnswer: -sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let i(y) = 2*y**2 + 7*y + 1. Let z(l) = d(l) + i(l). Let r = 6 + -3. Suppose g - 17 = 3*w, -2*w - 3*w + r*g - 31 = 0. What is z(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 905, 1734, 2629, 3614, 4713, 5950, 7349?\nAnswer: 8934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**5 - 6798*i**4 + 207165*i**3 + 1205400*i**2 = 0.\nAnswer: -2296, -5, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 2*b**3 + b**3 + (-4*b**2 + 15*b**2 - 6*b**2)*(-b + 2*b + b))*(2*b + 4 - 4).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2453*q + 14715 = 899*q + 71699 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 6*k + 5. Let c be m(-5). Let t = -162 + c. Let v = t - -116. Calculate the remainder when 116 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111 + 11021121?\nAnswer: 11111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.228546 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -201121012100 (base 3) in base 9?\nAnswer: -647170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47135700 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10681.23g in tonnes?\nAnswer: 0.01068123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-51)\/6 + 7). Solve -l - 4 = -o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 - 23*p - 22. Determine r(3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2596*y**2 + 1. Let v(w) = 7909*w. Calculate j(v(g)).\nAnswer: -162385721476*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/566 - 31807\/19810. Find the common denominator of i and 9\/415.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -2.3, 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -13*o - 1\/12*o**4 + 0 + 3*o**2 + 7\/6*o**3. Give r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*g + 118, 116*j - g = 118*j - 222. What is the remainder when j is divided by 71?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-7)\/z)*z*z\/z**(-2\/5)*z*z)**(3\/25)\/((z**3\/z*z)\/(z**(6\/5)\/z)*z*z*z**(-7)*z\/(z**(-1\/3)\/z)) assuming z is positive.\nAnswer: z**(553\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 4, -6, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lej when three letters picked without replacement from llydojjyjdje?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -14*s**3 - 126*s**2. Let p(n) = -n**2. Determine 252*p(t) - 2*v(t).\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssasssaaassssssss. What is prob of sequence ssa?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -5, 0.086, -4?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1221 - 1170. Suppose 3*r = -0*r + 51. What is the greatest common factor of r and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -0*t - 3*t. Let a = t - -11. Let m = -1 - a. Solve -2*q + 0*q + m = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 10 + (5 - 22) + 2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -32. Solve -h = -0*h + t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*(-474)\/(-1185)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -491474?\nAnswer: -491476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5634328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 39 + 146 - 44 - 42*x.\nAnswer: -42*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 - 25.7. Let h = -6.77 + 7.17. Sort h, 0.3, a in descending order.\nAnswer: h, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-2 + 0 + 3)*(-8*q**2 + 4*q**3 + 8*q**2) - 3*q**3 - 2*q**2 + 4*q**2 + 2*q**3 to i*q + h*q**3 + g + m*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 49*r**2 - 17*r + 1481. Let q be f(-48). Let s(n) = 5*n + 2. Let y(k) = k + 11*k + 4 - k. Determine q*s(g) + 3*y(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194.0269 + 0.0269. Which is the biggest value? (a) -3 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695 a multiple of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3 + 7. Let j = 3 - 0. Suppose -9*z + 52*z + 12*z = 110. Solve j = -g - m - z, 2*m = s*g + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) - ((5 + sqrt(153) - sqrt(153)) + sqrt(153))*-4.\nAnswer: 20 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-400))\/(4\/30)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*h - 389*h = 140 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/11, 2, 46, 3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19486187 is divided by 1241.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(104) + 1*(sqrt(104) + -2*sqrt(104)))\/(-3*(2*sqrt(40)\/sqrt(5) - sqrt(8))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -703851506?\nAnswer: 703851505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2566493*i**2 + 2*i + 32056509.\nAnswer: 5132986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s - 9. Let r(c) = -c. Let h(y) = 3*p(y) + 24*r(y). Let u be h(12). Suppose u*a - 29 = 853. Calculate the greatest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 4\/713 (b) -0.0297 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24812000 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2\/7, -0.3, -35, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddhdjdddddd. Give prob of sequence dhdj.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q - 49*q - 13*q + 164 + 0*q - 169.\nAnswer: -96*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-9))\/1)\/((-54)\/162)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136.2 and 1.\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*l + 131*l + 670*l + 547*l as z*l + b and give z.\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - 3*y - y + 0*y - y + (0 + 3 - 4)*(-2*y - y + 5*y) - y + 0*y + 3*y + 2*y - 3*y - y)*(12 - 7 - 10) + y + 0*y - 2*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inbbienenjjnobnnnbjj. Give prob of sequence nbbe.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453854 is divided by 1488.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1108 divide 6253346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 143, 229, 333, 461?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 1, f: 1, k: 1}. Give prob of picking 1 k and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8 - 3*c + 0 - 9. Let g(j) = -7*j - 3. Calculate 4*g(r) - 9*s(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018 = 7*v + 192. Suppose 3*q - 111 = -g, 5*g - 591 = 6*q - 3*q. Is g < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m - 22*m = -67*m - 89*m + 20493 for m.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48226, 48220, 48212, 48202, 48190, 48176?\nAnswer: 48160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 58*d - 1104, 3*d - 6*d + 23 = 4*h - 2*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.3 (b) 1\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -259*n**5*q - n**4 - 6*n**3*q + 9*n**2*q + 203*n*q - n wrt n?\nAnswer: -15540*n**2*q - 24*n - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*21\/(-63).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(88) + 6*(1*sqrt(88) - sqrt(88)))\/(-1*sqrt(800)).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:42 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/3*(-6)\/(-4). Suppose 21999984 = 5*b + 4*l, -2*b + 8800004 = -w*l + l. Round b to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, u: 1, z: 1, v: 1}. Give prob of picking 1 v and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084622006 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 - 23?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30621285 times 0.2?\nAnswer: 6124257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 4:54 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y - 41. Let f be a(13). Let s = f + -115. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -15. Let i = 9 - q. Solve 0 = 3*h + 1 + i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 973 divided by 12250\nAnswer: 139\/1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let v(r) be the second derivative of -r**5\/20 - r**4\/12 + 35*r**2\/2 - 3*r. Is 12 a factor of v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -0.4 (c) 0.5 (d) -3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*g + 2*n, -2*g - n - 43 = 2*g. Let m(s) = 2*s**2 + 4*s + 3. Let u be m(-2). List the prime factors of 5*(g\/(-5))\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*2*(-6)\/(-18))\/((-14)\/2)*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -3) - (-8 + 9 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(343) + 0)**2 - sqrt(343) - sqrt(343)) - (sqrt(343) - (1*(-1 + sqrt(343)))**2).\nAnswer: -35*sqrt(7) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3614 + 3617. Let y(n) be the first derivative of 1\/8*n**4 + 1\/2*n - 1\/6*n**s - 1\/4*n**2 + 33. Find h such that y(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, e: 1, i: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6610*t - 654383 = -5917*t - 2408163 for t.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.011509 millennia?\nAnswer: 20.11509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 11) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -42. Suppose 5*c - 5*w - 25 = 0, -3*w + w = 5*c - o. What is the third derivative of -91 - c*d**2 - 11*d**5 + 185 - 94 wrt d?\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-630)*9\/5*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 179, 181, 185, 191?\n\"Answer: u**2 - u + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 141411 - 141941. Solve 44*h - a*h - 36 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*y = 1, -3*b + 3*y + 11 + 22 = 0. Let g = -5 - 6. Let u = g + b. Sort -5, 2, u in descending order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/30 + 17*a**2. Let o(j) = -4*j**2. What is p(o(d))?\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 741646170 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5 - 0. Let f(o) = 2*o**3 - 97*o**2 + 49*o - 53. Let a be f(48). Put w, -4, a in ascending order.\nAnswer: a, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 38?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3252611, -6505213, -9757811, -13010405, -16262995, -19515581?\n\"Answer: 2*k**2 - 3252608*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.7 - 1.3. Let x = t - -6.1. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 51 and -0.184 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 22*g**2 - 38*g**2 + 245*g - 10*g**2.\nAnswer: 5*g*(g - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0*z**3 - 1 + 61\/8*z**4 + 0*z**5 + 0*z + 173\/210*z**7 + 0*z**6 + 107*z**2. What is the second derivative of h(y) wrt y?\nAnswer: 2076*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0 + 1\/6*l**4 - 1\/6*l**3 + l + l**2. Let q be k(2). Solve -b - q = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from exxlxeexex?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-810)\/1728)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -105.5, 4, 1\/5, -3, -4\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 32*g + 1943. Calculate j(-61).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -754*u - 7955. What is v(-9)?\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 smaller than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 294*k + 35266. What is s(-120)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261078.\nAnswer: 2, 3, 53, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = k + 9, 2*d = d + 4*k + 24. Suppose d*p = -5*w + 2*p + 328, 0 = 4*w + 3*p - 261. Calculate the greatest common divisor of w and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2263512*p**2 - 450775 wrt p.\nAnswer: 4527024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - -19. What is the greatest common factor of i and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91*70\/(-44590))\/((-1506)\/(-84))?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 + 6*o - 845*o**2 - 1 - 840*o**2 + 1683*o**2 to m*o + k*o**2 + w + g*o**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 16*t**2 + t + 8. Let a be m(-4). Is a equal to 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 3)\/(1 - (-19)\/(-20)). Let m be ((-12)\/16)\/((-5)\/(f\/(-42))). Let d = 5.89 + 0.11. What is the nearest to 0.1 in d, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n\/n**5)\/((n*n**(2\/7))\/n)**42*((n*n**(1\/4))\/n**(2\/5))\/((n*n*n\/n**0*n*n*n)\/(n\/n**(1\/2))) assuming n is positive.\nAnswer: n**(-293\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2023\/28)\/(-17) + 1?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 - 140*c**3 - 6 + 136*c**3 + 319 to b*c + p*c**2 + y + l*c**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131036617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11244 = -12*k + 40620. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 732 or 731?\nAnswer: 732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/9 - 572*u**4\/9 + 4544*u**3 + 572*u**2\/9 - 40898*u\/9 = 0. What is u?\nAnswer: -1, 0, 1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.6 + 12.6. Which is the third biggest value? (a) -31 (b) x (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 9 + 16. What are the prime factors of -3*o*(-2)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155351234 (base 6) in base 9?\nAnswer: 6254274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7447 + -7446.9. Which is the fourth biggest value? (a) -3 (b) -0.2 (c) -0.46 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 11, -3.\nAnswer: -5, -3, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9006 < -9005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*u + 57, m + 5*u + 24 = -7. Let a = 9 + m. Let o be 3 + -2 - a\/(-9). Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n + 10*n + 1 - 2*n)*(17 - 11 + 17)*(-5 + 4 - 12) in the form w + a*n and give a.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000409124896 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 459395.9 litres?\nAnswer: 459395900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -121)*(-1)\/16. Let p = -497\/72 + r. Which is the nearest to p? (a) 0.3 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3446*v**2 - 130*v - 1925. Is p(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 243*p**4\/7 + 459054*p**3 + 10613604639*p**2\/7 - 9109773612*p + 95696023212\/7 = 0. Calculate p.\nAnswer: -59534\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691795 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 146*z**2 + 9*z + 125. Let d(f) = 438*f**2 + 30*f + 376. Let k(n) = -3*d(n) + 10*w(n). Differentiate k(u) with respect to u.\nAnswer: 292*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2008\/24 - 15\/9. Let x(o) = -141 + 67 + s + o. Determine x(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120792525*d**3 + 4*d + 27963978?\nAnswer: -724755150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/((x\/(x**(-3\/5)*x*x*x))\/x)*(x*x**4)\/x*x**2\/(x\/x**(-3\/5)) assuming x is positive.\nAnswer: x**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1 - 2 + 1 + a - 2. Determine t(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*a**2*d**3 + 10*a**2*d*f - 2*a**2 - a*b*d**3 + 2*a*b*f + b*d**3 + 68*b*d**2*f + 17*b - 25*d**3*f wrt d?\nAnswer: 270*a**2 - 6*a*b + 6*b - 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a**3 - a**2 + 2. Let g(q) = -9*q**3 + 1. Let r(n) = -3*g(n) + 2*l(n). Let m be r(1). Suppose -14 = -d + m. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1523+-0.4\nAnswer: -2.5523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/256 and -91\/14832.\nAnswer: 237312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4417676.7 > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 48 + 224. Let h = y + -14. Calculate the greatest common divisor of 36 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5890 (b) 2\/5 (c) 0.2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -525, 4, 5, -1, -222, 2.\nAnswer: -525, -222, -1, 2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*z**3 - 2*z + 188*z**3 + 0 + 1 + z**4 + 0*z**4 + 2*z**2 in the form w*z**4 + s + b*z + a*z**3 + m*z**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 26. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = -5. Let s be k + 246 + 0 + 2. Is 1 + s\/3 - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89722068 or 448610338\/5?\nAnswer: 448610338\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 7*w - 28. Is w greater than -27\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5334 is divided by 79.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1312 is divided by 45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t - 57*t + 1392 = 29*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**8\/420 - m**5\/30 + m**3\/3 - 3*m. Let l(b) be the second derivative of x(b). What is the second derivative of l(d) wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 6. Suppose 0 = 3*k + x*k - 15. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5108 is divided by 222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(72)\/sqrt(4))\/sqrt(6) - (sqrt(147) - (2 + sqrt(147)) - sqrt(147))) + -4)*-1)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-2 - (-10)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 4*c**3\/3 + 3*c + 5. Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -11. Let f(c) = 4*c**2 + 8*c - 8. Let d(v) = -v**2 - 3*v + 3. What is n*f(g) + 8*d(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 12 = -23*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.3? (a) -2701 (b) -1 (c) 4\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 48*c + 5. Give w(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35601040 - -10?\nAnswer: -35601030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850 - 14*l**3 + 3*l + 419 - 3*l + 433.\nAnswer: -14*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 290*b - 5992\/3.\nAnswer: -2*(b - 428)*(b - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose -13 = -l*r + g, 2*r - 14 - 8 = 4*g. Let j = -11 - -13. Solve f - j = s - r, -3*f = -s - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*n + 1\/5*n**5 - 8\/5*n**4 + 0 + 23\/5*n**3 - 28\/5*n**2.\nAnswer: n*(n - 3)*(n - 2)**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Which is the closest to -1? (a) -0.7 (b) 0.2 (c) -0.34 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h + 1. Let a(m) = -m**2 - 4*m + 5. Calculate -a(r) - 3*b(r).\nAnswer: -2*r**2 + r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.043 at most as big as 42811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*v - 4*w, -4*v + 4*w = v - 17. Suppose -c - 5*y - 5 - 1 = 0, 4*c = -y - v. Is c smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i + 92. Let a be b(-8). Let m(p) be the first derivative of 0*p**2 + 5\/2*p**a + 5\/3*p**3 - 12 + 0*p. What is the third derivative of m(f) wrt f?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(-9 + 8*k + 9) - 3 - 3 - 2*k + 4 in the form x*k + s and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 261.2697 weeks?\nAnswer: 2633598.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 80632 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2*o - 14. Give t(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -1501?\nAnswer: -8\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**(-9))**(-1\/6) assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4676 + 0.5676. Sort -25, -6, t, 0.4 in descending order.\nAnswer: 0.4, t, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1079 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -6 (c) 3 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 20 = 20*u. Suppose -3*j + 2632 = 7*y - 3*y, 3*j = -u*y + 3293. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3026591 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:54 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -88, -1\/2?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-312)\/(-16)*(-64)\/12. Let d be 0*((-34)\/(-52) - (-16)\/p). Is d at most as big as 0.117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Suppose 5*d = -2*r - 0*r - 92, b*r + 41 = -2*d. Which is smaller: d or -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11272669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48a850 (base 12) in base 9?\nAnswer: -2187226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)*v**(2\/39)\/v*v assuming v is positive.\nAnswer: v**(-505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 10, 18, 30, 46?\n\"Answer: 2*c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028038538 to five decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206 (base 10) in base 12?\nAnswer: -846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185a38 (base 11) in base 5?\nAnswer: 33123320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 9216 = 9144. Calculate the remainder when 213 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -54*l**3 + 5*l**2 - 67*l + 225. Calculate d(3).\nAnswer: -1389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 5*j + 1037 + 2*j**2 - 4*j - j**2.\nAnswer: j**2 - 2*j + 1037","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 456. Let t = 0 - 0. Let d be u(t). Let j = -193 + d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 25578 (c) 4 (d) 0.5 (e) -1\/275\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 11*j - 62*j)*(0*j**2 - 3*j**2 + 0*j**2).\nAnswer: 234*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2625 - -2177. Which is bigger: -446 or m?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331310 + 12002?\nAnswer: 1343312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-21)\/6)*8. What is the units digit of (-142)\/(-8) - (-6 - (-161)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 26, 5, 5\/76, -0.1?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3746487l in millilitres?\nAnswer: 374.6487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4617135 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 50 = 4*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let w(x) = -26*x**2 - 8*x**2 + 4*x**2 - 26*x**2. Calculate i(w(z)).\nAnswer: -112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1146)\/9 + 3\/9. Let b = j - -587. Suppose -3*v + 230 = 2*t, -4*t + 0*t + b = -2*v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43931519077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - f + f + (3 + 0 - 4)*(-f + 3*f - f) + 2*f - 4*f + 3*f + (-2*f + f + 2*f)*(4 - 1 - 5) + 3*f - f - 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730 divided by -73?\nAnswer: -1730\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7901 from -607.\nAnswer: -606.2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(sqrt(77) + 1*(sqrt(77) + sqrt(77)*1 + sqrt(77))))\/(sqrt(35)\/sqrt(20)*-6))**2*-2.\nAnswer: -5632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86986.91 hours to milliseconds.\nAnswer: 313152876000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2373, 1094, -2503, -9576, -21283, -38782, -63231?\nAnswer: -95788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 7)*(-14*w + 59*w + 3*w) to the form p*w + d and give p.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31919 is divided by 2452.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11300*r**2. Let a(q) = 23*q. Calculate a(z(o)).\nAnswer: 259900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150168236 + 0?\nAnswer: 150168236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -1.97. Let n = x - 1.7. Let s(l) = -l - 1. Let g be s(2). Which is the third smallest value? (a) g (b) 2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - (-19)\/4. Suppose 0 = 4*t - 20, -2*t = q*z - t - 305. Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/2208)\/((12\/(-18))\/2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 61 = 18*v. What is the closest to -22 in v, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/77, -3, 3 in ascending order.\nAnswer: -3, 2\/77, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 11 - 1. Let y be 6\/(-8)*b + 1. Suppose 0 = -2*i - v + 138, -y*i - 3*v = v - 284. What is the remainder when i is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-8)\/(-3))*584\/(-219)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3034, -5265, -7496, -9727, -11958, -14189?\nAnswer: -16420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 2983, 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*x - 5682*x = -332920 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 - 292. Let m be (-2)\/(-3) - (-24)\/(-9). Let c(s) = -s**2 + s - 1. Let o(x) = 3*x**2 - 2*x + 3. What is g*c(a) + m*o(a)?\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 80. Calculate c(-30).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3125\nAnswer: -3\/3125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/(-10)*-1*4. Suppose -10*n = -15*n + m. Find the third derivative of -14*c**2 + 18*c**4 - 14*c**4 + n*c**2 wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h - 7*h - 3*h**3)*(843*h - 904*h - 54 + 55) to the form m*h**3 + u*h**4 + j*h + q + w*h**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 195455 = 54*l. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 6. Suppose 2*w + z + 6 = -3*j, -j - 5*w = 0. Let q(l) = 2*l + 0 + 6*l**2 + l**3 + 2 - 5 + 2 - 1. Give q(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 744.\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.53536 tonnes in micrograms?\nAnswer: 53535360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -3) + (1176 - 7). Let d(z) = 162*z**2 + 3*z - 5. Let k be d(-5). Suppose k = 2*p - q. What is p rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*w - 233*w - 4*u + 11 = 0, 5 = 3*w + 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from xnxxbxxbnbnnnnnxnbdx.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113181 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1132033 (base 4) to base 9\nAnswer: -8241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142 - -22121?\nAnswer: 22303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1 - 3 - v - 1 - 1. Let g be r(0). Let i = g + 2. Let z(b) = b**2 + b - 1. What is z(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/76606 or -1?\nAnswer: 1\/76606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -7 + 12 + 3 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 1536226 + 1536256 = -3*c, -4*d + 6*c + 46 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*g**3*k*v**3 + 10*g**3 - 2*g*k*v**2 - 28*k*v**3 + 9*k*v**2 - 2*v**3 + 5*v**2 wrt v.\nAnswer: 150*g**3*k - 168*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1290 + (-3)\/9*-9. Let w = s - -3826\/3. Calculate the common denominator of w and -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-48)*15\/(-20)*-19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) + 12\/21. Let f = 3 + -3.4. Let g = 0.5 + f. Is h at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39821027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(42\/(-6))*7\/14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1663.195 - -1571.6. Let n = b - -89.4. What is n rounded to 1 dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, -0.25, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2490 + -1485. Calculate the least common multiple of u and 18.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036039646 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 + (-1 - 1))*(-3)\/(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 10. Let y be k(-4). Sort 4, y, 1 in ascending order.\nAnswer: 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 9685.\nAnswer: -1\/9685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**4 + 29*d + 9*d**4 - 23*d**4 wrt d?\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2 + 2. Let l(a) = -3*a - 1. Let s be l(-1). Find the third derivative of g**v - 4*g**s + g**4 + 2*g**4 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9092121 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3583*b**2 + 3582*b**2 + 20 - 22 + 231*b**4 - 391*b wrt b?\nAnswer: 2772*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126\/4 + (-1)\/(-2). Find p such that -14*p**4 + 51*p**3 + 2*p**5 - q*p + 6*p**2 - 19*p**3 - 22*p**2 + 32 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -222368?\nAnswer: -222363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1564*z**2 - 1467*z**3 + 3*z - 777*z**3 - 411*z**3 + 1564*z**2.\nAnswer: -2655*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 129?\nAnswer: -4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2838*w**2 - 4*w - 2*w + 6*w - 2819*w**2.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 28*x + 1553. Give f(-58).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3 + 1 - 5*m**3 + 1 + 2*m - 3*m**2 + 6*m**3. Is x(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4079055?\nAnswer: 3, 5, 193, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3933581, 15734318, 35402213, 62937266?\nAnswer: 98339477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3098 and 2874944.\nAnswer: 2874944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -8) + (5 - 6\/((-24)\/(-20)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 28. Let u be ((-2)\/w)\/(1\/(-7)). Solve -u*n = n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203\/309 - -1\/103. What is the nearest to 1\/3 in -3\/7, k, 2\/9, -12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2)*g*g)\/g*g)**36\/(g\/g**(-4))**15)**14 assuming g is positive.\nAnswer: g**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 218*z. Calculate b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-54)\/(-8) + -6). Suppose 3*c = 3*j + c, 3*j = d*c. Are 14 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 103. Suppose 0 = -5*w + 6*k - 3*k - 72, 0 = 5*k - i. Let b = w + 85. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-2)*3\/6. Suppose -2*t + 4 = 3*i, 3*t - k*t = i - 28. Solve 3*a + t = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -522, -838, -1258, -1770, -2362, -3022, -3738?\nAnswer: -4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19698187*l**2 + 894*l + 216 + 164 - 10*l**3 - 19698331*l**2.\nAnswer: -2*(l - 5)*(l + 19)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/7 - 1574*d**2 + 655230*d\/7 - 7356150\/7 = 0.\nAnswer: 15, 45, 5449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4)*2 + 1*(sqrt(3) - sqrt(12)\/sqrt(4)) - -6*(1 + sqrt(192) - sqrt(192))**2.\nAnswer: 2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*m + 267*m + 263*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -684.83 + -9?\nAnswer: -693.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 10*k**2 + 21*k + 17. Calculate c(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 2*w)*(-4 + 50*w - 16*w - 25*w).\nAnswer: -18*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**(-9))\/v**12)**(5\/9) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 + 3 - 1. Suppose 9*y - o*y - 55 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 6) to base 3\nAnswer: 102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pssxpzssszzxx. What is prob of picking 1 s and 2 z?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 + 12*q + 3. Let w be a(-6). Let f = w + -20. Calculate the highest common divisor of 76 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -79451?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = -0*n, -2*r = -n + 11. Let s = 8 + r. Let t(x) be the first derivative of -3*x**2\/2 - 3*x + 2. Let z(l) = -2*l - 2. Give s*t(y) - 7*z(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c*r**4 - 10*c + 7*r**4 + 36*r**3 - 109*r**2 + r + 1 wrt r?\nAnswer: 216*c*r + 168*r + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -186*o**3 - 775*o**2\/2 - 1797*o. What is the derivative of a(t) wrt t?\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -138*p. Suppose -15 = -0*x - 3*x. Let w be o(x). What is w rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 2:07 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -72704857447.\nAnswer: -72704857450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 25*q + 14. Let k(j) = -j**2. Let m(p) = -c(p) - 3*k(p). Is m(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-108))\/(2\/(-12)*2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9114221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/8)\/((117603\/(-292))\/(-179)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.316135825 to two decimal places.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5607*k**2 + 5607*k**2 + 94*k**3)*(2 + 3 - 1 + 0 - 4 + 3 + (-2 - 4 + 5)*(4 - 4 - 1))*(k + 4*k + 4*k).\nAnswer: 3384*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, 0.4, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.0062 and 3.\nAnswer: -13.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - o - 2*o + 140, 0 = 2*o - 8. Suppose -3*a = -2*l + 8, 7*a - 5*a + r = -4*l. Let c(x) = x**2 + 9*x - 7. What is c(a)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178994*x**3 + 99*x - 99*x - 178997*x**3 + 357986*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83158774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*x + 351*x = 0. Let l(b) be the third derivative of -3\/8*b**4 + 0*b + b**3 + 0*b**5 + 4*b**2 + x + 1\/40*b**6. What is k in l(k) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(7\/4)\/(n*n**1))\/(n\/n**(2\/11))**(21\/5))**19 assuming n is positive.\nAnswer: n**(-15409\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543*s**4 - 122730*s**3 - 2169*s**2 + 122730*s + 2712 = 0. Calculate s.\nAnswer: -226, -1, -4\/181, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 1406.79626.\nAnswer: -1407.09626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -21. Let u be (2*m)\/(6 + -8). What is the closest to -1 in u, -0.3, -1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(-3) - 2\/6. Let y be (0 + 4 + w)*-2. Suppose -v - y*v + 110 = -3*b, -v - 4*b = -22. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.997 - -0.003. Let v = -0.59 + 5.49. Let r = v - w. Which is the nearest to r? (a) 0.2 (b) 1\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-32)*(-8)\/(-33)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -38.93. Which is the second smallest value? (a) 2 (b) 1\/8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 72*h**2 - 67*h**2 + 12*h**2. Let t(f) be the second derivative of -f**3\/2 - f - 4. Calculate t(g(q)).\nAnswer: 366*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-22)\/66\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - g**2 + 6*g**2 - g**2 + 2*g**2 + 0*g**2 + (2*g - 2 + 2)*(0*g - 3*g + 4*g) - 7*g**2 + 6*g**2 - 7*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005567655 rounded to 4 dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779*y - 90 = 1574*y - 780*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 3, z: 4}. What is prob of picking 1 z and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5732, 10708, 15684, 20660, 25636, 30612?\n\"Answer: 4976*v + 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.376787 to 2 dps.\nAnswer: -163.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (107\/(-4))\/(4\/16). Let q = l + 72. Let a be (-8)\/5*q\/14. Solve a*u + 4*o = 0, 2 = -u - o + 2*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:11 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 5:17 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 4*o + 3. Let x(j) = -j**3 - 2*j + 1. Give 2*g(q) - 5*x(q).\nAnswer: 3*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 257787166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3121*d = -11205*d + 194016 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 667*c**5\/60 - 5*c**4\/24 + 20*c**3\/3 + c**2 + 504. Find the second derivative of f(u) wrt u.\nAnswer: 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 10*f - 12. Let r be t(-8). Suppose -r*y + 3*y = -3. Let h = y + -1. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63295 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1462547311 by 5.\nAnswer: -1462547311\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -148*h + 14. Determine c(3).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(-987*m - 1179*m + 4620*m - 1005*m - 1111*m).\nAnswer: -338*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/6)\/(1\/(-3)). Let z = 3 - 3. Suppose -5*j = -3*c - 13, z*c - o = -j - c. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18. Suppose h = -3*z + 8*z - 20. Calculate the highest common divisor of 36 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762 is divided by 104.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 9 - 1 = 0. Solve -6 = -i - g*i, -4*q - 10 = -5*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**3\/18 + 67*p**2\/3 + 432. Factor f(y).\nAnswer: -y*(y - 268)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101814 by -16969.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/63, 7\/5, 2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) + sqrt(1375)*4 - sqrt(1375))\/sqrt(11) - 3*(3 + (sqrt(5)*2 - sqrt(5))).\nAnswer: -9 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 3*f**2 + 19*f - 3. Let h(d) = -6*d**3 + 16*d**2 - 96*d + 16. Determine 3*h(n) + 16*p(n).\nAnswer: -2*n**3 + 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 4.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(4 - 4 + 2*h)*(-3 - 4 + 5 + 5 - 2 - 1 + (3 - 2 - 3)*(3 - 4 + 3)) - 2*h - 4*h + 5*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 - 85*t**2 + 24*t - 106. What is u(12)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212.3 and -24225?\nAnswer: -5142967.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlhh when four letters picked without replacement from {h: 3, m: 5, c: 2, l: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26813 is divided by 112?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {b: 3, m: 3, r: 5, p: 3, k: 3, z: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 11*a + 10 = 0, -3*a = 4*z - 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141222 - -5?\nAnswer: 141231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/124656 and -29\/24.\nAnswer: 124656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3a84 - -3?\nAnswer: -c3a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13758.215 + -13712. Let k = 46 - u. Round k to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82444997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10077 + 31942. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20788 + -13495. Let i = t + -2242. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382 (base 11) to base 2.\nAnswer: 111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.9 + -29.9. Is -2\/1671 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 150*s**2 + 9. Let t(n) = 19950*n**2 + 1200. Calculate 3*t(y) - 400*v(y).\nAnswer: -150*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264011640 divided by -13200582.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -2*c - 3*c. Let j = -28 + c. Suppose 0*a = 4*g - 3*a - 1224, -614 = -j*g + 2*a. 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 49\/34 and -55\/7684?\nAnswer: 7684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896396210.\nAnswer: 2, 3, 5, 593, 35533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 11367632?\nAnswer: 102308688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 73 - 255. Let s(u) = u**3 + u**2 - u + 14. Let w be s(0). Suppose -42 = -2*r + w. Calculate the remainder when x is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3446 - -2883. Is 0 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4719 is divided by 330?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5)\/(22 + -16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:28 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = -4*t - 23. Put t, 2, 0 in decreasing order.\nAnswer: 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 108 + 115 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119085*x**4 - 366*x**5 + 119085*x**4 + (x**2 + 2*x**2 - 5*x**2)*(2*x**3 - 5*x + 5*x).\nAnswer: -370*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 - 493 - 928*w + 1435 - 472.\nAnswer: -928*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5 - 2 + 4 + 2*d**2. Let j(h) = 2*h**2 - 3*h**2 - 4 + 1 + 5. Let i(b) = -6*j(b) - 4*s(b). Let p(w) = -34*w + 1. Calculate p(i(f)).\nAnswer: 68*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 276187925 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/360 + 7*a**3\/6 - 8*a**2. Let b(c) be the first derivative of t(c). Let d(u) = -4*u. What is d(b(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -57c?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -17\/2. Let v(w) be the first derivative of y*w**2 + 1\/4*w**4 + 5\/3*w**3 - 3*w - 3. Give v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1405, 1389, 1373, 1357, 1341, 1325?\n\"Answer: -16*i + 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1160181252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708928561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*w - 33*w - 28. Is 45 a factor of (-13 - 122)*(w - (-34)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -r + 3*a - 8*a, 2*r + 4*a = -8. Let z be (26\/r - 3)*3. Let d = -75 + 75.4. What is the smallest value in z, -4\/3, -2\/15, d?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 4*s + 3*s + (1 - 5 + 2)*(-3*s - s + 2*s) + 0*s - 3*s + 6*s as i + c*s and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 + 7589*f**2\/5 + 2878887*f - 2880405.\nAnswer: (f - 1)*(f + 3795)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*o + 1 + 15 = 0, -3*o = 2*q - 17. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 11*m - 79 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/7)*z)\/z**1)\/(z**(-15)*z\/z**(-1\/14)*z))**(3\/4) assuming z is positive.\nAnswer: z**(555\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 2:13 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.1182548*-2\nAnswer: 4.2365096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - -5*(sqrt(88)*2 + sqrt(88)) - sqrt(88))\/(sqrt(128) - (sqrt(128) - sqrt(128)*2) - sqrt(8)).\nAnswer: 15*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 23*s**2 + 11 - 56*s**3 + 53*s**3 - 6.\nAnswer: -3*s**3 + 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997*g - 21 = 4*j + 1000*g, 21 = -3*j - 4*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**3 - 23*k**2 - 12*k + 10. What is the units digit of c(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91409*v**3 - 116*v**2 - 91398*v**3 + 116*v**2.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477006 is divided by 11093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*b - 0*n + n, -4*n = 3*b - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)*q**6)\/(q**(6\/11)\/((q*q*((q**5\/q)\/q)\/q)\/q)))\/((q**(2\/7))**11\/((q\/(q**0\/q*q*q))\/q*q**4\/q*q)) assuming q is positive.\nAnswer: q**(178\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1) + -10 + (4 - -29) + 18 + -2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 49699*j**5 - j**2 - 43544*j**5 + 0*j**5 + 0*j**5 + 2*j**5 + (-j + 2*j + j)*(j**4 + j**4 + 0*j**4).\nAnswer: 6161*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0311439 - 2.594698.\nAnswer: -2.6258419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = -4. Let q be s\/18 - 74712\/(-865917). Let i = 2\/2467 - q. Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-23\/5)\/(i\/i**(-16))*(i\/i**(-26))\/i**(-5\/9))**(-10) assuming i is positive.\nAnswer: i**(-536\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from {q: 9, f: 5, a: 2, i: 2}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(48) + -2 - sqrt(48)))**2 + -2*sqrt(147)*-3 + 5.\nAnswer: 41 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 0*c + 0*c**5 - 3*c**3 + 12 + 0*c**2 + 1\/2*c**6 + 0*c**4. What is the third derivative of z(f) wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 457087.7 to the nearest 100.\nAnswer: 457100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14122753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -60*p + 38. Is b(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8 = 2*o, 3*s + 18 = 4*o - 2*s. Suppose -8 = -3*c + 5*d, o*d + 3*d = c + 14. What is the highest common divisor of 55 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/5, 0.19, -1\/8, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232267?\nAnswer: 421, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, 47460.4, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + g + 87, -37*g + 41*g = z - 6. Solve -z = -5*p - p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 4*i - 4*v + 2*v, 3*v + 6*v + 111 - 97 = i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and 16212472.92.\nAnswer: 16212472.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2132\/3 + -711. Let c = 69 - 71.9. Is y greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 62.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 7*h + 20. Let u be (0 - 1)\/(10\/(-120)). What are the prime factors of o(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266 (base 8) to base 11.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68276507 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofx when three letters picked without replacement from {x: 6, d: 2, o: 2, y: 1, f: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*d + 4*o + 18, 5*d + 3*o = -7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + x**3 - 2*x**3 + (-6 + 3 + 1)*(4*x**3 + 4*x**2 - 4*x**2))*(x - 3*x + 4*x)*(-2 + 0 + 1) + 0*x**4 + x**4 - 2*x**4.\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119573 is divided by 2573?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10120, 10109, 10090, 10063?\n\"Answer: -4*p**2 + p + 10123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27573 and 815171?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/9, -2, -0.3, -1\/2, -0.38?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 3*u = 33, -3*u + 137 = -3*n + 146 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + o - 622, -4*g + 4*o - 5*o = -829. Which is the closest to 0.5? (a) g (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from rprrp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*i - 2, 0 = -5*i + 2*p - 6 + 4. Solve i*l - 5*l = -25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251 = 73*y + 4*m - 1466, 5*y = -3*m + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43\/6 - 17\/3. Let o = -3 + 4. Let l be 5\/2*o\/(-10). Put l, y, -0.3 in ascending order.\nAnswer: -0.3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -229*w**4 + w**2 + 52*w wrt w?\nAnswer: -5496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-6) + 8)\/((-2)\/22). Let i(y) = -15 + 40 + 3*y - o. Calculate i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -1\/6, -4 in descending order.\nAnswer: -1\/13, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16292*f**2 + 32591*f**2 - 16296*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 22*r + 86 = 0, 40 - 126 = -11*k + 4*r for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from {w: 7, u: 5, m: 1, t: 5, b: 1}.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(14) - (sqrt(896) + sqrt(896) + sqrt(896) + sqrt(896)*2))*-3)\/((sqrt(2) - (sqrt(2)*-2 + sqrt(2)))*2*-6*6).\nAnswer: 13*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 785.00116 - 785. What is q rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -39*w. Let j(m) be the second derivative of -14*m**4\/3 - m**2\/2 - 34*m - 24. Calculate y(j(r)).\nAnswer: 2184*r**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.487005 micrometers?\nAnswer: 0.001487005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9101994 is divided by 3033950?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 270, 36, -11, -5, 14 in increasing order.\nAnswer: -11, -5, -4, 1, 14, 36, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5 = u, -3*n + u + 10 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0 + 29*y**2)*(-4 + 3 + 2) in the form f + k*y + p*y**2 and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 6*p + 3. Let f be r(2). Let a(k) = -41*k**3 + 2*k**2 - 1. What is a(f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2291 - -2316. Solve 0 = -3*q - w + 8, -2*q - 16 = -3*w - s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/6 - 145*m + 1. Suppose -u = -3*o + 139, -3*o + 87 = 5*u - 82. Let a(l) = 1 - 48*l - 10*l**2 + o*l. What is k(a(n))?\nAnswer: -200*n**4 + 40*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/16)\/(1\/2) + -6. Solve u*s + 4*v + 32 = 0, s = -5*v - 35 + 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1214924032 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + -154. Let n be 120\/g + (-4)\/(-10). What is the closest to 0 in 0, n, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4921 divided by 766.\nAnswer: 4921\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11907 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p**3 - 6*p**2 - 4*p - 4. Let q(c) = c**2 + c + 1. Give 4*q(y) + t(y).\nAnswer: -21*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((5 - 6) + -2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/12)\/((-20)\/16). Factor 4\/7*q + 0 - 2\/7*q**h.\nAnswer: -2*q*(q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13837458 and 2?\nAnswer: -0.27674916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 1364?\nAnswer: 1363.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/1927?\nAnswer: 8\/1927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-29))**(-10)\/(s**0*s**(8\/3)*s) assuming s is positive.\nAnswer: s**(859\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3535)\/(-4242)*(-16)\/10\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let a(z) = -5761*z + 29216. Calculate p(a(g)).\nAnswer: -11522*g + 58432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + 3*r + 5. What is the tens digit of d(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 30 + (11 - 6 - -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173 and 1384?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d - 252. Let v be 2 - (2 + d)\/1. Let j = -34 - -43. What is the highest common divisor of j and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1234014521 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 10*h**2 + 11*h - 19. Determine d(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 179511451.18 to the nearest 1000.\nAnswer: 179511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00945579115 + -0.009454. What is i rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 774 and 1893188?\nAnswer: 732663756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*m. Suppose 3*p - 261 = 4*r, -m*p = -2*p - 5*r - 87. Suppose 0 = 5*y - j + 5*j - p, 2*y - 24 = 2*j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308 a factor of 1207650278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190479565?\nAnswer: 5, 38095913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237625.\nAnswer: 5, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*p = 2*z + 101*p - 6088, -4*z = -3*p - 12177. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + 0.17. Let q = o - -0.3. Let s = -411\/4 - -103. Is q != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, x: 7}. Give prob of sequence vx.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(6\/(-21) - (-3)\/84). Suppose -2*z = 8, z = -l*r - z + 12. Which is the third smallest value? (a) 4\/17 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.037 + -19.563. Let w = 0.4 - l. What is the nearest to 0 in w, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 15*d + 40. Let o be f(-6). Suppose 3*k - 251 = o. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 4*u**2 + 4*u**2 - 9 - 2*u**2 - u**3 + u. Let x be c(12). What is the highest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 and 2397.\nAnswer: 9588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + 9 + -79 + 64\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - x**2 + x**2 + (-7 + 1 + 4 + 4*x)*(-3*x**3 - 5*x**2 + 5*x**2).\nAnswer: -10*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 21*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - 0.4. Let m = 0.5 - v. Let s be (-8)\/20 + 2\/5. What is the third biggest value in s, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 3818?\nAnswer: 38180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*m + 35 = 142*m. Calculate the greatest common divisor of m and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1582, 1567, 1552, 1537, 1522, 1507?\n\"Answer: -15*n + 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -321)*(-68)\/136. Let m = -643\/4 - g. Solve -1\/3*l**2 + 1\/6 + m*l**3 - 1\/12*l = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1235\/169 + -7)\/(37 - 23).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 619\/60 + -52\/5. Let l(f) = -f**3 - 2*f**2 - 7*f. Let z be l(5). Find the common denominator of (-2)\/(-10) + (-633)\/z and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i. Let m be n(-2). Suppose -4*f = 2*p - 14 - 4, -3*f - 4*p + m = 0. Solve -13 = -4*b - 5*y, -5*b + 1 = -3*y - f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 5, a: 1, s: 3, p: 2, g: 6}. What is prob of picking 1 s and 1 g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21831 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9688130 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, -16, -54, -122?\n\"Answer: -15*y**2 + 37*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1836 and 82926.\nAnswer: 497556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110 - -204?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.133564159 rounded to three dps?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v + 3*g - 15 = 0, -3*g + 3 = v. Solve -v*z - 5 = 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in 1, -0.1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*w - 5*w. Let t(r) = -5*r**2 + 11*r + 12*r - r**2 + 5*r**2 - 3. What is the remainder when t(19) is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 3*c**2 - 4*c - 189 + 195)*(5 - 5 + 2*c**2).\nAnswer: -6*c**4 + 2*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -12, -1, 26, 75, 152, 263, 414?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -6\/437, 1, -2\/13, 5\/2, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96422380739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is be82 + 8?\nAnswer: be8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*y - 121*y - 10*y = -21*y - 23668 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1333.65 + -1387. Let x = i + 44.2. What is x rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 95) + (165 - (238 + -72))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + r = 29, 3*y = -120*r + 116*r + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15700*t**5 + 6581*t - 5?\nAnswer: -314000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 7*p**2 + p**2)*(14*p**2 - 20 + 20) + 87*p**4 - 1930*p**2 + 1930*p**2 - p**4 + 3*p**3 - 3*p**3.\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*c - 9 = 0, -m + 2*c + 4 = -12. Calculate the common denominator of 11\/20*(-8 - m) and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251893 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2, -46, 0.2?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*x - 16 = 0, 0 = -4*d - 3*x + 7*x + 24. Find the third derivative of -d*j**3 - 6*j**2 - 57*j + 57*j wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 99. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = -5*t + 10, -5*f = 3*t + 25. Let j = 28 + -113\/4. Let s = -1.9 - -2. What is the closest to j in t, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 17940325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1472 divided by 4.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2. Let h(o) = 124*o. Calculate h(t(q)).\nAnswer: -248*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j - 6. Let d = j - -15. Suppose -3 = -3*r + 3, 4*r = -2*u + d. Calculate the highest common divisor of 18 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.574038966 to four dps.\nAnswer: -0.574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-96)*-2)\/((-1)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, -128, -2456, -6986, -14450, -25580, -41108, -61766?\nAnswer: -88286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 1. Let a(z) = -5*z + 3. Let p = -7 - 13. Let b be (35\/p - -2) + 86\/8. Determine b*k(f) - 4*a(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 26*x**2 + x**3 + 30*x**2 + x - 57*x**2 + 5*x**4 in the form h*x**4 + t*x**2 + j + l*x + q*x**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*r + 4*b, 2*b = -r - 4*r + 46. Suppose 5*k = -a + r - 77, 68 = -5*k - 2*a. Let p be (-4)\/k + 111300006\/(-21). Round p to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 6*g**2 - g**2 + 5*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5787, -2\/5 in descending order.\nAnswer: 5787, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 6158?\nAnswer: 43106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145983\/15050 - -1\/7525. Calculate the common denominator of v and 1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112222111 (base 3) to base 7.\nAnswer: 43561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/120 - z**5\/60 + z**3\/6 + 3*z**2 - 120*z. Let s(n) = 10*n**3 + 6*n**2 - 9. Calculate 6*j(k) + s(k).\nAnswer: 4*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let r(a) = 917*a**2. Determine r(s(g)).\nAnswer: 3668*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y + 20 = -3*r, 5*r + 4*y = -29. Let w = -18856 - -18861. Which is the nearest to -2? (a) -3 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24997*-131.9.\nAnswer: 3297104.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((-2 + sqrt(17))*-5)**2.\nAnswer: -4200 + 800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + 13.4. Let j = 9 - n. Let x = 5.7 + -1.7. Put x, j, 1\/7 in descending order.\nAnswer: x, 1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -10\/73 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/8)*r**(2\/59)\/r assuming r is positive.\nAnswer: r**(-279\/472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 131 = -173. Let b(n) = -n**3 + 10*n**2 - 19*n - 26. Let k be b(s). Is k at least -87\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*l + 93 = 0, 0*j = 5*j + 3*l + 70. Let c = -74 - j. Let d = -33 - c. What is the common denominator of d and 25\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61363 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (15 - 10) - 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 33 = -4*j, -5*j + 5*q + 39 = 6*q. Suppose j = -0*t - 2*t. Put -5, t, -2 in increasing order.\nAnswer: -5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -57. Let c(d) = -d**3 + 113*d**2 - 324*d - 643. Let i be c(110). Solve 5*h + i = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/152441303 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*-1)\/1 - (-132)\/33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 18*v - 2 + 5*v + 0*v as o*v + z and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6740263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44*2*((-51)\/119 - ((-14)\/(-196) + -1))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48928974 and 348?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -13. What is the closest to y in -0.4, -0.3, -9\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (1 - 2) + 2 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151929119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 44850.\nAnswer: 89700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let m be (-8)\/20 - 126\/(-15). Let p(w) = 19*w - m*w - 13*w. Calculate i(p(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/5*(-36)\/(-15) + -4. Suppose 4*g - g - 300 = 0. Calculate the greatest common factor of o and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/26 + (-7015)\/299 + 0)*1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/11)*r\/(r*r\/r**(2\/59)*r)*r**(-3)*r*r\/(r*r\/(r\/(r*r*r**(1\/42)*r))*r*r)*r assuming r is positive.\nAnswer: r**(-225223\/27258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-5) - 9 - -32. Differentiate 2*q**3 + 2 + 3 + 2 - v*q**3 with respect to q.\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27049*m**2 - 4 + 2 + 11259*m**2.\nAnswer: 38308*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -5 (c) 0.13 (d) -18 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + -2.5. Let f(p) = -9*p**2 - 1. Let d be f(1). Let w be (-13)\/5 + 4\/d. What is the closest to -0.1 in w, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272880 and 18432?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23035.1 + 23035. Put -0.07, 93, -4\/5, j in descending order.\nAnswer: 93, -0.07, j, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q**2 + 4*q**2 + q**3 + 8*q**2 + 5 - 18 as n*q**3 + u + x*q**2 + p*q and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 3 = -27. Let f be (l - 2)\/((-9)\/(-252)). What is the units digit of (f\/6)\/(1\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**3 - 6*d**2 + 5. Let b(v) be the third derivative of -v**6\/40 - v**5\/20 + v**3\/2 + 9*v**2. Let f(h) = 5*b(h) - 3*j(h). Factor f(t).\nAnswer: 3*t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((14 - 6) + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3548.1 + -3548. Which is the nearest to -1? (a) 27 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2\/7 + 40050*d\/7 + 4035000\/7 = 0.\nAnswer: -100, 13450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2963 and -13?\nAnswer: -38519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooqvooovooqqoqooqoo. Give prob of picking 4 q.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 552162.9 from -0.003.\nAnswer: -552162.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.354 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3586940 and 2380.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-116)\/24)\/(-1)*(-7200)\/(-12600)\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1005 + -1004.5. Let k = 5 + -9. Sort h, -1, k in descending order.\nAnswer: h, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1146*u - 388 wrt u.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732664378?\nAnswer: 2, 809, 452821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156 and 3.6?\nAnswer: 561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -107*j**3 + j**2 - 28*j + 27. What is y(1)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r**2 + 6*r + 4. Let b(q) = -125*q**2 - 85*q - 55. Let w = 122 + -67. Let x(t) = w*n(t) + 4*b(t). Factor x(l).\nAnswer: -5*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*d**2*m*s - 267*d**2*m + 3119*d*m*s + 75*d*m - m*s - 5*m wrt s.\nAnswer: 6*d**2*m + 3119*d*m - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16752 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 17*d**3 + 0*d.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69b + -2893b?\nAnswer: -28290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -723 - -722.9. Does -159 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-195)\/10 - -22 - 1\/(-4)*-26. Sort n, 0.7, 0.07, 2 in descending order.\nAnswer: 2, 0.7, 0.07, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5881, -11827, -17747, -23629, -29461, -35231, -40927, -46537?\nAnswer: -52049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 16*s - 550. Let m = s + 586. Calculate the remainder when m is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijrffririfff. What is prob of sequence jiii?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 3476*x - 13906. Calculate s(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*w + 11 = 319*w + 1181 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 176?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4 = x, -5*a + 4*a = 2*x - 1. Let f(j) = 55*j**2 + j + 1. Is f(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*p**6 + 119*p**5 + 4*p**2 + 2*p - 824 wrt p?\nAnswer: -2520*p**3 + 7140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (59 - 1) + (-2 - -9) is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 5:15 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -343606337 divided by -5?\nAnswer: 343606337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by -9.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 28*v**2 - 23*v + 178. Calculate w(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4104 (base 7) to base 12.\nAnswer: 9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, n: 2, k: 7}. What is prob of picking 4 k?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -11\/12*x**4 + 0 + 13*x + 0*x**3 + 0*x**2. Let f(t) = -t**2. What is h(f(o))?\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/3*95\/266*-7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 90*x - 602. Suppose -3*t = -27 - 3. Calculate the smallest common multiple of t and o(6).\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -2*o + 11, 2*s = o. Suppose -4*l = o*d - 48, -4*l + 52 = -2*d + 3*d. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 8364.\nAnswer: 1\/4182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 20. Let a = -53 + i. Suppose -3*g = -0*g + 6. Is a equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 10*s**3 - 15*s**3 + 5*s**2 + 24*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9030 a factor of 761951400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -260*a**4\/3 - 3901*a**3 - 17725*a**2 - 42212*a\/3 - 160 = 0. Calculate a.\nAnswer: -40, -4, -1, -3\/260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d - 1 = -5*i, i - 11 = 4*d. Is i at most as big as 1\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 < 1831\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*j + 664*j = -54. Let o(z) = 4*z - 27*z + j*z + 12*z + 4*z. Let p(b) = -14*b**2. Give p(o(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 - -14204?\nAnswer: 14279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/6)\/(8\/12). Let n(o) = 5*o - 2. Is n(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:44 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4163 or 4164?\nAnswer: 4163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 - 2*y + 9. Let x be o(-7). Suppose 4*f - 8*f + 368 = 0. Calculate the greatest common factor of x and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d + 3*d + 8*d.\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 187 = 5*n - 579, -3*a = -3*n + 456. Let p = n - 149. Solve -f - 3*f - g - p = 0, 2*g = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7123, -56833, -191721, -454375, -887383, -1533333?\n\"Answer: -7098*i**3 - i**2 - 21*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133789368 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136 + -1132?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6973000 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 102 (b) 1\/8 (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -34016 > -68031\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60.6 + -62. Let t = l + 1.028. Let w = -0.06 - t. Round w to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225 + 225 + 9*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1200*h + 1365. What is the smallest common multiple of o(-1) and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 19. Let b be 3\/6*(11 - -3). Let c be d(b). Solve 0*j + j + 4 = -k, 0 = 3*j - k + c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v - 2*v)*(-2 + 2*v - 3 + 4)*(-1 - 6 + 5)*(1 - 1 + v).\nAnswer: 24*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0286 to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0562962 and 3.12.\nAnswer: 3.1762962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -856991.20033 + 857030.2. Let s = -34 - -73. Let t = j - s. Round t to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q**3 - 2*q - 1. Let w be y(-1). Suppose -4*g = j - 3*g + 4, 0 = -4*j + 3*g + w. Which is the second smallest value? (a) j (b) -5 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12345 (b) 0.1 (c) -3 (d) -1\/5 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4603, -18440, -41517, -73846, -115439?\nAnswer: -166308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989003081 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 7 = z. Let l(j) = j**3 - 136*j**2 + 401*j - 106. Calculate the remainder when l(133) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**2 + 7*p + 40*p**2 - 13*p**2 - 17*p**2. Let z(f) = f**2 - f. Calculate -y(m) - 5*z(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -18067.\nAnswer: -9\/18067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000179171999 rounded to six dps?\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 264 + 40340*r - 40338*r + 15 in the form d*r + a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - (-3 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g - 44*g - 11949 - 1751 = 539*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 7*s - 9. Let w be x(4). Let j(t) = -t**2 + 3*t + 2. Let o be j(4). Let b = w - o. Solve 5*y + b = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/1815 and -47\/297.\nAnswer: 16335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*u**3 - 516*u**3 + u + 166*u**3 - 14*u**2 + 159*u**3 to the form m*u**3 + f*u + j*u**2 + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18291 + 0.1756. Round d to 4 dps.\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073378524 a multiple of 3092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*4\/64)\/((-3)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007713 is divided by 380.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4762762 is divided by 275?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 697 in ascending order.\nAnswer: -1, 7, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16963 in -15, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3.8. Let o = 0.6 - m. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + ((-4 - -3) + -16 - (0 - 12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19927, -39899, -59871?\nAnswer: -79843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwghhxggww. Give prob of picking 2 g and 1 w.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:12 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3*70\/(-21). Solve 8 = -2*h - 3*s, f*s - 6 = -2*h + 14*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 6962*s**2 - 824640*s - 24631200.\nAnswer: -(s + 60)**2*(s + 6842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != -5\/1047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52461 and 27.\nAnswer: 52461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 131 - 3*t - 446 + 149.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x - 24*x - 6*x)*(67*x - 103*x - 85*x)*(3 - 2 - 3).\nAnswer: -3872*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/80)\/(3\/(36\/(-3)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/1 + (-15604)\/1416 + 5 and 145\/54.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 11*n - 61. Let w(q) = 3*q**2 + 33*q + 184. Let i(d) = 8*m(d) + 3*w(d). Let h(p) be the first derivative of i(p). Give h(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, 46, 12, -36?\n\"Answer: -7*a**2 + a + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10664 + 21370657\/2004. What is the common denominator of a and 41\/3674?\nAnswer: 22044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 64. Let l(p) be the first derivative of p**2\/2 - 578. Calculate l(g(q)).\nAnswer: -6*q - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-9 + -1 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481888983.\nAnswer: 3, 367, 439, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*h + 221 = 516*h. Suppose -3*f + t + 403 = 0, 0*t = -5*t + 25. What is the highest common divisor of h and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2113*p + 18016. Determine v(-9).\nAnswer: -1001","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -15093\/242?\nAnswer: -15093\/242","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -6. Let c(h) = 7*h**2 - 2*h + 2. Is c(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 934872 (base 16) to base 12\nAnswer: 3295a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:52 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/((-1215)\/600))\/((-10)\/(-15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(168) + -1*sqrt(168)))\/(-2*sqrt(1452)))\/(-4*(3*sqrt(14)\/sqrt(2) - sqrt(7) - 3*sqrt(175))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (75\/(-5))\/(2 + 14\/(-4)). Let r be a*12\/16*(-4)\/(-6). Solve -4*n - r = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**3*c*c)**6*(c**(4\/3))**(-20))**(-1\/29))**31 assuming c is positive.\nAnswer: c**(2480\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c - 11. Let v(b) = -20*b + 32. Calculate 17*o(q) + 6*v(q).\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -478 + 0?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 49 and -21862\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685559 is divided by 467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**4 + i + 1. Let l(j) = 5*j**4 - 2*j - 3. Let a(w) = -l(w) - 3*q(w). Find the second derivative of a(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.4 in -84, 21, -20.8?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 7*u**3\/3 - 11*u**2\/2 - 1. Let i(t) = 4*t**2 - 6*t. Let y(c) = 3*f(c) - 5*i(c). What is the second derivative of y(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 25, 8 = -4*v + 2*b + 2*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -37. Let v = p + 15. Let t = -4.5 + v. What is the smallest value in 0.5, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(8\/7))\/s*s))\/s*s\/(s\/(s**(4\/7)\/s)))\/(((s**4*s*s)\/s)\/((s*s**(-3\/4))\/s)) assuming s is positive.\nAnswer: s**(-169\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v - 22. Let p be d(12). Let g = p - -18. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171) + 4 + -4)*-6 + (-4*(sqrt(152) - -1*sqrt(152)) - sqrt(152))\/(sqrt(392)*2).\nAnswer: 243*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150743d (base 14) to base 10.\nAnswer: -10238703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -3, -199 in descending order.\nAnswer: 2, -3, -6, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 20*v - 44. Determine i(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-77))\/(138\/(-1012))*34\/2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1420 by -5.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqxe when four letters picked without replacement from exuxquxuuqxequuuxee?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44491032 and 2592?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -989.77 - -880.876. Let a = 4 - 113. Let w = a - r. What is w rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 e when four letters picked without replacement from ttxhtvhxhhevheeh.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5888 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.085, 23, -1\/7 in descending order.\nAnswer: 23, 0.085, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -442131 - -1125?\nAnswer: -441002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*-1*sqrt(72)*1)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, u: 1, k: 10, t: 4}. What is prob of picking 1 u and 1 t?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*c, -c - 6 = -0*s - s. Suppose -l + 424 = -s*f, -5*l = -l - 5*f - 1693. Is l a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = -3*r, 5*q - 7 + 26 = r. Suppose r*g - 98 = 94. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 8*r**2 + 3. Let g be v(-8). Suppose -4*l - 8 = 5*s + 3, -8 = 4*s + g*l. Let k(d) = d**2 + 2*d - 4. Let h be k(-3). Is s > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -7 (c) -6768\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*t - v + 4, -2*v - 8 = -4*t. Suppose -4*l - 2*j - 2114 = 0, -3*l - 5*j = -t*j + 1575. Round l to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -507*m - 14710. What is s(-29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616092478.\nAnswer: 2, 7, 11, 13, 43, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 10. Let h be b(-7). Let p = 6 - h. Let q(c) = -2*c - 1. Give q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-174)\/(-8) + 1\/4. Let i = q + -34. Let g be (3\/i)\/(1\/(-3)). What is the smallest value in -4, g, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 51*a**2 - 102*a + 226. Let y be c(-53). Let w = 5 + -2. Suppose w*b - 89 = 16. Calculate the greatest common factor of b and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 24*u. Let f(b) = 1105*b**2 + 48*b + 1. What is -f(d) - 2*h(d)?\nAnswer: -1103*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 10200*t + 26010000.\nAnswer: (t + 5100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1574, 1579, 1596, 1631, 1690, 1779?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + -1))**2 - (sqrt(7) - sqrt(700)*1 - ((sqrt(7) - (sqrt(63))**2) + -3)).\nAnswer: -150*sqrt(7) + 2750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, h: 1, m: 2, r: 1, p: 2}. Give prob of sequence fh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 4*x**2 + 4*x - 2. Let h be t(-5). Suppose a - 1 = -j, 4*a + h = -3*j + 12. Let o = a - 1. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003 * 11.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 0*m**4 + m**4 + 3*m**2 + 797*m**2 - 797*m**2 + 95*m**4 + 0*m**4 + 0*m**4 + m**4 + (m**4 + m**4 + 0*m**4)*(1 - 3 + 3).\nAnswer: 99*m**4 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/45, -2\/13, 2\/3, 53, -0.3?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -228 + (5 - -19) + 31?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265 - 325 = y - 2*t, 0 = 4*y - 4*t + 128 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0619 and -162.\nAnswer: 10.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.293 * -0.2.\nAnswer: 3.0586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18546045 by 6182015.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 - b**4\/24 - 10*b**3\/3 - 164*b**2 + 1. Calculate v(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/23 + 2072*f**3\/23 + 178248*f**2\/23 + 348192*f\/23 = 0.\nAnswer: -78, -2, 0, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(4 - 1) - -4. What is the nearest to 1 in t, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1454.3 - 1451.3. What is the third smallest value in g, 5, 0.3, 1\/2, 58?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 202272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - a - 2. Let x be f(-3). Let z = -25 - x. Is z at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 - 460.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**2 - 4*v**3 - 2*v**2 - 2*v**2 wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-988)\/(-6)))\/(12\/16).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 125*n**3 - 11175*n**2 + 219760*n + 89700 = 0.\nAnswer: -2\/5, 30, 299\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Suppose 3*b + 406 = x*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -639 - -653. Calculate the smallest common multiple of 56 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, -5, 22 in ascending order.\nAnswer: -326, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -1 (b) -13 (c) -4\/15 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (11 - -7)) + (2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*c = -4, -3*c = 3*m - 35 + 5. Let u(q) = q**2 - 12*q + 5. Let x be u(m). Let k = 67 + x. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3515120, -14060483, -31636066, -56241851, -87877820, -126543955?\n\"Answer: 3*j**3 - 3515128*j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 30*a + 1275. What is the greatest common divisor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 52*x**6 - x**4 + x**3 - 148*x**2 + 2. Let a(j) = -j**6 + j**4 - j**3 - 2. Let v(o) = -a(o) - z(o). What is the third derivative of v(r) wrt r?\nAnswer: -6120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9\/2*c - 11 + 6*c**2 - 1\/2*c**3 = 0. What is c?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21013 (base 6) to base 2\nAnswer: -101100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1256? (a) -4 (b) 2\/23 (c) -1\/12 (d) 2\/13 (e) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdtdtddtbtlktd. What is prob of picking 1 k and 1 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.032 - 44.032. Let z = -39 - g. Let y = 1017\/7 + -145. What is the nearest to 1 in z, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h**2 + 8*h - 11. Let r(q) = 7*q**2 + 3*q - 4. Let s = 15 - 21. Let i(a) = s*x(a) + 17*r(a). Find y, given that i(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1610127246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156771 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q - 6. Let h be a(-4). Let u(l) = l - 7. Let f be u(7). Let r = h + f. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102122001001 (base 3) in base 14?\nAnswer: 5d606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 minus 0.58?\nAnswer: -0.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**4 - 17064*u**3 + 3*u**2 - 58037*u wrt u.\nAnswer: -72*u - 102384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**5*k**3 - 5548*a**5*k + 793*a*k**2 - 2*k**3 - 6*k wrt a?\nAnswer: 180*a**3*k**3 - 110960*a**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-654)\/(-436) - 27\/14. Which is the smallest value? (a) 167 (b) o (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 467415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22370 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.23 + -71. Let y = r + -1.5. Let o = 0.07 + y. Which is the nearest to -1? (a) 0.2 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 133\/(-21) - 1\/(-3). Let p(h) = h**2 + 6*h - 3. Let i be p(f). Let o be 284*(-77 - -2)\/i. What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*3*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/32 and -7\/18376?\nAnswer: 73504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10215004 = 5*n - 2*i, -11*n - 5*i + 10214990 = -6*n. Round n to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -2*d**2 + d**3 + 0*d**6 + 0 + 2*d - 2\/5*d**5 + 1\/3*d**4 + 1\/21*d**7. Determine t so that l(t) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*c - n, 234*c - 237*c = -n + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + (46797\/5031 - -2). Let d be 736\/86 + (0 - 2). Let i = w - d. Calculate the common denominator of -61\/8 and i.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343 - -303. Let j = t - -40.2. Which is the nearest to 4? (a) -5 (b) 2 (c) 3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63346 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62 + -58 + (-6)\/4. Which is the biggest value? (a) z (b) 1\/2 (c) 0.4 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1156467276 divided by 128496364?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -22677860 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 k, and 1 d when four letters picked without replacement from kqqqkddddd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-3)\/(-6 - -3). Suppose 0 = -2*j - 1 + t. Solve 10 = -3*r + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1*(-12)\/8. Suppose 2*j - 2*m = 530, 295 = -5*j + g*m + 1610. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z**2 + z - 4. Let k(b) = -b + 1. Give -6*k(r) - m(r).\nAnswer: 14*r**2 + 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3\/3 - m**2\/2 - 5*m + 2. Let i be x(8). Let s = 109 - i. Calculate the smallest common multiple of 6 and s.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -12. Let n(y) = y**2 - 11*y + 2. Let h = -3 - -15. Calculate the smallest common multiple of k and n(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442498705 by -88499741.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 62*f + 7 = 0. Let d be 1\/((-1)\/(7\/1)). Put d, f, 1 in ascending order.\nAnswer: d, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-4\/9)*b*b**(-3)\/b*(b\/b**(-2\/7))**(1\/13) assuming b is positive.\nAnswer: b**(-1193\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -172, -175, -178, -181, -184, -187?\n\"Answer: -3*y - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-110))\/((-2328)\/1940).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/168*-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -402*d**3 + 7*d**2 - 161*d - 336. What is b(-2)?\nAnswer: 3230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 3 - (0 + (0 - 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31283 + -4526. List the prime factors of u.\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4183*k - 137993. Calculate i(33).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 74\/(-26))\/((-602)\/(-6020)). Which is smaller: -17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 42514504\nAnswer: 8502900.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*a**2 + 111*a wrt a.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -968, -524, -74, 388, 868?\n\"Answer: c**3 - 3*c**2 + 446*c - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)\/b**(1\/3)*b**6*b\/b**(-7\/4))**41 assuming b is positive.\nAnswer: b**(21197\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 0*x - 1\/2*x**2 - 4. Let r(s) = -14*s**2. Calculate o(r(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*d + 58695 - 68271 = 0 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*g**4*q**2 + 2*g**4 + 9*g**3 + 5128*g**2*q**2 wrt g?\nAnswer: -384*g*q**2 + 48*g + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*c = 4*y - 12, -6 = -y + 2*c. Let a = y + 4. Solve -a = 2*o - 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -72, 1175 in decreasing order.\nAnswer: 1175, 7, 1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6 + 23 - 10 - 7 + 25*x**2. Let n(u) = -6*u. What is n(w(a))?\nAnswer: -150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -96 + 103 - ((-3 - -5) + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590701.\nAnswer: 29, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 4228?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 26. Let j be 4\/(-7) + (-480)\/(-56). Let y be b(j). Let h be 117\/45 - 6\/y. Solve -2*l = -3*x + 9, 22 = 2*l + h*l + 2*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 91*i. Let k(b) = -6*b**2. What is k(s(o))?\nAnswer: -49686*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 14*h + 13. Let x be y(-13). Suppose 0 = d - 2*u - 1113, 3*d - 5*u - 3343 = -x*d. What is d rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(18)*6) - sqrt(304)*1*-1)**2.\nAnswer: 101251\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 234 - 89. Suppose -3*l = p + 2*l - i, -2*p - 17 = -5*l. What is the remainder when 13 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/3*1 + -2. Let m be ((-4)\/(-6))\/((-1)\/(-3)). Let g = 1 - m. Are f and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 2*z, 2 = 4*z + 3*r - 4. Solve z = -2*m - 4*c + 20, -m + 2*c - 20 = -2*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.08 times 0.5\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 9*x**2 + 11*x - 7. Let m be t(10). Let k(h) = 3*h**3 - 11*h**2 + 6*h + 2. Let z be k(m). Solve 2*y = -z*l + 5*y - 2, 12 = 3*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2482*f**6 + 22*f**4 - 3872184*f**2 wrt f?\nAnswer: -297840*f**3 + 528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 9\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 607190206 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1947 - 1945 - 2618*a - 2005*a in the form z*a + k and give z.\nAnswer: -4623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 5. Let q(h) = 3*h + 4. Give 2*b(u) - 3*q(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33393233 rounded to three dps?\nAnswer: 0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - d6?\nAnswer: -d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4 - 4)*(6*m**3 + m**3 - 3*m**3).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 9*j**2 + 9*j - 6. Let p be i(-10). Suppose -p*z - 158 = -6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.2, -139207, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:30 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -i + 84. What are the prime factors of i?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003733903 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-135))\/(357\/(-459)).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*p*w**2 - p*w - 9*p - 39*u*w**2 + 8*u - w**2 + 2*w wrt w.\nAnswer: 12*p - 78*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose m = -x*m + 32. Calculate the smallest common multiple of 1 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 13 = 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -30b8549?\nAnswer: 30b8549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34695849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0214 - 0.3214. Which is the smallest value? (a) 0.5 (b) -11\/3 (c) 1\/21 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 2 r when four letters picked without replacement from {g: 6, o: 1, c: 1, p: 1, r: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(5)*2 - (sqrt(5) - (sqrt(5) + (3 + sqrt(5) + 1 + sqrt(5) - sqrt(5))) - sqrt(5))).\nAnswer: 24 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 10. Let k(l) = -4*l + 76. Let v be k(0). Suppose v = w*c - 0. What is the highest common divisor of 95 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129989 is divided by 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -8, 23, 70, 139?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*w + 2385 + 1418 = -3901 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {s: 3, z: 11, n: 4}.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154969 is divided by 201.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2110 or -761?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2570195506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 + 24*t - 36. Let u(r) = -r**3 + 2*r**2 + 25*r - 35. Let m = 38 + -35. Let n(l) = m*i(l) - 4*u(l). Factor n(v).\nAnswer: (v - 2)**2*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8360 - 8359.95. What is the nearest to -0.01 in 0, -0.2, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, f: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 42*w + 54*w + 62*w + 60*w - 288*w + 56*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 1, w: 3, r: 3}. Give prob of picking 2 r, 1 a, and 1 w.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + 3 + sqrt(45) + sqrt(90)\/sqrt(2) + -3 + sqrt(180)\/(sqrt(16)\/sqrt(4)*6)))**2.\nAnswer: -936*sqrt(5) + 7749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -13358 + 2016*k - 3*k**3 + 8*k**3 + 6062 - 2*k**3 - 162*k**2 = 0.\nAnswer: 8, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from qrzrh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13929296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -696, -798, -1054, -1536, -2316, -3466, -5058, -7164?\n\"Answer: -12*f**3 - 5*f**2 - 3*f - 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*w + 3*b, -b - 6 = -3. Let f(o) = 21*o + 6. Let l be f(3). Suppose -2*z - 4*c - 124 = -w*z, -l = -3*z - 3*c. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1 + (-2 - (-384)\/176). What is the closest to z in -1\/3, 29, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 20. Let q be (-2)\/k - 42\/36. Is 2\/21 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 17}. Give prob of picking 3 s and 1 d.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -o + 3, 4*o = 2*m + 18 - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 + 489*g**4 - 486*g**3 = 0.\nAnswer: 0, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -2*m**3\/9 + 58*m**2 - 688*m\/3 - 5639. Factor g(z).\nAnswer: -2*(z - 172)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120051 (base 6) to base 11.\nAnswer: -70a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21508395.\nAnswer: 3, 5, 41, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 9\/4 (c) -0.7 (d) -1.2 (e) 5 (f) -4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -361a?\nAnswer: 3617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 3*o**2 - 4*o + 6. Let l(f) = f**2 + 4*f - 9. Let p be l(5). Suppose m + p = 40. Calculate t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29692\/3 + -9897. Solve -1\/6*f**3 + 1\/2*f + 0*f**2 + c = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4664)\/2226 + ((-6)\/15 - (-93)\/45).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*s**3 + i*s + i - 105854*s**3 + 424*s**2 - 5 wrt s?\nAnswer: 12*i - 635124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/((-2600)\/(-90))*(-14)\/(-735)*50. Suppose v*s**3 + 2\/7*s**4 - 6\/7*s - 4\/7 + 2\/7*s**2 = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 165*f**4\/2 - f**3\/3 - 2249*f**2\/2 + 1119. Find the second derivative of u(n) wrt n.\nAnswer: 1980*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0896345 - 0.4.\nAnswer: -0.3103655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + 0*z + 3*z - 3*z + z + 3*z + (1 - 2 + 2)*(-5*z + 3*z + 0*z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -1\/3*r**3 + r**2 + 3 + 0*r. What is the second derivative of c(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 3. Let v(b) = b**2 + 4*b - 3. Let d be v(n). What is the third derivative of 2*g**5 - 4*g**2 + 2*g**d - 4*g**5 wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9595*k + 681276. Give q(71).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24436 - -34343. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/19 (b) -5855 (c) -73 (d) 3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019288889 to five decimal places.\nAnswer: 0.01929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -5 (c) -163567 (d) 4 (e) 0.2 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 3\/2*b**4 + 0*b - 6*b**2 - 6*b**3 = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 42908436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -k - 11, -4*p - p - 3*k = -35. Factor -5*x**2 + 2*x**2 + 18 + p*x**2 - 4*x**2 + 3*x.\nAnswer: -3*(x - 3)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -1\/420*t**6 + 0*t**3 + 0*t - 1\/735*t**7 + 1\/210*t**5 + 4*t**2 + 0 + 1\/84*t**4. Factor o(f).\nAnswer: -2*f*(f - 1)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2234*q**3\/5 + 7264*q**2\/5 + 7826*q\/5 + 2796\/5 = 0?\nAnswer: -1398\/1117, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -87. Let j = a - 28. Let r(g) = -g + 3. Let b be r(4). Is j <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:45 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1\/z)**(-8\/13) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -49528, -2\/3, -32.2, 0.2 in descending order.\nAnswer: 0.2, -2\/3, -32.2, -49528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*(70\/15)\/7\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2111696693 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6623.617 days in nanoseconds?\nAnswer: 572280508800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/12 + 2)*8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008408 rounded to five dps?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 + -0.08. Let y = 0.1 - w. Let r be 2*3 + 0 + -1. Which is the closest to -1? (a) y (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41869503, 41869502, 41869501, 41869500, 41869499?\nAnswer: 41869498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10 and 8\/1980*34 + 33\/55?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43814.71 weeks to milliseconds.\nAnswer: 26499136608000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 + v - 4. Let q be k(-3). Let f = q - 12. 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: What is the cube root of 84481 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jja when three letters picked without replacement from aajayalyjlyyytb.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -12, -6, 14, 54, 120?\n\"Answer: h**3 - 2*h**2 - 3*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1267, 497\/4 in descending order.\nAnswer: 1267, 497\/4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -17801*r + 11350*r - 5289*r - 3604*r as v + c*r and give c.\nAnswer: -15344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 - 13 = 0. Suppose -3*p + 52 = 2*s, -4*p + z*s - 3*s = -84. Solve 0 = -3*a - a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053660 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 806661677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -123, -2\/11, 83, -36\/101, -4?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*z - 45*z - 90 = 0. Factor 1\/4 + 3\/8*g - 1\/8*g**4 - 3\/8*g**z - 1\/8*g**2.\nAnswer: -(g - 1)*(g + 1)**2*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 3*j**4\/2 - 213*j. Let q(x) = 2*x**2. Give p(q(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/6, 0.2, -1, -67?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982 + 669 - 2*y**2 + 238*y**3 + 311.\nAnswer: 238*y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205292*t + 100848*t + 104445*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (18 - 27) - (0 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*j**2 + 3*j - 3*j) + (13*j - 554 + 554)*(-2*j + 4 - 4).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1369 - 251. Suppose 4*s + 370 = p. Calculate the greatest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339 + -335. List the prime factors of 998*(-5)\/(-40)*v.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -76.38342 and 8.\nAnswer: -68.38342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4501591 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -32 - (89 + -93).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 1, l: 6, e: 2, i: 7}. What is prob of sequence ell?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 63 = -7*d - 9*s, 4*s = -2*d - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojjoljjl. Give prob of sequence llj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 11. Let q be r(-10). Suppose 7 = 6*s - 5. Let n(z) = 3*z**2 - q - 4*z - 2*z**s + 6*z. Determine n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + n + 0)*(0 + 0 - 6).\nAnswer: -6*n - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13013 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 15696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894131.\nAnswer: 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 46. Let s = v - -23. Solve -5*a = -s*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 34583 - 31017 = 0. Calculate the remainder when l is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(243\/(-18)))\/((4\/530)\/(123\/(-205))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 + 1 + 0 - 0. Let z(q) = -5*q + 280. Let y(f) = 14*f - 745. Let l(g) = -3*y(g) - 8*z(g). Give l(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 183, 255, 315, 363, 399, 423?\n\"Answer: -6*s**2 + 102*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3272*r - 3278*r + 54 = 0. Suppose 0 = -r*j + j + 616. What is the least common multiple of j and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -4*h, -5*h + z + 28 = -0*z. Let f(j) = j**2 + 5*j + 5. Let r(y) = -y**2 - 4*y - 4. Give h*r(s) + 4*f(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -814748, -814465, -814182, -813899, -813616, -813333?\nAnswer: -813050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -641821 (base 11) to base 5.\nAnswer: -230332232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120602 is divided by 328?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 10. Let v be t(3). Let f(j) = -j**2 - 9*j - 5. Let k be f(v). Calculate the highest common factor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**16*l)\/l)**(-16\/5) assuming l is positive.\nAnswer: l**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26504614 to the nearest integer?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/980 and 95\/6?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(8\/9)*g*g)\/((g\/g**8)\/g*g) assuming g is positive.\nAnswer: g**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmuu when four letters picked without replacement from gnnnggccnmuuu?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 89*l + 5239. Let m be r(-59). Let t(u) = -26*u - 313. Give t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 697916 + -19310637806\/27669. Is w greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156745 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**2*x**4 - 18*g**2 - 70708*g - 1918*x**4 + 41*x + 1 wrt x.\nAnswer: 40*g**2*x**3 - 7672*x**3 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2 + 70. Suppose 3 = -5*v + j. Let a be (-46)\/(-6) + (-10)\/15. Solve -v*w - 11 = f, w - 2*w - a = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -650*z**2 - 5*z - 10. Let m(h) = 66951*h**2 + 516*h + 1032. What is -516*b(w) - 5*m(w)?\nAnswer: 645*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + (7 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001875902953 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*h + 54*h - 300. Round h to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/5 - 2*m**3\/5 - 7*m**2\/5 + 4*m - 12\/5 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11221 - 11068. What is the remainder when 641 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11 + 3*d - 3 - 33 - 1. Let z be x(14). Let o(n) = 2*n**3 - 6*n**2 + 6*n - 6. Let j(b) = b**2 - b + 1. Give z*j(u) - o(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11\/66*((-108)\/8)\/(-9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 - 63*u**2 - 61560*u - 2997744 = 0. What is u?\nAnswer: -76, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 - -113. Suppose -2*b = -5*d + 9 + 4, 5*b - 2*d - 20 = m. What is the highest common divisor of b and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54400041 = -4*p + x - 4*x, 3*x = 9. Suppose -2*d = l + 6799992, 2*l + 11*d = 13*d - p. What is l rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*r - 123. Suppose 0*m + 2*m - r = -5*n, -n = 4*m - 60. Let h(d) = -12*d + 1. What is the remainder when h(-2) is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3194*f**2 - 6405*f**2 + 3275*f**2.\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(52) + sqrt(13) - (-1 + sqrt(637))) + -3 + 1 + sqrt(1300))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56339758 is divided by 663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*o + 20*o - 13*o)*((-3*o + 5*o - o)*(3 - 5 + 1) - 3*o + 4*o + o) to the form a*o**2 + i*o + v and give a.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*s + 10 = 0, 7*y - 3*y - 34 = -2*s. Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 179, -420, -1331, -2554, -4089, -5936?\n\"Answer: -156*i**2 - 131*i + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -65945*o**3 - 7*o**2 - 24*o - 17. Is l(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.22? (a) -0.5 (b) 23\/3 (c) 0 (d) 4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7109 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 - 2 = 0. Suppose 2*x = 3 + 3. Suppose -x*a + 59 = -g. Solve 3*l + 2*l - 6 = -3*n, a = 3*l - 4*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6bc6 (base 16) to base 15\nAnswer: -8295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*n = -22, -2*d - 12*n + 19 = -15*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + -28. Let y = a - -443\/7. Which is greater: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5 + 3 + -5 + -2 + (sqrt(1584) - (sqrt(1584) + 1 + sqrt(1584) + sqrt(1584))) + sqrt(1584) + (-1 + sqrt(1584)*-1 - sqrt(1584)))*-5)**2.\nAnswer: 1800*sqrt(11) + 356422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7376.1 - 7376. Which is the closest to 1\/4? (a) 0.9 (b) h (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84340971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-8 - -2) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*w - 7*w. Calculate the greatest common divisor of w and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 124, 164, 174, 142, 56, -96, -326?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five halves of a centimeter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 124258*p\/5 + 21807456\/5.\nAnswer: 2*(p + 176)*(p + 61953)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*m + 55, -5*m = i - m - 40. Suppose 11*u = 6*u - 2*n + i, 3*n - 23 = -4*u. Let q(o) = -2*o**2 + 2*o - 1. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.2 (b) 2 (c) 3 (d) -1\/9 (e) -11879\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -2. Let j(g) = -7*g**2 + 4*g - 2. Let o be j(1). Let m be (-296)\/(-70) + o - 8\/(-14). Which is the nearest to p? (a) 3 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/8 (b) 4\/11 (c) 1\/2 (d) 6 (e) -4\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -79878470 + -1176?\nAnswer: -79879646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let s be 3 + 0\/2 + -1. Which is the second biggest value? (a) s (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-15))\/((-1)\/(-6)). Let c be (1 - (1 + z))\/(-2). Let y = 0 + c. Is 1\/9 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 2037.\nAnswer: 8148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/572490 and -137\/4160094.\nAnswer: 62401410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546 - 4916\/9*j + 2\/9*j**2 = 0 for j.\nAnswer: 1, 2457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d + 2. Let q be x(0). Let i(b) = 3*b + 1. Does 3 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 times 0.08625968?\nAnswer: 3.19160816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10000 divided by 1000\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 7)*(-12 - 12*l + 12) - 2*l + 3*l - 4*l.\nAnswer: -99*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*k - 634*k + 46 + 295*k.\nAnswer: -6*k + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 136, 330, 622, 1024, 1548, 2206?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8646293 milligrams in grams?\nAnswer: 0.0008646293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21604 (base 9) in base 14?\nAnswer: -5325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21789217?\nAnswer: 2437, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from fkkkhkvkkkfvhhfkh?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/6*189\/126 + (-30)\/3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 68*i**2 + 281*i - 7. Determine s(-6).\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 27*a = -9430. What are the prime factors of a?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 60 = -11*n. Calculate the remainder when n is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 51. Give g(16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 6776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 7*t + 4. Let c(b) = b**2 + b + 1. What is 6*c(z) - x(z)?\nAnswer: 4*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 - n**3 - 4*n**2 + 2*n**2 to the form p*n**2 + x*n**3 + j*n + o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3382 and 19758?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 3*j**2\/2 - 14*j + 2. Let g = 500 + -487. What is the units digit of s(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1\/840*p**8 + 0*p + 1\/15*p**3 + 0 + 1\/525*p**7 - 1\/150*p**6 + 2*p**2 + 1\/60*p**4 - 1\/75*p**5. Factor k(s).\nAnswer: 2*(s - 1)**2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -2*c - 2, -15 = -3*a - 2*c. Solve 1 = -3*x + a*q + 32, -5*q - 21 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1815587 > -1815590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2181750, -7 in ascending order.\nAnswer: -7, 0, 2181750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118839 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5331 + 2)\/(2\/(-4)). Let y = 1329119 + -13184509\/10. Let c = y - x. Calculate the common denominator of c and -67\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(162) + (sqrt(162)*1*-5)**2.\nAnswer: 9*sqrt(2) + 4047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8532.011 kilograms?\nAnswer: 8532011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1340 and 2150?\nAnswer: 288100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 1. Suppose -2 + 15 = t. Let b = t + -12. Let i(d) = -d + 3. Give b*i(y) + 3*v(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16329 + -19402. Which is bigger: o or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:41 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1142567 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 + -95.5. Let n = a - -14.3. Round n to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**3*v**4 - 2*g**3*v**2 - 7*g**3*v - 4*g**2*v + g*v**3 wrt v?\nAnswer: 228*g**3*v**2 - 4*g**3 + 6*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -127768 (c) -6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -3*m**2\/2 + 14*m + 1640. Give r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 64*c - 115. What is g(27)?\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 485 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041860303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 26*j - 32. Let y be t(-12). Which is the nearest to y? (a) 0.2 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 130, -0.4, -6, -0.03, -0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*l - 1370 = u, l + 2069 = 3*u. What are the prime factors of u?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -11. Suppose -9 = -t - r, t + x*r - 21 = -4*r. Solve f = t*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -15\/1431119?\nAnswer: -15\/1431119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28225 smaller than 28225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = n - 0, -5*n - 3*q = -18. Suppose -16 = -g - n*g. Solve 0 = -2*s + g*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 0.1. Let k = -57258 - -57255. What is the closest to 0.2 in -0.4, 5, k, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/7 + 4*k**4\/7 - 44*k**3\/7 + 32*k**2\/7 + 6*k - 36\/7 = 0. Calculate k.\nAnswer: -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/11 - 13224*u**2\/11 + 29145696*u\/11 - 21412371328\/11 = 0. What is u?\nAnswer: 2204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 3*g**2 + 12*g + 1. Let w be f(5). Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - 69) + -3 + 1. Let v = k + 60. Solve a = -3*n - 1, v = 2*a - 5*n + 18 - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 845\/20*-2*2. Let x = 44 - n. What are the prime factors of x?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -21. Let a be (-10)\/3*(5 + n\/2). Solve r + 5 = g - 0, 0 = g - 3*r - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36411 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5 - 7. Suppose 0 = h - 2*h. Suppose h = -0*s - b*s. Solve 3*n = -4*g - s*n + 17, 19 = 4*g + n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d = 370 + 53 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**3*w**2 - 4814*o**3*w - 16*o**2*w**2 - 2*o**2 + 2*o*w**2 + o*w wrt o?\nAnswer: -24*w**2 - 28884*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5432*v = -a - 5430*v - 12, 0 = -4*a + 2*v - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -305, 3\/5, -3\/5.\nAnswer: -305, -3\/5, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1048 + -36683\/35. Let m = t - 2\/35. What is the biggest value in -4, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 11*h**2 - 4*h - 8. Let z be x(-11). Let j = -25 + z. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.51362ml in litres?\nAnswer: 0.05151362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 16*c + 36. Give o(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4 - 8020*f**3 + 112554*f**2 - 474692*f + 563360 = 0. Calculate f.\nAnswer: -4024, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 + 39*o**2 + 45*o**2 + 3*o - 14*o**3 - 86*o**2 in the form z*o**2 + u*o**3 + w + n*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122275760 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 5*x**7\/21 + 275*x**6\/2 + 21321*x**5 + 53045*x**4\/3 + 2*x + 1225. Solve w(z) = 0 for z.\nAnswer: -206, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 - 1.6. Let n = j + -9.6. Let f = -10 - n. What is the second biggest value in -5, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1687 + 913. Let m = t - -774.0319963. Let x = 0.032 - m. Round x to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 645 - 643. Let j(w) = 2*w**2 + 2*w. What is the remainder when j(-2) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from gowtgtttwgo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*n - 3, 2*w + 5*n = -3*w + 30. Let v(o) = -o**w + 69 + 63 - 36 - o. What is the units digit of v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 78 = y. Let u = 639 - -189. Suppose -u = y*a - 10*a. Calculate the highest common factor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3998 is divided by 90?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57608 is divided by 1653?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12190)\/(-6) + 10\/(-6). Suppose -4*d - l = -14*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.6 and -954?\nAnswer: 953.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7267609*t**3 + 3*t**2 + 60826847?\nAnswer: -21802827*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 923719464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -1 + 2\/6*0. Suppose 5*a + 5*g - 4830 = 0, 5*a = a + n*g + 3885. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*y + 680 = -1020, -y - 4 = 0. What is the remainder when h is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*3)\/(sqrt(5) - (sqrt(125)*2 - sqrt(5))))\/((sqrt(1008) - (6*sqrt(1008)*1 + sqrt(1008)))*2) + 2.\nAnswer: -sqrt(2)\/384 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 - 1. Let h(j) = j**2. Let m(w) = -5*h(w) + i(w). Suppose -o - 2 + 1 = n, 3*o = 2*n - 13. Let f(t) = 5*t**2 - 4. Give o*m(p) + f(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = -4*g + 61, 2*j - 2*g = 26. Solve -j*v = 3*v - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 219, -2, -3, -9, 4 in descending order.\nAnswer: 219, 4, 0, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/(-4) - 1\/4. Let a be d\/((-5)\/(-2) - 1). Does 18 divide 6*((1 - 2) + a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 178\/(-5))*10?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58469?\nAnswer: 59, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 14, -2\/11, -0.1, 0.2, -3\/5, -596\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/36 and 59\/37344?\nAnswer: 112032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 366*u - 7412. What is f(19)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22679 + 22679.1. Which is the second biggest value? (a) 1260 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.197353 (b) 0.1 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 17. Let d = x + 9. Which is the smallest value? (a) 3 (b) d (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1438350 and 25800?\nAnswer: 5753400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {q: 1, m: 3, t: 3, i: 2, y: 2, h: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -65, -114, -179, -266, -381, -530?\n\"Answer: -v**3 + v**2 - 35*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 s, and 1 q when four letters picked without replacement from {s: 6, q: 1, l: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 9*s**2 - 2*s + 9. What is m(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let p(j) be the first derivative of j**4\/4 - 2*j**3 + 3*j + 48. Let l be p(6). Sort 2, u, l in increasing order.\nAnswer: u, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t. What is p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*h + 12, -4*h - 20*b + 16*b = 16. Suppose 2*x + 45 + 11 = 4*m, 5*x = 3*m - 56. Solve h = -4*t - 4 + m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-3)\/a*a))\/(a\/(a**0\/a)))**(-11) assuming a is positive.\nAnswer: a**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 6. Let j be (5 - (-38)\/(-6))\/(2\/(-9)). Let t(g) = 20 + 7 - 3 + 12*g - j*g. Let v be t(-4). Give p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170432980681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19668420 divided by -182115?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:27 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -528?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = 0. Let d be 0 - k - (-487)\/(-3). Let i = -161 - d. Which is the nearest to -1\/4? (a) -3\/7 (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*3\/44. Let j = h - 39\/110. Let c = -14067.96 - -14068. Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 - 2*g + 8. Let w be f(6). Let x be 2\/5 - w\/(-20). Factor -3\/4*k**x + 0*k - 1\/2*k**3 + 1\/4.\nAnswer: -(k + 1)**2*(2*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 2*j**2 - 5*j - 13. Suppose 42 = -3*d - 11*n, 5*d - 3*n = -23 + 17. Determine p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4473 and 98991963.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*p**2 + p**3 - 4*p - 612 + 1217 - 607 + p in the form x*p**2 + d*p**3 + w*p + y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3074*o - 36483 = 8625 - 8220 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.25 + 22. Let p = o + -4.75. Which is the closest to -1? (a) 1\/6 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41296 and 21040312?\nAnswer: 42080624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 190084466 divided by -635734?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j + 1. Calculate the remainder when (-13 + -1)*16\/(-8) + (-3)\/1 is divided by n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*c = 2*i - 9, 2*i = -5*c + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 3 (c) 0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - 4*n - 1. Let k(j) = 74*j + 899. Let p be k(-12). Let d(o) be the first derivative of -3*o + 7 - 11\/2*o**2 + 14\/3*o**3. Give p*x(f) - 4*d(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -594 - -623. Calculate the remainder when 224 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22659266, -22659267, -22659268, -22659269, -22659270?\n\"Answer: -c - 22659265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424 - 416. Let o(s) = s**2 + 2*s - 64. What is the remainder when 125 is divided by o(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)*o**(-3)*(o**(-17)*o)\/o*o*o**21*o*o)**11 assuming o is positive.\nAnswer: o**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1645722.\nAnswer: 2, 3, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(1\/20))**(-13) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 33 = -2*d + 7, -33 = -4*y + d. Suppose 2*x - 116 = -2*x. Calculate the remainder when x is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790785 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 3*w**3 - 2*w**3.\nAnswer: w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:03 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 36*r**2 + 14*r + 139. Is 82 a factor of l(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkgkggkggk. What is prob of sequence gkk?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1\/5 (c) -2\/5 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 1. Let q(h) = h**5 - 5*h**2 - h - 5. Let g(i) = -q(i) - 5*x(i). What is the second derivative of g(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -18. Let b be 0 - (n + -2 + 0). Suppose -40 = -3*g - 5*o, -o + 10 = 3*g - 2*o. Solve 2*c + 4 = -h + 2*h, g*c + 3*h + 32 = b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17586350 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = 5*o - n, 0 = 4*n. Suppose o*j = 3 + 15. Let k be -1*2*(-45)\/6. Calculate the highest common divisor of j and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {x: 1, s: 1, o: 3, p: 5, e: 1, j: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**5 + 0*t**5 + 3*t**5 + 4*t**5 + t**4 - t**4 + t**5 + 0*t**2 + 0*t**2 - t**5 + 0*t**2 + 0*t**2 + (-3*t + 5*t - 3*t)*(-2*t + 2*t - 2*t**4).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwflwldlnl. Give prob of picking 1 f and 1 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21996 divided by -12?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385 - 381. Let p = -0.3 + -0.7. Let h be 0 + ((-2)\/(-12))\/(-1). What is the third smallest value in p, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 1, u: 1, e: 1, i: 2, v: 2}. Give prob of sequence iivu.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 69 = -13*l + 3*i, -l + 5*i + 41 = 0. Solve 5*w - 5*q + l = -14, 4*w - 5*q + 45 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3132031331 (base 4) to base 8\nAnswer: 3361575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 20060?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {y: 7, m: 6, h: 2}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**2 - v + 1. Let r(u) = -24*u**2 + 206*u + 7. Determine 5*b(c) - r(c).\nAnswer: -c**2 - 211*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.23 + 5.93. Let m(n) = n**2 + 3*n - 5. Let i be m(-5). Which is the third biggest value? (a) -0.07 (b) -1 (c) f (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 202928, 202917, 202906, 202895, 202884?\n\"Answer: -11*x + 202939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/42 and -43\/9351?\nAnswer: 130914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 462 - 427. Calculate the lowest common multiple of 63 and m.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**5 - 425*k**4 - 395*k**3 + 2085*k**2 - 1260*k = 0.\nAnswer: -84, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-j - 2 + 2) + 0*j + 3*j - 5*j + 18 - 4*j + 3*j + 63.\nAnswer: -4*j + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*r - 1, -5*r + 16 - 21 = 0. Let a be 1 - -1 - q\/(-2). Solve a*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76724 + -841634\/11. Which is greater: p or 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5705*f**2 - 7*f + 12. List the prime factors of u(2).\nAnswer: 2, 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meyldep. Give prob of picking 1 p and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -5. Let o be 1602\/g + (-8)\/(-16). Round o to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 130*t + 89. Let v(w) = 131*w + 88. Let k(i) = 6*a(i) - 7*v(i). What are the prime factors of k(-4)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058352031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -699 + 691. Which is bigger: -15 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.54 + 0.46. Let q = 0.5 + -2.5. Let f = 147.5 + -147. Which is the closest to q? (a) z (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 4128.\nAnswer: 825.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r - 145314 + 144534 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, 2, 2965, -8, 4 in decreasing order.\nAnswer: 2965, 35, 4, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -6, -2, -7, 1453, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 344 + -360 + (34 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (67 - 1413)\/(1\/2*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8, 63 = 5*u - 4*y + y. Let r be ((-12)\/(-75))\/((-3)\/u). Suppose -3*m + 0*m - 9 = 0. Sort r, m, -2 in descending order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(99)*2*-3 - (-3 + sqrt(99)*1 + (sqrt(99) + -1 + sqrt(99) + 2)**2).\nAnswer: -397 - 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1496*x*y**4 + 66*x*y**2 + 2*y**2 wrt y.\nAnswer: -35904*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 112*n - 137*n. Solve n - 33 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -398137\nAnswer: -2\/398137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 27 = 5*y + 16, -6 = -2*y + 5*z. Let s = y - -2. Let p(x) = -12*x + 6. Let r(d) = -29*d + 12. Let i(k) = -7*p(k) + 3*r(k). Determine i(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/8 + 4*s**3 - 6*s**2 - 2. Let c(p) be the second derivative of n(p). Is c(16) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*1\/2*4. Let o + 6*o**2 + 2*o**4 - 3*o - 8*o**3 + b*o**3 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s + 1. What is the units digit of q(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 13. Suppose j = 3*n - 0*n. Let s be (-1)\/n*(4 + -18). Solve 2*o - 2 = -2*m - 2*o, 0 = -m + o + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 395*w**4 + 10075*w**3 - 81685*w**2 = 0.\nAnswer: 0, 17, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2 + 2*y - 3. Let l(m) = 2*m**2 - 3*m - 6. Let c(f) = f**2 - 4*f - 7. Let n(j) = -4*c(j) + 5*l(j). Let i(k) = -2*h(k) + 3*n(k). Give i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + j + 2. Calculate f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y + 6 + 37*y - 8*y - 14*y. Give q(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5551040*a**4 + 2283552*a**3 - 99804*a**2 - 31324*a + 72 = 0?\nAnswer: -1\/11, 18\/7885, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26838107 is divided by 4756?\nAnswer: 4755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = -4*l, 0 = -2*y - 8*l + 6*l + 4. Let q(m) = m**2 - 3*m - 2. Let i be q(4). Differentiate 1 + y - i + 5*g**4 + 2 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(22 + 0 + 18 + 4).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-12)\/(-21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -730, -1021, -1494, -2137, -2938, -3885?\n\"Answer: 2*q**3 - 103*q**2 + 4*q - 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1028149\/5 - 205628. Factor -1\/5*s**4 - k*s**3 + 0 + 9\/5*s + 1\/5*s**2.\nAnswer: -s*(s - 1)*(s + 1)*(s + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85068?\nAnswer: 2, 3, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1124, -2261, -3412, -4583, -5780, -7009?\nAnswer: -8276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((721\/(-14))\/103).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4293, 4269, 4243, 4215, 4185?\nAnswer: 4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 0. Let k = -4 + x. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 - -0.13. Sort 2\/13, x, 4.\nAnswer: x, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -24866061?\nAnswer: 24866065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 12*n + 0)*(-52 + 1 - 35)*(-1 + 3 - 4) to d*n + b and give d.\nAnswer: 2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244 a factor of 141101501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4613246 is divided by 5745?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -28. Let b be (-40)\/p + (-3)\/(-9). Suppose -5*h + b*h - 74 = 0. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = -x + 10, 3*r - 5*x - 46 = 0. Suppose r*t + 9 = 4*t. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2133 is divided by 133?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33037147 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/2 + d**4\/24 + 85*d**3\/6 + 115*d**2. Differentiate w(y) with respect to y.\nAnswer: 60*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Let r be o\/6 - (-13)\/3. Solve -5 = -r*q - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = 4*q + 720 - 1636 - 1387 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15475306?\nAnswer: 2, 7, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-21) - -3 - 2\/7. Suppose -464 = -4*u + 4*w, r*u - 176 = -4*w + 264. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174\/195521 or 1?\nAnswer: 174\/195521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14 = q, 4*q = -10*r + 5*r - 9. Let f(x) = 3*x + 1. Let i = -1662 + 1672. Let h(v) = -7*v - 3. Give i*f(k) + q*h(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5315 (base 7) to base 5\nAnswer: -24444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 65.\nAnswer: -32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + k. Which is bigger: k or -0.104?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*c - c = 165, 2*c = 4. Let r = o + -33. What is the tens digit of 1*r + (-275)\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 33*r**2 + 428*r + 92. Give z(43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/7 and 1*1*(-1)\/8*7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1055*v**3 - 6*v**2 + 6*v + 1. Let t(q) = -4221*q**3 + 25*q**2 - 25*q - 4. What is 25*s(f) + 6*t(f)?\nAnswer: 1049*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -73\/5, -0.01, 0.4, 1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21832501*c**2 - 49*c + 94. Let p be a(2). What is p rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 59. Is 8 a factor of y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44857554 rounded to the nearest 100000?\nAnswer: -44900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -41122 (base 6) in base 11?\nAnswer: -4105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1457423 (base 8) to base 9\nAnswer: -705700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (1 - (-16 + 22)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 12 = -3*r, 2*y + 3 = 7*r - 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-2695)*11*2\/18*135\/(-18)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 4*t + 1. Give g(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 59*m + 36. Let u be s(-30). Let o(g) be the second derivative of 0 + 0*g**2 + 1\/12*g**4 - u*g + 1\/12*g**3 + 1\/40*g**5. Factor o(f).\nAnswer: f*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 7:11 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, h: 1, n: 9, c: 1}. Give prob of picking 1 s and 1 c.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1\/7*s**4 + 0*s + 2\/7*s**3 + 15\/7*s**2 + 0 = 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-2)*54\/81\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99627800 rounded to the nearest one million?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 39. What is the closest to b in 1\/11, 0.1, 5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + x**2 + 4 - 14 - 5*x - x**3 to the form l*x**2 + v*x + u + o*x**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q + 14. Let u(w) = 7*w - 21. Let s(m) = 14*m - 40. Let v(a) = 6*s(a) - 11*u(a). What is -5*b(n) - 8*v(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 104 = 9*r - 5*a, 4*r + r = 4*a + 78 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 2*p**3\/3 + 53*p**2 + p + 24. Determine i(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 + 0)*(2\/8)\/(87\/(-116)). Put 4, -4, -3, j, 5 in descending order.\nAnswer: 5, 4, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-6\/11))\/m**(-8))\/(m**(2\/11)\/(m**7*m*m)))**(1\/2) assuming m is positive.\nAnswer: m**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-36) - 31\/124.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k*((k*k*k**(-19))\/k)\/k)*k*k)\/((k\/(k*k**(-1\/23)))\/k) assuming k is positive.\nAnswer: k**(528\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -57, 6, 0.5?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + 0 - 105\/(-42). Find the first derivative of -12 + 56*f**2 - 15*f**s - 32 wrt f.\nAnswer: 82*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11297 and 2.\nAnswer: 22594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50 and -1197197761945.\nAnswer: -1197197761995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.99 + -0.01. Let o = 3 + l. What is the nearest to 0.1 in -0.3, o, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o - 8. Suppose -2*n = n - 75. Suppose 5*j + 15 = -n. Let u be j + (4 - (3 - 1)). Give q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6503, -43, -5.\nAnswer: -43, -5, 1, 6503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -133*n**3 - 266*n**2 + 4*n + 17. Calculate v(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(7\/3))**(-17) assuming p is positive.\nAnswer: p**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {n: 3, r: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 2*h - 17 - 2, -2*i + 16 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6491\/50 + -8\/25. Let b = 133 - y. Suppose -2*z - 5*i = -23, 25 = 4*z - 0*i + 3*i. Is b > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 32*h**2 - 5*h - 72. Let i be k(32). Let q = -232 - i. Let d = -1453\/28 - -211\/4. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33124557337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + 23429. List the prime factors of f.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/6, -0.3, -2, -238, 20 in descending order.\nAnswer: 20, 1, 1\/6, -0.3, -2, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a + a)*(-24 + 0 + 27)*(3 - 5 - 2).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596 + 572 = -6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(9\/2))\/((-8)\/60). Let q(j) = 2*j + 1. Let f(u) = 3*u + 1. Determine b*q(o) + 4*f(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + x**4 - 2*x**4)*(-4 + 4 + 2) - 326*x**4 - 415*x**4 + 339*x**4.\nAnswer: -400*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((51\/(-2))\/3)\/(12*3\/72)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-18)\/8) - (0 + 3). Let x(o) = -6*o**2 - 12*o - 3. Let k(j) = -4*j**2 - 8*j - 2. Give p*k(z) + 5*x(z).\nAnswer: -2*z**2 - 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 4*p)*((3 + 1 - 2)*(-5 + 7 + 9) - 1 - 2 + 2).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -6*r**3 + 4*r + 16. What is the derivative of i(k) wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*t = 7, -2*r + 4 + 4 = 2*t. Suppose r*g - b - 3618 = 2*b, 2427 = 2*g + b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-30))\/(((-90)\/(-4))\/9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 76217932.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 23. Give r(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/3 - 2*m**5\/5 - 43*m**3\/3 - 176. Find the third derivative of u(h) wrt h.\nAnswer: 120*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Let h(q) = q - 1. Let b be h(8). Let w = 2 + b. Solve 0 = m - 4*r - 16, -r + 0*r = j*m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 70. Let v = k + -25. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 9*q + 19. Give o(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/3 and 41\/1533?\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6184197 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -772 + 625 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -6*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-64)\/(-5))\/(2\/25). Let g = -81 + x. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003768 to 5 decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/34)\/(p*p\/(p*p*p**(-1\/2)*p)) assuming p is positive.\nAnswer: p**(9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 - n**3\/6 - 39*n**2 + 5*n. Let j be k(0). Is (-16470)\/j + 4\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1734*p - 81106 + 294388 for p.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 332 = -5*o, -5*v + 24*o = 25*o - 444. Suppose v*k = 87*k + 10. What is the remainder when 229 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -84. Let t(r) = 2*r**3 + 6*r + 2. Let h(c) = -2*c**3 - 7*c - 3. Give p*h(o) + 3*t(o).\nAnswer: 2*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3 + 2*b**2 + 2610900*b + 719224050 with respect to b.\nAnswer: 3*b**2 + 4*b + 2610900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -257, -264, -273, -284?\n\"Answer: -h**2 - 4*h - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*4\/(-4)*15\/6. Suppose 5*c - 3*n - p = 0, 4*c - 8 = 6*n - 2*n. Calculate the remainder when 4 is divided by 12\/c + 14\/49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -35 - (140 + -84 - -118)\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i - 2. Suppose -5*g + 55 = -5*c, -4*g = -0*g - 3*c - 39. Let w(p) = -203 - 2*p - p + 201. Calculate g*w(b) - 5*a(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28645 + 28645 + 19*s**3.\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/6 - 339\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {k: 5, g: 4, o: 6, y: 4, x: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1620 + -5)\/(-11 + 36\/3).\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-9) - (-3 - 32\/(-12)). Let l = -23 - -49. Suppose -h + 3 = d - 1, c*d + 2*h = l. Solve -4 = 5*p + d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {m: 1, w: 3, f: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -587\/2985 + -2\/597. Sort 1\/42, l, 2, 0.3.\nAnswer: l, 1\/42, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 8*b = 1. What are the prime factors of (49 + -10)*b\/(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 31659?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s + s - 3*s + (-4 + 4 - s)*(-1 - 1 + 1) - 18*s - 2*s - 2*s - s - 10 + 10.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211.233660044 + -43.766341166. Let a = -255 - u. What is a rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-81) - 25\/9. Let y(q) = 6*q**5 - q**4 - 25*q**3 - 38*q**2 - 35*q - 8. Let j(l) = -l**5 - l**4 + l. Let g(w) = r*y(w) - 21*j(w). Solve g(d) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 3*n**4 - n - 3 + 1)*(-13*n + 5 - 5).\nAnswer: -39*n**5 - 26*n**2 + 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2 - 2 + 4 + 7*y - 10. Let k be s(2). Suppose -2*x + x = -2*w - 8, k = 2*x - w. Solve t + x + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 25, 5*s - 286 - 114 = -3*l. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10734 - -365?\nAnswer: -10347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 17. Let b be 4*(n + 12\/8). What are the prime factors of (-4 - b - 5)*-8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 98 + -4 + 1. Let k = v + -61. What is the remainder when (-2)\/(-4)*(k - -1) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 3}. Give prob of picking 2 i and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(44) + -4*sqrt(44) + (sqrt(1100)*2*4 - sqrt(1100)).\nAnswer: 58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 + 2*n**2 + n**2)*(31 + 26 + 2560*n - 57) - 163*n + 28*n**2 + 163*n + n**3 to y*n**2 + c*n**3 + g*n + x and give c.\nAnswer: 5121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*d + 10 = 0, -3*d = -5*u - 2 + 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 152*k - 3 + 2 - 5 to the form y*k + l and give y.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9912.1 + -10018883180?\nAnswer: -10018873267.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(-1)\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - j**2 + j**2 - 5 - 3*j**2.\nAnswer: -3*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*6*(sqrt(931) + sqrt(931) + (sqrt(931) - 2*sqrt(931)) + -1)*-3)**2.\nAnswer: -4831488 + 72576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(32)*-2)*-4.\nAnswer: -4 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 3. Suppose -3*p = -61 - 80. Suppose -5*r + 17 = p. Calculate the remainder when 14 is divided by z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.01315\nAnswer: -0.09205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236990311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4004 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(1100) + 1)**2 + 3.\nAnswer: 100*sqrt(11) + 1128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let c = p + -2.4. Let v = -0.39992 - c. Round v to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 49*a + 950 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5106?\nAnswer: 2, 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p - 1 - 167 = 8*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/7)*r*r**13)\/(r**10\/(r\/(r*r**(-8)))))**17 assuming r is positive.\nAnswer: r**(1598\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 703 - 10323 = 0. What is the remainder when o is divided by 142?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 9 = 39. Let f(x) be the third derivative of x**4\/12 - 2*x**3\/3 - 4*x**2 + 39*x. Determine f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfdf when four letters picked without replacement from ddfffffdffdddd?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 2)*(0*q**2 - q**2 - 2*q**2) + 36*q**2 - 23*q**2 + 38*q**2 + (0 - 2*q + 0)*(q - 4 + 4) - 7*q - 3*q**2 + 7*q as w*q**2 + o + f*q and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13403 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -10. What is the remainder when n is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:16 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:55 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2168257, -2168259, -2168261, -2168263, -2168265?\n\"Answer: -2*n - 2168255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 4, l: 2, k: 4}. Give prob of sequence jl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -22\/10119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:11 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2752 and 9\/10?\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Let d(f) = 8*f - 7. What is 6*b(z) - d(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:39 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.9674g in kilograms?\nAnswer: 0.7879674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 - 4*q - 24. Let g be w(-7). Let x(a) = -9*a. Let y(l) = 19*l. Give g*y(f) + 9*x(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12250255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*l - 8 = 0, 27*n - 26*n - 6 = -3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 11*y + 8. Determine d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.04523065 + -8.045. Round k to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/10 + 3 - (-15215)\/(-10). Let z = i - -778. Round z to the nearest 10.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 5. List the prime factors of b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249512 is divided by 12366.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -5 (c) -0.2 (d) -156669827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v**3 - v**2 - 3*v - 5. Let r(o) = o + 1. Let y = 6279 + -6274. Calculate y*r(p) + a(p).\nAnswer: 11*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/9 + 5464*i**4\/9 - 203620*i**3\/9 + 2348272*i**2\/9 - 7535440*i\/9 - 10092800\/9 = 0. Calculate i.\nAnswer: -1, 10, 19, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111011111001 (base 2) in base 5?\nAnswer: 1402114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 21 - ((-15 - -6) + -133 - 16) - 4?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/90 and 133\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w - 1. Let y be r(-4). Let m = -732 - -737. Suppose -34*i + 36*i = -z + 54, i = -m*z + 27. What is the greatest common divisor of y and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3, 4 + 5 = 3*g + 3*r. Let l = -1 - -7. Let z = l + -6. Which is the closest to g? (a) -3 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 742892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 1350, 1358, 1380, 1422?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o**3 + 9*o + 9. Let j(g) be the third derivative of -g**6\/20 - 5*g**4\/24 - 5*g**3\/6 - 240*g**2 + 4. Determine 5*d(x) + 9*j(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/35 and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1663376 divided by -727.\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (-184 + 77) - 102\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, 17, 5, -128 in increasing order.\nAnswer: -128, -2, 2, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f**2 - 2*f - 9. Let m(a) = -a**3 - 3*a - 10. Let o(g) = -4*m(g) + 5*q(g). Let z be 0\/((-3)\/3*1). Let l be (5*1)\/(z - -1). What is o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -51 and -588 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + -3. Let q = y - -34. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 80. Let f = a + -24. Let t(n) = -n**3 + 5*n**2 - 4*n - 1. Calculate t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -778, -25, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 296 = 26*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 27 = -z - 2*g, -3*z + 6 = -3*g. Let n be 1 + (0\/z)\/(19 - 18). Which is greater: 2\/1211 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 6. Let p be u(4). Differentiate 42 - b**2 + 2*b**p - b - 4*b**2 - 3*b**2 with respect to b.\nAnswer: -12*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**3\/3 + l**2 + 2*l. Let u be z(0). Let m be (-2 - u)*9\/(-3). Calculate the greatest common divisor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 9. Suppose -10 = 4*z - 2*s, -z + 2*s = z + h. Let g be (2\/(-3))\/(-1 - z). What is the smallest value in g, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1275)*1)\/sqrt(3) - -6*sqrt(459)\/sqrt(3))**2.\nAnswer: 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11007606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11316, 20454, 29592, 38730, 47868, 57006?\n\"Answer: 9138*p + 2178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 78. Let r be (v\/(-7) - (-564)\/168)*-6. Let c = 26 + r. Solve 5*a = -10 - c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a12 (base 11) in base 3?\nAnswer: -1012201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/5))\/(m**(-9)\/m*m))\/(m**46*m*m*m**(-3)*m) assuming m is positive.\nAnswer: m**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - d + 190, 3*s + 4*d - 170 = -d. Suppose -18*g + s = -5*g. Let b(z) = -z**3 + 6*z**2 - 4*z - 2. What is b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1287 + 1248 - (3 - 68)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let o(v) = -v + 1. Let c(x) = 3*o(x) + 4*p(x). What is the tens digit of c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2486 and 10?\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(8\/3)*q)\/q)\/q**4*(q*q**11*q)\/q*q*q\/(q**(-1\/4)\/q) assuming q is positive.\nAnswer: q**(167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*d**2 - 5*a + 6*d**3 + 113*d - 2 wrt d.\nAnswer: 6*a + 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (2\/(-3) + 0)\/((-10)\/210)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 5*n**4 - 4*n**4 - 22*n**4 - 237*n**4 + 50*n**4 + (-4 + 2*n**2 + 4)*(-3*n**2 + 0*n + 0*n).\nAnswer: -217*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130 - -634. Let f = o + -498. Let c = 1 + -2. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 105*m - 64. Let c(i) = 208*i - 129. Let y(q) = 2*c(q) - 5*x(q). What is the tens digit of y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23258, -21574, -19890, -18206?\nAnswer: -16522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2041 - 5*f + 2037 - f**4 + f**3 + f**2 + 3*f + 2*f**4 - 2*f**4 to j + w*f**2 + p*f + l*f**4 + v*f**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 19*b + 48. Let d be v(-16). Suppose -11*t + 24*t - 2548 = d. What is the remainder when t is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w + 3*w)*(2*w**4 - 3*w**4 + 0*w**4).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 7*b**4\/2 + 2*b**3\/3 - b**2 - 7*b + 36. Let z be o(-2). Let u = z + 172. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 6*b + 50. Let i be y(-8). Differentiate -i + 47 - 69 + 151*t**3 - 12 - 51 wrt t.\nAnswer: 453*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 66 = -3*j, 5*j = 146*g - 141*g - 100. What is the greatest common factor of 3474 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1. Let m(b) = -7*b + 2. Let c(s) = 2*f(s) - m(s). Let v(t) = t - 13. Calculate c(v(r)).\nAnswer: 7*r - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 14*z - 22. Suppose -19 = 2*v + 13. Let s be p(v). Let q be 1*2 + (-19 - -19). Calculate the greatest common divisor of q and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.8, -0.2 in increasing order.\nAnswer: -0.2, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(864) - (sqrt(864) - 1*-4*sqrt(864))))\/(sqrt(21)\/(sqrt(21)\/sqrt(3)) - sqrt(528)\/sqrt(11)).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, 10, 25, 42, 61, 82?\n\"Answer: a**2 + 10*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 415091 take away 0.0412?\nAnswer: 415090.9588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 9}. Give prob of picking 1 w and 3 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/3*(-6)\/(-4). Suppose 16*b = u*b - 15. What is the units digit of 1\/b + 1323\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4179 and 8039799.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehee when four letters picked without replacement from hehhhehhhhhehhhhhe?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224164 is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(((-6)\/(-2))\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 112.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77308689, 77308685, 77308679, 77308671, 77308661, 77308649, 77308635?\n\"Answer: -r**2 - r + 77308691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - g - 1. Let z be r(2). Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*a - 28*a - 20. Let g(r) = r**3 - 5*r**2 - 35*r - 9. Let w be g(9). Solve 5*m + 12 = a*b - 3*b, w = 3*m - 5*b - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/7)\/2)\/(7 + (-1230)\/175)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7879.171 grams in milligrams?\nAnswer: 7879171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 51909098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 10}. Give prob of sequence jy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -433 - -221523?\nAnswer: 221050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.8 + 9.8. What is the second biggest value in -5, 23\/4, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 270\/(-10) + 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 4*t**2 - 3*t**2 + (-4*t + 6*t - 3*t)*(-t + 4*t + 0*t) - 1 - t**2 + 1 + 8 + 10*t**2 - 14 + 5 - 2*t.\nAnswer: 4*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((2380\/(-153))\/(-35))\/((-28)\/(-189))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 9*s**3 + 106 + 0*s**3 - 50 in the form j*s**3 + d*s**2 + g*s + b and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 6*g**2 - 14 - 5*g**2 + 5*g**2 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 1 + (-4 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -712*k**2 - 6 - 2*k + 709*k**2 - 16*k**3 - 6*k. Let g be n(-1). Solve -3*j = -6*j + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.4494 + 1.4494. What is the closest to -0.4 in -2\/11, -5, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.033 - -0.148. Let r = -9.915 + k. Let n = 6.52 + r. Round n to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2 + 2)*(-152*w**2 + 6*w + 254*w**2 - 7 - 104*w**2).\nAnswer: -4*w**4 + 12*w**3 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (9 + (13 - (13 - 0)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012748797 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (105\/140)\/(3\/16). Suppose -k + 9*d = 11*d - 6, -i*d = -5*k - 12. Which is the closest to k? (a) 5 (b) 12 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/12 - p**3\/3 - 2*p**2 - 3*p. Suppose -26 = -4*c - 6. Let h be v(c). What is the greatest common divisor of 77 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c42 (base 14) to base 9.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2758032 and 30174?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9 + 3*m**3 - m - 20 + 9 + 5*m**2 - 2*m**3. Let p(y) = -3*y**2 - 23*y - 19. Let n be p(-7). Determine f(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114842 and 441700?\nAnswer: 5742100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(3\/2))\/k)*k)**(-31)*k**1*k\/(k\/(k\/k**6)))**2)**(-5) assuming k is positive.\nAnswer: k**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -1\/2, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66118079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, -3, -28, -2, 5, -6 in ascending order.\nAnswer: -267, -28, -6, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5587?\nAnswer: 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 205798181 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*h + 4*o = -580*h + 8, 0 = 4*h - 4*o + 32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 1, a: 2, o: 5, e: 2, d: 5}. What is prob of sequence do?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-36) - 1\/(-4). Let p = -0.5 - -1. Let n = -5 + 4. Which is the second biggest value? (a) q (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108)\/(-20) + 204\/(-510). Let v = -3 - -6. Solve 7*b = h*b - v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*j**2 + 3*j**3 + 50*j**2 - 96*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*p**5 + 4*p**4 + 10*p - 44 wrt p.\nAnswer: -3180*p**3 + 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10707 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230599 at least as big as 2230593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -347 in 2\/21, 1, 3\/61, 0.1?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 10*k**2 + 3*k - 55. Let t be 6 + -6 - (16 + -7). Let i be l(t). What is the biggest value in i, 29, -0.5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 232356*o**4 + 67581?\nAnswer: 929424*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - 5*(sqrt(78) - -2*sqrt(78))))\/(sqrt(54)\/(sqrt(27)\/sqrt(3))).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*c**5\/4 - 2595*c**4 - 35701*c**3 - 228609*c**2\/2 - 527509*c\/4 - 101361\/2 = 0. What is c?\nAnswer: -1469, -69\/7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 0.1, 12 in decreasing order.\nAnswer: 12, 3, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 1:28 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50177123779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 4)*(2 + o - 2 - 1 - o + 1 + (-4 + 1 + 2)*(2 - 2*o - 2) - 4*o - 4*o + 5*o - 3*o + 0*o + 2*o)*(1 - 1 - 2*o) - 3*o**2 + 0*o**2 + o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47029.71 - 47304. What is p rounded to the nearest integer?\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4310322 + -2?\nAnswer: -4310324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 384137270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**3 - 4*c**2 + 21*c - 21. Let t(i) = -18*i**3 - 9*i**2 + 53*i - 53. Let a(l) = 13*k(l) - 5*t(l). Let j be -8*(8\/4 + -1). Determine a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j - 63*j + 17*j + 20*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 252\/(-66)) + (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78378 - -5?\nAnswer: 78384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5 - 1580*j**4 + 76892*j**3 - 304660*j**2 - 6537696*j - 15946560 = 0.\nAnswer: -4, 15, 49, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*-513.045\nAnswer: -1128.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 32) + 52 + -36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 2296, 2, -5\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 39.6. Let g = -4 - z. Let k = -0.3 + g. Is 0 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625993 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*l - 2*l - 8*l)*(-2 - 7 + 0)*(-4 + 3 + 0)*(0 - 1 - 3)*(11 + 15 + 4) as m + h*l and give h.\nAnswer: 3240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(160))\/(1*sqrt(5)*-2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-8) - (-5 - 8718\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w - 28*w + 77*w - 23*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*x + 32247 = -450*x. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14\/55 + 2117\/110. Let a = -1918 + 13383\/7. What is the common denominator of j and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 8 = 2*v. Let k be 3*(1 + v)\/3. Suppose k*b + b = -144000. What is b rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + b + 1. Let u(s) = -45*s**2 - 2. Let g(d) = -2*q(d) - u(d). Let m(j) = j**2. What is g(m(l))?\nAnswer: 37*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3885260 by -971315.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 + 319948*q\/3 - 12795840338.\nAnswer: -2*(q - 239961)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -7*y**2\/2 - y + 52. Suppose -6 = -2*h, 4*s + 3*h + 16 = 7*h. What is l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706992960 divided by -6?\nAnswer: -117832160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32103120 (base 4) to base 3\nAnswer: -2222100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 14\/(-315))*-10. Let 2\/3*f**3 - v*f**2 + 4\/9 - 2\/3*f = 0. What is f?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 2)*1 + 91866 + 47 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 10. Let w(y) = -1. Give v(f) + 3*w(f).\nAnswer: -3*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61450039919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/168 and -31\/140?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (6 + -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 9*t + 20. What is m(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10338899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176858184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 11:40 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34 from 61.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22331, 89280, 200849, 357032, 557823, 803216?\nAnswer: 1093205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -g + 1, -2*d - g = -8. What is the highest common factor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 88*c**2 - 13*c - 427. Does 33 divide v(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -40\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 12*g = -10*x - 9*g - 59, -131 = -3*x - 13*g for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576) + -5*-1*sqrt(576) - (sqrt(576) - (-2*sqrt(576)*-2 + sqrt(576))))\/(sqrt(132)\/(-2*sqrt(11)) + sqrt(36)\/sqrt(27)).\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37.7, 1\/3, -140.152 in descending order.\nAnswer: 37.7, 1\/3, -140.152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2468*u**3 - u**2\/2 - 2644*u - 3310. Find the second derivative of n(k) wrt k.\nAnswer: 14808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*x + 0*x + 2*x)*(-5 + 4 - 1) + 11*x - 4*x - 4*x + (1 - 2 + 0)*(x + x - x) + 2*x + 4*x - 4*x)*((3*x + 3*x - 4*x)*(3 + 2 - 4) + 2*x + 2*x - 2*x).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 236\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2340994?\nAnswer: 2, 1170497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.13218 greater than or equal to -0.032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 429, 647, 863, 1077, 1289?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211424 + 21?\nAnswer: 212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 643 * -1.776\nAnswer: -1141.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 1:01 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849192.\nAnswer: 2, 3, 41, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*j**2 + 26*j**3 - 20*j - 2*j**3 + 15 + j**2 - 5*j**4 - 4*j**3 - j**2.\nAnswer: -5*(j - 3)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.13 (c) 3 (d) -0.5 (e) -9755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17577602 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*w - 4*i, -20 = w + 3*i - 27. Which is smaller: w or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 11*o**2 - 11*o - 14. Let x be l(-10). Let h(j) = j**3 + 4*j**2 + 2. What is h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2987 and 8.\nAnswer: 2995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, t: 5}. What is prob of picking 2 t and 1 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeli when four letters picked without replacement from {e: 6, m: 1, p: 3, c: 1, l: 1, i: 5}.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6478*f + 14*f**3 - 36*f**3 - 6479*f + 2*f**2 wrt f.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174557 and 892161?\nAnswer: 900190449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.1. Let l = -9868 + 394687\/40. Let r = -3\/40 - l. Sort 1, -0.1, r, p in decreasing order.\nAnswer: 1, r, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37172877900 rounded to the nearest 1000000?\nAnswer: -37173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 + 357. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0 (c) -174 (d) -0.4 (e) -4909\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4919\/2 - -51581\/21. Find the common denominator of k and 5\/20 - 91\/(-36).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -95, -268, -531, -896, -1375?\nAnswer: -1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fthy when four letters picked without replacement from {s: 3, y: 1, h: 6, t: 5, f: 2, e: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289906 is divided by 732?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -15884?\nAnswer: -15871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-3 + (sqrt(11) - 1*sqrt(11)*-2) + (sqrt(11) - (sqrt(11) + 1)) + 5).\nAnswer: -54*sqrt(11) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1385 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 63900003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 8*b**2\/3 - 28210*b - 148176 = 0.\nAnswer: -21\/4, 10584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -277781, -557916, -838051?\n\"Answer: -280135*f + 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.609519 to 2 dps.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(5))**2 - (sqrt(405) + 0)) + sqrt(80) + 4 + ((0 + sqrt(5))*1)**2.\nAnswer: -sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 110\/(-2) + 6\/3. Let w = 173 + l. Calculate the smallest common multiple of -1*(w\/(-2))\/3 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z - 3520 - 939 = 0. Round z to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v)\/v)**(-19\/5)*((v\/((v*v**(-3))\/v))\/v*v*v)**33 assuming v is positive.\nAnswer: v**(4163\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 477*v**5 + 2*v**4 - 43*v**2 - 41257*v wrt v?\nAnswer: 9540*v**3 + 24*v**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 8*q**2 + 8*q + 10. What is c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25))\/(3\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 + 6*d - 4. Suppose 3*c = 13 - 1. Determine g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3176188 and 10.\nAnswer: -31761880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4232232*s**4 - 166*s**2 - 5431*s wrt s.\nAnswer: 101573568*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 34*f**2 + 17*f + 90. Let q be a(26). Suppose 4*l + q = 22*l. List the prime factors of l.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, l: 3, z: 4, p: 2}. What is prob of picking 1 z and 1 p?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4251024 is divided by 576?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + 206226?\nAnswer: 206267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 0.422254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3124, -1, -3, -692 in ascending order.\nAnswer: -3124, -692, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31578 + 53506. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b. Let c(l) = 10*l**2 - 48*l**2 + 12*l**2. Give c(f(a)).\nAnswer: -234*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 0*i - 4 = -4*i, -4*d = 5*i - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20534257 by -11.\nAnswer: -20534257\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) + 58\/12. Suppose w*c = c + 4. Suppose 0 = -4*r + 131 + c. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 3, y: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1287 in 931, -2\/15, 0, -1\/7, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/15)\/(-18 - (-4848)\/270).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -207. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27, -0.01, 0.1, 1 in descending order.\nAnswer: 27, 1, 0.1, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -128648611 divided by -5\nAnswer: 128648611\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 355.11286 - 0.11286. Is -0.9 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568 and 3124.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + (-18)\/6)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(4\/(144\/(-2)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11366 (base 7) to base 8\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6579 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/8 + 7*j**3\/6 - 98*j**2. Let b be g(19). What is the greatest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -14 - ((-2 - -51) + -43)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49764049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = -3*g. Let m = -27 - -26. Sort 0, g, m in increasing order.\nAnswer: g, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1270 by 25079.\nAnswer: -1270\/25079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l + 67*l = -5, -3*x + 3*l + 27 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-220059)\/210 + 288\/(-64). Which is greater: -1051 or u?\nAnswer: -1051","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/3 - 745\/105 and (-180)\/(-47) + 5*24\/(-40).\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.56608 decades in millennia?\nAnswer: 0.7456608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 391873907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 2}. Give prob of sequence xrrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 602447*a**4 + 10999*a**2 - 7 wrt a.\nAnswer: 14458728*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcllllelllyl. Give prob of sequence lc.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, r: 4, l: 4}. Give prob of picking 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2*l)**(-1\/39)\/(l**14\/(l*l**(-5\/7)*l)))**2 assuming l is positive.\nAnswer: l**(-2328\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -b6dd (base 16) to base 12\nAnswer: -23111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/56*((-9724)\/(-88) - 107)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -549082 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d9518 (base 15) in base 10?\nAnswer: 5245898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 8*r**2 - 10*r + 20. What is y(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4 + 2 + 6*q**2 + 3 + 35*q**2 + 2*q. Let a be n(-1). Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (-57 + 1 + -14 + 3 - -8)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*m - 20. Let t = m - -12. Let r(f) = -f**3 + 8*f**2 + 6*f + 4. Is r(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 75*x + 170. What is the remainder when v(4) is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u = -2*c + 2, -5*c + 29 = 3*u. Suppose b + 2*d + 3 = 0, 5*b - 2*d - 15 = u*d. What is the units digit of 3 + (-2 - b) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2)*(-15 + 16). Suppose -6*i - 11*i + 26605 = f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -651*i**3 - i**2 + i - 2. Let y = -15 + 17. Suppose -y*o = 7 - 3. Let c be m(o). What is c rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.55835243 rounded to 2 decimal places?\nAnswer: 15.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 9*v + 4 = 0. Let y = v - -2. What is the second derivative of y*l - 3*l**3 + 6*l - 11*l wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 573 or 428?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225627527 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5461632 and 209088?\nAnswer: 180233856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/10*-35*16\/(-616)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-25)*((-714)\/(-2499))\/(80\/14).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p - p + 9*p - 3*p to the form u*p + z and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - 0.2. Let x = r - -1.07. Let q be (-78)\/(-135) + 4\/18. Which is the smallest value? (a) 0.3 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -35, -69, -119, -185?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605408131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -198*c**3*o**3*w**3 + 8*c**3*o**3*w**2 - 4*c**3*o*w - 81*c*o**2*w**3 - 53*o**2*w**2 wrt o.\nAnswer: -1188*c**3*w**3 + 48*c**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(3564) + -5).\nAnswer: 5 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2 + 1. Let b(l) = -4*l + 15. Let q(g) = -11*g + 44. Let p(y) = -8*b(y) + 3*q(y). Let h be p(6). Solve h = k - 5*z + 1, 5*z + 5 = -r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.18 from -8098.\nAnswer: -8098.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1*90\/4. Suppose -40*f + 178 = 658. Let l be f\/b - 4\/(-30). Solve 4*h - 8 = 3*p, l = 8*h - 3*h - 4*p - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132.066*-0.1\nAnswer: -13.2066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1702307, -1702277, -1702247, -1702217?\n\"Answer: 30*c - 1702337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1413 + -1476. Let c(j) = 18*j + 1127. Give c(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y*y\/(y\/y**1)))*y)\/(y\/y**(-5)))\/(y\/(y\/(y*y**(3\/4)*y))*y**3) assuming y is positive.\nAnswer: y**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.795 + -3.8204. What is the second smallest value in a, -1, -2\/11, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19134091 is divided by 797248?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3308.031 - -3311. What is n rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(72)*-2)**2 + 5 + -4 + (-6*(sqrt(110)\/(sqrt(44)\/sqrt(4)))\/(2*sqrt(15)\/sqrt(3)))**2.\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 61, 70, 45, -26, -155, -354?\n\"Answer: -2*h**3 + h**2 + 42*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l. Let a(b) = -2198*b**2 + 22*b. Calculate -a(c) + 2*f(c).\nAnswer: 2198*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 4*v + 5. Let h be a(-5). Is h <= 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -36 - -51) + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218485171?\nAnswer: 337, 857, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {g: 15, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-4))\/((14\/(-40))\/7). Suppose u = 5*h, -2*i + h = -12 + 127. Let r = -27 - i. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -4.7948?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 221.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 55 + 1. Suppose -9 = -h*r + 3. Find x such that 27\/4*x**3 - 33\/4*x + 3\/2 + 9*x**r = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401073 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 125870*v + 93840000.\nAnswer: (v + 750)*(v + 125120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/12 + 613\/84. Suppose u = 5*p - 76, -u + p - 88 + 20 = 0. Calculate the common denominator of ((-1515)\/u)\/(-5) + 3 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16917888 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 129384 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*-4*sqrt(22)*3)\/((sqrt(44) - (sqrt(44) + 6*sqrt(176)\/sqrt(4)) - sqrt(44))\/(sqrt(704)\/sqrt(11))).\nAnswer: 240*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2551?\nAnswer: -1\/2551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25061.082ms?\nAnswer: 0.4176847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) 0.9 (c) 0.74 (d) -0.2 (e) -66 (f) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {q: 1, d: 2, g: 1, b: 2, v: 1, f: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -271977 - -2?\nAnswer: -271975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (2 + 11 - (14 + -145)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 13.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -749.7 in 2, -0.1, -1, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*b**4 + 2938*b?\nAnswer: -336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 808*(3 + (-21)\/9 + 13\/(-24))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 - 4*p. Let s = -59 - -58. Let q be (-10)\/(-6 + (3 - s)). What is x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5476 = -4*g - 1097, -2*g = -3*v + 2819. What is the remainder when v is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let u be i(1). Suppose -u + 30 = 4*m. Let b = 188 + -187. Solve -3*k = 2*f - b + m, -4*f = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*i - i + 289, -5*i + 305 = 5*c. Let t = 98 + -16. Let h = t - c. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2 + 191861*b + 2742418 wrt b.\nAnswer: 4*b + 191861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -98*r + 27. List the prime factors of z(-5).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, m: 3, n: 1, j: 5, v: 1}. Give prob of picking 1 n and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 4407920?\nAnswer: 4407920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*d**4 + 239 wrt d.\nAnswer: -328*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 = 16214*u - 16120*u - 1605 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1362 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 16013?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 151, 168?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 126280 divided by -770\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 16*l. Let b = -5 - 32. Calculate the common denominator of b + (-2)\/(-3)*-3 and t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*n + 150 = 5*j, -5*j - n + 230 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 205593440\nAnswer: -1027967200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 135994770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and -89\/12451264?\nAnswer: 62256320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*b - 7 = 0, -3*b = c + b - 31. Factor c*m**3 + 24*m + m**3 + 4*m**3 + 4*m**4 + 44*m**2.\nAnswer: 4*m*(m + 1)*(m + 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*h - 170 = 0, 3*w = -w + 3*h + 680. What is the highest common divisor of 34 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/2 + 54397*n\/2 - 2179080 = 0?\nAnswer: -54477, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -162721 greater than -162877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2052 is divided by 486?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/93197602 and -49\/33315.\nAnswer: 1397964030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 47. Let l = 15 - h. Let b(g) = g**2 - g - 4. What is the units digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841347763?\nAnswer: 563, 1494401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-42)*(-25)\/(-15))\/((-10)\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2044*k**3 + 1293*k**3 + 1 - 302*k**3 + (0*k + 4*k - 2*k)*(2*k**2 - 2*k**2 + k**2).\nAnswer: 3037*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943912.9m to millimeters.\nAnswer: 943912900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 14*c**5\/3 + 2950*c**4\/9 - 5314*c**3\/9 + 1034*c**2\/9 + 1864*c\/9 - 64 = 0.\nAnswer: -72, -4\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 (base 11) in base 2?\nAnswer: 11001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2410776 and -106857.\nAnswer: -2517633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b + j = 41*b - 2323, 4*b + j = 4631. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*k + 27*k - 89*k - 91*k.\nAnswer: -215*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6*k = -200. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 104 - 50 - 5*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h + 9. Let r(n) be the second derivative of -3*n**3\/2 - 7*n**2 + n. Let t(y) = 8*c(y) + 5*r(y). What is the derivative of t(l) wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.541975 hours?\nAnswer: 572.5185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 38, -13268?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -945505, -1891009, -2836513, -3782017, -4727521, -5673025?\nAnswer: -6618529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143387190 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 8, 9, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 - 3*r**5 + 5*r**5 + (2 - 2 - 3*r)*(-5*r**4 + 4*r**4 + 2*r**4).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22054206 (base 7) to base 5\nAnswer: 441131430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 635524, 635517, 635498, 635461, 635400, 635309?\n\"Answer: -b**3 + 635525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(20 - 7 + 15) + 112 - 239 - 189 + 114 - 308)*(d - d + 2*d**3).\nAnswer: -1132*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -16. Suppose 6*y = -0*y + u*y. Let f = -18 - -27. Solve y = q + 2*q - f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483551, -967105, -1450659, -1934213, -2417767, -2901321?\nAnswer: -3384875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**3 - 5*i**2 + 27*i + 7. Let f(r) = 10*r**3 - 7*r**2 + 41*r + 10. Calculate -5*f(n) + 7*h(n).\nAnswer: -n**3 - 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + w = -290, 2*i = -w + 235 - 50. Let g = i + 449. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (sqrt(68))**2 + (sqrt(1088)*-2)**2) + -5 + -3.\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Let j be (-3 + (-175)\/(-60))\/(9\/24). Which is bigger: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 3*k + 3. Let h be s(-2). Let i(p) be the first derivative of p**2 - 5. What is the smallest common multiple of i(h) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1264593 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/34 + 28*j**3\/3 + 3185*j**2\/17 + 21952*j\/17 + 9134. Factor p(k).\nAnswer: 2*(k + 7)**2*(k + 224)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 6:36 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 504516889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/20 - r**4\/2 - r**3\/2 + 4*r**2 + r. Let t be j(6). What is the remainder when 17 is divided by ((-18)\/(-15))\/((-2)\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 0*o**2 + 4*o**2 + 3*o**2 - 2*o**2 - 2*o**2 + (-4*o + 6*o - 3*o)*(-4*o + 4*o + o) + 2*o**2 + 24*o**2 + 14*o**2.\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 + -2576\/13. Let w = -0.5 - -0.5. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:18 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 5, 0.0978?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-298)\/(-11622))\/(66\/(-36)).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**2\/2 - 10*v - 353. Let y(z) = 2*z - 29. Calculate 8*g(m) - 3*y(m).\nAnswer: 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17030?\nAnswer: 2, 5, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2660 + 2662. Let h = -433.2823 + 431.3. Let q = r + h. Round q to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(36))\/sqrt(2).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1415 and -948.\nAnswer: 1341420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -5)\/((-1)\/(-5)). Suppose 20 = 5*s + 2*y, -2*y + 6 = -5*s + 3*s. Let f be s\/(-4) + -2 + 1. Sort f, 0.5, z.\nAnswer: z, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, 0 = 2*t - 6*y + 2*y - 95074. What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z + 1716 + 1056. What is the highest common divisor of z and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 12*o**2 - 18*o + 9. Let c be y(8). Suppose 0 = -2*k - 5 - 11. Let u = k - -19. Calculate the highest common divisor of u and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 570964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63326 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 353*g + 1149. Determine x(173).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14484 is divided by 698?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839602161.\nAnswer: 3, 93289129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (3 + (-2 - (-1 - 0)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/9 - 248*a\/3 + 6806 = 0. What is a?\nAnswer: 123, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 + 33*u + 9. Let z(g) = 3*g**2 + 16*g + 4. Let q(m) = -4*s(m) + 9*z(m). Let q(a) = 0. Calculate a.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m - 268 = 0. Let n = -39 - m. Suppose n = 2*q + 8. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7977\/2 or -0.327?\nAnswer: -0.327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42993047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*u + 29*u**3 + 610*u.\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.9187 rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 58 = -3*q - q, 2*v + 56 = -4*q. What is the units digit of q\/(52\/(-3804)) - (0 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-8)\/((-64)\/(-8)) + -1. Let m be -1 - 1*42\/(-38). Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146345881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000156923 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - -0.6. Let l = 0.5 + g. Is 1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*j - 1, w - 2*j + 395 - 398 = 0. Suppose -3*h + 1 = t + 5, -h + 7 = 2*t. Suppose t*v - 2*v = 60. Solve -v = -z + w*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 times 1.1713\nAnswer: 105.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 11 - 12*k - 11.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r**3 + 0*r)*(-115*r**2 - 80*r**2 + 73*r**2 + 2*r**2 - 3 + 3 + (-4*r + 2*r + 0*r)*(-r - 1 + 1) + 3 - 2*r**2 - 3).\nAnswer: -240*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/6)*a*a**(6\/11)*(a**(-2\/15)*a)**6 assuming a is positive.\nAnswer: a**(2501\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1749*t - 5. Let k(x) = 1756*x - 4. Calculate 5*k(y) - 4*v(y).\nAnswer: 1784*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3\/3 - 152408*c**2\/3 - 304804*c\/3 - 50800.\nAnswer: -4*(c + 1)**2*(c + 38100)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - (-84)\/(-18))\/(2\/3). What is the second derivative of -4*j**2 - 9*j**3 - 10*j**3 + j**f + 9*j**3 + 26*j wrt j?\nAnswer: -60*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/6 - 11*f. Let c(x) = -25*x**2. What is c(k(p))?\nAnswer: -100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1264 and -89\/228?\nAnswer: 72048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-16 + 27 + 44)*(k**4 - 3*k**2 + 3*k**2) to h + w*k**2 + l*k + c*k**4 + v*k**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911*b - 1682 = 7386*b + 1148 + 5467 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -48. Is 195*q - (-19 + 25) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6*((-17)\/4 - -5). Solve 4*j - 2*o = 6, -4*o + k*o = 2*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -20*q - 10*q. Suppose 0 = -q*o - 88 + 104. Solve 12*p = 10*p + o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000603699215 to seven decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*z = 16, -p + 2 = -3*z - 0*z. Solve -3*f + 14 = -p*v, -2*f - 11 = -4*f + 5*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 87.0000364. Round i to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103 and 1?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 72 - 5935 = 0. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.166. Let u = w - 0.266. What is the nearest to 0.1 in 0.1, -0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/473 + 655\/6149. What is the second biggest value in 4\/7, w, 1\/4, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (5*sqrt(275))**2)*-5.\nAnswer: -103095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 5.03\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8\/7, 7, -13763, 0.5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -203, -405, -607, -809, -1011, -1213?\n\"Answer: -202*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188283794 - 0.87?\nAnswer: 4188283793.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49396 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*p = -20, -2 - 4 = -4*l + 5*p. Let v(a) = a**2 - 4*a - 4. Let s(j) = -3*j - 3. What is l*s(g) - 3*v(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 10*t**2 - 17*t + 10. Let y be s(8). Suppose y*j + 3*b = -0 + 3, j - 3 = -b. What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from btbttttbbttuttttbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 2822589*a - 2822613*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cic when three letters picked without replacement from gaggicx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408, 272, 136, 0, -136?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198227 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 46 = 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 6. Let x be n(7). Let h be 10\/(-4)*24\/x. Solve h*v - 5*v = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -13, 2, -11\/27 in decreasing order.\nAnswer: 2, -11\/27, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/82 and -101\/8002558.\nAnswer: 328104878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94058060 to the power of 1\/2, to the nearest integer?\nAnswer: 9698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 33*f**2\/2 - 14*f - 36. Is 18 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -49, 4356, -18 in descending order.\nAnswer: 4356, 2, -18, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 - 96\/7. Let m = -7 - g. What is the highest common factor of 35 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 0.1 (c) -1\/4 (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-117)\/(-12) - 9\/12. Let x = -6 + s. Find the second derivative of x*l**2 + 3*l - 4*l - l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*o = -252, 256 = -b + 3*b + 5*o. Suppose 4*l + 43 = g, 6*g + 2*l - b = 2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*l**4*o**3 - 8*l*o**3 + 3*l*o - 2*l wrt l?\nAnswer: 1488*l**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 9*k + 3*k + 13*k = 197, -8*j + 2*j = 2*k - 118 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let y(h) be the first derivative of -57*h**2 + 51. Calculate y(w(m)).\nAnswer: 114*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*m**2*z**5 - 19*m**2*z**2 + 6*m*z**5 + 8*m*z**2 wrt z?\nAnswer: 2280*m**2*z**2 + 360*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 4, -3*f = -2*r - 2*r - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**4 - 20*q**4 - 4*q**4)*(-4*q + 22*q + 11*q).\nAnswer: -406*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 112*b**2 - 37*b - 18. What is s(37)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(176))**2*-3.\nAnswer: -531 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 - 2\/7*j - 2\/7*j**3 - 8\/7*j**2.\nAnswer: -2*(j - 1)*(j + 2)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*x = -93*x - 440, 3760 = -4*i + 5*x - 39*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(18 - 18 + 2*n)*(-n - 2*n**4 + n).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18200.939955 - -18201. Let n = -541 - -540.94. Let b = n + y. What is b rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*x = -13, -2*s - 2*x = -0*s + 20. What is the units digit of (-238)\/21*s\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.9 + 70.1. Let z = 84.1 - r. Which is the fourth smallest value? (a) -2\/5 (b) z (c) 2\/23 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 42 - 9 = 2*v, v - 2*m + 18 = 0. Let n = 10 + v. What is the units digit of (90\/n)\/(10\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = 12, 5*u = 4*a + 3049. Calculate the remainder when u is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11224 + -9666. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2383348*s. Let t(a) = -3*a**2. What is t(y(c))?\nAnswer: -17041043067312*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -392.295 - 0.705. Let z = -392.99999807 - r. Round z to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(((x*x\/x**(-3\/2))\/x*x)\/x)*x*x*x\/x**(1\/5)*x*x)**(1\/4) assuming x is positive.\nAnswer: x**(43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241 by -813.\nAnswer: 241\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 - 1 = 0. Suppose v*i = 2*d - 210313 + 39319, -2*i + 4*d - 113988 = 0. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 - -187. Let o be 2\/2*q - (7 + -2). Solve -2*z - p - 9 = 0, -3 = -z + o*p + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -21, -0.1, 88, 1\/4 in ascending order.\nAnswer: -21, -4, -0.1, 2\/9, 1\/4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (297\/(-198))\/((-6)\/(-32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 7*q**2 + q**3)*((-3*q + 0*q + q)*(-3 - 1 + 3) + 166*q + 41 + 43 - 84).\nAnswer: 168*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3921 = -465*p - 447*p + 4453 + 9866 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -8, -3836 in decreasing order.\nAnswer: 9, 5, -8, -3836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1739*i**2. Let p(c) = -25548*c**2. Give p(q(h)).\nAnswer: -77260243308*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 616640, 1233623, 1850606?\nAnswer: 2467589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16946 (base 12) to base 5\nAnswer: -2014304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -931 = 13*l - 3167. Calculate the greatest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-44845385)\/(-1105) - (-4)\/(-68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1*(1 - 0). Let z be (b\/1)\/(-2 + 3). Suppose 5*i - 4*i - 37 = z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) -1 (b) -31 (c) -17.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227393\/61295 - -241\/65. Let p = -937\/2829 + b. Sort -2\/9, -0.1, p, -1\/5 in descending order.\nAnswer: -0.1, -1\/5, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 423*p. Let l(n) = n. Calculate z(l(j)).\nAnswer: 423*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + 2. Find the common denominator of (v\/(-8))\/((-4)\/(-120)) and 53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72\/5 of a decade?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 49195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1119 - 713. What are the prime factors of c?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -4*s + 44, -391*s + 394*s = o + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:40 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -144*f + 20*f + 3870 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 2 = 0. Let f(v) = 2*v + 3. Let a(q) = -q - 2. Let n(r) = 6*a(r) + 4*f(r). What is the units digit of n(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*t - 4*s, 5*t + 3*s + 28 = -s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 7:46 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 2*m - 1. Let o be ((-4)\/8)\/((-1)\/2). Let r be g(o). Solve -v = 2, l - 8 + r = 4*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6624 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, 4, -1\/3 in decreasing order.\nAnswer: 4, -0.2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 13*f = 3*a + 35, -24 = 4*a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145757 is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(((o**(8\/7)*o*o*o)\/o)\/o)*o))\/o*o)\/(o*o**(-6))*(o\/o**(-2\/13))\/o*o**(-2\/15)\/o*o assuming o is positive.\nAnswer: o**(9778\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -9*n**8\/28 + 2*n**7\/21 - n**4\/6 + 115*n**3\/3 - 293*n. Find the third derivative of l(t) wrt t.\nAnswer: -2160*t**3 + 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1153 = -123. Is (5 - 4)*j\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.64 + 19. Let z = -2.54 - l. Round z to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/4)\/((-12)\/(-20)))\/(2530\/(-1012))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.8983ml in litres?\nAnswer: 0.4898983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) 0.03 (d) -2.448 (e) 5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1928, -1785, -1534, -1175, -708, -133, 550?\n\"Answer: 54*f**2 - 19*f - 1963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + (-296)\/40)*540\/22. Which is smaller: c or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 8 (c) -7134829\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96327600 rounded to the nearest one million?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 + -4357\/18. Calculate the common denominator of -77\/10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 104 = -h - 12*d, -416 = -4*h - 2*d. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 4*d - 5. Let o be r(5). Suppose 4*j - 4*n - 4 = o, 5*n + 20 = -0. Sort 4, 3, j in ascending order.\nAnswer: j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 845.4695 micrograms?\nAnswer: 0.0000000008454695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*x**2 + 186*x**2 + 66 - 66.\nAnswer: -499*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/20 + r**4\/4 + r**3\/6 - 3*r**2\/2 + r. Let z be h(3). Solve 3*x - 3 - 6 = z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4542 + 17?\nAnswer: -4525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 7*h - 5*h)*(2 - 5 + 0) - 2*h - h + h - 4*h + 3*h + 0*h + (2 - 1 + 1)*(0*h - 2*h + 0*h) + 4*h + 2*h - 4*h + 2 - 2 - 2*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7146200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -277782\/619 at least as big as -449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s - 4565 = -361*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2 - z + 1. Let t be r(2). Suppose -f - p + 3 = -2, -2*f - 3*p = -t. Suppose 8 = 2*q - 2*l, f*l = -2*q + 2*l. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141.2 or 1?\nAnswer: 141.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40960*m + 40978*m = 81801*m - 14659 for m.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2. Let i be z(2). Suppose -74 = -2*h - i. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -4, 2, 4 in descending order.\nAnswer: 5, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h + 9*h**2 - 2 + 2*h**3 + 12*h in the form w + l*h**3 + p*h**2 + v*h and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8d (base 16) in base 6?\nAnswer: -22513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 + 157. Suppose -p = -5*p + 8. Let n = -77\/65 + 18\/13. Which is the nearest to x? (a) 1\/4 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -3\/8 (c) 0.5 (d) -2\/59 (e) -3.5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-119)\/102*6 + 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/40)\/((-453)\/15 - -1). Sort -0.4, -1, z in descending order.\nAnswer: z, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37579147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - -201232322122?\nAnswer: 201232322332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46 + 55)*(-2)\/(-6). What are the prime factors of ((-18)\/y)\/36 - 14138\/(-12)?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*d + 25, 3*o - 4*d + 20 = -o. Sort -4, 5, o, -43 in decreasing order.\nAnswer: 5, o, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m. Let s be 1 - 2\/8*1. Is m less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 91 = -5*i, 0 = 3*c - 1 - 2. Calculate the remainder when (-8 - -12) + -1 - -49 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1)\/(0 + -1). Let o(x) = 2*x**2 - 21*x + 35. Suppose 41 = 5*m + 1. Let j be o(m). Sort 2, a, j in descending order.\nAnswer: 2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682470773 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: Let f = -0.245 + 1135.245. Let l = f - 1134.9997034. What is l rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11489a (base 11) in base 6?\nAnswer: 3523005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3252)\/(-8130) + (-1076)\/(-10) + (-27)\/(3\/1)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*k + 13 = 7, -6 = -3*f - 3*k. Let v be (1\/2)\/(3\/2). Suppose -1\/3*q**f + 0 - v*q**3 + 0*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -10*m + 5*m + 4*x, 0 = -m - 4*x - 11. Let p be m*1 + (-20 - -24) + 8. Solve -2*v = v + p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -2316320?\nAnswer: -2316320.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1100) + sqrt(1100)*-1*-4 - (1 + (-2*sqrt(1100) - sqrt(1100)))))**2.\nAnswer: -2560*sqrt(11) + 1126416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 3*y**3 + 19*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 196, 187, 180, 187, 220, 291, 412?\n\"Answer: 2*p**3 - 11*p**2 + 10*p + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -676*f + 1. Is 26 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*l, 3*l + 36 = 4*j. What is the smallest common multiple of j and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 113*d + 249. Let m(t) = -338*t - 747. Let p(x) = 11*f(x) + 4*m(x). What is the derivative of p(v) wrt v?\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.841 - -19.8410135601. Round r to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 16) in base 2?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 64, -1550, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*i**4 - 13*i**4 + 52*i + 33*i**4 + 33*i**5 wrt i?\nAnswer: 660*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 - 5*u**4\/6 + 5*u**3\/3 + 9*u**2 - 6*u. Is v(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 19 = -3*j, -3*a - 5*j + 76051 = 76104 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.12 + -0.02. Let w = u + -3.8. Let y = w + 7.7. What is the second biggest value in 1.4, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggika?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -7. Suppose -8 - z = 4*h + l, -2*l = 2*h + 12. Let v = 1 + -6. What is the smallest value in 3, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.1, 0.19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33823261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Let d(t) = t + 5 - n - 6*t. Let i be d(-8). What is the highest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-78)\/(-10))\/(63\/(-42)))\/((-4)\/5).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 76. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 15 - 1 + 4 - 138*c - 2 to l*c + y and give l.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**4 - 15*n**2\/2 - 6. What is the second derivative of t(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8196 = -4*m, -5*s + m + 20442 = 6765. Calculate the remainder when s is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 13*d**2 + 115*d - 37. Calculate p(-19).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1008385 and -101\/70.\nAnswer: 2016770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**2 + 7 + 2*y**4 + 34*y**2 + 10*y + 9*y - 15*y**2 to the form t*y**4 + p*y + i*y**3 + w*y**2 + s and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/360 - m**4\/2 + 7*m. Let w(s) be the third derivative of q(s). Let x(i) = -7*i**2. What is x(w(v))?\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -4 + 1 + (0 + (sqrt(17) - sqrt(153)\/sqrt(9)))*1)**2*1*4.\nAnswer: -168*sqrt(17) + 3368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10508 divided by -23?\nAnswer: -10508\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 + 7)) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - 4*l**2 - 20*l + 20 + 17 - 31. Let c be z(20). Solve c*h - 4 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330 - 329.999701. What is j rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9562872*h**3*w + 31802*h**2*w + 299*w wrt h.\nAnswer: 57377232*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 50. Let u(p) = 25*p**3 - p + 1. Calculate the remainder when u(1) is divided by b(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8439 is divided by 292?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2863*u**4 + 678*u wrt u?\nAnswer: 34356*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/5 - 74*l**4 - 3044*l**3\/5 - 8444*l**2\/5 - 9246*l\/5 - 3474\/5 = 0. What is l?\nAnswer: -3, -1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74859059 and 0.1.\nAnswer: -7485905.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 110?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35594586067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**2 - p**5 - 2*p**2 - 53*p**5 + 106*p**5 + 142*p**5 + (2*p**4 - 2 + 2)*(-3 - p + 3) + p**2 - 3*p**5 - p**2.\nAnswer: 189*p**5 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**2 - 82*a + 30*a + 25*a + 28*a. Let v(c) = c - 5. Let z be v(6). Determine l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**3\/6 - l. Let w(q) = 9*q - 6. Let v(f) = -8*f + 5. Let s(i) = -6*v(i) - 5*w(i). What is s(p(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131228 and 31569.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -1173, -2523, -4363, -6693, -9513?\nAnswer: -12823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*a + 1298*a + 77 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 + 5*s**3\/3 - 7*s**2\/2 + 8*s + 8. Is 14 a factor of t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 71. Calculate the remainder when 85 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**5\/60 + 3*u**4\/4 + u**3\/2 + 28*u**2 + 4. Let n(p) = p**2 + 17*p + 2. Calculate 3*n(h) - 2*y(h).\nAnswer: h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4. Let q be 14\/((-2)\/(1\/p)). Let y be 111\/21 - 2\/q. Solve 0 = r - 3*z - 11, -2*r - 6 = -y*z - 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 935 = 21*f - 17*f + 3855 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 248 = -4*p, 0 = -2*s. Let a = 3 - p. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Let i(u) = -2*u**2 - 14*u + 16. Let n(d) = -6*h(d) - i(d). Suppose 0 = -8*l - 68 - 4. Is 25 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212 + 219. Solve o*t = -9 - 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d = -b - 8, 28 = 5*b + 33*d - 35*d for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 31, 3, -1, -2 in ascending order.\nAnswer: -2, -1, 3, 31, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283130706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7443, -1, -0.3 in increasing order.\nAnswer: -1, -0.3, 7443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:10 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 92*r**2 - 6*r + 5. Let k be s(0). Put k, 2, 4, -5, 34 in increasing order.\nAnswer: -5, 2, 4, k, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 4. Let g be p(9). Let m = g - -13. Let d = -4 + m. Solve -n = -d*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567) + sqrt(567))*-3*1 + ((2*sqrt(112) + sqrt(112))*-4 - (sqrt(112) - (sqrt(112)*1)**2*3)).\nAnswer: -106*sqrt(7) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -20*l + 19. What is the tens digit of r(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.8 - 10419.\nAnswer: -10429.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - (-4 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q - 14*t - 23 = -13*t, 5*q + t + 16 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 6*a**2 - 6*a - 1. Let z = -93 - -134. Suppose 0 = 6*n - z - 1. Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 232 and 233 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11799.011 and 434.7.\nAnswer: 12233.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6368 = -5*k - 6*x + 4*x, 2*k - 3*x - 2532 = 0. What is the remainder when k is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39337, 78669, 118001?\n\"Answer: 39332*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-26) - 456\/(-78). Solve -1 = -i - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*f - 2*f. Let t be (1 + -3)*(f + (-6)\/4). Let l(d) = 631*d + 4. Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 0.02 (b) 14 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (17330\/1733)\/(20\/66)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 0, -16, -48, -102?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -678*h**3*i + 2*h**3*u + h*u + 464*i*u + u wrt h.\nAnswer: -4068*h*i + 12*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 126 = -12*q. Suppose 0 = -3*m - 4*p + 5 - q, -4*m = -2*p + 14. Which is the second biggest value? (a) 0.3 (b) -2\/9 (c) m (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-230 + 126 + 130)*(0*v - v + 3*v) as g*v + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*33\/(-6237) - 1\/3.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2175 divided by -42501.\nAnswer: -725\/14167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1259*c**2. Let s(l) = l**2 - 2. Determine s(z(a)).\nAnswer: 1585081*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25252543 divided by 3?\nAnswer: 25252543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04282 and 2264.62.\nAnswer: 2264.66282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -13*v + 24. Suppose 0 = -v*c + 11*c + 35. Let z(t) = -t - 1. Let r be z(5). Is c less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.02446l?\nAnswer: 71024.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2017894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 8*n**2 + 173*n - 1. Let s(z) = -13*z**2 - 172*z + 2. Give 3*f(c) + 2*s(c).\nAnswer: -3*c**3 - 2*c**2 + 175*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674462513?\nAnswer: 3, 5281, 105691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-19))**(20\/9) assuming o is positive.\nAnswer: o**(-380\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 15, 4*k + z + 280 = -3*z. Let m be 3 + 3\/(81\/k). Which is the nearest to 1? (a) 1 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 717*p + 18693. Calculate d(-27).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*p = 29, 3*p = i - 5*i + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -7414 (c) -3 (d) -0.9 (e) -409\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5118766 to three dps.\nAnswer: -1.512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - -34 - 63).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.1 or -1228199\/3?\nAnswer: -1228199\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 647084*n**3\/3 + 46525195760*n**2 - 10036322094405200*n\/3 + 140481154282126000\/3.\nAnswer: (n - 215690)**3*(n - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.5, 2\/3, 2\/15?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 7*p - 17. Let g be a(-7). Let u = -131\/2 + g. Find the common denominator of u and 20\/6*(-18)\/(-105).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 112 = 109. Suppose -3 = -m + n. Let k(j) = -j**3 + 5*j**2 - 2*j + 3. What is the lowest common multiple of k(2) and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 1110 = -25*c. What are the prime factors of c?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 31*z + 21*z + 20*z. Let f(v) = 16*v - 3. Let s(k) = -82*k + 15. Let m(l) = 5*f(l) + s(l). Give m(y(a)).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11904.97kg in milligrams?\nAnswer: 11904970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47443 (base 8) to base 6.\nAnswer: 233443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12719, -25436, -38153, -50870, -63587, -76304?\n\"Answer: -12717*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Let q(h) = -1512*h - 2286*h + 65 - 32 - 35. Give q(b(o)).\nAnswer: -7596*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**3 - 2*c**3 + (2 - 2 - 2)*(c - c - c**3) + c**2 + 2*c**3 - c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 - 9*k - 2. Let x be v(-8). Suppose -j = j - x. Let l be 45\/10*4\/9. Solve -l*f + 1 = -z, -j*f - 16 = -5*f - 2*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/(-70)*10\/(-9). Which is the fifth biggest value? (a) -1 (b) 5 (c) -1.9 (d) t (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5815 - 11626 + 5811 + 2696*j to the form z*j + f and give z.\nAnswer: 2696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - (-4)\/((-56)\/(-486)). Let 91*g + r*g**2 + 435 + 59*g - 395 = 0. Calculate g.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/110*(-10)\/(-8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a1f + -3?\nAnswer: -3a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k - 8*k + k - 10*k.\nAnswer: -47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 2*r**4 + 2*r**4 + (2*r + 2 - 2)*(0*r**3 - r**3 - r**3) - 130*r**2 + 12*r**2 + 115*r**2 + 20*r**4 - 37*r**3.\nAnswer: 17*r**4 - 37*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.011877 from -15.\nAnswer: -14.988123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000007836 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -110. Sort 0, -10, 5, j in increasing order.\nAnswer: -10, 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a - 180 = 0. Let r = a - -60. Calculate the greatest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 - -136. Suppose b*s = 1198 - 61. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -2981779 + 2981778.81000044. Let w = c + 0.19. What is w rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/30 - 2*z**4\/3 + z**3\/2 + 21*z**2. Let k be f(-8). Solve -k*i + 14 = 2*c, 1 - 7 = -2*c - i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -2) + 1\/1. Solve c = -2*z - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/2 + 1031*x**2 + 4127*x\/2 + 1032 = 0. Calculate x.\nAnswer: -1, 2064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 41*c + 26 = 0, 4*g = -615*c + 618*c + 50 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.438 + 0.249. Let d = 0.6 - 0.4. Let h = d + s. What is h rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484063 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 4\/3 (c) 1.7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, -0.9, 1\/2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2 - 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(0 + (87\/(-261))\/(4\/24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 244, 0 in ascending order.\nAnswer: 0, 2, 3, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2302 (base 8) to base 15.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7335 = -2415. Suppose 2*b + b = 3*w + o, -5*w + 2080 = 5*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205.242 + 222.4. What is m rounded to 1 dp?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15129 by -7.\nAnswer: -15129\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 31*l**2 + 13*l + 13. Let r(v) = 61*v + 12. Let z(c) = -3*b(c) + 4*r(c). Is z(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304*p**2 - 22*p + 5?\nAnswer: -608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxvvvvxxvv. Give prob of picking 1 x and 3 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1325 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 25. Suppose z + 8 = -a*r, -10 - 66 = -5*z + 4*r. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.79386 decades to years.\nAnswer: 497.9386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 5*g**4\/3 + 10*g**2 + 10*g + 13. Let r(h) be the first derivative of y(h). Find the first derivative of r(x) wrt x.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7141203 - 0.353.\nAnswer: 7141202.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) + sqrt(30))*6)\/(-4*sqrt(360) + sqrt(360)) + -1 + (sqrt(15)\/(sqrt(10)\/sqrt(2)) + (-1*sqrt(3) + -1)**2)*1.\nAnswer: 4*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 57. Let x = 55 + o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 62570*j**2\/7 - 489344326*j\/7 + 489406898\/7.\nAnswer: -2*(j - 1)*(j + 15643)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = 8. Find the third derivative of 6*s**2 - 6*s**6 - n*s**2 + 3*s**6 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 4*o**2 + 4*o + 3. Let z be i(-2). Let y = 4 + z. Does 9 divide (1\/y)\/((-1)\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 114. Let y be b(0). Let i = 124 - y. Suppose 12*q - 36 = i*q. Which is bigger: q or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 14) to base 4\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((826\/(-2940))\/59)\/((-84)\/(-70))?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4925494346.\nAnswer: 2, 7573, 325201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**2 + k + 5. Let l(v) = -v + 5. Let h be l(6). Let u(a) = a**2 - a - 1. Give h*z(o) - 5*u(o).\nAnswer: o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 1536*g - 26676.\nAnswer: -3*(g - 494)*(g - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l*l\/(l*l**7*l)*l*l\/l**(-12\/5) assuming l is positive.\nAnswer: l**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -590*t**3 + 1188*t**2 - 17*t + 15. What is r(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50230278 and 5581142?\nAnswer: 50230278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*2)\/((793\/(-26))\/(-61)). Factor 0*f**3 + 0 + 4\/9*f + 2\/9*f**r - 2\/3*f**2.\nAnswer: 2*f*(f - 1)**2*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 16*j. Suppose j*c + 56700 = -3*c. Round c to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12) + -2*sqrt(48)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (3 - 1)*2. Let z = q + 29. What is the highest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 3. Suppose 0 = n*k - 0*k - 9. Sort -0.5, 0, k in decreasing order.\nAnswer: k, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(6\/(-8)) - (-594 + -20).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-10)*(-10)\/4. Let t(r) be the first derivative of -r**2\/2 + 5*r + 242. Let s(u) = -16. Let x(h) = s(h) + 3*t(h). What is x(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 1691*o**2 - 7701*o + 43311. What is i(850)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 736734992.8 rounded to the nearest one million?\nAnswer: 737000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 14*w**2 + 15*w - 14. Let x be s(13). Find the common denominator of -87\/8 and 592\/x*(-1)\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -62 and -74.3.\nAnswer: -136.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1944 and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-36)\/(-72))\/((-2)\/(-492))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**8))\/q)\/((q*q**8\/q*q)\/q))\/(q**(-5\/6)\/(((q*q\/(q\/((q\/(q*q**(-1\/6)))\/q)))\/q)\/q)) assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.029 and -6653.\nAnswer: -192.937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156079021?\nAnswer: 7, 211, 105673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + 12 + -6 + -2 - 6) + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 175*v**2\/4 - 6603*v\/4 - 95139\/4.\nAnswer: -(v - 93)**2*(v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*j - 44, -4*j + 44 = 3*q - 6*q. Suppose 3*b = 2*v - 9, 0 = v - 6*v - b + 31. Calculate the smallest common multiple of j and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3426264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 39 - 15 = 0. Suppose 2*r + 0 = -d. Let q be (0 + -2)\/(10\/5). Sort q, r, 3.\nAnswer: r, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7661, 15310, 22955, 30596, 38233, 45866, 53495?\n\"Answer: -2*g**2 + 7655*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 15*v**5 + 5*v**5 + (-4*v + 4*v + 2*v**3)*(-3*v**2 + 2*v**2 + 3*v**2) - 23*v**5 + 3*v**5 - 2*v + 2*v.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4 - (-26)\/(-8))*(-95)\/(-10)*2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -22. Let t = 0.025 + 12.975. Let p = -15 + t. What is the third smallest value in 2, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*a - 3. Suppose 3*x = -a*z - z + 26, 4*z - x = 18. Let q(l) = -l**2 + 6*l + 2. Calculate q(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 12. Let n(u) = -u**3 + 7*u**2 + 9*u - 6. Let p be n(8). Let y(q) = q**2 + 2*q - d - q**3 + 3*q**p + 0*q**2 + 0*q**2. Calculate y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 16*n**2 + 84*n + 425. Let y be a(-12). Suppose 0 = r + 4*x + 21, 1 - 2 = -4*r + x. Sort 5, 0, y, r in increasing order.\nAnswer: y, r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncn when three letters picked without replacement from {n: 1, s: 2, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0*b))**(-6)\/((b\/b**(5\/6))\/b*b**(2\/7)))\/((b*b*b\/(b*((b*b\/b**6*b)\/b)\/b))\/b**(-4))**5 assuming b is positive.\nAnswer: b**(-2035\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*w + 561*w + 190*w + 19407 = -30204 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*c - 13, -4*g + 19 = 37*c - 40*c. Let f = 51 - 24. Suppose -3*v - 8 = -v, -5*x + 3*v + f = 0. Solve z - g + x = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6983, 27940, 62853, 111710, 174499, 251208?\n\"Answer: -2*n**3 + 6990*n**2 + n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 13*d + 7*d - 49 + 7*d**2 + 10*d**2 - 16*d**2. List the prime factors of v(22).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -12869.\nAnswer: -12869, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 19*h - 4. Let b(y) = 26*y - 5. Let i(d) = 4*b(d) - 5*g(d). What is i(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707005*f + 696601*f + 1081481*f - 637700*f.\nAnswer: 1847387*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -21*v + 766. Calculate the remainder when b(31) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + r + 1 = 4*c, -4*c = 3*r - 10. Let t be (c + 3)*(-1)\/(-2). Factor 0*d - 5*d - t*d**3 - 4*d**2 + 2*d + d.\nAnswer: -2*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(14\/840)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -97\/4399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (516\/(-57) - 0) + -46 + 55. What is the nearest to -2 in h, -17, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 14 = 38*x - 43*x, 0 = -3*x + 3*b - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -27. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q + 4. Let r(x) = -5*x - 3. Give 4*n(z) + 6*r(z).\nAnswer: -6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286362 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -2\/61 (c) 27 (d) 0.01 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10801, -10806, -10811, -10816?\nAnswer: -10821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14689039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a650 + 0?\nAnswer: -a650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - x**3 - 19*x**3 - 2*x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 0.33. Let p = 15 + -13.9. Let j = p - 0.9. Which is the third smallest value? (a) f (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let x be r(-1). Is -2 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92834 (base 16) in base 14?\nAnswer: 1189b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -2) + (-14)\/(-21). Let f = 3 + s. Let w = -0.4 + -0.5. Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 + 8*n**5 + 8*n**5 - n**4 + n**4 + n**5 + 4*n**5 - 5*n**5 + 3*n**5 + (n - n + n**4)*(-3*n + 3*n + 2*n) + 2*n**5 + 3 - 3 - 6*n + 6*n + 7*n**5.\nAnswer: 33*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101001101 + -100001001011?\nAnswer: -1100110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -2 - 2\/3. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1.4. Let r(q) = -8*q + 30. Let x be r(6). Let h(g) = -g - 19. Let k be h(x). What is the closest to -0.2 in 3\/2, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1491 and 17997.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 36, 56, 76, 96, 116?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 16*n**2 + 28*n + 381. List the prime factors of c(-26).\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213313960 rounded to the nearest 100000?\nAnswer: 4213300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -12*h - 225. Suppose 5*g + 7 = 2*f, 5*f - 3*g = -2*g + h. What is the remainder when 159 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.21 (c) 5 (d) -0.1 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24383\/11 or -2217?\nAnswer: -2217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(sqrt(8)\/sqrt(2)) - (sqrt(16) + sqrt(176)\/sqrt(176)))\/((sqrt(8) + sqrt(16)\/sqrt(2))*6 - (sqrt(200) + 2*sqrt(200))))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/7543 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4\/19 + 74*l**3\/19 + 672*l**2\/19 + 1864*l\/19 + 1600\/19 = 0.\nAnswer: -25, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18007385.\nAnswer: 5, 11, 327407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*f**2 + 86*f**2 - 33 + 78*f**2 - 307*f**2 + 93*f**2 to the form r*f + n + z*f**2 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 + 2*j**3\/3 + j**2 + 2*j - 5. Let d(h) = h**3 - 3*h**2 - 3*h - 3. What is 2*d(y) + 3*m(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 13) to base 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 15 = 0, -192*k = 2*t - 187*k + 15. Solve 6*g = -t*g + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 30. Let f(p) = -p**2 - 11*p + 2. What is the remainder when f(-9) is divided by v\/(5*(-4)\/(-140))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -266, -300, -324, -338?\n\"Answer: 5*f**2 - 49*f - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 712 + 208 = 0. What is the remainder when i is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*u - 18, s = -3*u + 15 - 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24481 - -25571. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1180 and -83\/2655.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 9:10 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-9)*f)\/(f*f**(7\/3))*(f\/(f\/f**0))**(-1\/6) assuming f is positive.\nAnswer: f**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.13, 599, 0.2, 1\/2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 938 - 362 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4 - 2*b + 7 + 7 + 1. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*y**4 - 1\/9*y**5 + 0 + 0*y**2 + 0*y**3 + 0*y = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244 - 162. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2458532.43 to the nearest 100.\nAnswer: -2458500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + n + 2 = 23, 4*n = 4*d + 4. Suppose 10 = d*t + a + a, -7 = -4*t + a. Find the third derivative of -17*i**t + 4*i - 4*i + 15*i**6 + 7*i**2 wrt i.\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -y - 4, 0 = 5*y - 5*q - 18 - 7. Let i(j) = -3*j**2 + 0*j**2 - j**y + j + 4 + 5*j**2. What is the units digit of i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7370\/(-168))\/11 - 1\/(-4) and 29\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52070973*b**2 - 840173442.\nAnswer: -104141946*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b3 + -8?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/43)*d)\/d*d)\/(d*d*d**(4\/3)*d*d) assuming d is positive.\nAnswer: d**(-562\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjppjjzjppzp. What is prob of picking 1 j and 3 p?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1*(2 + -4). Let w(h) be the first derivative of -h**3\/3 - 7*h**2\/2 - 6*h - 3. What are the prime factors of w(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05632 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 6437347?\nAnswer: -6437351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48153 + 2.02257. What is g rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-50)*5*(2 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 192726, 192736, 192748, 192762, 192778?\n\"Answer: k**2 + 7*k + 192718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3287849 millilitres?\nAnswer: 0.0003287849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 35 = 19*q - 3*s, 0 = -2*q - 4*s. Calculate the remainder when 169 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(132)*5 - sqrt(132)) + sqrt(132))*-6*6)\/(1*-4*sqrt(588)*-6).\nAnswer: -45*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 - 3)*(-7 - 10 - 60*f + 19) - f + 3*f - 3*f - 2*f + 4*f - f - 3*f - f + 3*f + (f - 3*f + f)*(0 + 0 + 2).\nAnswer: -483*f + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13109423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + (5 + -2*sqrt(1331) + -2 + sqrt(1331) + (sqrt(1331) + 1)*-2)**2)*2 + -4).\nAnswer: -660*sqrt(11) + 119730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 2. Let r be l(0). Suppose a = -8 + 17. What is the remainder when 1\/(1*r)*-50 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12153 in -51, 1\/5, 2, -0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28, -0.074, -1, -0.5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16534144 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10 - 7*b**2 - 235*b**3 + 113*b**3 + 2*b + 123*b**3. Let o be q(7). Solve 3*v + 2 = o*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -31*h + 106. Let f = 7 - 2. Suppose -f*q = -6 - 9. Solve q*m - 4*v = -12, h*m = 3*m + v - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 191852?\nAnswer: -11\/47963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*k**4 + 48114\/7 + 1296\/7*k**2 + 12\/7*k**3 + 14580\/7*k.\nAnswer: -2*(k - 33)*(k + 9)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:45 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(1008\/(-1155)) + -18)\/((-1)\/(-4))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(44) + sqrt(176)\/sqrt(4)*-3 + sqrt(44) + (2*sqrt(352))\/sqrt(8) + sqrt(44))\/(sqrt(484)*-1*-2))**2 + 4).\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h**2 + 15*h + 9. Let g(z) = 14*z**2 - 2*z + 15*z**2 - 4 - 5*z - 36*z**2. What is 13*g(i) + 6*s(i)?\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*d**2*s**3*v + 10*d**2*s - d*s**2*v - 2*d*s*v + d*s + 4*d*v - 24*s**3*v + 3*v wrt s?\nAnswer: 108*d**2*s*v - 2*d*v - 144*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 not equal to -0.044274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 27*i**2 + 5*i**2 + 13*i**2 + 39*i**3 - i + 7*i**2. Determine k(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(40)\/sqrt(8)) - sqrt(38))\/(sqrt(162)*3)*-1*-5 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*j**3*r**3 - 2*a*j**3*r - a*j**2*r**2*y + 10*a*j*r**3*y + 2*a*j*r**2*y - 8*j**3*r**2*y + 2*j*r**2*y wrt r?\nAnswer: -24*a*j**3 + 60*a*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-516596)\/355)\/107.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(7\/(-2))*(-11 - -9). Let i be (11 - 12)*(-2)\/(-2). Put 5, w, i, 0 in ascending order.\nAnswer: w, i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2638*m**3 - m**2 + 4*m - 2. Let c be i(1). Let f = -15973\/6 + c. What is the common denominator of f and 139\/12 - (-2)\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 2\/9 (c) 24\/17 (d) -252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 4*v - 3*q, -73*q = -5*v - 69*q - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -254, -1894, -4908, -9296, -15058?\n\"Answer: -687*t**2 + 421*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 26. Let m be ((j\/2)\/4)\/1. Which is greater: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let a(q) = 5*q + 13. Calculate a(x) + 6*n(x).\nAnswer: -x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s + 1. Let r be y(0). Let x(n) = n**3 - n**2 - n + 1. Let z be x(r). Suppose z = -8*u + 9*u + 50. Round u to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 0. Suppose -2*n + 6 + 14 = a. Does 25 divide 375\/n*(-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0. Let p = 61 - 59. Which is the nearest to j? (a) p (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539029.8 centuries to millennia.\nAnswer: 53902.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 - 6132706*z**5 - 8114614*z**2 - 6?\nAnswer: -360*z**3 - 367962360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2985 (base 13) to base 6\nAnswer: -43520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o*s*x**3 + o*s - 37*o*x**2 + 1408*s*x**4 + 2*s*x + 8*s + 2*x**2 wrt x.\nAnswer: 60*o*s + 33792*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h - 1 + 14*h - 6*h - 8*h to p*h + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 285*n**2 + 69601565*n + 1221080.\nAnswer: 5*(n + 244216)*(57*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n**4 - 2*n**3\/3 + n + 644. Determine z(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6772 is divided by 3383.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -76 + (-5 - -30) + -1 + -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - -2?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**8\/l))\/l**(-2\/43)*(l**(2\/15)\/l)**(3\/4) assuming l is positive.\nAnswer: l**(-5679\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 - 8*x**2 + 5*x**2 + (-3*x - x + 2*x)*(x + 2 - 2))*(-1263 + 1403 - x**2 - x**2).\nAnswer: 22*x**4 - 1540*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/10322 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g = -3819 - 17831. Which is bigger: 1303\/3 or g?\nAnswer: 1303\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 21 (c) 1 (d) 0.7 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 + 3*p**2 + 5*p. Suppose -4 = w - r, 4*w + 7*r = 4*r - 9. Let d(s) = 2*s**3 - 2*s**2 - 3*s. What is w*q(c) - 5*d(c)?\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*q + 2*i + 436 + 380 = 145*q, 0 = 4*q - 14*i - 166 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 747964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15386 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1663*m*o - 41*m + 1650*o - 111218 with respect to o.\nAnswer: 1663*m + 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 113*z**2 + 168*z - 81. Let x be o(55). Solve 53*g - 31 = -x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.5. Let i = -343 + 232. Let o = i + 106. Which is the second biggest value? (a) 0.3 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526424.\nAnswer: 2, 23, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/(54*35\/(-2450))\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -430.6?\nAnswer: -215.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k. Let j(d) = 2*d + 2 + 5 - 18 - 3 - 20. What is s(j(q))?\nAnswer: 6*q - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -287*o + 43*o - 785*o - 200*o in the form l*o + n and give l.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 3*m**5 + 2*m**5 + (-141 - 68*m**3 + 141)*(-3*m**2 + m**2 + 5*m**2).\nAnswer: -200*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 88, 37, -14, -65?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d**2 - 6*d. Suppose 0 = 3*u - 7 - 8. Let m be t(u). Let p(j) = -269*j + 16. Is p(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(1 + sqrt(468)) - (2*sqrt(637)*-4 - (-1*sqrt(637) + -5)).\nAnswer: -2 + 73*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-127)\/2)\/((-24)\/240) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 2\/15, 0.1, -1, -339?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 25 = -5*w + 7*k, -4*w + k + 17 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + 4. Let d = 11 + -6. Suppose 2*s - d*s = -9. Is 8 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) 16\/7 (c) 0.3 (d) -0.1 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333131 - 10?\nAnswer: -333141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2460*c - 4508*c = 2635*c - 131124 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 160*l + 4. Determine q(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2974 - 26007 - 5029 = 1536*g + 23*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/20 and 89\/202.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 140 - 17529947*n - 106 + 17529947*n.\nAnswer: 3*n**2 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/3, 4\/15 in descending order.\nAnswer: 4\/3, 4\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 less than -91950469021?\nAnswer: -91950469025.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + (3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/((-4)\/(-6)). Let l be (z + -1)\/(-2 - -6). Solve -5 = b - l*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose 12 + t = g. Suppose 3*f = 37 + 11. Calculate the highest common factor of g and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1441*i**2 - 5*i - 8. Give s(1).\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3792 + -23685. Let h = -69477 - b. Round h to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14 - -4)*6\/(-15)*1. What is the highest common divisor of 124 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.2 + 21. Let s = 0.8 - q. Which is the second biggest value? (a) s (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = 0. Suppose t = -3*c + 4 - 16. Is (-218)\/(-6) - c\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 9*d**5\/20 + d**4\/4 - d**3\/3 + 2*d**2 - 935*d. Let n(w) = w**3 - w + 1. Calculate -3*n(j) + y(j).\nAnswer: 6*j**3 + 3*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)\/h**(-7))**(3\/14) assuming h is positive.\nAnswer: h**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 15 = -26*i. Let v be 1\/(2\/10*i\/2). Suppose 4*t = -2*p + 28, -13 = -2*t + 2*p + 7. Solve v - t = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1.7, -1\/4, 511, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1 + (-14 - -10) + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 - 5 = -2*q + 4*d, -2*d = 3*q + 213. Let b = 97 + q. Calculate the remainder when 53 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4 - 6. Suppose 2*f - 7*f - 4*d = -260, 4*d = -f + 36. Let r be 18\/f - 8\/(-32). Sort r, 2, l.\nAnswer: l, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 + h**4 - 4*h**3 - 2*h + 4*h**4 - 2 + h**4 in the form c*h**2 + n*h**4 + x*h + b*h**3 + s and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**3. Let z(b) = -40*b**3. Calculate 8*m(d) + 3*z(d).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 107, 26, 15, 98, 299, 642, 1151?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 74. Suppose 206*p - 223*p + 340 = 0. What is b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 + 7*w + 6. Let f(x) = 2*x**2 + 4*x + 2. Let c be f(-3). Let d = -14 + c. Let j be n(d). Solve 0 = 3*o + 9, j = g - 3*g + o - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from yyyyyykkykkkyy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7871\/(-6) - (-1)\/(-3). Let v = x - -1316. Calculate the common denominator of v and 103\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108, -733, -2250, -5049, -9520, -16053, -25038, -36865?\n\"Answer: -65*k**3 - 56*k**2 - 2*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 e when three letters picked without replacement from xxxixiezmiz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2398*a + 30 = 2406*a + 2*t, -a = 4*t - 45 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**3 + 17*n**3 - 85*n**3 + 10*n**3 + 16*n**3 + 18*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84)*1 - sqrt(84))) + sqrt(84))\/sqrt(12) + sqrt(7) + sqrt(7) + sqrt(252) + 2)**2 + ((sqrt(63) + sqrt(378)\/sqrt(54))*5)**2.\nAnswer: 40*sqrt(7) + 3504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2. Let b(p) be the second derivative of -2*p**3\/3 - 4*p. Determine b(r(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 49. List the prime factors of m(-11).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 6*c - 5. Let b be t(5). Let p(f) = -6*f**2 + 10*f**2 - f**3 - 4*f + b*f**2 + 4. Calculate p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214 + -152. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-21)\/(-3))*19\/4. Suppose 0 = -4*l + 4*o + g + 10, -2*o - 58 = -4*l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 13. Let c(y) be the first derivative of y**4\/12 - 3*y**3\/2 - 3*y**2 - 6. Let f(p) be the second derivative of c(p). Let x be f(8). What is m(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5460 - 5460 - 161*d + 10921 + 2*d**2 in the form z*d + h + p*d**2 and give z.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2)*-1 + 2. Let m(v) be the first derivative of v**6\/360 - v**3 - 42. Let g(w) be the third derivative of m(w). Give g(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54312 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170997770?\nAnswer: 2, 5, 107, 159811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((432\/160)\/(-27))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -4 + 2 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*w - 22, -3*w + 9 = -7*i - 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 t when three letters picked without replacement from xhxhhhnthhxhxxhhttx.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 130. Let n = -13 - -18. Solve 0 = 4*y + 4*s - r, -n*y + 4*y = 5*s - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-9)\/(-12)*1. Let y(c) = 6*c**2 - 4*c**2 + 6*c - b + 2*c**2 - 3*c**2. Let f be y(-7). What is the greatest common divisor of 10 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-2 - (-3 - -1) - 0 - (-144 - -137)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 15 = -8*f. Suppose f*m + 0*m = -2*a - 414, -m - 101 = a. Let o = m + 186. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38532000 a multiple of 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2.84?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150.8 - 153.8. Sort x, -0.5, -122 in descending order.\nAnswer: -0.5, x, -122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3)*-3 - 1. Let s = -8 + 7. What are the prime factors of s - 12\/((-3)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8048172 divided by 4?\nAnswer: 2012043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94878?\nAnswer: 2, 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 18*g**2 + 359*g + 720. Determine t(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -12, -24, -50, -96, -168, -272, -414?\n\"Answer: -c**3 + 2*c**2 - 3*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 13241?\nAnswer: -1323c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44317 divided by 6.\nAnswer: -44317\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003271 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414919?\nAnswer: 17, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 310522, 310530, 310538, 310546, 310554?\n\"Answer: 8*t + 310514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/12 + 2*m**2 - 17*m. Let w be g(0). What is the second derivative of -14*x**4 - 16*x - 4*x + 11*x**w wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 153543262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-10))\/(5229\/63910).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgg when three letters picked without replacement from zgrrzpgzpgzzz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 1. Let u(t) = -t - 1. Suppose 4560*p = 4569*p - 18. Calculate p*u(v) - q(v).\nAnswer: 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccssccccscssc. Give prob of picking 1 s and 2 c.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-22)\/(-572))\/((-3)\/(-13)))\/(2\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 + 3*j + 2. Calculate n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 605, 5, 2, 220 in descending order.\nAnswer: 605, 220, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + q - 4*q + 5*q. What is y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-303)\/9 - (-4)\/6. Let r = h - -33. Solve x - 4 = 2*j - 4*x, -4*x + 8 = r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7820156 nanometers in kilometers?\nAnswer: 0.0000000000007820156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 9. Suppose 4*m + 40 = q*m. Let g(c) = -2 + 25*c - 16*c - m*c. Calculate g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q + 18. Let m(d) = 7*d + 17. Let w(x) = 5*m(x) - 4*z(x). Let t be w(6). Let a be 249\/2 + 6\/(-12). What is the greatest common factor of t and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 7. Let q(f) = -f + 2*f - t + 14. What is q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 8*m - 38. Determine f(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 196*k - 3130. Give g(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1719364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4570 - -4634. Solve -34*n + 18*n = q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - (sqrt(78) - sqrt(78)*2)*-5 - sqrt(78)) + sqrt(78))\/(sqrt(6) - sqrt(24)\/sqrt(64))*-5)**2 + -2.\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78280)\/515*(-7)\/(-14).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 220934 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 16*u**2 - 57*u - 205. Give q(-17).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 24340.27 decades?\nAnswer: 2434.027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*u**3 - 50925*u + 880476 wrt u.\nAnswer: -27*u**2 - 50925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v - 1. Let x be (3 - 2)*4 - 1. Let l be (x + (-61)\/3)*3. Let m be 22\/26 + (-8)\/l. Give n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 14) to base 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50)\/42 - 3\/(-3))*-213. Suppose -3*j + 41 = -4*j. Let y = n + j. Sort 0.1, 0.5, y in decreasing order.\nAnswer: 0.5, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 167*n**2 - 13863*n + 162. Calculate x(83).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, 6\/11, -0.23, -5, 143?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, r: 12}. What is prob of picking 1 r and 3 m?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 3, -8, 5, 135 in increasing order.\nAnswer: -12, -8, 0, 3, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -24, -46, -68, -90?\n\"Answer: -22*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47356 is divided by 23669.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:12 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555174 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9616 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208007867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 321433 at least 321434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 - 2411 = -172*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d + 1 - 1 - d - 3*d + 0*d + 5*d + 2*d - 3*d + 0*d - 1 + 1 + d + (-1 + 1 - 1)*(-d + 2 - 2))*(0 + 0 - 1)*(-2 - 6 + 4).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -37. Suppose b = a + 2*a. Let n(u) = u**3 - 4*u**2 - 9*u + 4. Is n(a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 1\/3 (b) 2\/7 (c) -2847 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13694677 is divided by 1614.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 2, -151 in descending order.\nAnswer: 2, 0, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*1*6\/(-30). Suppose 2*m = -6 - 6. Let k be (-1)\/2 - (-3)\/m. Does g = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46443.7514955 - 46317.7515. Let r = d - 126. Round r to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 62*h\/3 + 725.\nAnswer: -(h - 25)*(h + 87)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**4\/5 + 185461*k**3\/5 + 1719807672*k**2 + 1719770580*k = 0?\nAnswer: -92730, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -25*g + 27*g**2 + 90*g**3 - 174*g**3 + 1 + 80*g**3. Let z(i) = 2*i**3 + i**2 - i - 1. Let h(t) = -2*a(t) - 2*z(t). Factor h(y).\nAnswer: 4*y*(y - 13)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 399*a - 3106. Let d be g(-2). Sort -2, 3, d, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6)*z)**(5\/13)\/((z\/(z\/(z**19*z)))\/z**(1\/35)) assuming z is positive.\nAnswer: z**(-53647\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)*v**(-27))**(-7\/2) assuming v is positive.\nAnswer: v**(735\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104104 is divided by 1084?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 - 12*o + 4. Let t be v(5). Suppose t*d - 21*d = -52. Calculate the highest common factor of d and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 354?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2862*v - 7313*v**3 + 619*v + 7448*v**3.\nAnswer: 135*v**3 - 2243*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 5\/73 (b) -2.9 (c) -1 (d) -24 (e) 4 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -853268819*r**4 - 812777373*r wrt r.\nAnswer: -10239225828*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2561407?\nAnswer: 17, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66600 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 361 + 83 = -4*j, -3*j = -5*n - 191. Let m(w) = w**2 - 2*w - 4. What is the least common multiple of (-67)\/201*j*-2 and m(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.06388 rounded to 1 dp?\nAnswer: -172.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5 + 1780*k**4 - 198570*k**3 + 6685720*k**2 + 37751575*k + 30865500 = 0. What is k?\nAnswer: -4, -1, 95, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 12*m**2 - m**3 - 103*m - 10*m**2 - m**3 + 103*m in the form n + k*m**2 + t*m + z*m**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 9 - 12. Suppose -d = 2*c - s, -c - 4*d = -3*d + 2. Solve -6 = -3*q - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -97, -9, -5, -3 in increasing order.\nAnswer: -111, -97, -9, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*a**3 + a**4 + 21*a**3)*(4*a - 2*a - 3*a + 2*a - 2*a - 2*a + 2*a - 4*a + 3*a + (-a - 3*a + 2*a)*(6 + 0 - 4) + 2*a + 0*a + 0*a + 5*a - 5*a + a).\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4181 times 1365?\nAnswer: -5707065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -361 - -359. What is the fourth biggest value in -1, z, 0.32, -1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 2506*x**3 + 3 + 2491*x**3 + 16*x**2 - 15*x**2 as p*x**2 + b*x**3 + q + w*x and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-9 - (-5 + 1)). Let q = 260.9 + -272. Let g = q - -11. What is the nearest to g in y, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, -1, 2, -5 in increasing order.\nAnswer: -154, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.03 and 2.0249.\nAnswer: -2.085647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/19 + 140\/(-3135).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:05 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + 3*m + 0*m)*(1 - 4 + 1)*(-1 - 3 + 5 + (7 + 0 + 0)*(4 - 10 - 5))*(-110 + 110 + 2*m) to f*m**2 + j + k*m and give f.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + (-13 - 99360\/(-8283)) and 55\/3.\nAnswer: 8283","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519964557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-336)\/(-230))\/6)\/((-6)\/5). Let o = 1136\/6279 + q. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*n + 40 = c + 590*n, -30 = 5*c + 3*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-16)\/(-40))*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554689 is divided by 320?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2719605605 to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 22\/55857947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(85)*-5*-3)\/((sqrt(5) - sqrt(125))*-1).\nAnswer: -45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 2)\/((-2)\/(-4)). Let v be (-1 - 4\/l) + 7. Suppose -6 + 26 = -v*p, -5*z + 74992 = 2*p. What is z rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 378. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 19 + 21 = 0. Suppose -x = 9*f - 4*f. Let h = 10 - 7. Sort f, 5, h.\nAnswer: f, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from {w: 1, v: 6, f: 6, c: 7}?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 14*i**2 - 11*i - 11. Let a be p(16). Let b = -248 + a. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 2042?\nAnswer: 173570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2026 - -2975. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:47 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -348, -569, -758, -903, -992, -1013, -954?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, 28, -4 in decreasing order.\nAnswer: 28, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose 0 = -83*b + 84*b + 2. Sort -5, b, v, -1.\nAnswer: -5, b, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-102)*(-1 - 2)*(-1 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - 971\/(-7). Let w be ((-35)\/(-3))\/(4\/24). Let d = r - w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 4, -5, 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((135\/(-99))\/3)\/(8\/3 + -3). Are 3\/4 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdtrtqtllttlqttvlllt. What is prob of picking 1 q, 1 l, and 1 v?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*d - 66*d + 3*d**2 + 0*d**2)*(-7 + d + 7).\nAnswer: 3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51754140.\nAnswer: 2, 3, 5, 23, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -5.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/9 - 116*l**4\/9 + 1562*l**3\/9 + 1160*l**2\/3 + 200*l.\nAnswer: 2*l*(l - 30)**2*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 3*c - 6 = 0, -p + 2118*c - 6 = 2121*c. Let s = -2222\/7 + 318. Factor -s*j**3 + 0*j**2 + p + 0*j - 2\/7*j**4.\nAnswer: -2*j**3*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 150 = d - 125, 3*b - 445 = 5*d. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)*4\/2. Let n = 75 + -75.4. What is the second smallest value in 2\/5, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4485 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5946 and -0.05.\nAnswer: 0.12973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469781, 939992, 1410205, 1880420, 2350637?\nAnswer: 2820856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1)))**(1\/27)*(m\/(m\/m**1))**48 assuming m is positive.\nAnswer: m**(1295\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4997 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {a: 10, z: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52026231 (base 7) in base 2?\nAnswer: 10000101000011100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*s - 64 = 0, 0*s = -s - 5. What is the smallest common multiple of 288 and u?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2 = 736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 15\/8 (c) 0.2 (d) 4 (e) -3980\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(5 + -2*sqrt(3))**2)*1 + -4.\nAnswer: -120*sqrt(3) + 215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 10*k - 6. Let u(r) = r**3 - 5*r**2 - 10*r - 7. Let j(q) = -3*n(q) + 2*u(q). Find h, given that j(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 76 = 2*k + 4*f, 0 = -3*k - 3*f + 69. Let o be (-4)\/14 + 489\/k. Let m = 36 - o. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/8 + 78403*k**2\/8 + 156803*k\/8 + 78401\/8 = 0 for k.\nAnswer: -78401, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11481327 - 8*n**2 - 7*n**3 - 22*n**2 - 11481342 in the form s*n + h*n**2 + l + v*n**3 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 10*d + 2*u = 1224, 2*u = -4*d - 1216. Is -306 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011011111011101110100 - 100?\nAnswer: 100011011111011101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 6*j**2 + 36*j**2 + 11*j**2.\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 8, 2, -4, 87.\nAnswer: -4, -1, 2, 4, 8, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*((-4)\/5)\/(-2). Suppose 3 = b*t - 1. Let q be 34\/119 + (-57)\/(-21). Solve -3*s + 3*w + 6 = 0, -t*s - q*w - 6 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -1. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = 3*h - 6*z, -5*h - 2*z + 440 = 3*z. What is the remainder when 341 is divided by h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 6*s**2 - 2*s - 7. Let l be h(-6). Suppose -6*x + l*a + 35 = -x, -19 = -x + 5*a. Factor -8\/3*b - 32\/3*b**2 + 50\/3*b**x - 10\/3*b**3 + 0.\nAnswer: 2*b*(b - 1)*(5*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/8)\/(1\/4). Suppose 4*t - 27 - 85 = 0. Let c = t + h. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*v - 7*l - 3, 3*v + 2*l = 11. Solve -2*u - 21 = -3*q, 14 = q - 0*q - v*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 16) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 819363.9 microseconds?\nAnswer: 819.3639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 124*p**2 - 82 + 0*p - 38 + 159 - 37.\nAnswer: -124*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*w + 52*w + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2899 and 11.\nAnswer: 31889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 143859919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -35. Solve z*i + 8 = -4*b, 0 = i - b - 4 + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26641716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 2*y**2 - y - 3. Let d = 4 - 1. Let p be z(d). Suppose 0 = 3*b - p*w - 48, -w + 43 = 4*b - 6. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, a: 18}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -44*v - 944. Calculate x(-19).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 - 1)*(0*s - s + 0*s)*(11 - 162 - 54) as y + r*s and give r.\nAnswer: -2050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 + 15*s + 42 = 0. Calculate s.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1322110, 5288211, 11898378, 21152611, 33050910, 47593275, 64779706?\nAnswer: 84610203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let z(x) = x + 101121 + 2*x - 100178 - 4*x. What is z(t(j))?\nAnswer: -j**2 + 943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 1:45 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3 + 754*o**2 + 1505*o + 752 = 0. What is o?\nAnswer: -752, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2)\/(4\/6). Let h be ((-5)\/k)\/((-75)\/90). Let m(x) = 3*x**2 - 6*x**2 + 5*x**h + 5 - 3*x**2. Determine m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 20*q + 144. Let l = 56.19 - 56.69. Which is the nearest to -3? (a) l (b) 0.1 (c) q (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 1. Let s be l(-1). Let f = 10 - 14. Sort s, f, 1 in decreasing order.\nAnswer: s, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43416 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -13*q**4\/24 - 4*q**3\/3 + 6*q**2. Let b(l) = 3*l + 2. What is 9*b(z) + 2*j(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 4*n**2 - 1. Let j be i(-2). Suppose -7226 - 705 = -j*v. Let x = v + -804. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 - 4*z**3 - 6*z**3 - z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6801.3km?\nAnswer: 680130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.19 - -1.19. Let p = 25.85 + u. Let k = -1 + 4. Put 5, p, k in decreasing order.\nAnswer: 5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456918 divided by -11\nAnswer: 41538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efjj when four letters picked without replacement from {j: 2, n: 1, f: 3, e: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10777 - 5941. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (1400\/2450 - ((-846)\/14 - -3)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 30 = -8*s. Suppose -5*l - s*g - 140 = 0, 0*g = 3*l - 5*g + 52. Which is greater: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80353 and 43267?\nAnswer: 562471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 5, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5183 + 4697 = 4*x. Is (x\/50 - -5)\/((-4)\/(-10)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:51 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*s - 19, 2*s + 33*z - 32*z + 8 = 0. Sort 3, 29, s in descending order.\nAnswer: 29, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(192) + sqrt(192) + sqrt(192) + 2 + (sqrt(192) + (sqrt(192) - (sqrt(192)*2 + sqrt(192))))**2*2.\nAnswer: 24*sqrt(3) + 386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*g + 27 + 12, 5*g + 11 = 3*w. Let s(d) = -33627*d**3 + 33626*d**3 - 5 - 2*d + 0 - w*d**2. Calculate s(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 71 (c) 70 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 59, 289, 893, 2057, 3967?\n\"Answer: 31*z**3 + z**2 + 10*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2022 and 725224.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800853197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -0.21, -4, 2\/5, 2\/13 in descending order.\nAnswer: 2\/5, 2\/13, -0.21, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2 + 1308*u + 187.\nAnswer: -(u - 187)*(7*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-99)*3 - (-2)\/(-11). Which is the closest to r? (a) -2\/9 (b) -3 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12474448 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from jwxj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73 and 2.1.\nAnswer: -70.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -7.5. Let o = -1 + -3. Let w = m - o. What is the smallest value in w, 0.4, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.264011 to 3 decimal places.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 - 3*i**4 + 22*i**3\/3 - 2*i**2\/3 - 7*i + 11\/3.\nAnswer: -(i - 1)**3*(i + 1)*(i + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**2 + 4*b + 13. Let c(g) = -g**2 + 3*g - 11. Let m(t) = t - 5. Let o(i) = -2*c(i) + 5*m(i). Calculate -2*d(n) - 9*o(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -212 - -3?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let l(j) = -j**2 - 7 - j**3 + 16 - 16 + 14. Give l(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51640*o**3 - 289*o**2 - 669664*o - 41?\nAnswer: 309840*o - 578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 2*d + 4*d)*(0*d + 0*d + 2*d) - 7*d**2 - 2*d**2 + 2*d**2 + (-2*d + 4*d - d)*(-3*d + 9*d + 2*d) to the form v*d + z + l*d**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53220 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.1 + 23.8. Let i = z + 4.8. Let q = i + -13.5. Which is the second smallest value? (a) q (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3318 * 6\nAnswer: -19908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 442665 and 7.\nAnswer: 3098655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8183 - 12*x - 23455 + 7637 + 7635.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25692158 divided by 25692158?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 770 = p. Let c = 160 + p. Suppose 5*o = -3*x + 215, x - 3*o + 2 - c = 0. What is the highest common factor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2. Let w(l) = -2*l**2 - 3*l. Let d(a) = 28*a**2 + 49*a. Let j(r) = 6*d(r) + 98*w(r). Calculate -7*g(i) - 2*j(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1181, 4737, 10659, 18947, 29601, 42621?\nAnswer: 58007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n = -175*n + 41*n + 348 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 119*s**2 + 91. Let v(p) = -21*p - 98. Let n be v(4). Let z(u) = -3 - 2 - 4*u**2 + 2. Let b(o) = n*z(o) - 6*j(o). Let r(g) = -g. What is b(r(x))?\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5237\/5 + 41471\/40. What is the common denominator of s and (-1 - -3) + (-35)\/78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/479, -5\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-3153)\/1053 + 0 - -3). Let i = b + -125. List the prime factors of i.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1302.68\nAnswer: -260.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 - t. Let y be j(1). Suppose 4*h - y - 7 = 0. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 18?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - 3\/(-45). Let p be -1*(0 - (0 - (1 - 0))). Let s be 26\/(-1001)*7\/p. What is the second smallest value in o, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*-1 + (-36)\/18.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559080 to the power of 1\/2, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*m**2 + 42*m**2 + 8*m**3)*(157*m - 116*m - 658*m - 53*m) + 1 - 2*m**4 - 1.\nAnswer: -5362*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*j + 87*j. Suppose j = 8*y - 11*y - 18. Is (2 - 1)*(y - -192) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8403 is divided by 7877.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108950.\nAnswer: 2, 5, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11103*m = 5465*m + 5476*m + 16200 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 762150282 to the power of 1\/3, to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-112))\/(-2) - (270\/14 + -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*g - 63 - 152 - 760 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -17*r**3 - 6*r**2 - 7*r - 2. Let l be h(-1). Let b = 11 - 7. Suppose -5*z = -b*s + 3*s - 12, 4*z - s = 10. Solve -2*q = z*q - l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(4 - 2 - 1)*(-76*n**3 - 166*n**3 + 52*n**3) + n + 3*n + 2*n**3 - n**3.\nAnswer: -379*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -45 + -12 + 42\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(29\/2)\/(m\/(m\/(m\/m**14)*m))*m**(-2\/3)\/(m**(7\/3)*m*m) assuming m is positive.\nAnswer: m**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 11*h**4\/24 + 13*h**2. Let f be j(-4). Let w = f + 82. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1196 - 199. Suppose -2*x + 0*x = 5*p - 385, p = -5*x + y. Calculate the greatest common divisor of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2734*x = -2757*x - 92 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 4a25 (base 11) in base 3?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*6\/(-20))\/(11\/(-110)). Suppose 2*h + 2*h - 1212 = 0. Is 4*(h\/y - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23*1*-2 - 357*(-228)\/(-9044)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62650 and 4500?\nAnswer: 5638500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -4, -11, 84, 5, -3 in decreasing order.\nAnswer: 84, 5, 3, 0, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*546\/112 - 6)\/12?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 484622.4 millennia?\nAnswer: 484622400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 1. Let a be q(2). Suppose 4*x = -5*n + 193, -n = n + a*x - 84. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1253 and 5549?\nAnswer: 38843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 16*v**2 + 27*v + 2. Let g be a(13). Is 9 a factor of (-22)\/g - (1 + (-138)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(506\/(-22)) - 7*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1182*r**3 + 515*r**3 + 605*r**3.\nAnswer: -62*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2564 + 12778\/5. Let n be 10\/(-2)*5\/((-25)\/17). Let s = n - 25. Is s != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91292979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7857225, -7857224, -7857223, -7857222, -7857221, -7857220?\nAnswer: -7857219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqbo when four letters picked without replacement from {f: 1, w: 2, b: 1, q: 1, v: 1, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 34812.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 5*r - 2568 = 0. Suppose 4*o - 370 - r = -4*p, 12 = 4*o. List the prime factors of p.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-16)*h)\/h**26 assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302796745.\nAnswer: 5, 60559349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + i - 5*i)*(0 + 0 + 2*i**2) + 0*i**3 - 2*i**3 + 3*i**3 - 44248 + 44248 - 225*i**3 + 0*i**3 + 0*i**3 - i**3.\nAnswer: -229*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 5*k = -320. Find the second derivative of k*v + 35*v**3 - 2 + 9*v**3 - 16*v - 2 wrt v.\nAnswer: 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 3159?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n + 7*n - 18*n**3 + 4*n wrt n.\nAnswer: -108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5382 = -5343. Let m = n + 973. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-80)*-12*9*(-10)\/75?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717434888?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1142899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -354 + 368. Calculate the highest common factor of 42 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*n**2)*(-66 - 13 - 30)*(2*n**3 - 2*n**3 - n**3).\nAnswer: 327*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**7\/720 - y**5\/5 - 6*y**2. Let q(i) be the third derivative of l(i). Give q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvrvvpjprvppjjprppj. What is prob of picking 3 r?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.747 - -0.067. What is p rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106829934 divided by -223.\nAnswer: 479058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 34344599?\nAnswer: 34344604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/20 - 7*x**4\/12 + 3*x**3\/2 - 8*x**2 - 4*x. Let b be r(6). Suppose 0 = -b*u + u + 1259. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/259, 50, 2.\nAnswer: 1\/259, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001311 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*243\/315 - (-1)\/7. What is the second derivative of -12*s**z + 12*s**4 - 4*s**3 + 220*s**5 - 178*s + 4*s**3 wrt s?\nAnswer: 4400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/(16\/(-32)). Let h(p) = -p**3 + 3*p**2 + 3*p + 3. Calculate the remainder when 0 - 2\/((-2)\/(-177)*-3) is divided by h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + (-2)\/(-5) + -1. Let f be (-86)\/(-6) + (-8)\/(-12). Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112.8 - -113. Let k = 0.2 - 0.3. Which is the smallest value? (a) k (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 0 - (13 + -12) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 65.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (12 - (4 + -2))) + 19\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 289*z - 2287. Calculate m(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 4*q, 18 = 6*q - q + 2*w. Let v be q + -10 + 4 + 40. What is the highest common factor of 90 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 6)*((4 + 2 - 3)*(-2*v**3 + 4*v**3 + 0*v**3) - 2*v**3 + v**3 + 4*v**3) to the form d + r*v**2 + s*v + t*v**3 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3. Let b be v(-3). Let s = 1 - b. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2026*x**2 + 467*x. Let i(o) = -122*o**2. What is v(i(a))?\nAnswer: -30154984*a**4 - 56974*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3 + 3*n**3 + 5 in the form o + z*n + d*n**3 + t*n**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2 - (8 + 1). Let z = 68 + i. Suppose 0 = 2*v - z - 21. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-1\/4)\/p))*p\/p**5)**(4\/9)\/((p*p*p**(-3)\/p*p)**33)**(-11) assuming p is positive.\nAnswer: p**(-3284\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 1. Let q = 15 - 14. Calculate g(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -30 in descending order.\nAnswer: -2, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33059206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 28*t + 1. Determine b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - 66\/(-12). Let k(n) = 2 - 1 - c - 20*n + 5*n**2 + 9*n. Is k(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - o - 7, s - 3 = 3*o - 2*o. Let j(r) = -5 - 11*r + 3 + 3*r. Determine j(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 127*v = -6*i - 131*v + 1, 0 = i - v + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/25)*c**(-29)*c*(c*c**(3\/11))\/((c*c\/(c\/(c\/c**(-30))))\/c) assuming c is positive.\nAnswer: c**(-15897\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 399837 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14468286, 28936554, 43404804, 57873036?\n\"Answer: -9*a**2 + 14468295*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2454758366 to the nearest integer?\nAnswer: 49546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/3 - 388*b**4\/3 - 782*b**3\/3 - 392*b**2\/3.\nAnswer: 2*b**2*(b - 196)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73497480 and 498288.\nAnswer: 146994960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 5189. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508.6 - 5383.3567405.\nAnswer: -4874.7567405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -43. Suppose 0*l = -4*t + 5*l + g, -2*t - 3*l = -8. Suppose 0 = -t*b - 36 + 128. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 4. What is the lowest common multiple of 2 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*p - 5. Let j be ((-4)\/(-3))\/(p\/(-15)). Suppose -4*w - j*o - 4 = 0, -4*w - 4*o = w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(-5)\/(y\/(y**(-2\/13)\/y)*y*y**(-9\/2)) assuming y is positive.\nAnswer: y**(-875\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1021 + -524. Calculate the common denominator of q\/84 - 1\/(-4) and 57\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3767621 and 429?\nAnswer: 11302863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-14)))\/(k**(-1\/18)\/k*k) assuming k is positive.\nAnswer: k**(253\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8595595, -34382388, -77360383, -137529586, -214890003, -309441640?\nAnswer: -421184503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 29*d**6\/360 + d**5\/120 + d**4\/24 + 68*d**3\/3 - d**2\/2 - 31. Let j(k) be the third derivative of m(k). Calculate j(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = -4*h, -2*h - 2*h = -4*v + 16. Suppose h = -3*w - 6 - 3. Let l = -37\/36 - -7\/9. Which is the closest to -0.4? (a) w (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:41 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + -1 + -5 + -3 + sqrt(192) + 5 + 6*sqrt(48).\nAnswer: -4 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - a**2 - 5*a - 1. Let w be j(-5). Let b = 30686 - 30682. Calculate the highest common divisor of b and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.8. Let g = -3719\/2 + 1863. What is the second smallest value in s, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)\/n*n**10)\/(n\/((n\/n**6)\/n)*n)**46 assuming n is positive.\nAnswer: n**(-358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111929941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -12*q + 14. Suppose 3*g - p = -2*g + q, 4*g - 6 = 3*p. Solve g = o - 0*o + 3*k + 11, 2*k = -o - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14640 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: List the prime factors of 2112.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5840, 23441, 52774, 93839?\n\"Answer: 5866*m**2 + 3*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2077, 3, -15, -101?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133, 298, 477, 676, 901, 1158, 1453?\n\"Answer: a**3 + a**2 + 155*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 2*u**2 - 7*u + 1. Let r be ((-20)\/(-50))\/(4\/50). Calculate s(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 722 divided by 1\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -5*u + 5*l, 55*u + 15*l - 78 = 50*u + 67 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (35433\/(-13716))\/(139\/2152)?\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26362 - -654?\nAnswer: 27126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Suppose -3*c = -q*c - 15. Solve 5*l - 30 = -c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 43.\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**7\/360 + 77*q**4\/24 - 6*q**2 + q. Let a(f) be the second derivative of d(f). Let o(g) = -2*g**2. Calculate a(o(i)).\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z**3 - 8*z**2 + 4*z. Let p(u) = 3*u**3 + 2*u**2 - u + 1. Let m(l) = -l**3 + 1. Let k(h) = -m(h) + p(h). Give 9*k(n) + 2*x(n).\nAnswer: 2*n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -1\/3 (c) -14 (d) -119 (e) 2\/7 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2. Let f(y) = -407*y. What is f(g(i))?\nAnswer: -814*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 127*a**2 - 2*a - 3. Let s be b(-1). Suppose -2*y + s = 7*y. Calculate the highest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/(r*r**1))**(-10) assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 5*s**4 - 26*s**3 + 26*s**3 wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18))\/(94\/(-188)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -81, -167, -275, -399, -533?\n\"Answer: n**3 - 20*n**2 - 5*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2712 divided by -6.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 29, 51, 89, 149, 237, 359, 521?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/(k\/(k*k**8))*k**(-13)*k**(-10) assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 143*f + 10465. Determine x(45).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -18. Solve j = -6*t + 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*f**4 + 6*f**3 + 40*f**4 - 8*f**3 - 140*f wrt f.\nAnswer: -828*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 158, 236, 314?\n\"Answer: 78*j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 39*v + 40*v + 0*v**4 + 6*v**2 + 2*v**4 in the form k*v + w*v**3 + g + u*v**2 + o*v**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 42. Let o(c) = 13*c + 0*c**3 - 2*c**3 - v*c**3 + 13 + 4*c**2. Let i(h) = -3*h**3 + 2*h**2 + 6*h + 6. Calculate 13*i(b) - 6*o(b).\nAnswer: 3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-378)\/(-45)))\/(4\/140)*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*o**3 + 1845*c**2*o - 6159*c**2 wrt o.\nAnswer: -6*c**2*o**2 + 1845*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t - 69. Give q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 388, 4083, 10234, 18835, 29880, 43363?\n\"Answer: -k**3 + 1234*k**2 - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237792 - 1137225 = 11030*i - 2927*i for i.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0 + 4 + y + 2*y. Determine x(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6314973 divided by -6\nAnswer: 2104991\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, g: 9}. Give prob of sequence kggg.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 10. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6 + 0 - 2 - r. Let a(t) = t**3 + 2*t**2 + t + 2. Let x be (-2)\/4*-4 + -4. Let f be a(x). Give j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.35 + -1.443. Let z = 46.907 - i. Is z less than or equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 23 + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1295 or 22036\/17?\nAnswer: 22036\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58420 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -229056.68 to the nearest one thousand.\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 - 3 + (0 - 2 + 3)*(4 - 2 - 3) + 2 + 2 - 2)*(-8*d + 120 - 120).\nAnswer: -80*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a + 798. Let h be c(36). Let s(t) = t**2 + 5*t + 4. Let b be s(-4). Suppose 6*r = -b*r + h. Does r = 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2150951 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 79 - 7. Let f be 94\/4 - (j\/(-8) - 0). Suppose 0*u = 5*u - f. Solve 5*p = -5*o + u, p - 2*p - 19 = -4*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016063 to five dps.\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 592 = -2*s + 7*s, -2*b = 4*s - 470. Suppose 13 - s = -7*k. Solve -3*v + k = -8*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - 35. Let m be q(-19). Sort m, -21, 1, -3.\nAnswer: -21, -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 14 + 14 - 18*i to s*i + a and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 4*c + 4. Suppose 3 - 19 = 4*w. Let y be m(w). Solve 15 = y*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/30 + 41*j**2. Let i(s) = -2*s - 8. Give i(k(v)).\nAnswer: -4*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -23?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748*z = -694*z + 1497*z - 1925 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssszsztztsssssstsz. Give prob of sequence zszs.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 5*c**2 - 7*c - 10. Give l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240559?\nAnswer: 11, 19, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 12*o**2 + 5. Let t be w(12). Suppose -3*v = -2*v + d - 94, 3*d - 480 = -t*v. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1428 by -42.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3910747\/100 - 39108. Find the common denominator of v and -71\/220.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66b + 74?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, -38463 in increasing order.\nAnswer: -38463, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 + -43?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 48*i + 45 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 35, 1 in descending order.\nAnswer: 35, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvy when three letters picked without replacement from vqy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:48 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -322, -324, -326?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + (3 - (-5)\/(-1)). Let m(c) be the third derivative of -c**5\/30 + c**4\/12 - 7*c**3\/3 + 17*c**2. Let j be m(q). What is j rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.113096*0.4\nAnswer: 0.0452384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/12 + 3*t**2\/2 - 2*t - 8. Let k(a) be the first derivative of n(a). Calculate k(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j + 5 = -21 - 14. Let m(n) = 11*n**2 + n + 2. Let s(f) = -f**2 + f + 1. Give j*m(k) + s(k).\nAnswer: -12*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + 8*u + 3. What is w(-3)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -125924101.\nAnswer: 8\/125924101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108243*l**4 - 12*l + 840.\nAnswer: 1298916*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13 = -4*h, 0 = -2*h + h + 1. What is the lowest common multiple of 36 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 248.865443763.\nAnswer: 253.865443763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -47. Calculate the remainder when 44 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 582 - 582. Suppose -3*i + 2*l + 18 = y, 4*i - 18 = -l - 5. Let d = -6 + 9. What is the remainder when i is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 9*f + 3. Let h be a(-9). Let r be (-4)\/(-6) - (-28)\/h. Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*o + 31707276 - 81957282, -3*i = -o + 10049994. Round o to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q\/(q**(-2)\/q))\/q*q)\/q*q*q)**35*q**2*q**(-3\/4))**(-1\/17) assuming q is positive.\nAnswer: q**(-985\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 47. Let f(m) = -5*m - 48. What is 3*f(g) - 2*v(g)?\nAnswer: -g - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**8\/4032 + j**7\/336 - j**6\/72 - 23*j**5\/60 + 7*j**2. Let g(s) be the third derivative of w(s). Solve g(z) = 0 for z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553462 is divided by 2306.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35264 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 357726403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19995\/4, 119, -8\/9?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyjj when four letters picked without replacement from {j: 7, y: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.5, -4, 79491.4 in descending order.\nAnswer: 79491.4, -0.1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 354888 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057377 rounded to six dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2219249 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmyx when four letters picked without replacement from {m: 2, y: 1, j: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j - 15. Let b(h) = -h**3 + 10*h**2 + 28*h - 48. Let y be b(12). Solve -2*d = -2*m - j, y*m = d + 2*m - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 45*j - 40*j + 13 = 0, 0 = -2*o - 4*j - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156478 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 3 - (16 - (12 - (8 - (-6 + 12))))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/56 of a week?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 7804*i + 46804. Give g(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkq when four letters picked without replacement from {n: 1, w: 4, q: 3, x: 4, k: 1, r: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1475 - 769949\/522. Is a equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 7 = c + 2*q, 0 = 4*q. Let g(p) = 7*p**2 - c*p**2 - p**2. Let h(f) = 4*f**2. What is g(h(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195762 is divided by 65100.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-25)\/3)*99\/6. Let f be ((-594)\/a)\/(6\/304). Calculate the highest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 234*i**3 + 2*i**2 - 2*i + 1. Let y be c(1). Let w = 67 + -38. Suppose 5*r - y = 5*f, r + 9*f - 4*f = w. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71591205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3926767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220440 (base 5) to base 16.\nAnswer: -1dc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -31*d**3 + d**2 + 22*d + 2. Let m(k) = 92*k**3 - 2*k**2 - 65*k - 5. Let t(x) = 6*m(x) + 17*u(x). What is s in t(s) = 0?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -b?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, 1 b, and 1 g when four letters picked without replacement from {a: 1, m: 3, b: 2, d: 2, e: 4, g: 6}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 + y + 1. Let i be k(5). Suppose -6 - i = -3*c. Suppose 5*v - c = 4*v. Solve 0*j - v = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 4*j - 3*j)*((0*j + 0*j + 2*j**2)*(2*j - 2*j**2 - 2*j) + 0*j**4 - j**4 - 3*j**4 + 4*j**2 - 4*j**2 + 15*j**4).\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 1.5. Let k(z) = z**2 + 5*z + 3. Let j be k(-4). What is the second smallest value in -4, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 + 47*y**2 - 44*y + 442. Is z(24) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Solve -2*h + 3 + 1 = s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 1. Let r(w) = -16*w**2 + 5. Let b = 22 - 44. Let l be 1\/((-3)\/4 + 1). Let x(f) = b*i(f) + l*r(f). Differentiate x(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-20))\/((-507)\/(-1690))*(-2)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2234*j**3*p**3 + j**3*p**2 + 613*j*p**6 + 5*p**2 - 207322*p wrt p?\nAnswer: -13404*j**3 + 73560*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.76 times 19\nAnswer: -52.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 3. Let b be l(7). Suppose -b*h = 5*u - 34, 2*h + 3*h - 29 = -4*u. Let p(x) = -x + 13. What is the remainder when 24 is divided by p(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1. Let p(t) = 3. Let o(d) = 2*p(d) - 5*r(d). Let s(f) = f - 4. Calculate 5*o(z) + s(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158389150 and 16400.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7105*v + 3566*v + 3577*v - 21*v**2 + 28*v**2.\nAnswer: 7*v**2 + 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**5 + 178*x**4 - 8*x**3 + x**2 - 27922*x - 33 wrt x?\nAnswer: 80*x**3 + 2136*x**2 - 48*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*7\/(-252) + 13772\/9. Put 2, g, 3 in ascending order.\nAnswer: 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 614.\nAnswer: 122.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d68b (base 15) to base 16.\nAnswer: 553b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6513\/5 in 28, 2\/7, 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 1. Let y(z) = -z**5 + 38*z**4 - 6*z**3 + 17*z - 4. Let f(x) = 6*s(x) - y(x). Find the second derivative of f(n) wrt n.\nAnswer: 20*n**3 - 456*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 - 7.29. Let j = o + 6.55. Which is the third biggest value? (a) 2 (b) 1\/5 (c) j (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 + -0.48. Let x = l + 1.19. What is the third smallest value in -1\/3, 55, x?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1276.943*0.4\nAnswer: -510.7772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092148 bigger than 4092163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1 = -4. Let i = -10109 + 171851\/17. Let y be (1 + (-1)\/3)*-3. What is the closest to y in 0.2, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1 - v - 2*v**3 + v**2 - 5 + v**3. Suppose 0 = 22*r - 20*r. Calculate d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 803 - 803 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323560 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8271008*q*u - 9*q + 19*u - 17962101 wrt q?\nAnswer: 8271008*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 4 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 5:23 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let i(p) be the third derivative of p**8\/10080 - p**6\/60 - 29*p**5\/60 - 50*p**2. Let x(t) be the third derivative of i(t). Calculate n(x(d)).\nAnswer: -2*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1380 by -4.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**4 + 13\/3*l**2 - 4*l + 4\/3 - 2*l**3.\nAnswer: (l - 2)**2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3069049*f**2 + 0 - 2 + 2.\nAnswer: 3069049*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 26\/3*a - 10\/3*a**2.\nAnswer: -2*(a - 3)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 42 = 7. Let n be 756\/(-98) - (-4)\/(-14). Let i = l - n. What is the nearest to i in 0, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 89 = 5*f - 3*h, 3*h + 12 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(0 - 3) - -46822401. Let o = p - 4869484041\/104. Let n = o + -5820\/13. What is the common denominator of 39\/14 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 49 = -23*b. Let w be (b\/((-35)\/(-205)))\/1. Is -43 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4590 - 4590 + 15*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 less than 348?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:30 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -862337 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210813 - 666499 = 783*u - 4514*u - 2187*u for u.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 77285 = -5*j, 2*g - 35*j - 30938 = -33*j. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14509, -14547, -14585, -14623, -14661, -14699?\n\"Answer: -38*p - 14471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 189024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-24)\/6080*-10)\/((-18)\/(-24))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from -178615.\nAnswer: -178614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6078699?\nAnswer: 3, 11, 97, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 3. Let t(a) = -1. Let v(w) = w + 3. Let z(o) = -2*t(o) - v(o). Let i = 1342 + -1346. Give i*z(g) - j(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 1475*p\/7 + 32802.\nAnswer: -(p - 142)*(p + 1617)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by 13?\nAnswer: -230\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 7*i + 21)*(i + i - 9*i) + (2 - 2 - 2*i)*(-101 + 101 + 13*i).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**4\/4 - 5*k**3\/3 - k**2\/2 - 2*k + 5. List the prime factors of j(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18875*y - 18879*y + 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -1 (c) -4 (d) -12 (e) 54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.55*0.4553.\nAnswer: -4.803415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 3*p + 2. Let g(i) = -2*i - 1. Let t be g(1). Let f be k(t). What is the third derivative of y**2 - 3*y - 5*y**f + 3*y + y**3 wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.95 + 12. Let a = q + -0.21. Let b = a + -0.04. What is the nearest to 0.1 in -5, b, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1338115.59 hours?\nAnswer: 7964.97375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*j - j + 3, 10 = 4*j - 3*k. Let a(g) = -147*g - 25 + 145*g + j. Let v be a(-15). Solve 3*c = v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/6 + 5*n**2\/2 + 63*n - 11. Let k = 3 + -1. Suppose k*r = -0*r. What is g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17948536 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*h - 44*h + 249 - 24*h + 29*h as n*h + a and give a.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (65 + -1)*(-36)\/(-16). Suppose -10*l - w = -12*l. What is the highest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, -25, -138, -249, -358, -465, -570?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 207*v + 8356. Determine o(152).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5295.168 millennia?\nAnswer: 529516.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 116, 241, 412, 629, 892?\n\"Answer: 23*q**2 + 10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*o**3 + 1443*o - 1284*o - 59*o**3 wrt o.\nAnswer: -510*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902305 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 + 306. Let o = -37 + q. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1981 by -6.\nAnswer: 1981\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 2 d when four letters picked without replacement from {s: 3, r: 1, d: 3, i: 3, b: 1, u: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + -1 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-27)*23*(-279)\/(-14973).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5758\/15 + 56\/420. Let i = -384 + f. Solve -5*k + k = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32672\/995 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b + 0*b + 3*b - 2*b + 2 - 2 + (0 + 3 - 2)*(-b - b + 3*b) + 1 - 279*b + 2 + 212*b)*(1 + 1 - 1) as r + z*b and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(121) + sqrt(121)) + (sqrt(121) - (sqrt(121)*2 + sqrt(121))*5) + sqrt(121))\/(-3*(sqrt(1100)*2 - sqrt(11))).\nAnswer: 16*sqrt(11)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 451, 1046, 1895, 2998?\nAnswer: 4355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Let g(c) = -c - 1. Let p(a) = -42*a - a - 9 + 7*a. Let m(r) = -9*g(r) + p(r). Give o(m(d)).\nAnswer: 729*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3863 + -3830. Let b(h) = 47*h**2 + 2*h - 1. Calculate the lowest common multiple of b(1) and y.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 41*l**2 + 1 - 34*l**2 - 4*l to the form p*l + i*l**2 + j and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.3.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276480 and 718848?\nAnswer: 3594240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r**(-2\/11)\/r*r)**(-25) assuming r is positive.\nAnswer: r**(-1050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.82 - -1.22. Let a = -1 + 6. What is the closest to 1 in k, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 563a4 (base 14) to base 4\nAnswer: 303011330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/252*-12*(490\/(-45))\/7?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 244 and 2.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149 * 0.4.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 16*m**2 + m + 1. Calculate d(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a - 4 = 0, 2*a = 3*o + 11. Let g be (6 + 9)*(2 - (-5)\/o). Suppose -2*c + 190 = -5*s + 800, -g*c = 0. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/144*-2*6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + 10 - (-26 + 7 + (11 - -5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -5. Let v = 567 - 11909\/21. Is v not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201c (base 14) to base 5\nAnswer: -134024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5100)\/3009)\/(2\/(-59)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -398228.\nAnswer: 7\/398228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 18*n + 20 = -5*g, 5*g + 15 = 4*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 5:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -29.9167482957565?\nAnswer: -27.9167482957565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 21. Let v be o(-7). Let j(p) be the third derivative of 0*p**4 + p**2 + 0*p**3 + v + 1\/15*p**5 + 0*p. Let z(r) = 2*r. What is j(z(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -34625*u**2 + u + 4. Suppose 5*g + 2 = -18. Let m be s(g). What is m rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164324128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5328 and 2213784?\nAnswer: 4427568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 w, and 1 h when four letters picked without replacement from wwmmmmhwvmvp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -404 + 2?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from -211616204081.\nAnswer: -211616204054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/9*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2721755463.\nAnswer: 3, 7, 181, 716063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3 = 8, b = 5*v - 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u - 61*u**3 + 67*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z + 197. Give f(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38587328 divided by -304.\nAnswer: 126932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049597971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 9)*(-138 + 4*i + 217 + 281 + 81 + 154).\nAnswer: 28*i + 4165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from hpppphpchcphprppppr?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -20*k. Let t(o) = -7*o**2. Give t(l(x)).\nAnswer: -2800*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1248, -1252, -1252, -1248, -1240, -1228?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137798659937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 22*x**3 - 6 - 21*x**3 + 4*x - 28 to p*x**3 + a + z*x + m*x**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 2539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-1))\/((-3)\/2). Suppose 3*g - w + 3*w + 10 = 0, -v = 4*g + 2*w. Let y be 2 + (-79 - g) + 2. What is y rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x = 2. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = -i - 10, 0 = -2*x - 4*i + 26. Suppose x*j - 5 = 22. Let w = j - 4. Solve 0*c = c - w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -5. Let r = -4.2 + 4. Let u = -0.6 - r. Put 1\/2, u, z in ascending order.\nAnswer: z, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4098 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2003 + -2003.6. Let t = -1509.60073 - -1510.2. Let b = t + k. What is b rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1472 and 12224?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**3 + 32*h + 7*h - 8*h - 60*h**3 - 29*h.\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 489628*l + 8323673. What is q(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.183845 * -0.3\nAnswer: 0.0551535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 60*k**2 - 7*k - 2. Let u(h) = 188*h**2 - 22*h - 6. Determine 3*u(n) - 10*x(n).\nAnswer: -36*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11685370.\nAnswer: 2, 5, 1168537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10365413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 + 0 + 2 - -5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/27)\/(8\/(10\/20*-1))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1343 (base 5) to base 4\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 247080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**3 + q**2 - 424*q + 47867 wrt q?\nAnswer: -3*q**2 + 2*q - 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 18. Let r(t) = t - 6. Let w(g) = -2*k(g) - 7*r(g). Let i be w(-7). Is ((-12)\/(-10))\/(i\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*l - 6 = 0, l + 4*l = 0. Suppose 0 = x - r + 1. Solve -20 = x*p + 2*i + i, 5*i + 20 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 93, -4, 3 in ascending order.\nAnswer: -4, 3, 5, 12, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -3)\/(15\/(-70))*-3. What is the greatest common factor of 1106 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/210 - o**5\/105 + o**4\/42 + 2*o**3\/21 + 15*o**2. Factor q(y).\nAnswer: -4*(y - 1)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 - -3 - 5). Let f = r - 1. Suppose -2\/11*h**f + 0 + 0*h = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42869501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6*u - 39 - 30 = 0, 5*w = -5*u + 50 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-3))\/k))\/k*(k\/(k*(k\/k**5)\/k*k))\/k*k assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -1\/30*j**5 - 1\/3*j**3 + 0 + 0*j + j**2 - 1\/6*j**4. Factor f(l).\nAnswer: -2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = 2*h, 10*h - 6*h + 4 = 0. Sort 4, z, 10 in ascending order.\nAnswer: z, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*f**3)*(4 + 5 - 5).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*a - 0*a. Let v be ((-5)\/(-2))\/((-5)\/10). Sort 3, a, v in decreasing order.\nAnswer: 3, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 2\/15, -0.93, -4, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 + 14*q + q**2 - 2*q**4 - 7*q + 3 in the form a + j*q**2 + r*q**4 + p*q**3 + s*q and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 + -4. Let l = -0.4 - 0.6. What is the nearest to l in -2\/3, 2\/3, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = 3*b. Suppose -h = -4*j + 14 + 18, -5*h = -j + 198. Let r be h\/b*72\/(-30). Calculate the highest common divisor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:59 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 297618584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207778720.\nAnswer: 2, 5, 1298617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7504195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13630103\/270 + 50482. Calculate the common denominator of 10\/297 and j.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**2 + 0*w**4 + 0*w - 1\/100*w**5 - 7 + 0*w**3. Let a(r) be the second derivative of p(r). Solve a(k) = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007136893 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.424778 + -3.3808. Let a = -0.0435 + k. Round a to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3862*m - 3839*m - 667. What is the remainder when 424 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -279 + 284. Let q be 6\/(-63)*-3 - 16\/840. What is the biggest value in q, -0.2, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 13 = 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 13) to base 14.\nAnswer: -10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * 8525.4.\nAnswer: -20460.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:32 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47083126 to the power of 1\/2, to the nearest integer?\nAnswer: 6862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 68645.\nAnswer: 1\/13729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11430243 + -1?\nAnswer: 11430242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (98\/7)\/(2 + -1). Let s(h) = 5*h - 2*h**3 - 3*h - 5 + 3*h**3 - 8 - 14*h**2. Let t be s(i). Solve -t = 8*w - 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/1*4\/(-4). Let g = -8 + z. Let t be g\/10 + 86\/10. Calculate the greatest common factor of t and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y*z + 8086*y - 2438*z wrt z.\nAnswer: y - 2438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 + 11 = 0. Let p be a - (70 + -3 + 2). Let k = -41 - p. Solve k = 5*y + 2*b, 2 + 3 = 4*y - 5*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - -2 - (-1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 12*r + 12. Let j be k(9). Let h be (12\/10)\/((-6)\/j). Solve -20 = h*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 17*n**2 - 4*n + 17. Let q(z) = -4*z**2 + z - 4. Let i be -7*(-4 + 2 + 180\/(-105)). Give i*q(f) + 6*p(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/362400 and 55\/1208.\nAnswer: 362400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 11*o**2 - 26*o + 4. Let u be n(4). Solve 4*l + 4*i = 12, -6*i + 9*i - u = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28228566639 rounded to three decimal places?\nAnswer: -0.282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364 + 5*j - 374 + 738.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 409 + 45 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236984?\nAnswer: 2, 11, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-18))\/(((-400)\/(-1629165))\/(-8)). Let s = 10872 + r. Calculate the common denominator of s and -49\/201.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + -1 + 3 + 8. Suppose -5*t - 4*r + 25 = -5*r, -4*r - 16 = t. Put 1, t, x in ascending order.\nAnswer: 1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18264434 and 2337.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.0593.\nAnswer: 0.2965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459322 is divided by 1345.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 0, -137 = -3*q + u - 142. Let f(w) = -4*w**2 + 4*w. Let i(c) be the first derivative of c**3\/3 - c**2\/2 + c - 15. What is q*i(v) - f(v)?\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -6.1. Let f = p - -5.5. Let q = -0.3 + f. Sort q, -0.4, -0.5 in decreasing order.\nAnswer: q, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78864*g**2 - 12*g - 5*g + 78866*g**2 + (4 - 3 + 0)*(2*g**2 - 5*g**2 - g**2) to the form w*g + f*g**2 + t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((31\/(-4340))\/(12\/(-48)))\/(2\/(-4))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = q, -4*q = -5*a - 0*a - 10. Suppose 197 = 5*m + a. Let w = -23 + m. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 672 = -4*f, 3*f + 0*f = -3*k + 516. Suppose -m + 17 = -3*p, p + 10 = 2*m - 4. Suppose -10 + f = m*j. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 4 + o**2 - 2*o**2 - o + 2. Determine a(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 6*p**2 + 9*p - 18. Let j be a(7). Let l(v) = v**2 + 3*v - 1. Calculate l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -9) + 14 + (-6)\/((-36)\/(-42)) + -2. Factor -45\/2*u - a*u**2 - 25 - 1\/2*u**3.\nAnswer: -(u + 2)*(u + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422472823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -590 (base 13) to base 10.\nAnswer: -962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 + 40 - 122 - 472*s**2 - 4*s**4 - 80*s**3 - 720*s = 0. What is s?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0)\/(13\/((-234)\/27)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*f**3*t - 1090686*f**3 + 4*f**2 - 5*f*t + 18*f - 23737 wrt f.\nAnswer: 702*t - 6544116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 12 + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 5.\nAnswer: 157\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhdrhddd. Give prob of sequence dr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3042 and 16?\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*h + 38*h + 42. Let f = -11 - h. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6099 or -6102?\nAnswer: -6102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4499\/16 + -280. Let i = -2131 + 29815\/14. What is the common denominator of i and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from lliiil?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Suppose s + 4 = 2*q. Find the third derivative of -q*m + 2*m + 0*m + 4*m**5 - 7*m**2 wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/31339 and -29\/2210824?\nAnswer: 24319064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 100 = 4*z, -4*z - 4*p - 106 = -5*p. Let a = -12 - z. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 256*c**5 + 250*c**5 - 557*c**5 + (2*c**3 + c**3 - 2*c**3)*(3*c**2 + 0*c**2 + 2*c**2 + (4*c - 5*c + 0*c)*(-c - 2 + 2)).\nAnswer: -45*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/3, -0.03, 0.2 in descending order.\nAnswer: 0.4, 1\/3, 0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/3 + 2020*q**2\/3 + 729254*q\/3 - 731272\/3 = 0.\nAnswer: -283, 1, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) - (-1 - 16911\/6). Let p = t - -179. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(12\/11))\/h)\/h)\/(h**(-2)*h) assuming h is positive.\nAnswer: h**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.15, 79, 0.2, 6\/23, -4?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2060 + -214361?\nAnswer: -216451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -706, -848, -1008, -1186?\n\"Answer: -9*z**2 - 115*z - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)**(-21\/5)*x**(-1)*x**(-6) assuming x is positive.\nAnswer: x**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*2 + sqrt(1500))\/sqrt(3).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 58*s**2 - 288*s - 3208. Determine n(51).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 20. Let v be f(10). Let l be (-21)\/v + (-4)\/20. Let t = 89 - 1333\/15. Which is the biggest value? (a) 0.4 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 7*n**2 + 9*n - 4. Let v(x) = -14*x**3 - x**2 + 1. Let k be v(1). Let b = k + 6. Determine a(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3050094*o**2 - 331135*o wrt o.\nAnswer: -6100188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3045631 - -124?\nAnswer: 3046055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1038 and 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-45) - 3 - -4\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*z - 13765 - 6068, -z + 3981 = 5*n. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/4 + 23*c**3\/3 + c**2\/2 - 50*c + 2560. Calculate y(23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-18 - (-21 + -16))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42187 + 18*d**2 - 42220 + 84407.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 5*g - 4. Let t(q) = -q**3 - 2*q**2 - q + 3. Let m be t(-3). Suppose -3*u = -3*f + m, 2*f - 4*u - 10 = -9*u. Give d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -2*t, 2*t = j + 25 - 27. Which is the nearest to 2\/7? (a) j (b) 7 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and 0.050313.\nAnswer: -0.1358451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(558\/31)*12\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45\/8 of a microsecond?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 - 668\/(-8). What is the tens digit of (-277)\/(-7) - 48\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -15.4723055\nAnswer: -6.4723055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 156*o**2 + 138*o + 2619. Calculate z(155).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101 (base 4) to base 5.\nAnswer: -133033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 1. Let j(t) = 6*t**2 + 3 - t**2 - 5*t - 4*t**2. What is -2*j(r) - 5*n(r)?\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8585*d**2 - 6*d**3 - 8585*d**2.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430299 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3736 divided by -4.\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2687, -2243, -1811, -1391, -983, -587?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209 and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + (-11)\/33. Suppose q - 3 = -3*a + 19, l = 4*q + 20. Solve 24 - a = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1330 and -167\/94050.\nAnswer: 658350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-18) - ((-34)\/(-52))\/1. Which is the smallest value? (a) -0.1 (b) -17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1226091131085?\nAnswer: 1226091131084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let s(m) be the first derivative of -m**2 - 36*m + 839. Give -6*q(j) - s(j).\nAnswer: 2*j + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 48 = -3*p, 2*p + 68 = 5*r + p. Let b = -7 + 9. Calculate the highest common factor of b and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 7. Let u = 0.801 + -699.801. Let s = u + 698.8. What is the third biggest value in 0.2, j, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2231338508 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -199130 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 489 - 489.2. Do -16.4 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20337*a + 6500*a + 6519*a + 7273*a.\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 81014 = 3*i, -91580 - 16431 = -4*i + 5*o. Suppose -a + l + i = 0, -4*a + 72127 + 35877 = -l. Round a to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1758341909 to the nearest integer?\nAnswer: 41933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 412, 1428, 2682, 3814, 4464, 4272, 2878, -78?\n\"Answer: -60*m**3 + 479*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -118. Suppose 0 = -i*r + 6*r. Let t be (18 - 8)\/(1*2 + r). Solve 0*s - 2*s + 14 = 2*k, t*s - 20 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82, 170, 258, 346?\n\"Answer: 88*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 689222867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 16*z**2 + 31*z + 69. Determine x(18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let b be 20\/(-3)*(20\/4 + -8). Let j be (-3)\/((-2)\/(b\/x)). Solve 0 = 4*t + 2*i - i - 19, 0 = -3*t - i + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*i - 174, 0 = i - 6*q + 2*q - 52. Suppose -2*c = -6 - i. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2631*l**2*x**3*y - l**2*x**3 - 23*l**2 - l*x**2 - l*x wrt y.\nAnswer: 2631*l**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/18*((-4)\/714)\/((-1520)\/6460)?\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 19 + 12)*(28*h**3 + 3*h**3 - 5*h**3)*(-1 + 2 + 0)*(-5*h + 1 - 1).\nAnswer: 2080*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.90078637 rounded to two decimal places?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b**5 - 21021*b**4 - 36*b**2 - 3*b + 32 wrt b?\nAnswer: -600*b**2 - 504504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(6) + sqrt(726) + sqrt(726) + sqrt(726)*2)\/(-4*sqrt(9)\/sqrt(3)) - (-1 + sqrt(12)\/sqrt(6) - (sqrt(90)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: -45*sqrt(2)\/2 + 2049\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - a**2 + 4*a**2 + 0*a**2 - 3*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4337\/3080 + 9\/440. What is the biggest value in -0.5, -22, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128013+2965.1\nAnswer: 130978.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1009 (b) 19 (c) 5 (d) -2\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(672)*-1)\/(((-1*sqrt(600))\/sqrt(10) - sqrt(60))\/sqrt(10)).\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 49.4. Which is the biggest value? (a) i (b) 0 (c) 116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18583319 and -3576.\nAnswer: -18586895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:32 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 197968781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (-7 + 59 - 25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 190505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 2*s - 8. Suppose 5*f - 24 = 2*p, 0 = -57*f + 54*f + p + 14. Calculate h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360980?\nAnswer: 2, 5, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1888.132 minutes to seconds.\nAnswer: 113287.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120221110021 (base 3) to base 6.\nAnswer: 104521524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r. Let o be (12 + 990\/(-80))\/(3\/(-6*4)). Sort r, -3, o, 5 in descending order.\nAnswer: 5, o, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*u + 36*u - r, 2*r + 4 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-77)\/(-42))\/11*0. Suppose q = -12*w + 16*w - 16. Solve j = 3*m + 6*j + w, -3*j = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + 1 + 2)**2.\nAnswer: 6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -1\/6*t**6 - 2*t**2 + 0 + 0*t**3 - 7*t + 0*t**4 + 0*t**5. What is the first derivative of r(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407542685 a multiple of 1045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 5*t - 4*t - 5*t. Let j(s) = -20*s**2. What is j(w(b))?\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/420*-14*(0 - (0 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(243) + -1 + 0))**2.\nAnswer: -648*sqrt(3) + 2331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 101. Let v be m(-32). Let a(h) = -31 + v + h - h - 26 + h. Calculate a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9236500 to the nearest ten thousand.\nAnswer: 9240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 2121.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333211 - -2?\nAnswer: 333213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*v**5 - 4*v**4 - 87*v**3 - 34529*v**2 wrt v?\nAnswer: 660*v**2 - 96*v - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 7. Let g be b(-17). Let v = g - -35. Let z be (1\/8)\/(v*1\/16). Put 3, -1, z, -2\/13 in descending order.\nAnswer: 3, z, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let z be w\/((-50)\/(-26) + -2). Let u = 18 + z. What is the remainder when 13 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 + 150. Suppose 8 = m*q + 14. Put 52, q, 2, 5 in ascending order.\nAnswer: q, 2, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8721 is divided by 312.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -7501 + 1924. Let q = 509 + i. Solve q = 34*r - 36*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -593 + 592.5. Which is the nearest to 0? (a) r (b) -2\/3 (c) 11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - 0. Let x = 0.2 - c. Let y = 1.7 - 2. What is the smallest value in 0.5, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 + 3*g**4\/2 - 22*g**3\/3 - 10*g**2 + 21*g - 1. Is 6 a factor of c(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4343)\/242703 + 2\/27)\/(20\/8)?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1024934 and 2.16?\nAnswer: 0.221385744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 865 (b) 2 (c) 4\/201 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5, q: 9, d: 3, y: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 + 2*g - 30. Let z be b(6). Let q = z + -49. Solve 2*t - 4 = -k, -q*k + 0*t = 5*t - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 14349?\nAnswer: 28698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 867, 1729, 2579, 3411, 4219?\n\"Answer: -l**3 + 869*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 542534.8t in kilograms?\nAnswer: 542534800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 24. Suppose 0*m + 30 = 3*m. What is the units digit of s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 69\/18385 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83 and 110331.\nAnswer: 9157473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 48*j**3 - j**2 + 10*j - 7. Give z(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10108)\/(-70) + (-15)\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.957208 nanograms to micrograms.\nAnswer: 0.000957208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -127, -208, -301, -406, -523?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + c + 24, 5*p - 21 = p - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1613 + -1615. What is the nearest to h in 6.9, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 + 11*c + 10*c - 21*c.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -32, 0.1, -2\/9, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-3 - 7\/(-2)). Let t be (a\/(-9))\/(76\/120). Let d = -6\/19 - t. What is the biggest value in d, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3151 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 33, 53, 79, 111, 149?\n\"Answer: 3*d**2 + 5*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92658 from -51.\nAnswer: 92607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let g(s) = -72*s + 19. Let p(x) = -2*c(x) - g(x). Is p(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 144 = 4*o. Solve -22 = -b + 5*v, -2*b + 4*v + o = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 - 2*c + 1. Let h(r) = r**3 + r**2 - r. Let i be 4\/6 + 40\/(-24). Let b be h(i). Let j be -1 - ((2 - 5) + b). Calculate m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 2 + 7 - 3)*(10 + 2763*j - 2763*j - j**2).\nAnswer: j**4 - 12*j**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.1 and -0.0345.\nAnswer: 10.0655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {n: 6, p: 1, i: 12}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + 542 + -504.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 668267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -70. Let l be (x + (-4)\/(-1))*1. Suppose 3*r - 1 = -0*j + 4*j, -4*j + l = 3*r. Solve -8 = 7*n - r*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1728)\/1920*((-34)\/(-24) - 1). Let l(h) = -5*h**2 + 1. Let f be l(1). Which is the second biggest value? (a) r (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31102 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.2 and 3821.6?\nAnswer: 3812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(5\/2))\/b)\/(b\/(b**(-1\/2)*b)))**49 assuming b is positive.\nAnswer: b**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**2 - 512*y + 3216 = 0.\nAnswer: -134, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.385 + -0.385. Let g = 75 - 50. Let l = r - g. Which is the third biggest value? (a) 3\/5 (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -33*o**2\/2 - 7*o + 11. Suppose -3 + 12 = -3*d. List the prime factors of l(d).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 7*n + 3. Let x = -5 + 19. Suppose -4 = -2*p - x. What is the tens digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*w - 2*u, -3*u - 11 + 1 = -5*w. Let q(x) = -w*x - 2*x + 7*x + x**2. Let c(h) = -2*h**2. Give q(c(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 6\/(-2) - 3\/3)\/(-1). What is the nearest to 17\/5 in -0.4, 2\/7, -5, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 - -154. Let j = -50 - v. Suppose -5 = 4*a - j. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (-6*-2*sqrt(132) + sqrt(132) + sqrt(132))) + sqrt(132) + sqrt(132) + 5*1*sqrt(132))\/(sqrt(588)*2 + sqrt(588) + 1*sqrt(48)).\nAnswer: -6*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -5 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -5*m**8\/84 + 7*m**4\/24 + 15*m**2. What is the second derivative of x(o) wrt o?\nAnswer: -400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -51 - -18) + 51 + 80?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2 + 526*v + 9520 = 0.\nAnswer: -17, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(2\/80). Suppose 4*f - 48 = -16. Suppose -4*k = -f*k. Solve k = h - 5*h - p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 339*v**2 + 10*v + 3068. Let g(h) = -h**2 + h. Let m(s) = 10*g(s) - j(s). What is the derivative of m(a) wrt a?\nAnswer: -698*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 2*n - 1. Let v be o(1). Suppose v = -2*a - 2*a. Let w(d) = -7*d - 109. Let q be w(-15). Put 2, a, q in decreasing order.\nAnswer: 2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 29*i + 25. Let z be a(9). Suppose -5*f + z = -3*f. List the prime factors of f.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/11 + 136648*l**3\/11.\nAnswer: 2*l**3*(l + 68324)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 9. Calculate x(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440442 (base 7) in base 15?\nAnswer: ac404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15675 divided by -75\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -661*a**2 + 636*a**4 + 1354*a**2 - 28*a - 696*a**2 wrt a.\nAnswer: 15264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from qawaqeq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 144284313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 21. Suppose 0 = 5*s + p*d - 178, -4*s + 0*d + 132 = -d. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.631 in -4\/13, 3, -0.2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 17 = -37. Suppose -3*y + 33 = 3*h, -y - 2 = 2*h - o*y. Solve -3*z + 12 = -h*z + 4*p, 5*z + 3*p - 17 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 + 7*h**4\/6 + 31*h**3\/6 - 19*h**2\/2 + 4*h - 5. Let g be o(-11). Sort g, -56, 5 in descending order.\nAnswer: 5, g, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 divided by 2.\nAnswer: 285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1092, -3549, -7680, -13485, -20964?\n\"Answer: -837*n**2 + 54*n - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**24)**(-3) assuming j is positive.\nAnswer: j**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1016 divide 2243328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18831833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2. Let g(b) be the second derivative of -b**6\/360 - b**4\/2 + 3*b. Let n(l) be the third derivative of g(l). Calculate d(n(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 18458\/594 + (-299)\/27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 98. Suppose -y = -5*j - 5*a - 6, -5*a = 0. Let d(i) = -7*i**j - 3*i - i**2 + 0*i + 12*i - 10 + i**3. Determine d(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1015 and 1421?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261656 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/52 - -113\/156. Is 2 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 4294.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 162\/(-27) - (5 + -16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231732096 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -29, -3, 6, -8, 34.\nAnswer: -29, -8, -3, 6, 34, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 15. Let b be 6\/10 - 6\/(-15). Let m = b - -3. What is the remainder when w is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 2*b**2 - 3*b**2 + (b**2 - b**2 + b**2)*(3 + 2 - 3) - 2*b + 2*b + 2*b**2 + (7*b + 7*b + 37*b)*(-15 + 15 - 14*b).\nAnswer: -712*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1dbb?\nAnswer: -1db6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m. Let h(s) = s + 1. Let j = -13 + 23. Let a = j - 8. Let x(u) = a*h(u) - q(u). Factor x(n).\nAnswer: (n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 17 = -3*l. Does 7 divide (-6908)\/(-198) - 2\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220420 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, -1, 4, 15, -4.1?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.219 - 0.019. Let r = -15 - -15.07. Let q = r + 3.93. What is the closest to f in -2, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 13\/8 (c) 5 (d) -0.1 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 222068\nAnswer: 5\/31724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119 - -4470?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-4) + -861 + 864?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147553 (base 13) to base 16.\nAnswer: 7a845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -24, -1\/3, 21488?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 + 3*p**2 - 68*p - 213. Give l(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22443.5835 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/13 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7501 is divided by 495.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 1, 48, 0, -13 in decreasing order.\nAnswer: 48, 35, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 765405, 1530792, 2296179?\n\"Answer: 765387*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 603855 * -44\nAnswer: -26569620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3)\/(-6)*1. Suppose 3*k - 4*k + 15 = -3*u, 3*k = s*u + 10. Is -4\/3 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 4\/111, -21, -5?\nAnswer: 4\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -203420 divided by 5812?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 872, 3468, 7792, 13844, 21624, 31132, 42368?\n\"Answer: 864*u**2 + 4*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f**(1\/2))**(-1\/5)*((f*f*f*f\/(f\/f**(-2)))**(10\/9))**(-32) assuming f is positive.\nAnswer: f**(-643\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 68*m**2 - 1048*m + 584. Calculate d(45).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 20*j**2 - 98*j - 24. Let n be b(-12). Put 1\/11, 14\/123, n in ascending order.\nAnswer: n, 1\/11, 14\/123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -14\/5*i - 8\/5 + 4\/5*i**2 = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let c(y) = 5*y - 2. Let t(h) = -c(h) + 4*q(h). Let g be t(4). Solve -2*l - g*l + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/12)\/((-2)\/24). Let g be (20\/(-14))\/(-3 + (-80)\/(-28)). Solve -l + 6*l + 5*h = g, -5*h + 1 = -w*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(28 - 28 + 2*j) + (93 + 18*j - 93)*(-3 + 3 - 2).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*j = -2*j + 4, 5 = 2*x + j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000188047 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145975 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-7)\/2. Let y(x) = 7*x - 5. Suppose -2*t + f + 1596 = 5*f, -4*t = -2*f - 3242. Let k(o) = -t*o - 809*o - 3 + 1621*o. Determine u*y(m) + 5*k(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9049\nAnswer: 3\/9049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1186850 and 5600.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691437 is divided by 2690705?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:37 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4690)\/4020*4\/(-35)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 17, -147, -365, -655, -1035?\nAnswer: -1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Let m = 2 + -2.2. Let q = 3148\/15 - 210. What is the second smallest value in q, m, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + -11 + -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-4\/7))\/y*y)\/(y*y**(-8)*y))**48 assuming y is positive.\nAnswer: y**(2544\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 23 = -5*q, 5*c - 2 = 3*q + 8. Sort -3, -4, q.\nAnswer: q, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5053298 centuries in decades?\nAnswer: 5.053298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 + -24)*1\/(-2). Solve -2*c - 2*c + 14 = 5*t, -8 = -w*c - 3*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t = -2100. Calculate the remainder when t is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 193.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5174.972 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 501259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/7 + -59\/63. Sort g, -0.1, 1\/6 in descending order.\nAnswer: 1\/6, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10.00005. What is x rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -41, -72, -109, -152, -201?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29.79 * -0.7\nAnswer: -20.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**3 - 91*q**2 - 8*q. Let h(m) = -4*m**3 + 30*m**2 + 3*m. Give 3*f(y) + 8*h(y).\nAnswer: -2*y**3 - 33*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269*z**2 + 8 + 665*z**2 - 12 - 12 - 290*z**2 to q + b*z**2 + h*z and give b.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - (4 + -15 - (-1 + -8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 209844 divided by 116\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81ba6 (base 14) to base 4.\nAnswer: -1030100312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00684312994 to four dps.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 223726363448\/891 - 251095775. Let d = 345\/11 - v. Suppose -5*w - 3*f = f + 20, -2*w - 5*f = 25. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-6)*32\/6. Let q = k - 5. Factor 10*d - 3 - d**q + 4 + 3*d**2 - 13*d.\nAnswer: -(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261054?\nAnswer: 2, 3, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 65?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 - l + 4. Let m be k(-4). Let o = 30 - m. Let x = o - -44. What is the greatest common factor of x and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1624, -1627, -1634, -1645, -1660?\n\"Answer: -2*o**2 + 3*o - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/179 + -351\/1253. Let o = 77189.92 + -77190. Suppose 0 = 3*b - 13 + 28. What is the closest to d in o, b, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 154?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*j = 193*j + 1000. Let r be ((-205)\/j + 1)*(-1 + -1). What is the closest to -1 in -3, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2011608 divided by 37252.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 982.8667 millilitres?\nAnswer: 0.9828667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -1\/8 (c) 5 (d) 1\/2 (e) 2 (f) -1.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 5*w + 554. Let y = w + -202. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3573764 * 1\nAnswer: 3573764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6035616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11985 + 19264. What is the remainder when m is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 2, x: 2, d: 1, v: 2, n: 5}. Give prob of picking 2 j and 1 n.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16329844*d**2 - 32659684*d**2 + d + 16329836*d**2.\nAnswer: -4*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**2 + 308*f + 1296 = 0 for f.\nAnswer: -4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*1*(-28)\/(-12). Let a be 132\/11 - 0\/(-2 + 1). Let x = a - n. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -0.086, 1.3, -4, 6, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1)*(203*(-1)\/(-10) - (-57)\/285)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1714)\/(-4) + (8 - (-102)\/(-12))?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-8)*(-1608)\/7236.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 17 - -33 - 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7*r + 126. Calculate the remainder when 41 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56615203, -56615206, -56615209, -56615212?\n\"Answer: -3*a - 56615200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007465 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 11107033.\nAnswer: -24\/11107033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.78 + -8.8. Let f = -442\/7 + 63. What is the smallest value in f, 1, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14325859 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 177546222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 433, 816, 1363?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 32*c. Let p(k) = -6*k. Let a(j) = 5*j. Let u(g) = 5*a(g) + 4*p(g). Give u(o(f)).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905 - o - 10*o + 259 + 300 + 254 + 13*o.\nAnswer: 2*o - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149187?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*m**3 + 258443*m**2 - 6449369*m wrt m?\nAnswer: -660*m + 516886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013841495 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 8*f + 20 = 0, -4*f + 1167 = l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a, -2*l - 2*l + 4*a + 244 = 0. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:08 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38621854 to the power of 1\/2, to the nearest integer?\nAnswer: 6215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 5, 4, 5, 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**9*q*q**(-2\/39)\/q*q*((q\/(q\/(q\/(q*q**28\/q)))*q)\/q)\/(((q*q**(-24))\/q)\/q*q) assuming q is positive.\nAnswer: q**(310\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 2. Let g(v) = -27*v - 23. Let x(h) = -3*h - 28. Let p be x(-9). Let i be g(p). Solve z = -k*d - i, -z + 3 - 7 = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 2, a: 1, c: 1, l: 1}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 697 or 732?\nAnswer: 732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r. Let d(c) = -c. Let y(t) = d(t) - o(t). Let i(p) be the third derivative of 11*p**5\/30 - 3813*p**2. Give y(i(v)).\nAnswer: -66*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -8 (c) -2046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/9 + 17\/9. What is the nearest to -1 in 0.4, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + o + 24, -117*l + 3*o = -118*l + 27. Let k = 10 - 5. Put l, 1, k, -1 in increasing order.\nAnswer: l, -1, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 162, 313, 524, 795, 1126, 1517?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - h + 27*h - 49*h in the form f + n*h + t*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/14)\/((-12)\/(-42)). Let y be (2 - 2)*g\/6. Suppose -4*m + 5596 = -y*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383220.1 decades to years.\nAnswer: 3832201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -49 + 45\/12*1476\/615?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764657 (base 8) in base 14?\nAnswer: d6db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 6. What is v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.339 (b) 2\/13 (c) -3 (d) 364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-2)\/(-1)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -1122, -1684, -2246?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0425079kg?\nAnswer: 0.0000425079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - -4) + (-9 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 - -4?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(14\/(-35)). Let u be 5167\/(-1204) + z + 2. Let c = u + 1\/172. What is the third biggest value in c, 4, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010012 (base 3) to base 7.\nAnswer: -30335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/((-9)\/142)*(-135)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 430, 646, 862, 1078, 1294?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7112 and -50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/7337 and 155\/4002.\nAnswer: 44022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29220982*t**3 + 7*t + 3320411 wrt t.\nAnswer: -175325892*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63168 and 250718304?\nAnswer: 3510056256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/952 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35 - -3.61. Let v = w - -0.04. Which is the second smallest value? (a) 2 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51006.81 milligrams to kilograms.\nAnswer: 0.05100681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxauaaaf. Give prob of picking 1 u, 1 x, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39077588, 78155180, 117232772, 156310364?\nAnswer: 195387956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2152, -2098, -2052, -2014, -1984?\nAnswer: -1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236 - 5453?\nAnswer: -5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 40749.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 46*179.1\nAnswer: 8238.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) - (-9)\/(-4). Let j be (-1 + s\/(-3))*0. Let t = 17 + j. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2363 (base 11) to base 9.\nAnswer: -4217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -8.84?\nAnswer: -212.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.991 + 0.009. What is the smallest value in 3, w, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/221 - 288\/2431. Let x = -5\/22 + 19\/11. What is the nearest to x in -1\/6, g, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 11*i**2 + 18*i + 18. Give b(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 4210*m + 3660141 = 0. Calculate m.\nAnswer: 1227, 2983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/60)\/(0 - 6\/15). Which is smaller: 1982 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 482*b**2 + 196*b**2 + 3*b - 6*b + 3*b as j + t*b**2 + z*b and give t.\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1 + 0) + 13. Suppose -3*a + 4*k = -45, 2*k - 4*k - n = -a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**4 - o**3 + o. Let q(p) = -6*p**4 - 22*p**3 - 36*p**2 - 18*p. Let h(b) = q(b) + 2*w(b). Factor h(g).\nAnswer: -4*g*(g + 1)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -90 + 10 + 43\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*x + 497*x**2 - 263*x - 959*x**2 - 742*x + 463*x**2 to the form b*x + q*x**2 + i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/11))\/t*t)\/t*t**0\/t*(t\/(t*t\/(t\/t**(2\/3))))**(-4\/3) assuming t is positive.\nAnswer: t**(-29\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 + 516172*k**2\/11 - 516170*k\/11.\nAnswer: -2*k*(k - 258085)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*z - 5*a, 7*a = 5*z + 2*a + 35. Let m = 227 + -210. Suppose -7*o + 10 - m = 0. What is the third biggest value in 6, z, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/234 + -11 + -2 + (-22)\/(-77)*49?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)**(-46) assuming r is positive.\nAnswer: r**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(114))\/sqrt(6) + ((sqrt(304))**2 + sqrt(19))*-3 + sqrt(19) + (2 + sqrt(931) - sqrt(19) - sqrt(19))**2 + 3.\nAnswer: -430 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = -3*p. Suppose p*m - 4*n - 229 = -m, -2*n = -4*m + 182. Suppose -5*l = -60 - m. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a kilometer in meters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*c - 4*q, 0 = -c + 53*q - 54*q + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/4 - 10*d**3\/3 + 14*d + 86. Let z be k(10). What is the greatest common factor of z and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d*t**2*v - 176*d*v - 2*t**5 - 3*t**3*v - t wrt t?\nAnswer: -8*d*v - 40*t**3 - 18*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 34. Let v(z) = 39*z**2 + 115408854*z - 115408854*z + 1. Determine x(v(b)).\nAnswer: 1521*b**4 + 78*b**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 1 - ((-996)\/48 - -27).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 51, 112, 199, 312, 451, 616?\n\"Answer: 13*n**2 - 4*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 52\/(-16))\/((-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*i - 8, 8 = 2*x + x + 4*i. Suppose 23*z - 25*z = x. Solve 4*a = -z*a + 5*r + 15, 3*a - 6 = 2*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/567 - (-2)\/9. Let u = 76 + -71.1. Let y = u + 0.1. Which is the second biggest value? (a) y (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x*x*x*x*x*x*x\/x**(-2)*x*x*x*(x*x*x\/(x\/x**(-2\/7)))**(1\/2))**(2\/153) assuming x is positive.\nAnswer: x**(194\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -4, 4, 4457, -2 in increasing order.\nAnswer: -4, -2, -1\/7, 4, 4457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351049527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 11926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33999413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 11, -234, 1, -9 in decreasing order.\nAnswer: 11, 1, 0, -3, -9, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1980) + (sqrt(1980) + (sqrt(1980) - (sqrt(1980)*2 - sqrt(1980))) - sqrt(1980)))*6)\/(4*sqrt(15)\/sqrt(3) - -4*sqrt(320)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -3935, -20, -2.\nAnswer: -3935, -20, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 374.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 62088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)\/j)**(-42)\/(j**(-4\/9)\/j*j*j*j\/j**(-3\/10)) assuming j is positive.\nAnswer: j**(62423\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 16*y**2 + 5*y - 10. Let u be g(7). What are the prime factors of (17 + u)*2\/(-6)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + -2001?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 5092694*v.\nAnswer: 2*v*(v + 17824429)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5107, 20416, 45931, 81652?\nAnswer: 127579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*u - 90 + 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/36*0)\/(1390\/(-695)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.96 + 54. Let d = 0.04092 - m. Round d to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 10. Let v = -2 + j. Is -3 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c - 10. Let h be (-6)\/(-10) + 28\/(-5). Let g be r(h). Let a = g - 63. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 12\/3307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 18*q + 5*q + 0 - 77*q.\nAnswer: -90*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 50155\nAnswer: 250775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2346 = 227*j - 329*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2730.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 - 2 + 2. Let s(m) be the second derivative of -m**4\/6 + 2*m. Determine w(s(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z - z)*(-7 - 3*z + 7)*(-13*z - 1308 + 1308).\nAnswer: -117*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -527 + 4128. Let r be ((-818)\/(-10))\/((-12)\/(-530)). Let z = m - r. Calculate the common denominator of 91\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13132 and 15784?\nAnswer: 51818872","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 15470 (base 13) in base 2?\nAnswer: 1001110101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -324*d**3 + 1354*d**2 + 4*d + 29868687?\nAnswer: -972*d**2 + 2708*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(1664)*2)\/((4*sqrt(8)\/sqrt(4) - sqrt(2))*5*1).\nAnswer: -64*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -76, 2, 3, 0.5, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 8*f + 34. Let y be c(11). Sort 4, -7, y in descending order.\nAnswer: 4, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-18)\/(-18))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 5, -2\/11 in descending order.\nAnswer: 5, 5\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 4, -2\/17, -33, -1\/6, 0.054?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 4388*g + 1047384.\nAnswer: 4*(g - 746)*(g - 351)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -2\/3 (c) 6 (d) -782\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 99*u + 15390.\nAnswer: -3*(u - 57)*(u + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 124663264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -i - 5*g, 0*i - 13 = 2*i + g. Let l(h) = -2*h - 8. Let t be l(i). Suppose -3 = -t*f + 17. Solve 2*b = d + b - f, 5*b = 4*d - 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 3*y**2 + y + 3. Let s be d(-2). Solve 2*a = -3*a + u - 9, 3*u + 13 = -s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180411023 rounded to 5 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -364223.720162 + 364223. Let g = -0.721 - r. Let x = g - -0.001. What is x rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 36*f**2 - 38*f + 86. Does 13 divide g(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2721\nAnswer: 1\/2721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 3*y + 5*y**2 + 8*y**2 + 2*y**2 as h*y + z*y**2 + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4427 + -3.\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 + 10)*(-2*c**2 + 2*c**2 - 2*c**2).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 - 2 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31378 + -29377. What is the highest common factor of x and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -60, -897, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3)\/9 - 180\/(-27). Which is the closest to -1\/2? (a) -3 (b) g (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 8) + 1 + 11 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**8\/140 + 9*h**7\/280 - h**6\/60 - 13*h**3\/6 - 7*h. Let s(o) be the second derivative of c(o). Let s(j) = 0. What is j?\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-6))\/(-3*85\/(-459)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.18, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y = 8. Suppose 3*q - u = 2*q - 19, 0 = y*q + 2*u + 18. Let j = 24 + q. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 + 156*i**3 - 1136*i**2 + 1584*i + 2880 = 0.\nAnswer: -1, 4, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5)*(-300)\/70)\/(434\/(-12152))?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3560 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 22*y - 68. Let k be a(-4). What is the greatest common divisor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(24)\/sqrt(2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2849340 is divided by 1424031.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*q - 2*q - 12, 2*d + 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6. Let f(n) = 736*n**2 - n. Let p be f(j). Suppose -2*r - p = -5*r - 4*s, -r + 239 = 3*s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1))**(-2\/193))**(5\/21)*r**(-6)\/(r*r**(-3\/7))*(r*(r*r**(-6\/7))\/r)\/(r\/(r**(-7)*r*r)*r) assuming r is positive.\nAnswer: r**(-7778\/579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 14*q + 22. Suppose -14 = 4*h - 2*g, 175*g = 3*h + 177*g. Calculate m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 668*r + 670*r = -45, -16 = 3*w - r for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let g be y(5). Suppose -g*v = -v - 6. Solve -v*s + 1 = 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:56 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*j + 127, -25*j + t = -19*j - 401. What is the remainder when j is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11. Let p(k) be the first derivative of 0*k**3 + 2 + u*k**2 + 0*k**4 - k - 2\/5*k**5. Find the first derivative of p(j) wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 60*g + 8*g.\nAnswer: 68*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 7:57 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q - 16. Let a be p(-8). Suppose 0 = -11*u + a*u + 123. Calculate the remainder when u is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -32676\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let o(y) = 2. Let x(v) = 10. Let g(r) = -14*o(r) + 3*x(r). Let m(t) = 4. Let w(h) = 4*g(h) - m(h). What is 2*p(d) - w(d)?\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -210? (a) 0 (b) -4 (c) -2 (d) 1\/4 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5536 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i*i**(-2)\/i*i)**(-1\/2))**5 assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-116)\/696 + (-20)\/24. What is the third smallest value in n, 0.1, 17\/5?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43 (b) 1 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -800816, -800814, -800812?\n\"Answer: 2*j - 800818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.81 less than 0.089?\nAnswer: -5.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 21, 14, -1, 7.1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 3:19 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -35. Let h = 20\/9 + -82\/45. Which is the nearest to 1? (a) 3 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j**2 + 6*j**2 - 3 + 4*j**2 + 9*j. What is b(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143041 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -1\/9 (c) 18 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 1\/3 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b - 4. Let r be (-16)\/6*(-9)\/(-4). Let s(k) = 14*k + 11. Let i(l) = r*s(l) - 17*u(l). What is i(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4219 + 4224. Let w = -7 - -11. Suppose y - 1 = -x, -4*x = -y + w*y - 5. What is the third biggest value in g, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -214, -207, -198, -187, -174, -159?\n\"Answer: t**2 + 4*t - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54782 and 98384?\nAnswer: 4820816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(102)\/sqrt(6) + sqrt(68)\/sqrt(4)*4.\nAnswer: -4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/88)\/((-12)\/66).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6619.02 decades to months.\nAnswer: 794282.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + 20. What is the remainder when r is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 8:37 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(208) + 0)**2.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214 + 83. Find o such that -301*o**2 + x*o**2 - 17*o - 31*o = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1878045261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 27*l - 57. Let i be v(-26). List the prime factors of 4\/((-16)\/20) - i*11.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7312.74 (b) -9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -2\/17 (b) -0.5 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:28 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1320 and 79\/532435680.\nAnswer: 5856792480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7818.\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 3*z + 2. Let g be x(-2). Suppose 1 = o - g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 1, s: 1, c: 1, l: 5}. Give prob of sequence brs.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36447, 36838, 37893, 39942, 43315, 48342?\n\"Answer: 55*x**3 + 2*x**2 + 36390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -110*o - 9023. Calculate q(-82).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + i - 9 = 6*i, 2*d - 5*i - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*v - 4, -v + 4*z + 4 = 3*z. Suppose v*q = -2*i + 1 - 11, 0 = -5*q - i - 21. Sort 3, 6, q in increasing order.\nAnswer: q, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2200)\/1540*784\/35.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/6)\/((-2)\/(-3)). Suppose 0 = 10*u - g - 1309. Suppose -9*x - u = -11*x. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220002100201201 (base 3) to base 2\nAnswer: -110000110101010000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13*j**3 + 5*j**3 - 9.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + g**2 + 2)*(5 + 0 - 3) + 4*g**2 - 21807*g - 2*g**2 + 18870*g.\nAnswer: 4*g**2 - 2937*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118066.6*-0.1.\nAnswer: -11806.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2289)\/5341)\/((-1)\/7 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2475*h**4 + 255 with respect to h.\nAnswer: -9900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 1, -5\/2, 40\/827 in decreasing order.\nAnswer: 1, 0.09, 40\/827, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/501347 and 61\/952?\nAnswer: 4010776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1508063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/10 + 138*j**2\/5 - 1091*j\/10 + 408\/5.\nAnswer: -(j - 272)*(j - 3)*(j - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6648 - 5?\nAnswer: -7.6648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -31, 2, 0, -38 in ascending order.\nAnswer: -38, -31, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 3. Let d(y) = y + 1. Let a(v) = 4*v. Let k(i) = 3*i. Let o(s) = 4*a(s) - 5*k(s). Let h be o(2). What is h*c(u) - 5*d(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**25*(b**(-34)\/b)\/b*b*b assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-1)\/2). Let c(y) be the second derivative of -y**3\/6 - 11*y. Let s(g) = -3*g. Let j(l) = h*s(l) + 2*c(l). Let d(a) = 2*a. Give j(d(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/4*(-18762)\/894322\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-380)\/(-36) + -11)\/(-6 + 0). What is the closest to 0 in -0.02, b, 7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 21 - (0 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17740 - -17784. Let u = 8 + -10. Is k < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -208, -418, -628, -838?\n\"Answer: -210*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60731868 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1659 and -15994.379.\nAnswer: -17653.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 301b72 + 1?\nAnswer: 301b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-27)*(-6)\/(-8)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-5 - 3) + 4) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {l: 13, r: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -308913 times 142\nAnswer: -43865646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.61001 - 0.03171. Round v to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8268 and 14469?\nAnswer: 57876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 + -6)\/(1\/2). Let c be ((-5 - -2) + o)*1. Solve 2*s - s = c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 + 5070*o + 1906883. Calculate d(1127).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 10*v - 6. What are the prime factors of l(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*3 + -2 - (sqrt(567) + (sqrt(567) + 3)*5).\nAnswer: -27*sqrt(7) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58107*1093.2.\nAnswer: -63522572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2. Let k(o) = -2955*o**2. Calculate v(k(b)).\nAnswer: 43660125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - m - 5, 4*h = -3*m + 2 + 9. Let k(s) be the first derivative of -5*s + 2*s**h - 2 + 4*s + s. Let y(i) = 2*i. Give y(k(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/8*(-258)\/43*3\/(-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/4 - 91815*g**2\/4 - 2029610*g.\nAnswer: 5*g*(g - 18451)*(g + 88)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*4*5)\/sqrt(3))\/(sqrt(63)\/(sqrt(9) - sqrt(144)*2)).\nAnswer: -140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2368 - -3611. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 + (-19 - (-4 - 10)) is divided by 97.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -546 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.8 (b) -2.1 (c) -0.03 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 44 - 8. Let x be l*((-36)\/2 - 4). List the prime factors of (65\/39)\/(1\/x).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14. Let l(v) = -3*v - 2. Let o be l(-2). Suppose 0*a + 12 = -a - 4*p, z = p + o. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.054 - 10. Round h to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 2:53 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -14466, 1\/5, 4 in increasing order.\nAnswer: -14466, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213 + -212.9. Let o = 5.4 - 5. Sort o, x, 0.5.\nAnswer: x, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4403434, 4403156, 4402878, 4402600, 4402322, 4402044?\nAnswer: 4401766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -48 + 56 + 2 + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let d = 11 + -7. Let t = -4\/5 - -13\/10. Which is the closest to x? (a) 5 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/6)\/(3\/18). Let l = -4 - -9. Solve 5*b - s = l*p, -3*b + 2*b = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (94\/34)\/1 - 3. Let m = g - -11\/119. Which is the closest to 2? (a) m (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - (3 + -3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 385 = -8. Let b(v) = 12*v**2 + 65*v + 126. Is b(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1006*p + 1004*p - 52*p**4 + 132*p**4 in the form q + u*p + n*p**2 + m*p**3 + v*p**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880.3214 hours to nanoseconds.\nAnswer: 3169157040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/110 + 6\/10. Which is the second smallest value? (a) -3 (b) -9 (c) m (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = 50. Let s = a - -15. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/424 - -13277\/1272. Find the common denominator of s and 2\/50*(-4180)\/(-132).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473a899 (base 12) to base 9.\nAnswer: 27812100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 133\/2. Let f be (-24)\/(-27)*2\/(-8). Let w = 21\/44 + 1\/44. Which is the closest to -2? (a) w (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177879 is divided by 544?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.56873354 to three decimal places.\nAnswer: 0.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*u + 5 - 5 as t*u + y and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((936\/(-15))\/(-6))\/(((-64)\/20)\/(-8))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p)\/p**0)\/(p\/(p*p**(-2\/7)))**29 assuming p is positive.\nAnswer: p**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -332?\nAnswer: -5\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**3 - 5*u - 3. Let p be f(-2). Let d = 96 + p. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10293*m + 10211*m + 3690 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m + 47*m - 132*m - 286 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 119448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*p + j, 3*j = -5*p + 10866 - 10831 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/5 - 198*v**3\/5 - 10376*v**2\/5 - 56832*v\/5 - 73728\/5.\nAnswer: -(v + 2)*(v + 4)*(v + 96)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7036306 plus -4?\nAnswer: -7036310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w - 7. Let c be f(10). Let b = c + 136. What is the remainder when 352 is divided by b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 0.065?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14591299?\nAnswer: 2347, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j**2 + 0*j)*(-51 + 34 - 74)*(3*j - 6*j - 2 + 2*j).\nAnswer: -273*j**3 - 546*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - f. Let h be d(1). Suppose 0 = h*b + 2*b - 36. Let a be (23 - 3) + b\/(-3). Calculate the greatest common factor of a and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2630 and 2630?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -62 - 1\/2*z**2 + z. Let n(y) = -3*y + 8. What is -n(u) + 5*r(u)?\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48340)\/7251*(1 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnt when three letters picked without replacement from tllllnttttttnltlttt.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/12 and -103\/1990180.\nAnswer: 5970540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61203\/176 + -1391\/4. Which is greater: 0.2 or g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 1 (c) -1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-616)\/26455 + 4\/74)\/((-6)\/(-10))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-975)\/(-182) - (1\/2)\/(-1). What is the third smallest value in -0.3, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4062 (base 8) in base 15?\nAnswer: 94d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (94 - 2)\/2 - 0\/(-42) is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Solve -3*c - 10 = -l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 428 - 142 = 0. Suppose 3*a = -2*a - h. Let t be a\/(-10) + 2\/10. Which is bigger: t or -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305138, -305143, -305148, -305153, -305158?\nAnswer: -305163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6602 rounded to the nearest 100?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/5 + 2727*s**2. Let j(c) = 3*c - 7*c + 2*c. What is g(j(r))?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 86 + 96 = 0. Sort -3\/7, -1\/2, w, 1 in decreasing order.\nAnswer: 1, -3\/7, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9756137 is divided by 460?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22437.2 - -2272\nAnswer: -20165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 2, -228 in descending order.\nAnswer: 2, -3, -16, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5cc - -27?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 90. Suppose -4 = 20*n - 22*n. Suppose 5*a + 51 = 4*m, 0 = -2*m + 3*m + n*a - 3. Solve -5*g + h = -m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2, -2*c - 5*q - 17 = -5*c. Let l(w) = -w**3 + 26*w**2 - 132*w - 8. Let t be l(7). Let f be c*(-4 - t - -2). Is f at most -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*o - 36, 4 = -h + 4*o - 2*o. Let p = h - 2. Suppose 0 = -p*q - 4 - 2. Put q, 5, 3 in decreasing order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -2\/21, 6\/7, 132.\nAnswer: -0.4, -2\/21, 6\/7, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynmnnyyynynnnnmmytym. What is prob of sequence yyy?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*q + 21 = 33, -v - 2*q = -8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23 - 16 - 20 - 228*r - 2. Is g(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyvewwwynwyyvvexw. What is prob of sequence ne?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 10*w**2 - 5*w - 2. Let v be x(4). Suppose -6*u + u = 0. List the prime factors of 7\/(7\/v) + u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -2\/11 (b) 0 (c) 2761 (d) -1\/3 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 64*i - 34 = 63*i, -177 = 27*b - 25*b - 5*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*((a*a**1)\/a)\/a*a)**(-2\/5)*(a\/(a\/(a*(a\/(a\/(a**(-9)*a)))\/a*a))*a)\/a**(2\/7)*a**(-7)\/a*a\/(a**(3\/2)*a*a*a)*(a**1)**(-3) assuming a is positive.\nAnswer: a**(-1539\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 55\/(-10)*8. Let q(x) = 21*x + 3. Let h be q(2). Let s = t - h. Solve -7*z + 5 = -2*z + 5*r, -4*z = s*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 - 7*x - 4. Let f = -15 + 10. Let v be h(f). What is v rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -2101, -5332, -10143, -16702, -25177?\nAnswer: -35736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1)\/(14\/(-21)). Let c = 26\/5 - 47\/10. What is the closest to c in 6, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - (-78)\/(-18))\/((-15)\/(-450)). Solve 11*y - t = -17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 8, t: 1, v: 1, s: 8}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -2\/11, -0.1, -18.8, 9\/4, 2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 283, 326, 129, -314, -1009?\n\"Answer: -d**3 - 114*d**2 + 392*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-99)*6\/(-1). Let x be (-1 + 2)*(-1 - 61). Let d = 249\/4 + x. Which is bigger: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 times -8?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286366045 divided by -57273209.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 157 = -4*h. Let i = -409 + 402. Let k be ((-6)\/i)\/(9\/h). Are 4 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -66*p - 1985. What is w(-35)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1189 + 1186. Sort 7, w, 1\/4, -4.\nAnswer: -4, w, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 - 15*x**2.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6)*558\/(-181164). Is 1 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -0.5, -3\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 4*d**2 - 4*d. Let z be f(-4). Suppose -z + 4 = 3*w. Which is the nearest to -1? (a) w (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*3\/6*-4. Let o be w\/(-78)*12\/(-8). What is the third biggest value in -1\/6, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316552221 - 0.444.\nAnswer: 316552220.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {r: 1, j: 1, t: 5, m: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {c: 1, y: 5, f: 4, b: 5, x: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/(48\/60). Sort 4\/3, -0.4, y, -2 in descending order.\nAnswer: 4\/3, -0.4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.037 - -0.437. Let o = 1.7 + -6. Which is the third biggest value? (a) o (b) n (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 4 - 8*y**3 - 4 - y**3.\nAnswer: -9*y**3 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 36764*i - 698163. Give x(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 818093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 31*t. Let q(v) = 93850 - 12*v**2 - 93850. What is s(q(r))?\nAnswer: -372*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8211 and 139\/1224.\nAnswer: 197064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2329 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25567 - -46206. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqqw when four letters picked without replacement from gqkgggkkgkwkkkgkg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62\/9, -2\/13, 0?\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 + 588 = 3*g + 4*l, -2*l - 822 = -3*g. Solve -16 = -g*f + 272*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3116071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3608*r - 1095*r + 1622*r - 8984*r - 3241*r as d*r + c and give d.\nAnswer: -15306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3550 - -3554. Sort -0.3, y, 3, -330.\nAnswer: -330, -0.3, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -305*o**2 - 816*o - 3. Determine s(-3).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -2\/3 (c) -2\/483\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33345 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.034 - -0.034. Let g = l + 39.35. Let o = 0.35008 - g. What is o rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.294402 months to centuries.\nAnswer: 0.007745335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13640894341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101563917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 - 13 + 83*n**3 - n**4 - 28*n**3 - 30*n**3 - 2*n - 27*n**3 as u*n**3 + b + p*n**2 + c*n + w*n**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 670711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872144863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2673166*s**4*t - 3*s**2*t - 16685*s*t + 151*s - 4*t wrt s?\nAnswer: -32077992*s**2*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 7. Let n(i) = 2*i**2 + 5*i + 11. Let m(p) = -p**2 - 2*p - 4. Give t*m(c) - 3*n(c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 1 s when three letters picked without replacement from oloysmyykosyyoo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1518 and 27\/3871406?\nAnswer: 11614218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 193184?\nAnswer: 193184.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4823 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -61*z. Let d(t) be the second derivative of 7*t**4\/12 + 5*t**2\/2 - 63*t. Let q(c) = -c**2 - 1. Let n(m) = d(m) + 5*q(m). Give n(i(p)).\nAnswer: 7442*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1586 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -153882.82 rounded to the nearest 1000?\nAnswer: -154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(39)\/sqrt(3) - sqrt(143)\/(-2*sqrt(11))) + -2 + 1*(-2 + sqrt(13)).\nAnswer: -4 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*t + 5*i, 3*t - 10*i - 22 = -6*i for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -13*c**3\/6 + 2*c + 5336. Let i(j) = -119*j. Give f(i(g)).\nAnswer: 1547*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 2*h**3 - 8*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_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 the closest to -17 in -0.3, 2, 2\/11, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 76 + 40 + 5*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1906 divided by 6?\nAnswer: -953\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 0. Suppose 2*p - 7 - 3 = s. Let z(b) = -34*b - 882. Let n be z(-26). Solve q + p*x = 23, -n*q + 11 = -0*q + 3*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(42)\/(sqrt(6)*-5)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.2525\nAnswer: -0.07575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-142)*((-228)\/(-42))\/(-19).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 4019.603, -0.3?\nAnswer: 4019.603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**2 - 45256*f + 369879 wrt f?\nAnswer: 6*f - 45256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 5*h - 5*h**2 + 2*h**2 + 1. List the prime factors of c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 9*t**2 - 7*t - 15. Suppose -c - 5 + 33 = 5*z, 3*z - 44 = -4*c. Let j be p(c). Which is greater: j or -15\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84 times -131853\nAnswer: -11075652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l + 8. Let p = 27 - l. Let q be 0 + p + (0 - -4). Calculate the greatest common divisor of 105 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**2 - 4*f**2 - 10*f**2 + 33*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-3) + -3)*(-3)\/(-2). Let n(u) = 3*u + u**2 + 0*u**2 - 2 - 2*u. What is n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*45\/(-18)*(-1119)\/(-15) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003 - -20021232110?\nAnswer: 20021301113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - -1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) 0.2 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 11. Let h = -8 - -23. What is the remainder when h is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 264 = 65. Suppose -13 = -3*u + l. Calculate the greatest common factor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -52, 2, 1009 in increasing order.\nAnswer: -52, -5, 2, 1009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017229?\nAnswer: 17, 53, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-4))\/(20\/(-8)*27\/540*-4).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**4 - s**2 + 2*s. Let a = 427 + -428. Let h(v) = 5*v**4 + 16*v**3 + 43*v**2 + 26*v. Let o(i) = a*h(i) - 3*y(i). Factor o(q).\nAnswer: -2*q*(q + 2)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 2*i + 3. Let p(l) = -l**3 + 31*l**2 - 11*l - 14. Give -2*p(b) - 11*r(b).\nAnswer: 2*b**3 + 4*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 113116880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23 - ((-12)\/8)\/((-12)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-3 + 7 - 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10565220 divided by 6?\nAnswer: -1760870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 2*l**2 - 2*l - 1. Let x be k(-1). Let u be (-2)\/2 + 5 - 1. Suppose 17 = 5*h - u. Put h, x, 5 in decreasing order.\nAnswer: 5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3 + 3*x + 1 to u*x + g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -49.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421649?\nAnswer: 557, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 673624 or 673625?\nAnswer: 673624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s**2 - 2*s**2)*(2*s**3 - 4*s**2 + 4*s**2) + s**5 - 4*s**3 + 4*s**3 - 3*s**2 + 2*s**5 + 3*s**2.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/6*3*-16. Let j be (1 + -2)*(i + -12). Let a(w) be the second derivative of -w**4\/12 + 5*w**3\/6 + w**2\/2 + 2*w. Calculate a(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, r: 4, a: 2, c: 2, m: 1, w: 2}. Give prob of picking 1 a and 2 r.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13471821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-99)\/11))\/((3\/(-1))\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -490 - -490.1. What is the closest to s in 5, -3\/4, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -1003?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1037 * 15457.9\nAnswer: -16029842.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-24)*-6*(-15)\/6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434.8 + 13.6754825238?\nAnswer: -421.1245174762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbhbhbshhhhbbbswbb.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*(2 - 3)*1*1172\/(-293)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 101*j**5\/30 + 67*j**4\/12 + 184*j**2. Find the second derivative of m(f) wrt f.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -5\/6*w**3 - 1\/4*w - 1\/24*w**6 - 5\/8*w**2 - 1\/4*w**5 - 5\/8*w**4 - 21. Factor y(h).\nAnswer: -(h + 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12026 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2199\/9*(-6 + 3). Let i = 182515\/249 + t. Is 0 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m*m\/(m*m\/((m*((m**(-6)*m)\/m)\/m)\/m)*m)*m))\/m))\/m**(-4))**10*m**5*m*m**(-5)*m*(((m\/(m**(-3)\/m))\/m)\/m)\/m*m**3 assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4) - 0\/(-1 + 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/(-28 - -29).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 82. Let h = w + 222. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from bthbbtjyht?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -109*r + 213. Determine n(3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {m: 8, j: 8, c: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 12) to base 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(114)*4 - (-3*(sqrt(114) - (sqrt(114) - sqrt(114)*-1)) + sqrt(114)))\/((sqrt(726)*5*-5 + sqrt(726))*-3).\nAnswer: -5*sqrt(19)\/198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 156, -4, -1, 1 in increasing order.\nAnswer: -4, -1, 1, 8, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*u = 12, 2*t + 60*u = 55*u + 30. Let q(f) = f. Let h be q(8). Solve t = 5*j - 2*g - 18, -4*j - 5*g - h = -g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -69*j - 23*j - 14*j + (2 - 2 + 2)*(-9*j + 8*j + 3*j).\nAnswer: -102*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 + -0.38. Let f = 0.06 - m. Let i = 160 - 637\/4. Which is the closest to i? (a) -5 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 8. Calculate the highest common divisor of u and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven tenths of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 162*f**2 + f - 7. Let t(j) = 26*j**2 - 1. Determine 5*m(v) - 35*t(v).\nAnswer: -100*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + 1 - (sqrt(13) - (sqrt(26)\/(sqrt(2)*-1) - sqrt(13))))*-4.\nAnswer: -4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from rrmrrdmmdrmhmmmdr?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(1\/(-1)*1). Suppose -2*u = -0*u - x. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 20*t - 19. Let a be 2 + (4 - 9) + 21. Let r be i(a). Suppose -r - 91 = -5*w. What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 138189*l. Let w(y) = -1998*y. Determine w(r(g)).\nAnswer: -276101622*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/30 + 10*m**3\/3 - 125*m**2 - 2*m + 107. Factor p(a).\nAnswer: -2*(a - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(414\/(-84) + 5). Put 0.13, 0.4, p in descending order.\nAnswer: 0.4, 0.13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1777 + -41a37?\nAnswer: -43703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206288?\nAnswer: 2, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -13*u - 9. Let w(j) = 2*j + 10. Let a be w(-8). Is i(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 31*c**2 + 31*c**2 + 90*c**2 + 4 - 5 + 6*c. What are the prime factors of q(2)?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(43\/((-301)\/(-14)))\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 2*c**2 + c. Suppose -2*d - 4 = 4*n, 2*d + 0*d - 6 = n. Let v = n + 4. Is 13 a factor of x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/8243796 and 61\/19030.\nAnswer: 41218980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -5 (c) -1873\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038191 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 27*v + 21593 = 21*v. What is the remainder when v is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:38 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46)\/(-84) + (-2)\/(-7). Let r = 348 - 348. What is the nearest to r in -5, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22412336 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let v(t) = 4*t**2. Let c = 15 - 11. Let i(d) = c - 3*d**2 - 4 + 4*d**2. Let x(l) = -26*i(l) + 6*v(l). Calculate m(x(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:36 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 24 + -4)*1. Suppose -q + 2*a = 4*q + m, a = 5. Let z be 4\/8 + 17\/(-26). Is z bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*g + 626 = -1226 - 479 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 58 = -3*g, -2*g + r - 260 + 287 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1888871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107? (a) 2 (b) 0.02 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/406 and -4 + (-242)\/24 + (-48)\/(-12)?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.99999945 + -73. Round j to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64 + 77 + 274)*(0 + 3*u + 0) to i + a*u and give a.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:13 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 1 - 2*c**2 + 0 + 0 - 2*c**4 - 10 as k*c**4 + g*c**2 + y*c + l + p*c**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, -121, -529, -1297, -2539, -4369?\nAnswer: -6901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(112)\/sqrt(4))*-3)\/(sqrt(256)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4463562 and -19?\nAnswer: -84807678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 555473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2. Suppose 4*q + 2*l - 4 = -3*l, -2*q + 2*l + 2 = 0. Let u be n(q). Solve -6*b + 3*b - 14 = -5*v, 2*v - 8 = u*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 33, 46, 65, 90, 121?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541701?\nAnswer: 3, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*-2*(4*sqrt(14) + sqrt(14)))\/(-1*sqrt(882)*-6).\nAnswer: -10*sqrt(7)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i*i**(7\/4)*i*i*i))*i))\/i*i\/i**(-10)*i assuming i is positive.\nAnswer: i**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -10012323010?\nAnswer: 10012323010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 32133.721 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1554873718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 151*s - 12*s - 82*s + 4 + 0 in the form i*s + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - 6)\/(((-12)\/(-10))\/2). Suppose -q = 4*y - 729, -323 = -2*y + r*q + 58. Suppose y + 167 = 5*g. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.59 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26471949 and -0.1.\nAnswer: 2647194.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(-82)\/(-164).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*2 - (-224)\/28. Sort -0.4, -24, g in descending order.\nAnswer: g, -0.4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + 7*t**4\/24 - 7*t**3\/6 + 17692*t**2. Let c(b) = -b + 6 - 5*b + 0. Calculate -7*c(r) - 6*v(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*12\/(-384)*(-4)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k + 14. Let a be d(4). Calculate the highest common factor of 36 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 25 + 81 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-12 + 8 - 6\/(-5)). Let i be -2*(-9)\/(-480) - 0\/j. Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4558092, -4558089, -4558086, -4558083?\nAnswer: -4558080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*p + 309*p - 155*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 88.58?\nAnswer: -88.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d)\/(d\/(d\/(d**(-2)\/d))))\/(d**(2\/7)*d)**(-26\/5) assuming d is positive.\nAnswer: d**(94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 take away 6?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/120 - 13*n**5\/60 + n**4\/6 + n**3 - 23*n**2. Let l be j(-13). Let y = l + 113. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 840, -5, -2\/99.\nAnswer: -5, -2\/99, 840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68510000 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -18232029732?\nAnswer: 18232029730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170860483?\nAnswer: 19, 373, 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 + (-55)\/10. Let y(g) = -2*g**3 - 7*g**2 - 11*g + 4. Let c(w) = -w**3 - 4*w**2 - 6*w + 2. Calculate b*y(i) + 7*c(i).\nAnswer: i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 49 + 159)*((2*w + 0*w + 0*w)*(-1 + 5 - 2) + 3*w + 3*w - 4*w + 0*w + 2*w - 4*w).\nAnswer: 148*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/85)*j**(3\/10)*j)**19 assuming j is positive.\nAnswer: j**(855\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 985*a + 556. Let t(x) = -984*x - 552. Let h(d) = -4*q(d) - 5*t(d). Differentiate h(f) wrt f.\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u + 16. Does 9 divide 12\/u - 0 - -24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 50 = -3*d + 7*d, d = 4*k + 45. Let b = 18 + k. Calculate the remainder when (-10)\/(3\/(-10 + 1)) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228123035.6 + -5\nAnswer: 228123030.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*y = 5 - 14, 0 = -4*r + 4*y + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*f + 281*f - 185 = 3*m, -4*m = 3*f - 235. Is 78 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*m - 2)*(-m - 3*m + 0*m + (2 - 2 + 2*m)*(1 - 1 - 2) - 3*m - 3*m + 4*m + 0*m + 0*m - m).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -68 + -1 - (-105 - -64)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23725, 47448, 71171, 94894, 118617, 142340?\nAnswer: 166063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1722 and -73\/84.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95385.5 - 1269780.\nAnswer: -1365165.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2615)\/(-4) - (-5)\/20. Let x = -1650 - -1645. Let c be (3\/x)\/(j\/90 - 8). Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose -4*r - d = -2*r. Let v(n) = n**3 - 7*n**2 + 5*n + 7. Let w be v(6). Are w and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/10 + 3*m**2\/2 + 202*m. Let t(x) = -5*x**3 - 10. Let g be 1\/(-3) - (-90)\/27. What is g*t(d) + 10*o(d)?\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1407, -3092, -4785, -6492, -8219, -9972, -11757, -13580?\n\"Answer: -f**3 + 2*f**2 - 1684*f + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 119140 = 3*s, -89372 = 2*r + r + 2*s. Let w = -4131 - r. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228 a factor of 113130562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3672)\/((-765)\/(-15)))\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5150526*f*x + 1101807*f + x + 8 wrt x?\nAnswer: 5150526*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18239760 divided by -84.\nAnswer: -217140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/4 + 1\/(-2). Let p be (-1 + 4 - (10 - 3)) + 7 + 17. Suppose -d*g + 28 = 2*m, 2*g + g = -4*m + p. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/(z**2*z))\/(z\/z**(-2\/29))**(6\/13) assuming z is positive.\nAnswer: z**(-563\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103230223112 - 11?\nAnswer: 1103230223101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 5*o - 6 + (5 + 3 - 2)*(3*o - o + 0*o) + (-2*o + 3 - 3)*(2 - 2 - 1).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41819 is divided by 205?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-1 - -5))\/2. Let y be -5 - (-3)\/((-81)\/(-129)). Put y, -0.5, i in descending order.\nAnswer: i, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2. Let r(d) = d**3 + 8*d**2 - 6*d + 6. Let o(b) = -b**2 + b - 1. Let a(h) = -6*o(h) - r(h). What is 3*a(m) + 7*k(m)?\nAnswer: 4*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 891 and 89100.\nAnswer: 89100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 1\/2*q**4 + 0 + 14*q**3 + 26*q**2.\nAnswer: q**2*(q + 2)*(q + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/18541?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from lppydjdllpp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 3. Let j = -12 - -46. Let g = -36 - -26. Let n be -2 + -2 + g\/5. Let q(t) = 23*t - 17. Determine j*i(m) + n*q(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o - 74. Let f be q(-9). Let u(k) = -3*k. Let b(h) = -11*h + 1. Calculate f*b(m) + 9*u(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002810142 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 54464 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -457.8803 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -61 (b) -9 (c) 0.2 (d) 33\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48991825 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/2, -0.3, -9, 0 in descending order.\nAnswer: 2, 1\/2, 0, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -70703843 divided by -1721?\nAnswer: 41083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 468?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*a = -2*a - 22, 0 = 5*a - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -4, 3.\nAnswer: -4, 1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156768 and 414.\nAnswer: 470304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1510 + -1510. Sort b, 5, -29 in ascending order.\nAnswer: -29, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25122 and 8326194.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2883*k + 1616238. What is j(762)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**0*g*g)**29*(g\/(g**(-1\/2)*g))**16 assuming g is positive.\nAnswer: g**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 2)*(-2 - 7*v + 3*v + v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 130, 153, 174, 193, 210, 225?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3, -55, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291263\/28 - (7\/4)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 300*c**5 + 32420*c**4 + 65732*c**3 + 1212*c**2 - 6368*c - 848 = 0.\nAnswer: -106, -2, -1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or 291093?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 4*s + 30.\nAnswer: -2*(s - 3)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -56*z - 1449. Let t be w(-26). Solve 0 = 4*q + 3*m - t*m - 8, -3*q - 2*m - 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 414 + 124 + 0*f**2 + 117 + 11 - f**2 to k + y*f + x*f**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 3594678\nAnswer: -17973390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(12\/(-46))*(-282)\/94?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 115*b - 2483. Give t(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229216 and 152?\nAnswer: 229216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.5. Let q = -11 + 12. Sort -0.1, k, q in descending order.\nAnswer: q, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 20*n - 13. Let u be o(1). Suppose 3*d - u*d = -1040. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ataz when four letters picked without replacement from apasspptnspzsapnap?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 38694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0*k**5 + k + 15 - 23\/42*k**7 + 0*k**4 + 0*k**2 - 14\/3*k**3 + 0*k**6. Find the second derivative of r(l) wrt l.\nAnswer: -460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23 times -23491\nAnswer: 540293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(2\/9))\/p)*p*p)**(11\/7))**48\/((p*(p**(4\/3)\/p)\/p*p*p*p)\/(p**(-2\/9)\/p))**(2\/59) assuming p is positive.\nAnswer: p**(778226\/3717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2) - (-10)\/12 - (-987 + 988)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -266*s. Let t(g) = -17580*g + 5. Determine p(t(a)).\nAnswer: 4676280*a - 1330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 11 = -46. Put -1, -12, f in descending order.\nAnswer: f, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 23 = -l. Suppose -5*k = -7 - l. Solve 5*v = k + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h - 55*h = -6. Suppose 1 = q - h. Let r(b) = b**2 - 7*b + 5. What is r(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 67. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4080*n**2 - 10*n + 10. Is 60 a factor of v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (158\/(-316))\/(((-6)\/16)\/(2976\/128)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.015 * -0.7398.\nAnswer: -0.011097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113 + -7246146?\nAnswer: -7246033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) - (-70)\/(-56). Is (24\/(-30))\/(f\/((-7185)\/(-6))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - 14. What is the greatest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(63)\/(sqrt(35)\/sqrt(5)*-3))\/(sqrt(27)\/(sqrt(9)*3) + (sqrt(135)\/sqrt(5))\/sqrt(9)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 27 + 26 - 15*y + 27.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) 0.029 (d) -123\/217 (e) 0.5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d + 5*c - 74252 = 20*d, -4*c + 4 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 y, and 1 r when four letters picked without replacement from {p: 1, r: 4, y: 6, q: 2}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 16*p**2 - 88*p + 30. What is y(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.92448 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 68 = 88, -12 = 2*i - 4*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 497 + -931. Let v = -439 - p. What is the nearest to 0 in -3\/5, v, -1, 7\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34382258 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + u + u)*(-8 + 8 - 17*u - 3*u - u + 2*u + (3*u - u - 3*u)*(-1 + 0 + 2) + 0 + 0 + 2*u - 4*u + u + 4*u) to w + n*u + b*u**2 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130548348 to the power of 1\/2, to the nearest integer?\nAnswer: 11426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2. Let c(n) = -4*n**2 + 4675*n - 4675*n. Give c(z(o)).\nAnswer: -100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -584 + 600. Let i = -19\/4 + 5. Is i not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27359216?\nAnswer: 2, 1709951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 87, 134, 183, 234, 287?\n\"Answer: c**2 + 42*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 19. Let z be -118 + b\/(-2)*2. Let y be z\/(-16)*(-10)\/(-3). Solve 0 = -5*h - 5 + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.05, 32467, 14?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 291\/70 - (-3)\/15 and 25\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/99 >= -726107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/25 + (-88)\/(-20). Suppose 35 = 5*g - 0*g + m, -m - s = 0. Calculate the least common multiple of (g\/(-10))\/((-6)\/165) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/12*(92773 - 17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6009 times -0.08779\nAnswer: 527.53011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*q - 18, -4*q + 0*q + 12 = 0. Suppose 0 = -l*i + m + 20, 3*i - 5*m + 26 = 4*i. Is (i\/10)\/(9\/495) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 313037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -25*i**3\/3 + 30. Let t(o) be the third derivative of -4*o**2 + 0 + 0*o**3 + 0*o**4 - 1\/60*o**5 + 2*o. What is t(g(s))?\nAnswer: -625*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13813, 705, -3 in descending order.\nAnswer: 705, -3, -13813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 2.6. Let u = 304 + -299. Let g = 76.3 + -75.9. Which is the nearest to -1? (a) u (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3 - (5 + -6) - -3 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-4 + (sqrt(14) - (sqrt(1134) + sqrt(1134) + sqrt(1134)*1 - sqrt(1134))))\/(-1*sqrt(242)*-6 + sqrt(242) - 4*sqrt(242)*2).\nAnswer: 29*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622 is divided by 1231.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62241 is divided by 62119.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 10 = -4*n, 5*c = 2*c - 5*n + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(128) + 0 - sqrt(128))**2*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103885*d**3 + 11915*d - 2.\nAnswer: 623310*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/11 + 26*j**2 + 566*j\/11 + 282\/11.\nAnswer: 2*(j + 1)**2*(j + 141)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3431 (base 5) to base 4.\nAnswer: -13223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from wjjwjuuuuwuuu.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*69\/23506*12\/9?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 0*p - p - 6*p + p - 7. Let x(v) = -3*v - 4. Let b(j) = 4*k(j) - 7*x(j). Let f(u) = -u**2. Give f(b(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 + 71*t**3 + 616.\nAnswer: 8*t**3 + 213*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*w - 1848 = 109*w + 972 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((8 - -1 - -48) + -15 + 9 + -5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16917\/4180 + -3\/1045. What is the common denominator of 95\/2 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 109*a - 5540. What is the remainder when v(51) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.094*102.6\nAnswer: 9.6444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**6*v - 86*k**4*v + 1586*k**3 + 15*k**2*v + k + 2*v - 69594 wrt k?\nAnswer: 240*k**3*v - 2064*k*v + 9516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -219 divided by -35\nAnswer: 219\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*a - 3*a - 4*a)*(4 - 2 - 3) - 1 + 1 - 2*a - 1 + 1 - a + 5*a - 4*a + 3*a)*(2*a**2 + a**2 + a**2).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/20? (a) 2 (b) 24 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i - 10*i + 13*i)*(-49*i + 126*i + 477*i + 257*i)*(-1 - 1 + 3) as f + x*i**2 + o*i and give x.\nAnswer: 6488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let v(k) = 3107*k - 3107*k - 133*k**2. What is v(w(o))?\nAnswer: -133*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*q - 41 - 2 - 45 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*j = -14, -3*j = -l - j + 6. Suppose 6*o = l*o. Suppose -2*y - y + 57 = o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*f + 223*f = 296 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 11*j**2 - 11*j + 14. Let k be s(-12). Solve 4*i - z - 1 = -14, 16 = k*i + 4*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 64*p**2 + 11 + 62*p**2 - p + p to g*p + m*p**2 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 836 and 838068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - 2. Let n = 128 + w. What is the remainder when 117 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 9, 7, -13, -57, -131, -241, -393?\n\"Answer: -o**3 + 17*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:28 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/120)\/((-81)\/30).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142049 + 167880. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 34. Suppose 0 = j*a - 102 - 26. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-five sevenths of a week?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*u + 73*u - 3*p = -183615, 0 = 3*u + 4*p - 91805. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 215*m - 1600. Is u(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 237 in decreasing order.\nAnswer: 237, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 27*t**2 - 8*t**2 + 16*t + (-19 + 18*t + 41 - 20)*(2*t - 2*t - 2*t))*(-5 + 0 + 3).\nAnswer: 34*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-16)\/6. Suppose 2*q = 6*q + 8. Sort 1, q, p in descending order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908024 is divided by 907933?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 40*r + 58. Let p be a(24). Suppose 3*z = p - 43. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 7. Let z be a(-3). Is z*-46*4\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.111542 decades to centuries.\nAnswer: 0.0111542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(4*(-4)\/(-16)). Suppose 3*p - k*u = -3*u - 37, 4*p = -u - 42. Let s = 11 + p. Solve s = -2*d + 4*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15087, -60337, -135771, -241401, -377239, -543297, -739587, -966121?\n\"Answer: -2*d**3 - 15080*d**2 + 4*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81 - 87) + (0 + 2 - (-2 + 15)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/96831 and -1\/39962.\nAnswer: 2517606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 12. Let g be z(9). Let i be ((-15)\/25)\/(g\/15). Is 2 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 117?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*x - 7707 = 3641 - 788 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 + -225. Suppose 2*f = 2*a, d*a = 3*f - 12 + 22. Solve -2*r + 1 + a = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 8 + 23 + 124*b)*(-92*b**3 - 1863*b + 1863*b).\nAnswer: -11408*b**4 - 184*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 4*z + 2*z - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5006*g + 4617?\nAnswer: -5006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -6*g + g, 0 = -4*v. What is the first derivative of -2*p**2 + 4 - 3 + 4*p**g - 3*p**2 wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y - 106*y - 6 = -h, -h + 6*y = -21. Which is the closest to 1? (a) -5\/26 (b) h (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917 = 144*k - 710 + 1233 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 q when three letters picked without replacement from jaumuqbqmqbquumqubu.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6179 + -6196.214. Let i = f + 17.4. What is i rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 202670126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y + 68. Give n(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52\/(-12) - -3 - -2. Which is the nearest to o? (a) 0.04 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 468, 670?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -2\/3975 (b) 2\/9 (c) 74 (d) -2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:01 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -594432 divided by 158?\nAnswer: -297216\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Suppose -2*t - y*c + 32 = 0, -t = t - 2*c - 22. Let q = t + -4. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/19 - 4365816\/(-798)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 19404 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 354835 < 354837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2147*f + 4207*f - 275608 = -3804*f for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 8*p - 13. Calculate i(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 72 = 8*u. Calculate the smallest common multiple of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) -5 (c) 15\/7 (d) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 5*d + 4. Let v be i(5). Let g = 0 + 2. Solve -v*z + 5*z + r = 0, -r + 5 = g*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2904 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 111 + 6 = -2*m, -3*m = 0. Let x be (-17)\/(952\/(-880)) + 5. Let t = v - x. Which is the closest to t? (a) 1\/2 (b) -2\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -102. Suppose 5*b = 5*l + k, -5*l - 2*b + 5*b = 55. Is ((-50)\/l)\/((-1)\/(-8)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3386, 3363, 3344, 3329, 3318?\n\"Answer: 2*x**2 - 29*x + 3413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -151, -267, -383?\n\"Answer: -116*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -53657?\nAnswer: 53654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88\/9*t - 2\/9*t**2 + 200\/3 = 0. What is t?\nAnswer: -6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 + -101?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8925306l to millilitres.\nAnswer: 892.5306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 3282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14818.\nAnswer: 2, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 18523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbbyyyyybynny. Give prob of sequence bnyn.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*d**2 + 2)*(-2 + 2 + 2*d + 10 - 10 + 5*d + (2 + 0 - 3)*(-4*d + d + 5*d)).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:03 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13140697\/96 + 136881. Calculate the common denominator of p and -137\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2200) + sqrt(2200) + sqrt(2200) + -3*sqrt(2200) - sqrt(2200))*1)\/(5*(2*sqrt(198))\/sqrt(11)).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 6*c = -45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-96)\/(-88))\/(-12))*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3*r - 2. Let n be x(3). Let t(h) = 7*h**2 - 3*h - 2. Let s be t(n). Suppose 2*c - 5*c = 3*v - 12, 3*c - 2*v - s = 0. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/682 and 1\/20.\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 49*l**3 - 35*l**3 - 117*l**2 + 83*l**3 to p + o*l**2 + d*l + c*l**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -1770, -3976, -7064, -11034, -15886?\nAnswer: -21620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 280*s - 348624\/5.\nAnswer: -(s + 324)*(s + 1076)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g*n**2*v + 2*g*n**2 + 357*g*n + 22*g*v - 4*n**2*v + 28*v wrt v?\nAnswer: 2*g*n**2 + 22*g - 4*n**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -0.01268?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 12}. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006919442285 rounded to four dps?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h. Let o be y(-1). Suppose -o*b + 4 = g, 3 - 7 = -g - 2*b. Suppose g*q + q - 5 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssms. Give prob of picking 1 s and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 - 52*(-16)\/64\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.74963 from 4.\nAnswer: 4.74963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43.5 - -44. Round t to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -0.0408.\nAnswer: 0.1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 33. Let t(x) = -1. Let p be (-1)\/(-2)*(-3 + 135). Let u(z) = p*t(z) + 2*d(z). Let l(a) = -144*a**2 + 73*a**2 + 68*a**2. Determine l(u(y)).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-89*231\/(-178178))\/((-441)\/(-39))\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let y = -57\/130 + 1\/26. Which is the closest to w? (a) 0 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1309\/99)\/(-17))\/((-28)\/24)*69.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-2*sqrt(800)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*g + 121*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -397, -396, -395?\n\"Answer: r - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006977 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15846777*n**4 + 41940500*n**2 wrt n.\nAnswer: -380322648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 87439 + 3179. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 607 * -1.136\nAnswer: -689.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-65))\/((-6)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 j when four letters picked without replacement from kkezzjkkkmkzkjzmh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c + 3*c**2 + 0 + 7\/24*c**4 + 5\/6*c**3 + 1\/60*c**5. Give q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Suppose 0*y + o*f = -y - 8, 4*f = -8. Find the third derivative of -7*c**3 + 7*c**3 - 2*c**y + 2*c**5 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-2)\/(3*-8))\/(26588\/(-28152))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 506 - 273 + 596 - 399*u - 177 wrt u?\nAnswer: -399","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from llcrllr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Let c = 3.9 - p. Let a = 0.09 + c. Round a to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 471 + 673*p**2 + 178 - 676*p**2 in the form w*p**2 + h + b*p and give h.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 = q. Suppose 2*k + 3 - 9 = q*d, 5*k = 15. Let v = -6 - -2. Sort v, d, -6 in decreasing order.\nAnswer: d, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*5\/((-30)\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffqqffff. Give prob of picking 2 f and 2 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 2.2. Let o = 0.5 - g. Let n = 215.1 - 215. Sort n, 1, o.\nAnswer: o, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -26. Suppose 4*g - 282 - k = 0. Suppose -4*o = -g - 15. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2 = -13*h + 24, -r + 4*r + 4*h = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 3*p**2 + 1182*p + 3498. Give u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 1066, 938, 756, 502, 158?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(2057) + -1)*-4*1)**2*1.\nAnswer: -79200*sqrt(17) + 7408800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1113661664 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 334\/5, -0.517 in descending order.\nAnswer: 334\/5, -0.517, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088.445344 rounded to zero dps?\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1 - 2*f)*(4*f**2 - 2*f**2 + 2*f**2) + 0*f**3 + f**3 - 5*f**3)*(-f**2 + 3 - 3).\nAnswer: 12*f**5 - 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/15*60\/25. Suppose -b*g + 14155 + 2334 = 5*s, 0 = 3*g - 5*s - 12358. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 312524?\nAnswer: 312521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1920061\/21 + 91450. Let w = x + -56\/3. What is the third smallest value in -0.1, w, 2\/3, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 77*u**5\/15 - u**3\/6 + 82*u**2 - 1. Let g(b) = -2*b**2. Calculate g(c(y)).\nAnswer: -189728*y**4 + 1232*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176355 is divided by 362?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n = 30*n + 8*n + 493 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaxaxxaxa. What is prob of sequence xaaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -4 (c) -5856\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 713\/5 + -142. Put 1\/4, 2, b, 1 in decreasing order.\nAnswer: 2, 1, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-6))\/((-1)\/(-6)). Let j(b) = -b**2 - 9*b - 7. Let d be j(s). Let f be 1\/(d\/(4\/(-18))). Sort f, -1\/3, -0.4 in descending order.\nAnswer: f, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = i + 144, 3*i + 200 = -4*h - 180. Calculate the common denominator of 97\/40 and (-2)\/(-1)*i\/(-80).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g + 2. Let w(f) = -9*f**2 - 4*f - 10. Let y(a) = -8*a**2 - 3*a - 9. Let b(k) = -5*w(k) + 6*y(k). What is 2*b(q) + 5*i(q)?\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0091 - -0.9909. Let s = -8\/107 - -1415\/321. Are u and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 10*u - 5. Let g be w(-10). Let t be (-2)\/10*3*g. Suppose -4*j = 3*o - t*j - 135, -5*o + 3*j = -239. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 1. Suppose -4*o + 2 = -2*o, 3*b + 4*o - 1 = 0. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001011011011011111 (base 2) to base 15.\nAnswer: 58b964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/24 - 2*d**2. Let l(i) be the second derivative of 0 + 1\/6*i**4 + 0*i**2 + 0*i**3 + i. What is x(l(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.13 times 13?\nAnswer: -3173.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587805 is divided by 876.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrsrrr.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -5, -0.11, -0.5, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0)*2)**2 + (sqrt(112))**2 + 4 + -2 + sqrt(7).\nAnswer: sqrt(7) + 3502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 - 3*v. Let b(z) = -z + 116. Give b(q(w)).\nAnswer: -6*w**2 + 3*w + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -498320 less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -59*s - 2\/3*s**3 + 18*s**2 + 0 - 3*s**4 + 1\/5*s**5. Find w such that n(w) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14246392.\nAnswer: 2, 1780799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17862915, -5, 4 in decreasing order.\nAnswer: 17862915, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1144*l + 3323 wrt l?\nAnswer: -1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 4*x**2 + 5*x**2 - 10*x**3 - 88*x**3.\nAnswer: -98*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d = -42. Is (63\/49)\/(-9) - 3922\/d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 1, z: 6}. Give prob of picking 2 z.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 1:42 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 7:50 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -2*r**2 - 5*r - 5. Let n be y(5). Let d be ((-1)\/4)\/(n\/60). Which is the third smallest value? (a) -1 (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68955 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1728*n - 336*n - 420*n + 2627*n.\nAnswer: 3599*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 34025.181 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 12732, -2, 0.\nAnswer: -2, 0, 6, 12732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*d**4 + 46*d**3 + 812*d - 64630317 wrt d?\nAnswer: -532*d**3 + 138*d**2 + 812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-156)\/10)\/(6\/(-105)*-7). Let r be (24\/32)\/(1\/(-48)). Is r >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 - 304 = -5*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {l: 3, a: 1, o: 4, i: 7, e: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -4*z. Suppose -z*j + 68 = 33. Solve j + 13 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**4 - c**3 - c**2 + 1. Let m(v) = -66*v**5 - 58*v**4 + 66*v**3 + 58*v**2 - 4*v + 4. Let j(s) = m(s) - 4*r(s). Suppose j(y) = 0. What is y?\nAnswer: -1, 0, 2\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 4 = 4. Solve q = 7*d - 2*d - 20, -4*q - 2*d + 30 = f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6927540 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729455904.\nAnswer: 2, 3, 19, 109, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -51036 divided by 4?\nAnswer: -12759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = 3*f - 82, 184*f - 185*f = -5*o - 10 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 52. Let y = 141 + -127. Calculate the remainder when b is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 882*i - 3527\/4.\nAnswer: -(i + 1)*(i + 3527)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-66)*(-162)\/108.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102973961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*i - 2)*(2*i + i - i - i - 2*i + 2*i + (2*i + 2*i - 2*i)*(-1 - 1 + 0) + 6*i - 2*i + 0*i + 647*i + 7792 - 7792) to a*i**2 + x + t*i and give a.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w + 36. Let r be 22\/10*(-16)\/(-80)*-25. Determine c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 > -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 13\nAnswer: 80\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681420.5 minutes in seconds?\nAnswer: 40885230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 3256234?\nAnswer: 87918318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 11459070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1782 and -179\/56259720.\nAnswer: 506337480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 + 3. Let s be k(0). Let b(t) = 9*t + 255. Let w be b(-23). Calculate the highest common divisor of w and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -25*o**7\/42 - 2*o**6\/3 + 19*o**5 + 25*o**4\/2 - 465*o**3\/2 + 135*o**2 + 4*o - 65. Solve b(f) = 0 for f.\nAnswer: -3, 1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20813000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/7020 and 15\/53326?\nAnswer: 14398020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -97.\nAnswer: -108\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Let q(y) = -8*y**2 + 17*y - 16. Let x(h) = 7*h**2 - 15*h + 13. Let b(l) = -6*q(l) - 7*x(l). Give b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*n = 2*n - 24, 21 = 2*t - n. Suppose -5*a + t = -0. Let o be ((-200)\/6)\/a*-618. What is o rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-2)*8\/(8 - 0). Suppose 336 = -n*u + 11*u. What is the highest common divisor of u and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3129 + -1635. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1249 and 6.629.\nAnswer: 6.5041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14094419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 + 9*u**2 - 236. List the prime factors of y(-10).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -400622\/37 or -10827?\nAnswer: -400622\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 25 = 9*l - 8*l, -5*g - 15 = 5*l - 11*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -249*l + 1. Let p(r) = 3*r**2. Determine g(p(s)).\nAnswer: -747*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/(-451))\/((-15)\/(-33))*-55.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6020, 12038, 18056, 24074?\nAnswer: 30092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1. Let j(y) = -y**2 + 5*y - 5. Let f(p) = j(p) - 2*x(p). List the prime factors of f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a**2*g**3 - 528*a**2*g + a**2 + 2*a*g - 4*g**4 + 11 wrt g.\nAnswer: -108*a**2*g - 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 172, 101, -1, 0 in increasing order.\nAnswer: -1, 0, 5, 101, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(g + 0*g - 4*g)*(-2 + 2*g**2 + 11*g - 2*g - 3*g**2).\nAnswer: -3*g**3 + 27*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -11*x + 4. Suppose -18*f + 78 = 8*f. Suppose f*i + 3*n = -0*n + 24, 1 = 2*i + 5*n. Let v(t) = -5 + 3 + 6*t - t. What is i*v(j) + 6*o(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.148429134 to 2 decimal places.\nAnswer: 3.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 694265 and 141570.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/20 and 51\/1826.\nAnswer: 18260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 2*o + 11*o**2 - o**2 + 13*o**2 - 22*o**2.\nAnswer: 7*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220 - -215. Let t(h) = h + 8. Let f(b) = -b - 1. Let s(a) = -5*f(a) - t(a). Let x(d) = 6*d - 4. Calculate o*x(l) + 7*s(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -13*m**7\/210 + m**6\/30 - 61*m**3\/6 + m**2 - 13. Find the first derivative of a(l) wrt l.\nAnswer: -52*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 26 - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.2, 2\/65, -0.1 in descending order.\nAnswer: 2\/65, -0.1, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -29*z - 7. Let y be t(-3). Suppose 2*c + 2 = -8. Let q be 1\/c + 303\/15. Calculate the highest common divisor of q and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 123 - 84) + 0 + -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, 3, 1 in descending order.\nAnswer: 4, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - 0 - (8 + (-13 - -14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -449 + 448. Let c be w - -5 - (4 + (-2)\/1). Solve a + 5 = 0, c*s + 0*a - 29 = 5*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272 and 64.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319898638 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: Simplify 2*-3*(1 + sqrt(1088)).\nAnswer: -48*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-30 - (-94472)\/3150)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*2\/(16\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25486, -49961, -74436, -98911?\nAnswer: -123386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.012? (a) -0.3 (b) 4 (c) 839\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m + 12 = y, 4*y - 3*m - 34 = 0. Suppose 2*t - 9 = 5*g, -1 = -5*t + g + y. Suppose -t*d = d - 3. Sort d, 4, 2\/7 in descending order.\nAnswer: 4, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 172 + -78?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138349.\nAnswer: 138349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -26. Let q(l) = 7*l - 18. Let r be q(u). What is the second derivative of -73*i**2 - 4*i**5 + r*i**2 - 6*i wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -j + 3, 4*t - 2*t = 3*j - 9. Let i(n) = n**3 - n**2 + 12. List the prime factors of i(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (1 - (3 + 2)). Suppose -2*r = -4*p + 2*p + 6, 0 = -5*p - 4*r + k. Let o = 4 - p. Solve -j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2261)\/76)\/((-567)\/972)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 8*i - 10. Let n be x(5). Which is the third smallest value? (a) n (b) -1 (c) 69\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z = 56, -3*t = -7*t - 5*z + 111. Suppose -y + t = 2*d + 2*d, -5*d - 4*y = -50. Suppose d*g - 605 = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 0)\/((4\/(-9))\/4). Is x <= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 - 81*f**2 - 13*f + 2. Let q(z) = -z**3 + 27*z**2 + 4*z - 1. Let k(v) = 7*q(v) + 2*r(v). Is k(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 39*x**2 + 56*x + 1027. List the prime factors of n(-11).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15307 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/3 + 158*w\/3 - 140 = 0.\nAnswer: -10, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -1730?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:58 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/46 and (-6)\/12 - (134\/(-14) + 2).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -81592\nAnswer: 3\/81592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*x - 8 = 4*x, -3*r - 2 = 4*x. Let t = 1 + r. What is the greatest common factor of t and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 11*r + 2. Let m be l(-11). Suppose 29 = 6*c - 4*c + 3*k, -20 = -4*k. Suppose -m = y - c. Put -4, y, 3 in increasing order.\nAnswer: -4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 62, 0.6, -10\/11, -2 in increasing order.\nAnswer: -2, -10\/11, -0.1, 0.6, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1166091, 2332176, 3498261, 4664346?\n\"Answer: 1166085*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10394, -10374, -10336, -10274, -10182, -10054, -9884?\nAnswer: -9666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7227856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/6 - i**4\/2 + i**3\/6 + i**2\/2 - i\/3.\nAnswer: i*(i - 2)*(i - 1)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 239.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 23 = 48 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 1. Let h be s(-2). Suppose -r + 2 + h = 0. Let w = 1588 - 1589. Sort -5, w, 3, r in decreasing order.\nAnswer: r, 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:54 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 2*y = 13*k - 4, 3*k - y - 5 = 0. Let x be (-42)\/(-24) - k - (-54)\/408. Which is the fourth biggest value? (a) -6 (b) x (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -36*d + 58 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 less than or equal to 1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2. Let p(c) = -50*c**2 + 30*c - 30. Let n(k) = -k**2 + k - 1. Let u(t) = -30*n(t) + p(t). Give f(u(d)).\nAnswer: -1600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 8*n**2 - 5 + 5 + 3 + 2*n**3. Let d be i(8). Suppose d*z - 17 = 2*z. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = -3*x + 10*f + 6, -9 = 3*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(4\/104). Suppose i*z - 4 = 9*z. Is -5\/12 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-4)*((-72)\/(-42))\/(-3). Let b be (-8)\/6*(y + (-10)\/2). Suppose 0*r + 4*r - 76 = 0. Sort r, b, 2, 1 in descending order.\nAnswer: r, b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628779 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*h**6 + h**3 - 915*h**2 wrt h?\nAnswer: 53040*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/1)\/1 - 2. Let i be 3\/2*h\/6. Let d(g) = g + 8. Is d(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18 and -1674039.\nAnswer: -1674021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 272055734 and 0.1?\nAnswer: 27205573.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1060 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q - 2. Let l be k(-1). Let v be l\/(-9)*(-24)\/(-32). Which is the closest to 0? (a) -0.1 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39011 is divided by 542.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 11*f - 4. Let m be y(10). Suppose -92 - 1096 = -m*i. What is the highest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2852.462 hours in nanoseconds?\nAnswer: 10268863200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4 - (-2 + -3)) + -10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 4*k - 32. Let j(q) = 10*q**2 + 14*q + 112. Let w(i) = 2*j(i) + 7*r(i). Let m(g) be the first derivative of 96*g**3 + 1. What is m(w(n))?\nAnswer: 288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 10*v - 12. Let j be r(-10). Let s be (39\/27)\/(4\/j). Which is smaller: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 6*c - 5*c + 3*c. Let s(p) = p - 8. What is s(u(g))?\nAnswer: 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 43 - 78. Suppose -y*i - 15 = 14*l - 17*l, -37 = -4*l + i. Solve -3*k = -8*k + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((sqrt(95) - (sqrt(95) + (sqrt(95) - sqrt(95)*2)*-5)) + sqrt(95))\/(sqrt(5) - 3*sqrt(80)).\nAnswer: -3 + 4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1252, -3269, -5286?\nAnswer: -7303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + q. Let f(s) = 3*s**2 + 5*s**2 - s + s**2 - 6*s**2. Give -f(k) + 2*x(k).\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-24)*(-1 + -11). Let d = u + 0. Solve -2*y = d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 25*a = 45. Suppose 3*g - 5*g + 10 = -n, -g + a = 4*n. Put 2, n, -11 in ascending order.\nAnswer: -11, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*m + 29*a = 236*m - 79, 9*a + 31 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(27) + 1)*-5 + -1)*5)**2.\nAnswer: 162000*sqrt(3) + 639900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4330470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - 2*sqrt(75)) + 4 + (sqrt(75) - (sqrt(75) + (sqrt(75) - sqrt(75)*-1) + sqrt(75) + sqrt(75)))*3)**2.\nAnswer: -520*sqrt(3) + 12691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12 = 9*y - y + 128*v, 0 = 5*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38393, -2, 12, -17, -4.\nAnswer: -17, -4, -2, 0, 12, 38393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*z + 3 + 10, 4*c = -4*z - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -767681, -1535366, -2303051, -3070736, -3838421, -4606106?\nAnswer: -5373791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 4*h - 4, 5*v - 4*h - 4 = 0. Suppose v = -2*s - 0*s + 26. Let i be (-834)\/(-8) - (-3)\/(-12). What is the highest common factor of i and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3913910*c**6 - 2341401*c**2.\nAnswer: -469669200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k - 7*k + 15*k**4 - k**2 - 5*k - 14*k**4 in the form t*k**2 + h*k**3 + b + p*k + i*k**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*x + 49*x - 200. Let t be (-4 - -1)\/(-6*(-5)\/x). Suppose -s = -v + 40, v + s - 35 + t = 0. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/27544 and -101\/2.\nAnswer: 27544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 9. Let u be 2 + (6\/3 - a). Let h be ((-25)\/u)\/(9\/(-864)). What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:03 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -449*z**2 - 60943*z + 88788790 with respect to z.\nAnswer: -898*z - 60943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4429893 divided by 13\nAnswer: -340761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.22 + -27. Round o to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:56 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2768 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0309 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/11)*l*l*(l**(-4\/5)\/l*l)\/l*l)\/(l*(l\/l**(-2\/7))\/l*l)**(-32) assuming l is positive.\nAnswer: l**(28692\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428*o - 336 = 1484*o. Let g(s) = s**2 - 4*s - 4. Let k(j) = 2*j**2 - 5*j - 5. What is o*g(b) + 5*k(b)?\nAnswer: 4*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 72. Let u = -23374 + 23359.9972. Let m = u - s. Round m to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1777281*b**5*g - 12101*b**2 - 6*b*g wrt b?\nAnswer: -106636860*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8249962 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 58 + 114 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-144)\/(-3) + 29\/(406\/(-28)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 15*v - 15105 = 0. What is the remainder when v is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -27) + 1277 + -1332.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/17 - 3339\/(-20349).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3310 + 3305. Let t = 0.2 + -0.2. Let l = 2 - t. What is the nearest to -1 in i, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 5*m - 50. Suppose m + 32 = 3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f. Let b be s(1). Let q = 73 - 78. Let j be (-5)\/(q\/6) + -1. Solve b = -3*p - 4 - j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((1 - 10 - -19) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*y = -135*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*o - 95, x - 5*o = -10361 + 10232 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18*u. Suppose 0*p + 15*p - 30 = 0. Let c(y) = 87 - 47 - 40 - p*y. What is c(v(s))?\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121 - 12110111?\nAnswer: -12021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.36 = 3\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23434, 23523, 23612?\n\"Answer: 89*s + 23345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 366385042 and 7813899?\nAnswer: 3297465378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnhhehyhhehwyh. What is prob of picking 1 e, 1 y, and 1 h?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1340, 7947, 25932, 60983, 118788, 205035, 325412, 485607?\nAnswer: 691308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 44667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-296)\/74)\/((-1)\/(-2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**5\/o)*o*(o\/(o*o\/o**(1\/7)))\/o*(o**(-5\/6)*o)**(-3\/7))**(-20\/11) assuming o is positive.\nAnswer: o**(50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 3190*x - 3188*x + 39, -5*y + 3*x - 46 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1495\/(1\/1). Suppose 5*p = 3*h - x, -5*h - 3*p + 385 = -2144. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Suppose -10*g - 20 = -15*g. Suppose -g*d + 6 = -5*b - 27, -3 = d - n*b. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.2434 - -18.9173989. Let f = x + 0.326. Round f to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85779 = 2174*j + 1012*j + 653*j + 6357 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 40450616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4680 and 137\/54990.\nAnswer: 219960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, -23, -0.3, 2\/43 in increasing order.\nAnswer: -23, -2, -0.3, 2\/43, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8539561, -17079121, -25618681, -34158241?\n\"Answer: -8539560*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 331031?\nAnswer: -331044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 5. Let l be (-1)\/(1\/3) + -5. Let h be (2\/5)\/(l\/40). Let o(u) = u + 2. Calculate h*y(z) + 5*o(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6516958.\nAnswer: 2, 7, 23, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 62\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 111*u**3 - 435*u**2 + 2367*u - 3417. Let w(o) = -15*o**3 + 62*o**2 - 339*o + 488. Let a(p) = 2*j(p) + 15*w(p). Let a(s) = 0. Calculate s.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 11:39 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 5*o + 4. Let p be t(-5). What is the closest to 3 in -5, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2046*v - 19 = -2045*v - 5*a, -38*v - 5*a = -58 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 0*s + 0*s)*(s**2 + 0 + 0) - s**2 + s**2 + s**5 - 4*s**5 + s**5 + 4*s**5 + (s**4 + 2*s**4 - 4*s**4)*(1 - 1 - s) + 33 - 33 - s**5.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**3\/6 + 3*o**2\/2 - 2*o. Let u be w(-6). Suppose u*p - 40 = 4*p. Solve -d - d = -p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6464.464um in meters?\nAnswer: 0.006464464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 1, -27, 9, -548 in decreasing order.\nAnswer: 14, 9, 3, 1, -27, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59388 and 1758.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824 - 2*f**3 + 3*f**3 - 695 - 129.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 37*j + 7. Let k(p) = -37*p - 6. Calculate -6*c(u) - 7*k(u).\nAnswer: 37*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -23*x + 3. Let c be j(-1). Solve 0*u + 2*n - c = 4*u, -20 = u - 5*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(0*a**3 + 2*a**3 + 0*a**3) + 31 + 19 - 25 + a**3.\nAnswer: 5*a**3 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b\/(b*b**3)*b*b*b*b**3*(b**(1\/4))**(-3\/10) assuming b is positive.\nAnswer: b**(237\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 327 or 326?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6822.703 microseconds?\nAnswer: 6.822703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 2*s - 20, s + 8 = -4*n + 3*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 + 12 = 0. Let r(q) = -q**3 - 12*q**2 - 13*q + 12. Is r(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-7\/5)*(d**17\/d)\/d)\/(d**(2\/35)\/d*d*d*d**(-1\/2)*d) assuming d is positive.\nAnswer: d**(1109\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 5088.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 196275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0) + 5\/(-3). Let r(x) = -x**2 - 4*x - 3. Let b be r(-4). Let z be b + 3 - (-4)\/(-2). Is z at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35411677 (base 8) in base 3?\nAnswer: -112120010221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 168 (b) 0.07 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 338568, 338571, 338574?\n\"Answer: 3*m + 338565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 368. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/9*(-2262)\/(-485576)\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**2*r**4 - 31*g**2*r - 2*g*r**4 + 4*g*r**3 + g*r**2 wrt r.\nAnswer: -24*g**2*r - 48*g*r + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-40)*((-80)\/(-56) - 2) + 4785\/154\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 - 16*o**2 + 6*o**2 - 5 + 5*o**2. Let x(k) = 2*k**2. Calculate x(c(g)).\nAnswer: 32*g**4 - 80*g**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-40)*5*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -10. Let l = -34.2457 - -0.2457. Put 1\/3, d, l in descending order.\nAnswer: d, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 8*p + 9. Let z be v(-9). Suppose -233 = -2*k + 3*o, 4*k - 491 = -z*k + o. Suppose -3*m + k = -29. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -27*b - 125. Calculate t(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -423548 + 5?\nAnswer: -423543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a - 860 = 63*a + 206 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 26*a - 3. Let k(n) = -3*n - 1. What is -5*k(i) - q(i)?\nAnswer: -11*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -24, 3, 13\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1218 (base 9) to base 11.\nAnswer: -756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + 2 - 1)) + (-93 - -100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 5 - (11 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -42. Sort -5, d, 4.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 - -544. What is the remainder when m is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1444, -3007, -4570, -6133?\nAnswer: -7696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p**2 + 3101*p - 18653. Calculate b(6).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 + 29*g - 13. Determine q(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1572 by 131.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + (-10 - (-18 + 8)) + 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -5, -141 in descending order.\nAnswer: 3, 0.2, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/2)\/r)\/r*r*((r\/((r\/(r*r\/(r*((r*r\/(r\/r**(3\/5)))\/r)\/r)))\/r*r))\/r)\/r*r)\/((r*r**(-3\/2))\/(r*(r\/(r\/r**7))\/r)))**(1\/4) assuming r is positive.\nAnswer: r**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 122012110210 (base 3) in base 13?\nAnswer: bb173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (12 - -5) + 0\/1. Let z be (-9 - -7)\/((-4)\/c). Suppose 109 = z*i - 59. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 + 202. Let r(j) = 2*j**2 + j + 4. Let x be r(4). Let k = x - p. Which is the third biggest value? (a) 2 (b) 0.9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177701*h**3 + 45*h**2 - 26*h wrt h?\nAnswer: 1066206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x - 3366 - 2*x + 3376 + x**2 - x**3. Let i be t(-2). Solve -2*v - 10 = 0, 6*k = 2*k + i*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 4*g = -4*l - 68, -3*l + 25 = 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.08, 1, -4, 16417, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 + (-25 - -27) - 298.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 divided by -54?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145770, 291599, 437430, 583263, 729098, 874935, 1020774?\nAnswer: 1166615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o**2 + 2*o + 1. Let m be (-5)\/20 - 162\/(-8). Let g = -21 + m. Calculate k(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29611 + -2)*(-6)\/18 + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(-4 + (sqrt(539) + (sqrt(539)*4 + sqrt(539) + sqrt(539) + -1 - sqrt(539)) - sqrt(539))) + -2 + -5)**2.\nAnswer: 140*sqrt(11) + 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21843 (base 9) to base 6.\nAnswer: 151150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5608813703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*i**3*n**2 - 121*i**3 + 2*i**2*n**2 + 3*i**2*n + 10*i**2 + 2*i*n**2 + 49*n**2 + 8*n wrt n?\nAnswer: 252*i**3 + 4*i**2 + 4*i + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/((n*n\/(n*n**(-5\/8)))\/n)))\/n)\/n*n)\/(n\/(n*n*n**(-1\/5))))\/(n*n**1*n)**22 assuming n is positive.\nAnswer: n**(-2623\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882 divided by -1882?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15319 and -1903?\nAnswer: 13416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 5*d - 3. Let u(x) = -6*x**2 + 11*x + 7. Give -6*u(j) - 13*w(j).\nAnswer: -3*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1530, -3062, -4596, -6132, -7670, -9210?\nAnswer: -10752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 8. Let y be n(2). Suppose -5*z + 3*l + y = l, z - l = 7. Solve 3*w = -z*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/196848 and 11\/8513676?\nAnswer: 34054704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 327319966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - f + 65 = 0, 2*b - f + 183 = -3*f + 217 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 2, 0, 2\/1021 in decreasing order.\nAnswer: 2, 2\/1021, 0, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -280?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 3*l. Let w(g) = 2*g**2 - 845*g - 1. Calculate -2*s(t) + w(t).\nAnswer: -2*t**2 - 851*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22633371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**6\/20 + q**5\/10 - 2*q**2 - 4*q. Let k(z) be the first derivative of t(z). What is the third derivative of k(d) wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkqqkkk. What is prob of sequence kkk?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 164. Let k(i) be the third derivative of i**5\/30 + i**4\/24 - i**3\/6 - i**2. Let y be k(m). Solve 0 = 3*j - y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 37*s + 104032 = 2*t, 2*t + s = 104025. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -75, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*j - 6, 7*j + 5*b - 38 = 8*j. Put -27, j, -2 in ascending order.\nAnswer: -27, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3146)*-1*-2)\/(sqrt(162)\/sqrt(9) + sqrt(54)\/sqrt(3)).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -0.64, 2\/11, -0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (675\/(-10))\/15 - ((-585)\/30 - -19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 72 + 3*k + 5*k**2.\nAnswer: 5*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*n**2 - 2148*n + 621.\nAnswer: (n - 69)*(31*n - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, -0.2, 7.5, -43 in descending order.\nAnswer: 7.5, 1\/16, -0.2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - 7*d - 4. Let b(v) = 15*v**2 + 22*v + 12. Let g(l) = 3*b(l) + 8*o(l). Let r be g(-11). Let h = r + -288. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3729)\/9)\/(-11) + 2\/(-3). Let y be (q\/6)\/((-7)\/(-42)). What is the first derivative of y - 2 + 31*w**2 + 6 wrt w?\nAnswer: 62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 6*k - 75. Let d be 3\/((-3)\/(-234)*3). Suppose -2*v + n = 2*n - k, 5*v - 2*n = d. What is the least common multiple of v and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -21. Solve -2*m + m = v, -3*m = -q*v + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 25*u + 532. Determine w(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1211*a + 45 = 1207*a, -44 = 4*a. Let r = -22 - -18.8. Let p = -0.2 - r. Put p, q, -1\/5 in descending order.\nAnswer: p, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 1. Let d(w) = 2*w**3 - 23*w - 7*w - 51*w**3 + w**3 - 2. Let b(u) = -d(u) + 2*k(u). Find the second derivative of b(o) wrt o.\nAnswer: 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34817, -69635, -104453?\n\"Answer: -34818*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:22 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsscgasrvaas. What is prob of picking 2 s and 1 a?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 - x**2 - x**2)*(4 - 4 + 5) + 6*x**2 - 9*x**2 - 15*x**2 in the form c + i*x**2 + s*x and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-438)\/(-10) - (-6)\/30. Suppose 3*s - c = 7*s. Let a = s - -16. Solve 5*m = 2*y - 28, 0 + 8 = a*y + 3*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/15, 69, 0.2, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + h - 27 = 0, -3*l + 8*l - h = 159. Suppose 4*a - 3*d - 21 = l, a = -3*d - 2. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y = 54*y - 24. Solve -v = -y*v + 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*y**4 - 274*y**3 - 2*y + 446940.\nAnswer: 72*y**3 - 822*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13622, -54360, -122256, -217310, -339522?\n\"Answer: -13579*f**2 - f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - k)*(5 - k**3 - 5)*(k + 0*k + k)*(-3 + 16 + 2).\nAnswer: 30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*f**2*r - 268*f**2 + 3*f*r - 3536*r wrt f?\nAnswer: -58*r - 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*j - 10 + 40, -4*m = j - 23. Find the third derivative of -2*c + 0*c**6 - 1592*c**2 - c**m + 3*c**6 + 1629*c**2 wrt c.\nAnswer: 360*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -377 + 384*h + 386*h - 2*h**2 - 769*h wrt h.\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -21.2. Which is the second biggest value? (a) 2\/11 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1129.19 and 3.9921289.\nAnswer: -1125.1978711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-37)*((r\/(r**0\/r))\/r*r*r)\/r)\/(r**(-1\/2)\/r)**27 assuming r is positive.\nAnswer: r**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5*n**3\/6 - 5*n**2\/2 - 11*n. Let h(a) = -14*a - 14. Calculate -3*h(v) + 8*z(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/27 and (-58)\/16 - (-2)\/(2*-6)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10144865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*g + 38 = g, 4*g = -4*z + 48. Suppose -2*l = -z + 4. Suppose -a + 3*a - 88 = 2*k, a - 36 = l*k. Calculate the remainder when 88 is divided by a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31329 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/27)\/((-550)\/(-660)))\/(10\/615)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*((sqrt(132) - 1*-2*sqrt(132)) + sqrt(132)))\/(-2*sqrt(24)\/sqrt(2) + (sqrt(108) - ((3*sqrt(108) - sqrt(108)) + sqrt(108)))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -159, -82, 2, 20 in decreasing order.\nAnswer: 20, 2, -5, -82, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/121, -4, 142\/27, 5, -18 in decreasing order.\nAnswer: 142\/27, 5, -2\/121, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124595\/48961 - -3\/4451. Sort 2, w, -1\/3 in decreasing order.\nAnswer: w, 2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 3446*u**2 + 6886*u + 3442.\nAnswer: 2*(u + 1)**2*(u + 1721)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -18379\/4 and -4596 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 6*b**2 - b + 10. Let l be n(3). Suppose 2*h - 5 = l*h. Let f = -0.1 + 0.1. Put f, h, -0.5 in ascending order.\nAnswer: h, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from ggmmmmgmmbmogb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 7*i**2 - 2*i - 10. Let f be x(-8). Suppose -2*u + 4 = -3*u, -2*s + f = -u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 o when four letters picked without replacement from {o: 7, i: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, -212.\nAnswer: -212, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(2)*3)**2 + sqrt(2) + ((sqrt(6)\/sqrt(3))**2 + sqrt(2))*-6 + 2.\nAnswer: -5*sqrt(2) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -339881 rounded to the nearest one thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**3*t**2 - 32*l**3*t + 4*l**3 - 22*l**2*t**3 - 2*l**2*t + 156*l - 2811*t**2 + 2 wrt t.\nAnswer: -20*l**3 - 132*l**2*t - 5622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -6188.\nAnswer: -1856.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/4 - 7791*p**2\/4 + 640869*p + 1289535 = 0.\nAnswer: -2, 389, 2210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.263 - -25.937. Let k = 26.199999438 - u. What is k rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2087 + 2498 = -5*c - 5*x, 0 = -x - 3. Let j = -586 - c. 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 = 30 + -26. Solve v - 25 = -u*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223223000 (base 4) to base 2\nAnswer: 101011101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.922 + 22. Let d = -0.104 - r. Round d to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1061 + 1062.967. Let w = y - 0.237. Let t = w + -1.7383. What is t rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116891557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(5\/(-10340)*3). Suppose -676 = -b - y - 2*y, 3*b - v = -y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 1. Let k be y(-1). Let r = -12 - -17. Suppose -3*i - 3*x + 3 = 0, -2*i + x - 4*x + 4 = 0. Put i, k, r in decreasing order.\nAnswer: r, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4233264937 from -1.\nAnswer: -4233264938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 414, -5, 1, 5, -119.\nAnswer: -119, -5, 1, 5, 71, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 431 + -240. Let f = l + -86. Suppose 18*b - 23*b + f = 0. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3001250*n**5 - 2991450*n**4 + 3011042*n**3 + 2991442*n**2 - 9792*n + 8 = 0. What is n?\nAnswer: -1, 2\/1225, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111010101010111 (base 2) to base 13\nAnswer: 10899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/882*14*(-765)\/(-60).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234 + -282 - (1 + -113)) + (0 - 10) + -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39958.7 and -5.7.\nAnswer: -227764.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1.39?\nAnswer: 0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110 - -3?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 2*m - 9. Let d = -24 - -18. Let v be b(d). What is the highest common divisor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpz when three letters picked without replacement from cvccpccvcczacaccjzv?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61889197?\nAnswer: 17, 37, 61, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (-2 - -14)) + 3 + -22.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/11 + 120862*v**2\/11 - 1825892448*v\/11 - 1826013312\/11 = 0.\nAnswer: -1, 30216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10776101, -21552165, -32328229, -43104293?\n\"Answer: -10776064*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010 and 3232?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6274, -6272, -6270?\nAnswer: -6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6767640 and 12870?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6.5 times 18\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - w**2. Let s be k(-2). Suppose -s*h + 23*h = 12. Calculate the remainder when 54 is divided by (-848)\/(-60) + h\/(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 213850*t**2 + 6*t - 4808623.\nAnswer: 427700*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215*u**4 + 196 wrt u.\nAnswer: 860*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {f: 2, w: 1, s: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 4, -4*h - 1781 = -t - 1779 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 1 + 9*q + 10*q - 7*q - 6*q**2 - 2*q to the form f*q + s + p*q**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 969634573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 4*b**2 - b + 2. Let c be v(4). Let u be ((-28)\/70)\/(c\/1280). What is the greatest common divisor of u and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 10152660.\nAnswer: -20305320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-56) - (-13)\/84)\/1.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 bigger than -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 0.1, -1\/3, 17 in decreasing order.\nAnswer: 17, 1\/8, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 36 + 37 - 9*f**2 + f as y*f + r + k*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16697 = -5*t + 4*a - 5*a, -4*a + 13364 = 4*t. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-5 - -3) - 1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 2*v - 2. Let b(j) = 5*j**3 + 267*j**2 + 17*j - 4. Let u(i) = -b(i) + 3*z(i). Find the second derivative of u(y) wrt y.\nAnswer: -30*y - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 5*c + 8, -12 = -d - 0*d - 5*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 24\/101 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -84. Let u = -5 + -9. Let d = u + f. Which is the biggest value? (a) 3 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 12:33 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78051, -312191, -702427, -1248759?\n\"Answer: -78048*v**2 + 4*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37159.1 and -6928?\nAnswer: 30231.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 1422?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 41. What are the prime factors of (8\/a)\/(3\/(-240))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 + 87 = 0. Let z = -50 - y. What is the tens digit of ((-5)\/(-10))\/((-3)\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/58*17\/(1377\/24)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475955 is divided by 237842?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -253374*y**3 + 0 + 262544*y**3 - 2 + y + (0*y**2 - y**2 - y**2)*(4*y - 2*y - 3*y).\nAnswer: 9172*y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12304223 (base 9) to base 7.\nAnswer: 102135540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (22\/33)\/((-2)\/(-33)). Suppose -8*j + a*j = -18. Let v be j\/21 - (-18)\/14. Let t(z) = -7*z**3 - z + 1. Determine t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -15, -19, -23?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3862971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, 3\/17, 4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28095 + -28045. Put n, 17, -4 in increasing order.\nAnswer: -4, 17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41400\/14000*((-2)\/(-3) - -1) and -113\/3560.\nAnswer: 24920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -14*(-3 + (-76)\/(-28)). Let o be 256\/6 - 72\/(-54). Calculate the greatest common divisor of s and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10242*z - 161 + 161 - z**2.\nAnswer: -z**2 + 10242*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-76 + (-66720)\/(-973))\/(6\/2*(-4)\/42)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 19*k - 85. Let x(n) = -251*n**2 - 4*n. What is h(x(y))?\nAnswer: -4769*y**2 - 76*y - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14635859*w**2 - 14635086*w wrt w?\nAnswer: -29271718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 172, 257, 372, 523?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*j = -4*j, 10 = 4*y - 3*j. Let p be y + -4 + (-6)\/18*3. Let o(t) = -t**2 + t + 2. Calculate o(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 63518 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2538 = -2*c, 0 = -51*c + 47*c - 12. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 + 3*i + 2. What is the remainder when 39 is divided by n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 16. Suppose p - 6*p + 185 = -u*r, 5*p - 183 = 3*r. What is the highest common factor of 48 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 12. Let y(v) = -2*v - 11. Give 4*b(c) - 3*y(c).\nAnswer: 2*c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.5. Let w = 0.3 - -2.7. What is the second smallest value in c, w, 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 67. Let f be b(-7). What is the units digit of -4*(-5)\/f*-3 + 311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/5)*a*a*((a\/a**(-9))\/a)\/a*(a\/a**(-6\/11))\/a**(1\/3)*(a**(-1\/4)\/(a**15\/a))**(42\/11) assuming a is positive.\nAnswer: a**(-13991\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-3870.5.\nAnswer: 7741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-22)*(-803)\/(-2190)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 740122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3600 or -3253?\nAnswer: -3253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/5 - 361012*v**2\/5 + 136022514*v\/5 - 27132300 = 0. Calculate v.\nAnswer: -180882, 1, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**3)**(-24)\/((u**(2\/3)\/u)**(-44)\/((u\/u**(2\/23)*u)\/u*u\/u**(-2\/13))) assuming u is positive.\nAnswer: u**(-140470\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2417965 and -198?\nAnswer: -478757070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28332 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181.336 - 94.247. Let y = -87.17 + -0.83. Let r = v + y. What is r rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - r**3 - 1 + r)*(2*r - 4*r - 3*r)*(3 - 3 + 2) as o*r**4 + j*r**3 + m + l*r**2 + x*r and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 42 = -110*c + 112*c, 3*c - 28 = 4*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*l - 6, x + 3*l = 1. Let i(v) = 39*v + 69. Let a be i(x). Sort -1, -2, a, 4 in ascending order.\nAnswer: a, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvvv when four letters picked without replacement from {z: 3, v: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + -6. Is x less than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -2, -85, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Sort f, -5, -1 in descending order.\nAnswer: -1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*q**3\/4 - 437*q**2\/2 + 1480*q - 200.\nAnswer: (q - 20)*(q - 10)*(29*q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 4, l: 1}. Give prob of picking 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2746*d + 2878*d - 396 = 0. Solve 0 = -o + 4*r - 6, d*o - 57*r - 4 = -56*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 79*q - 1. Is z(3) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*o - 9. Let h = o - -8. Suppose -5*t = 3*g + 30, 7*t + 4*g + 23 = 6*t. Sort t, h, -5 in increasing order.\nAnswer: -5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4 - 243*y**3 - 8435*y**2 - 16137*y - 7946 = 0.\nAnswer: -29, -1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from fjffjfrjfffojjff.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-63)*(-10)\/40\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2. Let v(p) = 2 + 3*p**2 - 20*p**2 + 9*p**2 + 10*p**2. Determine v(k(t)).\nAnswer: 8*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3))**10*(i\/(i\/i**3)*i)**(-14) assuming i is positive.\nAnswer: i**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d**2 - d. Give u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z**4 - 4*z**3 + 63*z**2. Let u(p) = -25*p**4 - 8*p**3 + 126*p**2. Let d(k) = -5*o(k) + 2*u(k). Find the third derivative of d(i) wrt i.\nAnswer: 240*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-2\/9))**(-25))**(-37))**(-47) assuming w is positive.\nAnswer: w**(-695600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - ((sqrt(162) - sqrt(162)*2) + -5)) - sqrt(162)) + 6*(sqrt(2) + 1)*-3)*5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*g - 190 = -308*g - 2*y, -3*g + y - 107 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1.61.\nAnswer: 0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6930 divided by 231?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 787466?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 + o**2 - 3*o + 3. Let t(a) = a**3 - a + 1. Let s(l) = -p(l) + t(l). Let d be s(1). Solve d*g = -2*z + 11 + 11, 5*z - 33 = -2*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 11 + 13. Let j be (-36)\/21*21\/d. Is (-14 + -7)\/((-2)\/j) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -2) + (-9 - (-27 - -21)). Solve 0 = -h + f - 3, -2*h - 2*f + 2 = -d*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkkhhkhkkhkkghkk. Give prob of sequence kkkh.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -4, 4*w - 2*n = 2. Suppose w + 25 = 5*l. Let t(p) = 10*p + 1. Is t(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 2*k - 4. Is o(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78 - 340365?\nAnswer: -340276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2925\/118 smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.9 - -26. Let q = f + 3.9. Which is the closest to 0? (a) 0.2 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 2*a + 2*a. Let j = 378 + a. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 7. Let d be (-8)\/(-10)*(-20)\/(-8). Let l be (0 - (-9)\/(-2))*d. What is the remainder when j(l) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 5 + 27 = 0. Suppose q*d = p - 281, 5*p + d = -0*d + 1438. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 91\/2. What is the nearest to 0.2 in d, -4\/3, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 6*o + 41)*(-81*o + 78*o + 45*o)*(-1 + 1 - 4).\nAnswer: -1008*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, o: 1, r: 3, y: 5, w: 1}. Give prob of sequence yo.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j**2 - 29*j + 29*j)*(3*j - 5*j + 4*j) - j**3 - 3*j**3 + 2*j**3 + j**2.\nAnswer: -30*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3953 - -0.7953. Which is the fourth biggest value? (a) -22 (b) 5 (c) p (d) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160650 and 1890.\nAnswer: 160650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.33. Let p = -0.91 + 1.94. Let o = p - x. Which is the nearest to -0.2? (a) -0.4 (b) -2\/17 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 1 (b) -0.1 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let n = i - 0.9999996. What is n rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -130838421 and -0.055.\nAnswer: -130838421.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 16*r**2. Let l(x) = -4*x**2 + 5. Let d(a) = a**2 + 1. Let m(h) = 7. Let b(n) = -6*d(n) + 2*m(n). Let g(q) = 5*b(q) - 8*l(q). What is w(g(y))?\nAnswer: 64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 1769*x**2 + 17591*x + 11. Calculate d(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -7*i**2\/2 + 4*i + 221. Let r(a) = -a. Calculate r(o(p)).\nAnswer: 7*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-24)*(1672\/57)\/(-22)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 400803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by (12 - -2)*(-32)\/(150\/(-10) - -8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200887?\nAnswer: 19, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 13. Suppose 0 = 24*z - 30*z - 30. Let u be p(z). Let k(h) = -h - 1. Let g(m) = m**2 - 3*m - 3. Calculate u*k(a) - g(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57794 is divided by 323?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from zzzznzzgzngz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 0*n**2 + n**2)*(n**2 + 3 - 3 + (3 - 3 + n)*(-n + 3*n + 5*n)) + 4*n**4 + n**4 - 6*n**4 to k*n**2 + t*n**3 + z*n**4 + h*n + s and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 - -297. Sort 0.01, q, 0.5, 3\/2 in increasing order.\nAnswer: 0.01, 0.5, 3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20154119?\nAnswer: 3529, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let s(c) = -12*c**2 - 5. What is s(y(t))?\nAnswer: -12*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(343))**2 - sqrt(343))*-5 + (sqrt(224) + (-1*sqrt(224) - sqrt(224)))\/((sqrt(18)*-2 - sqrt(18))\/sqrt(9)).\nAnswer: -1760 - 521*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 10751.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 149524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -1.94. Let l = 99 - 103. Which is the second biggest value? (a) l (b) 1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2212\/158*18\/28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 9:12 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let g(y) = -y + 3. Let l be g(x). Solve -l = -w - 5, 4*r - 4*w - 36 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 3. What is u(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 15*q + 37. Let t(x) = -x**2 + 18*x - 12. Let s be t(17). Let j be a(s). Let u = j - -37. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83111 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - (-31 + 9 + 5 - (-5 + -9))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f*u**3*z + f*u**3 - 2*f*u**2*z + 5*f*u + 8*f*z + 2*f + 10*u**3*z + u**3 - 3*u**2*z wrt u.\nAnswer: 48*f*z + 6*f + 60*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1630 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14207282.\nAnswer: 2, 2447, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*v - 3*v = -15, 4*y + v = -8. Let q be 837\/15 + y\/(-15). Suppose j = -3*j + q. Calculate the greatest common factor of j and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**3 + 23*z**2 - 7*z - 8. Let q be k(-6). Let x be 31 + (((-180)\/5)\/6)\/q. What is the highest common factor of x and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01365808196 to seven decimal places.\nAnswer: -0.0136581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3693\nAnswer: -4\/3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008780403 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.818 + 0.152. Let q = t - 1.47. Let j = -10 + 6. Which is the closest to 1? (a) 2 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22176 divided by 84?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2452*q**3 + 1233*q**3 + 1223*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 179 = -1655. Let j = v + -966. Suppose -2*g - 4*n = -10980, 5*g - n - 26995 = j. Round g to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 15. Suppose 5*h - d = 12. What is the remainder when 48 - (7 - h)\/(-4) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + sqrt(1573) + 0 + sqrt(1573))**2 - ((-2*sqrt(91) + sqrt(91))\/sqrt(7) + sqrt(13)).\nAnswer: 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggdgdggdgudgu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n**4\/3 - 4*n**3 + 8*n**2\/3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {g: 1, e: 1, r: 2, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -19. Let h = 7 - j. Put -4, -3, h in increasing order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773396.455 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*w + 4, 0 = -2*o - o - 2*w + 10. Suppose 8*h + 140 = o*h. Let a be (-90)\/h + (-4)\/14. What is the greatest common factor of 4 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3\/7, -65, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((57\/532)\/((-9)\/12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*q - 6 = 0, 10 - 2 = 4*z + 5*q. What is the remainder when 34 is divided by (z - 24)*3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s**2*t + 2618*s**2 + 913*t with respect to t.\nAnswer: 8*s**2 + 913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*i = -102*i - 3*u - 17, 0 = 2*i + 5*u + 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1363945, -2727894, -4091839, -5455780, -6819717, -8183650?\nAnswer: -9547579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (6\/2 + -1). Let p = 8 - g. Suppose 0*l = -p*l + 188. What is l rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 11*h + 48. Suppose -5*q = 1 + 69. Calculate the remainder when 19 is divided by b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8*0.038731.\nAnswer: -0.1471778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8350691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 + 1)*(5 - 3 - 1)*(-5 + 2 + 1).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1715365, 1715388, 1715411, 1715434?\n\"Answer: 23*x + 1715342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -566 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/202*36\/(-20). Let k be 12574\/2828 + (-85)\/34. Let z = k - c. What is the common denominator of z and -2\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*b**6 + 210*b**5 + b**3 + 929*b**2 + 13*b wrt b?\nAnswer: -3120*b**3 + 12600*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.6 + -3835.\nAnswer: -3864.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 312*f - 270*f - 462 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3526 - 3484. Calculate the lowest common multiple of 110 and x.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502207 is divided by 125549.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 - 105*p - 22. Let b be r(-16). Solve 0 = b*n - 138*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19 - 88*q**3 - 5*q**2 + 13*q**2 + 17*q**5 - 8*q**5 + 144*q**3 wrt q?\nAnswer: 540*q**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6762 and 16077?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414478782 to the nearest integer?\nAnswer: 20359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*d = -500 - 1896 + 302. Suppose 0 = 3*y - 0*y - 36. What is the greatest common factor of y and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 22917*x**2 - 91674*x + 24 = 0.\nAnswer: 2\/7639, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*t + 22, -5*t + t - 14 = -3*o. Suppose -34 = -3*b + g, -3*b + 2*b - g = -o. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52006062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 21 = 141. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 5 - d + 3 + 6*d**2 - d**3. Let x be r(5). Calculate the greatest common divisor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1044, 1077, 1198, 1461, 1920?\n\"Answer: 9*f**3 - 10*f**2 + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - 160. Let c be 0 + 8 + h + 52. Solve -c*j = 5 - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3 = v, -4*o + 1 = -4*v + 13. Let u(a) = -a + 31. What is the tens digit of u(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -212*x - 18. Let b(i) = -141*i - 11. What is 8*b(m) - 5*f(m)?\nAnswer: -68*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632780 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.4033 take away -532?\nAnswer: 1080.4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 - 2*t**4 + 0*t**4 + (0*t + t + 2*t)*(0*t**3 + 7*t - 3*t - t**3) to the form v + x*t**3 + q*t + c*t**4 + z*t**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 12454.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4835\/544 + 7\/544. What is the common denominator of g and ((-53)\/(-4))\/(2 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 47 = -11. What is the greatest common factor of 33 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314141?\nAnswer: 3, 438047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7093 times 0.01?\nAnswer: 70.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12)*-17)\/(((-936)\/(-24))\/(-78))\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5318468359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 24 + 14. Calculate the smallest common multiple of 5 and 1\/((-192)\/(-27) + w + -5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:55 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2\/4 - 4971*a\/4 - 27159\/2 = 0.\nAnswer: -1646, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 2, -0.07, 42, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(r - 2*r + 2*r) - 2*r - 2 + 2 + (-5*r + 6 - 6)*(-1 + 0 + 4) in the form m + z*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-266))\/(-2 - (-33)\/21). Let s = x - -71\/399. Let u(a) = 2*a - 13. Let t be u(7). What is the closest to s in t, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*g - 10 = 0, 3*g + 792 - 756 = 3*k. What is the greatest common divisor of 259 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2009866428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/9 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*g + 2*g - 4*t, 0 = -3*t + 12. Let j(o) = o**2 - o - 1. Let d be j(3). Sort g, d, -0.3.\nAnswer: -0.3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.3, 2\/27, -52, -2.4.\nAnswer: -52, -2.4, -0.11, 2\/27, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143 - 31*p - 143 + (1 + 1 - 1)*(-6*p + 3*p + p) to k + b*p and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -n. Let o = -4 - -6. What is the second smallest value in 4, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 4*l - 6. Let v(u) be the first derivative of 2*u**3\/3 - u**2 + 3*u - 30. Suppose -16 = 4*q + 100. Let g = q + 40. What is g*v(h) + 6*r(h)?\nAnswer: -2*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u. Let c(l) = -l + 2. Let k be c(u). What is the third derivative of 6*o**4 + 9*o**k + 5*o**2 - 8*o**2 wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 22 = 2. Let h(b) = 4*b - 7. Let z(s) = 4*s - 2*s - 4*s + 4. Give d*h(c) - 7*z(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -5 - 5) + (-1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7696, 16055, 25078, 34765, 45116?\nAnswer: 56131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let y(g) = g**3 - 2*g**2 - 2*g - 2. Let v be y(b). Suppose l - 10 = 3*t, -t - 6 = -4*l + v. Which is greater: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 + 6*f**2 + 48*f - 17. Give n(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*j**4*m**3 + 125*j**3*m**3 - 2*j*m**3 - 5*j*m**2 + 151*j*m - j wrt j?\nAnswer: 1260*j**2*m**3 + 750*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let a(z) = -6*z. Let s(h) = -a(h) + 4*c(h). Let l(u) = 4*u**2. Calculate l(s(x)).\nAnswer: 784*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34037\/4 + 8513. Let h(f) = -f**2 + 7*f - 7. Let w be h(5). Find q such that -7*q - o*q**4 - 14*q**w - 1 - 65\/4*q**2 = 0.\nAnswer: -2, -1, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1467.6577*0.4.\nAnswer: 587.06308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-23)*x)\/x)\/((x*x\/x**(3\/10)*x)\/x))\/(x**(2\/29)\/(x*x**9)) assuming x is positive.\nAnswer: x**(-4283\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 25 + 39. Suppose x + 2*c + 5 = 2*x, -y*x - 4*c + 18 = 0. Solve 3*k - 12 = -5*d, -2*k + x*k - 20 = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352940.\nAnswer: 2, 5, 7, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + 10*a + 1. Let j be c(7). Let g = -10 + j. Suppose -3*r + 6 + g = 0. Calculate the lowest common multiple of 8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 3. Let l = 13 - 21. Give o(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.08 in 1\/3, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 3*x - 12. What is the units digit of r(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21720, -43447, -65174, -86901?\nAnswer: -108628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 237*w - 648. Calculate q(-116).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**7\/35 - 7*w**5\/30 + 8*w**2. Find the third derivative of y(d) wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**2 + 229*x + 2810. What is d(-9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 12 + 10)*(-3 + 4 + 3) - 2 + 0 + 5 + (2 + 1 - 1)*(-2 + 2 - 2) + 3 - 4 - 1 - 1 + 2 + 1)*(1 + 4*n - 4*n - 2*n) to the form g*n + k and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6331*b + 177280. Give f(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 + 3412*m**2 + 384*m + 1869. Calculate u(-379).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.7599956 to two dps.\nAnswer: 26.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -2960*y + 2955*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0835.\nAnswer: -0.4175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/6*(-8)\/(-10). Differentiate 10*b + 3 - 1 + d with respect to b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -603*v**2 - 690*v**3 - 111*v - 879*v + 604*v**2 wrt v.\nAnswer: -4140*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/10)\/((-4)\/(-100)). Let y(a) = 74*a - 49. Let o(m) = 146*m - 98. Let h(i) = -2*o(i) + 5*y(i). Is h(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let p(n) = 4*n - 9. Let l(r) = p(r) + 5*v(r). Let i(h) = h + 3. What is -3*i(z) - 2*l(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(384) + (sqrt(384) - sqrt(384)*1))*4)\/(-3*sqrt(16) + (sqrt(4) - (sqrt(400)*-1 + sqrt(400)))).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9207 or 1.6605?\nAnswer: 1.6605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 5*l + 7. Let m be x(-5). Let n(c) = -c**3 - 7*c**2 + c - 2. Let q be n(-7). Let w be ((-18)\/4)\/q*0. Is w bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/216 and 35\/1161096.\nAnswer: 10449864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -303?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 2)\/(4\/10) - 0. Suppose 5*c = -25, -2*c - 2*c = l*w - 115. Calculate the remainder when 78 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 939.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d*m**2*x**3 - 2*d*x**3 + 3506*d*x**2 - 35*m**2*x**3 + 2*m**2 + x**3 with respect to m.\nAnswer: -8*d*m*x**3 - 70*m*x**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433855704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 - 8 = 0. What is the nearest to 3 in -2\/7, 0.08, y?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67139568 is divided by 67139568.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l - 26. Calculate the remainder when 42 is divided by l\/(-6) - (-124)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4\/(-18) + (107656\/72 - 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5208450?\nAnswer: 2, 3, 5, 13, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 1\/18*l**3 + 7\/144*l**4 - 1\/630*l**7 - 2*l**2 - 1\/2016*l**8 + 1\/45*l**5 + 1\/360*l**6 + 0. Factor z(f).\nAnswer: -(f - 2)*(f + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431363836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -509.9 + 510.4. Which is the second smallest value? (a) -3 (b) -1\/9 (c) x (d) 4\/3 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 15*b - 5*b**2 - b**2 + (3*b - 3 + 3)*(-3 + 2*b + 3).\nAnswer: 4*b**2 + 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(85)*2 + sqrt(85) - sqrt(85)))\/(sqrt(320)*1).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3 + 5*i**2\/2 + 2. Let t(o) = -13*o**2 - 21*o + 1. Let v(h) = 9*a(h) + 2*t(h). Factor v(p).\nAnswer: (p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 777*a**3*m*s + 343*a**3 - 259*a*s + 3*m**2 + 9*m*s wrt m.\nAnswer: 777*a**3*s + 6*m + 9*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((18\/(-28))\/(1653\/15428)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-2.29.\nAnswer: -0.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 10:04 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 93 + 58?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 - (2 + 3). Suppose 0 = 5*d - 0*d - 5*n - 46020, v = 5*n + 15. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:19 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -13\/5217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12 + 5\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 j when three letters picked without replacement from {z: 4, j: 2, x: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnnnnbnbnnnbnnbbbn?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 201552280*i + 403104576.\nAnswer: -4*(i - 2)*(i + 50388072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*((0 - (-1 + 3)) + 3). Let t(d) = -3*d - 3. What is the tens digit of t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-61)\/(-10) + 32 + -33)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637481 times 24.9?\nAnswer: 15873276.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**2 - 5 + 5023*p + 22*p**2 - 5021*p + 5.\nAnswer: -7*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 10*h**2 + 2*h - 6. Let t be d(10). Suppose 4*x = 2*k + 14, -4*x - t = 2*k - 32. Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h - 1938*h**2 - 3007*h**2 + 2*h**3 - 964*h**2 - 3384 + 2*h + 693*h**2 wrt h?\nAnswer: 6*h**2 - 10432*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3\/5 - 3343932*j**2\/5 + 139724346492*j + 20553933280860 = 0.\nAnswer: -147, 418065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygd when three letters picked without replacement from dgkdykdgdg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**6\/10 + 3*y**5\/5 + y**4\/2 - 2*y**3 - 9*y**2\/2 - 20*y + 14. Let x(a) be the first derivative of i(a). Factor x(w).\nAnswer: 3*(w - 1)*(w + 1)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2718230 and -0.3?\nAnswer: -815469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i - i + 3 - 1 + 7. Let g be j(6). Solve -2*y + 4 = -g*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 + 90 = -75*q + 94*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1050.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 306790380 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Suppose -3*i + i + m = 0. Suppose 0 = -2*w + i*r + 20, 5 - 15 = 2*w + 4*r. Solve -2*k + 0*q - 4 = 2*q, 0 = w*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 4*f - f)*(-11*f + 54*f + 0*f)*(2*f**2 + 0*f + 0*f) to the form z + q*f + j*f**4 + y*f**2 + g*f**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 + 905*s**4 - 46420*s**3 + 495760*s**2 - 1579200*s + 1128960 = 0 for s.\nAnswer: 1, 4, 8, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 18*y + 2. Let z be v(-18). Solve -12 = x + z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 177, 46, -83, -210, -335, -458?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 401.67.\nAnswer: 803.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10424*z - 2*z**2 + 10424*z - 213 to y + k*z + q*z**2 and give y.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12239393*v**6 - 2*v**2 - 206*v + 2373.\nAnswer: 1468727160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 14*n + 23. Let k be m(16). Is k greater than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 171503?\nAnswer: -171505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 3081.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 9. Let w be o(-4). Let v be 0\/1 + w\/6. What is the third smallest value in v, -2\/7, -4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.4, -1, 57, 2 in decreasing order.\nAnswer: 57, 7, 2, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57826 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2479.0001087 - 2479. Round m to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6138 + -3305. Suppose 858 = -5*a + v. List the prime factors of a.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, -4, -2, 0 in decreasing order.\nAnswer: 17, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 3*p + 9114 = 0. Let q = p - -439. Are 2 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -3, -4, -5, -6, -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 - 2. Let a be y(0). Let m be (a\/1)\/2*-500980. Suppose -2*b = -m - 439020. Round b to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2213 + -4?\nAnswer: -2217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375431.\nAnswer: 7, 53633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7)**(-24)\/(k*k\/k**(-4\/5)*k*k*k**(-11)) assuming k is positive.\nAnswer: k**(-809\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -36a31?\nAnswer: -36a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdxxxxxxxxxxx. What is prob of sequence xxd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7148 is divided by 115?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*a**2 + 1104*a**2 - 552*a**2.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272 divided by -12?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3) + 4 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 50*q - 13. What is the remainder when w(6) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179719*-4.\nAnswer: 718876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = 5*k + 18, -22 = -4*s + 2*k. What is the remainder when 39 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 332595380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16957*m = -16954*m - 4*f - 44, -2*m - 33 = 3*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b + 3*k - 18 = 0, 0 = 2*b - 3*k - 2. Suppose 8*o = 4*o - f + 16, -8 = -b*o + f. Solve -o - 1 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-35))\/(2\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2728\/5 + -546. Let c be 0 - (4 - 1)*3. Let i be (-1)\/(-3)*c\/12. Sort -1, d, i in ascending order.\nAnswer: -1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1. Let y(n) = n**3 - 3*n**2 - n + 4. Let x be y(3). Let f(i) = 2*i**2 - 2*i - 5. Give x*f(h) - 5*m(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v + 13. Suppose -3*q = 2*n, v*n - 3*n = -q. Suppose -p - 3 = -j, q = -2*j + 4*j. Which is the third smallest value? (a) 2 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 33*z - 10 = 0. Suppose z*h = 1489 + 1046. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392584 and 2292184?\nAnswer: 71057704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*s + 47*s - 28*s - 3*s**3 + 94*s.\nAnswer: -3*s**3 + 308*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 88.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h**(-5\/9)))*h))**(17\/5) assuming h is positive.\nAnswer: h**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 10 = 4*c + 4*p, 3*p + 40 = 4*c. Let q = -1790 - -992. Let k be 5\/25 + q\/(-10). Calculate the greatest common factor of k and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 574.6 + -576. What is the smallest value in i, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1368*o + 8213. What is the lowest common multiple of (-1)\/(0 - 1) + 43 and v(6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-12))\/(2\/9). Let h be 175\/60 - (-2)\/1. Let n = s - h. Which is the second smallest value? (a) -0.2 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.099482 micrograms to milligrams.\nAnswer: 0.009099482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001001110101100 + 100?\nAnswer: -111001001110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.156*-173\nAnswer: 26.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Let w(l) = 61*l. Let k(o) = 59*o. Let m(b) = 4*k(b) - 3*w(b). Give m(n(d)).\nAnswer: 106*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - 7.06. Let g = k + 5. Let n be (1\/2)\/(12\/(-24)). Which is the closest to -1? (a) g (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3 + 39) - (494\/(-300))\/13?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1890 + 730 - 1796)*(4*x - 2*x - x).\nAnswer: -2956*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 12*q - 16*q**2 + q - 4*q - 6*q as k + g*q + z*q**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/270*20*3*(-2526)\/(-23155)\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 + 31*m + 12461. Let i be n(0). Calculate the greatest common divisor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -6*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2cb (base 13) to base 10\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3017 divide 172389326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -37 + (0 - 4) - 0. Let o = -78 - n. Round o to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -4. Let j = 8 - 5. Suppose c = j*c. Is c <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24808151 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 11:08 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.72 and 6744179.\nAnswer: 6744182.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1937 and 9410542?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -b + 2, -31 = 3*z - 5*b - 38 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:32 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 62281 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2158769 is divided by 1078951.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 86 (b) 0.3 (c) 1\/5 (d) -833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -s - 5*z, -5*s = 2*z - 53. Suppose -2*k + 27 = s. Calculate the highest common factor of k and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/143)\/(-3)*-1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -27402295 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(0 - 2 + 3)*((-2*k + 2*k + k + (14*k + 5*k - 4*k)*(2 + 3 - 3))*(-13 + 9 - 6) + (2*k + 3*k - 4*k)*(2 - 2 + 1)).\nAnswer: -309*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12444, 12501, 12558?\n\"Answer: 57*c + 12387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3293.69\nAnswer: 6587.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**3 - 12126*d**2 - 5012280*d = 0.\nAnswer: -378, 0, 4420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 7a43?\nAnswer: -7a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 481 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*54\/72.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.7402 and -117?\nAnswer: -5468.6034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - 2*a + (-3 + 3 - 2)*(-a - 2*a - 3*a).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 3. Let a = 148 + -151. Let b(o) = 2*o - 3. Give a*b(h) + 4*z(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*20*(-8)\/20. Suppose 2*g - g = o. Solve t - 5*t = -g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7936667.55 milliseconds?\nAnswer: 0.013122796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 1. Let r(j) = -2*j - 3. What is -3*f(v) - r(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.1. Let s(v) = v - 5. Let p be s(6). Which is the nearest to -0.1? (a) p (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59573, -119118, -178663, -238208, -297753?\nAnswer: -357298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.2. Suppose 3*g = -2*g - 20. Let n(z) = z + 4. Let u be n(g). Which is the nearest to u? (a) 8 (b) o (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*k - q, -2*k + 5*q = -2 - 9. Let h = -0.542 + 0.842. Which is the closest to k? (a) h (b) -4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 13, 31, 49, 67?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhtt when four letters picked without replacement from {h: 6, d: 4, t: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90936522 to the nearest integer?\nAnswer: 9536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:57 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -1 - -6) + 0. Let p(c) = c**3 - 8*c**2 - c + 4. Let g be p(n). Let m(f) = -f**3 - 4*f**2 - 2*f + 3. Does 8 divide m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300112 (base 7) to base 14\nAnswer: 14579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13567.\nAnswer: 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/33 + 3\/(-9). Let w = 263 + -220.6. Let i = -42 + w. What is the nearest to -0.1 in i, s, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 74\/(-37).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*d = 6, 2*u - 5*d = -0*d - 12. Let o(g) = 208*g**2 - g - 15. Let c be o(u). Let q = c + -17479. Round q to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00131270299 rounded to seven dps?\nAnswer: -0.0013127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 7. Let m be d(0). Let y be -2 - 0 - m - 0. What is the units digit of (y\/3)\/(-3) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/2, -2\/5, -2\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -34*u**2 + 5099*u - 247. What is m(150)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z. Let w = 2 - z. Suppose 0 = -r - w*r + 102. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x + 18*x - 43*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let j(v) = 3*v**2 - 8 + v**2 - 1 - 8*v - v. Let y(r) = 18*c(r) - 2*j(r). Let a(f) = -3*f**2. Give a(y(x)).\nAnswer: -192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 389 = -2*d - 47, 3*g + 191 = d. Suppose 5*t = 19 + d. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 19. Suppose 4 = -w, 0 = -6*b + 2*b + h*w + 40. Suppose 2*j = 5*d + 28, 0*d - 41 = -b*j - 2*d. Calculate the remainder when 35 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f**2 - 10. What is the thousands digit of p(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 111.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -19, -11?\n\"Answer: 8*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 27*f**2 + 37*f + 92. What is y(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssksssksssssshsss. What is prob of sequence ksh?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5688 - 5791 - 51*q - 3*q**2 + 4*q**2. Let b be n(-2). Find y such that -4\/7*y**2 + 6\/7*y + 0 - 2\/7*y**b = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Suppose j + t = -3*l + 4*l, 3*l - 11 = -j. What is the biggest value in -0.1, j, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 4552*q + 167200.\nAnswer: 4*(q - 1100)*(q - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n - 4. Let r be y(4). Let h = r + 6. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9 + 34\/3. Let n = z - 7. Let g = 10 - 2. Calculate the greatest common divisor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btjttttaba. Give prob of picking 2 b and 2 a.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -14274?\nAnswer: -14300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 6*w**2 - 6*w - 5. Let z be c(-7). Let a = -12 - z. Is 317*((a - -1) + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20313 and 93?\nAnswer: 629703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.17 - -0.17. Let k = 202 + -221.7. Let n = c - k. What is n rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 35 = 4*i + 95, i - 7 = 4*v for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 85*w**2 - 40*w + 18. Let z be b(43). Calculate the greatest common factor of 252 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + -12314?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223714 divided by -71.\nAnswer: -223714\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0443 and 5\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.248496mm?\nAnswer: 0.000248496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r + 4*q - 93 = 0, 3*q = -2*r + 33. Let z be -1 - (-11 + (-3)\/3). Let c = z - 8. Calculate the greatest common divisor of r and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 29, 77, 165, 305?\n\"Answer: 2*j**3 + 2*j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u. Let f(s) = -4*s**2 - 15*s + 22. Let i(y) = f(y) + 5*x(y). Let a be i(4). Is a smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*s*u + 3*j**2*u + 183*j**2 - 1080*j*s*u + 25*s*u - u + 7 wrt s.\nAnswer: -3*j**2*u - 1080*j*u + 25*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*r + 493 - 493 to g + v*r and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 358*g + 15798. Let z be s(-44). Let j be 48 + (-3)\/((-3)\/(-2)). What is the greatest common factor of j and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-308)\/4158)\/((-8)\/126).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o**2 + 11*o + 11. Let v(q) = 3 + 14*q**2 - 5*q - 2 - 6 - 8*q**2 + 0*q**2. What is 3*b(z) + 7*v(z)?\nAnswer: 3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 136*q**2 + 233*q - 1653. What is v(-66)?\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnutuuunutuutt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.253 + 2.753. Which is the second biggest value? (a) m (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (102\/(-14) - 4\/(-14))*-6. Let j = 47 - d. What is the third derivative of 17*o**5 + 15*o**5 - 3*o**2 - 34*o**j wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 8. Let k be s(-4). Let z(d) = -2*d + 1. Calculate z(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 26. Let u = x + -7. Suppose 0 = 5*w - 4*j - 60, -2*w + u*j - 5*j + 6 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 + 2*w - 2. Let a be -8*2*(-2)\/16. Let p(h) = 9*h**2 - 5*h + 5. Let d(g) = a*p(g) + 5*y(g). Let v(i) = -i. Determine d(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000891 rounded to five dps?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 0*r + 123 + 0*r**3 + 43\/2*r**4 - 11\/2*r**2. What is the second derivative of q(c) wrt c?\nAnswer: 516*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/24 > 3.494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 + 4*p + 2. Is 25 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1367002468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 a when three letters picked without replacement from {y: 2, a: 2, l: 2, d: 1, x: 1, v: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2644275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w**2 + 4*w - 3. Let g be i(2). Let c = 3 - g. Let d(x) = x**3 + 5*x**2 + x - 1. What are the prime factors of d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/7 + 23\/(-161). Suppose -5*h + 604 + 8 = 3*a, h - 100 = w*a. Suppose -h = -4*r + 396. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9878368l in millilitres?\nAnswer: 987.8368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(75) + 0 + -4)**2*-2.\nAnswer: -184 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2506569 or 2506571?\nAnswer: 2506569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**2 - 3 + 3)*(45*q - 58*q + 36*q) + 3*q - 3*q - 2*q**3 + (5 - 3 - 3)*(1 - 1 + 2*q**3) as u*q**2 + o*q**3 + v + c*q and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2. Let h(q) = 37*q. Let s(o) = 297*o. Let f(n) = 33*h(n) - 4*s(n). What is f(u(m))?\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -52. Is (r\/3)\/((-4)\/(-180)*3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70354509 divided by 1497\nAnswer: -46997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331444 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 7}. Give prob of picking 2 o.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 6. Let m be ((-240)\/114 - -2) + (-405)\/(-57). Suppose -7 = -m*r + 49. Calculate b(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5887 divided by -7.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 19*z**2 + 12*z - 59. Suppose -2*v + 60 = 3*s - 6*s, -3*s = 5*v + 39. What is the remainder when 82 is divided by r(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 3*o + 2. Determine k(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559963 divided by 1?\nAnswer: 559963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 344*y**2\/7 - 1018*y\/7 - 676\/7.\nAnswer: -2*(y + 1)*(y + 2)*(y + 169)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3321 = -39*j - 0*j + 162*j for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -46*l + 224 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3 - 17295*m**2 - 347400*m - 1739500 = 0.\nAnswer: -10, 3479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296260139 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/11, -7, -1.8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 177*k**2 + k - 263. Let y(r) = -59*r**2 + 87. Let l(v) = 2*d(v) + 7*y(v). What is the second derivative of l(s) wrt s?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.28, -1\/56 in ascending order.\nAnswer: -0.28, -0.2, -1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 2505524*w.\nAnswer: -2*w*(w + 1252762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3298370 divided by -1930\nAnswer: -1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 202583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-10))\/(((-13880)\/24290)\/((-80)\/(-21))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f**2 - 6332*f - 496. Determine m(-487).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*u)*(-2*u**2 + 2*u**2 - 2*u**3) - 4*u**4 + 0*u**4 + 3*u**4)*(-2*u + 0 + 0).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 274, 419, 548, 655, 734, 779?\n\"Answer: -r**3 + r**2 + 159*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, 0.16136, -5, 36?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64449, 257747, 579911, 1030941, 1610837, 2319599?\n\"Answer: 64433*u**2 - u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-30) - 66\/414)\/((-8)\/(-3))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 5*j + 2. Let v be s(-5). Suppose -m - v + 1 = 0, -k - 3*m = 3. Suppose k*y + 45 = 5*y. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 7*x)*(-3 + 3 - 3*x**4) - 3*x**5 - 2*x**5 + 3*x**5.\nAnswer: -17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22977 - -37006. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 421536936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -26*j**3 - 9*j**2 + 11*j - 28. What is a(3)?\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -0.03. Let x = 4.95 - m. Let n = x - 5.2. Sort -2, 0.2, n in descending order.\nAnswer: 0.2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d + 0*d + 40*d**2 - 39*d**2 + 1. Let a be q(1). Let p be 0\/(2\/(-1)) + 3. Solve p*v - 9 = a*y, 3*y + 2 - 11 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891, -2376, -3857, -5334, -6807, -8276, -9741?\nAnswer: -11202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 25221?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 6.3. Let x = 19.1 + -21. Let r = 1.1 - x. Which is the second biggest value? (a) -2\/7 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293327?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 169\/37286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -335 + -a5?\nAnswer: -3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -64*j**2 - 28. Let b(w) be the first derivative of -7*w**3\/3 - 3*w - 13. Determine 28*b(k) - 3*t(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -33*g**3 + g**2 + g + 1. Let v(q) = 67*q**3 - 3*q**2 - 3*q - 2. Let x(m) = 7*l(m) + 3*v(m). What are the prime factors of x(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3650109 divided by -1\nAnswer: 3650109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 0.162?\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48952308, -97904615, -146856922?\n\"Answer: -48952307*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*h + 25 = -3*r - 318*h, 15 = -24*r + 3*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 110527.\nAnswer: 331581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2. Let s(x) = -23*x + 4. Let y(w) = -69*w + 11. Let g(a) = -11*s(a) + 4*y(a). Calculate b(g(z)).\nAnswer: 529*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2256 + -22?\nAnswer: -2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 + 25*k**2 - k + 3. Suppose -7*x - 12 = 58. Is p(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-2*4)\/((sqrt(66)*-2)\/sqrt(6)))**2*-4*6.\nAnswer: -3822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m + 18*m - m)*(-2*m**2 - 4 + 4) to the form r*m**3 + c*m**2 + u + x*m and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*s - 160 = 128*s. Suppose 2*j - 28 + 0 = 0. What is the remainder when j is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3)*b)\/b)\/(b**(10\/3)\/b))**(4\/5)*b**(-9)\/b*b\/b**(-8)*b*(b\/b**(-1\/2))\/((b**(-1\/5)\/b)\/b) assuming b is positive.\nAnswer: b**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 29\/20*w**5 + 1\/15*w**6 + 0*w**3 - 83\/12*w**4 + 0 + 0*w**2 - w. Find the third derivative of r(p) wrt p.\nAnswer: 48*p + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + 2. Let p = -50 + s. Calculate the smallest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*6\/6 + 2490\/2. What is the second derivative of 27*u + d*u**4 - 1246*u**4 - 36*u**5 wrt u?\nAnswer: -720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 647 + 58. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 14*r**2 - 15*r + 8. Let x be l(-10). Round x to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797771\/4 at least as big as 199443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 14*z**2 + 14*z - 18. Let x be i(-15). Let q be (-5)\/((-10)\/x) + 1. Which is the nearest to q? (a) 5 (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 = 5*r, 2*v + r = -3 + 14. Solve 2*n + c + 4 = -v, -3*c = -3*n - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4518 and 4224.\nAnswer: 3180672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1895\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-2400)*30*2*-12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3*d - 12, -3*l - 2*l = -4*d - 35 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 1 + 29. Let x(d) = -3*d - 3. Calculate x(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 3*d**5\/20 + 2*d**4\/3 - 7*d**3\/6 - d**2\/2 + d + 11. Let f be k(1). Solve 2*t = f*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 84*q**2 - 159*q + 36. Let o be b(-40). Let f(y) = 14*y + 26. What is f(o)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:21 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 + 0.5. Let l = 4.87 - u. Round l to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47120232 + 42122701 = 261*x - 91197590. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, a: 3, p: 4, k: 3, b: 3}. What is prob of sequence pbbb?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/17*a**2 + 16\/17 - 18\/17*a = 0. Calculate a.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 0*g**3 + 0*g**3 + (-5*g**3 - 2*g**3 - g**3)*(2*g**2 - 6*g**2 + 3*g**2) + 5*g**5 - 4*g**5 + g**5.\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/56 and 115\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxexzzxzxxxe. What is prob of sequence xzz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-35))\/((-1320)\/297*6\/25)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/224784 and 89\/435519.\nAnswer: 6968304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -24. Let o be 60\/x + 2\/4. Solve 4*k - 2*y = o, -3*k + 5*y = k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Find the common denominator of k\/(-10) + 522\/(-220) and -75\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*c**4 + 26*c**2*p + 6*c*p + 298*p wrt c.\nAnswer: 1500*c**2 + 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -j + 511. Let s be (-29664)\/(-69) + (1 - -1). Let h = j - s. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 6. Suppose 4 = -4*o + 3*d, -4*d + 8 = -b*d. Suppose 20 = 5*m + 5*p, 0 = 2*m + o*m - 2*p - 22. Put 3, -3, m in decreasing order.\nAnswer: m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 527, 1171, 2061, 3191, 4555, 6147, 7961?\nAnswer: 9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 5, n: 3}. What is prob of sequence vvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let c(z) = -12*z + 0 + 7*z + 0. Let m(g) = g. Let l(n) = 2*c(n) + 11*m(n). Give l(k(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 79*z - 45. Suppose 4*a = -4*o - 56, -5*a - 73 = 3*o + 1. Let g = a + 30. Is w(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:52 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Let s = w + 15. Let l = 17.45 - s. Round l to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 3*m**2 - 12 - 9*m**2 + 21 - 24.\nAnswer: -12*m**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -811765 greater than -811763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -34057.\nAnswer: 2\/34057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 567.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/9))**(-26)*k**(1\/3)\/(k\/k**(8\/7)))**(-15))**(-15\/7) assuming k is positive.\nAnswer: k**(-8350\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**2 + 379*w - 1749. Determine s(-52).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 51*w + 2671. Let j(s) = -14*s - 890. Let a(d) = -8*j(d) - 3*v(d). Differentiate a(h) wrt h.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8 (base 14) in base 12?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(76) - (1 + (-2*sqrt(76) - sqrt(76)))**2)*2.\nAnswer: -1378 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 10:56 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 772, 1511, 2240, 2953, 3644, 4307, 4936?\n\"Answer: -q**3 + q**2 + 743*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + 9289\/21 + -3. Suppose 4*f - 4*q - 1532 = 0, t = f - 2*q + 58. List the prime factors of f.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 + -2)*10\/(-25). What is the closest to -4\/17 in 2\/9, g, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000764409 rounded to 5 decimal places?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2985 + -2989. What is the third biggest value in 1, -2\/83, -1\/6, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-3\/16) assuming s is positive.\nAnswer: s**(3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8684 - 2362343063.\nAnswer: -2362351747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 7.33. Let w = x - -0.27. Let f = 5 - 7. Which is the closest to 0.2? (a) -3 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -28006.\nAnswer: 616132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:26 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 131270 - 131179 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsttsrtz. What is prob of picking 1 s and 1 t?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125113, 250187, 375311, 500509, 625805, 751223, 876787?\nAnswer: 1002521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5875572 kilometers in centimeters?\nAnswer: 58755.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-5)*v))\/(v*v**3)*(v*v**(1\/4)*v)**(-1\/4))**(-26) assuming v is positive.\nAnswer: v**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/11 (b) -1\/8 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by ((-16)\/(-7) + 42\/196)*26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172 + 171. Put 1, 0.2, g, 5 in decreasing order.\nAnswer: 5, 1, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**4 + 680*z**2 - 676 = 0.\nAnswer: -13, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 37, 76, 129, 196, 277?\n\"Answer: 7*z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v**3 - 104*v**3 + 49*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 + (-51)\/(-7). Suppose h*f = 2*f. Let l = -2753\/17 - -162. Is f != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 417*p - 1648. What is s(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218878358.\nAnswer: 2, 109439179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -83. Is n\/((-35)\/(-15)) - -2392 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 741 = -39*x. Calculate the remainder when x is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*p - 10, 4*f - 23 = -0*p - 3*p. Suppose 0 = -o + f*l + 30, 2*l + 1 = -7. Calculate the remainder when o is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**3\/2 - 2*q. Let f(r) = 3*r - 5*r + 2*r + r. Give f(t(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1841*u + 1836*u = -70. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Find the second derivative of -7*g**5 + 10*g**5 - 3*g + g**w wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:42 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1051 + -1048. Factor 0*y**4 + 0 + 1\/7*y**5 + 1\/7*y - 2\/7*y**r + 0*y**2.\nAnswer: y*(y - 1)**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2079 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: List the prime factors of 1485136.\nAnswer: 2, 92821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, -6886, 4 in decreasing order.\nAnswer: 5, 4, 3, -5, -6886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 7\/20*a**4 + 0*a - 30 + 2\/5*a**2 - 9\/25*a**5 + 4\/3*a**3. Factor m(u).\nAnswer: -u*(u - 2)*(u + 1)*(9*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 1\/17, -1, -0.2, -2\/7, 1381?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14462650 (base 8) to base 15.\nAnswer: 453934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 17*j + 31*j + 13 - 10*j - 20*j.\nAnswer: -3*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/5))**(-36)*((g**(2\/5)\/g*g*g)\/g)**(9\/11))**(-47) assuming g is positive.\nAnswer: g**(222498\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-324)\/(-5)*27\/18)\/((-2)\/(-65))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230400000 rounded to the nearest 1000000?\nAnswer: -230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 416*i - 423*i + 5733. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9886873 - 3086873. What is x rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 1. Let g(l) = -6*l - 8. Let b(y) = -y - 1. Let h(v) = -5*b(v) + g(v). Let k be h(-3). Determine u(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 12*z + 21. Let t be g(10). Suppose t = m - 0. What is the units digit of (-3)\/(-1) + (-1 - m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2293080, 4586162, 6879232, 9172284, 11465312, 13758310, 16051272?\nAnswer: 18344192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.428, 0.4, -1, 2, 3, 6, 2\/27?\nAnswer: 3.428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12958869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*u**3*w**2 + 2*u**3 - u**2*w**2 - u - 8*w**2 - 2*w wrt u?\nAnswer: 78*u*w**2 + 12*u - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 - 169. Let t = 359 + q. What is the second smallest value in -0.5, 2\/21, t, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/154 (b) -3\/4 (c) 881 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533043?\nAnswer: 3, 7, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7555933020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -180 (base 9) to base 5\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -15 - (-21 - -31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 21*g - 36*g + 5*g + 15*g.\nAnswer: -3*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584, -2047, -4492, -7925, -12352?\nAnswer: -17779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s - 50. Let m(f) = -5*f**2. Calculate m(w(o)).\nAnswer: -605*o**2 + 5500*o - 12500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 12) in base 14?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-22))\/((-92)\/(-506)))\/(1\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97627 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/9 (b) -3 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o*o)**(2\/11) assuming o is positive.\nAnswer: o**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/9, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9378498 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 11?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 26*n + 11. Determine p(26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -9730, -1?\nAnswer: -9730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -7*f + 3*f. Suppose -386 - 471 - 2599 = -9*c. Calculate the greatest common divisor of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 10:06 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 21 - -22) + 17\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 3, 0.3, 2951, 0.1, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -19\/423811?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-740)\/12)\/1 + (-2)\/(-3). Let r = o - -63. Suppose -r = -i, 9*i = -s + 4*i + 12. Are s and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1359.65 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 14931021 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: Calculate (34\/16)\/((-4)\/(-16)) - 8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.31 - 0.31. What is the third biggest value in a, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + (-20)\/(-3))\/(2\/39489) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/17, 1, -1\/4, -2992?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7.4. Suppose 15 - 5 = -5*f, -5*s + 27 = -f. Sort h, s, -1, 1 in decreasing order.\nAnswer: s, 1, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*p = 5, -4*g + 4*p - 22 + 18 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.77 - -0.27. Let l = g - -45.5. Let u = 41.99999963 - l. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3\/15380362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 369 + -362. Solve a - b = b - n, 5*a + 17 = b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6058 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665679887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b - 5. Let c be (1 - 0 - (-8 - -10))*-14. Suppose c = -2*q - 2*i, -4*q + 2*i - 13 = i. Determine s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4893*y**3 - 14*y**2 + 14*y - 19. Let s(d) = 1631*d**3 + 4*d**2 - 4*d + 6. What is -2*j(b) - 7*s(b)?\nAnswer: -1631*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l - 1270 = 4*n + 49*l, l - 954 = 3*n. Is n greater than -323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**7\/21 + y**6\/15 + y**5\/10 - y**4\/6 + 9*y. Factor u(w).\nAnswer: -2*w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 25. Let h be s(7). Let i be (306\/40 - 9) + (-3)\/h. What is the fourth biggest value in i, 3\/4, 4, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from dxhduvuuhuhv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -19. Suppose -5*p = -4*q - 73, 24 - m = 2*p + 3*q. Is p > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641577 rounded to the nearest 1000?\nAnswer: -642000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/207 and 107\/140514?\nAnswer: 9695466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 44*c**2 - 140*c + 38949. What is b(-58)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017630118 rounded to five dps?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 plus -70563209?\nAnswer: -70563807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(2083 + -6) + -11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7)\/(84\/(-196)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155, 1313, 4453, 10565, 20639, 35665?\n\"Answer: 165*g**3 + g**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o - 439 = -4*i, i = 3*o + 121. Is i a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4758765 is divided by 439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 783 and 702072252.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4505.054 + -4507.054. Let q be ((-6)\/(-4))\/(1\/40). Suppose -2*z - q = 2*z. Which is the nearest to z? (a) 3 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**4 + 4472*y**3 - 8929*y**2 - 4472*y + 8932 = 0?\nAnswer: -1, 1, 2, 4466\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -276. Suppose -80 - b = -3*o. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5433 - -1205215?\nAnswer: 1155342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431432 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/80 and -31\/4456.\nAnswer: 44560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let i(r) = r - 1. Let z(u) be the third derivative of u**5\/30 + 5*u**4\/24 - 5*u**3\/6 - 11*u**2. Let v(o) = -5*i(o) + z(o). Calculate v(m(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*r**4 - 20*g*r**3 + 11*g*r**2 - 156*g - 35*r**4 - 6*r**3 - 2021*r**2 - 2 wrt r.\nAnswer: 72*g*r - 120*g - 840*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**5\/10 + 11*v**4\/4 - 4*v**3\/3 + 12*v**2 + 47*v. List the prime factors of l(11).\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -4 (b) -0.5 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -13*d**2. Let w(i) = -2*i**2 + 0*i**2 + 4*i**2 - 3*i**2. Determine w(s(b)).\nAnswer: -169*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 19311941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2649 = f + 14798, 3*v = -5*f + 52357. What are the prime factors of v?\nAnswer: 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117141095 - 1?\nAnswer: 117141094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 a, 1 p, and 1 i when four letters picked without replacement from {i: 2, r: 1, g: 8, p: 1, s: 1, a: 1}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let g(u) = -419*u + 5865. Let r be g(14). Let y(x) = 3*x. Let o(q) = q. Determine m*o(p) + r*y(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 641 and 0.5318.\nAnswer: 340.8838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/6*(-7)\/(42\/16). Suppose -2*u = 2*j - 270, -f*u + 0*u - 2*j = -550. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 3431808519.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Let m = -26 - -27. Let r(s) = -2*s**3 - s**2 - 2*s - 1. Let i be r(-1). What is the second smallest value in i, z, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2978 - 32.0022. Is -1\/3 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1146632, 1146618, 1146604, 1146590, 1146576?\n\"Answer: -14*i + 1146646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*r + 5*b + 3, 2*r = 2*b + 8. Suppose r = -p - 1 + 6. Suppose -p*y + 113 = -72. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259829742.\nAnswer: 2, 3, 461, 93937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 456 or 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 2*q**2 - 2*q)*(18*q + 72*q - 30*q) + 3*q**3 - 2*q**3 - 2*q**3 + (2*q + 1 - 1)*(q**2 + 3*q**2 - 2*q**2) to j*q**3 + v*q + r*q**2 + o and give j.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7*f - 2*f + 2570 = 0, 2*m - 5161 = 3*f. Suppose -m = -13*t - 479. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vttt when four letters picked without replacement from tvvvvvvtvvvvvtvvtv?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o + 15 = 41*o, 0 = -3*v + o + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 - 3 - 3*j**2 - 5*j**2 + 0*j**2 as m*j + v + a*j**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -2\/5, -90, -5 in descending order.\nAnswer: 0.06, -2\/5, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = 6. Calculate the highest common divisor of 33 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -176.1 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3420\/(-760)*(-12)\/(-513).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270456 is divided by 135218.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -d + 374 - 389, d + 3*f + 21 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43576.5 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767266 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(50) + sqrt(300)\/sqrt(6) + -4.\nAnswer: -8 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e570 (base 16) to base 10.\nAnswer: 124272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*q - 3*q - 232, -2*s = -3*q - 227. Suppose -3*k + 26 = i - 11, -4*i + 3*k + 193 = 0. What is the greatest common divisor of s and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-9)*12\/(-1). Suppose i + z = 11. Let x(l) = -l**3 + 8*l**2 - 6*l. List the prime factors of x(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.156, 152, 118\/11?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 32 = 14*a. Calculate the greatest common divisor of a and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -62. Let m be (-2)\/(-9) + (-75)\/(-27). Suppose 0*j**m + 0*j - 2\/5*j**4 + 2\/5*j**2 + g = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 3:44 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11966.\nAnswer: 2, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -28355*f + 41778*f - 20312*f in the form c*f + i and give c.\nAnswer: -6889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40336 is divided by 1341.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065000 rounded to the nearest ten thousand?\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85677 is divided by 3173.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odayydoadayooodoaya. Give prob of sequence ddo.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/36*3*(-5 - -6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17090.271 months?\nAnswer: 1424.18925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4512 and 3243.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 + 518*c**3 - 1220*c**2 wrt c?\nAnswer: -180*c**2 + 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 1. Let d be -1*3\/a - 2. Does 3 divide (0 - d)*(5 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45299*u**3 - 297*u**2 - 8381*u + 1522.\nAnswer: -271794*u - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let y(z) = -11*z**2 - 3*z - 5. Let h(o) = 12*o**2 + 3*o + 4. Let a(p) = -3*h(p) - 2*y(p). Let c(l) = -a(l) + 4*r(l). Does 6 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:26 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2a7640 (base 13) to base 8\nAnswer: -3770241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214005245 - 0?\nAnswer: -214005245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or -1362?\nAnswer: -1362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usuu when four letters picked without replacement from {s: 1, u: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -540 - -540.1. Let r(k) = k**2 - 29*k + 5. Let m be r(0). What is the closest to m in 5, 0, 0.5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/3 - 4*w\/3 - 16\/3 = 0. What is w?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 709307.3 millimeters in micrometers?\nAnswer: 709307300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8132 and -21\/10.\nAnswer: 40660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 + 2*z - 14. Let l be j(9). Suppose -3*n + 2*i = -743, -l*n - i + 996 = -5*i. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 100. Solve 4*s = -h*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:59 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 7, -1, 12, 3 in ascending order.\nAnswer: -10, -1, 3, 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 43 + 17. Let n be 2\/(-6) - 56\/x. Solve 6\/5*i**2 + 0 + n*i**3 + 3\/5*i = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3 - 3 + 4 - 5*q. Let s(t) = -14*t - 6. Suppose -5*z - 3 = -3*p + 27, 5*p - 25 = 0. What is z*s(w) + 8*x(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let q = -2.66 - -2.6. Let w = 0.24 - q. What is the closest to v in w, 3, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c**5 - 22*c**5 + 37*c**5 + (-2*c + 0*c - c)*(3*c**4 - c**4 + 0*c**4) - 91*c**5 + 11*c**4 + 45*c**5 + 44*c**5.\nAnswer: 19*c**5 + 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(16\/28 - (-783)\/(-1407)). Calculate the highest common factor of 268 and x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8018694.\nAnswer: 2, 3, 61, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 26 = -a, 0 = -a + 5*m - 2*m + 26. Solve -2*u - 4*j - a = 0, 2*u - 5*j = 4*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k - 89. Let o be j(-9). Which is smaller: -28\/79 or o?\nAnswer: -28\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvu when three letters picked without replacement from vvvuvvvv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3360\/(-5600) + ((-105)\/(-25) - 1).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 2110020?\nAnswer: -2102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 4*n - 6*n - 4*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*9\/(-30))\/((-10)\/(-350)*7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 + 152 + (-1 - 1) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*k + 4*f + 2, -4*f - 11 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19901 divided by -3?\nAnswer: -19901\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6957 = -f, -f + 2*p + 6954 = -31. List the prime factors of f.\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13128 and 710006.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round -7.63273 to 1 decimal place.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/18 + (-48)\/108 + 58. Suppose 65*w - f*w = 6138. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 13232?\nAnswer: 13237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v. Let n(j) = 3*j**2 + 19*j - 14. Let q(l) = 4*f(l) + n(l). What is q(10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -256115.\nAnswer: -1\/256115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:26 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhc when three letters picked without replacement from {l: 1, j: 1, b: 1, h: 1, c: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 9. Let q = 4 + 0. Suppose g = -d - 10, q*d - 11 = 3*g - 44. What is the tens digit of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 2*h - 589 = -653, -i + 3*h = -20 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -602, -566, -544, -542, -566, -622?\n\"Answer: -v**3 - v**2 + 46*v - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w\/(w*w*w**(-3\/11))*w**(-7\/6) assuming w is positive.\nAnswer: w**(73\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 272 - 281 - (-1 - (1 - (1 - 0)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-29 - -31) + (1 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 55 + 13. Suppose 0 = -t - 3*l + l - 5, 4*l = 20. Let o be -15*(-3 + t\/(-6)). Is o greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117874 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17582.32 microseconds to nanoseconds.\nAnswer: 17582320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1323900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/10)\/((-2)\/(-2)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(3\/4)\/p)\/p)\/(p*p**(-7)*p*p)*p*p**(-5)*p\/(p*p\/(p\/(p\/p**(-2\/17)))*p))**32 assuming p is positive.\nAnswer: p**(-1288\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/54)\/(-1))\/(18\/27)*(-168)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t - 16. Let o be b(-7). Let h be 1\/6*(-6)\/o. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**3\/3 + o**2\/2 - o - 112. Let b(j) = 9*j**2 - 8*j + 8. Determine b(c) + 6*r(c).\nAnswer: 3*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 694896 and 955482.\nAnswer: 7643856","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 51. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 1521*j - 90458. Give r(-65).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*j - 63 = 2*v, 0 = -3*j - 9. Suppose 2*l = -3*l + v. Suppose -2 = -l*x - 27. What is the second smallest value in x, 4\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2908170, -2908151, -2908098, -2907993, -2907818, -2907555?\nAnswer: -2907186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-378)*612\/(-561).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 0, -6*p - 2*n = -2*p - 42. Let v be 4 - p - 263*-1. Calculate the highest common factor of v and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(448) + 0 + sqrt(448) - sqrt(448)).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57106 + 10828 = 857*h for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002020 - 2201000210?\nAnswer: -2202010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/4 - 10*j**3\/3 + j**2 - 14*j + 2. Calculate the smallest common multiple of i(10) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186 + 736. List the prime factors of w.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-9600)\/(-59200).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484 and 1054372.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Let r = 9479757 - 9479751.999947. Let o = r - u. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/146)\/(6\/(-124)*(-2)\/6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*z = -7 - 3, -5*z = -5*g + 100. Let x = g - 13. Suppose 4*a - o - 11 = 0, -x*a - 5*o + 37 = a. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 2*h - 1. Let d be i(-2). Suppose 2*x - q = 0, -23 = -5*q - d. Let o be 0\/4 + (x - -1). Solve 15 = -o*g - 0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2 - 3*o + 3. Let u(r) = 5*r**2 + 4*r - 4. Let x(t) = 4*i(t) + 3*u(t). Let n(k) = -k**2 + 9*k**2 - 3*k**2 - 3*k**2. Calculate n(x(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - q = -21, -q = -5*n - 4*q + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -342 - -1731\/5. Factor -9\/5*c + 0 - b*c**2.\nAnswer: -3*c*(7*c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189797 to the power of 1\/2, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeepeooopeeoereproo. What is prob of picking 1 o, 1 e, and 1 p?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 120, -21440?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let q be 4 + 2 + -3 - 1. Let y(j) = j + j + j - q*j. What is y(u(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 4*l - 1. Let j(m) = -2*m**2 - 11*m - 2. Give 8*g(v) - 3*j(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 8:46 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {o: 2, t: 10, j: 2, d: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -394, -4, -3, 21, 5, -5 in descending order.\nAnswer: 21, 5, -3, -4, -5, -57, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -22*y + 21*y + 3*k, 1 = 3*y + 4*k. Calculate the least common multiple of 174 and y - (-2)\/((-8)\/(-28)).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 120, 102 in descending order.\nAnswer: 120, 102, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -3001)\/((-30)\/200300). What is i rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 26.\nAnswer: -58\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:20 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 7) in base 5?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*h = -2*a - 24, -4*h = -5*a + 30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 5*i + 8. Let h be c(8). Suppose -5*l + 55 = -r, -4*l - 5*r + 58 = -3*r. What is the highest common factor of h and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 95. What is the third derivative of 5*f**5 - q*f**2 - 43*f**2 + 49*f**5 wrt f?\nAnswer: 3240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/9)\/((-2)\/27). Let c = -219 - u. What are the prime factors of 2\/(-4) + c\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -486, -43, -1, 2, 3 in descending order.\nAnswer: 3, 2, -1, -2, -43, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.5092 millilitres in litres?\nAnswer: 0.4625092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17327 less than 82?\nAnswer: -17245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096842 rounded to 3 decimal places?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v**2 - 3*v)*(24 - 24 + 3*v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8494 is divided by 61.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 99*c**2 - c. Let h(r) = r**3 - 6*r**2 + 6*r - 6. Suppose 4*m - 5 = -4*p + 19, 3*p + 5*m = 20. Let v be h(p). Does 24 divide f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 79?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 - 1783. Let n(f) = f. Determine n(z(o)).\nAnswer: -6*o**2 - 1783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -51. Solve -d**w + 0 + 0*d**4 + 1\/2*d + 1\/2*d**5 + 0*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*-13*(-4)\/78.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 14667257.\nAnswer: -14667257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4\/65 (c) 0.5 (d) -2.1 (e) -4 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88059168 and 29353056.\nAnswer: 88059168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459043 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: Solve -591 = 26*l - 825 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -118\/5 in 2\/85, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 3*q**4 - 156 + 129 - 2*q**5 + q**5 - 2*q**5 + 2*q**5 + 0*q**5 + q**5 + q**5 + (-2*q**4 + 2*q**4 - 2*q**4)*(-4*q + 6*q - 3*q).\nAnswer: 3*q**5 - q**4 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.7 - -41. Let a = 0.4 + -4.4. What is the nearest to 1\/3 in g, 5, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/605 and -59\/4235.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 10. Let m be k(-2). Let r(t) = 165*t**3 - 2*t - 4 - 166*t**3 - 5*t**m + t - t. Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 1 = -3*q, -5*q = 3*m + 12 - 20 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11044618, -22089251, -33133884, -44178517, -55223150, -66267783?\n\"Answer: -11044633*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -100. Suppose 3*j + 9 - 2 = 4*h, 0 = -h - z*j + 10. Solve -h*n = 13 - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931 is divided by 118.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 307*k + 253*k - 6720 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 37 = -3*h - 5*w, 4*h = -3*w - 31 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 33*z - 10. Suppose 45 = 966*m - 961*m. What is the units digit of o(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.46 + 1.26. Let s = -696 - -7648\/11. Are a and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7746, 4, -7 in increasing order.\nAnswer: -7, 4, 7746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/28*14)\/1. Solve 5*h = u*m + 13, 6*h - 3*m = 2*h + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4683301 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 996800 and 2280.\nAnswer: 56817600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18438 and 21.\nAnswer: 18438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1663 = -3*z + 4*u + 226, -z + 2*u + 631 = 0. Let s = 677 - z. Solve -2*d = 40 - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3617 is divided by 310.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let u = 0 + 1. Let t(m) = -u + 6*m + 4*m - 4*m - 3*m. Let k = 7 - 6. Give k*t(x) - 5*l(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8639, 17098, 25557, 34016, 42475, 50934?\n\"Answer: 8459*f + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1060 = -5*a - 0*a. Let v = a + 87. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10) - (-2 - 16\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3212 - 94 = -197*f - 34 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nig when three letters picked without replacement from {i: 7, t: 4, m: 3, g: 4, n: 1}?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 210\/((-9)\/72*-8). What is the highest common divisor of 126 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2\/57, 22\/343?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, -633, 2\/3, -11\/3 in descending order.\nAnswer: 4, 2\/3, -0.5, -11\/3, -633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + 28*g - 7. Let b = -4865 + 4870. Determine h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -687 < -421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*o + 23697, 17199 + 14409 = 4*k - o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54394 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*y + 6 = 4*u, 0 = -3*u + 5*y + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 + 12*v - 2. Let o be q(-3). Solve -5*u - k = o, u = k + 3*k - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = s - 4, -2 = 2*p + 3*s + 7. Let u be 25 + (-9)\/15*-5. Let z be (-14)\/2*(-8)\/u. Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 24603 = 3*s, 2*s - 14*f + 13*f = 16403. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10555 (base 6) to base 5\nAnswer: 22021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) -18\/77 (c) 0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(1331) + 2)*1 + (sqrt(1331) - (sqrt(1331)*-1 + 5))**2 + ((0 + sqrt(1331) + sqrt(1331))*-3)**2 + 4.\nAnswer: -253*sqrt(11) + 53261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 945923411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1266 = 10*m - 884. Is m a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 6*c**2 + 3*c - 10. Calculate a(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/21)\/((-2)\/(-6)). Suppose -6 = -3*a + s, a - 2 = -0*a - y*s. What is the third derivative of -13*t**2 + 7*t**a - 4*t**3 + 2*t**3 - 2*t**3 wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**4 + 7*l**4 - 6*l**4 + (0*l - 4*l + 3*l)*(-l**3 - l**3 + 4*l**3) + (2*l**3 + 0*l**3 - l**3)*(2*l - 2*l + l).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58474522 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in -553, -4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1610, 1755, 2002, 2357, 2826, 3415, 4130?\nAnswer: 4977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*o - 12, 6*j = 4*j - o + 6. Suppose -u - 6 = -2*x + 29, 2*x - 41 = j*u. Suppose 2*r - 835 = 2*k - 101, -x = -4*k. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -19*v + 1806. Suppose -3*w - 2*p = 3*p - 356, 5*w = -4*p + v. Let s = w + -58. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15561645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*a + 6504 = 177*a. Let h = -534 + a. Solve h*k + 3 = -13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose 11*s = 12*s - 2*n - 18, s + 3 = -n. Suppose -5*v + 651 = s*h - 82, -3*h = -y*v + 284. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let o = 3 + s. Suppose -128 = -o*q - 26. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126000 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 0.7 (c) 4.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -14. Let b(m) = 38*m + 1. Is 12 a factor of b(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8270 + 57888\/7. Let x be (-24)\/18*(-1 + 4). Put x, -1.1, n in decreasing order.\nAnswer: n, -1.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 555 = 5*a, -8*d - 109 = -a - 7*d. Let i = a + 273. What are the prime factors of i?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 2094*y - 2012324\/3.\nAnswer: 2*(y - 3434)*(y + 293)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 - 2*u + 16*u**2 + u**3 + u**2 - 34. Let o be z(-17). Solve -r + o = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = 33*r - 2*k - 15, 4*k = -r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2688 * -15925\nAnswer: -42806400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 1. Let g(r) = -15*r - 2. What is -g(q) - 4*v(q)?\nAnswer: 11*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2400)\/(-5))\/(4\/(-46)*(-10)\/(-12500)). What is z rounded to the nearest one hundred thousand?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 1 + 0*o**3 + 0*o**2 + 12*o + 3\/4*o**5 + 5\/12*o**4. Find n, given that t(n) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvsissvssis. Give prob of picking 1 i and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(-10))\/(9114\/(-4340))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 170 = -5*y, 5*y - 3*r = -2*r + 160. Let a(x) = -x**3 - 3*x**2 - 4*x - 6. Calculate the remainder when a(-5) is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 3688860.\nAnswer: 3688860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 141451568*o + 123212965 wrt o.\nAnswer: 141451568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j + 13. Let a be 0 + j - (-45)\/9. Solve -a*x - 4 = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/88 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 389463810*d**2*u - 746515*d**2 + 126*d wrt u?\nAnswer: 389463810*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 137*c - 15149. What is y(111)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-1))\/(0 - 1). Let d = -5118 + 5119. Calculate the remainder when 35 is divided by d - ((-1)\/r)\/((-5)\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2*-4 - ((sqrt(228) - (sqrt(228) + 5*sqrt(228)*1)) + sqrt(228)))\/(((sqrt(132) - sqrt(132)*-2)*6)\/sqrt(11)))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(20)\/sqrt(2)))\/(sqrt(10)\/sqrt(20)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/153 and 139\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -18. What is the derivative of 0*g**3 + 0*g**3 + 6 + 3*g**3 + p*g**3 wrt g?\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/113 - 5761\/226. Suppose 77 = -2*q + 169. Suppose 94*f = 96*f - 2*n + q, n + 3 = 0. Which is bigger: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i**5\/2 + 701*i**4 + 20229*i**3\/2 + 33628*i**2 + 16514*i - 7704 = 0 for i.\nAnswer: -9, -4, -1, 2\/7, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172620*y - 172530*y - 3690 = 0 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804108?\nAnswer: 2, 3, 113, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0250636165 to 6 dps.\nAnswer: 0.025064","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)*w**(-12\/7))\/((w\/w**(-16))\/((w\/w**(-3))\/w)) assuming w is positive.\nAnswer: w**(-215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.27 and -181.\nAnswer: -180.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 503487616 divided by 124?\nAnswer: 4060384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 875011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/4 + 5835*q\/4 + 13149 = 0.\nAnswer: -9, 5844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 16*x + 48. Calculate w(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*l + 25*l + 43*l - 7 + 40*l in the form c*l + w and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/88 (b) 2\/141 (c) 0 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 + 34326612?\nAnswer: 34326550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 38 + -38 + 29 - (-15 - 2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 10*i + 11. Let x be b(-8). Let t = x - 12. What is the remainder when t is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, x: 1, b: 5}. Give prob of sequence xbw.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.3 + 8. Let g = 0 - -1.8. Let r = -2 + g. What is the nearest to 2\/3 in r, k, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*w = -4, 14 = 4*q - 344*w + 343*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, 1, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -54. Sort f, 4, -0.079 in increasing order.\nAnswer: -0.079, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + ((10 - -1) + -8 - (0 - -8))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + sqrt(539) + 2*sqrt(539) + sqrt(539) + 3)**2*-1.\nAnswer: -13484 - 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 18*q + 17. Let w be k(-17). Suppose -y + 9*y - 192 = w. Suppose -2*m = m - y. Solve -2*h + 0*a + 3*a = -4, 4*h + 2*a = -m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 190*t - 1148. Give h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42258061568 and -8?\nAnswer: 42258061560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231.6 - 232. Put -1.2, -2\/3, p, 3 in ascending order.\nAnswer: -1.2, -2\/3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 1\/6*w**4 + 0 + 84*w**2 + 0*w - 2\/3*w**3. Let o(r) = -3*r. Determine m(o(s)).\nAnswer: -12*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9901.293 minutes to hours.\nAnswer: 165.02155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1784\/(-12)*(-75)\/(-1850) - -6.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -202, 5.\nAnswer: -202, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -494 - -909. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-91)\/(-4))*2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k + 3*k**3 + 21*k - 72*k + 19*k + 13*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 5*i - 11. Suppose 4*u - 3*b - 18 = -2*b, -3*u + 10 = b. Suppose u*l - 48 = 5*p + 2*l, -2*l = -p - 16. Does 5 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-162) - (0\/218 - 614\/(-18)*-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19516 + -78063\/4. Suppose -d*r**2 + 0 - 9\/4*r = 0. What is r?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 13*u + 17. Let t be i(-12). Suppose -30 = -t*l - 2*n, -5*n - 67 = -4*l - 10. Let x = 123 + -83. What is the highest common divisor of l and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(65 - 50).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116*q**4 - 102 wrt q?\nAnswer: 464*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45617 or 45619?\nAnswer: 45617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2720 equal to -26567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 47362*b**2 + 1896880*b + 18976800.\nAnswer: -2*(b - 23721)*(b + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**4 + 5385*v**2*x - 2*v*x - 31290*v wrt v.\nAnswer: -12*v**2 + 10770*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 10*i**2 + 11*i - 16. Let q be f(9). Let n be (12\/(-30))\/((-28)\/10). Which is the third biggest value? (a) n (b) 0.5 (c) q (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 99\/66 + 2186\/4. Suppose -8*h + o + 1924 = 0. What are the prime factors of h?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4479415ng?\nAnswer: 0.0000000000004479415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4991 is divided by 4968?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -163, -344, -703, -1300?\n\"Answer: -10*t**3 + t**2 + 4*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002317551 to seven decimal places.\nAnswer: 0.0002318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0, 40 in descending order.\nAnswer: 40, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11113533 (base 6) to base 14\nAnswer: -8a8c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 5, j: 3, y: 2, c: 7, n: 2}. Give prob of picking 1 c, 2 y, and 1 n.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 76 + 120 = 0. Let f(g) = -5 - 6 + i*g - 3. Calculate the remainder when f(3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5778163969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -20696.\nAnswer: 62088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-3)\/(-4 - -1). Let s be 2 + (-3 + -2 - l). Suppose x - 4*i + s = -3, -29 = -5*x - 2*i. Solve -20 = x*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, -8, -2\/397, -2?\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168902860 and 126677145?\nAnswer: 506708580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320233 (base 5) to base 6.\nAnswer: -121301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -950.01 - -950. Let y = 0.047 - -0.253. Which is the nearest to 2? (a) 0 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19051 by -2.\nAnswer: -19051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 199448\/1631 + -165 + 29?\nAnswer: -96\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 5*c - 3. Let s(m) = 4*m**2 + 18*m + 10. Determine 7*a(f) + 2*s(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44*(-3 + (-6)\/(-1)). Does 25 divide (-5)\/(-2)*l\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 65. Is u < 10\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166283746?\nAnswer: 2, 83141873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328\/((-16400)\/(-75)))\/((9\/122)\/3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.261 + -0.378. Let b = 0.279 + y. What is the biggest value in -0.4, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g**(-3\/5))**(-33)\/((g**(2\/5)\/(g*(g*g**(-3)*g)\/g))\/(g*g\/(g\/g**(-2\/3))*g)**(-23)) assuming g is positive.\nAnswer: g**(806\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1512 < -1512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10*363660\/(-3762).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -25*h**3\/3 + 4. Let s(t) = t. Give s(v(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 672726400 a multiple of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 12*k**2 - 10*k - 18. Determine m(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -5*i**8\/336 + i**7\/6 - 3*i**6\/8 - 23*i**5\/12 + 125*i**4\/12 - 20*i**3 + 1987*i**2. Find j, given that a(j) = 0.\nAnswer: -2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/12 - 2\/(-8). Let g = -9 + 11. What is the nearest to y in g, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 4*s**2 + 29*s - 1. What is v(7)?\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-308)\/(-1408))*14\/(-36)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 130, -1346, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 257001?\nAnswer: 23387091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = 5*y - 9*y - 418. Solve 3*l - 35 = 4*s, y = -6*s + 5*l - 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, 20, 1\/5, -1.1, 1\/30, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -199142.\nAnswer: 1991420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162413?\nAnswer: 11, 196583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - -0.6. Let r = 3.99 + -4. Let x = -3.01 - r. What is the nearest to 1\/4 in -4, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22794*y**3 + 16643*y**2 wrt y.\nAnswer: -136764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1389800 or -1389801?\nAnswer: -1389801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.021 + 1.15. Let v = 0.052 - s. What is v rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3279*z + 3284*z, 3*p + 3 = 5*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/29)*u)*u*u**0)**(-34)*(u\/(u**(-2\/7)\/u))**5\/(u**(-1\/3)\/u*u*u**0) assuming u is positive.\nAnswer: u**(-12115\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6328*z = -5917*z - 51491 + 12446 for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -0.4 (b) -3\/2 (c) 2\/15 (d) -5 (e) 63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 14*t**2 - 2*t + 49. Determine x(-10).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60346)\/(-33) + (0 - 1\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13135557.\nAnswer: 3, 61, 179, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*s + 11, 2*k - 2*s = 2. Let a(l) = -l + 3*l - k*l. Let j(r) = 5*r. Give j(a(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11*q**(3\/13)*q*q assuming q is positive.\nAnswer: q**(172\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1252)\/(-42) - (-340)\/48195*27.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -553, -1100, -1647, -2194?\n\"Answer: -547*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 13) to base 6.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.129 and -17783.\nAnswer: -17783.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9701 (base 10) to base 5.\nAnswer: 302301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.0273 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374156117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130397742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106 - -49838?\nAnswer: 49732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -1119, -1435, -1451, -1065?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669600025.\nAnswer: 5, 947, 28283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/4)\/(4\/16). Suppose h + 10 = d*h - 3*r, -5*r - 10 = -2*h. Is (-1 + 16)*(6 - h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16826\/455 - -480\/13. Is q bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112075\/363216 - -9\/2576. Let v = w + 1\/47. Which is the nearest to v? (a) -1 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34422 divided by -6?\nAnswer: 5737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -4 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -142\/5 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 176400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - i**2 - i + 33. Suppose -3*w + 24*w = 63. What is the remainder when l(0) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10030514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -45*k + 441. Let b be u(5). Calculate the greatest common factor of b and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*q - 413, 4*q - 63 = j - 473. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -3)*-3 + -9101. Let n = -14 + 6. Let f be a\/n - 2*-1. Round f to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 24570202\nAnswer: 24570202.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -215 and -165.5.\nAnswer: -380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -79*i + 444 - 886 + 442 + 77*i. Let a(k) = 2*k**2 + 128. Determine u(a(c)).\nAnswer: -4*c**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-1)\/(-12)). Let i = y + 1. Let x = -11 - i. Let h(j) = -2*j**2 + 6*j - 8. Let v(k) = k - 1. Calculate x*v(r) + h(r).\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/45)\/((-3)\/5 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 5. Let t be p(-13). Solve 0 = -4*k + 12 + t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*f**3*h*n + 266*f**3*n**2 + h*n**2 wrt h?\nAnswer: 15*f**3*n + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = -4*w - 16, -3*y - 3 = -w. Let b = w - -37. Calculate the greatest common factor of b and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 343259 = -2*v + 4513763. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 0 - 153*j - 16.\nAnswer: -153*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - l + 30. Let i be r(0). Let s = i + -27. Suppose -5*q + 12 = -h - 4, -s*h - 2*q + 3 = 0. Is h bigger than -1\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.6? (a) 1 (b) -3 (c) -2\/11 (d) -1\/5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -1b1?\nAnswer: 19f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (-9 + 3 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/120 + v**5\/10 + v**4\/3 - 7*v**3\/6 + 21*v**2. What is the units digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2 + 2*w - 1. Let m be x(2). Let u be 1*m + -2 + 2000003. Suppose 4*l + u = -l. What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -3*i + 3*m, 5*i = -m + 116 + 249. Solve i*u = 71*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -26*l**5\/5 + l**4\/6 + l**3\/3 + l**2\/2 - 20*l. What is the units digit of a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 74. Suppose 23 + t = 3*g. What is the smallest common multiple of 8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 10:53 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0 - 0)\/(5\/10). Find the third derivative of -763*h**n + 13*h**3 + 779*h**2 - h**3 wrt h.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -4, 0, 5, 2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 13) in base 4?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -440976 + -9?\nAnswer: -440985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/10 + u**4\/5 + u**3\/10 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2365476 and 1188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 89*o\/3 - 294.\nAnswer: (o - 98)*(o + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7621.09 rounded to the nearest ten?\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 7. Let j be (10\/6)\/(2\/6). Suppose -v + 4*l + j = 0, v - l = 2*v + 5. Put v, s, 3 in descending order.\nAnswer: 3, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j - 982 + 6810 = -44*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let k be -4*(-1)\/(-6)*1080\/(-80). Solve -k = s*c - c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089854822 to the power of 1\/3, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.2, 2, 5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -394?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)*(11\/11 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -67, -4\/107, 1, 0.3, 54?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:40 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -l + 16, -3*l + 8*l + 3*n = 78. Let c(y) = -y**3 + 18*y**2 - 21*y + 4. List the prime factors of c(l).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738118477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from qjkgkbo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368405931*w + 475045139 wrt w.\nAnswer: 368405931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112152420 - -5?\nAnswer: 112152425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.05187 times 1.3\nAnswer: -0.067431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 4*l + 48. Let d be n(-9). Let j be 92 + (5 + d - 0). Calculate the highest common factor of 25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/8 - 1) + 3\/(-4). Let n(k) be the third derivative of 1\/12*k**4 + 0 - 2*k**2 + f*k - 2\/3*k**3. Determine n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let x(r) = 2 - 11 + r**2 - 3 + 0. Determine x(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1575907, 1576063, 1576219, 1576375, 1576531?\n\"Answer: 156*b + 1575751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2899, -5, 2, -1 in increasing order.\nAnswer: -2899, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6787472 times -12?\nAnswer: -81449664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:49 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -1. Let z(k) be the first derivative of 1 - 13*k**2 + 4*k**3 - 3*k**3 + 10*k**2 + g*k + 0. Solve z(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91496 and 4.\nAnswer: 91496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4648 divided by 1162?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 23, 29, 37, 47, 59?\n\"Answer: p**2 + p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 177, 163, 115, 15, -155?\n\"Answer: -3*h**3 + h**2 + 4*h + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 14. Determine u(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (31\/5 - 5)\/(1\/65)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 19. Let t be (-15)\/a + (-1)\/2. Suppose -5*n + 2 = y + 1, -2*y + t = 3*n. Solve -4 = -n*x - 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59620 and 3652.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 14. Let u be p(6). Suppose g + 1 = 5*l + u, 5*l = -4*g + 4. Solve -w + l*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -146 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 104*d. Let b(g) = -8*g. Calculate -80*b(q) - 6*n(q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*p = -20, 4*w + 2 = 5*p + 3. Suppose -w*h - 415036 = -43436. Round h to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -40*m. Let u(h) = 18*h. Calculate z(u(k)).\nAnswer: -720*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1222 + 0?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = c - 17*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) 1679 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22368, 23323, 24278, 25233?\n\"Answer: 955*a + 21413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 7) to base 4\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34807920098 - 27705\nAnswer: -34807947803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195.9 + -156. Let g = 22.8 - u. Let b = g - -17.003. What is b rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 125339310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 48, 104, 190, 312, 476, 688?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280094 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.97 + 0.03. Let a = q - 13. Let g = 7\/6 + -3\/2. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, 2051, 4291, 6587, 8957, 11419, 13991?\nAnswer: 16691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x\/(x*x**11)))\/(x**(-3\/4)*x))\/(x**14\/(x\/x**(-4))))**(7\/2) assuming x is positive.\nAnswer: x**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**5*s - 32*q**3*s - 511*q*s - 2*s wrt q?\nAnswer: 120*q**3*s - 192*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 13*k**3 + 5 + 3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, 14208.\nAnswer: 3\/4, 1, 14208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8026, 2\/13, -0.3, 0.24, 0?\nAnswer: 8026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1. Let b(a) = -a**2 - 10*a + 55. Let k be b(-13). Let s = 14 - k. What is the nearest to 3\/5 in u, -1, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 298 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -0.01148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28927*d**3 - 54949?\nAnswer: -86781*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/99 and 101\/902?\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 9*t - 6. Let q be o(6). Let c(h) = h**2 - 8*h - 10. What is the tens digit of c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21162823 is divided by 67.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*a + 493*a + 305*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7779 is divided by 63.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1239, 1237, 1235, 1233, 1231?\n\"Answer: -2*j + 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136.9484 - -137. Let h = k + -0.047. What is h rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*f**3 - 16*b*f**2*j + 4*b*f*w - f**3*j*w**2 + 2*f**3*w**3 - 2*f**2*w**3 + j*w**3 with respect to j.\nAnswer: -16*b*f**2 - f**3*w**2 + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 2*q**2 - 3*q + 4. Let s be w(2). Let v = -244\/155 + 24\/31. Which is the nearest to 1\/5? (a) v (b) -1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-3)\/p*p)\/(p*p*p**6*p))\/((p\/p**0)\/p)**42)\/((p\/(p**(1\/2)*p*p*p*p*p*p))**(-33))**(-3\/14) assuming p is positive.\nAnswer: p**(809\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694086.9 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788609337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22128, 22137, 22160, 22203, 22272, 22373, 22512?\nAnswer: 22695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15560 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 12*c - 16. Let g be ((-2)\/c)\/((-9)\/24). Which is smaller: g or 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13894\/3 - 4711. Let f = l + 81. Which is the third smallest value? (a) -2 (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042709 rounded to 7 dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/2 of a hour?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1219, -5 in ascending order.\nAnswer: -5, 2, 1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*k - 3*k - 144, -3*b + 274 = 4*k. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6994512 to the power of 1\/2, to the nearest integer?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48273598 by -5.\nAnswer: -48273598\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16930 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808320127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258538?\nAnswer: 2, 7, 59, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*p - 2*p + 8, i = 4*p + 4. Suppose -5*x + 7679 = 4*m, -5*x + 934 + 6737 = -i*m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*d + 203823, -5*d + 59*n + 509550 = 64*n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2673, 2678, 2689, 2712, 2753?\nAnswer: 2818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29446777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*s - 6 + 1 to z*s + j and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4502*t**2. Let o(z) = -321*z - 313*z + 961*z - 326*z. Give o(r(a)).\nAnswer: -4502*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 56, -9, 0, -3, -26\/5, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.804, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 224 - 440 + 229 - k. Suppose -3 = -s - 0. Let g be a(s). Solve 5*b = b + 4*p + 40, -3*b - g = 5*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 305, 295, 281, 263, 241?\n\"Answer: -2*c**2 - 4*c + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159274022.\nAnswer: 2, 193, 412627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*t - 2, 2*t - k + 4*k - 10 = 0. Suppose v - t*f - 25 = -7*f, v = 2*f - 10. Let s be 16\/(-15) - 2\/(-5). Is s at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23096353121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 0*y**2 + 5 - y**2 - 5*y**3 - 5. Let q = 289 + -290. Give o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (31 - 9) - (2 - (-10 + 8))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 20. Let k(o) = 4*o**2 + 3*o - 3. Is k(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -133 + ((-2 - 5) + 7 + -3 - 3).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t + 2 + (2*t + 2 - 2)*(1 - 2 + 0) + (1 + 2 + 1)*(3 - 3 - t))*(-4 - 3 - 1).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.8 (b) 3 (c) 3.7 (d) -514 (e) 3\/11 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1982043, 1982039, 1982035, 1982031, 1982027?\n\"Answer: -4*r + 1982047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5*2)\/(24\/(-66)). Let f = 27 + c. What is the closest to f in 2, 5\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678*o - 709*o + 155 = 0. Let n = 10 + -6. Solve -2*m - v - n*v = -15, -5*m - 4*v = o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than 2984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64160.\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*s + 4 = 3*c, -c = -5*s + 16. What is the third derivative of 71*w**3 + 2 - 163*w**3 + 3*w**c - 34*w**2 - 28*w**2 + 16*w**2 + 70*w**3 wrt w?\nAnswer: 72*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoqqqxoxqcqqqc. What is prob of sequence oox?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10555, 19779, 29003, 38227?\nAnswer: 47451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 65803635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*q + 4338 = 160*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209482 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-3)\/9)*3. Solve 4*x - 16 = 2*n, 5*x = 4*x + m*n + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -243*i - 3927. What is j(-16)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 104757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 21. Let l be (3\/9*3 - -16) + -5. Suppose 322 = -l*s + 14*s. Calculate the remainder when s is divided by y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -355025?\nAnswer: -355027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 864122*y**3 - 248901988920*y**2 + 23897826661599878*y + 23898075564452921.\nAnswer: -(y - 288041)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 10*h - 20. Let w be 3 + (120\/(-2) - h). Let y = w - -91. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1116645 and 28\/75.\nAnswer: 5583225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 5*o**3 - 2*o + 31515*o**2 - 31515*o**2. Let x(j) = -j**3 - j. Suppose 0 = 4*h + m + 2*m + 38, 6 = 3*m. Calculate h*x(u) - 2*t(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j**2. Let x be (6\/24)\/(2\/88). Let d(k) = 12*k - 29*k + x*k + 5*k. Determine d(g(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 94*f - 8 + 36.\nAnswer: 94*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 45*v**2 - 510*v - 96. Determine d(21).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -5, -3*i - 3*s + 3 = 0. Suppose i = p - 0*p. Suppose 4*d - 20 = 12. Solve -p*y - d = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*y - 319*y - 323*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -530292 by -6313.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/((-5)\/15). Which is the closest to l? (a) -2\/11 (b) -0.4 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**8\/336 - p**6\/24 - 91*p**5\/30 + 167*p**2. Find the third derivative of j(z) wrt z.\nAnswer: -60*z**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 0.19, 2, 5 in increasing order.\nAnswer: -1\/10, 0.19, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(972*f + 604*f - 503*f).\nAnswer: -1073*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:06 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + (7 - 2) - (10 - -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76193.95 rounded to the nearest one hundred?\nAnswer: 76200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*(14\/6 - 3). Let o = 11 + q. Suppose 0*s = 2*s - n - 322, -4*n = -o*s + 799. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2648, -5329, -8030, -10763, -13540, -16373, -19274?\n\"Answer: -2*m**3 + 2*m**2 - 2673*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1272083589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p = -59*p + 1040. Which is bigger: -261 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -8. Is (-18)\/n*(-41 - -1) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o**2 + 272*o + 2414. Calculate l(-9).\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 107868023 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2676828 and 231.\nAnswer: 2676828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/10*(-10)\/4. What is the smallest common multiple of l\/27 - ((-526)\/18 - -2) and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 12 - 2 = 0. Let k = -1 + u. Calculate the remainder when 38 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119136 - 8?\nAnswer: 11912a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 118, 226, 360, 514?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11824 = 641*n + 34900 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-3066)\/(-4) - 17\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + u - 3*u + 26 = 0, 0 = 5*i - u - 22. Suppose -t = 3*y - 2, 18 = -2*t - 0*y + i*y. Suppose -2*o + 0 = 2. Sort o, t, 4 in increasing order.\nAnswer: t, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 7 = 3*a, 0 = -5*k + 18 - 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -30. Let a(v) = 12*v**2 - m*v**2 - v + v. Let k(w) = 48*w + 33. Let x(i) = -6*i - 4. Let d(p) = -4*k(p) - 33*x(p). Determine d(a(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -244 or -626268?\nAnswer: -626268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -424, -954, -1696?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80563962.\nAnswer: 2, 3, 179, 75013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.102 - -168.898. Let m = w + -170.3. What is the third biggest value in -2\/7, m, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 46*q + 250 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2275944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3744887, 0.05 in decreasing order.\nAnswer: 0.3, 0.05, -3744887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(-15)\/90.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3740 divided by 935\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -185 (c) 73.6 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 28. Let y = 11 + -6. Calculate the remainder when (n\/2)\/(-3)*2 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 304159, 608278, 912397, 1216516?\n\"Answer: 304119*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 300*o**2 + o + 778815 - 778815 in the form u*o**2 + w + q*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:46 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20611 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: Let j = 101 + -91. Let h(t) = 4 - 8*t - j*t - 1 + 17*t. Determine h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097082 is divided by 274269.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-10 + (-5 - -30) + -9) - -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 22 = 13*h - 9*h, 4 = 4*c + 4*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 94 - 29. Solve -5*t + z = -7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11)*u\/(u**(-2\/19)*u))\/(u**(-2\/29)\/u*u\/u**13))**(-1\/12) assuming u is positive.\nAnswer: u**(-26249\/24244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 14*v + 10. Let x(i) = i**2 - 7*i + 5. Let y(z) = -4*m(z) + 7*x(z). Suppose -46*b + 33 = -197. Calculate y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569875 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 7. Let b = 21 - g. Suppose 1 = -3*u + b. Solve u*j - 3 = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (0 + 15 + -18 + (9 - (-2 + 3)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-42))\/(91\/273))\/((-1)\/21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h**4 + 477*h**3 - 484*h**2 + 108*h.\nAnswer: h*(h + 54)*(3*h - 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11413 - 11413.05. Sort p, -0.5, -2, -1, 1.\nAnswer: -2, -1, -0.5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-d**3 + 4*d**3 - 2*d**3) + (-4*d + 199 - 199)*(1 - d**2 - 1).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200595?\nAnswer: 3, 5, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*v - 18, 0 = -2*v - v + 6. Let g be (-6)\/4*(-164)\/c. Let p = g + 227. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -1.3. What is the nearest to q in -1, -5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10542 bigger than 10542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 243*b + 256. Let s be v(-1). What is the highest common divisor of 29 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41496 + 41918 = 3517*i + 134068 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -34*x**3 + 12*x**2 - 12*x - 16. Let b be a(7). Let q = b + 6764. What is q rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3070*y. Let l(g) be the third derivative of -g**5\/30 - 5985*g**2. Calculate l(h(m)).\nAnswer: -18849800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 31*g - 13*g)*(3*g + 3*g - 5*g)*(0 - 1 + 3) to p*g + k + f*g**2 and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.7 and 980.80894?\nAnswer: 983.50894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39988368*c**5 + 173343*c - 317 wrt c?\nAnswer: 799767360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006\/36369 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - q**5 - q**5 + (3*q**2 - q**2 - 4*q**2)*(0*q**2 + 0*q**2 + 2*q**3) + 15132*q**5 - 30277*q**5 - 1549*q + 15142*q**5.\nAnswer: -8*q**5 - 1549*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 165841 + 165841 - 16*l**2 + l.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34000 by -85.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 95*z**2 - z. Let l be j(-2). Let q be l\/(-6)*(1 - 2). Let t = q + -56. What is the common denominator of 12\/11 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122 and 890670.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1173, -6640, -16391, -30426, -48745?\n\"Answer: -2142*y**2 + 959*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2 + 1) + -2. Let p be (x + -1500)\/(2\/(-8)). Round p to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 + (-12 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 22, -102.\nAnswer: -102, 2\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/616349664 and 23\/118944672.\nAnswer: 6779846304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzdgdgdgdddgdddzddd. What is prob of picking 3 d?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 19295*m + 38585. Calculate p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 73*1532.85\nAnswer: 111898.05","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 7266 divided by 6?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -365, -351, -321, -269?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 783*j**2 + 786*j.\nAnswer: -3*j*(j - 1)*(j + 262)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(110)*-4 - sqrt(110))*-6)\/(-5*sqrt(1210)*-4))**2.\nAnswer: 225\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/6 - g + 16. Let c(p) = 15*p + 1. Give y(c(s)).\nAnswer: 450*s**2 + 60*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -515\/9. Let r = 1.5 - -10.5. Let c = r + -14. What is the biggest value in -5, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/4 - 3145*w**3\/4 - 31086*w**2 + 133771*w - 136912 = 0.\nAnswer: -43, 2, 3184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3228405 divided by -23565?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/12 + c**3\/3 + c**2\/2 + 3*c. Let l be d(-4). Solve 7 + l = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*f + 28 = 0, -y + 3 + 8 = -2*f. Suppose 0 = 3*t - 3*w - 60, -y*t + 5*w = 8*w - 84. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878 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: Which is the second smallest value? (a) 2 (b) 1\/21 (c) 5\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 6*i**2 + 32*i + 16. Determine u(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 795 - 796. Put 1, 4, 2, b, 7 in decreasing order.\nAnswer: 7, 4, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 9.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 14) + 4 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*c + (3*c + c - 2*c)*(1 + 0 - 2))*(-c - c + 810 - 790).\nAnswer: 10*c**2 - 100*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(16)\/(sqrt(8) + sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8)) - (-2 + sqrt(2) + 1)))**2.\nAnswer: 3*sqrt(2)\/2 + 17\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-25) - 8\/20. What is u in -6*u - 10*u + 4*u**z - 2 + 18 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - 5 = 0. Let g(t) = t**3 + 3*t**2 - 5*t - 3. Let a be g(l). Let j = 72 + a. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16047300*10\/(-9)*(-15 - (7 - 16)). What is a rounded to the nearest one million?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(196) + sqrt(294)\/sqrt(54))\/((sqrt(7) - (sqrt(63) + sqrt(63) + sqrt(315)\/sqrt(5) - sqrt(63)))*-4).\nAnswer: -23*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u + 596. Let l be f(63). Suppose 4*q + 169 = 3*q. Let r = l - q. What is the greatest common factor of r and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/11 + 29600*r**3\/11 + 109490396*r**2\/11 - 219069600*r\/11 + 109549602\/11.\nAnswer: 2*(r - 1)**2*(r + 7401)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x + 4. Let u(b) = -5*b - 2. Let g(m) = 4*h(m) + 9*u(m). Suppose 5*w - 28 = o, -5*o - 8 = w + 2. Give g(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2614 + -2596 - ((-2 - -3) + -1 - -7)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/24 - y**2. Suppose 2*i + s - 2*s - 30 = 0, 46 = 2*i + 3*s. Let t(u) = -i - 9*u + 17. Determine c(t(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2076 and 54?\nAnswer: 18684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.6 - 23. Let y = 3 - r. Let l = -2.6 + y. What is the second biggest value in -3\/4, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 8}. Give prob of sequence bmmb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8\/5)*q)\/(q\/q**(-21))*q\/(q\/(q\/(q\/(q\/((q\/q**3*q)\/q)))))*q\/q**(2\/43))**(-1\/60) assuming q is positive.\nAnswer: q**(4009\/12900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-15))\/(12\/20 + 0). Which is the biggest value? (a) k (b) -5 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-3)\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 3*m**3 - 3*m**3 + (-3 - m + 3)*(2*m**3 + 119*m**4 - 2*m**3).\nAnswer: -121*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.6. Suppose 2*v + 9 = -v, -2*v = 3*s. Suppose -18*g - 10 = -5*t - 23*g, 0 = 4*t + s*g. Which is the closest to -1\/2? (a) t (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15*1\/3 - 5. Solve -4*s + z + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -243*d. Let y(k) = 124449*k**2. What is y(g(x))?\nAnswer: 7348589001*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k = -166 - 194 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 9. Let s be c(-5). Suppose -s*z + 7*z - 15 = 0. Suppose z*g = g + 180. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10204, 20798, 31382, 41950, 52496, 63014, 73498, 83942?\nAnswer: 94340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100111 + 100?\nAnswer: -10010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - r + 15. Let x = 7 + r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by 40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 4 - sqrt(68)) + -4*(2*sqrt(17) + sqrt(17)) + (sqrt(2448) + -1 - sqrt(2448))**2 + (sqrt(17)*-2)**2 + 2.\nAnswer: -12*sqrt(17) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95800 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155532 is divided by 687.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.69859 centimeters in micrometers?\nAnswer: 56985.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 422 + 177. Let n = -319 + s. Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -715*o**2*p*x - 54*o**2*p - 5*o**2*x - 2*o**2 - 22*o*p - 3*o*x + 6*p*x - 4*x - 2 wrt o.\nAnswer: -1430*p*x - 108*p - 10*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 5*k - 2. Let p(v) = v**3 + 4*v + 2. What is -4*a(c) - 5*p(c)?\nAnswer: 3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-180)\/8)\/9)\/((-120)\/96). Sort 175, -2, l, 5 in decreasing order.\nAnswer: 175, 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.7\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 186.\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278675 is divided by 743?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1228003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r - 1602483 = -38*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 2 k when four letters picked without replacement from {l: 3, k: 4, x: 1, o: 2, a: 4}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2. Let k(j) = -597*j. Calculate k(z(n)).\nAnswer: -1791*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**5\/15 + 13*l**4\/6 + 20*l**3\/3 - 1502. Find a, given that s(a) = 0.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*d - 1 - 1, -57 = -5*d + 3*a. Suppose d - 24 = -3*l. Suppose 2*k - 395 = -l*z + 22, 5*k = -20. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1469681919 + -1469801350.0923. Let f = -119445 - s. Let k = f + 13.9. Round k to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:41 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from uqukk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 25. Give i(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(1\/12)*z)\/z*z)\/(z*z*z*z\/z**(-1\/6)*z*z*z))**(-5\/9) assuming z is positive.\nAnswer: z**(305\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332527 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 17\/8 (c) -1 (d) -117 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(1144\/(-48))*11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11781245 by -409.\nAnswer: 28805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 3 = 0. Suppose -62 = 5*u + 18. Let t be ((-9)\/(-12))\/((-6)\/u). Solve c + 2*z + 4 = -3, -t*c + 2 = -h*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 211424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:13 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 121 = -0*l - 3*m, 3*l - 2*m = 189. Solve 10*u + 3*u + l = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172 - 192) + (7 + -3 - (-1 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*i + 95 = 19, 172 = -2*d + i. What is the remainder when 25 is divided by (-24)\/14*d\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2 + o - 5. Let d(p) = -p**2 - p + 1. Calculate d(w) + h(w).\nAnswer: -7*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -4, 1, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -3*k**2 - 2*k - 396. Calculate f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 8. Suppose -b = -2*b + 4. Is 4 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4813, -9642, -14471?\n\"Answer: -4829*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(51) - sqrt(204)\/sqrt(4))*-5 + sqrt(51))*4)\/((sqrt(9)*-1)\/sqrt(3)*1).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/11158324?\nAnswer: 1\/11158324","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 12*c - 9. Let z be m(11). Suppose -3*f = z*y - 3*y + 172, -476 = -3*y - f. Let i = 319 - y. What are the prime factors of i?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -0.08425472\nAnswer: 0.01574528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 3. Let f be l(0). Suppose -3*v - 2*m + m + 14 = 0, 20 = 4*m. What is the derivative of -7 - j**v - j**3 + f wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251 + -141. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 > 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*c - 70*c + 12 = -l, -3*c = 3*l + 75 - 81 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let c be (8\/10)\/((-3)\/(-60)). Calculate the highest common divisor of c and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377125 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: What is the smallest common multiple of 4116 and 141?\nAnswer: 193452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*(-584640)\/(-5481)*18\/5\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Suppose -3 = -w - a. Differentiate -w*s + s - 2 + 5 with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-12)\/(-2))*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (72\/8)\/(-3))*-11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/(n*n\/(((n\/(n**4*n*n))\/n)\/n)*n))\/(n**(-8\/3)\/n*n**(-2\/3)) assuming n is positive.\nAnswer: n**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 0 + (-13 + -14 - -9 - -29).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 61, 2, -4 in decreasing order.\nAnswer: 61, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2389*s - s**2 + 2389*s - 27*s**3 in the form r*s + a*s**3 + y*s**2 + w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570937 - 627*r - 881909 + 626*r - 387944.\nAnswer: -r - 1840790","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2\/7, 69?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70997238 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 3, g: 8, m: 2, t: 2}. Give prob of picking 1 m and 1 g.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -o + 4, -53 = -o - 5*z - 47 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 4. Let c(w) = 2*w - 7. Suppose 2*a = 2 + 14. Let x be 4\/a + 46\/(-4). Calculate x*t(r) - 6*c(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i. Let t(g) = -156598*g + 3170. Let m(p) = 46*p - 1. Let k(z) = 3170*m(z) + t(z). What is k(l(n))?\nAnswer: -32334*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in -4, -9, 2\/193?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 298277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2021528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.068 (c) 0.1 (d) 2503\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-20) + (-340)\/(-75) + (-20)\/5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -1.7. Let j = 0.26 + -0.58. Let o = -0.42 - j. What is the closest to o in 0.2, m, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534498.9 nanograms to grams.\nAnswer: 0.0005344989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/20*32960\/(-4944)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50 - 27 - 56 - -17\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + (0 - -2). Let r(t) be the first derivative of 3*t**3 + t**2\/2 + 39. What is the smallest common multiple of 2 and r(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 4\/3*x**3 + 0*x + 0*x**2 - 2. Let v be q(-1). Solve -3*p = -3*m - p + 1, v*p + 3 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.5594 millilitres to litres.\nAnswer: 0.0755594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 236 + -175bb6?\nAnswer: -175980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16548332 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*l + 2*o = 142*l - 160, -160 = -4*l - 4*o. Suppose -a - 4*a + 200 = 0. What is the greatest common divisor of a and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 636*z**2 + 17*z - 69. Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 895213156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 21 = 3*l, -4*l - 13 = 2*o + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 2517580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -914 - -1481. Suppose 4*b = w + 709, 139 + d = 4*b - 2*w. Calculate the remainder when b is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 1167888346587.\nAnswer: 1167888346594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 36\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u + 4*r + 3, 0 = -2*r - 8. Let t be (-2)\/5 + 12\/5. Let p = t + u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 5*f**8\/1344 - f**6\/32 + f**5\/24 - 979*f**2. Let a(c) = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/70 + 202\/(-7). Let s be 9\/(-4)*l\/21. Let z = -16 + 11. Sort s, 0, z, -1.\nAnswer: z, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 2945368*c\/3 - 13745116\/3 = 0.\nAnswer: -981794, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 84042402.\nAnswer: -1\/14007067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*y + 2)*(97*y**3 + 205*y**2 - 306*y**2 + 121*y**2).\nAnswer: 194*y**4 + 40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 21. Suppose 0 = 2*j + 5*c - 14, -3 = -c - 1. Calculate the smallest common multiple of q and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14261, 27096, 39931, 52766, 65601, 78436?\n\"Answer: 12835*q + 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, -4, -9, 0, -1 in decreasing order.\nAnswer: 0, -1, -2, -4, -9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 195 - (-1254 - -1319).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 + 3*d - 2. Let b(n) = 2*n - 1. Let h be b(-2). Let m be r(h). What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1, -0.2, -1.8, -20, 113?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*4\/(-16))\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose i + 2 = 3*m, -2*i - 4 = 3*m - 0*i. Suppose 3 = -m*z + z. Sort 0, b, z in ascending order.\nAnswer: 0, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose -d - d + 15 = 5*r, -j*d + 5*r = -45. Let o(s) = -5*s + 119. Let a be o(23). Solve i - k + d = -2*i, a*i - 5*k = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose -i*t = 3*t - 15. Solve 0 = 4*d + 4*z + 12, -3*d + t = -4*z + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -19*h + 21*h - 122, -h - 225 = -5*k. Calculate the remainder when 395 is divided by k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.5 (c) 0.4 (d) -3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022 (base 7) in base 14?\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y + 23. Let x be f(-2). Let v = -37 - -36. Put v, 3, -2, x in decreasing order.\nAnswer: 3, x, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 3*x - 477 + 605 + (-2 - 3 + 3)*(3*x + 0*x - 2*x) to k*x + l and give l.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/193 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/420 + k**6\/24 - k**5\/5 + 129*k**2. Determine o so that i(o) = 0.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (7 - (-6 - -2)) - 16) + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37647499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a = 5*f - 25, -2*f = 2*u - 2 - 0. Let t = 0 - -0.3. What is the third biggest value in u, t, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(612)\/(sqrt(192)\/sqrt(4))*-2)\/(-1*(sqrt(147) + -2*sqrt(147)) + 4*(sqrt(147) - sqrt(147)*-2)) + 1.\nAnswer: -4 - sqrt(17)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47994521*d**4 - 94339269*d**2.\nAnswer: 1151868504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -3, 4, -12.5, -476?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*q - 2*d**2*f*q + 160*d**2*f + 9*d*f*q + d*q - 15*f*q wrt d.\nAnswer: -18*d*q - 4*f*q + 320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18240 by 456.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 15*p + 1624. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.38, -7309340 in decreasing order.\nAnswer: 0.38, -1, -7309340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 71.1 * 1\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18 = a - 2*r, -3*r = -2*a + 22. Solve -17 = -5*f + 2*f - 5*c, -5 = -a*f + 3*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*h**3*u**3 + 739*h**3 - 4*h*u**2 - 2*u**4 wrt u?\nAnswer: -84*h**3*u**2 - 8*h*u - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, -3, 0, 2336, 10 in descending order.\nAnswer: 2336, 10, 5, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w + 32*w + 37*w - 100*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3 - 1. Differentiate -8 + 8*p**4 - 13*p**4 + t wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(13) + sqrt(52)\/sqrt(4) + 1)*-2)**2.\nAnswer: 24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/16 + 180\/(-4000).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-65)\/(-40)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 + 7*d - 11. Let l be h(5). Suppose 7*k - l = -0*k. Let a(n) = 5 + n**2 - n**2 + 6*n - n**2. Determine a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10, 2\/141, -1, -0.066?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(-13 + (14 - 5)). Solve 1 = -n - 5*p - 1, -3*n - s*p - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 365*k - 11063. Determine x(-28).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 30 = -380. Solve -2*q - 2*j - y = 0, -2*q = -5*j - 8 - 17 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1792 - -1035. Let r = j + 3726\/5. Let h = -43 + 31. Are r and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -7\/4 (c) 4\/3 (d) 4 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 3*k**2 + 2*k**2 + (12*k - 6*k + 17*k)*(-60 - 66 + 32)*(1 + 3*k - 1) to g*k**2 + t*k + m and give g.\nAnswer: -6487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -3)*-1*-1. Solve 2*v = -4*t + 4, -2*v = -4*t + 2*t - n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79054*s**2 - 12651*s**2 + 8207*s**2 - 117*s + 117*s.\nAnswer: -83498*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 54 - 100*q + 50*q + 47*q. Let s(b) = 2*b**2. Determine s(a(l)).\nAnswer: 18*l**2 - 648*l + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 - 2*z**2 - 3*z - 2. Let q be m(-1). Put q, 2\/3, -2\/15, 0.1 in descending order.\nAnswer: q, 2\/3, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from tcwgt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 187*b**2 - 2483*b - 17. Let w(r) = -60*r**2 + 827*r + 6. Let n(g) = -6*d(g) - 17*w(g). What is the second derivative of n(i) wrt i?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r + 1 = 1. Suppose -4*z + 349 = -4*b - 663, -5*z + 4*b + 1266 = r. List the prime factors of z.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.184\nAnswer: -0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1598147*y**3 - 306*y + 220.\nAnswer: 9588882*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7293534 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 15*c - 552. Let a = c + -442. What is the units digit of (a\/(-8)*-1)\/((-3)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 9*v**4 - 111*v**3 + 0*v + 94*v**3 + v**4 - 2*v**2 + 2*v**2 + (-4*v**3 + 6*v**3 + 0*v**3)*(v - 1 + 1) + 3 - 3 + 2*v**4 - 3*v**4 + v**4 - v**4.\nAnswer: -7*v**4 - 17*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6. Let b(d) = d + 1. Let j(y) = 6*b(y) - o(y). Let z(t) = -5*t**2. Give z(j(r)).\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v + 2. Let z(f) = -16*f - 3. Calculate 5*a(x) + 3*z(x).\nAnswer: -8*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + o - 8. Let q be 1*(5 - (-20)\/(-5)). Let b(m) = -1. Determine q*v(j) - 5*b(j).\nAnswer: 2*j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10214 - 10030. Calculate the greatest common divisor of 1242 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5134574*d + 2 + d**2 - 47*d**2 - 5134574*d.\nAnswer: -46*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3cca5b5 + 5?\nAnswer: 3cca5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + 68. What is the greatest common factor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n**4\/8 - 5*n**3\/3 - 5*n**2\/4 - 117. Suppose c(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 0, 5*j - j = -3*u + 612. Let q = -85 + j. Suppose y + 3*x = 32, -8*y + 10*y + 4*x - 54 = 0. What is the remainder when q is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.5 - 10.6. Let v = -0.014 + 5.014. What is the closest to k in v, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)\/((o\/((o**(-2\/5)*o*o)\/o)*o)\/o))**(-49)*(o*o*o\/o**0*o)**8*o**(-2)\/o*o**(2\/11)*o*o assuming o is positive.\nAnswer: o**(41699\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3183 = -7*d. Let a = -414 - d. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 33*x + 33. Let i be c(-1). Sort -36, i, -5, -19 in ascending order.\nAnswer: -36, -19, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -922376 divided by -724\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.623660749 + -1.4359.\nAnswer: -0.812239251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-6)*(8\/140)\/(3\/(-45))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193707292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4046490 + 6993835. Let q = z + -1401389. Suppose 0 = 4*m - 2654044 - q. Round m to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 333807929 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 23\/1318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 50, 52?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a - 6 = -6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3757*y**2 - 1260*y**2 - 1224*y**2 - 1263*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d + 2 + 14*d - 9*d. Let u be g(-1). Suppose 0 = -5*k - u*k + 513. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y - 128 + 8276. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/9)\/4*96\/(-80). Find the third derivative of -5 - 3 - 4*m**u - 109*m**3 - 6*m**2 + 5 wrt m.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -32*t + 352. What is the lowest common multiple of 36 and t?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 48*t**2 + 21*t + 150. Let c be f(-48). Let l = 1885 + c. What is the remainder when l is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-16.508.\nAnswer: -33.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 19. Let w(g) = -274*g**2. What is w(b(i))?\nAnswer: -274*i**2 + 10412*i - 98914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/30 + 4*k**2\/5 + 32*k\/5 + 15. Factor j(s).\nAnswer: (s + 8)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooozoooooopoo. What is prob of picking 1 z and 1 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -9, 0, -4 in decreasing order.\nAnswer: 4, 0, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 72.8 times 1.34\nAnswer: 97.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*t + 2. Suppose 2*p - 16 = -t. Let r(z) = -z**3 + 7*z**2 + 3*z - 4. Let n be r(7). Solve n = 3*d + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 8\/12. Suppose 4*m + h = 1016, -h + 2*h - 4 = f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:51 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 i when three letters picked without replacement from nrizazx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*q = -27, 0 = -7*g + 3*g - 5*q + 73. Suppose -2*k - 2 = -4. What is the remainder when k + 0 + 0 + 46 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**3 + 2*h + 12*h**2 - 16*h**2 + 2 + 2*h. Let u(m) = 7*m + 0 - 10*m**2 + 3*m**2 + 15*m**3 + 4 - 1. Give -7*k(j) + 4*u(j).\nAnswer: 4*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 14) + -12 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 402, 850, 1466, 2244, 3178, 4262, 5490?\nAnswer: 6856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6*o - 2*o - 249, 0 = 5*m + o + 438. Let v = 158 + m. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + 2 + sqrt(475)*-4 + -1 + sqrt(475) + ((sqrt(475) - (3 + sqrt(475))) + sqrt(475) - sqrt(475)) + sqrt(475) + -1)**2*-2.\nAnswer: -11694 - 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 21 - 26. Let o = g + -5. Solve -5*u + 2*u = o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 125 = -4*m - 24, 0 = m + 2*z - 29. Let o = 23 - m. Suppose o = -c + 11 + 4. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7669*j**3 - 1586*j**2 - j wrt j.\nAnswer: -46014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961387447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 14*s**2 + 40*s + 130. Let q be j(-16). Put 5, q, -23, -5 in descending order.\nAnswer: 5, q, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*9125.644\nAnswer: -3650.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89936 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 31, 51, 75, 103?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-4 + -1 - sqrt(156)\/(sqrt(12)*-4).\nAnswer: -15*sqrt(13)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1286 - 10.1286. Let j = 0.6 - 1. Sort w, -5, -0.1, j in increasing order.\nAnswer: w, -5, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1570 = -201*d - 2300 - 2486 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320483 is divided by 80104.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w + 15 + 6*w - 15 - 10*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 45 + 2*c**3 - 9*c**2 + 2*c**3 - c**3 wrt c.\nAnswer: 9*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 - 4 = 0. Let b(n) be the second derivative of n**5\/20 + n**4\/6 + 2*n**3\/3 - n**2\/2 + 6*n. Determine b(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 3*k + 6*u + 4, 3*k + 3 = 6*u. Let t(i) = -4*i**3 - 2*i**2 + 12*i + 2. Let g(j) = 5*j**3 + 3*j**2 - 13*j - 3. Give k*t(y) - 2*g(y).\nAnswer: 2*y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 278*v - 278*v + 7*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 816 and 16983?\nAnswer: 271728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -235304221 (base 7) to base 10\nAnswer: -14640382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l - 7. Suppose -3 - 4 = -g. Let i be a(g). What is the third derivative of 2*b**2 + 3*b**3 + i*b**2 - 5*b**2 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19534 times 50.04\nAnswer: -977481.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 12*v - 14. Let h(r) = -r**2 - 23*r - 65. Let l be h(-19). Let w be o(l). Let u(g) = 2*g + 1. What is u(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Let z(o) = o**3 - 2*o**2 + 2*o. Let f be z(2). Let c(p) = p - 4. Let w be c(f). Solve w = -r*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.1, -46, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77072341.\nAnswer: 19, 61, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/18, 0.5, 0.01, -2\/77, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjlghlllxj. What is prob of sequence jgjl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 7. Let f(r) = -r + 2. Let l(v) = -4*f(v) + p(v). Let q(s) = -5*s - 3. Calculate 9*l(y) - 2*q(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2809345, -2809484, -2809715, -2810038, -2810453?\nAnswer: -2810960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**2 + 2\/735*z**7 + 0*z**3 + 0*z**4 + 1\/140*z**6 + 0 + 1\/210*z**5 + 0*z. Factor m(p).\nAnswer: 2*p**2*(p + 1)*(2*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 31222, 4, -8.\nAnswer: -8, 4, 17, 31222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3960.05 kilometers to nanometers.\nAnswer: 3960050000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 8:31 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -89*y - 2. Let a be (-1)\/2 - (-23)\/(-46). What are the prime factors of g(a)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 6*d**2 + 2*d**3 - d**3 + 2*d + 26 - 32. What is m(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013012 - 20030?\nAnswer: 332322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15611051.3704 - 1.5?\nAnswer: -15611052.8704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -2, -10, -10, 4, 38?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 - 2*f**2 + 7*f - 2. Let n(d) = -9*d**3 + 5*d**2 - 20*d + 6. Let g(k) = -17*c(k) - 6*n(k). What is g(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7324 - 6061 = -1172*o - 23349 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (103 - (5 - 1 - 2)) + (400 - 417)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.64119 and -4.831962?\nAnswer: 1.190772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(3*(-8)\/(-12))*552\/230?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5060 in 0.04, 0.8, 1, 3, 0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from sxcmxch.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 20*o**2 - 10*o + 18. Let q(a) = -20*a**2 + 9*a - 18. Let u(s) = -5*q(s) - 4*r(s). Let x = 125 - 122. What is the units digit of u(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*z**2 - 1152*c**2 - 12*c*z**2 - c + 2*z**2 wrt c.\nAnswer: -4*z**2 - 2304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 36, 58?\n\"Answer: 22*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -5879306023.\nAnswer: -5879306027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/5 (b) 18 (c) -3.4 (d) 1\/6 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*x + 470. Calculate the least common multiple of x and (3 - -21 - 2)\/((-8)\/(-4)).\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.14688 months to centuries.\nAnswer: 0.0251224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17)*1 + sqrt(153) + 2)**2*-2.\nAnswer: -42 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 divided by -30452.\nAnswer: -83\/30452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50872.83 tonnes?\nAnswer: 50872830000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 s when three letters picked without replacement from pqssqqsqqqpspss.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5946 is divided by 5879?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887*p + 6631160 = 907*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26220965045 + -0.7?\nAnswer: -26220965045.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455738?\nAnswer: 2, 227869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b - 22 = 0. Let d = 62 + -90. Let q = b - d. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 22. Suppose 0 = -2*s + 4*i - 28, 4*s + s + 70 = -4*i. Let l be k(s). Let c be -11 - l\/(-2 + -2). What is the biggest value in -2\/3, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 568454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - j - 1 = 0, -2*d - 8 = 4*j - 22. Let g be d - 2 - (-1 - 33). Which is the biggest value? (a) g (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 267 + -6.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22462007 - -5?\nAnswer: 22462014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + u. List the prime factors of (1 - 0) + 3 + (u - -171).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -730, -1108, -1486?\nAnswer: -1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 343442.\nAnswer: 686884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -6, -2, 3 in decreasing order.\nAnswer: 3, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2351190 and -4.\nAnswer: -9404760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/234)\/((-318)\/(-689))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 6. Give c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45358 and -0.598?\nAnswer: 27124.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/15)\/(5 - 130\/20). Let c = 0.08 + 1.92. What is the second biggest value in j, c, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -0.0719051.\nAnswer: -0.0519051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -18, 4, 70, 192?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:33 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 21 (b) -8\/5 (c) 5 (d) 2 (e) -0.069 (f) -4 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -99.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 38*j - 38. Give b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2331097, 4662191, 6993285, 9324379, 11655473?\n\"Answer: 2331094*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:52 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(54) + sqrt(60)\/(1*sqrt(10)))*4)\/(sqrt(243) - (sqrt(243) - (sqrt(243) - (sqrt(243) + 4*sqrt(243)*1 + sqrt(243)))) - sqrt(243)*-2*-6) + 2.\nAnswer: -28*sqrt(2)\/153 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3327 is divided by 83?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -0.1. Let h = -25 + 24.9. What is the nearest to h in -1\/3, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 19. Suppose 2 + 2 = x*s - 4*z, -s + 5*z = 6. Suppose -2*g = -s*m - 7*g + 117, m + 2*g - 33 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -156*s**2 - 8*s + 8. Let i(l) = 52*l**2 + 3*l - 3. Let t(a) = -8*i(a) - 3*r(a). Let p(q) = 15*q - 28*q - 21*q + 8*q + 22*q. Give p(t(w)).\nAnswer: -208*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.2 - -24.2. Put 0.3, j, 0.034, -0.1 in ascending order.\nAnswer: j, -0.1, 0.034, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/1 - (-54)\/252*38. What is the closest to a in -0.1, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}